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3 years ago

Which of the following would justify step 6?

Mathematics

1 answer:

KengaRu [80]3 years ago

3 0

Answer: C) SAS

Explanation:

We have AD = DB which forms the first "S" in "SAS"

The second "S" is CD = CD

The angles between the two pairs of sides mentioned are the right 90 degree angles, which is what the "A" in "SAS" represents.

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Find the future value if £7400 is<br> invested for 6 years at 12.8% p.a.<br> Total

Juli2301 [7.4K]

Answer:

the future value is £15,243.56

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= £7400 × (1 + 0.128)^6

= £15,243.56

Hence, the future value is £15,243.56

7 0

3 years ago

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

Which value is a solution of the inequalityx∕5 + 2 ≤ 6?

avanturin [10]

Answer:

Step-by-step explanation

the answer comes to $x\leq 20$ and 15 is the only answer below 20