What is 0.9 percent of 54

Angles A = 60, B = 2x, C = 3x and D = 25 are 4 angles on a straight, what 3 points is the value of angle B?*

iragen [17]

Answer:

B = 38°

Step-by-step explanation:

A straight angle is 180°. If your four angles total a straight angle, then ...

60 +2x +3x +25 = 180

95 = 5x . . . . . . subtract 85

x = 19 . . . . . . divide by 5

2x = 38 . . . . . angle B is 38°

4 0

1 year ago

At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening

pav-90 [236]

Answer:

$z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4$

$p_v =2*P(z>4)=0.0000633$

When we compare the significance level $\alpha=0.1$ we see that $p_v$ so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation

$\bar X=23$ represent the sample mean

$\sigma=3.5$ represent the population standard deviation

$n=49$ sample size

$\mu_o =21$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:

Null hypothesis: $\mu = 21$

Alternative hypothesis: $\mu \neq 21$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z>4)=0.0000633$

Conclusion

When we compare the significance level $\alpha=0.1$ we see that $p_v$ so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.

8 0

3 years ago

42 is 30% of what number??? Add work plz

romanna [79]

X - the number

$30\% x =42 \\
\frac{30}{100}x=42 \\
\frac{3}{10}x=42 \\
x=42 \times \frac{10}{3} \\
x=\frac{420}{3} \\
x=140$

42 is 30% of 140.

7 0

3 years ago

In circle F, arc AD = 80 and arc BC = 120.

Tom [10]

The answer is B, 100

8 0

3 years ago

4. If some of Tucson's residents have blue eyes and some of Tucson's residents are children, is the statement "Some of Tucson's

Tanzania [10]

Answer: unsubstantiated.

This is, the statement "Some of Tucson's residents are blue eyed children" cannot be inferred from the two original statements.

Because the subset of "Tucson's residents that have blue eyes" and the subset of "Tucson's residents that are children" might or might not have common elements.

7 0

3 years ago