△MNP≅△QST. What is m∠S? Enter your answer in the box.

Solve the problem.

madreJ [45]

Answer:

9676

Step-by-step explanation:

29028 feet / 3 weeks = 9676 feet per week

6 0

3 years ago

A high school runs a survey asking students if they participate in sports. The results are found below. Run an independence test

Sveta_85 [38]

Answer:

It can be concluded that participation in sports is dependent on grade level.

Step-by-step explanation:

In this case a Chi-square independence test for the data is to be performed at α = 0.01.

The hypothesis can be defined as follows:

H₀: The participation in sports is independent of grade level.

Hₐ: The participation in sports is dependent of grade level.

The data provided is:

Freshmen Sophomores Juniors Seniors

Yes 75 88 55 42

No 30 28 38 40

The formula to compute the expected frequencies is:

$E_{i}=\frac{i^{th}\ \text{Row Total}\ \times\ i^{th}\ \text{Column Total}}{N}$

The Chi-square statistic is:

$\chi^{2}=\sum {\frac{(O_{i}-E_{i})^{2}}{E_{i}}}$

Consider the Excel file attached below.

The value of Chi-square statistic is 16.244.

The degrees of freedom of the test are:

$\text{df}=(r-1)(c-1)$

$=(4-1)(2-1)\\=3\times 1\\=3$

Compute the p-value of the test as follows:

$p-value=P(\chi^{2}_{df}$

$=P(\chi^{2}_{3}$

*Use a Chi-square table.

p-value = 0.001 < α = 0.01

The null hypothesis will be rejected at 1% level of significance.

Thus, it can be concluded that participation in sports is dependent on grade level.

4 0

4 years ago

Jenny bought a desk on sale for 119.60 the price was 75% less than the original price was the original price

olasank [31]

Answer:

100 - 75 = 25%

25%=119.60

need to find 1%

25/25=1%

119.60/25=1%

1%=4.784

now multiply by 100 to find original price

100% = 478.40

original price £478.40

5 0

3 years ago

I need help with this Geometry question

Nutka1998 [239]

Check the picture below.

8 0

3 years ago

Ann, Bob, Carol, and Denis own a candy store. After a large argument, they decide to dissolve their partnership using the sealed

MaRussiya [10]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

$Ann=\$3,20,000\\\\Bob=\$4,40,000\\\\Carol=\$240,000\\\\Denis= \$4,00,000\\\\$

Each player's offer divided by the total number of players calculates the fair share

Ann's fair share $= \frac{\$320,000}{4} = \$80,000\\\\$

Bob's fair share $= \frac{\$440,000}{4} = \$110,000\\\\$

Carol's fair share $= \frac{\$240,000}{4} = \$60,000\\\\$

Denis's fair share $= \frac{\$400,000}{4} = \$100,000\\\\$

Because Bob has the highest bid, that receives in the business.

Payments:

Ann $\$80,000$ paid by estate

Bob $= \$440,000 - \$110,000 = \$330,000$ owes estate

Carol $= \$60,000$ paid by estate

Denis $= \$100,000$ paid by estate

Surplus $= \$330,000 - (\$80,000+\$60,000+ \$100,000) = \$90,000$

Splitting the equally among the four players. therefore one of the each receives:

$\frac{\$90,000}{4}= \$22,500$

The final settlement of the Ann receives:

$= \$80,000+ \$22,500 = \$102,500$

3 0

3 years ago