Answer:
Step-by-step explanation:
It takes 2 π 2\pi 2π radians (a little more than 6 radians) to make a complete turn about the center of a circle. This makes sense, because the full circumference of a circle is 2 π r 2\pi r 2πr , or 2 π 2\pi 2π radius lengths.
Karl has 5 pounds of flour to bake cookies. Each batch of cookies uses 13 pound of flour. After Karl bakes 7 batches of cookies, how much flour does Karl have left?
If the last interval contains 10 out of 50 items, what is the relative frequency of the last class interval?
Answer:
The relative frequency of the last class interval is 0.2.
Step-by-step explanation:
Relative frequency:
The relative frequency of an interval is the size of the interval divided by the total size of the sample.
10 out of 50 items:
So the relative frequency is:
10/50 = 0.2
The relative frequency of the last class interval is 0.2.
Marta walked at 4.7 miles per hour for 0.83 hours. How far did she walk?
We know that the length of time required for a student to complete a particular aptitude test has a normal distribution with a mean of 41.0 minutes and a variance of 3.4 minutes. What is the probability, rounded to four decimal places, that a given student will complete the test in more than 35 minutes but less than 43 minutes?
Answer:
0.6832 = 68.32% probability that a given student will complete the test in more than 35 minutes but less than 43 minutes
Step-by-step explanation:
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.
Mean of 41.0 minutes and a variance of 3.4 minutes.
This means that [tex]\mu = 41, \sigma = 3.4[/tex]
What is the probability, rounded to four decimal places, that a given student will complete the test in more than 35 minutes but less than 43 minutes?
This is the p-value of Z when X = 43 subtracted by the p-value of Z when X = 35.
X = 43
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{43 - 41}{3.4}[/tex]
[tex]Z = 0.59[/tex]
[tex]Z = 0.59[/tex] has a p-value of 0.7224
X = 35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 41}{3.4}[/tex]
[tex]Z = -1.76[/tex]
[tex]Z = -1.76[/tex] has a p-value of 0.0392
0.7224 - 0.0392 = 0.6832
0.6832 = 68.32% probability that a given student will complete the test in more than 35 minutes but less than 43 minutes
Which expression is equivalent to
Answer:
x^6
Step-by-step explanation:
please help, the answer below is a option but i need a answer for the question
Answer:
12 units^2
Step-by-step explanation:
Use the Pythagorean theorem to solve for the missing side
Answer:
13
Step-by-step explanation:
a2+b2=c2
12^2+5^2=c^2
144+25=169
square root of 169
13
The probability that the patient recovers from a rare deadly disease is 40% and failure to recover is 60%.If 15 people contracted this disease what is the probability that a. 5 will survive? b. 8 will survive? c.12 will survive?(complete solution)
Answer:
a) 0.1859 = 18.59% probability that 5 will survive.
b) 0.1181 = 11.81% probability that 8 will survive.
c) 0.0016 = 0.16% probability that 12 will survive.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they survive, or they do not. The probability of a patient surviving is independent of any other patient. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that the patient recovers from a rare deadly disease is 40%
This means that [tex]p = 0.4[/tex]
15 individuals
This means that [tex]n = 15[/tex]
a. 5 will survive
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.4)^{5}.(0.6)^{10} = 0.1859[/tex]
0.1859 = 18.59% probability that 5 will survive.
b. 8 will survive
This is P(X = 8). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{15,8}.(0.4)^{8}.(0.6)^{7} = 0.1181[/tex]
0.1181 = 11.81% probability that 8 will survive.
c.12 will survive
This is P(X = 12). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 12) = C_{15,12}.(0.4)^{12}.(0.6)^{3} = 0.0016[/tex]
0.0016 = 0.16% probability that 12 will survive.
GIVING OUT BRAINLIEST ANSWERR HELP ME QUICK PLLSSSSS ITS ALMOST DUE HELPP !!!
Answer:
Yes, because they add up to 360
Step-by-step explanation:
Find the volume of the rectangular prism
Answer:
210cm
Step-by-step explanation:
Hope this helps
URGENT this is a question on my precalculus test I need help on. Thank you so much
Answer:
a. 5i + 13j
b. 8i
c. 10i + 6j
Step-by-step explanation:
a. 2i + 6j + 3i + 7j = 5i + 13j
b. 3i + 7j + 5i - 7j = 8i
c. 2i + 6j + 3i + 7j + 5i - 7j = 10i + 6j
Which equation of a line is parallel to the graph of y = 3x -5 and passes through the point
(1,5)?
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Is the claim in the advert true?
[4 marks]
Answer:
www.imsorryineedpoints.org
What is the midpoint of a line segment with endpoints at (2, 3) and (4,5)
Answer:
(3, 4)
Step-by-step explanation:
First, find the x coordinate of the midpoint by finding the average of the two x values:
(2 + 4) / 2
6 / 2
= 3
Find the y coordinate of the midpoint by finding the average of the two y values:
(3 + 5) / 2
8 / 2
= 4
So, the x coordinate of the midpoint is 3 and the y coordinate is 4.
The midpoint is (3, 4)
Plz help me with this ❤
Answer:
? is 51°
Step-by-step explanation:
(65 + ?)/2 = 58
Solve for ?
? = 51
Which expression is equivalent to (see the picture)
A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6
If OB = 6 and AB = 8, then EA
Answer:
what is that means i think it's better to ask by take a picture
Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
Grace
800, 400, 200, 100, 0, 0
Every number in the pattern will have a 0 or a 5 in its ones place.
Every number in the pattern will have a 0 or a 5 in its tens place.
Every number in the pattern will have a 0 in its ones place.
Every number in the pattern will have a 0 in its tens place.
Done -
Answer:tbh
Step-by-step explanation:
and\
What’s the answer (no link I give brainly)
Answer:
the answer is A
Step-by-step explanation:
I had the same question and I got it correct
In 2002, the manufacturers of M&M's surveyed people from around the world and asked them to vote for a new color: purple, aqua, or pink. In the United States, 42% of those who voted said purple, 37% said aqua, and 19% said pink. What's the probability that a randomly picked survey respondent from the United States preferred purple or pink?
Answer:
don't know
Step-by-step explanation:
dont know...........
Please help what does A equal
Answer:
a = 23 degrees (brainliest?)
Explanation:
supplementary line is 180 degrees
180 - 157 = 23
Consider the points plotted on the number line shown below
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 = 0.25 vs Ha: p < 0.25 using the sample results p(hat) = 0.15 with n = 102
Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.
Answer:
Test statistic = - 2.33
Pvalue = 0.010 (3 decimal places)
Step-by-step explanation:
Given :
H0: p = 0.25 vs Ha: p < 0.25
Phat = 0.15
Sample size, n = 102
α = 0.05
The test statistic :
(Phat - p) / (√p(1 - p) /n)
1 - p = 1 - 0.25 = 0.75
(0.15 - 0.25) / (√0.25(0.75) /102)
-0.1 / √0.0018382
-0.1 / 0.0428742
Test statistic = - 2.33
The Pvalue using the test statistic score obtained :
P(Z < - 2.33) = 0.0099031 = 0.010
Pvalue < α ; Reject H0
Home pregnancy tests, like all medical tests, are not perfectly accurate. Suppose one such test has an accuracy level such that if a woman is pregnant there is a 12% chance that the test will fail to show it. On the other hand, if the woman is not pregnant there is still a 3% chance that the test will incorrectly say that she is. Show all the steps including identification of what formulas/properties you used. Points will be deducted from answers if only the final answer is provided.
a) If Joan is pregnant what is the chance that the test will detect it?
b) Based on other factors, Joan estimates there is an 80% chance that she is pregnant.
Therefore, Joan takes a pregnancy test. What is the probability that the test will indicate that she is pregnant?
c) Joan looks at the test result and it does indicate that she is pregnant. Given this test result, what is the probability that she is pregnant?
d) Pamela has also taken this particular home pregnancy test. Before taking the test, she estimated there was a 75% chance that she
Answer:just go to the doctor
Step-by-step explanation:
Can someone please tell me what 597 ➗ 5 is
Answer:
119.4
Step-by-step explanation:
Big Brain Dude <:
A recipe calls for 72 fluid ounces of light whipping cream. If Anthony has 4.5 pints of whipping cream in his refrigerator, does he have enough for the recipe ? PLEASE ANSWER IMMEDIATELY PLEASE
Answer:
Yes, he has enough
Step-by-step explanation:
1 pint = 16 onces
4.5 * 16 = 72
Yes, he has enough
Without using the formula, work out the gradient of the graph shown.
Give your answer in its simplest form.
9514 1404 393
Answer:
3/4
Step-by-step explanation:
The x- and y-intercepts are -4 and +3, respectively. These indicate a rise of 3 units for a run of 4 units. The gradient is the ratio of rise to run (sorry, that is the formula), so is ...
gradient = 3/4
Please help me with this answer
9514 1404 393
Answer:
x = 12∠H = 94°Step-by-step explanation:
The marked angles are supplementary, so ...
(5x +26)° +(8x -2)° = 180°
13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24
x = 12 . . . . . . . . . . . divide by 13
∠H = (8x -2)° = (8·12 -2)°
∠H = 94°
if anyone can help with just one that would be amazing.
Answer:
8. h( f(x) ) = x²+14x+52
9. h( g(x) ) = 2x
Step-by-step explanation:
These questions are asking you to sub a function into another, and you solve by doing that the same way you would with a number. For example, if question 8 was h(3) instead of h(f(x)), you would sub 3 into h(x) wherever you saw an x, and evaluate. It's the same idea here, just with functions.
8.
h(x)=x²+3
h( f(x) ) = ( f(x) )²+3
h( f(x) ) = ( x+7 )²+3
h( f(x) ) = ( x²+14x+49 )+3
h( f(x) ) = x²+14x+52
9.
h(x)=x²+3
h( g(x) ) = ( g(x) )²+3
h( g(x) ) = ( [tex]\sqrt{2x-3}[/tex] )²+3
h( g(x) ) = (2x-3)+3
h( g(x) ) = 2x
Consider this data set.
13, 17, 21, 3, 14, 34, 22, 20, 16, 19, 15
Which data values are outliers?
Select each correct answer
3
13
15
34
Answer:
3 and 34
Step-by-step explanation:
they are the extremes in this, you want to look for out of place numbers when dealing with outliers