Answer:
c
Step-by-step explanation:
Daniel has a total collection of 200 marbles. 10% of them are red. How many are red marbles in his collection? What is missing in the problem?
Answer:
40(i think)
Step-by-step explanation:
A human resources manager keeps a record of how many years each employee at a large company has been working in their current role. The distribution of these years of experience are strongly skewed to the right with a mean of 333years and a standard deviation of 222 years. Suppose we were to take a random sample of 444employees and calculate the sample mean for their years of experience. We can assume independence between members in the sample.
What is the probability that the mean years of experience from the sample of 444 employees xˉxˉx, with, \bar, on top is greater than 3.53.53, point, 5 years?
Answer:
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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 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]
Distribution of years of experience:
Mean 3, so [tex]\mu = 3[/tex]
Standard deviation 2, so [tex]\sigma = 2[/tex]
Sample of 4:
[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]
What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?
1 subtracted by the pvalue of Z when X = 3.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{3.5 - 3}{1}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Answer:
We cannot calculate this probability because the sampling distribution n ot normal
Step-by-step explanation: Khan academy
their how much will they pay ifame lasts for 4 hours 6 hours or 8 hours
Answer:
There are two equivalent formulas to choose from when solving work-rate problems. If two people are working together on a job then their work rates add and they can perform the job working together in a shorter amount of time. If we let x = the time it takes a person to complete a task then his work rate is 1/x. In other words, he can complete the 1 job in x number of hours. If we let y = the time it takes a second person to complete the task and t = the time it takes for both people working together we get the following work-rate formulas:
49/70 in its simplest form
Answer:
7/10
Step-by-step explanation:
Brainliest?!?!?!?!
Answer: 7/10
Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!
I need help what's the correct answer
Professor Ivy’s students have the following scores on her Exam.
76 88 67 88 91 69 45 92 52 38 98
Find the mean value, round to the tenths place.
Answer:
73.1
Step-by-step explanation:
76+88+88+67+91+69_45_92_52_38_98/11
Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
Answer:
Step-by-step explanation:
p
Step-by-step explanation:
PLS ITS URGENT
Question
LE
Find the measure of 2B. Use the inverse tangent (tan-') function of your calculator. Express your answer
to the nearest degree.
Answer:
43 degrees
Step-by-step explanation:
Using SOHCAHTOA, you are given the opposite and adjacent, the opp being 15 and the adj being 16.
Tan B = [tex]\frac{opp}{adj}[/tex]
Tan B = [tex]\frac{15}{16}[/tex]
B = [tex]tan^{-1}[/tex]([tex]\frac{15}{16}[/tex])
B = 43.15238973 degrees
Therefore, the answer is 43 degrees since you're looking for it to the nearest degree.
Answer:
43 degrees
Step-by-step explanation:
i did the work
Which angle is an alternate interior angle to 8?
Answer:
<5
Step-by-step explanation:
Interior angle Kasi eh hihi
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
An equation is ____=540
The solution is x=____
in figure
85+5n+5n+5n+5f+5n-10=540
20n+80=540
20n= 460
x=23
The length of a rectangle is 4 inches longer than it is wide. If the perimeter is 52 inches, what are the
dimensions of the rectangle?
Answer:
L = 15
W = 11
Step-by-step explanation:
P = 2L + 2W
2L + 2W = 52 Divide each term by 2
2L/2 + 2W/2 = 52/2
L + W = 26 Substitute the value for L
W + 4 + W = 26
2W + 4 = 26
2W = 26 - 4 Subtract 4 from both sides
2W = 22 Divide by 2
W = 22 /2
W = 11
L = W + 4
L = 11 + 4
L = 15
How many terms are in the expression below?
17 – (5n = 4) + 8%
Answer: 4
Step-by-step explanation:
(Can someone please answer my math question)
Emxpress the fractions 3/4, 7/16, and 5/8 with the LCD
Answer: The fractions 3/4, 7/16, and 5/8 with the LCD is 12/16, 7/16, 10/16.
Step-by-step explanation:
HELP ME!!!!!!!!!!!!!!
Answer:
i wanna say it would be 1,735-3%y
help me PLZ LUV YOU ALL
Answer:
1) AB = 10cm
2) 70 degrees
3) 12m
4) 10m
5) 32 degrees
6) 9 + 9 = 18m
What is the solution to x+4y=-1 and 2x + 5y=10??????
Use long division to rewrite 5/8 as a terminating decimal
Answer:
0.625
Step-by-step explanation:
what is 2x2x2x2+2+2+2divitide by 6
Answer:
3.6 repeating or 3 and 2/3
Step-by-step explanation:
I did the work on a calculator.
Answer:
f be it is right
Step-by-step explanation:
okay that is it
What is the opposite of 56?What is the value of –(-4)?
Answer:
-56;+4
Step-by-step explanation:
56 oopposite is -56
-(-4)=+4
Geometry question plz someone help me
600% of what number is 5,580
Answer:
930
Step-by-step explanation:
600% of x = 5580
6x = 5580
x = 5580/6
x = 930
Charlotte used a calculator to subtract.
She copied her answers from the display, but her teacher said her answers were wrong! Tell how Charlotte got each wrong answer.
1. 204.59 – 23.67 = 0.92
2. 936.4 – 15.85 = 77.79
3. 56.3 – 27.04 = 19.26
Answer:
Step-by-step explanation:
1. She omitted the 0 from the minuend, entering 24.59 instead of 204.59
2. She misplaced the decimal point of the minuend, entering 93.64 instead of 936.4
3. She typed 4 instead of 5 in the minuend, entering 46.3 instead of 56.3
-3/4 × = 1/4 need Help to answer this question
Answer:
x = -1/3
Step-by-step explanation:
step one - Simply both sides of the equation
step two - Multiply both side by 4/(-3)
A penguin walks 10 feet in 6 seconds. At this speed:
1. How far does the penguin walk in 45 seconds?
2. How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.
Answer:
1. 75 feet
2. 27 seconds
Step-by-step explanation:
1. If six seconds is equal to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)
2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to 3 seconds then we get 24 + 3 = 27
Natalie earned a grade of 72% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Natalie get wrong?
Answer:56
Step-by-step explanation:
72% of 200= 144
200-143=56
What is 1/7 of 28% of 8,000
Answer:
320
Step-by-step explanation:
A=1/7 * .28 *8000 = 320
Answer: 320
Step-by-step explanation: 1/7*28 of 8000
Determine the missing card value that will result in a product of -324
-6 3 -9
Answer:
-2
Step-by-step explanation:
-324 ÷ -6 ÷ 3 ÷ -9 = 162
-324 ÷ 162 = -2
7 19/22-1 8/11 how do you subtract fractions?
what is the probability that the red shows a six or the green die shows a six?
Answer:
11/36
Step-by-step explanation:
One number is 24 more than the other. What are the numbers if their sum is 84
Answer:
The required numbers are 30 and 54.
Step-by-step explanation:
Let 'x' be the smaller numberLet 'y' be the larger numberGiven that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
so we have two equations
[tex]\begin{bmatrix}y=x+24\\ x+y=84\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=24\\ y+x=84\end{bmatrix}[/tex]
subtracting the equartions
[tex]y+x=84[/tex]
[tex]-[/tex]
[tex]\underline{y-x=24}[/tex]
[tex]2x=60[/tex]
now solve 2x = 60 for x
[tex]2x=60[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{60}{2}[/tex]
Simplify
[tex]x=30[/tex]
For y - x = 24 plug in x = 30
[tex]y-30=24[/tex]
Add 30 to both sides
[tex]y-30+30=24+30[/tex]
Simplify
[tex]y=54[/tex]
Thus, the required numbers are 30 and 54.
Verification:
Given that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
substitute x = 30
y = 30 + 24
y = 54
Thus, y is 24 more than x.
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
sustitute x = 30 and y = 54
30 + 54 = 84
84 = 84
L.H.S = R.H.S
Thus, the sum of the numbers is indeed 84.
Find the value of x. Explain your work please.
Concurrency of Angle Bisectors
Answer:
[tex]x+5=2x-1[/tex]
combine terms
subtract x from both sides and add 1 to both sides
[tex]6=x[/tex]
Answer is A