A population is normally distributed with a mean of 100 and a standard deviation of 10. For samples of size 25, what is the probability of randomly sampling and finding a sample mean of 99 or more
Answer:
The value is [tex]P( \= X \ge 99) = 0.69146[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 100[/tex]
The standard deviation is [tex]\sigma = 10[/tex]
The sample size is n = 25
The standard deviation of the sampling distribution is
[tex]\sigma_{\= x} = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{10}{\sqrt{25} }[/tex]
=> [tex]\sigma_{\= x} = \frac{10}{5 }[/tex]
=> [tex]\sigma_{\= x} = 2[/tex]
Generally the probability of randomly sampling and finding a sample mean of 99 or more is mathematically represented as
[tex]P( \= X \ge 99) = 1 - P(\= X < 99)[/tex]
Here
[tex]P(\= X < 99) = P(\frac{\= X - \mu }{\sigma } < \frac{99 - 100 }{2} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(\= X < 99) = P(Z < -0.5 )[/tex]
From the z table probability of (Z < -0.5 ) is
[tex]P(Z < -0.5 ) = 0.30854[/tex]
Generally
[tex]P( \= X \ge 99) = 1 - 0.30854[/tex]
=> [tex]P( \= X \ge 99) = 0.69146[/tex]
8. Preston brushes his teeth for 9.562 seconds. a) What is his brushing time rounded to the nearest tenth? b) To the nearest hundredth? c) To the nearest whole number? d) Write his time in expanded notation.
Answer:
a) 9.6 b)9.56 c)9
Step-by-step explanation:
The container of orange juice held 5 and one-third cups of juice. If a serving of orange juice is StartFraction 7 Over 8 EndFraction of a cup of orange juice, to the nearest whole serving, how many servings were in the container?
5 servings
6 servings
15 servings
19 servings
Answer:
It would be 6 servings
Solve the equation x^2 =10
A. x = ±√10
B. x = √10
C. x = ±5
D. x = 5
Answer:
I think A is the answer
Step by step explanation:
Solve for x. 3x + 5 - 2x = 8
Answer:
x=3
Step-by-step explanation:
3x+5-2x=8 subtract 5 from both sides
3x-2x=3 subtract 2x from 3x
x=3
Hope this helps!
There are 50people at a party. If each person shakes hands with every other person, how many handshakes will there be? (Hint: Think about how many handshakes the first person has, then the second person, etc.)
Answer:
1,250 hand shakes
Step-by-step explanation:
If each person shakes every other person's hand, it would be 50 people x 25 shakes each= 1,250 hand shakes.
HELP!! I WANT YOU TO KNOW THAT I LOVE YOU
Answer:
b. y = -3x/2 + 2
Step-by-step explanation:
To get 3x + 2y = 4 into slope intercept form:
3x + 2y = 4 (starting equation)
2y = -3x +4 (do the inverse of 3x to get it on the other side)
y = -3x/2 + 2 (divide all of previous equation by 2 to distinguish y)
5) What is the solution to this equation?
x+ 20 + 10x=20+ 9x
A. x= 10
B.x=0
C. X = 20
D. x=2
Answer:
x=0
Step-by-step explanation:
11x-9x=20-20
2x=0
x=0
If x= 4 and y= 28, what does k equal?
Please help me understand what k means.
What is the answer?
Answer: a_<-5 and a_>5
Step-by-step explanation:
because in the first equation the 5 goes first and then the a.The next equation the a is grader than the 5>
What is the following: 9(2x − 3) + 5x + 17
Answer:
23x-10
Step-by-step explanation:
Right on Moby Max
242 as a Percent need help NOW!!!
Answer:
24200%
Step-by-step explanation:
Answer:
24200%
Step-by-step explanation:
need help ASAP
When the pennies are put in groups of 2 there is one penny left over. When they are put in groups of three, five and six there is also one penny left over. But when they are put in groups of seven there are no pennies left over.
How many pennies could there be?
A component is assembled in a four-step process. The probability of making a defect in step 1 is .10; in step 2, .20; in step 3, .08; and in step 4, .05. What is the probability that the component will be defective
Answer:
0.371
Step-by-step explanation:
Given that:
Assembly requires a 4 step process:
Probability distribution of defect :
P(step 1) = 0.1
P(step 2) = 0.2
P(step 3) = 0.08
P(step 4) = 0.05
Firstly, we find the probability that there is no defect in each of the assembly process :
Probability of no defect: = (1 - p(defect))
P(step 1) = 1 - 0.1 = 0.9
P(step 2) = 1 - 0.2 = 0.8
P(step 3) = 1 - 0.08 = 0.92
P(step 4) = 1 - 0.05 = 0.95
Hence,
P(no_defect) = 0.9 * 0.8 * 0.92 * 0.95 = 0.62928
Probability of having a defective component ;
P(defect) = P(no_defect)' = 1 - p(no-defect)
1 - 0.62928 = 0.37072
0.37072
= 0.371
Louis is a gardener. He plants 4 rose bushes for every 3 lilac bushes. If Louis
plants 24 rose bushes, how many lilac bushes does he plant?
Answer: 18 lilac bushes
Step-by-step explanation:
24/4=6
3x6=18
he manager of a baseball team will buy T-shirts for the players on the team. The manager compares prices of T-shirts from different companies.
The table is titled T-shirt Costs. The first column is labeled Company, the second column is labeled Quantity, and the third column is labeled cost in dollars. Row one TShirt Central, one, sixteen. Row two Amazing Designs, two, thirty-five. Row three Team Shirts, four, sixty. Row four Awesome Shirts, five, seventy.
In order to pay the least amount per T- shirt, which company should the manager choose?
the 35 one
Step-by-step explanation:
How long does it take for a snail to crawl 64 inches
Answer:
2.55 minutes it takes a snail to crawl 85 inches
i hope this helps you
Step-by-step explanation:
Today at school, Aileen spent 6 hours in classes, 0.5 hour in lunch, and 2 hours practicing soccer. About what percent of Aileen's time at school was spent in classes?
Answer:
70.588235294118%
Step-by-step explanation:
you divide 6 by 8.5 since. 8.5 is the total
amount of hours.
what is a pie chart
Answer:
Step-by-step explanation:
its a chart in a circle that is usually out of a hundred percent and they divide certain traits into the chart
Answer:
A pie chart is a kind of graph that is in the shape of a circle, it is called a pie chart because its shape, and the percents are in the shapes of pie slices,
Use the law of cosines to find each missing angle. Round to the nearest angle.
Answer:
5) x= 88
6) x= 13
(answers rounded off to the nearest degree)
Step-by-step explanation:
Please see the attached picture for the full solution.
Please help thanks :)
Write the equation of the line passing through the given points (- 5, 7) and (3, - 1)
Write the slope
Write the equation
Write the equation for the line y=Mx+b
ou are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 2 toppings? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
hi
Step-by-step explanation:
Find g(3) when g(x)=-2x+3.
Answer:
g(3) = -3
Step-by-step explanation:
Step 1: Define
g(x) = -2x + 3
g(3) is x = 3
Step 2: Substitute and Evaluate
g(3) = -2(3) + 3
g(3) = -6 + 3
g(3) = -3
Answer:
g(3) = - 3
Step-by-step explanation:
To evaluate g(3) substitute x = 3 into g(3), that is
g(3) = - 2(3) + 3 = - 6 + 3 = - 3
The price of a new slide in stove is $794. Pedro makes a 10% down payment for a
two-year installment purchase. The monthly payment is $34.25 dollars. What is his
down payment?
Answer:
$79.4
Step-by-step explanation:
Given that :
Price of stove =$794
Down payment = 10% =
Time = 2 years = 24 months
Monthly payment = $34.25
Down payment = 10% of 794
Down payment = 0.1 * $794
Down payment = $79.4
Hence, down-payment = $79. 4
Joanna created a triangular shaped vegetable garden and needs to put down fertilizer to cover the space. If the garden has a base of 1.4 m and a height of 2.6 m, what is the area of the garden?
Answer:
triangle
A=1/2 bh A=1/2 .1.4 . 2.6 A=1.82 m^2
Step-by-step explanation:
PLZ HURRY IT'S URGENT!!
Find the slope of the line passing through the points (2, 5) and (0, -4).
Answer Choices:
−2/9
9/2
−9/2
2/9
Answer:
9/2
Step-by-step explanation:
Answer:
The answer is
[tex] \huge \frac{9}{2} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{ - 4 - 5}{0 - 2} = \frac{ - 9}{ - 2} = \frac{9}{2} \\ [/tex]
We have the final answer as
[tex] \frac{9}{2} \\ [/tex]
Hope this helps you
X+9
x + 6
x+1
X+4
X + 3
Answer:
ur ugly daddy ;)
Step-by-step explanation:
Can someone help me with this? It’s due tmrw
Answer:
hmm
Step-by-step explanation:
Answer:
this is more than one question
Step-by-step explanation:
i dont think anyone would do all of this
(5-7)(-3) pls help me I'll give brainliest.
Answer:6
i know im a second answer but can i still have a brainliest(: