Answer:
m>3/4
Step-by-step explanation:
Add -13/8 to both sides:
6/8<m
Simplify:
m>3/4
An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The mean lifetime of a random sample of 2000 new bulbs is found to have a mean lifetime of 1201 hours. Although the difference from the old mean lifetime of 1200 hours is quite small, the P-value is 0.03 and the effect is statistically significant at the 0.05 level. If, in fact, there is no difference between the mean lifetimes of the new and old designs, the researcher has:________
a. committed a type 1 error
b. committed a type 2 error
c. a probability of being correct, which is equal to the P-value
d. a probability of being correct, which is equal to 1-(P-value)
Answer:
a. committed a type 1 error
Step-by-step explanation:
The correct option is - a. committed a type 1 error
Reason -
Type 1 error occurs when a true null Hypothesis is rejected
Type 2 error occurs when a false null Hypothesis is accepted
Now,
Let us state that,
The null hypothesis and alternate hypothesis is
H0 : There is no difference between the mean lifetimes of the new and old designs
H1 : There is a difference between the mean lifetimes of the new and old designs
Now,
As there is no difference between the mean lifetimes of the new and old designs.
⇒ The null hypothesis is true.
But p value suggests that null hypothesis should be rejected
∴
We have committed a Type 1 error that is rejecting a true null hypothesis.
So,
The correct option is - a. committed a type 1 error
kaylee Bryant purchased taz software that regularly sells for 74.95 but is on sale for 59.95
Answer:
well that is 15$$ off
Step-by-step explanation:
Pls helppppppp!!!!!!!!!!!
Answer:
part of it is cutted out show a better picture please ill answer it
Step-by-step explanation:
3x6/7 (write in simplest form
Answer:
2 4/7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches. What is the width of frame a and frame b.
Answer:
Frame A width = 6.67 inches
Frame B width = 6 inches
Step-by-step explanation:
WA = width of frame A
WB = width of frame B
(WA)(6.75) = 45
WA = 6.67
(WB)(7.5) = 45
WB = 6
The point (3, −5) is reflected over the x-axis. What are the coordinates of the new point? Group of answer choices
(3,5) is the answer i think
hope it helpss
7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 3.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.)
Answer:
You must survey 784 air passengers.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Assume that nothing is known about the percentage of passengers who prefer aisle seats.
This means that [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.
Within 3.5 percentage points of the true population percentage.
We have to find n for which M = 0.035. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.035\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.035}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2[/tex]
[tex]n = 784[/tex]
You must survey 784 air passengers.
22 is what percent of 40?
what is 35% of 60?
Answer:
Step-by-step explanation:
x% of 40 = 22
(x/100)×40 = 22
x = 22×100/40 = 55
22 is 55% of 40
:::::
35% of 60 = 0.35×60 = 21
Answer:
[tex]\huge\boxed{55\%}\\\boxed{21}[/tex]
Step-by-step explanation:
22 is what percent of 40?
[tex]\dfrac{22}{40\!\!\!\!\diagup}\cdot100\!\!\!\!\diagup\%=\dfrac{22\cdot10}{4}\%=\dfrac{11\cdot5}{1}\%=55\%[/tex]
[tex]p\%=\dfrac{p}{100}\\\\35\%=\dfrac{35}{100}=0.35\\\\35\%\ of\ 60\to \dfrac{35}{100\!\!\!\!\diagup}\cdot60\!\!\!\!\diagup=\dfrac{35\cdot6}{10}=\dfrac{210}{10}=21[/tex]
Amy is 4 years older than April. Together, their age is 24. How old is April and how old is Amy?
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.
.
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help me please :)))))))))))
Answer: Can you pleaes post the pic again it is not clear
Step-by-step explanation:
i am feeling generous so I am giving away points to anyone who answers this easy question what is 10÷x+10×10+x-3x if x=0.111111111
Answer:
189.77777867
Step-by-step explanation:
10/.111111111+10x10+.111111111-3(.111111111)
189.77777867
I know this was just for points but...
Hope this kind of helped if you actually needed the question answered and have a fantastic day C:
m∠1=119∘ and m∠2=61∘.
What is m∠3?
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.
Answer:
K12 answer
Step-by-step explanation:
why is 2 × 3/4 less than 2
Answer:
becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2
Answer:
Is 2/4 smaller than 2/3? These are the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
2/4 = 0.5
2/3 = 0.667
Then, we compare the two decimal numbers to get the answer.
0.5 is less than 0.667.
Therefore, 2/4 is less than 2/3 and the answer to the question "Is 2/4 less than 2/3?" is yes.
i think this will help
a^2 - 2ab^2 if a = 9 and b = 3
1. The standard deviation of sample size of n = 15 is 345 and the mean is 6784. Given that the
population follows a normal distribution, construct a 90% confidence interval estimate of the
mean of the population.
Answer:
The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.761
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.761\frac{345}{\sqrt{15}} = 157[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6784 - 157 = 6627
The upper end of the interval is the sample mean added to M. So it is 6784 + 157 = 6941
The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.
2 × 3² - 5² = ???????????????????????????????????????????????????????????????????????????????
Answer:
I think its -7
Step-by-step explanation:
djjdjejjd
Answer:
-7 is your answer
Step-by-step explanation:
2 × 3² - 5²=18-25=-7
A wooden wagon wheel has 12 equally spaced spokes radiating from the central hub.
Answer: 12 INCHES
Step-by-step explanation:
Let $f(x) = x^3 + 3x ^2 + 4x - 7$ and $g(x) = -7x^4 + 5x^3 +x^2 - 7$. What is the coefficient of $x^3$ in the sum $f(x) + g(x)$?
Answer:
6
Step-by-step explanation:
Adding the two polynomials gives
(x^3 + 3x^2 + 4x - 7) + (-7x^4 +5x^3 + x^2 - 7) =
-7x^4 + (x^3 + 5x^3) + (3x^2 + x^2) + 4x + (-7-7) =
- 7x^4 + 6x^3 + 4x^2 + 4x -14
The x^3 term is 6x^3, so the desired coefficient is 6.
NO LINKS PLEASE and make sure it's correct
Answer:
Communitative Property
Step-by-step explanation:
:P
25 is 32% of what number
Answer:
78.125
Step-by-step explanation:
0.32*x = 25
x = 25/0.32 = 78.125
Answer:
78.125
Step-by-step explanation:
Let the number be Y
32% of Y = 25
32/100 x Y = 25
32Y = 25x100
32Y = 2500
divide both sides by 32
Y = 2500/32
Y = 78.125
分
타
Sin Of = f (m + You
3
Answer:
what do you mean by your question I didn't understand it
In a game involving a standard deck of 52 playing cards, an individual randomly draws 6 cards without
replacement. Let Y be the number of aces drawn.
What type of variable is Y?
Answer: Neither
Step-by-step explanation:
The Ryan family pays 1,347 per month for rent. If there rent doesn't change how much will they pay in dollars for rent over the 30 years.
( will give brainliest if you help)
Answer:
in a span of 30 years, the family would pay $40,410 in rent.
Step-by-step explanation:
you simply multiply $1,347 by 30!
(comment any questions)
Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points. Also suppose that the distribution of IQ's of Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.
Required:
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?
Answer:
0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students
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.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
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 skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
North Catalina:
Population has mean 130 and standard deviation 8 points. Sample of 3. This means that:
[tex]\mu_{N} = 130, s_{N} = \frac{8}{\sqrt{3}} = 4.6188[/tex]
Chapel Mountain:
Population has mean 120 and standard deviation 10 points. Sample of 3. This means that:
[tex]\mu_{C} = 120, s_{C} = \frac{10}{\sqrt{3}} = 5.7735[/tex]
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?
We want that: [tex]N - C > 5[/tex]
Distribution N - C:
The mean is:
[tex]\mu = \mu_N - \mu_C = 130 - 120 = 10[/tex]
The standard deviation is:
[tex]s = \sqrt{s_N^2+s_C^2} = \sqrt{4.6188^2+5.7735^2} = 7.3937[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{5 - 10}{7.3937}[/tex]
[tex]Z = -0.68[/tex]
[tex]Z = -0.68[/tex] has a pvalue of 0.2483
1 - 0.2483 = 0.7517
0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students
Answer this correctly and I will give u brainslist and this is worth 15 points
The answer is A) 60°
Step-by-step explanation:
It's reflecting
Please help me with this problem!
Answer: Yes
Step-by-step explanation:
Solving for the third angle in the left triangle, using the fact that angles in a triangle add to 180 degrees, we get the third angle is 180-50-60=70 degrees.
Thus, the triangles are similar by AA.
If you leave $2300 in an account earning 3% interest, compounded daily, how much money will be in the account after 5 years? (Round your answer to two decimal places.)
Answer:
$2672.20
Step-by-step explanation:
2300(1+(0.03)/(365))^(5*365)
=$2672.20
y
∝
1
√
x
If
y
=
7
when
x
=
64
find,
x
when
y
=
8
Answer:
x = 49
Step-by-step explanation:
This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
Constant, k = 56
Now, to find the value of x when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
5/8(64−96) simplify
☁️ Answer ☁️
-20
Hope it helps.
Have a nice day noona/hyung ￣▽￣
Answer It, Thanks. -3(-100)
Answer: 300
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
If all terms are negative then the result will come out positive.