Answer:
4/x = [tex]\frac{\pi }{6}[/tex], 5 [tex]\frac{\pi }{6}[/tex]
Step-by-step explanation:
Sorry if I am wrong
The average rate of change of the function in the given interval [0, π] is [tex]\dfrac{2}{\pi }[/tex].
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
The given function is f(x) = 2sin(1/2)x on the interval [0, π]
Here a = 0
b = π
f(a) = 2sin(1/2)a
f(0) = 0
f(b) = 2sin(1/2)π = 2
Step 2: Find Average
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\f(x) = \dfrac{2- 0}{\pi }\\\\f(x) = \dfrac{2}{\pi }\\[/tex]
Therefore, the average rate of change of the function in the given interval [0, π] is [tex]\dfrac{2}{\pi }[/tex].
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find the surface area to the nearest tenth
Part B
You will now perform the construction of a tangent to a circle using modern tools.
Open GeoGebra C, and complete each step below. If you need help, follow these
instructions for using GeoGebra.
1. Create a circle with a center at point A with a radius of your choice.
2. Now create a point outside of circle A, and label it point B. Draw a line segment
connecting points A and B. Find the midpoint of line segment AB, and label it
point C.
3. Using point C as the center, create a circle that passes through point A.
4. Circle A and circle C intersect at two points. Find these intersection points, and
label them points D and E.
5. Draw rays from point B through point D and from point B through point E. Also
draw line segments connecting points A and D and points A andis.
Take a screenshot of your image, save it, and insert the image in the space provided
Answer:
This is what I put ! I got an A! (Although the extra rays I don't think are needed)
Step-by-step explanation:
The figure is attached below
What is Tangent?In geometry, the tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point. A tangent of a circle is defined as a straight line that touches or intersects the circle at only one point. A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it.How to solve this problem?The steps are as follow:
Create a circle with a center at point A with a radius of your choice.Now create a point outside of circle A, and label it point B. Draw a line segment connecting points A and B. Find the midpoint of line segment AB, and label it point C.Using point C as the center, create a circle that passes through point A.Circle A and circle C intersect at two points. Find these intersection points, and label them points D and E.Draw rays from point B through point D and from point B through point E. Also draw line segments connecting points A and D and points A andis.From the above steps we have drawn the figure which is attached below
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The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20. Estimate the percent of the data that are less than 150 or greater than 190.
Using the normal distribution, we find that 32% of the data that is less than 150 or greater than 190.
----------------------------
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.
----------------------------
The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20.
This means that [tex]\mu = 170, \sigma = 20[/tex]
----------------------------
Less than 150:
As a proportion, it is the p-value of Z when X = 150, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 170}{20}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.16.
0.16x100% = 16%
----------------------------
More than 190:
As a proportion, it is 1 subtracted by the p-value of Z when X = 190, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{190 - 170}{20}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84.
1 - 0.84 = 0.16
0.16x100% = 16%
----------------------------
Estimate the percent of the data that are less than 150 or greater than 190.
We add both percentages, thus:
16% + 16% = 32%
32% of the data that is less than 150 or greater than 190.
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3.65 is greater than or less than 3and1/5
Answer:
Greater
Step-by-step explanation:
It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!
write 9/6 as a mixed number
9/6 can be written as the mixed number 1 1/2.
This means there is 1 whole unit and 1/2 (or half) remaining.
To write 9/6 as a mixed number, we need to divide the numerator (9) by the denominator (6).
When we divide 9 by 6, we get a quotient of 1 and a remainder of 3.
So, 9 divided by 6 is 1 with a remainder of 3.
We can express this as a mixed number by combining the whole number and the fraction:
1 + 3/6
However, the fraction 3/6 can be simplified. Both the numerator and denominator share a common factor of 3.
Dividing both by 3 gives us:
1 + 1/2
Now, we have the whole number part (1) and the proper fraction part (1/2).
Putting it all together, the mixed number representing 9/6 is: 1 1/2
Therefore, 9/6 can be written as the mixed number 1 1/2.
This means there is 1 whole unit and 1/2 (or half) remaining.
So, 9/6 as a mixed number is 1 1/2.
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Recall that a conflict of interest scenario was presented to a sample of 200 marketing researchers and that 109 of these researchers disapproved of the actions taken. (a) Let p be the proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that a majority (more than 50 percent) of all marketing researchers disapprove of the actions taken.
Answer: Null hypothesis: [tex]p\leq0.50[/tex]
Alternative hypothesis: [tex]p>0.50[/tex]
Step-by-step explanation:
A null hypothesis is a type of hypothesis that states that there is no difference between a particular parameter of a population whereas an alternative hypothesis states that there is a difference.Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.
n= 200
Sample proportion = [tex]\hat{p}=\dfrac{109}{200}=0.545[/tex]
Claim : p>0.50
Null hypothesis: [tex]p\leq0.50[/tex]
Alternative hypothesis: [tex]p>0.50[/tex]
Find x to the nearest tenth
Answer:
x=30.6
Step-by-step explanation:
Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.
Answer:
180,000
Step-by-step explanation:
You got to multiply all the numbers and then divide by 600 and then you het your anwser
7r + 6s - t for r = -5, s = 2, and t = 4
A -19
B -27
C -43
D -51
Answer:
B. -27
Step-by-step explanation:
7*-5= -35 6*2 = 12 . t= 4
-35 + 12 = -23
-23 - 4 = -27
Answer: B. -27
Step-by-step explanation:
7(-5) + 6(2) - 4
-35 + 12 - 4
-23 - 4
= -27
2(5+xi)-21+5i=3yi^2-3yi
Answer:
x = -8, y = 11/3
Step-by-step explanation:
If your bank offered you 3% interest on $5,000 in your savings account, how much money would you have in your account at the end of the year after interest?
Answer:
$150
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or: I= p * r * t
How bad is the heavy traffic? You can walk 15
miles in the same time that it takes to travel 30
miles by car. If the car's rate is 2 miles per
hour faster than your walking rate, find the
average rate of each.
Answer:
Average rate of car: x+3
Walking rate: x
The equation is
10/15 = x/x+3
So
x = 6
So
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Answer:
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
PLEASE HELP QUICK I NEED IT TO PASS. PLEASE SHOW STEPS, AND DON'T SPAM LINK PLEASE HELP. I NEED SOME HELP
Answer:
c=a2+b2=62+42≈7.2111
don't know if this is what
you are looking for but...
1. A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
a. Find the experimental probability of landing on a 2.
b. Find the experimental probability of not landing on a 6.
c. Compare the experimental probability you found in part a to its theoretical probability.
d. Compare the experimental probability you found in part b to its theoretical probability
Step-by-step explanation:
(A) you takeway 24 by 2 and add 6=28
Please helppppppppppp
Answer:
Shredders. Paper shredders can help you effectively dispose of sensitive documents and protect your personal information, whether at home or in the office.
Step-by-step explanation:
Answer:
Can you give us the drop down answers?
Step-by-step explanation:
which number multiplied by itself will give the output as 12345678987654321?
Answer:what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321. so to get 12345678987654321 we need to get square of 9 1's(111,111,111).
Solve the equation. 4 2/5 + k = -3 2/11
Step-by-step explanation:
[tex]\tt{}4 \frac{2}{5} + k = - 3 \frac{2}{11} [/tex]
[tex]\tt{} \frac{22}{5} + k = - \frac{35}{11} [/tex]
[tex]\tt{}k = \frac{35}{11} - \frac{22}{5} [/tex]
[tex]\tt{}k = - \frac{417}{55} [/tex]
[tex]\tt{}k = - 7 \frac{32}{55} [/tex]
Find arc mKL(only real answers)
Mr Goodwin finished grading his students homework at 4:12 PM if he spent an hour and 33 minutes doing this what time did he start
Answer:
2:21 pm
Step-by-step explanation:
Finished 4:12
He spent 1 hour and 33
4:12 - 1 hour 33
minus the hour
3:12
minus 33
12-33
2:21pm
if y + 3 = 14, what is the value of 3(y + 5)
Answer:
48
Step-by-step explanation:
y + 3 = 14
y = 11
3(y + 5) = 3(11 + 5) = 3(16) = 48
Answer: 48
Which is the quotient of 40 divided by 3?
daves first three test scores in algebra were 84%, 88%, and 90%. what does he need to earn on the next test so that his average for all four tests is exactly 90%?
A. 92%
B. 87%
C. 100%
D. 98%
Answer:
C gives you 90.2
Step-by-step explanation:
84+88+90+100=362
362/4=90.2
PLEASEEEEEE HELPPPPPPPPPP MEEEEEEEEEEEEEEEE
Answer:
120.2 or in other words, the answer is the last option, D
A cruise ship travels at a constant speed. In 3 hours, the ship travels 72 nautical miles. If the ship continues to travel at the same rate, how far would it travel in 11 hours. (No links) (if it’s wrong I will report and delete) (explain)
Answer:
264
Step-by-step explanation:
72 divided by 3= 24
24x11=264
Solve the equation:
f÷8=20
Answer:
f=160
Step-by-step explanation:
all you really need to do is multiply 20 and 8 and you end up with 160
A company issues a general knowledge test to its potential employees as part of its recruitment procedures. The company does not invite the lowest scoring 20% back for a second interview. If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17. What mark (to the nearest whole number) must a candidate achieve in order to secure a second interview
Answer:
46
Step-by-step explanation:
Given :
Lowest scoring 20% ; this corresponds to score below (1 - 0.2) = 0.8
Mean, m = 60
Standard deviation, s = 17
Zscore = (x - mean) / standard deviation
Therefore, the Zscore for the bottom 20% equals ; P(x > Z) = 0.8
Using a Z probability calculator ;
The Zscore = -0.842
Therefore to Obtian the score, x
Zscore = (x - mean) / standard deviation
-0.842 = (x - 60) / 17
-0.842 * 17 = (x - 60)
-14.314 = x - 60
-14.314 + 60 = x
x = 45.686
To secure a second interview, candidate must score, 46 (nearest whole number).
The marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46 and this can be determined by using the z-score formula.
Given :
A company issues a general knowledge test to its potential employees as part of its recruitment procedures.The company does not invite the lowest scoring 20% back for a second interview.If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17.Let 'x' be the mark must a candidate achieve in order to secure a second interview.
So, through the z-score formula, the value of 'x' can be determined.
[tex]\rm z_{score} = \dfrac{x-mean}{Standard\; Deviation}[/tex]
[tex]\rm -0.842 = \dfrac{x-60}{17}[/tex]
[tex]17\times -0.842 = x - 60[/tex]
x = 60 - 14.314
x = 45.686
So, the marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46.
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ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
864 inches cubed
Step-by-step explanation:
Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 11ftand a length of 18ft?
Answer:
i got 691ft
Step-by-step explanation:
Answer: 3366
Step-by-step explanation: (17)(11)(18)= 3366
Lena is saving money to buy a game. So far she has saved $12, which is three-fourths of the total cost of the game. How much does the game cost?
Answer:
12(3/4)=9
12/4=3
3•3=9
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: (4,-11)
Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates
Answer:
4,-11
Step-by-step explanation:
The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11
pls mark as brainliest!!