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zheka24 [161]
2 years ago
14

Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she f

ound that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?
Mathematics
1 answer:
maks197457 [2]2 years ago
4 0

By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.

<h3>How to get the area of the rectangle?</h3>

For a rectangle of length L and width W, the area is:

A = L*W

And the perimeter is:

P = 2*(L + W).

In this case, we know that the length is 5ft longer than the width, so we can write:

L = W + 5ft

We also know that the perimeter is 50ft, so we can write:

P = 50ft = 2*(W + 5ft + W)

     50ft = 4*W + 10ft

     40ft/4 = W = 10ft

So the width is 10 ft, and then the length will be:

L = 10ft + 5ft = 15ft

So the area of the rectangle is:

A = 10ft*15ft = 150 ft^2

She will need 150 ft^2 of flooring.

If you want to learn more about areas, you can read:

brainly.com/question/24487155

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5 and 4 sevenths times negative 2 and 2 fifths
Dimas [21]

Answer:

3/2

Step-by-step explanation:

ugygv

6 0
3 years ago
Help please...I don't get this (40 points and I'll give brainliest)
dexar [7]

A x = 0

using the law of exponents a^{0} = 1

for (6² )^ x = 1 then x = 0

B note that 6^{0} = 1 ⇒ x = 1

2 → 2^8 × 3^(-5) × 1^(-2) × 3^(-8) × 2^(-12) × 2^(28)

= 2^(8 -12 + 28) × 1 × 3^(- 5 - 8)

= 2^24 × 3^(- 13) = 2^(24)/3^(13) = 10.523 ( 3 dec. places)




6 0
3 years ago
Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute in
Alborosie

Answer:

a) Null hypothesis:p\geq 0.53  

Alternative hypothesis:p < 0.53  

b) z=\frac{0.46 -0.53}{\sqrt{\frac{0.53(1-0.53)}{300}}}=-2.429  

p_v =P(Z

c) So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .  

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

\hat p=0.46 estimated proportion of American families owning stocks or stock funds

p_o=0.53 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

Part a

We need to conduct a hypothesis in order to test the claim that proportion is less than 0.53 or 53%.:  

Null hypothesis:p\geq 0.53  

Alternative hypothesis:p < 0.53  

Part b

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.46 -0.53}{\sqrt{\frac{0.53(1-0.53)}{300}}}=-2.429  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(Z

Part c  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .  

7 0
3 years ago
Which is the graph of f(x) = (x - 1)(x + 4)?
Anni [7]

Answer:

Its the last option. On the bottom.

Step-by-step explanation:

You need to Solve for x to find the zeroes of the equation.

x-1=0 So one x is at 1.

x+4=0 So the other x is at -4.

This graph is also not negative so it does not get flipped across the x-axis

8 0
3 years ago
Read 2 more answers
What is nine minus one third?
Katarina [22]

Answer:

\frac{26}{3}=8.6...=8\frac{2}{3}

Step-by-step explanation:

You multiply 9 x 3=27

(leave 1/3 alone, it's already good)

you have a 27/3-1/3

(subtract those)

your answer is 26/3

(see answer above for decimal form and mixed fraction form)

8 0
2 years ago
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