A man has 25 25 coins in his pocket, all of which are dimes and quarters. if the total value of his change is $ 4.45 $4.45, how many dimes and how many quarters does he have?

Answers

Answer 1

If all were dimes, the value would be $2.50. The man has $1.95 more than that amount. Trading a dime for a quarter increases the value by $0.15, so there must be
$1.95/$0.15 = 13
quarters.

The man has 12 dimes and 13 quarters.

_____
Check:
12*$0.10 +13*$0.25 = $1.20 +3.25 = $4.45 . . . (answer checks OK)

Related Questions

Factor this trinomial completely.

2x^2 + 10x + 8

A. 2(x + 4)(x + 1)
B. 2(x – 4)(x – 1)
C. 2(x + 4)(x – 1)
D. 2(x – 4)(x + 1)

Answers

its A. 2(x + 4)(x +1).

The answer is
A. 2(x + 4) (x + 1)

David wants to rent a movie. He wants to watch either a comedy or a drama. The movie rental store has 18 comedies and dramas available for rent. Seven of the movies are comedies, and eleven of the movies are dramas. David has not seen two of the comedies, and he has not seen four of the dramas. If David selects a movie randomly, what is the probability the movie will be a comedy or a movie that he has not seen?

Answers

Let
A = number of ways to pick a movie David wants (either a comedy or a movie he hasn't seen)

B = number of movies total

There are 7 comedies and 4 dramas that David hasn't seen (note: the comedy movies that he hasn't seen are part of the "comedy movie" count, so there's no need to double count these). So there are 7+4 = 11 movies that David would want to rent. Therefore, A = 11.

There are 18 movies total for rent, so B = 18

Dividing the two values
A/B = 11/18 = 0.6111 approximately

The answer as a fraction is exactly 11/18
The answer in decimal form is roughly 0.6111
The answer in percent form is approximately 61.11%

[tex] |\Omega|=18\\
|A|=7+4=11\\\\
P(A)=\dfrac{11}{18}\approx61\% [/tex]

PLS HELP ME ASAP WITH 1 AND 2, THANK YOU!! SM!!

(Brainliest will be given hopefully!)

(Random answers gets moderated.)

Answers

I can't really help with 2) because I don't have my calculator on me, but I hope this helps :)

See the attachment for a table (1) and graph (2).

(3) The graph represents a function. The table has a domain of [0, 7] and a range of [170, 240].

The function might reasonably be used over a domain of [0, 24] and a range of [0, 240].

please help. there is a picture below

Answers

Two triangles are similar if and only if all corresponding angles are equal (congruence), even if the corresponding sides are equal or not, therefore the answer is true because ΔJKL and ΔRST are similar and the statement above demands that "it must be", namely, this is a sufficient condition.

The sum of two numbers is 25, and the difference of their squares is 75. what are the two numbers?

Answers

x+y=25
14*14=196
11*11=121

196-121=75
the answer is x=14 and y=11

evaluate a = log(0.1) and b = ln(e^3)

Answers

[tex]log0.1=log\dfrac{1}{10}=log10^{-1}=-log10=-1\to a=-1\\\\lne^3=3lne=3\to b=3\\\\Used:\\\\a^{-1}=\dfrac{1}{a}\\\ loga^b=b\cdot loga\\\\log_aa=1[/tex]

What are the minimum, first quartile, median, third quartile, and maximum of the data set?
12, 6, 8, 3, 10, 15, 18, 7

Answers

If we rearrange the given data set from lowest to highest, we have
[tex]3,\:6,\:7,\:8,\:10,\:12,\:15,\:18[/tex]

The minimum is 3.

The first quartile is the average of 6 and 7, which is 6.5

The median is the average of 8 and 10 which is 9.

The third quartile is the average of 12 and 15 which is 13.5.

The maximum is 18.

Write an equation in intercept form of the parabola that Passes through (-1,40) and x=-5, 4

Answers

At first I didn't understand what you meant by "x = -5, 4. What I think you meant was "the horizontal intercepts of the graph of this parabola are (-5,0) and (4,0)."

If this is the case, then the equation of the parabola is found as follows:

y=ax^2 + bx + c for the point (-5, 0) is 0=a(-5)^2 + b(-5) + c
for the point (4,0) is 0 = a(4)^2 +b(4) + c
for the point (-1,40) is 40 = a(-1)^2 + b(-1) + c

Here we have 3 equations in 3 unknowns, which is enough to solve for {a,b,c}. Using matrix algebra, I found that a= -2, b= -2, c= 40.

Then one equation for this parabola would be:

y = -2x^2 - 2x + 40

Check this by substitution. Does the point (-5,0) satisfy y = -2x^2 - 2x + 40?
Yes. So y = -2x^2 - 2x + 40 is the general form of the equation of this parabola. To express it in intercept form, factor y = -2x^2 - 2x + 40.

If (-3)^-5=1/x, what is the value x?

Answers

[tex](-3)^{-5} = \frac{1}{x}, \frac{1}{(-3)^{5}} = \frac{1}{x} , (-3)^{5}=x, x= - 243[/tex]

The solution is, x = -243 is the value of (-3)^-5=1/x.

What is algebraic identities?

The algebraic equations are those which are valid for all values of variables in them are called algebraic identities.

Here we have:

Given that,

(-3)^-5=1/x

now, we have to simplify this expression, to get the value o x .

so, we get,

1/(-3)^5=1/x

or, (-3)^5=x

or, x = -243

Hence the value of the expression (-3)^-5=1/x , is x= -243.

(Note the expression asked is different by minus sign, but generally these questions solved as above. It would be a printing mistake)

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A quiz consists of two multiple-choice questions. the first question has a total of 7 possible answers followed by the second question which has a total of 3 possible answers. if both questions are answered with random guesses,

Answers

the probability to answer both correctly is 1/7(1/3)=1/21, if that was the question.

A two digit number with two different digits has a special property when th sum of its digits is added to the product of its digits the result is the number itself

Answers

When th sum you forgot the e on the

Select all that are undefined. sec (45°) csc (0°) sec (90°)

Answers

sec(45°) = 1/cos(45°) = 1/(rt(2)/2) = rt(2)

csc(0°) = 1/sin(0°) = 1/0 /undefined/

sec(90°) = 1/cos(90°) = 1/0 /undefined/

Final answer:

The sec(45°) and sec(90°) are defined, but csc(0°) is undefined.

Explanation:

To determine which of the given trigonometric functions are undefined, we need to understand the domains of these functions. In trigonometry, the secant and cosecant functions are undefined for angles where the cosine and sine functions are equal to zero, respectively.

For sec(45°), the cosine of 45° is equal to √2/2, which is not zero. Therefore, sec(45°) is defined.For csc(0°), the sine of 0° is equal to 0, which results in division by zero. Hence, csc(0°) is undefined.For sec(90°), the cosine of 90° is equal to 0, which again leads to division by zero. Thus, sec(90°) is undefined.

JK, KL, and LJ are all tangent to circle O. The diagram is not drawn to scale. If JA = 10, AL = 23, and CK = 9, what is the perimeter of ∆JKL
A.84
B.66
C.42
D.38

Answers

Answer: the perimeter of JKL is 84

ik this is rlly late but to help anyone else who gets this question:

This is an equilateral triangle, so the adjacent length is gonna be the same value as its corresponding length that was listed

JA = 10

JB = JA, JB is also 10

JA + JB (10+10) = 20

AL = 23

LC = AL, LC is also 23

AL + LC (23+23) = 46

CK = 9

KB = CK, KB is also 9

CK + KB (9+9) = 18

add all those up:

20 + 46 + 18 = 84

A family of four (two kids and two parents) spend the day at an amusement park. At the end of the day, the family adds up all of the receipts from their meals: $16.25, $17.96, $3.58, $4.61, $5.23. What is the mean and median cost spent? What does the mean cost represent? Why is the mean cost significantly different from the median cost? Which measurement of central tendency is a better representation of the amount of money that the family spent at the amusement park?

Answers

A family of four spent the following for their meals $16.25, $17.96, $3.58, $4.61, $5.23.

Mean cost spent is calculated by:

Total Cost/Number of Meals

(16.25+17.96+3.58+4.61+5.23)/5

47.63/5

$9.53

Mean Cost represents the average amount per meal the family has spent.

Median cost is the cost that in the middle of the five costs which is $5.23.

The mean cost is significantly different from the median cost because it is higher.

Median cost is a better representation of the amount of money that the family spent because, with regard to meal costs, this means that exactly half of the meals in the amusement park are above this price ($5.23) and exactly half are below.

A. 0
B. 4
C. 2
D. -2

Answers

The way to find the midpoint of a segment is to add the coordinates of the points you're trying to do the midpoint for and then divide by two (so it's the midpoint). Sine we're trying to find the midpoint of WQ, we need to add the coordinate of W and the coordinate of Q and then divide by 2. The coordinate of W is -8, and the coordinate of Q is 4. -8 + 4 = -4, divided by 2 is -2. That means that our answer is D, or -2.

Which function represents a reflection of f(x) = 5(0.8)x across the x-axis? A. g(x) = 5(0.8)–x B. g(x) = –5(0.8)x C. g(x) = 1/5(0.8)x D. g(x) = 5(–0.8)x

Answers

If g(x) is a reflection of f(x) over the x axis, then g(x) = -1*f(x), which can be shortened to g(x) = -f(x). We stick a negative outside the entire f(x) function to flip the signs of each y coordinate. For example, if the point (1,2) was on f(x), then (1,-2) is on g(x).

So f(x) = 5(0.8)^x turns into g(x) = -5(0.8)^x

Answer: Choice B

Answer:

2nd option

Step-by-step explanation:

is it always true that trapezoids height is the distance between the 2 bases?

Answers

No. One side can be higher than the other side, therefore, a trapezoids height isn't always the distance between the 2 bases.

Using sin^2x+ cos^2 x=1 and other trig properties, simplify the following: (cos^2Ø*tan^2Ø)/(1-cos^2 Ø.

Answers

[tex]\dfrac{\cos^2\O\cdot\tan^2\O}{1-\cos^2\O}=\dfrac{\cos^2\O\cdot\tan^2\O}{\sin^2\O}=\dfrac{\cos^2\O}{\sin^2\O}\cdot\tan^2\O\\\\=\dfrac{1}{\dfrac{\sin^2\O}{\cos^2\O}}\cdot\tan^2\O=\dfrac{1}{\left(\dfrac{\sin\O}{\cos\O}\right)^2}\cdot\tan^2\O=\dfrac{1}{\tan^2\O}\cdot\tan^2\O\\\\=\dfrac{\tan^2\O}{\tan^2\O}=1[/tex]

[tex]Used:\\\\\sin^2\O+\cos^2\O=1\to1-\cos^2\O=\sin^2\O\\\\\tan\O=\dfrac{\sin\O}{\cos\O}[/tex]

cos^2 x is the right answer.

Maria needs to mail 3 letters. Each letter costs $0.41 to mail. How much change will she get back if she gives the clerk $2.00?

Answers

If Maria gives the clerk $2.00 then she will get $0.77 back in change.

I found this by using the expression x = 2.00 - 3(0.41) and solving for x.

Final answer:

Maria has to mail 3 letters, each costing $0.41, totaling to $1.23. She gives the clerk $2.00, so the change she will get back is $2.00 - $1.23 = $0.77.

Explanation:

This problem is about simple arithmetic and money management. Maria has to mail 3 letters, each costing $0.41. This means that the total expense that Maria has to pay is $0.41 * 3, which equals $1.23. Maria gives the clerk $2.00, so to find out the change, subtract the total cost of the letters ($1.23) from the amount she gave to the clerk ($2.00). So, the change Maria will get back is $2.00 - $1.23 = $0.77.

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A set of n = 15 pairs of scores (X and Y values) has SSX = 4, SSY = 25, and SP = 6. What is the Pearson correlation for these data

Answers

The Pearson correlation can be calculated by the formula:
[tex]r = \frac{SP}{ \sqrt{SS_{x}SS_{y} } } [/tex]

Therefore:

r = 6 / √(4·25)
= 6 / √100
= 6 / 10
= 0.60

Hence, the Pearson correlation for this set is 0.60

What is the minimum value of the graph of y=sin x assumes

Answers

Short answer: - 1
The first thing you should do is draw this or get a program to do it. I use desmos. It is included. The graph shows one complete cycle every 2*pi intervals (or 360 degrees.)

You will find no lower value that y = - 1 (nor any value greater than y = 1)

Answer:

the answer is

negative one

- 1

Step-by-step explanation:

The area of a rectangular garden is given by the trinomial x2 + x – 42. What are the possible dimensions of the rectangle? Use factoring.

Answers

x^2 + x - 42 =

= x^2 + 1x - 42
             ^      ^
             |       |
             |      you need two numbers that multiply to -42
             |
           and add to 1

Find two numbers whose product is -42 and whose sum is 1.
The numbers are -6 and 7.

x^2 + x - 42 = (x - 6)(x + 7)

Final answer:

The dimensions of the rectangle given by the trinomial (x² + x – 42) are 7 and 6, which are derived by factoring the trinomial and applying the quadratic formula.

Explanation:

To find the possible dimensions of the rectangle, we start by factoring the trinomial that represents the area of the rectangle, namely x² + x – 42.

This can be factored as (x + 7)(x - 6), which are the roots of the quadratic equation when set to equal zero.

The roots, or solutions to this equation, can be calculated using the quadratic formula, -b ± √b² - 4ac 2a, which includes squaring the coefficient of the x-term, subtracting four times the product of the remaining coefficients, and dividing the result by twice the leading coefficient.

In this case, the dimensions that correspond to these roots, namely length and width, are 7 and -6. However, since dimensions cannot be negative, we disregard -6. Therefore, the possible dimensions of the rectangle are 7 and 6.

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find the point slope equation for (-2,-20) and (9,79)

Answers

Start by identifying your x1, x2, y1, and y2 values
x1: -2
x2: 9
y1: -20
y2: 79

The general form for writing a point slope equation is y-y1 = m(x-x1)
M is your slope.
To find the slope, plug the values you just identified into the equation y2-y1/x2-x1
This leaves you with 79+20/9+2
Which equals 9, so your slope (m) equals nine.
you can now plug everything into the general form which gives you:
y+20 = 9(x+2)

Final answer:

The point-slope equation for the points (-2,-20) and (9,79) is y + 20 = 9(x + 2).

Explanation:

To find the point-slope equation, we can use the formula: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Firstly, we calculate the slope using the formula: m = (y2 - y1)/(x2 - x1). Given the points (-2, -20) and (9, 79), the slope is (79 - (-20))/(9 - (-2)). Simplifying the expression, we get m = 99/11 = 9.

Next, we substitute one of the points and the calculated slope into the point-slope formula. Let's choose (-2, -20). So the equation becomes: y - (-20) = 9(x - (-2)). Simplifying further, we have: y + 20 = 9(x + 2).

This is the point-slope equation for the given points: y + 20 = 9(x + 2).

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Identify the pattern for the following sequence. Find the next three terms in the sequence. 5, 2, -1, -4, ____, ____, ____,... a. Subtract 3; -7, -10, -13 b. Add 3; -7, -10, -13 c. Subtract -3; 7, 10, 13 d. Add 3; 1, 4, 7 Please select the best answer from the choices provided

Answers

The correct answer for the completion exercise shown above is the first option (Option a), which is:

a. Subtract 3; -7, -10, -13

The explanation is shown below:

1. You have the following sequence 5, 2, -1, -4

2. The first second number is the result of a substraction:

5-3=2

3. Then you have:

2-3=-1
-1-3=-4
-4-3=-7
-7-3=-10
-10-3=-13

Therefore, the answer is the optiones mentioned before.

Answer:

A.Subtract 3:-7,-10,-13

Step-by-step explanation:

We are given that a sequence

5,2,-1,-4,...

We have to identify the pattern of the givens sequence and next three terms.

[tex]a_1=5,a_2=2,a_3=-1,a_4=-4[/tex]

[tex]a_2-a_1=2-5=-3[/tex]

[tex]a_3-a_2=-1-2=-3[/tex]

[tex]a_4-a_3=-4-(-1)=-3[/tex]

The difference between two consecutive terms are equal.When the difference between two consecutive terms are equal then the sequence is called arithmetic sequence.Hence, the sequence is arithmetic sequence.

[tex]a_5=a_4-3=-4-3=-7[/tex]

[tex]a_6=a_5-3=-7-3=-10[/tex]

[tex]a_7=a_6-3=-10-3=-13[/tex]

Answer:A.Subtract 3:-7,-10,-13

Help
A survey was taken of 36 people to see if they owned a car and/or a truck. The results are shown in the Venn diagram.

Enter your answers in the boxes to complete the two-way table based on the given data.

Answers

Answer: The table should look like this

4 9 13

15 8 23

19 17 36

Step-by-step explanation:Happy to help

Based on the complete table, 19 people own a car, 13 people own a truck while 8 people neither own a car nor a truck.

How to complete the table

A survey was taken of 36 people to see if they owned a car and/or a truck. The results are shown in the Venn diagram.

own a car Dont own a car Total

Own a trcuk 4 9 13

Dont own a trcuk 15 8 23

Total 19 17 36

Those that own car 15 + 4 =19

those that own truck 9 + 4 = 13

Those that own car and truck 4 (Given)

Those that owns none = 36-15-9 - 4 = 8

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Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial. x - 2; 4x2 - 3x + 22

Answers

Answer:

[tex]x-2[/tex] is not a factor of [tex]p(x)=4x^2-3x+22[/tex].

Step-by-step explanation:

According to the factor theorem, if [tex]x-a[/tex] is a factor of [tex]p(x)[/tex], then [tex]p(a)=0[/tex].

Let [tex]p(x)=4x^2-3x+22[/tex]. If [tex]x-2[/tex] is a factor of [tex]p(x)=4x^2-3x+22[/tex], then [tex]p(2)=0[/tex].

Let us plug in [tex]x=2[/tex] in to the function to see if it will give us zero.

[tex]p(2)=4(2)^2-3(2)+22[/tex]

We simplify to obtain,

[tex]p(2)=4(4)-3(2)+22[/tex]

[tex]p(2)=16-6+22[/tex]

[tex]p(2)=10+22[/tex]

[tex]p(2)=32[/tex]

Since [tex]p(2)\ne0[/tex], [tex]x-2[/tex] is not a factor of [tex]p(x)=4x^2-3x+22[/tex].

Final answer:

According to the Factor Theorem, 'x - 2' is not a factor of the polynomial '4x^2 - 3x + 22'. This determination was made by plugging '2' into the second polynomial and finding that it does not result in zero.

Explanation:

For a polynomial P(x), the Factor Theorem states that if you plug a value 'a' into the polynomial and get zero (P(a) = 0), then x-a is a factor of that polynomial. In this case, you are asked to determine whether 'x - 2' is a factor of the quadratic function '4x^2 - 3x + 22'.

To do so, according to the Factor Theorem, plug the value '2' into the second polynomial function, so we have 4*(2)^2 - 3*(2) + 22 = 16 - 6 + 22 = 32. Because this does not equal zero, we can conclude that 'x - 2' is not a factor of the second polynomial '4x^2 - 3x + 22' based on the Factor Theorem.

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Adrian has been adding 6 cards to his sports card collection each week. He started with 20 cards. Let x be the number of weeks he saves cards. Which inequality would help him find the number of weeks it will take him to have more than 100 cards?

Answers

Final answer:

In this mathematical context, the inequality 20 + 6x > 100 can help Adrian find out the number of weeks he needs to continue his weekly addition of 6 cards to his sports card collection to exceed 100 cards in total.

Explanation:

The subject of this question is Mathematics and it appears to be at a Middle School level. The problem involves understanding and using linear equations and inequalities.

In this situation, Adrian starts with 20 cards and adds 6 more each week. So his total number of cards is represented by the equation 20 + 6x, where x is the number of weeks. If he wants to have more than 100 cards, we set up an inequality like this:

20 + 6x > 100

Thus, the inequality 20 + 6x > 100 allows Adrian to calculate the number of weeks x he needs to continue adding cards to his collection in order to exceed 100 cards total.

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Final answer:

To figure out when Adrian's sports card collection will surpass 100 cards given he is adding 6 cards each week, we can set up the inequality [tex]20 + 6x > 100[/tex]. Solving this gives us that Adrian should wait at least 14 weeks to have more than 100 cards.

Explanation:

The subject of this question is Mathematics, specifically, linear algebra and inequalities. Adrian has a sports card collection which began with 20 cards. Every week, he is adding 6 new cards. The statement that relates his ongoing collections would be: 20 + 6x, where x is the number of weeks. Adrian wants to know when his collection will exceed 100 cards. To determine this, we must set up an inequality: [tex]20 + 6x > 100[/tex]. Solving this inequality gives us [tex]x > (100-20)/6[/tex], or [tex]x > 13.33[/tex]. Therefore, Adrian will need to wait at least 14 weeks to have more than 100 cards in his collection given he is adding 6 new cards per week.

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Find the probability of drawing a heart or a black card from a standard deck of cards

Answers

75%

Hearts and black cards make up 3 of the 4 suits of cards. You could count the amount of them and then divide by 52 cards, or you can divide 3 by 4 since there are the same amount in every suit.

Final answer:

The probability of drawing a heart or a black card from a standard deck of cards is 3/4.

Explanation:

In a standard deck of cards, there are 52 cards in total. However, since we are interested in finding the probability of drawing a heart or a black card, we need to determine how many cards satisfy this condition.

There are 13 hearts in a deck, so the probability of drawing a heart is 13/52 or 1/4. Additionally, there are 26 black cards (13 spades and 13 clubs) in a deck, so the probability of drawing a black card is 26/52 or 1/2.

To find the probability of drawing a heart or a black card, we can add the probabilities together: 1/4 + 1/2 = 3/4.

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your mom is looking at he amount of sugar in two different drinks the apple juice has 216 grams sugar for every 8 serving the sprite 234 grams of sugar for every 9 serving which drink has more sugar

Answers

The apple juice has 27 grams per serving and the sprite has 26 grams per serving. So the apple juice has more. You just divide the total amount by the number of servings.

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP!! WILL GET BRAINIEST IF YOU SHOW WORK

1. Simplify the radical

2. Simplify the radical

3. Simplify the radical

4. Simplify the radical

Answers

the root of 27 is 3root3.

The simplification of the radical is c/3

What are radicals in math?

Radicals in math refer to expressions containing square roots or higher-order roots.

Represented by the radical symbol (√), they involve finding the root of a number. For example, √9 equals 3, as 3 * 3 equals 9.

Simplifying the surd;

√3c²)/√27

= √3 × √c²)/√9 × √3

= √3c/3√3

= c/3

Therefore the simplification of √3c²)/√27 is c/3.

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What are examples of organizational artifacts? select one:a. the unwritten rules that allow members to know what is expected of them.b. project team member job satisfaction.c. physical manifestations such as logo, dcor, dress, and physical layout.d. how people relate to each other? Please help!!!!!!! Estoy comiendo una manzana. correct or incorrect BRAINLIESTTTTT ASAP!!!1. Boron is to the immediate left of carbon in the same row in the periodic table. Which of the following statements compares the radius and pull exerted by the protons of boron and carbon atoms?Boron has a smaller radius and the protons in carbon exert a greater pull.Boron has a larger radius and the protons in carbon exert a greater pull.Boron has a smaller radius and the protons in carbon exert less pull.Boron has a larger radius and the protons in carbon exert less pull.2. Which of the following is a compound?Cl2H2OHeH2 A number cube is rolled 120 times. The number 4 comes up 47 times. What is the experimental probability of rolling a 4? What is the theoretical probability of rolling a 4?A. 47/120; 1/30B. 47/120; 1/6 ******C. 4/47; 1/6 D. 1/6; 47/120 Am I Correct? 10 points! Please help!How did religion help inspire African American slaves? Naomi is giving a presentation on historical figures. She has all the pictures of the people she wants to talk about. After each picture, she wants to write a summary of the accomplishments of each person. Which represent the process for making her presentation?A Click on File/Disk, select all pictures using the Shift key, and select New Text Box after each person.B Click on New Text Box, select File/Disk, select a picture, then repeat for each one.C Click on File/Disk, select each picture, then add captions to each slide.D Click on New Text Box, select all pictures using the Shift key, then add captions to each slide. Which kind of function best models the data in the table? Use differences or ratios.A. linear B. quadraticC. exponentialD. none of the above What best describes the expression y over 3?A. 3 more than some numberB. Some number times 3C. Some number divided by 3D. 3 less than some number Riley rubs two rocks together. She notices that some of the surface of one of the rocks was worn away to form small particles. What has happened to that rock?Was it Eroded or weathered? Robin tosses two number cubes 100 times and get a pair of 3s 18 times. What is the probability that she will roll a pair of 3s on her next toss? Which type of irony is feigning ignorance to gain knowledge? Dr. proctor is conducting an experiment to see if hummingbirds will visit red flowers more or less often than they visit yellow ones. what will be the independent variable in dr. proctor's experiment What two layers of the egg must the sperm penetrate to reach the egg's plasma membrane? How did the United States increase the size of its military during the Vietnam War?A. It required all male college students to fight.B. It offered financial rewards to recruits.C. It implemented a draft to increase troop size.D. It took over the South Vietnamese military. a band that will be the opening act for a concert charges a $700.00 flat fee as well as 16% of all ticket profits from ticket sales. if the band earned $1,200, how much was made in total ticket sales for the show? The table shows the sports interests of 75 students.SportFootballBasketballSwimmingSoccerCross CountryNumber of Students241912155What is the probability that one student likes either swimming or soccer?a. 0.36c. 0.34b. 0.27d. 0.55 It's actual D) to desegregate buses involved in interstate travel At Northwest Highschool, there are 1472 students in the junior class and 1012 students in the senior class. To let the juniors work with more experienced students, the teachers want to assign the students to committees with the same same number of juniors in each committee and the same number of seniors in each committee. (For example, there might be 2 juniors and 3 seniors in every committee). What is the largest number of committees that can be formed? What are the steps in preparing and passing the federal budget? John likes 400 but not 300; he likes 100 but not 99; he likes 3600 but not 3700. Which does he like?o 900o 1000o 1100o 1200