The graph shows the distribution of the number of text messages young adults send per day. The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.
What percentage of young adults send more than 158 text messages per day?
16%
34%
68%
84%
Answers
Answer:
16%
Step-by-step explanation:
From the graph of distribution of the number of text messages
Young adults send more than 158 text messages per day is 16%
Given :
The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.
Given 158 text messages . so x is 168
Now we find out z -score
[tex]z=\frac{x-mean}{standard\; deviation }[/tex]
Replace the values and find out z
[tex]z=\frac{158-128}{30} =1[/tex]
the value of z=1
Lets use the standard deviation table that gives area on the left
the table gives the percentage of adults less than 158
z-score value for z=1 is 0.8413
Now, percentage of young adults send more than 158 text messages
Percent (more than 158)=1- P(less than 158)=[tex]1-0.8413=0.1587[/tex]
To get percentage we multiply by 100
[tex]0.1587 \cdot 100= 15.87= 16[/tex]
Young adults send more than 158 text messages per day is 16%
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Related Questions
The Academy for Academic Excellence has just announced their winner for the most successful student in mathematics This student will receive a grant for their college education as well as national recognition for academic excellence in the field of mathematics. The grant will cover $12,177.17 of the cost of school per year for 5 years. If the initial amount is invested into an account over the five years, paying an annual interest rate of 5,5%, and you are to withdraw from this account until the remaining balance after the 5 years is zero dollars, determine the initial amount of the grant. Round your answer to the nearest dollar. a $52,000 c. $60,886 b. $55,200 d. $64,235 LES
Answers
Answer:
A. $52,000
Step-by-step explanation:
The initial amount of the grant is $52,000. The correct option is a.
What is annuity?An annuity is a financial product that provides an individual with a series of regular payments in exchange for an initial investment or a series of payments.
Annuities are commonly used to generate income in retirement, but they can also be used for other purposes, such as covering the future expenses of a dependent or providing a guaranteed income stream for a set period of time.
We can use the formula for the present value of an annuity to find the initial amount of the grant:
PV = A * ([tex](1 - (1 + r)^{(-n)[/tex]) / r)
Where PV is the present value, A is the annual payment, r is the annual interest rate, and n is the number of periods.
Substituting the given values, we get:
PV = 12,177.17 x ((1 - [tex](1 + 0.055)^{(-5)[/tex]) / 0.055)
PV ≈ 51,765.57
Rounding to the nearest dollar, the initial amount of the grant is $52,000.
Therefore, the answer is option (a).
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Boxerville middle school is going to rent some vans to take students on a field trip. Each van can hold 8 students if a total of 88 students are going on field trip how many vans are needed
Answers
Answer:
11 bus are needed
Step-by-step explanation:
Do 88 divided by 8, that will give you the number of buses
Cups are sold 6 to a package and plates are sold 8 to a package. If you want to have the same number of each item for a party
a) What is the least number of packages of each you need to buy?
Answers
Answer:
24
Step-by-step explanation:
If you want to find the least amount of packages, you'll have to find what multiple they have in common.
One way to find this is 6x8, which is 48, but that isn't always the lowest.
Here are the first few multiples of six: 6, 12, 18, (24), 30, 36, 42, and 48.
Here are the first few multiples of eight: 8, 16, (24), 32, 40, 48, 56, and64
SEPULUH RIBU RUPIAH
Answers
Answer:
RP 10.000
Step-by-step explanation:
What it true?
Pls answer 55-62 I will give brainlist
Answers
56) 12 2/3 or 12.66666666667
57) -46 2/4 or -46.6666666667
58) 7 9/16 or 7.56
59) -15
60) 3 1/10 or 3.1
61) 6 2/3 or 6.666666666667
62) -13807.5
Your welcome
how do i find the amount of solutions to an quadratic equation by looking at it for example "How many real solutions are there to the equation x2−7x+12=0?"
Answers
So (3*4=12 and3+4=7 / the bigger number takes the 7 sign (-/+) )
So (x-4=0)(x-3=0)
X=4. X=3
Note when the last number sign is + they both take the bigger number sign and when it’s - they are different
Marti’s cat weights 12.37 pounds What is this weight written as a mixed number?
Answers
9514 1404 393
Answer:
12 37/100 pounds
Step-by-step explanation:
Twelve and thirty-seven hundredths is written as ...
12 37/100
I need help with this
Answers
each pumpkin costs $10.50
63/6 = 10.5 or $10.50 and $10.50 x 2 = $21
that's all I got sorry ~(>_<。)＼
Maya has a dog and it wants to be pet
Answers
Answer:
so what is the question?
Rachel is on her way home in her car. Her drive is 24 miles long. She has finished three-fourths of the drive so far. How far has she driven?
Answers
Answer:
The length of the drive is 36 mi
Step-by-step explanation:
According to a survey, 10% of Americans are afraid to fly. Suppose 1100 Americans are sampled. a) What is the probability that 121 or more americans in the survey are afraid to fly
Answers
Answer:
The probability that 121 or more Americans in the survey are afraid to fly is 0.1335.
Step-by-step explanation:
Let X denote the number of Americans afraid to fly.
The proportion of Americans afraid to fly is, p = 0.10/
A random sample of n = 1100 Americans are selected.
The random variable X follows a Binomial distribution with parameters n = 1100 and p = 0.10.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
[tex]np=1100\times 0.10=110>10\\\\n(1-p)=1100\times (1-0.10)=990>10[/tex]
Thus, a Normal approximation to binomial can be applied.
So, [tex]X\sim N(np,\ np(1-p))[/tex]
Compute the probability that 121 or more Americans in the survey are afraid to fly as follows:
[tex]P(X\geq 121)=P(\frac{X-np}{\sqrt{np(1-p)}}>\frac{121-110}{\sqrt{99}})\\\\=P(Z>1.11)\\\\=1-P(Z<1.11)\\\\=1-0.86650\\\\=0.1335[/tex]
Thus, the probability that 121 or more Americans in the survey are afraid to fly is 0.1335.
PLEASE HELP ME
Warmup: Which of the geometric figures are scaled copies of each other? What is the scale factor of the images you choose?
Answers
C, K, E.
F, D, I.
I’m not sure about the scale factor
Graph a line with a slope of -3that contains the point (4,-2)
Answers
-2 = -3(4) + b
-2 = -12 + b, b = 10
Y = -3x + 10
The line is linear so pick three points and draw a line through them.
(4, -2), (0, 10), (1, 7)
Answer:
Step-by-step explanation:
if x equals 8 -(-2.25) and y equals 6-4.2-(-4.9) what is the value of x-y
Answers
Answer:
x = 10.25
y = 6.7
Step-by-step explanation:
X = 8 - (-2.25) = 10.25
Y = 6 - 4.2 - (-4.9) = 6.7
Calculate the area of a square with sides of 5 inches.
Answers
Answer:
A = 25 in²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
Area of a Square: A = x²Step-by-step explanation:
Step 1: Define
Side length = 5 in
Step 2: Solve for A
Substitute: A = (5 in)²Evaluate: A = 25 in²And we have our final answer!
Answer:
25 inches squared.
Step-by-step explanation:
Since we know a square has 4 sides of equal length, and one of the sides has been given to us (5 inches), it's safe to assume the rest of the sides are the same. To find the area, we multiply length x width (5 x 5) to get 25 inches squared. Hope this helps! xx
xy+1
for
x=6 and y= -4
Answers
Answer:
-23
Step-by-step explanation:
6x4=-34+2=-23
Are these right? I’m not too sure
Answers
Answer:
Yep they look right to me!
Answer:
Yea your doing good
Step-by-step explanation:
Cesar, Carlos, David, and Edwin decided to have a push-up contest. The following table describes the push-up speeds of the four boys. Which boy has the fastest speed?
Answers
Answer:
Edwin (55 push-ups per minute)
Step-by-step explanation:
We need to find the actual number of pushups per one minute in order to compare them on the same base (per ONE minute). So we do"
Cesar: 200 / 4 = 50 pu/min
Carlos: 240 / 5 = 48 pu/min
David: 150 / 3 = 50 pu/min
Edwin: 110 / 2 = 55 pu/min
Therefore, Edwin is the fastest since he does more pushups per minute.
Consider the polygon GEOM with coordinate G(0,-2), E(-1,2), 0(-5,1),
M(-5, -6). If we rotate GEOM 90° clockwise about the origin, then reflect
over the y-axis, what are the coordinates of G"E"0"M"?
Answers
G'(2,0)
G''(-2,1)
O'(1,5)
O''(-1,5)
M'(-6,5)
M''(6,5)
sorry im a year late haha
fill out the missing angle measures until you find x
Answers
Answer: I think 131
Step-by-step explanation:
Is assert qualitative or quantitative? Please answer
Answers
Answer:
Qualitive
Step-by-step explanation
‘this is because x is negative and graphed it is positive
-University of Indiana Professor
Polly walked a total of 20 kilometers by making 4 trips to school. How many trips will Polly have to make in all to walk a total of 50 kilometers? Assume the relationship is directly proportional.
Answers
Answer:
ffffffffffffffffffffffffffffffffffff
Step-by-step explanation:
What is the expression of 22x(4+3+1)
Answers
Answer:
176x
Step-by-step explanation:
Step 1. Add the numbers
22x(4+3+1)
22x(8)
Step 2. Multiply the numbers
22x times 8= 176x
Terrence and his family are enjoying a vacation in the wild west. One place they really want to visit is the Grand Canyon. The total distance they will drive is 400 miles. If they have already driven 280 miles, what percent have they driven?
Answers
Answer: 70 percent
Step-by-step explanation:
280 divided by 400 is 0.70, so 280 is 70 percent of 400.
a. In the Example, what is the constant of proportionality for cups of vinegar to
cups of spray cleaner?
b. Jasmine is making more of the spray cleaner. She only wants to use 1 cup of
water. How much of the spray cleaner will Jasmine make? Show your work.
Answers
Answer: for a, I got 1/8 and for b. I got 10/15 because your taking away .5 to get a cup so you would have 10/15 left from the original amount
Step-by-step explanation:
Answer:
she will make 10/15.
Step-by-step explanation:
solve the equation: 36+15x-48+10x
Answers
Answer:
-12+25x
Step-by-step explanation:
calculate the like terms
-12+15x+10x
-12+25x
So:
36-48=-12
15x+10x=25x
Answer:
-12+25x
1. A dressmaker whats to make a handkerchief. She has a cloth with a length of 30 cm and 48 cm long.She cuts them into equal lengths. What is the greatest possible length of each cloth?How many handkerchief can she make?
2. Shane has 4 different pens. It is composed of 8 purpl, 16 yellow, 24 blues and 32 pinks. She wants to give it to her cousins. What is the highest possible number of her cousins?What ate the color combinations of pens for each of them? How many pens will they receive?
help me pls
Answers
Answer:
Answer one= 6
Step-by-step explanation:
Problem #1
30 divided by 6 is 6
and 48 divided by 6 is 8
so she/ he can only make 6 full ones
X is less than or equal to 3
x≤3?
correct me if I'm wrong
Answers
Answer:
Yes you are right!!!!!
Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three optio The amount of change is different for the percent increase and the percent decrease. The ratio of the percent increase is not the same as the percent decrease. O The ratio for the percent increase has a smaller denominator than the percent decrease. O The ratio for the percent increase has a different numerator than the percent decrease. The original amount for the percent increase is different from the original amount for the percent decrease.
Answers
Answer:
2. The ratio of the percent increase is not the same as the percent decrease.
3. The ratio for the percent increase has a smaller denominator than the percent decrease.
5. The original amount for the percent increase is different from the original amount for the percent decrease.
Step-by-step explanation:
Answer:
2. The ratio of the percent increase is not the same as the percent decrease.
3. The ratio for the percent increase has a smaller denominator than the percent decrease.
5. The original amount for the percent increase is different from the original amount for the percent decrease.
B,C,E
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 5. If there were 4160 no votes, what was the total number of votes?
Answers
Answer:
The total number of voters was 7488
Step-by-step explanation:
Let us solve this question using the ratio method
∵ The ratio of yes votes to no votes was 4 to 5
∵ There were 4160 no votes
∵ We need to find the total number of votes
∵ The total of the ratio = 4 + 5 = 9
→ By using the ratio method
→ YES : NO : Total
→ 4 : 5 : 9
→ x : 4160 : y
→ By using the cross multiplication
∵ 5 × y = 4160 × 9
∴ 5y = 37440
→ Divide both sides by 5 to find y
∵ [tex]\frac{5y}{5}[/tex] = [tex]\frac{37440}{5}[/tex]
∴ y = 7488
∵ y represents the total number of voters
∴ The total number of voters was 7488