Answer:
False, the first percentile is less than 22 hours.
Step-by-step explanation:
xth percentile:
If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.
Twenty four of the families in the sample watched TV for less than 22 hrs per week. In the sample, there are 150 families.
This means that 22 is the:
24*100%/150 = 16th percentile.
The first percentile is greater than or equal to 22 hours: True or False?
The first percentile is less than the 16th percentile, which is 22. This means that this is false, the first percentile is less than 22 hours.
A rotating lawn spinner sprays water on a circular area of grass, The radius of the circular area is 8ft. What measurement is closest to the area.
Answer:
Area of circle = 201.09 ft²
Step-by-step explanation:
Given the following data;
Radius, r = 8 ft
To find the area of the circular area;
Area of circle = πr²
Area of circle = 3.142 * 8²
Area of circle = 3.142 * 64
Area of circle = 201.09 ft²
Therefore, the measurement which is closest to the area is 201.09 square feet.
How do I do number 2 and 4 please help
Answer:
2: 176.8mm
4: ?
Step-by-step explanation:
2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8
4: I can't see the problem, sorry :(
Answer:
2. 2461.8
4. 86.6
Explanation:
your formula for area is pi×radius^2
you are using 3.14 for pi
and your radius is half way across the circle or half the diameter.
2. 3.14×(28)^2
3.14×784
=2461.8
4.This one shows the diameter so you have to divide it by 2 first.
10.5/2=5.25
radius=5.25
3.14×(5.25)^2
3.14x27.5625
=86.6
I ROUNDED BOTH ANSWERS AT THE END
What’s the answer to this ?
Answer:
Step-by-step explanation:
[tex]0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x[/tex]
1st box: 140
2nd box: 140
3rd box: 35
line a is perpendicular to line b. if the slope of line a is 1/8, what is the slope of line b
Answer:
-8/1
Step-by-step explanation:
Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.
Here's another example:
If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.02, can you reject the company's claim? Complete parts (a) through (e).
Answer:
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Step-by-step explanation:
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim.
At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:
[tex]H_o: \mu = 35[/tex]
And at the alternate hypothesis, you test if the content is different from 35, so:
[tex]H_a: \mu \neq 35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
35 is tested at the null hypothesis:
This means that [tex]\mu = 35[/tex]
During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.
This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]
[tex]z = 1.35[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.
Looking at the z = -1.35 has a pvalue of 0.0885
2*0.0885 = 0.177
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Four friends were born in consecutive years. The sum of their ages is 62.
What is the age of the oldest friend?
Answer:
4+62=66
Step-by-step explanation:
Plzzzzzzzzzzzzzzzzzzz help
Answer:
25
Step-by-step explanation:
1/2 b h
1/2×10×5=25
so i guess the ans is 25 thats all I know
u take 1/2 base ×height
A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below.
· 100 small paper clips.
· 250 medium paper clips.
· 150 large paper clips.
One paper clip is randomly selected from the box. What is the probability that the paper clip selected is either small of medium?
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Add all paper clip sizes together:
[tex]100 + 250 + 150 = 500[/tex]
They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.
[tex]100 + 250 = 350[/tex]
Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.
Can divide 350 and 500 by 50, which simplifies it down to 7/10.
[tex]\frac{350}{500} = \frac{7}{10}[/tex]
The probability that the paper clip selected is either small or medium is 7/10.
What is the probability that the paper clip is either small or medium?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)
= 100/500 + 250 / 500 = 350 / 500 = 7/10
To learn more about probability, please check: https://brainly.com/question/13234031
Find the measure of minor arc QN.
M
0
K
IN
38
Р
Answer:
142°
Step-by-step explanation:
Minor arc QN = m(MN) + m(QM)
n(MN) = m<MKN = 90° (central angle = measure of intercepted arc)
m(NO) = m<NKO = 38° (measure of intercepted arcs)
m(QM) = 180° - (m(MN) + m(NO)) (half circle)
Substitute
m(QM) = 180° - (90° + 38°)
m(QM) = 52°
✔️Minor arc QN = m(MN) + m(QM)
Substitute
Minor arc QN = 90° + 52° = 142°
Library Items Checked Out
2.3, 13. 3. 2. 2. 3. 6. 1, 2.8
find the range median
what is the outlier
Answer:
Soln,
2 has the highest frequency
Mode=2
L
2.8
K
Solve AJKL. Round the answer to the nearest tenth.
A. J = 42.2°, K = 110.70, L = 27.1°
B. J = 110.70, K = 42.20, L = 27.1°
C. J = 42.2°, K = 27.1°, L = 110.70
D. J= 27.1°, K = 110.7°, L = 42.2°
Please select the best answer from the choices provided
Answer:
Result = 124.6
Step-by-step explanation:
If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example
124.58
The first number of right of decimal point is 5
The second digit after decimal point is 8 which is greater than 5
So add 1 to 5
Result = 124.6
Round 367.25 to the nearest 100th of a second
How many integers are there from 1,000 through 9,999? (b) How many odd integers are there from 1,000 through 9,999? (c) How many integers from 1,000 through 9,999 have distinct digits? (d) How many odd integers from 1,000 through 9,999 have distinct digits? (e) What is the probability that a randomly chosen four-digit integer has distinct digits? What is the probability that a randomly chosen four-digit integer has distinct digits and is odd?
Answer:
(a) [tex]Total= 9000[/tex]
(b) [tex]Total = 4500[/tex]
(c) [tex]Total = 4536[/tex]
(d) [tex]Total = 2240[/tex]
(e) [tex]Pr = 0.5040[/tex] --- Probability of distinct digits
[tex]Pr = 0.2489[/tex] --- Probability of odd distinct digits
Step-by-step explanation:
Solving (a): Integers from 1000 to 9999
To do this, we simply add 1 to the range.
i.e.
[tex]Total= Range +1[/tex]
Range is the difference between the given interval.
[tex]Total= 9999 - 1000 +1[/tex]
[tex]Total= 9000[/tex]
Solving (b): Odd integers
This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)
The first digit can not be 0 (i.e any of the remaining 9 digits)
There is no restriction to other digits
Numbers from 1000 to 9999 are 4 digits, so the possible selection are:
[tex]First= 9\\Second = 10\\Third = 10\\Last = 5[/tex]
Total selection is:
[tex]Total = 9 * 10 * 10 * 5[/tex]
[tex]Total = 4500[/tex]
Solving (c): Distinct digits
This implies that all 4 digits are different and the first can not be 0.
So, we have:
[tex]First = 9[/tex] i.e. (1 - 9)
[tex]Second = 9[/tex] i.e. (0 - 9) minus the first digit
[tex]Third = 8[/tex]
[tex]Fourth = 7[/tex]
Total selection is:
[tex]Total = 9*9*8*7[/tex]
[tex]Total = 4536[/tex]
Solving (d): Odd digits that are distinct
This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)
The first digit can not be 0 and must be different from the last (i.e 8 digits)
The second digit must be different from the first and the last(i.e. 8 digits)
The third digit must be different from the three other digits (i.e. 7 digits)
So,
[tex]Total = 5 * 8 * 8 * 7[/tex]
[tex]Total = 2240[/tex]
Solving (e): Probability that a number is distinct
In (a), total possible digits is 9000
In (c), total distints are 4536
So, the probability is:
[tex]Pr = \frac{4536}{9000}[/tex]
[tex]Pr = 0.5040[/tex]
In (d), total odd distinct digits are 2240
So, the probability is:
[tex]Pr = \frac{2240}{9000}[/tex]
[tex]Pr = 0.2489[/tex]
Carmen runs each lap in 4 minutes. She will run less than 28 minutes today. What are the possible numbers of laps she will run today?
Answer:
# of laps < 28, the number of laps will be less than 28.
1 lap = 4 minutes
28 laps = 112 minutes
Because we want less than 28 laps,
27 laps = 108 minutes
She can run any amount of laps less than 28.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression.
3-2
Answer:
the answer would be 1 sorry if I'm wrong
Answer:
the answer is 1/9 trust me its right
Step-by-step explanation:
Please help!!!!!!!!!!!! Bbb
Answer:
2x+1
Step-by-step explanation:
the second answer
whats the answer for this
Answer:
1 should be 90 degrees because if u look at the angle its a right angle
2 its an obtuse angle so those angles are more than 90 degrees but less than 180 so its 150 degrees
14x+5y=31
2x−3y=−29
Answer:
x = -1, y = 0=9
Step-by-step explanation:
Multiply the second equation by 7 and subtract the two.
14 x + 5 y = 31
- (14 x - 21 y = -203)
This gives 26 y = 234. Divide both sides by 26. y = 9
Then substitute y into any equation. I'll use
2 x - 3 y = -29
2 x -3(9) = -29
2 x - 27 = -29
2 x = -2
x = -1
Box Plot for Problem #12
The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?
Answer:
26600 - 33 = 26566
Step-by-step explanation:
sum
Answer:
17,420
Step-by-step explanation:
you multiply 26,000 by .33 which gets 8,580
then subtract 8,580 from 26000 which is 17420
A stereo speaker in the shape of a triangular pyramid has a height of 8.25 inches. The area of the base of the speaker is 22 square inches. What is the volume of the speaker in cubic inches?
A. 60.5 in3
B. 181.5 in3
C. 90.75 in3
D. 243 in3
Answer:
A. 60.5 [tex]in^{3}[/tex]
Step-by-step explanation:
A = 1/3(area of base)(h)
= 1/3(22)(8.25)
= 60.5 [tex]in^{3}[/tex]
The dot plot below shows the number of movies rented last month by students in Ms. Underwood's class.
What is the median number of movies rented?
A.
4
B.
6
C.
3
D.
2
Answer:
the answer gonna be 3
Answer: I the answer is 3 100%
Step-by-step explanation: I took the test
Pls help ! Find the value of x .
Answer:
101
Step-by-step explanation:
180-79=101
have a great day
Answer:
the value of x is 101 degrees
what is the volume of the rectangular prism shown below?
Answer:
48
Step-by-step explanation:
times 4 times 3 times 4 + 48
Find h.
10 cm
h = ✓ [?] cm
8 cm
Answer:
√86 cm
Step-by-step explanation:
radius² + h² = slope² slope = 10 radius = 4
h² = slope² - radius²
h = √(slope² - radius²)
= √(10² - 4²)
= √ 86
=
Answer: 84
...........
please help
question is in the picture I will mark brainliest
Answer:
(4,0)
Step-by-step explanation:
The x intercept is where the line in the function crosses the x axis or the horizontal line
in here we can see that the line crosses the x intercept 4 "lines" from the origin so we can say the origin is (4,0)
Remember when doing points ( #,#) the first number is the x position which in this scenario is 4 and the second number is the y position and in this case it's 0
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?
A) 0.257
B) 0.351
C) 0.360
D) 0.116
Answer:
Option D
Step-by-step explanation:
Total number of employees in the organization = 250
Total person who have height greater than 180 centimeters and also have black hair = 29
Probability of choosing a person who is taller than 180 centimeters and has black hair is
[tex]\frac{29}{250} = 0.116[/tex]
Hence, option D is correct
Answer:
The correct answer is D
Step-by-step explanation:
D) 0.116
You have to find the probability of choosing a person at random taller than 180 cm and with black hair.
In the data provided 29 people meet that criteria. Out of 250 people in total you just divide.
29/250=0.116
PLEASE HELP FAST
What is the probability of rolling two dice and getting a sum that is a multiple of 5 or
rolling doubles (dice land on the same number)?
Answer:
1/3
Step-by-step explanation:
Look in the figure and circle all double rolls and all sums that equal 10.
See pic below. Then count them. There are 12.
12/36 = 1/3
please solve thisssssszzzszzsszzssss
Choose the sentence that is out of sequence.
Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.
Answer:
C.
Step-by-step explanation:
