If someone ate 1/8 of a pizza and someone else ate 1/6 of a pizza how many pieces are left?

The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and stand

Llana [10]

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

$P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})$

$P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})$

$P(X > 1560) = P(Z > \dfrac{110}{220})$

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean $\mu_x$ = np = 52 × 0.3085 = 16.042

The standard deviation = $\sqrt {n \time p (1-p)}$

The standard deviation = $\sqrt {52 \times 0.3085 (1-0.3085)}$

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

$Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})$

$Pr ( Y > 20) = P(Z >1 .338)$

From z tables

P(Y > 20) $\simeq$ 0.0903

7 0

3 years ago

Aliyah was counting her steps. It took her 1,317 steps to walk to the store, 561 steps to get to the park, and another 259 to ma

trapecia [35]

Answer:

Aliyah will take a total of 4274 steps.

Step-by-step explanation:

Given:

Number of steps from home to store = 1317 steps

Number of steps from store to park = 561 steps

Number of steps from park to friends house = 259 steps

So now we will find the Total number of steps from home to friends house.

Total number of steps from home to friends house can be calculated by adding Number of steps from home to store and Number of steps from store to park and Number of steps from park to friends house.

framing in equation form we get;

Total number of steps from home to friends house = $1317+561+259 = 2137\ steps$

Is same route is followed to home we can say that;

Total number of steps from friends house to home = 2137 steps.

So Total number of steps she will take next day will be equal to Total number of steps from home to friends house plus Total number of steps from friends house to home.

framing in equation form we get;

Total number of steps she will take next day = 2137 +2137 = 4274 steps

Hence Aliyah will take a total of 4274 steps.

3 0

3 years ago

PlEASE HELP ME PEOPLE HUMPTH OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does

SpyIntel [72]

Answer:

No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.

Example:

the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.

10 + 79 + 42 + 88 + 19 + 50 = 288

288 ÷ 6 = 48

6 0

3 years ago

Kay was walking along the bridge above the river. She accidentally lost her grip on her camera when she was trying to get it out

nikklg [1K]

Answer:

5 seconds it will hit the water.

Step-by-step explanation:

y=-16t²+400

add -16t² to both sides

-16t²=-400

divide both sides by 16

t²=-25

t=√25

t=5

8 0

3 years ago

Read 2 more answers

Round to the nearest thousand . Use the number line to model your thinking

ivolga24 [154]

Answer:

Step-by-step explanation:

the line grath is your answer

YOU WELCOME

8 0

3 years ago