Using the normal distribution, it is found that 6.3% of people received a higher score than Jose.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 76.28, \sigma = 7.02[/tex].
The proportion of people who received a higher score than Jose is one subtracted by the p-value of Z when X = 87, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{87 - 76.28}{7.02}[/tex]
[tex]Z = 1.53[/tex]
[tex]Z = 1.53[/tex] has a p-value of 0.937.
1 - 0.937 = 0.063.
6.3% of people received a higher score than Jose.
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Aunt Jane weighs 45 newtons. What is her mass in kilograms?
Answer:
45 newtons = 10.1164024 pounds/force
Step-by-step explanation:
Hope this helps!!!
The required mass of Aunt jane is given as 4.5 kilograms.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given that, Aunt Jane weighs 45 newtons.
So,
F = 45
Since F = Mg,
Mg = 45
M(10) = 45
N = 4.5 kilograms,
Thus, the required mass of Aunt jane is given as 4.5 kilograms.
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someone please help I’ll make you BRAINLIST
Answer: x=2√3
sin θ= opposite side ÷ hypotenuse
sin 30°= √3÷ x
sin 30°= 1/2
Therefore,
1/2= √3÷x
1/2×x=√3÷x×x
x is cancelled off on the right hand side,
1/2×x=√3
1/2× x ×2=√3×2
1/2 and 2 cancel off on the left hand side,
x= 2√3
Hope this helps!
Step-by-step explanation:
there are 880 student in a school . if 75% of students passed the final exam find the number of passed and failed student
This week, max worked 15 hours and made $ 131.25. last week, he made $157.50. How many hours did he work ?
Max worked hours.
will mark brainlest
Answer:
18
Step-by-step explanation:
131.25/15=8.75
8.75x18=157.50
Answer:he worked 18 hours
Step-by-step explanation: if he made 131.25 in 15 hours ( 131.25 divided by 15= 8.75) so 8.75$ is how much he makes an hour so 157.50 divided by 8.75 = 18 so max worked 18 hours and made 157.50$
Honey is a technology company that provides online coupons to its subscribers. Honey's analytics staff has developed a classification method to predict whether a customer who has been sent a coupon will apply the coupon toward a purchase. For a sample of customers, the following table lists the classification model's estimated coupon usage probability for a customer. For this particular campaign, suppose that when a customer uses a coupon, Honey receives $1 in revenue from the product sponsor. To target the customer with the coupon offer, Honey incurs a cost of $0.05. Honey will offer a customer a coupon as long as the expected profit of doing so is positive. Using the equation
Expected Profit of Coupon Offer = P(coupon used) × Profit if coupon used + (1 - P(coupon used)) × Profit if coupon not used
determine which customers should be sent the coupon.
Customer Probability of Using Coupon
1 0.47
2 0.35
3 0.27
4 0.03
5 0.08
Determine the expected profit for each customer. Round your answers to the nearest cent. Enter negative value as negative number, if any.
Customer Expected Profit
1 $
2 $
3 $
4 $
5 $
The expected profit is positive for customers
- Select your answer -
, so these customers
- Select your answer -
the coupon
Based on the expected profit to Honey, and the probability of the various customers using the coupons, all customers except customer 4 should be sent coupons.
What is the expected profit for all customers?The profit to Honey if people use the coupons is:
= Revenue - Cost
= 1 - 0.05
= $0.95
The profit if the coupon is not used is the cost of $0.05.
Customer 1 expected profit:
= P(coupon used) × Profit if coupon used + (1 - P(coupon used)) × Profit if coupon not used
= (0.47 x 0.95) + ( (1 - 0.47) x -0.05)
= $0.42
Customer 2 expected profit:
= (0.35 x 0.95) + ( (1 - 0.35) x -0.05)
= $0.30
Customer 3 expected profit:
= (0.27 x 0.95) + ( (1 - 0.27) x -0.05)
= $0.22
Customer 4 expected profit:
= (0.03 x 0.95) + ( (1 - 0.03) x -0.05)
= -$0.02
Customer 5 expected profit:
= (0.08 x 0.95) + ( (1 - 0.08) x -0.05)
= $0.03
In conclusion, all customers expect customer 4 should be sent the coupons as they result in profits.
Find out more on expected profit at https://brainly.com/question/10675141.
A $1250 TV is on sale for $200 off the regular price. The tax is 5.5%. What is the total
cost of the TV with tax?
Answer: Multiply 950 by 5.5
1250 - 200 = 950
950 x 5.5 = answer.
I am not sure though.
Answer:
1107.75
Step-by-step explanation:
1250-200=1050
10%x1050=105
5%=52.5
1%=10.5
0.5%=5.25
1050+52.5+5.25=1107.75
Find the product.
75 × 222
A. 17,650
B. 16,500
C. 16,650
D. 14,110
Please help me I do not understand
Answer:
x = 12
Step-by-step explanation:
x⁹ = 12² • 12⁷
x⁹ = 12²+⁷
x⁹ = 12⁹
x = 12
how many solutions does y=-6x-9 have
Answer:
an infinite number
Step-by-step explanation:
This equation has a graph that is a line. Every point on the line is a solution.
There are an infinite number of solutions.
Choose the equation that represents a line that passes through points (-6, 4) and (2.0).
Moving to another question will save this response.
Question 1
Solve the equation for X.
4(3x + 2) = 68
Answer:
x=5
Step-by-step explanation:
1. Open the parenthesis:
12x+8=68
2. Subtract 8 from both sides
12x=60
3. Solve for x:
x=60/12
x=5
Answer:
x=5
Step-by-step explanation:
4(3x+2=68
x=5
this is the answer
Two adults and one child go to a movie and pay $26. One adult and 3 children pay
$28. How much would it cost for one adult and one child to see the movie?
Answer:
adults pay $10
children pay $6
Step-by-step explanation:
x = adult
y = child
2x + y = 26
x + 3y = 28
you want to cancel out x or y
multiply -2 with (x + 3y = 28) which is -2x -6y = -56
2x + y = 26
-2x -6y = -56
-5y = -30
y = 6
put y back into an equation
2x + y = 26 is
2x + 6 = 26
x = 10
check the answer
Two adults and one child go to a movie and pay $26
20 + 6 = 26 : checks
One adult and 3 children pay $28
10 + 18 = 28 : checks
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 376 minutes and standard deviation 70 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 526 minutes and standard deviation 106 minutes. A researcher records the minutes of activity for an SRS of 6 mildly obese people and an SRS of 6 lean people.
Required:
a. What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes?
b. What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 410 minutes?
Answer:
0.9963 is the probabilities that mean number of daily activity of 6 lean people exceed 410 minutes.
Step-by-step explanation:
Solution:
6 Mildly obese people exceed 410 minutes.
Given:
Mean = µ = 376
Standard deviation = ∂ = 70
n = 6
p (x> 410) = p (z > x - µ/ ∂ / √n)
= p (z > 410 – 376 / 70 /√6 )
= p (z > 1.185)
= 1 – p (z < 1.185)
= 1 – 0.38199
= 0.618
0.618 is the probability that the mean number of minutes of daily activity of 6 mildly obese people exceed 410 minutes.
6 lean people exceed 410 minutes:
Given:
Mean = µ = 526
Standard deviation = ∂ = 106
n = 6
=p(x > 410)
= p (z > x - µ/ ∂ /√n)
=p (z > (410 – 526 ) / 106 / √ 6 )
= p (z > - 2.67)
= p (z <2.68)
= 0.9963
0.9963 is the probabilities that mean number of daily activity of 6 lean people exceed 410 minutes.
The graph of y = f ′(x) is shown below. List the intervals where the graph of f is decreasing.
Graph consists of 3 line segments from x equals negative 4 to x equals 4. Graph is decreasing from x equals negative 4 to x equals negative 2, increases from x equals negative 2 to x equals 2 and decreases from x equals 2 to x equals 4. There are x intercepts at x equals negative 4, 0 and 4.
(–4, –2)
(–2, 2)
(–4, 0)
(0, 4)
Answer:
try substituting it should get you the correct answer if not im sorry.
Step-by-step explanation:
What type is this angle
If u click there will be pic
What is mode for this data set 41,43,45,3,11, 23,
Answer:
there is no mode
Step-by-step explanation:
None of the numbers repeat more than once
The grocery store makes a 32% profit on deli foods. The profit for the
deli last month was $640. What was the total sales for the deli last
month?
Answer:
$2000
Step-by-step explanation:
The profit is the money earned by the store, meaning in this case, it's 32%. 32 percent of an amount is equal to 640. Set up an equation: 0.32(x) = 640, where x is the total money earned including the profit. x is solved to be 2000 dollars.
1st person to answer you get brainest
The function is defined as follows for the domain given.
f(x)=3x+2, domain = (-2,-1,0, 1}
What is the range?
Answer:
just go to Khan academy, they explain how to get it there. that way you'll learn how to do it while also getting the answer
Brianna needs to contact members of the softball league. She calls 2 members of the softball league. Those 2 people each call 2 more people in the afternoon. That evening, those additional people each call 2 others. How many people are called that evening?
Answer:
8
Step-by-step explanation:
because I plus all 2 and say evening how many see
Eighty seven students were passing around a petition to stop the historical building from being demoilshed. each student collected 92 signatures. what was the total number of signatures the students collected
Answer:
8004
Step-by-step explanation:
87 x 92 = 8004
Answer:
87 × 92 = 8,004
Step-by-step explanation:
all 87 students got 92 signatures
Which place is in the thousand place in 4,968,123
Answer:
The "8"
Step-by-step explanation:
Here's a simplified reason why:
When you start from the 3, that should be the one digit.
The 2 shall be tens
The 1 shall be hundreds
AND FINALLY, THE 8 which is the thousands place.
Combine like terms. 5y - 8 - y
hence the combination=
[tex] \bold {4y - 8}[/tex]
All the best !
Answer:
4(y-8)
Step-by-step explanation:
5y-y (1) = 4y-8
4 (y-8)
f(x) = x4 +x - 5, find f(0).
Answer:
f(0) = -5
Step-by-step explanation:
f(x) = x^4 +x - 5
Let x=0
f(0) = 0^4 +0 - 5
= -5
If I passed out math books and the length is 10 inches the. Width is 8 inches.What is the perimeter of each book
Answer:
36
Step-by-step explanation:
You add all the sides together 10
+10+8+8=36
hi pls help pls pls pls
Answer:
yes but in what help you need
Step-by-step explanation:
first explain me what help
then give brainliest
then give thanks
then rate 5 stars
Area of a circle
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Find the area of a circle with a radius of 2.
Either enter an exact answer in terms of IT or use 3.14 for TT and enter your answer as a decimal.
units
2
Show Calculator
Report a problem
Stuck? Review related articles/videos or use a hint.
Answer:
12.56
Step-by-step explanation:
π x 2² = π x 4 = 3.14 x 4 = 12.56
Solve the equation by factoring.
3x^2 - 7x + 4 = 0
The sum of three consecutive odd integers is 42. What is the LARGEST of these three integers?
Answer:
17
Step-by-step explanation:
13+15+17=42
17 is the largest of these numbers.
X/h +1=-2 what is the value of x in terms of h
Answer:
i’m pretty sure it’s X = -3h
Step-by-step explanation:
X/h + 1 = - 2
By taking L.C.M
(X + h)/ h = -2
X + h = -2h
X = -2h - h
X = -3h