Using the normal distribution, we find that 32% of the data that is less than 150 or greater than 190.
----------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
----------------------------
The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20.
This means that [tex]\mu = 170, \sigma = 20[/tex]
----------------------------
Less than 150:
As a proportion, it is the p-value of Z when X = 150, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 170}{20}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.16.
0.16x100% = 16%
----------------------------
More than 190:
As a proportion, it is 1 subtracted by the p-value of Z when X = 190, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{190 - 170}{20}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84.
1 - 0.84 = 0.16
0.16x100% = 16%
----------------------------
Estimate the percent of the data that are less than 150 or greater than 190.
We add both percentages, thus:
16% + 16% = 32%
32% of the data that is less than 150 or greater than 190.
A similar question is given at https://brainly.com/question/14694610
10×2+5÷2
its so easy
Answer:
10×2+ 5÷2
=20+2.5
=22.5
o The day before the exam, Rebecca does a practice run. She attempts 20 glass vases and breaks 3 of them. What is her success rate, shown as a decimal?
Answer:
If the goal is to break the vases: 3/20 = 15.0% or 0.15
If the goal is to not break the vases: 17/20 = 85.0% or 0.85
A small town has six police cars. When a call comes in, the dispatcher may dispatch no cars, one car, two cars, three cars, four cars, five cars, or all six cars. If a call is received, how many ways may the dispatcher respond?
Answer:
7 Ways
Step-by-step explanation:
Have a Nice Day!
Answer:
64 ways
Step-by-step explanation:
Basic possibility table/using math, and calculating
I really need help!
Mercury is 3.6 x 10^6 miles from the sun. Pluto is 3.6 x 10^9 miles from the sun. how many times farther from the sun is pluto than mercury? Answer written in scientific notation.
Thank you!
Answer:
[tex]3.6 * 10^{3} \\\\[/tex]
Step-by-step explanation:
what is axis of symmetry?
Answer:
The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.
Step-by-step explanation:
Answer:
Step-by-step explanation:
An axis of symmetry is a line that cuts your graph into two equal parts. In other words, the graph is symmetric about the line.
Which triangles are similar to triangle ABC ?
Answer:
The answer is A
Step-by-step explanation:
Triangle DEF was rotated and dilated so that's why is looks different than triangle ABC, but it maintained the same shape that is presented in ABC and that is why A is the answer.
Plzzzzzzzzzzzzzzzz help me I’ll mark you brainlist
Answer:
Ewan?1234567891011121314151617181920
Answer:
No clue at all. ?
Step-by-step explanation:
I don’t understand this...I’ve tried reading for answers, but this question stumps me. Please help!
Answer:
x=1, y=-5
Step-by-step explanation:
4(1)+2y=-6
2y=-10
y=-5
or
-3x-2(-5)=7
-3x=-3
x=1
Hope this helps!
Xander needs to collect at least 180 cans for a food drive to earn community service credit. He has already collected 64 items. describe in words
Chris can drive 41 miles for every 3 gallons of gas. At this
rate, how many gallons of gas will he need to travel to his
in-laws' house, 369 miles away?
Answer:
27 gallons
Step-by-step explanation:
If for every 41 miles, 3 gallons are needed. Using what we know, 369 ÷ 41 = 9. This means, to get 369 miles, we need to times the first amoiyng of gallons needed to drive 41 miles, which is 3, and times it by 9. (3×9=27) Therefore, 27 gallons of gas is needed.
PLEASE HELP
what is an expression equivalent to (x4y3y)2 in the form xmyn.
Answer:
x^8 y^8
did you mean (x^4 y^3 y)2 or just (x4y3y)2
Sorry did you submitted it yet?
If the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of xmyn is, x⁸y⁸.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is,
(x⁴y³y)²
Keep the base constant and add the exponents when multiplying similar bases. Maintaining the same base while multiplying the exponents will raise a base with power to another power. When dividing two bases with similar exponents, keep the exponents of the numerator and denominator constant.
We have to represent the given expression in the form of [tex]\rm x^m y^n[/tex].
We use the expression identity as,
[tex]x^m \times x^n = x^{m+n}[/tex]
[tex]\rm = (x^m)^n \\\\ = x^{mn}[/tex]
=(x⁴y³y)²
First, solve the term present in the bracket as,
=(x⁴y⁴)²
Open the bracket we get,
=(x⁴)²(y⁴)²
=x⁸y⁸
Thus, if the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of [tex]\rm x^m y^n[/tex] is, x⁸y⁸.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Biology A bald eagle snatches a fish from a lake and Mies to an altitude of 256 it.
The fish manages to squirm free and falls back down into the lake. Its height in
feet can be modeled by h(1) - 256 - 167, where is the time in seconds. How many
seconds will the fish fall before hitting the water?
Answer: Its height h in feet can be modeled by h(t) = 256 – 16t2, where t is the time in seconds.
Step-by-step explanation:
Its height h in feet can be modeled by h(t) = 256 – 16t2, then like i said t is the time in seconds may be marked brainliest
Zoe is calculating the volume of this rectangular prism.

Zoe calculates the volume as 16 cubic units because 8 units long + 5 units high + 3 units wide = 16 cubic units. Which of the following describes the mistake Zoe made in her calculation?
Zoe is wrong because she calculated the volume 8 + 5 + 3 = 16 instead of 8 × 5 + 3 = 43.
Zoe is wrong because she added all the dimensions instead of only adding the length and width.
Zoe is wrong because she calculated the volume 8 + 5 + 3 = 16 instead of 8 + 5 – 3 = 10.
Zoe is wrong because she added all the dimensions instead of multiplying all the dimensions.
It’s the last one :)
Jenny has read 193 books from the library
cookbook section. If this is 64% of the cookbook
section, how many books are in the entire
cookbook section?
A. 240
B. 300
C. 160
D. 64
Answer:
B. 300
Step-by-step explanation:
Let's take the entire number as 'x'
according to the question,
x * 64% = 193
x * 64/100 = 193
x * 64 = 193 * 100
x = 19300/ 64
x = 301.5
round down to 300
WITH STEPS PLEASE CAN YOU HELP
how do you find lateral surface area
Answer: This lateral surface area can be calculated by multiplying the perimeter of the base by the height of the prism. For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder: A = 2πrh.
Step-by-step explanation:
Direct mail advisors send notifications to thousands of potential customers in the hope that summer by the company's product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and send it to 1060 people randomly selected from their mailing list of over 200,000 people. They get orders from 110 of those people.
A) Create a confidence interval for the percentage of people to company contracts
who may buy something
Create a 90% confidence interval for the percentage of people the company contacts who may buy something.
Answer:
CI = (8.84%, 11.92%)
We are 90% Confident that the percentage of people the company contacts who may buy something is between 8.84% and 11.92%.
Step-by-step explanation:
We are given;
n = 1060
x = 110
Confidence level = 90%
Sample proportion; p^ = x/n = 110/1060
p^ = 0.1038
DF = n - 1 = 1060 - 1 = 1059
From the table attached, the critical value for a confidence level of 90% at a DF greater than 1000 is 1.645
Formula for CI is;
CI = p^ ± t√(p^(1 - p^)/n)
CI = 0.1038 ± 1.645√(0.1038(1 - 0.1038)/1060)
CI = 0.1038 ± 0.0154
CI = (0.0884, 0.1192) or
CI = (8.84%, 11.92%)
Thus, we are 90% Confident that the percentage of people the company contacts who may buy something is between 8.84% and 11.92%.
Problem of the week, provide step-by-step please!
Answer:
Step-by-step explanation:
The smallest perfect square that has three different prime numbers as factor is 900
900 = 30 * 30
Factors = 2² * 3² * 5² = 900
PLZ HELP 3 MINUTES LEFT WIL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
question where it at ㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤㅤ ㅤㅤ ㅤ ㅤ ㅤ ㅤ
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
Second one
Step-by-step explanation:
Answer:
C. A 90° clockwise rotation about the origin
How many 3 digit numbers can be constructed from the digits 3 4 5 6 7
Answer:
60 numbers
Step-by-step explanation:
3 4 5 6 7
for everything starting with 3
345
346
347
354
356
357
364
365
367
376
375
374
we know the results will be the same
there was 12 numbers in that sequence
theres 4 other numbers it could start with
12 + (12x4) = 12x5
60
Please look at the attached picture to answer the following question. Statement # ? is incorrect. Correct the statement:
What is the radius of a hemisphere with a volume of 81449 ft, to the nearest tenth
of a foot?
Answer:
44
Step-by-step explanation:
from SMALLEST to LARGEST: 1/4", 3/4", 12", 1/8", 3/8 5/8”
Answer:
1/8", 1/4", 3/8", 5/8", 3/4", 12"
Step-by-step explanation:
First, make all of the fractions have similar denominators. We'll use eighths.
1/4 = 2/8
3/4 = 6/8
The rest are either whole numbers or already have a denominator of 8.
2/8, 6/8, 12, 1/8, 3/8, 5/8.
Rearrange.
1/8, 2/8, 3/8, 5/8, 6/8, 12.
Now we take the fractions we converted, and change them back to their original form. Then we'll have the answer.
1/8, 1/4, 3/8, 5/8, 3/4, 12.
---
hope it helps
-7x+4y=32
-5x-2y = -16
elimination method explain please
Answer:
(0,8)
Step-by-step explanation:
-7x+4y=32
-10x-4y=-32
-17x=0
x=0
-5×0-2y=-16
y=8
(0,8)
what is one-tenth of 0.90?
Answer:
0.09
Step-by-step explanation:
What is the volume of the figure?
Write an expression to m + m + m + m that is the sum of two terms
Answer: 2m + 2m
Step-by-step explanation: m + m is 2m and the same for the other two m's which is why m + m + m + m is 2m + 2m
Answer and Step-by-step explanation:
The obvious answer to this question is 2m + 2m, or 3m + m.
These expressions show two terms that can be added together.
#teamtrees #PAW (Plant And Water)
I see a Dreamer over there by the water.
twitch.tv/Tommyinnit
Melissa bought 2 shirts and 3 skirts and spent between $45 and $60. Each shirt costs the same amount. Each skirt costs the same amount. The price of a shirt is $12. What is the least amount Melissa could have spent on a skirt? What is the most Melissa could have spent of a skirt?
Answer:
Least is 7
Most is 12
Step-by-step explanation:
So 2 shirts for 12.
So 24
Take 24 off of both
Left with 21 to 36
21÷3 is 7
36÷3 is 12
Hope this helps
Answer:
least - $7
most - $12
Explanation:
if the price of a shirt is $12, she must have spent at least $24 on the shirts in total.
the least amount melissa could have spent on a skirt is:
($45 - $24) ÷ 3 = $7
and the most she could have spent is:
($60 - $24) ÷ 3 = $12
i hope this helps! :D
[tex] \sqrt[3]{4( \sqrt[3]{6 + \sqrt[3]{10)} } } [/tex]
Answer: 77824
Step-by-step explanation: