Find the value of z.

Answer:

s = 10w

Step-by-step explanation:

First we need to find the slope

Since the point goes through (0,0), the slope is y/x

Using the point (1,10)

10/1 = 10

The equation is

y = mx+b

The slope is m and the y intercept is b  

The slope is 10 and the b intercept is 0

y = 10x

Changing to the variables on the graph

s = 10w

Answer:

The output is 14

Step-by-step explanation:

y = 5x-6

Let x = 4

y = 5(4) -6

y = 20-6

y = 14

Answer

c) (-3/4)pi

Step-by-step explanation:

radians = degrees*(pi/180)

radians = (-135)*(pi/180)

radians = (-135(pi))/180

Simplify to (-3(pi)/4) or (-3/4)pi

Hope this helped!

Answer:

a) 84 cm3

b) 14,080 cm3

c) 1392.49 cm3

Step-by-step explanation:

Answer:

81cm. 54 times 1.5 = 81.

Answer:

No

Step-by-step explanation:

220/400=?/?

divide 220 and 400 by 4

220/400=55/100

55<60

hope this helps ;)

Answer:

D. 100 of the company's customers chosen from the monthly billing list

Step-by-step explanation:

Answer:

66.32

66 8/25

Step-by-step explanation:

The quotient and remainder of the divisions are as follows: 66.32 divided by 66 has a quotient of 1 and a remainder of 0.32. 66.8 divided by 66 has a quotient of 1 and a remainder of 0.8. 62.32 divided by 66 has a quotient of 0 and a remainder of 62.32.

When dividing numbers, the quotient is the result of the division and the remainder is what is left over. Let's check the quotient and remainder for each of the given numbers:

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Answer:  The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

To find: Slant height

Diameter of cone = 10 m

Therefore Radius of cone = [tex]\dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m[/tex]

As we know that surface area of a cone is given by

[tex]S.A. = \pi r(l+r)[/tex]

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

[tex]190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow 5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l= \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6[/tex]

Hence the slant height of the cone is 65.6 m

Hey there!

First of all, let's count the sides that we can count.

Our shortest side is 8 units if you count the squares it covers.

Now we can do our other side, which is 15 units when you count.

Now, we need to find our third side, which is the longest. The longest side is the hypotenuse. Because this triangle is a right triangle (it has a ninety degree angle), we can use the Pythagorean Theorem to solve for this side.

The Pythagorean Theorem states that when a triangle is a right triangle, [tex]a^{2} +b^{2} =c^{2}[/tex], where a and b represent the legs, and c represents the hypotenuse.

So, what we will do now is take the sides we have and solve for our c.

[tex]8^{2} +15^{2} =c^{2} \\64+225=289=c^{2} \\c=\sqrt{289} \\c=17[/tex]

As you can see, we used the square root to undo the squared c.

Now, we add our three lengths to get our perimeter.

8+15+17=40

Therefore, our perimeter is 40 units.

I hope that this helps you! Have a wonderful day!

Answer:

d) 16%

Step-by-step explanation:

The empirical rule states that for a normal distribution population with a mean (μ) and standard deviation (σ), the following conditions occur:

Given μ = 16 ounce and σ = 0.05 ounce.

68% falls within one standard deviation = μ ± σ = 16 ± 0.05 = (15.95, 16.05)

the number that falls outside one standard deviation = 100% - 68% = 32%

Therefore percentage of boxes have weights that are more than 1 standard  deviation above the mean = 32% / 2 = 16%

Approximately 32% of boxes have weights that are more than 1 standard deviation above the mean.

To find the percentage of boxes that have weights more than 1 standard deviation above the mean, we can use the Empirical Rule. According to the Empirical Rule, approximately 68% of the data falls within 1 standard deviation of the mean, 95% falls within 2 standard deviations, and 99.7% falls within 3 standard deviations.

Since we want to find the percentage of boxes that have weights more than 1 standard deviation above the mean, we can subtract 68% from 100% to get 32%. So, the answer is 32%.

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Answer: Option 2

Step-by-step explanation:

[tex]\frac{15x^4y^-^2}{3x^2y^3}[/tex]

Divide 15 by 3 and substract the variables's exponents.

[tex]5x^4^-^2y^-^2^-^3[/tex]

Solve;

[tex]5x^2y^-^5[/tex]

or

[tex]\frac{5x^2}{y^5}[/tex]

The second option is correct. The resulting expression when the indices is simplified according to the law of indices is [tex]\frac{5x^2}{y^5}\\[/tex]

Given the indices expression;

[tex]\dfrac{15x^4y^{-2}}{3x^2y^3}[/tex]

Using the following laws of indices to solve the problem:

[tex]a^n \times a^m = a^{n+m}\\a^n \div a^m = a^{n-m}\\[/tex]

From the given indices

[tex]\dfrac{15x^4y^{-2}}{3x^2y^3}\\=\frac{15}{3} \times \frac{x^4}{x^2} \times \frac{y^{-2}}{y^3}\\= 5 \times x^{4-2} \times y^{-2-3}\\=5\times x^2y^{-5} \\= 5x^2y^{-5[/tex]

This can also be expressed as:

[tex]=5x^2 \times \frac{1}{y^5}\\= \frac{5x^2}{y^5}\\[/tex]

Learn more here:

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Answer:

16 birdhouses

Step-by-step explanation:

2 birdhouses = 30 minutes

multiply by 2

4 birdhouses =60 minutes = 1 hour

Multiply by 4

16 birdhouses = 4 hours

Answer: 16.

Step-by-step explanation:

There is 60 minutes in 1 hour, multiply 60 by 4 then divide it by 30. Then multiply by 2.

Answer:

[tex]14^{-17}[/tex]

Step-by-step explanation

using the rules of exponents,  it would be [tex]14^{10}[/tex]÷[tex]14^{27}[/tex] so then take away 27 from 10 and get -17 meaning that the answer would be A or [tex]14^{-17}[/tex]

Answer: A

Step-by-step explanation:

14^10 is already set.

(14^9)^3  is not set  you need to multiply the exponents

14^18

14^10/14^27 = 14

14^-27 or 1/14^27

Answer:

A

Step-by-step explanation:

If all of the dimensions of the tank are doubled, since we live in three dimensions, the volume of the new tank will be [tex]2^3=8[/tex] times as large. [tex]8\cdot 2000=16000[/tex] feet, or answer choice A. Hope this helps!

Answer:

A 16,000 ft³

Step-by-step explanation:

Let's say the dimensions were 2, 10, and 100 now if you double those, it becomes 4, 20, 200 which equals 16,000.

Now let's say the dimensions were 2, 4, 250 double the dimensions again and it becomes 4, 8, 500 which equals 16,000.

So no matter what the dimensions are, the volume will be 16,000.

[tex]\frac{1}{2} + \frac{2}{8} = \frac{1 * 4}{2 * 4} + \frac{2}{8} = \frac{4}{8} + \frac{2}{8} = \frac{6}{8} = \frac{3}{4}[/tex]

Answer:

P(2, then 2)  = [tex]\frac{1}{36}[/tex]

P(3, then 5) = [tex]\frac{1}{36}[/tex]

P(4, then odd) = [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Given: A fair number cube is rolled

To find: P(2, then 2) , P(3, then 5) , P(4, then odd)

Solution:

Probability refers to chances of occurrence of some event.

Probability = Number of favourable outcomes/Total number of outcomes

Sample space = [tex]\left \{ 1,2,3,4,5,6 \right \}[/tex]

Total number of outcomes = 6

P(2, then 2)  = P(2)P(2) = [tex]\frac{1}{6}(\frac{1}{6})=\frac{1}{36}[/tex]

P(3, then 5) = P(3)P(5) = [tex]\frac{1}{6}(\frac{1}{6})=\frac{1}{36}[/tex]

Odd numbers out of the sample space = [tex]\left \{ 1,3,5 \right \}[/tex]

P(4, then odd) = P(4)P(odd) = [tex](\frac{1}{6})(\frac{3}{6} )=\frac{1}{12}[/tex]

To calculate the probability of rolling specific numbers on a fair, six-sided die, multiply the probabilities for each individual roll. P(2, then 2) and P(3, then 5) are both 1/36. P(4, then odd) is calculated as P(4) multiplied by the combined probability of rolling an odd number, resulting in 1/12.

Understanding Probability with a Fair Number Cube:

When rolling a fair, six-sided die, each outcome has an equal probability of occurring. Specifically, the probability (P) of any one number, such as a 2 or a 3, is 1/6 since it is a fair die. When considering sequential rolls, we have to calculate the probability of each event happening one after another, which involves multiplying the probabilities of the individual events.

Thus, to find the probability of rolling specific numbers or combinations on a number cube, you can calculate each probability separately and then combine them as needed using multiplication.

Answer:

-2º

Step-by-step explanation:

First you add 11 to -4 which is +7and the yousubtract 9 equal to -2

Step-by-step explanation:

Temperature at 3 am = -4°C

Temperature at midday = up 11°C

= -4°C + 11°C

= 7°C

Temperature at midnight = down 9°C

= 7°C - 9°C

= -2°C

So, the temperature at midnight is -2°C

Hope it helpful and useful :)

Answer:

Height of the oblique prism is 18 units.

Step-by-step explanation:

Volume of an oblique prism = [tex]\frac{1}{3}(\text{Area of the base})(\text{Perpendicular height})[/tex]

Area of the base of this prism = 24 square units

And volume of the prism = 144 cubic units

By substituting these values in the formula,

144 = [tex]\frac{1}{3}(24)(h)[/tex]

h = [tex]\frac{144\times 3}{24}[/tex]

h = [tex]\frac{432}{24}[/tex]

h = 18 units

Therefore, height of the oblique prism is 18 units.                                            

Answer:

The probability of a selected car being a 4 door car, given that the car has a sunroof = 0.40

Step-by-step explanation:

The complete question is presented in the attached image.

The conditional probability, of event A happening, given that event B has happened, P(A|B), is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

So, the required probability of a selected car being a 4 door car, given that the car has a sunroof is given as

P (4 doors | sunroof)

= P (4 doors n sunroof) ÷ P(sunroof)

Note that the probability of an event is given as the number of elements in that event divided by the Total number of events.

P (4 doors n sunroof)

= n (4 doors n sunroof) ÷ n (total)

From the Venn Diagram in the attached image,

n (4 doors n sunroof) = 20 + 0 = 20

n (total) = 100

P (4 doors n sunroof) = (20/100) = 0.20

P(sunroof) = n(sunroof) ÷ n(total)

n(sunroof) = 12 + 18 + 20 + 0 = 50

n(total) = 100

P(sunroof) = (50/100) = 0.50

P (4 doors | sunroof)

= P (4 doors n sunroof) ÷ P(sunroof)

= (0.20/0.50) = 0.40

Hope this Helps!!!

To find the probability of a car having 4 doors given that it has a sunroof, we use conditional probability. The probability can be found by dividing the number of cars with both a sunroof and 4 doors by the total number of cars with a sunroof. In this case, the probability is 6/11.

To find the probability of a car having 4 doors given that it has a sunroof, we need to use the conditional probability formula, which is:

P(4 doors | sunroof) = P(4 doors and sunroof) / P(sunroof)

In this case, we know that 11 cars have a sunroof, 6 cars have 4 doors, and a total of 100 cars are parked at the business. Therefore:

P(4 doors and sunroof) = 6/100

P(sunroof) = 11/100

Substituting these values into the conditional probability formula, we get:

P(4 doors | sunroof) = (6/100) / (11/100)

Simplifying the expression gives us:

P(4 doors | sunroof) = 6/11

Therefore, the probability that a randomly selected car with a sunroof has 4 doors is 6/11.

Emily bought 14 balloons in total, with 7 balloons being blue. The ratio of blue balloons to total balloons is 1:2.

In this numerical problem, Emily bought a total of 14 balloons. Among them, 3 are red and 4 are white. To find out how many balls are blue, subtract the number of red and white balloons from the total which is 14 - 3 - 4 = 7. Therefore, Emily has 7 blue balloons.

The ratio of blue balloons to the total number of balloons can be calculated by dividing the number of blue balloons by the total number of balloons: 7/14. This results in a ratio of 1:2. This means, for every one blue balloon, there are two total balloons.

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Final answer:

Explaining the ratio of blue balloons out of the total in the scenario where Emily buys balloons.

Explanation:

The ratio of blue balloons to the total number of balloons is 7:14 or 1:2.

To calculate this ratio, you add the number of blue balloons (7) to the total number of balloons (14), resulting in a ratio of 7:14, which simplifies to 1:2.

Answer:

21,28

Step-by-step explanation:

3-1=2       2+1=3

6-3=3        3+3=6

10-6=4       4+6=10

15-10=5       5+10=15

                   6+15=21

                   7+21=28

Answer:

One solution, which is below

Step-by-step explanation:

2x+3y=-6

6x-4y=-12

Multiply the top equation by 3 to get 6x+9y=-18.

Subtract second equation from first:

13y=-6

y=-6/13

x=-30/13

There is only one solution to this system. Hope this helps!

Answer:

x = 10

Step-by-step explanation:

if you go off of the other line that equals 10, its about the same length, so 10 is my estimate

hope this helps :)

Answer:

x = 20

Step-by-step explanation:

edge 2020 2021

Answer:

18 cm for larger base

Step-by-step explanation:

For similar figures, there is a formula regarding volume, area, and length

Large: small =  y: x   for length

large: small = (y^3) / (x^3)  for volume

729 cm cube/ 64 cm cube  = large : small

9: 4  = large: small  by length

large/ 8cm = 9/ 4

large = 8*(9/4) = 2*9 = 18 cm

Answer:

20

Step-by-step explanation:

To predict the resting heart rate of a person who exercises 8 hours per week, you can find the corresponding point on the scatter plot that represents 8 hours of exercise and read off the corresponding resting heart rate value.

A scatter plot is used to show the relationship between two sets of data. In this case, Ben collected data on the resting heart rate and average hours of exercise per week for 12 people. Based on the scatter plot, we can make a prediction of the resting heart rate for a person who exercises an average of 8 hours per week. To do this, we can find the point on the scatter plot that corresponds to an average of 8 hours of exercise per week and then determine the corresponding resting heart rate.

Let's find the point on the scatter plot that represents an average of 8 hours of exercise per week.

Once you have the corresponding point, you can read off the resting heart rate value in beats per minute.

When evaluating the expression with p=5 and q=6, assuming the expression is 'p times q squared minus q', the result is 174, which does not match any of the provided options.

The question provided requires evaluating an expression given the values for variables p and q. The expression provided seems to be 'pq 2 - q', but it is slightly unclear due to formatting. Assuming the expression is intended to be 'p times q squared minus q', and with p = 5 and q = 6, the evaluation would proceed as follows:

Therefore, the result is 174, which does not match any of the provided multiple-choice options (A, B, C, D). The options may have been provided incorrectly or the expression may have been transcribed incorrectly. Without further clarification, the evaluated answer is 174.

Answer:

2104.182 * pi

or

6610.13148

Step-by-step explanation:

formula for volume of a cylinder:

pi * r^2 * H

you know the radius and height, so you can substitute those:

pi * 8.7^2 * 27.8

calculate that:

pi * 75.69 * 27.8

2104.182 * pi

or

6610.13148

Apologies in advance if I explain things badly or get the wrong answer. :/

Final answer:

The volume of the display stand, which is a cylinder with a radius of 8.7 cm and a height of 27.8 cm, is approximately 6612.105 cubic centimeters.

Explanation:

To calculate the volume of the cylinder that is being used as a display stand, we will use the formula for the volume of a cylinder, which is V = πr²h. Here, 'V' stands for volume, 'r' is the radius of the cylinder's base, 'h' is its height, and π (pi) is a constant, which we can approximate to 3.14159.

Given:

Now, let's substitute these values into our formula:

V = π(8.7 cm)²(27.8 cm)

V = 3.14159 × (75.69 cm²) × 27.8 cm

V = 3.14159 × 2105.782 cm²

V = 6612.105 cm³ (rounded to three decimal places)

Therefore, the volume of the display stand is approximately 6612.105 cubic centimeters (cm³).