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Vlad1618 [11]
3 years ago
15

I need the answer ASAP

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

6.04 kilometers

Step-by-step explanation:

First, by AA triangle similarity theorem, we know that the two triangles are equal.

So, we can set up a ratio

3,500/2000=4200/x

cross multiplying, we get

3500x=4200*2000

and simplifying, we get x=2400

the distance will be 2,400+4,200=6600 yards

converting to kilometers,

6600*0.0009144=6.04

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Based on the sample of n = 25 healthy-weight students, can you conclude that healthy-weight students eat significantly fewer fat
Elis [28]

Answer:

z = -1.645

Step-by-step explanation:

b) n =25, M = 4.01 , \mu = 4.22 , \sigma = 0.60 , \alpha= 0.05

The hypothesis are given by,

H0 : \mu\geq 4.22 v/s H1 : \mu < 4.22

The test statistic is given by,

Check attachment for the formula that should br here.

z = \frac{4.01- 4.22 }{0.60 /\sqrt{25}}

= -1.75

The critical value of z = -1.645

The calculated value z > The critical value of z

Hence we reject null hypothesis.

The healthy-weight students eat significantly fewer fatty, sugary snacks than the overall population.

8 0
3 years ago
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umka21 [38]

Answer:

6

Step-by-step explanation:

Silvia: 2 pages to 5 minutes

      into...

Silvia: 1 page to __ minutes

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Unit Rate for Silvia is  2.5

<u>Written out</u> : 2 pages x 2.5 = 5 minutes

<u>Example</u> : 1 page to 2.5  minutes

<u>What we found</u> : ___ pages to 60 minutes(60 divided by 2.5) is  

<h2>24 pages to 60 minutes</h2>

Silvia's sister: 3 pages to 6 minutes

     into...

Silvia's sister: 1 pages to ___ minutes

<u>Find Unit Rate</u> : 6/3= 2

Unit Rate for Silvia is  2

<u>Written out</u> : 3 pages x 2 = 6 minutes

<u>Example</u> : 1 page to 2  minute

<u>What we found</u> : ___ pages to 60 minutes(60 divide by 2) is

<h2>30 pages to 60 minutes  </h2>

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7 0
3 years ago
Help please -19 + 2z = -21
777dan777 [17]

Answer:

z = -1

Step-by-step explanation:

You must first start out by adding 19 to both sides to isolate the variable z, which results in:

2z = -2

Now, you can just divide by two on both sides to get z completely on its own, which gives you:

z = -1

Hope this helped somewhat! :D

6 0
3 years ago
The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each studen
pychu [463]

Answer:

  • 2, 4, 10 or 20 students

Step-by-step explanation:

<u>Prime factors:</u>

  • 20 = 2*2*5
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<u>Common factors of the two numbers: </u>

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Possible number of students as above

4 0
3 years ago
Choose the model that represents the function
kirill [66]

Answer:

OPTION D

Step-by-step explanation:

We have to determine which option determines the function given above.

To determine the function, just substitute the values and compare LHS and RHS.

we have $ f(4) = 18 $

$ f(-2) = -12 $

$ f(0) = -2 $

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Here, $ x $ is the domain and $ f(x) $ is the co-doamin.

Therefore, $ x = \{4, -2, 0, -3\} $

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Substitute x = 4. We get f(x) = 3 $ \ne $ 18.

So, OPTION A is rejected.

Similarly, OPTION B: $ f(x) = 5x + 2 $

Substitute x = 4. We get f(4) = 22 $ \ne $18.

It is rejected as well.

Now, for OPTION C: $ f(x) = \frac{x}{2} - 5 $

Substitute x = 4. We get f(4) = -3 $ \ne $ 18.

So, OPTION C is also rejected.

OPTION D: $ f(x) =  5x - 2 $

Substitute x = 4. We get f(4) = 18.

Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.

8 0
4 years ago
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