All categories

3 years ago

Find the next two numbers and state a rule describing each pattern

1 answer:

4 0

Answer: Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.”

Step-by-step explanation:

So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

You might be interested in

In the figure below, AC is tangent to circle B. BA is a radius of circle B and A is a point of tangency. If AB is equal to 15 an

stich3 [128]

Using the pythagorean theorem
Base×Base + Perpendicular×Perpendicular = Hypotenuse× Hypotenuse
or B^2+P^2=H^2
B=root H^2 -P^2
Here hypotenuse =50 and Perpendicular = 15
therefore
root(50×50-15×15)
=root(2500-225)
=root(2275)
=47.69
=47.7 (approximately)
Option D is your answer.

3 0

3 years ago

Given that 2x-5y=17 find x when y =1

Virty [35]

Answer:

2x1-5y=17

2-5y=17

-5y=17-2

-5y=15

y=-3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In a zoo, there are five times as many monkeys as there are elephants. How many monkeys are there?

IRINA_888 [86]

M=E×5 This answer is very simple

3 0

4 years ago

You conduct a simulation regarding which team spectators at a football game support. Your null hypothesis is that there are equa

Llana [10]

Answer:

As the p-value is too small the null hypothesis will be rejected concluding that there is a higher proportion of people supporting the home team.

Step-by-step explanation:

The hypothesis to determine which team spectators at a football game support is:

H₀: There are equal proportions of people supporting the home team and the visiting team, i.e. p₁ = p₂.

Hₐ: There is a higher proportion of people supporting the home team than the visiting team, i.e. p₁ > p₂.

A z-test for difference between proportions can be used to perform the test.

The test statistic is:

$z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{P(1-P)\frac{1}{n_{1}}+\frac{1}{n_{2}}}}}$

Th decision rule is:

If the p-value of the test is less than the significance level α then the null hypothesis will be rejected and vice-versa.

The commonly used significance levels are 0.01, 0.05 and 0.10.

The p-value of the test is computed as, p = 0.002.

The p-value of the test is less than all the significance level.

Thus, the null hypothesis will be rejected at any of the three significance level.

Conclusion:

As the p-value is too small the null hypothesis will be rejected concluding that there is a higher proportion of people supporting the home team.

7 0

4 years ago

A jewelry artist is selling necklaces at an art fair. It costs $200 to rent a booth at the fair. The cost of materials for each

olchik [2.2K]

Answer:

<h2>32.25 necklaces</h2>

Step-by-step explanation:

Given that the expected profit upon deduction of booth rent and material cost is at least $300

Given

let the number of necklaces be x

booth rent= $200

The cost of materials for the necklaces = $4.5x

the selling price for all the necklaces =$20x

total expenses= booth rent+cost of material = 200+4.5x

profit = selling price -total expenses

20x-300>200+4.5x+

B. the possible solution is the value of x i.e the number of necklaces to

be sold to make a profit of $300

20x-300>200+4.5x

20x-4.5x=200+300

15.5x=500

x=500/15.5

x=32.25

The Jewelry artist must have to sell a total of approximately 32.25 necklaces

7 0

3 years ago