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Natasha_Volkova [10]
3 years ago
11

Mr.Yatabarry’s new carpet covers 128 square feet. It’s twice as long as it is wide. What are the dimensions of the carpet?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0
Length: 20ft
Width: 10ft
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ziro4ka [17]
It's C because for the perpendicular line, you need to construct cross points to draw it through.

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8 0
4 years ago
In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
astra-53 [7]

Answer:

C. z = 2.05

Step-by-step explanation:

We have to calculate the test statistic for a test for the diference between proportions.

The sample 1 (year 1995), of size n1=4276 has a proportion of p1=0.384.

p_1=X_1/n_1=1642/4276=0.384

The sample 2 (year 2010), of size n2=3908 has a proportion of p2=0.3621.

p_2=X_2/n_2=1415/3908=0.3621

The difference between proportions is (p1-p2)=0.0219.

p_d=p_1-p_2=0.384-0.3621=0.0219

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{1642+1415}{4276+3908}=\dfrac{3057}{8184}=0.3735

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.3735*0.6265}{4276}+\dfrac{0.3735*0.6265}{3908}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00006}=\sqrt{0.00011}=0.0107

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0219-0}{0.0107}=\dfrac{0.0219}{0.0107}=2.05

z=2.05

4 0
3 years ago
Please help please please help 16 points
asambeis [7]

Answer:

1.6 = x axis || 2.5 = y axis

Step-by-step explanation:

each line is 0.5

4 0
2 years ago
What is the length of segment AE?
nexus9112 [7]

Answer:

AE=\frac{50}{3}\ units

Step-by-step explanation:

step 1

In the right triangle ABC

Applying the Pythagoras Theorem fin the hypotenuse AC

AC^{2} =AB^{2}+BC^{2}

substitute

AC^{2} =6^{2}+8^{2}

AC^{2} =100

AC =10\ units

step 2

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

\frac{AB}{CD}=\frac{AC}{CE}

substitute and solve for CE

\frac{6}{4}=\frac{10}{CE}\\ \\CE=4*10/6\\ \\CE=\frac{20}{3}\ units

step 3

Find the length of segment AE

AE=AC+CE

substitute the values

AE=10\ units+\frac{20}{3}\ units=\frac{50}{3}\ units

6 0
4 years ago
Rashid is paid by the hour. He earned $50 for a 4-hour workday. How much does he earn for a 5 1/2- hours work day
Tom [10]
<span>Use a proportion:
x/(5 1/2) = 50/4
--------
x = (11/2)(50/4)

--------
x = 550/8
----
x = $68.75</span>
5 0
3 years ago
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