Answer:
.20
Step-by-step explanation:
take the two digit % and move the decimal two places to the left
Answer: 0.2
Step-by-step explanation: 20/100 is 1/5 and 1/5 means 1 divided by 5 so the answer is 0.2
Standardized tests: In a particular year, the mean score on the ACT test was 22.5 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 526 and the standard deviation was 101. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Core for an ACT score of 16. The z-score for an ACT score of 16 is Jose's ACT score had a -score of . What was his ACT score?
Answer:
The z-score for an ACT score of 16 is -1.23.
His ACT score was of [tex]X = 22.5 + 5.3Z[/tex], considering that Z is his z-score.
Step-by-step explanation:
Z-score:
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.
ACT:
Mean of 22.5, standard deviation of 5.3, so [tex]\mu = 22.5, \sigma = 5.3[/tex]
The z-score for an ACT score of 16 is
Z when x = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 22.5}{5.3}[/tex]
[tex]Z = -1.23[/tex]
The z-score for an ACT score of 16 is -1.23.
Jose's ACT score had a Z-score of Z. What was his ACT score?
This is X, considering Z his z-score. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - 22.5}{5.3}[/tex]
[tex]X - 22.5 = 5.3Z[/tex]
[tex]X = 22.5 + 5.3Z[/tex]
His ACT score was of [tex]X = 22.5 + 5.3Z[/tex], considering that Z is his z-score.
A copy machine makes 44 copies per minute. How many copies does it make in 3 minutes and 45 seconds?
Answer:
in 3 minutes ;
44 × 3 = 132 copies
and 45 soconds;
[tex]45 \: seonds \: = \frac{3}{4} \: mınutes[/tex]
44 × ¾ = 33 copies
132 + 33 copies = 165 copiesHAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ツ
You are traveling from Earth towards the space station at a speed of 1250 km per hour. Your friend is traveling from the space station to Earth at a speed of 500 km per hour. If both of you meet on the way after 20 hours, what is the distance between Earth and the space station?
Answer:
d=35000Km
Step-by-step explanation:
After 20h I traveled for
s1=1250*20=25000Km
My friend
s2=500*20=10000Km
Therefore d=25000+10000=35000Km
-10 degrees Celsius is what Fahrenheit
Answer:
Step-by-step explanation:
i think if its -10 degrees i think the fahrenheit would be 50 degrees
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.
Test H0 : p=0.2 vs Ha : p≠0.2 using the sample results p^=0.27 with n=1003
Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.
Answer:
The value of teh test statistic is [tex]z = 5.54[/tex]
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that the proportion differs from 0.2.
Step-by-step explanation:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]
Using the sample results p^=0.27 with n=1003
This means that [tex]X = 0.27, n = 1003[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.27 - 0.2}{\frac{0.4}{\sqrt{1003}}}[/tex]
[tex]z = 5.54[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0.2 by at least 0.07, which is P(|z| > 5.54), that is, 2 multiplied by the p-value of z = -5.54.
Looking at the z-table, z = -5.54 has a p-value of 0.
2*0 = 0.
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that the proportion differs from 0.2.
Sebastian is going to choose the color pattern
Answer:
use blue red blue red
Step-by-step explanation:
One of the factor of x² +3x+2 is x+1 then the other factor is …..
Hi there!
[tex]\large\boxed{(x + 2)}[/tex]
x² + 3x + 2
We know that x + 1 is a factor, so:
We must find another number that adds up to 3 when added to 1 and multiplies into 2 with 1. We get:
x + 2
(x + 1)(x + 2)
I am a 2 digit number ,my two digit and the sum of my digit are in sequence .what number I am?
Answer:
I don't understand the meaning of question
Isch is taking a class where people say that everyone fails the first exam; however, he got a 93%. Instead of being proud, he thought, It must have been a fluke. Based on this, what can you conclude about Isch
Answer:
is a smart guy and also don't want others to hate him
I need help on this please answer all three of them median range and mode
Answer:
1. median :- 82. mean :- 403. mode. :- 7Step-by-step explanation:
❣️(◍Jess bregoli◍)❣️#keep learning!!At that rate, about how many gallons of milk will they need to purchase in a year’s time?
Give your answer as a whole number.
Answer: 260 gallons
Step-by-step explanation:
We can use a proportion to solve this problem. We know that a family used 15 gallons of milk every 3 weeks. Since the problem asks for how much they will need for a year, we can gather that a year is 52 weeks. We can come up with the following proportion.
[tex]\frac{15}{3} =\frac{x}{52}[/tex] [cross multiply]
[tex]3x=780[/tex] [divide both sides by 3]
[tex]x=260[/tex]
Therefore, they will need to purchare 260 gallons.
Suppose 46% of politicians are lawyers. If a random sample of size 662 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%
Answer:
0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Suppose 46% of politicians are lawyers.
This means that [tex]p = 0.46[/tex]
Sample of size 662
This means that [tex]n = 662[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.46[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{662}} = 0.0194[/tex]
What is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%?
p-value of Z when X = 0.46 + 0.04 = 0.5 subtracted by the p-value of Z when X = 0.46 - 0.04 = 0.42. So
X = 0.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.5 - 0.46}{0.0194}[/tex]
[tex]Z = 2.06[/tex]
[tex]Z = 2.06[/tex] has a p-value of 0.9803
X = 0.42
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.42 - 0.46}{0.0194}[/tex]
[tex]Z = -2.06[/tex]
[tex]Z = -2.06[/tex] has a p-value of 0.0197
0.9803 - 0.0197 = 0.9606
0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%
(2x+3)(5x-8)
10x7€ 16x+158–24
10x2-x-24
Answer:
16X+134
Step-by-step explanation:
the product of ten and the sum of two and a number is five times the number. find the number
Answer:
-4
Step-by-step explanation:
10(2+n)=5n
20+10n=5n
20=-5n
-4=n
The number is n = -4.
What is the product of ten and the sum of two and a number is five times the number?Given: the product of ten and the sum of two and a number exists five times the number.
Let x be the unknown number:
The product of 5 and the sum of two and the number = 10(2+n)
five times the number = 5n
10(2+n) = 5n
Expand 10(2+n) = 20+10n
20+10n = 5n
Subtract 20 from both sides
20+10n-20 = 5n-20
Simplify
10n = 5n-20
Subtract 5n from both sides
10n-5n = 5n-20-5n
Simplify
5n = -20
Divide both sides by 5
[tex]$\frac{5 n}{5}=\frac{-20}{5}[/tex]
n = -4
Therefore, the correct answer is n = -4.
To learn more about algebra
https://brainly.com/question/17427598
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8 9 13. Jenny bought kg of berries from the market and another 3 kg of berries from a fruit stall. How much berries did she buy altogether? 3 3
Answer:
she bought 5 berries in total
Step-by-step explanation:
3+2=5
which linear inequality represents the graph below?
A. y < -1/4x-4
B. y < 4x-4
C. y < -1/4x+4
D. y < -4x+4
I WILL MARK BRAINLIEST PLEASE HELP! This graph represents f(x), and g(x) = -7x + 8.
Which statement about these functions is true?
A.
Function f(x) is increasing, and g(x) is decreasing.
B.
Function f(x) is decreasing, and g(x) is increasing.
C.
Functions f(x) and g(x) are both decreasing.
D.
Functions f(x) and g(x) are both increasing.
Answer:
A
Step-by-step explanation:
ITS OPTION (A)
PLZ MARK ME BRAINLIEST..
If ABC is reflected across the y-axis, what are the coordinates of C?
A. (-8, -4)
B. (8,-4)
C. (-8,4)
D. (4,-8)
Answer:
c....................
The population of a colony of 300 bacteria grows exponentially. After 2 hours, the population reaches 500. How much time will it take for the population to reach 9,600
Answer:
t = 13.56915448 hrs.
Step-by-step explanation:
500 = 300 [tex]e^{2k}[/tex]
5/3 = [tex]e^{2k}[/tex]
ln(5/3) = 2k ln(e)
k = ln(5/3)/2
k= 0.255412812
~~~~~~~~~~~~
9600 = 300 [tex]e^{0.255412812 t}[/tex]
32= [tex]e^{0.255412812 t}[/tex]
ln(32) = [tex]0.255412812 t[/tex] ln(e)
t = ln(32)/0.255412812
t = 13.56915448 hrs.
Write – 90 5/8 as a decimal number.
Answer:
-90.625
Step-by-step explanation:
Answer:
[tex]-90~5/8\\[/tex]
[tex]Decimal=-90.625[/tex]
-------------------------------
~HOPE IT HELP....~
~HAVE A GREAT DAY!!~
PRACTICE
Find and circle the verb to be in the text about
Sean Canty.
2 a Practice the verb to be.
5 b
2. We are
1.1
.... at home.
in the classroom.
3. My father ............. at work now.
4. My grandmother ....... alive.
5. It ............. Saturday today.
1. What
2
-
3. Whe
4. How
5. Wha
2h
jvdhvfggvvvbbbbbbbbb
The fraction
8
produces a repeating decimal.
0.375
O A. True
O B. False
It is false
Step-by-step explanation:
Hope it will help you
a plant grows by 1.67cm in its first week. each week it grows by 4% more than it did the week before. by how much will grow in nine weeks, including the first week?
Answer: Approximately 2.29 cm
Step-by-step explanation:
Week 1 = 1.67 or [tex]1.67(1.04)^{0}[/tex]Week 2 = 1.67 + (1.67 · 4%) = 1.67 + 1.67 · 0.04 = 1.67(1 + 0.04) = 1.67(1.04)¹Week 3 = 1.67(1.04) + [1.67(1.04) · 0.04] = 1.67(1.04)(1.04) = 1.67(1.04)² Week 4 = 1.67(1.04)² + [1.67(1.04)² · 0.04] = 1.67(1.04)²(1.04) = 1.67(1.04)³See a pattern?
Number of week = xPlant growth = [tex]1.67(1.04)^{x-1}[/tex]Week 9 = [tex]1.67(1.04)^{9-1} =1.67(1.04)^{8} =1.67(1.3686)=2.2855[/tex]
The following data represents the serum HDL cholesterol level for a random sample of 40 male 20- to 29-year old patients. 70 56 48 48 53 52 66 48 36 49 28 35 58 62 45 60 38 72 45 51 56 51 46 39 56 32 44 60 51 44 63 50 46 69 53 70 33 54 55 52 a. Please make a stem-and-leaf display of the serum HDL cholesterol distribution. b. Please provide the 5-number summary and the IQR and make a box-and-whisker plot of the data. Using five classes: c. Please find the class width and the upper and lower class limits. Please make a frequency table showing frequencies and relative frequencies. Please draw a frequency histogram. Please upload your picture of all of your work.
The office needs 6 new devices worth $7200. The order consists of new computers (C) which cost $1425 each and printers (P) which cost $750 each. How many of the new devices are computers and how many are printers?
what is the slope of the line plotted below?
Answer:
A, or 0.5
Step-by-step explanation:
1. BasicsSlope formula: Rise/run
([tex]y[/tex]₂[tex]-y[/tex]₁)/([tex]x[/tex]₂[tex]-x[/tex]₁)
2. SolvingPoints: (-4,-4), and (2,-1)
Let's say that (-4,-4) is the first point, and (2,-1) is the second. It doesn't really matter which ones we choose.
[tex]\frac{-1-(-4)}{2-(-4)}[/tex][tex]=\frac{3}{6}=\frac{1}{2} = 0.5[/tex]
A
Hope this helped! Please mark brainliest :)
A three-dimensional object's measurement(s) include which of the following?
Check all that apply.
A. Width
B. Length
C. Height
D. None of these
Answer:
A.
B.
C.
Step-by-step explanation:
all three are used in 3 dimensional objects hence the name 3 dimensions.
suppose you have a bank account earning 6% annual interest rate compounded monthly, and you want to put in enough money so that you can withdraw $100 at the end of each month over a time frame of ten years. calculate how much money you need to start with. show work.
Answer:
maybe 10000
Step-by-step explanation:
Answer:
9007.35
Step-by-step explanation:
First find the effective rate: .06/12= .005
let x= amount
[tex]x=100\frac{1-(1+.005)^{-12*10}}{.005}\\100*\frac{1-.549632733}{.005}\\9007.345333[/tex]
The area of a circle is 3.142cm square.find the radius and diameter of the circle
Answer:
50.24 or 50.272
Step-by-step explanation:
Square radius and then times by 3.14 or 3.142
4^2*3.14 = 50.24
4^2*3.142 = 50.272
Suppose 41% of the students in a university are baseball players. If a sample of 524 students is selected, what is the probability that the sample proportion of baseball players will be greater than 44%
Answer:
"0.0808" is the appropriate response.
Step-by-step explanation:
Given:
n = 524
[tex]\hat{P}[/tex] = 41%
or,
= 0.41
[tex]1-\hat{P}=1-0.41[/tex]
[tex]=0.59[/tex]
[tex]\mu \hat{P}=\hat{P}[/tex]
[tex]=0.41[/tex]
Now,
⇒ [tex]6 \hat{P}=\sqrt{\frac{\hat {P}(1-\hat{P})}{n} }[/tex]
[tex]=\sqrt{\frac{0.41\times 0.59}{524} }[/tex]
[tex]=0.0215[/tex]
[tex]P(\hat {P}>44 \ percent)[/tex]
or,
[tex]P(\hat{P}>0.44)[/tex]
[tex]=1-P(\hat{P}<0.44)[/tex]
[tex]=1-P(\frac{\hat{P}-\mu \hat{P}}{6 \hat{P}} <\frac{0.44-0.41}{0.0215} )[/tex]
[tex]=1-P(z<1.40)[/tex]
By using the standard normal table, we get
[tex]=1-0.9192[/tex]
[tex]=0.0808[/tex]
