Bella spent 4/7 of her money on a dictionary and 3 identical books. She spent 1/6 of the remainder on a journal that cost $7. a) How much did she spend on the dictionary and 3 books? b) If 3/8 of the cost of the dictionary was the same as 1/2 of the total cost of 3 books, how much did each book cost?

Answer:

23

Step-by-step explanation:

29 minus 6 equals 23

Answer:

k = 23

29 = k + 6

Step-by-step explanation:

29 = k + 6

k = 29 - 6

k = 23

Answer:

The answer is n = 11

Explanation:

Divide both sides by 5

Move the constant to the right

Then add the numbers.

Answer:

n is 11

Step-by-step explanation:

because when you work backwards 45 divided by 5 is 9 so then 9 + 2 is 11 and that is N

Part(a): The value of the Z-score is -1.2

Part(b): The age of the winner is -1.2 standard deviation from the mean.

Part(c): Yes, the age is unusual.

Given,

[tex]\mu =27.2\\\sigma = 3.5[/tex]

Winner age, X = 23

Part(a):

The formula for the Z-score is,

[tex]Z=\frac{x-\mu }{\sigma } \\=\frac{23-27.2}{3.5}\\=-1.2[/tex]

Part(b): The age of the winner is -1.2 standard deviation from the mean which is equal to its Z-score value.

Part(c): Yes, the age is unusual.

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To calculate the z-score, subtract the mean age from the winner's age and divide by the standard deviation, resulting in -1.2. This indicates the winner is 1.2 standard deviations younger than the mean age. Since the z-score is not beyond -2, the age is not considered unusual.

The question requires us to calculate a z-score and interpret the results regarding a recent cycling tournament winner's age in context of a normal distribution.

Calculating the z-score

To calculate the z-score:

Subtract the mean age from the winner's age.

Divide by the standard deviation.

In our case:

The winner's age = 23 years

The mean age = 27.2 years

The standard deviation = 3.5 years

Thus, z = (23 - 27.2) / 3.5 = -1.2

Interpretation

This z-score means the winner's age was 1.2 standard deviations to the left of the mean. In other words, the winner is younger than the average.

Determining Unusual Age

If we consider ages that lie more than 2 standard deviations from the mean as unusual (which corresponds to roughly the outer 5% of data in a normal distribution), then a z-score of -1.2 does not qualify as unusual, since it is not beyond the 2 standard deviation threshold.

Answer:

313.3084 in3

Step-by-step explanation:

To find the final volume of the finished ball, we need to find the volume of the whole sphere and then decrease it by the volume of the three holes.

The volume of the sphere is given by this formula:

V = (4/3)*pi*r^3

Where r is the radius. In our case, the radius is 8.5 / 2 = 4.25 in, so the volume is:

V1 = (4/3)*pi*4.25^3 = 321.5551 in3

The volume of each cilindrical hole can be calculated as:

V = pi*r^2*h

Where r is the radius and h is the height. We have that the radius is 1/2 = 0.5 inches and the height is 3.5 inches, so:

V2 = pi*0.5^2*3.5 = 2.7489 in3

So the final volume is:

V = V1 - 3*V2 = 321.5551 - 3*2.7489 = 313.3084 in3

Answer:

313.313inches³

Step-by-step explanation:

A bowling ball is spherical in shape hence,

The Formula used to calculate the volume of sphere is

= 4/3 πr³

For the question, we were given diameter.

Diameter of the bowling ball = 8.5 inches

Radius = Diameter ÷ 2

Radius = 8.5 inches ÷ 2

Radius = 4.25 inches

Hence,

Volume of a Sphere =

4/3πr³

= 4/3 × π ÷ 4.25

= 321.55509806inches³

Approximately = 321.56inches³

From the question we can see that the bowling ball has 3 cylindrical holes in it

With a diameter of 1 inch and a depth of 3.5inches

Hence we find the volume of these holes

Volume of a cylinder = πr²h

Diameter = 1 inch,

Radius = Diameter /2 = 1/2 inches

Height(Depth) = 3.5 inches

Volume of the cylindrical holes = π ×(1/2) ² × 3.5

Volumes = 2.749inches³

Since we have 3 holes ,

Volumes of the 3 holes = 2.749inches³ × 3

= 8.247inches³

The Volume of the total Spherical bowling ball

= Volume of the total bowling ball without holes - Volume of the cylindrical holes on the bowling ball

= 321.56inches³ - 8.247inches³

= 313.313inches³

Hence, the best estimate of the volume of resin in the finished ball = 313.313inches³

Answer: c) [tex]3x^4-13y^4+x^3y+9xy^3-8x^2y^2[/tex]

Step-by-step explanation:

[tex]9xy^3-4y^4-10x^2y^2+x^3y+3x^4+2x^2y^2-9y^4[/tex]

Let's rearrange from the 4th power to 1.

[tex]3x^4-4y^4-9y^4+x^3y+9xy^3-10x^2y^2+2x^2y^2[/tex]

Combine like terms (check if they have the same variable raised to the same power.

[tex]3x^4+(-4y^4-9y^4)+x^3y+9xy^3+(-10x^2y^2+2x^2y^2)[/tex]

[tex]3x^4+(-13y^4)+x^3y+9xy^3+(-8x^2y^2)[/tex]

[tex]3x^4-13y^4+x^3y+9xy^3-8x^2y^2[/tex]

Answer: decreasing; 0 < b < 1

Step-by-step explanation: I got this question on edge

Answer:

Decreasing/ 0<b<1

Thank me later ;)

Answer:

Step-by-step explanation:

Assume that you have two distinct and nonvertical lines, ℓ 1 {\ell _1} ℓ1 and ℓ 2 {\ell _2} ℓ2 in Slope-Intercept Form. They are parallel lines if their slopes are equal or the same. They are perpendicular lines if their slopes are opposite reciprocals of each other, or the product of their slopes equals −1.

Answer is y= -1

The equation will be y = -1/3x + 1 in slope-intercept form.

The general equation of a line is y = mx + c

where m is the slope of the line and c is the intercept.

A linear equation is defined as an equation in which the highest power of the variable is always one.

First, we need to determine the slope of the given line.

To do this, we convert the equation to the slope/intercept form:

y − 5 = -1/3(x+2)

y = -1/3x -2/3 + 5

y = -1/3x - 13/3

So the slope of the given line is -13.

The line passes through the point (6,−1)

Now we can use the point-slope form of a line to create the equation of the new line:

(y + 1) = (-1/3) (x - 6)

y = -1/3x + 2 -1

y = -1/3x + 1

Hence, the equation will be y = -1/3x + 1 in slope-intercept form.

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Answer: 15 tickets

Step-by-step explanation:

given that the cost of the bear = 30 tickets

He has paid $5 for 10 tokens to use to play games . And So far he's won 15 tickets and used 7 tokens for different games. Since he has won 15 tickets, then

He needs to will 30 -15 = 15 tickets

The best unit for the answer is ticket

Answer:

If you are asking for the equation, it is y= -(1/2)x -2

[tex]89 \: cm, \: \: 749 \: m, \: \: 560 \: dm, \: \: 452 \: km[/tex]

Step-by-step explanation:

The given lengths are written in increasing order as:

[tex]89 \: cm, \: \: 749 \: m, \: \: 560 \: dm, \: \: 452 \: km[/tex]

Answer:

7. 23.7

8. option 2

Step-by-step explanation:

Brainliest?

Final answer:

The painter charged $615 for a job that took 15 hours and required 3 cans of paint, which is answer choice (c).

Explanation:

To calculate the total charge for a painting job that took 15 hours and used 3 cans of paint, we need to plug these values into the painter's pricing formula, 35h + 30c.

Substituting the given values into the equation, we get:

Total charge = 35(15) + 30(3)

Total charge = 525 + 90

Total charge = $615

Therefore, the painter charged $615 for the job, which corresponds to answer choice (c).

Answer:

Step-by-step explanation:

1: SA = bh + (s1 + s2 + s3)H

2: A = lw

3: A = lw

Answer:

The answer is B) 9 faces, 7 rectangles, and 2 triangles

Step-by-step explanation:

Answer:

c its the right answer

Step-by-step explanation: i just took it and got it right

Answer:

its C!!

Step-by-step explanation:

Answer:

P(X=2)=0.04129

Step-by-step explanation:

-This is a binomial probability problem whose function is expressed as;

[tex]P(X=x)={n\choose x}p^x(1-p){n-x}[/tex]

-Given that p=0.6, n=8 , the probability that among the students in the sample exactly two are female is calculated as:

[tex]P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=2)={8\choose2}0.6^2(1-0.6)^6\\\\=0.04129[/tex]

Hence, the probability of exactly two females is 0.04129

To find the probability that exactly two students are female in a sample of 8 students, we can use the binomial probability formula. The probability is approximately 43.008%.

To find the probability that exactly two students are female, we can use the binomial probability formula. The formula is:

P(X = k) = C(n, k) * pk * (1-p)n-k

where:

In this case, n = 8, k = 2, and p = 0.6 (since 60% of the students are female). Plugging these values into the formula:

P(X = 2) = C(8, 2) * 0.62 * (1-0.6)8-2

Simplifying:

P(X = 2) = 28 * 0.62 * 0.46

P(X = 2) = 28 * 0.36 * 0.4096

P(X = 2) = 0.43008

Therefore, the probability that exactly two students are female in the sample is approximately 0.43008 or 43.008%.

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Answer:

p = x * (3/8)

Where p is the amount of a box and x is the number of people.

For x=2 -> p = 2 * (3/8) = 3/4

Step-by-step explanation:

If Mark uses 3/8 of a box to make enough for one person, we can find the amount required (p) to be enough for 'x' people using a rule of three:

3/8 of a box -> 1 person

p -> 'x' people

(3/8)/p = 1/x

p/(3/8) = x

p = x * (3/8)

If we want the amount for 2 people, we use x = 2 in the equation:

p = 2 * (3/8) = 3/4

So Mark will need 3/4 of a box.

To find the distance the diver needs to swim along the ocean floor to reach the treasure chest, we can use trigonometry. By using the angle of depression and the depth the diver is lowered, we can calculate the hypotenuse of the right triangle formed, which represents the distance the diver needs to swim. The diver needs to swim approximately 199 meters along the ocean floor to reach the treasure chest.

To find the distance the diver needs to swim along the ocean floor, we can use trigonometry. Let's consider the right triangle formed by the diver, the treasure chest, and the ship's sonar. The angle of depression is 12°, and the diver is lowered 40 meters. We need to find the hypotenuse of the triangle, which represents the distance the diver needs to swim.

Using the angle of depression and the opposite side of the triangle (the depth the diver is lowered), we can set up the following trigonometric equation:
tan(12°) = opposite/hypotenuse

Substituting the values:
tan(12°) = 40/hypotenuse

Solving for the hypotenuse, we get:
hypotenuse = 40/tan(12°)

Calculating this value gives us approximately 199.20 meters. Therefore, the diver needs to swim approximately 199 meters along the ocean floor to reach the treasure chest.

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Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

The probability at being stopped at exactly one light is 1-0.18-0.28=.54 or 54%.

Answer:

-5x+11c

Step-by-step explanation:

add the alike terms

Answer:

32

Step-by-step explanation:

Assuming they all complete it at the same rate,

896/28 = 32

Answer:

.88^9

Step-by-step explanation:

this is the only right answer on khan

The required probability of Chris Paul making all of his next 9 free throw attempts is 0.31

Given that,
Chris Paul is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 88\%88%88, percent of the time. The probability of Chris Paul making all of his next 9 free throw attempts is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
According to the question,
Probability is given as,
P = [0.88]⁹

P = 0.31

Thus, the required probability of Chris Paul making all of his next 9 free throw attempts is 0.31

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Answer:

P(E and F) = 0.123

P(E or F) = 0.677

P(E|F) = 0.189

Step-by-step explanation:

The formula for conditional probability is P(B|A) = P(A and B)/P(A)

The addition rule is P(A or B) = P(A) + P(B) - P(A and B)

∵ P(E) = 0.15

∵ P(F) = 0.65

∵ P(F|E) = 0.82

- Use the first rule above

∵ P(F|E) = P(E and F)/P(E)

- Substitute the values of P(F|E) and P(E) to find P(E and F)

∴ 0.82 = P(E and F)/0.15

- Multiply both sides by 0.15

∴ 0.123 = P(E and F)

- Switch the two sides

∴ P(E and F) = 0.123

Use the second rule to find P(E or F)

∵ P(E or F) = P(E) + P(F) - P(E and F)

∴ P(E or F) = 0.15 + 0.65 - 0.123

∴ P(E or F) = 0.677

Use the first rule to find P(E|F)

∵ P(E|F) = P(F and E)/P(F)

- P(F and E) is the same with P(E and F)

∴ P(E|F) = 0.123/0.65

∴ P(E|F) = 0.189

Answer:

If it was reflected over the y-axis, the x variable would be inverted, causing the coords to be M(2,8)

Answer: 6 and 9, 7 and 8. 69, 78, 87, 96. So, there are only 4 combinations which would result in 15.

Step-by-step explanation:

Therefore the average sum of three numbers is 45:3=15. The number 15 is called the magic number of the 3x3 square. You can also achieve 15, if you add the middle number 5 three times. The odd numbers 1,3,7, and 9 occur twice in the reductions, the even numbers 2,4,6,8 three times and the number 5 once.

9+1+3+2= 15

Hope this helps you:)

Answer:

14$

2+3+4+5=14

Answer:

130 centimeters

Completed question;

Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below.

Todd wants to paint a design on the wood along the diagonal shown. If each tile is 13 centimeters on each side, what is the length of the diagonal shown?

A. 182 centimeters

B. 169 centimeters

C. 130 centimeters

D. 91 centimeters

Step-by-step explanation:

To determine the length of diagonal, we have to first find the length of each side;

According to the attached image;

The length consist of 8 tiles

And breadth consist of 6 tiles

Length per tile = 13 centimeters

Length = 8 × 13 = 104 centimeters

Breadth = 6×13 = 78 centimeters

Using Pythagoras theorem;

diagonal length d = √(104^2 + 78^2)

d = 130 centimeters

Answer:

Required equation of tangent plane is [tex]z=\frac{6}{5}(x-5y-11)[/tex].

Step-by-step explanation:

Given surface function is,

[tex]f(x,y)=6-\frac{6}{5}(x-y)[/tex]

To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

[tex]z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)[/tex]

So that,

[tex]f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}[/tex]

[tex]f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}[/tex]

[tex]f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6[/tex]

Substitute all these values in (1) we get,

[tex]z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}[/tex]

[tex]\therefore z=\frac{6}{5}(x-5y-11)[/tex]

Which is the required euation of tangent plane.

Answer:

68

Step-by-step explanation:

Take the cost of all 4 tiers and divide by 4

272/4 =68

The cost of 1 tire is 68

Answer:

x=-1

Step-by-step explanation:

4x+3x=2x-5

7x=2x-5

7x-2x=2x-5-2x

5x=-5

Answer:

[tex]14x-35[/tex]

[tex]\mathrm{Please\:vote\:me\:Brainliest\:if\:this\:helped!}[/tex]

Step-by-step explanation:

[tex]F=4x+3x,\:g=2x-5,\:F\left(x\right)\:\circ \:g\left(x\right):\quad 14x-35[/tex]

[tex]\mathrm{For}\:F=4x+3x\:\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=2x-5[/tex]

[tex]=4\left(2x-5\right)+3\left(2x-5\right)[/tex]

[tex]\mathrm{Expand}\:4\left(2x-5\right)+3\left(2x-5\right):\quad 14x-35[/tex]

[tex]\mathrm{Simplify}\:7\cdot \:2x-7\cdot \:5:\quad 14x-35[/tex]

[tex]\mathrm{Therefore,\:the\:answer\:is\:14x-35}[/tex]