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Flura [38]
3 years ago
14

Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the ce

nter of town.
What is the direct distance from Sonja's house to her school?

(Hint: The center of town should be the origin, and north is up.)

Mathematics
2 answers:
adoni [48]3 years ago
8 0

Answer:

The answer is √58 = 7.62

Step-by-step explanation:

So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).

Use the Pythagorean theorem:

c² = a² + b²

a = 3

b = 7

c² = 3² + 7²

c² = 9 + 49

c² = 58

c = √58

c = 7.62

il63 [147K]3 years ago
7 0

Answer:

It's this graph

Step-by-step explanation:

I ran into this one on an assignment

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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
BartSMP [9]

Answer:

The decision rule is  

Reject the null hypothesis  

Step-by-step explanation:

From the question we are told that

    The population mean is \mu =  5.6  \ pounds/inch^2

     The  sample size is  n =  160

      The sample mean is  \=  x =  5.7  \  pounds/ inch^2

     The variance is \sigma ^2 =  0.25

       The level of significance is  \alpha   =  0.01

The null hypothesis is  H_o  :  \mu  =  5.6

The alternative hypothesis is H_a :  \mu > 5.6

Generally the standard deviation is mathematically represented as

           \sigma =  \sqrt{\sigma ^2 }

=>         \sigma =  \sqrt{0.25  }  

=>         \sigma =  0.5  

Generally the test statistics is mathematically represented as

        z =  \frac{\= x  - \mu }{ \frac{\sigma}{\sqrt{n}  } }

=>     z =  \frac{5.7  - 5.6  }{ \frac{0.5 }{\sqrt{ 160 }  } }  

=>     z =  2.53

From the z table  the area under the normal curve to the left corresponding to  2.53   is

        p-value =  P(Z >  2.53 ) =0.0057

From the value obtained we see that the p-value  < \alpha hence

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the believe  that the valve performs above the specifications is true

 

5 0
3 years ago
A farmer knows that a crop she is growing requires 24 kg of fertilizer throughout the season. She has a measuring flask which wh
Papessa [141]

Answer:

48 times

Step-by-step explanation:

From the above question, we know that:

2 times = 1 kg of fertilizer

A crop requires 24 kg of fertilizer

Hence:

1 kg of fertilizer = 2 times

24 kg of fertilizer = x

Cross Multiply

x = 24 kg × 2 times/1 kg

x = 48 times

She need to fill the flask 48 times to make the required amount of fertilizer for the crop

8 0
3 years ago
Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x
zimovet [89]

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

8 0
3 years ago
In a class election Mark received 3/5 of the votes in his class of 30 students
Andrei [34K]
So, we need to find how many students voted for Mark, I assume.

So, we need to divide 30 by 5

30 ÷ 5 = 6

So, 3 × 6 =18.

So, Mark received 18 votes

I think this is the answer.

Glad I could help, and good luck!

AnonymousGiantsFan

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6 0
2 years ago
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Of the following sets, which numbers in {1, 2, 3, 4, 5} make the inequality 5x + 2 &gt; 12 true?
kicyunya [14]

Answer:

3,4,5

Step-by-step explanation:

try every one

4 0
3 years ago
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