Answer:
a. 9/25
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 5 + 7 + 9 + 4 = 25 shirts, 9 of which are red.
So 9/25 probability of being handed a red t-shirt, which means that the correct answer is given by option a.
what is equivelent to 13/13
Answer:
1
Step-by-step explanation:
Answer:
1/1
2/2
3/3
4/4
5/5
Step-by-step explanation:
Andy wants to find the distance across a river. In order to find the distance CD, Andy stands at point D , directly across from point C , and walks 200 feet to the left, placing a marker at a point E. Andy continues walking another 300 feet to point A , and then follows the path to the left, walking until the markers at points E and C line up. Andy marks this location B and measures AB. What is CD
Answer:
98
Step-by-step explanation:
200/300 x 147= 98
Find the total surface area of this figure.
Answer:
83 total surface area
Step-by-step explanation:
According to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (ap- proximately seven gallons) of salad and cooking oils in 2008 (www.ers.usda.gov/data/foodconsumption). Suppose that the current distribution of salad and cooking oil consumption is approximately normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.
1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?
2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?
3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?
Answer:
a) 0.11%
b) 55.99%
c) 0.25%
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.
Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.
This means that [tex]\mu = 54.3, \sigma = 14.5[/tex]
1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?
The proportion is the pvalue of Z when X = 10. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10 - 54.3}{14.5}[/tex]
[tex]Z = -3.06[/tex]
[tex]Z = -3.06[/tex] has a pvalue of 0.0011
0.0011*100% = 0.11%.
2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?
The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.
X = 60
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 54.3}{14.5}[/tex]
[tex]Z = 0.39[/tex]
[tex]Z = 0.39[/tex] has a pvalue of 0.6517
X = 35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 54.3}{14.5}[/tex]
[tex]Z = -1.33[/tex]
[tex]Z = -1.33[/tex] has a pvalue of 0.0918
0.6517 - 0.0918 = 0.5599
0.5599*100% = 55.99%
3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?
The proportion is 1 subtracted by the pvalue of Z when X = 95.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{95 - 54.3}{14.5}[/tex]
[tex]Z = 2.81[/tex]
[tex]Z = 2.81[/tex] has a pvalue of 0.9975
1 - 0.9975 = 0.0025
0.0025*100% = 0.25%
(1.) 0.11% of Americans annual salad and cooking oil consumption is less than 10 pounds.
(2) 55.99% of Americans annual salad and cooking oil consumption is between 35 and 60.
(3).0.25% Americans annual salad and cooking oil consumption is more than 95 pounds.
Given, the average american consumed 54.3 pounds of salad and cooking oils in 2008.
the mean of salad and cooking oil consumption is approximately 54.3 pounds and a standard deviation of 14.5 pounds.
The formula for calculating a z-score is,
[tex]z = \dfrac{(X-\mu)}{\sigma}[/tex]
where [tex]X[/tex] is the raw score, μ is the population mean, and σ is the population standard deviation.
The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average.
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.
1. percentage of Americans annual salad and cooking oil consumption is less than 10 pounds.
Here X=10
[tex]z=\dfrac{10-54.3}{14.5}[/tex]
[tex]z=-3.06[/tex]
Since [tex]z=-3.06[/tex] has a p value of 0.0011,so
[tex]0.0011\times100\%=0.11\%[/tex]
2.percentage of Americans' annual salad and cooking oil consumption is between 35 and 60.
the proportion is the value of Z when X = 60 subtracted by the p value of Z when X = 35.
At X=60,
[tex]z=\dfrac{60-54.3}{14.5}[/tex]
[tex]z=0.39[/tex]
0.39 has a p value of 0.6517.
At X=60,
[tex]z=\dfrac{35-54.3}{14.5} \\[/tex]
[tex]z=-1.33[/tex]
-1.33 has a p value of 0.0918.
Now,[tex]0.6517 - 0.0918 = 0.5599[/tex]
[tex]0.5599\times100\% = 55.99\%[/tex]
3. percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds.
Here, The proportion is 1 subtracted by the p value of Z when X = 95.
[tex]z=\dfrac{95-54.3}{14.5}[/tex]
[tex]z=2.81[/tex]
[tex]z=2.81[/tex] has a p value of 0.9975.
So, [tex]1 - 0.9975 = 0.0025[/tex].
Now, [tex]0.0025\times100\% = 0.25\%[/tex].
Hence the correct percentage is 0.11%,55.99% and 0.25% respectively.
For more details follow the link:
https://brainly.com/question/6096474
HELP PLZ WHATS THE SURFACE AREA
Answer:
285 square units
Step-by-step explanation:
A=π⅓(6V)⅔
Here Volume is 144π
So,
A= π⅓ (6(144π))⅔
=π⅓ (6(452.4)⅔
=π⅓ (2714.4)⅔
=π⅓ (194.5)
=(3.14)⅓ (194.6)
=(1.46) (194.6)
=284.9
=285
Fine the area of the shape below PLSSS HELP
Answer:
58 yds (squared yards) 6 × 7 = 42, 4 × 4 = 16; 42 + 16 = 58
hope this helps!
Answer:
see how to calculate of this question
I need help on this, find the value of x
Answer:
x=35
obtuse scalene triangle
Step-by-step explanation:
All angles in a triangle add up to 180°.
[tex]3x-5+x+10+x=180[/tex]
[tex]5x+5=180[/tex]
[tex]5x=175[/tex]
[tex]x=35[/tex]
So, x=35.
When we plug in x to each angle, we see that the 3x-5 angle is above 90°, and all of the angles are different. So, this is an obtuse scalene triangle.
Find the volume of the sphere.
r= 4 cm
Formulas for Spheres
S.A. = 4tr2
V = fnr V = [?] cm3
Round to the nearest tenth.
Enter
Answer:
268.2 cm³
Step-by-step explanation:
Volume of sphere= 4/3 π r³
→ [tex]4/3*22/7*4*4*4[/tex]
→ [tex]256*22/21[/tex]
→ [tex]5632/21=[/tex]
→ [tex]268.19 cm^3[/tex]
→ [tex]268.2 cm^3[/tex]
[tex]------------[/tex]
hope it helps...
have a great day!!
Answer:
268.2 cm³ is your answer
I really need help with this probability question and it would mean a lot if someone could help me! :)
The length of a rectangle is 7 inches more than twice the width. The
perimeter is 68 inches. Find the length and the width.
Equation?
Answer:
Length: 25
Width: 9
Step-by-step explanation:
How is absolute value used to determine MAD
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean.
Step-by-step explanation:
A professor wants to determine the best way to present an important topic to his class. He has the following three choices: he can lecture, he can lecture plus assign supplementary reading, or he can show a film and assign supplementary reading. He decides to do an experiment to evaluate the three options. He solicits 15 volunteers from his class and randomly assigns 5 students to each of the three conditions. The students were subsequently tested on the material. The following scores (percentage correct on the test) were obtained:
LECTURE Lecture + Reading Film + Reading
92 86 81
86 93 80
87 97 72
76 81 82
80 94 83
Answer:
lecture plus assign supplementary reading
Step-by-step explanation:
So I think how you do it is to find the mean of each. The middle one has the highest mean. Also, it has 3 As and 2 Bs, the first one only has one A and the last one does not have an A.
I dentify the appropriate mixed number for the picture shown
Answer:
2 1/2
A.
Count the complete =2
The incomplete, a quarter + a quarter = half
The temperature in Mrs. Cagle's room was -14°F yesterday, but it rose 8°F today. What is the
new temperature today?
Can you find the number of triangles in this given figure.
Answer:
19
Step-by-step explanation:
Answer:
61
reason: I just counted
Please answer 23 and 24 for me pls pls pls
Which graph best represents a quadratic function that has only one zero?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is an example of a compound event??
Answer: Flipping a coin, or drawing a card suit (spades, hearts, clubs, or diamonds), either of those works.
Step-by-step explanation: A compound event is the combination of two or more simple events (with two or more outcomes). The probability of drawing a heart, replacing the card, then drawing a spade. In a compound event, the numerator ("number of times it can occur") will be greater than 1.
What is the answer for the equation: -4.2a = 8.4
Answer:
the answer is in the photo
Step-by-step explanation:
I hoped I helped:)
consider the following polynomial expression
Step-by-step explanation:
a.13x8+4x5-16x2
b.8
c.3
d.13x8
e.16
They are required answer but,may be wrong.
hope it helps u and keep smiling ;)
no links just help pls i give brainly-est just help me TwT
Answer:
7 x 4 x 8 = 224 in3
8 x 5 x 6 = 240 in3 B has the largest area
6 x 4 x 6 = 144 ft3 is your volume
5 x 4 x 5 = 100
4 x 5 x 2 = 40
100 + 40 = 140 in3 is your combined area
6 x 2 x 3 = 36
4 x _ x _ = 36
Possible answer:
4 x 3 x 3 = 36
Hello help me out thank you !
Answer:
1130.4
Step-by-step explanation:
The volume of a cylinder is πr^2h, where r is the radius and h is the height.
We are given the height, 10m.
The diameter is 2m more than the height, so 2+10=12m.
The radius is half the diameter, so 12m/2=6m.
Use r=6 and h=10 in the formula to get the volume
π6^2*10≈1130.4
Suppose you slice a square pyramid such that the plane just touches the vertex. What is formed at the
intersection of the plane and the pyramid?
a. point
b. square
c. triangle
d. quadrilateral
Answer:
c
Step-by-step explanation:
The vertex is like the top point of the pyramid. If we cut in that direction, we essentially cut the pyramid in half. This makes a triangle crossection
Answer: For me, triangle isn't the correct answer. For me the correct answer is a point
Step-by-step explanation:
Determine the volume of the toilet paper roll excluding the empty middle
Answer:
150.72
Step-by-step explanation:
3² × 3.14 × 6 - 1² × 3.14 × 6 = (3² - 1²) × 3.14 × 6 = 150.72
Which term describes sq
Answer:
angle bisector
Step-by-step explanation:
In the picture shown in the question, the line segment SQ would be considered the angle bisector. This is because it is dividing the interior angles' opposite side into two line segments. Hence the line segments PQ and QR. The angle bisector divides the opposite side into line segments that are proportional to the other two sides of the triangle which in this case can be seen by the top left indication in the picture stating that PQ and QR are the same.
solve for x
x plus 15 = 60
Answer:
x = 45Step-by-step explanation:
x + 15 = 60
=> x = 60 - 15
=> x = 45 (Ans)
Answer:
45
Step-by-step explanation:
x + 15 = 60
-15. -15
___. ____
x. = 45
PLEASE HELP!! 30 POINTS
Answer:
subject?
Step-by-step explanation:
Answer:
The C, the third one!
Step-by-step explanation:
**PLEASE HELP!!*
James threw a ball from the roof of a building. The ball fell 3 feet in the first second, 9 feet in the next second, and 27 feet in the third second. which expression represents the distance the ball fell at the nth second?
a. 3^n
b. 3n
c. n^3
d. 6n-3
Answer:
n 3 is the correct answer okay
A small bar of gold measures 4 mm by 72 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounces. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.
The volume of the bar is ______ cubic millimeters and the weight of the bar is ______ ounce(s).
Answer:
A small bar of gold measures 40 mm by 25 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounce. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.
been working on this for too long. thank u :)
Answer:
Im not a 100% sure but my best guess would be the 3rd equation:
f(x) = (x - 1) (x + 3)
Please let me know if I was wrong, but i hope this helped you!