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vovikov84 [41]
3 years ago
10

What force is needed to accelerate a 10 kg shopping cart 3 m/s2? (Do not include the units in

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer: I believe the answer to this question is 30

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Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of
zhannawk [14.2K]

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

H_{0}: p = 0.29

We want to test the hypothesis that this is true, so the alternate hypothesis is:

H_{a}: p \neq 0.29

The test statistic is:

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

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that \mu = 0.29, \sigma = \sqrt{0.29*0.71}

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that n = 100, X = 0.21

Value of the test statistic:

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

z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}

z = -1.76

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

5 0
3 years ago
Pls help question on the photo 50 points
Katarina [22]

Answer:

10

Step-by-step explanation:

Each box is worth 2 units, because the x and y axis are counting by 2s

4 0
3 years ago
Read 2 more answers
How does the graph of y = sec(x + 3) – 7 compare with the graph of y = sec(x)?
Alla [95]

Answer:

The function y = sec(x) shifted 3 units left and 7 units down .

Step-by-step explanation:

Given the function: y = sec(x)

  • If k is any positive real number, then the graph of f(x) - k is  the graph of y = f(x) shifted downward k units.
  • If p is a positive real  number, then the  graph of f(x+p) is  the graph of y=f(x)  shifted to the left  p units.

The function y = \sec(x+3)-7 comes from the base function y= sec(x).  

Since 3 is added added on the inside, this  is a horizontal shift Left 3 unit, and since 7 is subtracted on the outside, this is a vertical shift  down 7 units.

Therefore, the transformation on the given function is shifted  3 units left and 7 units down


3 0
3 years ago
Read 2 more answers
A train leaves at 12.13 and arrives at its destination at 13.03. If the train travelled 83 km, what was it's average speed in km
Mama L [17]

Answer:

1.7km/h

Step-by-step explanation:

speed is distance over time,the time difference is 50 min and the distance is 83,you divide 83 by 50 to give you the answer

3 0
3 years ago
Please help me find the answer
zheka24 [161]
The statement is always true because right angles measure 90 degrees and if you add them you get 180 and supplementary angles are angles that add up to 180.

Hope this helps :)
5 0
3 years ago
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