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mr_godi [17]
3 years ago
6

HELP PLEASE!!

Mathematics
1 answer:
sattari [20]3 years ago
4 0

Answer: 1/3

Step-by-step explanation:

We know that after dilation with scale factor k the coordinates of pre-image (x,y) map to (kx,ky) of the image.

From the given graph, the coordinate of A =(9,4) and the coordinate of A' (3,2)

Then x = 9 and kx = 3

\Rightarrow k(9)=3\\\\\Rightarrow\ k=\frac{3}{9}\\\\\Rightarrow\ k=\frac{1}{3}

Therefore, the scale factor of the dilation is 1/3.

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Romashka-Z-Leto [24]

Answer:

63

Step-by-step explanation:

a entire circle is 360⁰

so you do:

360-297

6 0
2 years ago
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In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two ind
liberstina [14]

Answer:

Step-by-step explanation:

Hello!

You have two populations of interest and want to compare them. If you define the study variables as:

X₁: average hourly wages of an employee of the Downtown store.

n₁= 25

X[bar]₁= $9

S₁= $2

X₂: average hourly wages of an employee of the North Mall store.

n₂= 20

X[bar]₂= $8

S₂= $1

Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:

95% CI for μ₁ - μ₂

(X[bar]₁-X[bar]₂) ± t_{n_1+n_2-2; 1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )

Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}

Sa^2= \frac{24*4+19*1}{25+20-2}= 2.67

Sa= 1.64

t_{n_1-n_2-2;1-\alpha /2} = t_{43; 0.975} = 2.017

(9-8)±2.017*(1.64*\sqrt{\frac{1}{25} +\frac{1}{20} } )

[0.007636;1.9923]

I hope it helps!

6 0
3 years ago
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3 years ago
Branliest offered<br> solve the proportion<br> 12/x=6/7<br> 6x/4=8/12<br> 7/x+13=4/12<br> y+5/y=10/8
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