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Alex17521 [72]
2 years ago
11

Points gyehdjskhrbedsx

Mathematics
1 answer:
alexgriva [62]2 years ago
3 0

Answer:

thanks

Step-by-step explanation:

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What is the value of a?
Anna007 [38]

Answer:

15 units

Step-by-step explanation:

By using the Pythagoras Theorem,

C^2 = A^2 + B^2

Substitute in the given values,

25^2 = a^2 + 20^2

625 = a^2 + 400

625 - 400 = a^2 + 400 - 400

a^2 = 225

a =  \sqrt{225}

= 15

Hope this too helped! ^^

I'd recommend watching a video or two on the topic of Pythagoras Theorem, if this explanation isn't clear enough.

5 0
1 year ago
Given the system of equations, what is the solution?<br><br> x + 2y = 7<br> x - 2y = -1
Reika [66]
Add the 2 equations to eliminate the 2y. We get

2x = 6

x = 3

Plug x = 3 into the first equation:-

3 + 2y = 7
2y = 7 - 3 = 4

y = 2


Answer is x = 3 and y = 2
4 0
3 years ago
Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x – 4. Her graph is shown below.
ipn [44]
The line and parabola intersect at x=-1 and x=4, so your solution is C. –1 and 4
3 0
3 years ago
Read 2 more answers
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
(show your work!) i only got an hour left for this :c
MA_775_DIABLO [31]

Answer:

7 _> x

Step-by-step explanation:

28 - x _> 7(x-4)

28 - x _> 7x-28

28+28 _> 7x+x

56 _> 8x

7 _> x

5 0
3 years ago
Read 2 more answers
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