Answer:
15.66 cm
Step-by-step explanation:
180-66.4=113.6°
113.6÷360=0.315555555, which equals 31.55555% of the circumference
2x3.14x7.9=49.612 would be the entire circumference.
So...
31.5555555% of 49.612=15.6554 cm
.) Suppose college students produce 650 pounds of solid waste each year, on average. Assume that the distribution of waste per college student is normal with a mean of 650 pounds and a standard deviation of 20 pounds. What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
Answer:
0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
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.
Mean of 650 pounds and a standard deviation of 20 pounds.
This means that [tex]\mu = 650, \sigma = 20[/tex]
What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?
Less than 620:
pvalue of Z when X = 620. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{620 - 650}{20}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
More than 700:
1 subtracted by the pvalue of Z when X = 700. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{700 - 650}{20}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
Total:
0.0668 + 0.0062 = 0.073
0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
(02.01)Polygon ABCD slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees, what is the measure of angle A'?
A-75 degrees
B-100 degrees
C-105 degrees
D-180 degrees
Plz help What is 2x+x
Answer:
The correct answer is 3x
Step-by-step explanation:
Add 2x and x
~Hoped this helped~
~Brainiliest, please?~
Solve for x in the triangle. Round your answer to the nearest tenth
Answer:
9.1
Step-by-step explanation:
Tangent 33=x/14
x=14*Tan 33
x=9.1(nearest tenth)
PLEASE HELP DEW IN 1 hour
Answer: B
Step-by-step explanation:
2(—2) + 10 = 6.
2(0) + 6 = 6.
2(2) + 2 = 6.
2(4) + (—2) = 6
The area of a wall to be tiled in 1.5 metres by 2.5 metres.
Tiles are 50cm by 50cm
The tiles are £0.99 each.
How much will the tiles cost in pounds
Answer:
£14.85
Step-by-step explanation:
The total number of tiles needed
= 5 × 3
= 15
∴ The total cost of the tiles
= £0.99 × 15
= £14.85
What is the mean of these numbers?4,5,5,2,3,3,2,8
Answer:
4
Step-by-step explanation:
Mean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set. The mean value of the given data set is 4.
Given informationThe given numbers of the data set are,
4,5,5,2,3,3,2,8
Total numbers are 8.
MeanMean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set.
Mean is the ratio of the sum of all the terms of the set to the the number of terms in the set.
The mean can be calculated with the following formula,
[tex]\overline x=\dfrac{\sum x}{N} [/tex]
Here N is the total number of the values in the set.
Put the values in the above formula,
[tex]\overline x=\dfrac{4+5+5+2+3+3+2+8}{8} \\ \overline x=\dfrac{32}{8}\\ \overline x=4[/tex]
Hence the mean value of the given data set is 4.
Learn more about the mean here;
https://brainly.com/question/12513463
This is really urgent!!!
Step-by-step explanation:
=4(x-1)-3(2x-5)
=4x-4-6x+16
=4x-6x-4+16
= -2x+12
hope it helps.
Answer:
2x + 11
1.) Distribute
4(x-1)-3(2x-5)
4x -4 -3 (2x-5)
2.) Connect like terms
4x -4 -6x + 15
-2x -4 +15
3.) Calculate
-2x + 11
The measure of an angle is 42.89. What is the measure of its supplementary angle?
Answer:
The supplementary angle is 137.11.
Step-by-step explanation:
180-42.89 = 137.11
Hope this helps!
sin (x-20)° =cos (5x-10)°
sin(x - 20)° = cos(5x - 10)°
Expand 5x - 10 in terms of x - 20:
5x - 10 = 5x - 100 + 90
… = 5 (x - 20) + 90
and recall that for all θ, cos(θ + 90)° = - sin(θ)°, so
sin(x - 20)° = cos(5 (x - 20) + 90)°
sin(x - 20)° = - sin(5 (x - 20))°
Replace (x - 20)° = y ° to make this a bit easier to read:
sin(y °) = - sin(5y )°
Expand the right side in terms of powers of sin:
sin(5θ) = 5 sin(θ) - 20 sin³(θ) + 16 sin⁵(θ)
so the equation becomes
sin(y °) = -5 sin(y °) + 20 sin³(y °) - 16 sin⁵(y °)
16 sin⁵(y °) - 20 sin³(y °) + 6 sin(y °) = 0
Replace z = sin(y °) to get a polynomial equation:
16z ⁵ - 20z ³ + 6z = 0
Factorize the left side:
2z (8z ⁴ - 10z ² + 3) = 0
2z (2z ² - 1) (4z ² - 3) = 0
Solve for z :
• 2z = 0 → z = 0
• 2z ² - 1 = 0 → z ² = 1/2 → z = ± 1/√2
• 4z ² - 3 = 0 → z ² = 3/4 → z = ± √3/2
Solve for y in each case above:
• z = sin(y °) = 0 → y = 0 + 360n or y = 180 + 360n
(where n is any integer)
These solutions can be combined into one family, y = 180n.
• z = sin(y °) = -1/√2 → y = 225 + 360n or y = 315 + 360n
• z = sin(y °) = 1/√2 → y = 45 + 360n or y = 135 + 360n
These solutions can also be combined, y = 45 + 90n.
• z = sin(y °) = -√3/2 → y = 240 + 360n or y = 300 + 360n
• z = sin(y °) = √3/2 → y = 60 + 360n or y = 120 + 360n
These can be combined as y = 60 + 180n or y = 120 + 180n.
Solve for x in each case:
• y = x - 20 = 180n → x = 20 + 180n
• y = x - 20 = 45 + 90n → x = 65 + 90n
• y = x - 20 = 60 + 180n → x = 80 + 180n
• y = x - 20 = 120 + 180n → x = 140 + 180n
find the value of 0.7 +15.352+2
Answer:
wouldn't this be 18.052
Step-by-step explanation:
add 15 and 2 then add 1 (from 0.7 plus 0.3) then add the other decimals
Answer: 18.052
Step-by-step explanation:
We just need to add them all.
15.352+0.7=16.052 16.052+2=18.052
What is 5+5+5+5+5+5+5+5+5+5+5+5+5
Answer:
65
Step-by-step explanation:
13x5 = 65
Answer:
The answer is 65 lol
Step-by-step explanation:
Hopefully this helps
4 7/10 - 1 9/10 Pls help me also its fractions IT SO HARD
2 4/5 that’s the answer.
Enjoy
Jackie says that 200 ÷ 18 = 25. Is Jackie correct? Explain.
Answer:
Wrong
Step-by-step explanation:
200%18=11.11111111
Answer: Jackie is incorrect
Step-by-step explanation:
Because 200/18 = 11.1111111111
Is 2(6 - 3x) + x equivalent to 2(3x) + x?
Answer:
No.
Step-by-step explanation:
2(6-3x)= 12-6x and 2(3x)+x= 7x
Is this sequence arithmetic? 6,11,16,21
Answer: Yes, it is.
Step-by-step explanation:
Sorry, I just know the answer because I just did this in school. Like- right now
(help?)
Look at the model.
Which of the following statements of equality is true? [png]
Answer:
H
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
3 times 2 and x in each row
which equals to 6 and 3x
which pair of triangles is congruent by asa?
i dont understand what im doing wrong
Answer:
8
Step-by-step explanation:
-2 x -2 = 4
4 - (-28 / 7 = -4)
4- -4 = 8
Suppose that in the production of 60-ohm radio resistors, nondefective items are those that have a resistance between 58 and 62 ohms and the probability of a resistor’s being defective is The resistors are sold in lots of 200, with the guarantee that all resistors are nondefective. What is the probability that a given lot will violate this guarantee? (Use the Poisson distribution.)
Answer:
The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
The probability of a resistor’s being defective is x:
This means that [tex]\mu = nx[/tex], in which n is the number of resistors.
The resistors are sold in lots of 200
This means that [tex]n = 200[/tex], so [tex]\mu = 200x[/tex]
What is the probability that a given lot will violate this guarantee?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = 0) = \frac{e^{-200x}*(200x)^{0}}{(0)!} = e^{-200x}[/tex]
So
[tex]P(X \geq 1) = 1 - e^{-200x}[/tex]
The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.
this is on ttm or imagine math
Answer:
I think the answer is A as well
Step-by-step explanation:
Answer:
a a a a a a a a a a a a a
Step-by-step explanation:
Plz help quick I will give brainly points
Need help on this math ASAP I will give the brainiest to the person who answers this correctly! Do the ones that are circled in red please. (67 points to the person who answers this)
The solution is, 0.39 = 39% of probability.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.
In the problem given, P(A) = yes and P(B) = male, then:
P(yes) = 33/100
= 0.33
P(male) = 20/100
= 0.20 (all male that answered the question)
P(yes and male)
= 14/100
= 0.14 (all male that answered yes to the question)
P(yes or male) = P(yes) + P(male) - P(yes and male)
= 0.33+0.20-0.14
= 0.39
=39%
Hence, The solution is, 0.39 = 39% of probability.
To learn more on probability click:
brainly.com/question/11234923
#SPJ3
Complete question:
One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?
Other Academics
4: Assessment Form A
Henry sells rings for $8 each. His expenses are $1.50 per ring, plus $91 for supplies. How many rings does he need to sell for his revenue to equal his
expenses?
A 140
B. 9
C. 10
D. 14
Whoever responds first will get marked Best.
The amount of wallpaper needed to cover the wall is an example of which
A: area
B: volume
C:perimeter
D:length
Answer:
A area
Step-by-step explanation:
Will give brainly
Please answer as soon as possible
This graph allows you to not only compare different categories of data but also compare each category to the whole.
line graph
bar graph
scatter plot
Circle graph
Please help me
Please answer as soon as possible
Answer:
wheres the graph if u show me the graph ill be glad to help u
Step-by-step explanation:
Answer:
A circle graph
Step-by-step explanation:
This only applies if the question means a pie chart when it says "circle graph".
The surface area of one cube is twice the surface area of a second cube.
What is the ratio of their volumes?
Answer:
[tex]2\sqrt{2} :1[/tex]
Step-by-step explanation:
This question was linked from another one regarding the lengths of the cubes, you can find it here: https://brainly.com/question/22396279
That question gave you the ratio of the lengths, which is [tex]\sqrt{2} :1[/tex]. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.
So the ratio of volumes would be [tex]\sqrt{2} ^3:1^3[/tex], which can be simplified as [tex]2\sqrt{2} :1[/tex].
ANSWER FAST PLEASE!!!!!!!!!
Answer:
The domains are the X's, so 5, 3, 4, and 2
Step-by-step explanation:
Solve the following system of equations using substitution. Upload a
picture of your work for full credit.
x= 20 + 6y
3x – 3y = 15
SHOW WORK!!
Answer:
x = 2, y = -3
Step-by-step explanation:
Substitute x = 20 + 6y into 3x - 3y = 15:
[tex]3 (20+6y) - 3y = 15\\60 + 18y - 3y = 15\\60 + 15y = 15\\15y = -45\\y = -3[/tex]
Substitute this back into the equation x = 20 + 6y
[tex]x = 20 + 6 * (-3)\\x = 20 - 18\\x = 2[/tex]
A gadget company randomly selects 10 toys per hour to inspect. The number of defective toys in the last six samples is shown in the table.
Based on this information, how many toys are likely to be defective in a sample of 500?
A: 1
B: 5
C: 50
D: 300
Answer:
50
Step-by-step explanation:
Using proportions, it is found that the number of toys that is likely to be defective in a sample of 500 is given by:
C: 50
What is a proportion?A proportion is a fraction of a total amount.
For the samples of 10, the mean number of errors is of:
( 0 + 2 + 1 + 1 + 2 + 0)/6 = 1
Hence, for samples of 500, the expected number of defective toys will be given by:
E = (500/10) x 1 = 50
Hence, option C is correct.
More can be learned about proportions at https://brainly.com/question/24372153