Answer:
3/26
Step-by-step explanation:
The face cards are: Jack, Queen, and King. There are only three face cards for each of the 4 suits.
Among the 4 suits, two of them are red: diamonds and hearts. And, each of these two has 3 faces. That means that in a deck of 52 cards, there are 2 * 3 = 6 cards that are both red cards and face cards.
Probability is (# times specific event can occur) / (# times any general event will occur).
Here, the specific event is drawing a card that is both red and a face card (of which there are 6 ways), and the general event is drawing a card (of which there are 52 ways):
P(draw a card that is both red and a face card) = 6/52 = 3/26
Answer:
3/26
Step-by-step explanation:
In a deck of 52 cards, there are two red suits: Diamonds and Hearts
There are 6 red face cards:
2 red King
2 red Queen
2 red Jack
P(red face card) = 6/52 = 3/26
Solve for x: -4x - 4 = -4(x + 2)
Answer:
no solution
Step-by-step explanation:
-4x - 4 = -4(x + 2)
Distribute
-4x -4 = -4x -8
Add 4x to each side
-4x+4x - 4 = -4x+4x -8
-4 = -8
This is never true so there is no solution
Helppp !!
Choose the point-slope form of the equation of this line.
A.) y – 8 = –5(x – 3)
B.) y – 8 = –5(x + 3)
C.) y + 8 = –5(x – 3)
D.) y + 8 = –5(x + 3)
Answer:
the answer is c
Step-by-step explanation:
Answer:
C. y + 8 = –5(x – 3)
second part is also C. y = –5x + 7
Step-by-step explanation:
The combination of Wendell and Maggie’s ages is 33. Wendell’s age is 3 less than 3 times the age of Maggie. How old is Wendell?
Step-by-step explanation:
The combination of Wendell and Maggie’s ages is 33. Let Maggie's age is x. It is mentioned that Wendell’s age is 3 less than 3 times the age of Maggie. It means, Wendell’s age is (3x-3).
ATQ,
[tex]x+(3x-3)=33\\\\4x-3=33\\\\4x=36\\\\x=9[/tex]
The age of Maggie is x. So, Wendell's age is :
[tex]y=(3x-3)\\\\y=(3(9)-3)\\\\y=24[/tex]
So, Wendell age is 24 years.
Please help me solve the problem
Answer:
y = - [tex]\frac{3}{2}[/tex] x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = - 4, y = 6, thus
6 = - 4k ( divide both sides by - 4)
[tex]\frac{6}{-4}[/tex] = k, or k = - [tex]\frac{3}{2}[/tex]
y = - [tex]\frac{3}{2}[/tex] x ← equation of variation
Evaluate (5x – 4y) = z2 when x = 4, y = 1, and z = 3.
Step-by-step explanation:
= ( 5x - 4y) = z2
Putting the values given
= 5 (4) - 4(1) = (3)2
= 20 - 5 = 6
= 15 = 6
= 15 - 6
= 9
If we flip an unfair coin, suppose the probability to get a 'Head' is 0.6 each time. In a random sample of 75 tosses, let p denote the proportion of getting a 'Head' in the 75 tosses. What is the standard error of the sample proportion p .
Answer:
Step-by-step explanation:
Question 3 of 5
2 Points
Which factor is most important for classifying two species into the same
group?
O
A. The species have the same set of traits.
O
B. The species have different common ancestors.
O
C. The species have the same common name.
O
D. The species live in the same place.
SUBMIT
The most vital factor for classifying two species into the same group is if they evolved from a shared ancestor, reflecting their place in the same clade and genetic similarities.
The most important factor for classifying two species into the same group is their evolutionary history, specifically whether they evolved from a shared ancestor. When scientists classify species, they adhere to the fundamental principle that all members of a group, or "clade," must have a recent common ancestor that is not shared with species from other groups. This is based on the idea that species within the same group will share more genetic similarities and phylogenetic traits than with those from different groups due to their more recent common ancestry.
Option A might seem plausible, as species in a group often share similar traits, but shared traits alone are not enough for classification without evolutionary context. Option C is incorrect because common names do not reflect scientific classification. Option D is also incorrect as geographic location is not a determinant for taxonomic classification. Thus, the correct answer to the original question is B, "The species have different common ancestors," as having a recent common ancestor is the most critical criterion for grouping species together.
A circle with radius \pink{9}9start color #ff00af, 9, end color #ff00af has a sector with a central angle of \purple{120^\circ}120 ∘ start color #9d38bd, 120, degrees, end color #9d38bd. What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
Area of sector = 84.861
Step-by-step explanation:
Given
The radius of the circle = 9
central angle of sector = [tex]120^{o}[/tex]
value of pi π = 3.143
To find : the area of sector = ?
We know that the formula to calculate area of sector is given as:
area of sector = (π [tex]r^{2}[/tex]Θ)/ [tex]360^{o}[/tex]
where, r is radius and Θ is the central angle of the sector
Substituting the known values in above formula, we get
area of sector = (3.143 x [tex]9^{2}[/tex] x [tex]120^{o}[/tex]) / [tex]360^{o}[/tex]
= 84.861
Hence area of sector is 84.861
Answer:
27 pi
Step-by-step explanation:
just did this one
What is the length of AB in the figure below?
Answer:
G. sqrt (74)
Step-by-step explanation:
Use the Pythagorean theorem to find AB, which is represented by c in the theorem.
a^2 + b^2 = c^2
7^2 + 5^2 = c^2
49 + 25 = c^2
74 = c^2 (Take the square root of each side)
c = sqrt (74)
So, AB = sqrt (74)
Length AB is an illustration of Pythagoras theorem.
The length of AB is (G) [tex]\mathbf{\sqrt{74}}[/tex]
The given figure is a right-angled triangle.
Such that:
AC = 7
BC = 5
AB = ?? The hypotenuse
Using Pythagoras theorem, we have:
[tex]\mathbf{AB^2 = AC^2 + BC^2}[/tex]
Substitute values for AC and BC
[tex]\mathbf{AB^2 = 7^2 + 5^2}[/tex]
Evaluate squares
[tex]\mathbf{AB^2 = 49 + 25}[/tex]
Add
[tex]\mathbf{AB^2 = 74}[/tex]
Take square roots
[tex]\mathbf{AB = \sqrt{74}}[/tex]
Hence, the value of AB is (G) [tex]\mathbf{\sqrt{74}}[/tex]
Read more about Pythagoras theorem at:
https://brainly.com/question/15138986
I don’t understand what to do with this one
Answer:
1 2/3
Step-by-step explanation:
Change the mixed number to an improper fraction
5 5/6 = (6*5+5)/6 = 35/6
Multiply the improper fraction by the fraction
5 5/6 * 2/7
35/6 * 2/7
70/42
Divide the top and bottom by 14
5/3
Changing back to a mixed number
3/3 +2/3
1 2/3
What is the missing length?
Answer:
The answer to your question is 7 in
Step-by-step explanation:
Data
base = 14 in
area = 98 in²
Formula
Area of a parallelogram = base x height
-Solve for height
height = Area of a parallelogram / base
-Substitution
height = 98 / 14
-Simplification
height = 7 in or p = 7 in
-Conclusion
The length of p = 7 in
70 divided by the ratio 3:2
Answer:
42 : 28
Step-by-step explanation:
Sum the parts of the ratio , 3 + 2 = 5
Divide 70 by 5 to find the value of one part of the ratio
70 ÷ 5 = 14 ← value of 1 part of ratio, thus
3 parts = 3 × 14 = 42
2 parts = 2 × 14 = 28
70 divided in the ratio 3 : 2 is 42 : 28
A bacterium in a petri dish multiplies by a factor of 31 every day. On day O,
there is 1 bacterium; on day 1, there are 31 bacteria; on day 2, there are
bacteria; on day 3, there are
bacteria, and so on.
What logarithmic equation can be used to find the number of days it takes for
a colony of 1 bacteria to develop?
Answer:
Step-by-step explanation:
Given that,
The bacterial increase a factor of 31 every day ,
Day 0 = 1 bacterium = 31^0
Day 1 = 31 bacterial = 31¹
Day 2 = 31× 31 bacterial = 31²
Day 3 = 31 × 31 × 31 bacterial = 31³
And so on,
Then, nth day will have
Day n = 31ⁿ bacterial
So, when will the bacterial be 1,000,000,000
Then,
31ⁿ = 1,000,000,000
Take the Natural logarithmic to base 31 of both sides
Log_31 (31)ⁿ = Log_31 (1,000,000,000)
n•Log_31 (31) = Log_31 (1,000,000,000)
Then, log_a (a) = 1
n = Log_31 (1,000,000,000)
Check attachment for better view
Then,
The correct answer is A
The width of a rectangle is the length minus 7 units. The area of the rectangle
is 8 units. What is the length, in units, of the rectangle?
Answer:
l=8
Step-by-step explanation:
w=l-7
Area=l*(l-7)=8 u
l^2-7l-8=0
l^2- 8l+l-8=0
l(l-8)+l-8=0
(l-8)*(l+1)=0
l-8=0 , l=8 or
l+1=0, l=-1 impossible
so l=8
To find the length of a rectangle when its width is the length minus 7 units and its area is 8 units, you can set up an equation and solve it. In this case, the length of the rectangle is 8 units.
Explanation:To solve this problem, you need to set up an equation based on the given information. Let's assume the length of the rectangle is 'L'. According to the problem, the width of the rectangle is the length minus 7 units. So, the width can be represented as 'L-7'.
The area of a rectangle is given by the formula 'length x width'. In this case, the area of the rectangle is 8 units. So, the equation would be: L x (L-7) = 8.
To find the length of the rectangle, you need to solve the equation. Expand the equation: L^2 - 7L = 8. Rearrange it to form a quadratic equation: L^2 - 7L - 8 = 0. Factorize or use the quadratic formula to find the values of 'L'. It turns out that the length of the rectangle is 8 units.
Learn more about Finding the length of a rectangle here:https://brainly.com/question/34224051
#SPJ3
Renee is sewing a quilt whose pattern contains right triangles. Each quilt piece has a height of 6 inches. And an area of 24 inches. How long is the base of each quilt piece?
Answer:
Base of quilt is 8 inch.
Step-by-step explanation:
Refer to the attachment.
Given that pattern on the quilt is right angle triangle. Consider ΔABC as right angle triangle where ∠ABC=90°.
Given that area of triangle is 24 in² and height is 6 inch that is, AB = 6 inch.
To find the base use formula for area of right angle triangle.
[tex]Area\:of\:triangle=\dfrac{1}{2}\times base\times height[/tex]
Substituting the values,
[tex]24=\dfrac{1}{2}\times base\times 6[/tex]
Simplifying,
[tex]24=\dfrac{6}{2}\times base[/tex]
Multiplying both sides by [tex]\dfrac{2}{6}[/tex],
[tex]24\times \dfrac{2}{6}=\dfrac{6}{2}\times base\times \dfrac{2}{6}[/tex]
Simplifying,
[tex]24\times \dfrac{2}{6}=base[/tex]
Dividing the numbers,
[tex]8=base[/tex]
Therefore, length of base of each quilt piece is 8 inch.
Solve for x. 8^(x+3)=32
Answer:
x = -4/3
Step-by-step explanation:
8^(x+3)=32
2^3 = 8
2^5 = 32
3( x + 3 ) = 5
3x + 9 = 5
3x = -4
x = -4/3
Tell me if I am wrong.
Can I get brainliest
Answer: x= -1 1/3 as a mixed number
Step-by-step explanation:
The midpoint of AB is M(-3,2). If the coordinates of A are (-1, -3), what are
the coordinates of B?
Answer:
the coordinates of B is (-5,7)
The coordinates of the other end of the line segment, point B, are calculated by rearranging the midpoint formula and substituting the given values, resulting in B = (-5,7).
Explanation:In mathematics, the midpoint of two points, A and B, can be calculated using the midpoint formula: ((x1 + x2) / 2, (y1 + y2) / 2). In this case, you are given the midpoint, M, and one of the points, A, and asked to find the other point, B. Given that M is (-3,2) and A is (-1,-3), you can rearrange the midpoint formula to solve for B: ((2 * xm - xA), (2 * ym - yA)).
Substitute the given values into this equation and you get B = ((2 * -3 - -1), (2 * 2 - -3)). Then perform the operations to find that B = (-6+1, 4+3) which simplifies to B = (-5,7).
Learn more about Finding Coordinates here:https://brainly.com/question/31738450
#SPJ2
Edgar is getting better at math. On his first quiz he scored 57 points, then he scores 61 and 65 on his next two quizzes. If his scores continued to increase at the same rate, what will be his score on his 9th quiz? Show all work.
Answer:
His score is increasing by four each time, so on his 9th quiz, his score will be 89
hope that helps!
Step-by-step explanation:
Answer:
no wonder is was crawlin thiw um
Step-by-step explanation:
becsuse swear to god no winder
here's a hard one! What is 2+2+2-6 :0
Answer:
0
Step-by-step explanation:
2 plus 2 is 4 then you add 2 which makes 6 then subtract 6 to get the answer of 0.
What is the surface area of the triangular pyramid shown?round to the nearest tenth.
Answer:
57.6 cm/mm/m/in/ft squared
Step-by-step explanation:
You will need to answer the each triangle separately which you have to use the formula 1/2*b*h
5.2*1/2(6) = 15.6
4*1/2(6) = 12
5*1/2(6) = 15*2 (2 sides)
total = 57.6 cm/mm/m/in/ft squared
hope this helps
An experiment consists of spinning a spinner. The table shows the results. Find the experimental probability that the spinner does not land on red. Express your answer as a fraction in simplest form.
Red: 10
Purple: 11
Yellow: 13
The experimental probability that the spinner does not land on red is 12/17.
Explanation:The question asks to find the experimental probability that a spinner does not land on red. To find this, we add the number of times the spinner landed on colors other than red and divide that sum by the total number of spins. In the given experiment, the spinner landed on purple 11 times and on yellow 13 times. Therefore, the total number of non-red outcomes is 11 (purple) + 13 (yellow) = 24.
The total number of spins is the sum of red, purple, and yellow outcomes: 10 (red) + 24 (non-red) = 34. The experimental probability of not landing on red is the number of non-red outcomes divided by the total number of spins, which gives us 24/34, which simplifies to 12/17.
Final answer:
The experimental probability that the spinner does not land on red is ⅔ or 12/17.
Explanation:
The question asks to find the experimental probability that the spinner does not land on red. To calculate this, we need to consider the total number of spins and the number of times the spinner did not land on red.
In this experiment, there were 10 instances of landing on red, 11 on purple, and 13 on yellow. To find the total number of spins, we add these together:
10 (red) + 11 (purple) + 13 (yellow) = 34 total spins
Now, to find the number of spins that did not land on red, we only consider the purple and yellow ones:
11 (purple) + 13 (yellow) = 24 non-red spins
The experimental probability is the number of non-red spins over the total number of spins:
Experimental probability = number of non-red spins / total number of spins = 24/34
To simplify this fraction, we divide both the numerator and the denominator by the greatest common factor, which is 2 in this case:
24 ÷ 2 = 12
34 ÷ 2 = 17
So, the probability in simplest form is:
Experimental probability = 12/17
the first term in the sequence is 38. each following term is found by subtracting 7 in the previous term. find the third term?
Answer:
24
Step-by-step explanation:
This is a simple sequence, and they are asking only for the third number in the sequence, so repeated subtraction using is the optimal method for solving for the final answer.
First start with the first term in the sequence, which is 38. The next term is found by subtracting 7.
2nd term = 1st term - 7 (original equation)
2nd term = 38 - 7 (substitute values)
2nd term = 31 (combine like terms by subtracting)
Then repeat this process to find the third term.
3rd term = 2nd term - 7 (original equation)
3rd term = 31 - 7 (substitute values)
3rd term = 24 (combine like terms by subtracting)
Therefore the third term is 24.
Two similar cones have volume of 343pi cubic centimeters and 512pi cubic centimeters. The height of each cone is equal to 3 times its radius. Find the radius and height of both cones
Answer:
For the first cone: r = 7 cm, h = 21 cm
For the second cone: r = 8 cm, h = 24 cm
Step-by-step explanation:
The volume of the first cone is [tex]343\pi cm^3[/tex]
The volume of the second cone is [tex]512\pi cm^3[/tex]
We are told that the height of each cone is 3 times its radius, hence:
h = 3r
The volume of a cone is given as:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Substituting h = 3r:
[tex]V = \frac{1}{3} \pi r^2(3r)\\\\\\V = \frac{1}{3} \pi (3r^3)\\\\\\V = \pi r^3[/tex]
For the first cone, V = [tex]343\pi cm^3[/tex], radius, r, will be:
[tex]343\pi = \pi r^3\\\\\\=> r^3 = 343\\\\\\r = \sqrt[3]{343} \\\\\\r = 7 cm[/tex]
∴ Its height will be:
h = 3r = 3 * 7 = 21 cm
For the second cone, V = [tex]512\pi cm^3[/tex], radius, r, will be:
[tex]512\pi = \pi r^3\\\\\\=> r^3 = 512\\\\\\r = \sqrt[3]{512} \\\\\\r = 8 cm[/tex]
∴ Its height will be:
h = 3r = 3 * 8 = 24 cm
The radius and height of the first cone are 7 cm and 21 cm respectively while the radius and height of the second cone are 8 cm and 24 cm respectively.
What is the line segment
Answer: I'm probably wrong, but I think it's 2
Step-by-step explanation: Estimate.
Can some help me with this please.
Evaluate x-2 for x = -3.
Answer:
-5
Step-by-step explanation:
plug -3 into the equation (x)-2
-3-2=-5 if you subtract a number from a negative you will get a negative.
-5
Answer:
-5
Step-by-step explanation:
You plug in the value of -3 in the place of x, which gives you the equation of -3-2. You would then solve by subtracting 2 from -3, which gives you -5
3(2x + 11) and (3x + 15)(2)
Answer:
3(2x+11)= 6x+33 and (3x+15)(2) = 6x+30
Step-by-step explanation:
Use distributive property to multiply the outside factor to each factor inside the parenthesis.
3(2x+11)
(3*2x)+(3*11)
6x+33
No, the given expressions 3(2x + 11) and (3x + 15)(2) are not equivalent.
Used the concept of distributive property that states,
The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation.
Given that the expressions are,
3(2x + 11) and (3x + 15)(2)
Now apply the distributive property in each expression,
3(2x + 11)
(3 × 2x) + (3 × 11)
6x + 33
(3x + 15)(2)
(3x × 2) + (15 × 2)
6x + 30
Therefore, both expressions are not equivalent.
To learn more about the distributive property visit:
https://brainly.com/question/2807928
#SPJ6
The complete question is,
Identify the equivalent expression,
3(2x + 11) and (3x + 15)(2)
Which triangle has hypotenuse Side A E?
A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
triangle BAE
triangle CAE
triangle GAE
triangle HAE
Answer: correct answer is triangle HAE
Step-by-step explanation:
The sum of 7 and 2 in simplest form is _____.
Answer:
The sum of 7 and 2 in simplest form is 9
Step-by-step explanation:
7+2=9
Which of the following are properties of the circumcenter of a triangle? Check all that apply.
Answer:A B D
Step-by-step explanation:
B, circumcenter of an acute triangle is inside of it, the circumcenter of an obtuse triangle is outside of it, and the circumcenter of a right triangle is on the hypotenuse. C, Thats the definition. D, it also goes with C.