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aksik [14]
3 years ago
7

What operation is being done to the variable in the equation -5m = -40?

Mathematics
1 answer:
Jlenok [28]3 years ago
8 0

Answer:

it's being divided by -5

Step-by-step explanation:

-5m= -40

m=8

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Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
Allisa [31]

Answer:

The  condition  are

           The  Null hypothesis is  H_o  :  \mu = 5

           The  Alternative hypothesis is  H_a  :  \mu <  5

The  check revealed that

             There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons

Step-by-step explanation:

From the question we are told that

     The  population mean is  \mu =  5 \ year

      The sample size is  n =  20

      The sample mean is  \=  x  =  4.6 \  years

       The  standard deviation is \sigma  =  2.2  \ years

   The  Null hypothesis is  H_o  :  \mu = 5

   The  Alternative hypothesis is  H_a  :  \mu <  5

So i will be making use of  \alpha =  0.05 level of significance to test this claim

    The critical value of  \alpha from the normal distribution table is  Z_\alpha  =  1.645

 

Generally the test statistics is mathematically evaluated as

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

substituting values

                 t =  \frac{ 4.6  - 5}{ \frac{2.2}{\sqrt{20} } }

                t =  -0.8131

Looking at the value of  t and Z_{\alpha } we see that  t <  Z_{\alpha } so we fail to reject the null hypothesis  

  This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

4 0
2 years ago
Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please H
gogolik [260]

Answer:

  (a)  no solution

Step-by-step explanation:

Writing the second equation in slope-intercept form, it becomes ...

  3x -y = 2 . . . . given

  y = 3x -2 . . . . add y-2 to both sides

The first equation is already in slope-intercept form:

  y = 3x +3 . . . . first equation

The coefficients of x in the two equations are both 3, so the lines they describe are parallel. They do not intersect, so there is <em>no solution</em>.

4 0
2 years ago
Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola
murzikaleks [220]

Not really sure what you are looking for, but this is how to solve equations such as these.

Let:

x = number of pounds of granola

y = numer of pounds of walnuts

The equation he can use to compute the total cost would be:

$2.00x + $6.00y = $12.00

We know that he bought 3 pounds of granola, so we plug in that for the x value:

$2.00(3) + $6.00y = $12.00

$6.00 + $6.00y = $12.00

To isolate the unknown value which is y, we first need to subtract $6.00 from both sides of the equation:

$6.00 + $6.00y - $6.00 = $12.00 - $6.00

$6.00y = $6.00

Then we divide both sides by $6.00:

$6.00y/$6.00 = $6.00/$6.00

y = 1

So the number of bags of walnuts he can buy is 1 bag.

5 0
3 years ago
Read 2 more answers
Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps p
Allisa [31]

Answer:

About 75% of the time, the mixture of cow manure and mashed bananas IS LIKELY to produce MORE biogas than pure cow manure on THIS local farm.

Step-by-step explanation:

(don't worry I guessed and got it correct)

8 0
3 years ago
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A jar contains 4 red marbles, numbered 1 to 4, and 11 blue marbles numbered 1 to 11. A marble is chosen at random. If you're tol
svlad2 [7]

Answer:

25%

Step-by-step explanation:

So there are four marbles that are red.

It doesnt matter if we have a probability of picking blue because the question says you are picking red.

There are four possible outcomes and one favorable outcome so it is 1/4 of 25/100 or 25%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
3 years ago
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