2

Ten points - Check attached image

Rudiy27

Answer:

Option D will be the correct option.

Step-by-step explanation:

Formula to get the area of the sector,

Area of the sector = $\frac{\theta}{360}(\pi r^{2})$

Here θ = Angle subtended by the arc of the sector at the center

r = radius of the circle

Area of the shaded sector = $\frac{155}{360}\times \pi (4.3)^2$

= 25.01 square inches

Area of the shaded sector will be 25 square inches (approximately).

Option D will be the correct option.

8 0

4 years ago

Josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:4. She needs to make 49 liters of punch for the party.

marta [7]

Answer:

<h2>juice = 21</h2><h2>lemonade = 28</h2>

Step-by-step explanation:

given:

ratio of juice and lemonade = 3:4

She needs to make 49 liters of punch for the party.

find:

How much of each ingredient does she need

solution:

add the ratio 3 + 4 = 7

total punch divide by the total ratio

49 / 7 = 7 (coefficient)

juice 3 x 7 = 21

lemonade 4 x 7 =<u> 28 </u>

total = 49

5 0

3 years ago

If Debbie starts a retirement account with 10,000 dollars that has an annual rate of return of 12%, how long (in years) would it

Anestetic [448]

Answer:

19.2 years

Step-by-step explanation:

The formula to find the time in a compound interest that is compounded continuously is given as:

t = ln(A/P) / r

Where:

t = time in years = ??

A = Amount after Interest is compounded continuously = $100,000

P = Initial Amount in the retirement account = $10,000

r = Rate of return = 12%

First, convert R percent to r a decimal

r = R/100

r = 12%/100

r = 0.12 per year,

Then, solve our equation for t

t = ln(A/P) / r

t = ln(100,000.00/10,000.00) / 0.12

t = 19.188 years

Approximately t = 19.2 years

6 0

3 years ago

The area of a rectangle is 26.88 square centimeters. The length of the rectangle is 9.6 centimeters. What is the width of the re

lianna [129]

Answer:

26.88 divided by 9.6 is 2.8

Meaning that the width is 2.8 cm

8 0

3 years ago

An article presents a study of health outcomes in women with symptoms of heart disease. In a sample of 115 women whose test resu

My name is Ann [436]

Answer:

z(s) is in the rejection region we reject H₀ μ₁ = μ₂ and support the claim that at CI 95 % the means of the two groups differs

Step-by-step explanation:

Sample 1:

Sise sample n₁ = 115

μ₁ = 169,9 mmHg

σ₁ = 24,8 mmHg

Sample 2:

Sise sample n₂ = 235

μ₂ = 163,3 mmHg

σ₂ = 25,8 mmHg

We can develop a test hypothesis for differences in means to investigate if the mean peak systolic blood pressure differs between these two groups

We will choose CI = 95 % then significance level α = 5 %

α = 0,05 α/2 = 0,025

z(c) for 0,025 is from z-table z(c) = 1,96

Test Hypothesis:

Null Hypothesis H₀ μ₁ = μ₂

Alternative Hypothesis Hₐ μ₁ ≠ μ₂

The alternative hypothesis tells us that the test is a two-tail test.

z(s) = ( μ₁ - μ₂ ) / √ σ₁²/n₁ + σ₂²/n₂

z(s) = ( 169,9 -163,3 ) / √ (24,8)² /115 + ( 25,8)²/235

z(s) = 6,6 / √5,35 + 2,83

z(s) = 6,6 / 2,86

z(s) = 2,30

Comparing |z(c)| and |z(s)|

z(s) > z(c)

z(s) is in the rejection region we reject H₀ μ₁ = μ₂ and support the claim that at CI 95 % the means of the two groups differs

6 0

3 years ago