Answer:
Yes, No, YesStep-by-step explanation:
Use the Pythagorean theorem:
a² + b² = c²Verify this for each line:
1.
28² + 45² = 53²2809 = 2809Yes2.
33² + 56² = 64²4225 ≠ 4096No3.
36² + 77² = 85²7225 = 7225YesWhat the solution for CED
Answer:
Step-by-step explanation:
The two adjacent angles must have a sum of 180
CED=180-122
CED=58 degrees
The scatter plot below shows the amount of money Shawn had in the bank on days in the month of January.
Which statement best describes the relationship between the amount of money Shawn had in the bank and the day of the month?
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.
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:
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
Please do not send me a link to the answers I will have u reported but please answer this in feet
Answer:
24.5
Step-by-step explanation:
Find the measurement of angle X
A) 91°
C) 1360
B) 1050
D) 100°
Answer:
I think its B or C
Step-by-step explanation:
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
how does the digit 5 in the number 357 compare with the digit 5 in number 465
Answer:
The digit 5 in 357 is in the tens place while the digit in the number 465 is in the ones place
Step-by-step explanation:
Good luck
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
8p(-3p^2+6p-2) hellpppppppp
-16p was my answer after simplifying it
Answer:
120p - 16p = 104p
Step-by-step explanation:
-3p x -3p = 9p + 6p = 15p x 8p = 120p
8p x -2 = -16p
120p - 16p = 104p
Please wait for more responses if needed thank you.
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
QUESTION 1
1.1
1.1.1 Wiite 2 368 000 in words
1.1.2
Round the following number 864 345,537
1.1.2.1 to the nearest thousand
1.1.2.2 to two decimal places
is -1 equivalent to -3 - (-12)
Answer:
no
Step-by-step explanation:
-1 - (-12)
the two negative signs before the 12 cancel out so it ends up being
-1+12
-1+12=11
11 and -1 are not equal to each other
Answer:
No
Step-by-step explanation:
-3-(-12)=-3+12
-3+12=9
a^2 - 2ab^2 if a = 9 and b = 3
Simplified 1100/2500
Answer:
11/25
Step-by-step explanation:
we can divide both top/bottom by 100, to get 11/25
:)
40 points! Please help me
Answer:
x = 8
y = 14
Step-by-step explanation:
2x + 6 = 4x - 10 (Corresponding angles so they're equal)
2x - 4x = -10 - 6
-2x = -16
x = 8
2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)
2(8) + 6 + 13y - 24 = 180
16 + 6 + 13y - 24 = 180
13y - 2 = 180
13y = 182
y = 14
Answer:
2x+6=4x-10[corresponding angle]
16=2x
x=8
again
2×8+6+13y-24=180°[linear pair]
13y=180+2
y=182/13
y=14
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:
Find the area of the shape shown below.
Answer:
29
Step-by-step explanation:
Answer:
42.5
Step-by-step explanation:
Cut this up and the rectangle at the top has an area of 9*3.5 = 31.5. The triangle in the bottom left corner has an area of 2, the square has an area of 4 and the bottom right triangle has an area of 5.
Add these values up to get 42.5
For the rectangular prism, the length is 3 1/2 inches, and the height is 5 1/2 inches.
What is the width?
Show your work or justify your solution.
Answer:
no answer
Step-by-step explanation:
This is because,before finding the width,length,and height of the block, there should be a stated volume,or some other parameters or properties of the prism must be stated, as such the answer cannot be determined
Answer:
thanks
Step-by-step explanation:
Question 3 of 10
Which statement is not correct?
A. A 100° angle is an obtuse angle.
B. A 175° angle is a reflex angle.
C. The terminal side of a 225° angle is in quadrant III.
D. An 85° angle is an acute angle.
SUBMIT
From the above explanation, the option B statement is not correct.
From the given options we need to identify which statement is not correct.
What is an obtuse angle?An obtuse angle is any angle greater than 90° and less than 180°.
From option A:
100° angle is an obtuse angle, because which is greater than 90° and less than 180°.
From option B:
175° angle is a reflex angle because it is greater than 180° and less than 360°.
From option C:
Less than 90° lies in I quadrant, more than 90° and less than 180° lies in II quadrant and more than 180° and less than 270° lies in III quadrant.
From option D:
An 85° angle is an acute angle because it is greater than 0° and less than 90°.
From the above explanation, the option B statement is not correct.
To learn more about an obtuse angle visit:
https://brainly.com/question/1581660.
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Confusing to me please help......
Hi there!
[tex]\large\boxed{3 \text{ boxes}}[/tex]
Calculate the number of boxes of cubes needed by calculating the volume of the pictured figure.
We can see that it has a width of 4 blocks, depth of 2 blocks, and a height of 8 blocks.
Calculate volume: V = l × w × h
V = 4 × 2 × 8 = 64 cubes in each box.
Since she needs 140 cubes, we can find how many boxes she would need for this amount:
140 ÷ 64 = 2.1875.
However, you cannot buy a part of a box, which is why you must round to a whole number. However, only buying 2 boxes would be too little.
Thus, she would need to buy 3 boxes.
Write an equation for a line perpendicular to y=4x+1 and passing through the point (12,-7).
y =
Answer:
Step-by-step explanation:
y = 4x + 1
Slope of line = 4
Slope of perpendicular to line = -¼
Point-slope equation for line of slope -¼ that passes through (12, -7):
y+7= -¼(x-12)
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
PLEASE HELP 10 POINTS!
which model shows 1/4 ÷ 3?
Answer:
1/4 : 3 = 0.75
0.75 = 3,4
So B is the correct answer.
Part B Walden poses the same question (How many people live in your home, including yourself?) to each person in the house next to his. Based on their responses, he wrote this data set: 5, 5, 5, 5, 5. Question 1 What is the center of this data set?
PLZ answer the question
Answer:
The answer is 5
Step-by-step explanation:
get to the middle of the 5's and that's your answer =>=
Answer:
The answer is 5
Step-by-step explanation:
Choose all that apply!! i’ll give a brainly!!
Step-by-step explanation:
The answer is A
PLEASE FOLLOW ME
How many terms of the series do we need to add in order to find the sum with an absolute value of its error to be less than 0.01?
Answer:
Hello your question is incomplete attached below is the complete question
answer : first 7 terms ( option 3 )
Step-by-step explanation:
Determine the number of terms of the series that is needed to find a sum with an absolute value of its error to be less than 0.001
The number is : 7
attached below is the detailed solution
The segment show below could form a triangle?
True or False
Answer:
False
Step-by-step explanation:
RULE 1 :ANY SIDE OF THE TRIANGLE MUST BE LESS THAN THE SUM OF THE OTHER TWO SIDES
6< 12+5
5<6+12
12<5+6 (this is wrong number 1)
RULE 2: ANY SIDE MUST BE LESS THAN THE SUBTRACTION OF THE SMALLER SIDE AND THE BIGGER SIDE
6>12-5(wrong number 2)
5>12-6(wrong number 3)
12> 6-5
IT ONLY TAKES ONE WRONG TPO PROVE THIS IS NOT CORRECT
PLEASE HELP I WILL MARK YOU BRAINIEST!!