Answer:
The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.
Step-by-step explanation:
Typically there are about 52 such attempts noted each day. Test if there has been a statistically significant increase.
At the null hypothesis, we test if the mean is the same, that is of 52. Thus:
[tex]H_0: \mu = 52[/tex]
At the alternative hypothesis, we test if there has been an increase, that is, if the mean is greater than 52. So
[tex]H_1: \mu > 52[/tex]
Use the standard level for alpha.
So [tex]\alpha = 0.05[/tex]
The test statistic is:
We have the standard deviation for the sample, so t-distribution.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
52 is tested at the null hypothesis:
This means that [tex]\mu = 52[/tex]
Over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2.
This means that [tex]n = 30, X = 57, s = 17.2[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{57 - 52}{\frac{17.2}{\sqrt{30}}}[/tex]
[tex]t = 1.59[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 57, which is a right-tailed test with t = 1.59 and 30 - 1 = 29 degrees of freedom.
Using a t-distribution calculator, this p-value is of 0.0613.
The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.
Which is a simplified form of the expression -4(n + 1) – (n + 2)?A.2n + 3B.-3n – 2C.-4n – 5D.-5n – 6
the answer is d. -5n - 6 :)
Max has 4/5 qt of apple juice. He drinks 1/2 qt of it. How many apple juice does he have left? (Give your answer in quarts)
Instructions: Find the area of the sector. Round your answer to the nearest tenth.
Can some one help please.
Answer:
[tex]area = \frac{30}{360} \times \pi(17)^{2} \\ =75.66002307395 \\ = 76in ^{2} [/tex]
If X + Y means X is the brother of Y, X - Y means X is the sister of Y, and X * Y means X is the father of Y, then which of the following means that C is the son of M?
(1) M-N * C + F
(2) F-C + N * M
(3) N +M-F * C
(4) M * N-C + F
(5) M-N+F * C
Answer:
4
Step-by-step explanation:
Based on this question, addition means the first number is the brother of the other, subtract means the first number is the sister of the other and multiplying means the first number is the father of the other.
We see 4 is literally multiplying M by N-C, meaning N is the sister of C and M is the father of N and C.
Which of the following is equivalent to the expression log3(a5bc2)?
A. (log35a)(log3b)log32c
B. (5log3a)(log3b)2log3c
C. log35a+log3b−log32c
D. 5log3a+log3b−2log3c
Answer:
10log10(3)abc
The equivalent expression for the log function log3(a^5bc^2) is 5log3a+log3b−2log3c
Logarithmic functionsLogarithmic functions are expressed as the inverse of exponential functions.
Given the logarithmic expression
log3(a^5bc^2)
Since product are written in form of addition, hence;
log3(a^5bc^2) = log3(a^5) + log3(b) + log3(c^2)
The power will be carried to the back of the log function;
log3(a^5bc^2) = 5log3(a) + log3(b) + 2log3(c)
This gives the equivalent expression for the log function log3(a^5bc^2)
Learn more on logarithmic expression here: https://brainly.com/question/25710806
What is the answer?
Answer:
2.- 8.0 in.
Step-by-step explanation:
8.1 in
Step-by-step explanation:
A^2+B^2=C^2
49+16= 65
square root of 65≈8.06
round up to 8.1
Let's start! Take a look at all of these blocks. You can reach the number 10 by adding the blocks in many different ways. BUT, what is the LEAST number of blocks you need to add together in order to reach the number 10?
Answer:
the answer is 2. (6 and 4)
Step-by-step explanation:
6 + 4 = 10
what is the mean mark of 847 ÷ 30?
Answer:
Step-by-step explanation:
PLS HELP ASAP !!! PLSSS !!
Answer:
74
Step-by-step explanation:
the lines r parallel and the angle on the same side
Answer:
74°
Step-by-step explanation:
..........................
what’s the answerrr..........
Answer:
D.90
the answer is 90 because it only flips once
1. Let ()=−(+2)2(+)3(−5)(−3)2(+6)3.
A. Let D= 10. Create a sign chart to solve ()≥0 with this value for D. Write your solution in interval notation. Solutions without sign charts will receive a score of zero.
C. Let D= -3. Create a sign chart to solve ()≥0 with this value for D. Write your solution in interval notation. Solutions without sign charts will receive a score of zero.
In recent years, business failures in the United States numbered 63509. The chemical industry accounted for 9499 of these business failures. The Mid-West states accounted for 7900 of the business failures. Suppose that 1270 of all business failures were chemical businesses located in the Mid-West. A failed business is randomly selected from this list of business failures. What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West
Answer:
0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Failed business in the Midwest.
Event B: Chemical industry.
Probability of failed business being in the Mid-West:
7900 out of 63509. So
[tex]P(A) = \frac{7900}{63509}[/tex]
Probability of a failed business being a chemical industry in the Mid-West.
1270 out of 63509. So
[tex]P(A \cap B) = \frac{1270}{63509}[/tex]
What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{1270}{63509}}{\frac{7900}{63509}} = \frac{1270}{7900} = 0.1608[/tex]
0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.
How many inches are there in 3 yards?
A. 108 in.
B. 96 in.
C. 72 in.
D. 48 in.
Answer:
108
Step-by-step explanation:
3 yards equal 9 feet and 1 foot equals 12 inches so that means do 12 x 9 and you get 108
The correct option is A.
How to convert feet to yards?Feet ÷ 3 = 1 yards. yard is 3 feet long, so all you have to do is divide the number of feet by 3 to get the number of yards for your measurement
We know that,
1 feet is equal to 12 inches.
1 feet = 12 inches.
1 yard = 36 inches.
3 yards = 36 × 3 = 108 inches.
3 yards = 108 inches.
Therefore, 108 inches are there in 3 yards.
Learn more about yard and inches here:
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I need help??????????????
Answer:
f(n) = 4n + 16
Step-by-step explanation:
n is the nth number in the sequence
plug in the first 3 to check the rule:
4(1) + 16 = 4 + 16 = 20
4(2) + 16 = 8 + 16 = 24
4(3) + 16 = 12 + 16 = 28
it works
A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to determine if the die is fair. The data below are the result of the 120 rolls. (Enter exact numbers as integers, fractions, or decimals.)
Face Value Frequency Expected Frequency
1 14 ?
2 33 ?
3 15 ?
4 14 ?
5 30 ?
6 14 ?
Required:
a. State the null hypothesis.
b. State the alternative hypothesis.
c. What are the degrees of freedom?
Answer:
Die is not fair given that Pvalue< 0.05, hence we reject Null hypothesis
a) H0: Die = fair
b) Ha : Die ≠ fair
c) df = 5
Step-by-step explanation:
The expected frequency of every face values = 20
a) state Null hypothesis
H0: Die = fair
b) Alternate Hypothesis
Ha : Die ≠ fair
c) degree of freedom
df = ( n - 1 )
= ( 6 - 1 ) = 5
n = sample size ( number of faces a die has )
Note : After conducting hypothesis test
Pvalue ≈ 0.0026
test statistic ≈ 18.30
Hence we can conclude that die is not fair given that Pvalue < 0.05, hence we reject Null hypothesis
Substitute the isolated variable into the second equation. I need help with this, i don’t understand.
Answer:
Step-by-step explanation:
Substitute the value for y or x into the equation thats listed with it.
For the first one, substitute 3 in place of y.
3x + 6 y = 60 turns into
3x + 6 * 3 = 60
3x + 18 = 60
3x = 60-18
3x = 42
x = 42/3
x = 14
Apply the same to the other equations
10x + 4y = 70 turns into
10 * 5 + 4y = 70
Then solve for y
please answer this , like ASAP
Answer:
let total be U and strawberry be S and.apple be A .
now
n[U]=200
n[S]=56% 0f 200=112
n[A]=44%of 200=88
n[A n S]=30%of 200=60
now
[tex] \bar {A U S}=?[/tex]
we have
n[U]=n[A] +n[B]-n[ A n B]+[tex] \bar{A U S}[/tex]
[tex] \bar{A U S}[/tex]=200-112-88+60=60
option C. 60 is a required answer.
Hope this help!!!
Have a nice day!!!
it would be nice if anyone could help
========================================================
Explanation:
Focus on the upper semicircle. It's composed of the arc pieces that are 30 degrees, x degrees, and y degrees. The y is the missing unmarked portion of the upper semicircle.
Subtract the 30 and y degree angles, divide by 2, and set that result equal to 10. This will help us solve for y
(30-y)/2 = 10
30-y = 10*2
30-y = 20
-y = 20-30
-y = -10
y = 10
Because the 30, x and y arcs form a semicircle, this must mean the three arcs add to 180 degrees
30+x+y = 180
30+x+10 = 180
x+40 = 180
x = 180-40
x = 140
What is the area of triangle in centimeters squared?
The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.55 oz. Suppose we take a random sample of 56 bottles filled by this machine. So, 75% of the sample means will be less than what value
Answer:
0.9836
Step-by-step explanation:
the perimeter of a rectangle is 40 feet. if the lenght is 15 feet, 6 inches, what is the width
Someone help me please
whats the square root of 9 over 16
Answer:
± [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{\frac{9}{16} }[/tex] = [tex]\frac{\sqrt{9} }{\sqrt{16} }[/tex] = ± [tex]\frac{3}{4}[/tex] ← note plus or minus
Answer:
3/4
Step-by-step explanation:
The square root of 9 is 3 and the square root of 16 is 4 so you get an answer of 3/4.
Hope it helps
PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
perpendicular, negative reciprocal
Step-by-step explanation:
a negative and a positive slope. 1/5 is the opposite of 5
Find the point-slope equation for the line that passes through the points (2, 1) and (-2, 5). Use the first point in your equation.
Answer:
y = -x +3
Step-by-step explanation:
first find the slope
m = (y2-y1) / (x2-x1)
m = (5-1) / (2--2) = -1
note that it does not matter which points you chose to be second or first
use point-slope equation
y - y1 = m ( x - x1 )
y - 1 = -1 ( x - 2)
y = -x +2 + 1
y = -x +3
please if you find my answer helpful mark it brainiest
Answer:
y=-x+3
Step-by-step explanation:
Gradient(m)= y1-y2÷x1-x2
=1-5÷2-(-2)
=-4÷4
=-1
therefore m= -1
y-y1=m(x-x1)
y-1=-1(x-2)
y=-x+2+1
y=-x+3
How many milliliters are equal to 4 liters?
Answer:
4000 millilitres
Step-by-step explanation:
======================================
Work Shown:
1 liter = 1000 mL
4*(1 liter) = 4*(1000 mL)
4 liters = 4000 mL
If x-12y=-210and x-6y=90 then x =
Answer:
90
Step-by-step explanation:
x
−
12
y
=
−
210
=
=
−
210
x
−
6
y
=
90
=
=
90
x
=
=
90
Po is an oncologist with seven patients in their care. the probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82. what is the probability that four of the patients are still alive after five years?
Answer:
0.0923 = 9.23% probability that four of the patients are still alive after five years.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they are still alive after five years, or they are not. The probability of a patient being alive is independent of any other patient, which 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.
Po is an oncologist with seven patients in their care.
This means that [tex]n = 7[/tex]
The probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82.
This means that [tex]p = 0.82[/tex]
What is the probability that four of the patients are still alive after five years?
This is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{7,4}.(0.82)^{4}.(0.18)^{3} = 0.0923[/tex]
0.0923 = 9.23% probability that four of the patients are still alive after five years.
the premeter of a rectangle is 326cm and its lenght is 98cm find its breath and area
Perimeter = 2(length+breadth)
326= 2(98+b),
breadth= 65 cm
Area of rectangle = l×b = 98×65= 6370cm²
What is the same as 4/8
Answer:
1/2 or 2/4 or 8/16 or 16/32....
Step-by-step explanation:
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.12 and the probability that the flight will be delayed is 0.08. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining if the flight leaves on time? Round your answer to the nearest thousandth.
Answer:
0.109 = 10.9% probability that it is raining if the flight leaves on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Conditional probability:
Event A: Leaves on time
Event B: Raining
Probability that the flight will be delayed is 0.08.
So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]
The probability that it will not rain and the flight will leave on time is 0.82.
0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:
[tex]P(A \cap B) = 0.1[/tex]
What is the probability that it is raining if the flight leaves on time?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]
0.109 = 10.9% probability that it is raining if the flight leaves on time.