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3 years ago

14

The width of a rectangle is y feet long. The rectangle is 4 feet longer than it is wide. What is the area of the rectangle? Whic

h expression represents the area?

2 answers:

nikitadnepr [17]3 years ago

8 0

Answer:

y²+4y

Step-by-step explanation:

y multiplies with (y+4)

y times y is y²

y times 4 is 4y

That leaves you with y²+4y

dalvyx [7]3 years ago

5 0

Answer: $y^2+4y$ expresses the area.

Step-by-step explanation:

Let the width of a rectangle be 'y' feet.

Let the length of a rectangle be 'y+4' feet.

As we know the area of rectangle :

Area of rectangle is given by

$Length\times breadth\\\\=y\times (y+4)\\\\=y^2+4y$

Hence, $y^2+4y$ expresses the area.

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the sears tower in chicago is 1450 feet hugh. a model if the tower is 24 inches tall. what is the ratio of the height of the mod

VladimirAG [237]

1 foot = 12 inches

Therefore:

2 feet = 24 inches

------------------

2 feet x 725 = 1450 feet

------------------

The real tower is 725 times taller than the actual model.

Ratio:

725 : 1

4 0

2 years ago

Read 2 more answers

7 whole number 2/3 -4 5/6 + 2 3/8

denis-greek [22]

Im not sure ask ur teacher

4 0

2 years ago

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sa

Deffense [45]

Answer:

$z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279$

$p_v =P(z$

And we can use the following code to find it "=NORM.DIST(-1.279,0,1,TRUE)"

Step-by-step explanation:

Assuming this complete problem: "The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization's staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test

H0: p .45 vs H1: p < .45.

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women.

Compute the p-value associated with this test. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry."

1) Data given and notation

n=50 represent the random sample taken

X=18 represent the number of women in the sample selected

$\hat p=\frac{18}{50}=0.36$ estimated proportion of women in the sample

$p_o=0.45$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion of women is less than 0.45:

Null hypothesis: $p\geq 0.45$

Alternative hypothesis: $p < 0.45$

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 $p_o$ .

3) Calculate the statistic

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

$z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279$

4) 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 next step would be calculate the p value for this test.

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

$p_v =P(z$

And we can use the following code to find it "=NORM.DIST(-1.279,0,1,TRUE)"

4 0

3 years ago

What is the rational number equivalent to 3.12 repeating? 3 4/33, 3 8/33 ,3 10/33 ,3 5/33?

Schach [20]

3.12 = 3 4/33 (<span>3.12 repeating)</span>
hope it helps

5 0

3 years ago

G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.

vova2212 [387]

Answer:

▢ $\overline{DG}$ ≅ $\overline{FG}$

▢ $\overline{DG}$ ≅ $\overline{BG}$

▢ $\overline{GE}$ bisects $\displaystyle ∠DEF$

▢ $\overline{GA}$ bisects $\displaystyle ∠BAF$

Step-by-step explanation:

As you can see, angles $\displaystyle BAF$ and $\displaystyle DEF$ form two half-kites, which you should know have <em>two</em><em> </em><em>pairs of</em><em> </em><em>congruent</em><em> </em><em>sides</em>, therefore segments $\displaystyle GA$ and $\displaystyle GE$ are what you call angle bisectours, which is why segments $\displaystyle FG,$ $\displaystyle DG,$ and $\displaystyle BG$ are congruent.

I am joyous to assist you at any time.

4 0

3 years ago