The spinner below is spun twice. What is the probability that the it will land on a white section and then a striped section?

prisoha [69]

Answer:

$\displaystyle 31$

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

$\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s$

I am joyous to assist you at any time.

4 0

3 years ago

In Sarah‘s dance class 1/16 of the girls are also on the soccer team. what is the decimal form of this fraction

Alenkasestr [34]

Answer:0.0625

Step-by-step explanation:

5 0

4 years ago

Suppose a college bookstore buys a textbook from a publishing company and then marks up the price they paid for the book 33% and

Pani-rosa [81]

Let the original price of the book be x. If, after a 33% markup on the initial price, the student had to pay 115.00 for it, then we can calculate x as:
(1 + 33%)(x) = 115
1.33x = 115
x = 115/1.33 = 86.47
This means that the bookstore paid $86.47 for the book.

5 0

3 years ago

For the hypotheses below test alpha = 0.025 with n = 100 and bar p = 0.67. State

I am Lyosha [343]

Answer:

Part a : Critical value

For this case we want a value of $\alpha = 0.025$ we need to find on the normal standard distribution a z score that accumulates 0.025 of th area on the left and this value is $z_{crit}= -1.96$

Part b: Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.67 -0.76}{\sqrt{\frac{0.76(1-0.76)}{100}}}=-2.107$

Part c: Statistical decision

$n \hat p= 100*0.67= 67 >5$

$n (1-\hat p)= 100*(1-0.67)= 33 >5$

So then the normal approximation makes sense.

Since the calculated value is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level provided and we can conclude that the true proportion is lower than 0.76

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.67$ estimated proportion of interest

$p_o=0.76$ is the value that we want to test

$\alpha=0.025$ represent the significance level

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.76:

Null hypothesis: $p\geq 0.76$

Alternative hypothesis: $p < 0.76$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Part a : Critical value

For this case we want a value of $\alpha = 0.025$ we need to find on the normal standard distribution a z score that accumulates 0.025 of th area on the left and this value is $z_{crit}= -1.96$

Part b: Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.67 -0.76}{\sqrt{\frac{0.76(1-0.76)}{100}}}=-2.107$

Part c: Statistical decision

$n \hat p= 100*0.67= 67 >5$

$n (1-\hat p)= 100*(1-0.67)= 33 >5$

So then the normal approximation makes sense.

Since the calculated value is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level provided and we can conclude that the true proportion is lower than 0.76

6 0

4 years ago

Spencer has a retirement account through his employer. His monthly contributions to the account are taken out of his check befor

abruzzese [7]

Answer:

Traditional 401 (K) plan

Step-by-step explanation:

The fact that the contributions to the pension plan are deducted before payroll taxes means that the plan in question is a traditional 401 (K) plan with taxes on the earnings deferred until the employee eventually withdraws funds from the pension plan.

This is quite different from Roth 401 (K) Plan where the contribution is not tax deferred ,instead contributions are made after payroll taxes have been sorted but eventual withdrawal from the plan is tax exempt.

6 0

4 years ago