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Mrrafil [7]
3 years ago
12

To drive to work, Dave has to drive 20 miles east and then 15 miles north. If there were a direct road going northeast, how many

miles would he have to drive?

Mathematics
1 answer:
suter [353]3 years ago
7 0
By the Pythagorean theorem:

x= \sqrt{20^2+15^2}= \sqrt{400+225}= \sqrt{625}=25 \ miles

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A rectangle Has an area of 252 yd.². The length of the rectangle is 10 yards longer than twice it’s worth. Find the width and le
Rama09 [41]

Answer:

Width = 9 yds

Length = 28 yds

Step-by-step explanation:

Width = x

Length = 2x + 10

Area is 252 yd²

x(2x + 10)  = 252

2x² + 10x - 252 = 0

2 (x + 14) (x - 9) = 0

(x + 14) (x - 9) = 0

x = - 14 or x = 9

Width = 9 yds

Length = 2x9 + 10 = 28 yds

7 0
2 years ago
Read 2 more answers
Yo help me out please.​
katrin2010 [14]

Answer:

12

Step-by-step explanation:

-12 = -3/4x + 3

-9 = -3/4x

-9 = (-3/4) times x

-9 = (-3/4) times 12

hope this helps! :)

6 0
3 years ago
Wright an inequality for the graph
Lerok [7]

Answer:

Y >= ABS(x-5) + 1

Step-by-step explanation:

Any graph that forms a "V" involves absolute value. So what equation would give the vertex y=1 at x=5, ABS(X-5) + 1.

5 0
3 years ago
Please help use pic.
sertanlavr [38]
Let the reduced price be x

If he paid for 6 rounds, he paid 1 round at full price of $19 and 5 rounds at reduced price:
19 + 5x = 59
5x = 59 - 19
5x = 40
x = 40 ÷ 5 
x = 8

The reduced price is at $8 per round.

4 0
3 years ago
Biologists were studying the proportions of cats that had spotted markings on their fur in two populations of cats, C and F. An
alexandr1967 [171]

Answer:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

Step-by-step explanation:

p-value is the probability of observing a result which is at least as extreme as we calculated in our actual workings, assuming the Null hypothesis to be true.

The calculate p-value is 0.01. In the question statement we are given that the alternate hypothesis is:

"Population Proportions are not equal"

Since, Null and Alternate Hypothesis are negations of each other, the Null Hypothesis would be:

"Population Proportions are equal"

We assume the null hypothesis to be true, perform the tests on the sample and obtain a result.

The results we obtained is:

The sample difference is 0.62

Fitting all this data, in the definition of p value tell us that:

The probability of obtaining a sample difference of atleast 0.62 is 0.01, if the population proportions are same.

This matches with the option B. Therefore, the correct answer is:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

3 0
3 years ago
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