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loris [4]
1 year ago
14

Assume that x has a normal distribution, with the specified mean and standard deviation. Find the indicated probabilities. P(x ≥

5); μ = 18; σ = 5Multiple choice:a. 0.995b. 0.495c. 0.005d. 0.248e. 0.002
Mathematics
1 answer:
miskamm [114]1 year ago
5 0

Find out the value of z

Remember that

z =(x - μ)/σ

we have

μ=18

σ=5

For x=5

substitute

z=(5-18)/5

z=-2.6

Using a z-scores table

we have that

P(x ≥ 5)=0.99534

therefore

<h2>the answer is option A</h2>

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I dont get this please help!
suter [353]
1. Divide it into a triangle and a rectangle
2. To solve the area of the rectangle which is (length times width) do 2x9 = 18
3. To solve the area of the triangle which is (length times width divided by 2) do 2x4/2 =4
4. Area = 18 + 4, 22 square units
5 0
3 years ago
At the bakery where you work, loaves of bread are supposed to weigh 1 pound, with a standard deviation of 0.13 pounds. You belie
saveliy_v [14]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

H0 : μ = 1

H1 : μ > 1

Sample size, n = 20 ; xbar = 1.05; Standard deviation, s = 0.13

Test statistic;

t because sample size is < 30

(xbar - μ) ÷ (s/sqrt(n))

(1.05 - 1) ÷ (0.13 / sqrt(20))

0.05 ÷ 0.0290688

= 1.7200572

Using a p value calculator :

With alpha = 0.05 ; df = n - 1 = 20 - 1 = 19

P value = 0.05084

P value > alpha

We fail to reject H0

There is not sufficient evidence to support that the new personnel are producing loaves that are heavier than 1 pound

8 0
3 years ago
Select the correct answer.
meriva

Answer:

D, x = (ln(0.5) - 1)/2

Step-by-step explanation:

8e^(2x+1) = 4

e^(2x+1) = 0.5

2x+1 = ln(0.5)

2x = ln(0.5) - 1

x = (ln(0.5) - 1)/2

3 0
3 years ago
Solve x^2=2x+3 by factoring
solong [7]

The solution is x = 1 and x = -3

<em><u>Solution:</u></em>

Given that we have to solve the given equation by factoring

Given equation is:

x^2=2x + 3\\\\x^2 - 2x - 3 = 0

\text{Consider the form } x^2+bx+c

Find a pair of integers whose product is c and and whose sum is b

\text{Compare } x^2-2x-3 = 0 \text{ with } x^2+bx +c\\\\\text{We get } b = -2 \text{ and } c = -3

Now find, a pair of integers whose sum is -2 and product is -3

The integers that satisfies this condition is -1 and 3

When we add - 1 and 3 we get 2

When multiply -1 and 3 we get -3

Thus the pair of integers are -1 and 3

Write the factored form using these integers.

(x-1)(x+3) = 0

The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0

Set the factors equal to 0

x - 1 = 0 \text{ and } x + 3 = 0

x = 1 and x = -3

Thus the solution is x = 1 and x = -3

4 0
3 years ago
Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s actual height is 4
Oduvanchick [21]

Percentage of error by Clare is estimated as 4.1667 %

Height measured by Clare = 4 feet

Height measured by Doctor = 4 feet, 2 inches

Percentage error = ?

Percentage error = Difference/ Actual height *100

Percentage error = (2/ (4*12))*100

Percentage error = 4.1667 %

The accurate height is measured by Doctor, as he have more accurate measurement system.

3 0
3 years ago
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