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2 years ago

A map has a scale of 4 inches :25 miles .How far are two cities on a map if they are 120 miles apart?

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

5 0

Answer:

19.2 in

Step-by-step explanation:

Set up a proportion to solve this...

4 inches is to 25 miles as x inches is to 120 miles

4/25 = x/120 now cross multiply to and solve for x

480 = 25x

480/25 = x

19.2 = x

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35. In a simple random sample of 25 high school students, the sample mean of the SAT scores was 1450, and the sample variance wa

Tatiana [17]

Answer:

$1450-2.0\frac{30}{\sqrt{25}}=1450-12$

$1450+2.0\frac{30}{\sqrt{25}}=1450+12$

And the best option would be:

c. 1450 +/- 12

Step-by-step explanation:

Information provided

$\bar X=1450$ represent the sample mean for the SAT scores

$\mu$ population mean (variable of interest)

$s^2 = 900$ represent the sample variance given

n=25 represent the sample size

Solution

The confidence interval for the true mean is given by :

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The sample deviation would be $s=\sqrt{900}= 30$

The degrees of freedom are given by:

$df=n-1=2-25=24$

The Confidence is 0.954 or 95.4%, the value of $\alpha=0.046$ and $\alpha/2 =0.023$ , assuming that we can use the normal distribution in order to find the quantile the critical value would be $z_{\alpha/2} \approx 2.0$

The confidence interval would be

$1450-2.0\frac{30}{\sqrt{25}}=1450-12$

$1450+2.0\frac{30}{\sqrt{25}}=1450+12$

And the best option would be:

c. 1450 +/- 12

3 0

3 years ago

If a cookie recipe that makes 2 dozen cookies calls for 2 1/4 cups of flour, how cups of flour do you need to make 5 dozen cooki

Schach [20]

Answer:

5. 5/8 flour needed to make 5 dozen cookies

Step-by-step explanation:

2 dozen= 24

5 dozen=60

It takes 1 1/8 flour for 1 dozen cookies so 1 1/8 x 5= 5.625 in fraction form that= 5 5/8

5 0

2 years ago

find a set of parametric equations of the line the line pases through the point (2,3,4) and is parallel to the xz-plane and the

joja [24]

Answer:

$x=2, y=3, z=4+t$

Step-by-step explanation:

For this case we need a line parallel to the plane x z and yz. And by definition of parallel we see that the intersection between the xz and yz plane is the z axis. And we can take the following unitary vector to construct the parametric equations:

$u= (u_x, u_y, u_z)= (0,0,1)$