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3 years ago

The scale of a map is 1 cm: 77 km.

1 answer:

4 0

$\bf \stackrel{map}{1~cm}\qquad :\qquad \stackrel{actual}{77~km}\qquad \cfrac{map}{actual}=\cfrac{1}{77}~\hfill \cfrac{\stackrel{map}{3}}{\underset{actual}{a}}=\cfrac{1}{77}\implies 231=a$

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Which best represents the equation of this circle ?

likoan [24]

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

Look at the picture:

center: (4, -2) → h = 4, k = -2

radius: r= 5

Substitute:

$(x-4)^2+(y-(-2))^2=5^2\\\\(x-4)^2+(y+2)^2=25\to\boxed{B.}$

3 0

3 years ago

A college financial adviser is interested in studying the number of students at his college who apply for loans when entering gr

Shalnov [3]

Answer:

0.7429

Step-by-step explanation:

Given that Of the 721 students at the college, 299 of them apply for loans when entering graduate school.

So p = proportion of students applying for loans = $\frac{299}{721} =0.415$

Each student is independent of the other and there are two outcomes

Hence out of 45 students the no of students who apply for loans say X is binomial with n =45 and p = 0.415

the probability that more than 16 of them apply for loans

= $P(X>16)\\= \Sigma_{x=17} ^{45} P(x)\\=\Sigma_{x=17} ^{45}(45Cx (0.415)^x (0.585)^{25-x} )$

=0.7429

4 0

3 years ago

8a – 6+2=-7+ 7a solve the

Kisachek [45]

A = -3

8a-6+2=-7+7a

Add 2 to -6

8a-4=-7+7a

Subtract 7a from 8a

Add 4 to -7

Then you get

A= -3

7 0

3 years ago

2. In Geometry

KiRa [710]

The answer to that question is a coordinate.

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3 years ago

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stealth61 [152]

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2 years ago