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laila [671]
3 years ago
14

Susan enlarged a rectangle with a height of 6 cm and length of 13 cm on her computer. The length of the new rectangle is 19.5 cm

. Find the height of the new rectangle.
Mathematics
1 answer:
Karolina [17]3 years ago
4 0
We have that enlarging the rectangle in a computer setting keeps the ratio of the lines constant. Hence, height over length is the same. For the first rectangle this is 6/13. For the second one, if x is the new height, this is x/19.5.
Hence x/19.5=6/13. Multiplying both parts by 19.5 we have that x=19.5*6/13=9. Thus, the new height is 6 cm.
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(1000 X 5 X 2)/100
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A–2=3+6a/3<br> What dose a equal?
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Answer:

a = -5

Explanation:

7 0
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No scale is shown on this map of a wilderness area. The distance between Rose Lake and the main road is 3.5 mi. On the map it is
vivado [14]

Answer:

<em>The actual distance between Rose Lake and the hiking trail is 7 miles.</em>

Step-by-step explanation:

The actual distance between Rose Lake and the main road is 3.5 miles and the scaled distance on the map is 2 inch.

Suppose, the actual distance between Rose Lake and the hiking trail is  d miles.

Given that, the scaled distance from Rose Lake to the hiking trail on the map is 4 inch.

So, <u>according to the ratio of "scaled distance" to the "actual distance"</u>, the equation will be......

\frac{2}{3.5}= \frac{4}{d} \\ \\ 2d=4*3.5=14\\ \\ d=\frac{14}{2}=7

Thus, the actual distance between Rose Lake and the hiking trail is 7 miles.


4 0
3 years ago
Marcello sells coupon books to his neighbors. 4 neighbors each buy 2 coupon books. There are 8 coupons in each book. What is the
docker41 [41]

Answer:

64

Step-by-step explanation:

Marcello sells coupon books to his neighbors

4 neighbors each buy 2 coupon books

Each book have 8 coupons

Therefore the total number of coupons that all neighbors will get can be calculated as follows

Each neighbor will get 16 coupon

Hence the whole neighbors will get

16×4

= 64 coupons

8 0
3 years ago
A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample m
svet-max [94.6K]

Answer:

Given : The sample mean score is 51.48 .

            The standard deviation for the population of test scores is 15.

             The nationwide average score on this test is 50.

To Find :  Perform the hypothesis test and compute the P-value?

Solution:

Sample size = n = 64

Since n > 30

So, we will use z test over here

We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

Hypothesis : H_0:\mu \leq 50\\H_a:\mu>50

Formula of z test : z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

x = 51.48\\\mu = 50\\\sigma = 15\\ n = 64

Substitute the values

z =\frac{51.48-50}{\frac{15}{\sqrt{64}}}

z =0.789

Find the value of P(z) from z table

p(z)=0.7823

Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

So, p value = 1-P(z)  = 1-0.7823=0.2177

In general , Level of significance is 0.05

So, p value is greater than alpha.

So, we accept the null hypothesis.

5 0
3 years ago
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