Answer:
CAN NOT SEE SHAPE
Step-by-step explanation:
A vehicle owner interested in her vehicle’s fuel economy calculated the gas mileage in miles per gallon (mpg) each time she filled her tank, for several years. Here are the mpg values for a random sample of 20 of these records. Suppose that the standard deviation is known to be σ = 3.5 mpg.
Required:
Find the 95% confidence interval for the mean of gas mileage for this vehicle.
Answer:
The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.5}{\sqrt{20}} = 1.53[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is S - 1.53.
The upper end of the interval is the sample mean added to M. So it is S + 1.53.
The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.
How many solutions does 7 - 4x = 2 + x + 6 - 5x have?
A. One solution
B. Infinitely many solutions
C. Two solutions
D. No solutions
Answer:
D) No Solution.
Step-by-step explanation:
7-4x=2+x+6-5x
7-4x=8+x-5x
7-4x=8-4x
7-8-4x=-4x
-1-4x=-4x
-1=-4x+4x
-1=0
no solution
A computer technician notes that 40% of computers fail because of the hard drive, 20% fail due to the processor, 15% of problems are with the keyboard, and 5% of problems are due to something else. What is the mean of the number of computers he will work on before seeing his first computer that has failed because of the hard drive?
Since there are four categories, the technician can expect 4 computers until one has failed due to the hard drive.
Since 40% is equivalent to Two-fifths, it is expected that Five-halves = 2.5 computers until one has failed due to the hard drive.
Since the highest percentage of failure is due to the hard drive, the technician can expect that the first computer will have failed due to the hard drive. So the expected value is 1.
Since it is more likely that a computer has failed due to some other issue, the technician can expect the first computer to fail due to some other issue, and the second to fail due to the hard drive. So the expected value is 2
Answer:
Answer is b
Step-by-step explanation:
Hey I need this answered fast!! and if u please could help me I have more questions similar to this one on my page
Answer:
B and E
Step-by-step explanation:
The zero of a function is whatever point on the function where the y-value is zero. Hope this helped.
Find the base of a parallelogram with height 11.8 millimeters and an area of 151.04 square millimeters.
Answer:
12.8
Step-by-step explanation:
Use the graph to help you answer this question
4
6
Point A(2, 1) partitions OR in the ratio of 3 to 2. The coordinates of point Q are (-4,-5). What are the coordinates of point R?
(-2,-3)
0 (4,3)
(6,5)
(0-2)
Answer:
Coordinates of point R = (6,5)
Step-by-step explanation:
Given;
Point A(2 , 1)
Q(-4 , -5)
m1:m2 = 3 : 2
Find:
Coordinates of point R
Computation:
X = [(m1)(x2) + (m2)(x1)] / (m1 + m2)
2 = [(3)(x2) + (2)(-4)] / (3 + 2)
2 = [3x2 - 8] / (5)
10 = [3x2 - 8]
3x2 = 18
x2 = 6
Y = [(m1)(y2) + (m2)(y1)] / (m1 + m2)
1 = [(3)(y2) + (2)(-5)] / (3 + 2)
1 = [3x2 - 10] / (5)
5 = [3x2 - 10]
3y2 = 15
y2 = 5
Coordinates of point R = (6,5)
HELP please!!!!!!!!!!!
Answer:
Step-by-step explanation:
Which choice is equivalent to the fraction below when X is an appropriate value? Hint: Rationalize denominator and simplify
Answer:
Option A. –2 – 2√2
Step-by-step explanation:
√8 / √2 – 2
The above expression can be simplified as follow.
√8 / (√2 – 2)
Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:
√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)
√8(√2 + 2) / (√2 – 2)(√2 + 2)
√16 + 2√8 / 2 + 2√2 – 2√2 – 4
√16 + 2√8 / 2 – 4
√16 + 2√8 / –2
Recall
√16 = 4
√8 = √(4×2) = √4 × √2 = 2√2
Thus,
√16 + 2√8 / –2 = 4 + 2×2√2 / –2
= (4 + 4√2) / –2
= 4/–2 + 4√2/–2
= –2 – 2√2
Therefore,
√8 / (√2 – 2) = –2 – 2√2
Thus, option A gives the correct answer to the question.
55 Find the missing angle
Answer:
what
Step-by-step explanation:
9). Four friends earned $4.20 for washing a car. They decided to split the money equally. How much money did each friend get?
Answer:
1.05
Step-by-step explanation:
Answer: $1.05
Step-by-step explanation:
I think this answer is correct because, all we have to do here is divide 4.20 by 4 (because there is 4 friends and they each get an equal amount.) So 4.20 divided by 4 equals 1.05.
Hope This Helps!
You shot a space capsule into an orbit around the space station.
The total weight of the capsule was 1,330 kilograms. If the devices
on board to regulate speed weighed one fourth as much as the fuel
tank and the power unit weighed one half as much as the fuel tank,
how much did the power unit weigh?
In this word problem, what are you asked to find?
CD
The weight of the power unit
b
The weight of the devices to regulate speed
с
The weight of the capsule
d
The weight of the container
We often deal with weighted means, in which different data values carry different weights in the calculation of the mean. For example, if the final exam counts for 50% of your final grade and 2 midterms each count for 25%, then you must assign weights of 50% and 25% to the final and midterms, respectively, before computing the mean score for the term. Apply the idea of weighted mean in the following exercise.
A student is taking an advanced anatomy class in which the midterm and final exams are worth 30% each and homework is worth 40% Of his final grade. On a 100-point scale, his midterm exam score was 82.5, his homework average score was 91.6, and his final exam score was 88.6.
Required:
a. On a 100-point scale, what is the student's overall average for the class?
b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?
Answer:
a) The student's overall average for the class is 87.97.
b) He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.
Step-by-step explanation:
Weighed average:
To solve this question, we find the student's weighed average, multiplying each of his grade by his weights.
Grades and weights:
Scored 82.5 on the midterm, worth 30%.
Scored 88.6 on the final exam, worth 30%.
Scored 91.6 on the homework, worth 40%.
a. On a 100-point scale, what is the student's overall average for the class?
Multiplying each grade by it's weight:
[tex]A = 82.5*0.3 + 88.6*0.3 + 91.6*0.4 = 87.97[/tex]
The student's overall average for the class is 87.97.
b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?
Score of x on the final class, and verify that the average could be 93.5 or higher. So
[tex]A = 82.5*0.3 + 88.6*0.3 + 0.4x[/tex]
[tex]A \geq 93.5[/tex]
[tex]82.5*0.3 + 88.6*0.3 + 0.4x \geq 93.5[/tex]
[tex]0.4x \geq 93.5 - (82.5*0.3 + 88.6*0.3)[/tex]
[tex]x \geq \frac{93.5 - (82.5*0.3 + 88.6*0.3)}{0.4}[/tex]
[tex]x \geq 105.425[/tex]
He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.
A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?
A. 30-35
B. 65-70
C. 130-135
D. 265-270
Answer:
Step-by-step explanation:
B?
Is this triangle acute, right, or obtuse?
NEED HELP WITH THIS!!!!!! 50 points!!!!!!
A. Acute
B. Right
C. Obtuse
Answer:
acute
hope this helps
have a good day :)
Step-by-step explanation:
A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?
Answer:
[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]
Answer:
1.24 ft
Step-by-step explanation:
the volume of sphere = 4/3π.r³ = 1
=> r³ = 3/(4π)= 3/(12.56) = 0.239
r = ³√0.239
r = 0.62
d = 2×0.62 = 1.24 ft
A pet store is selling dogs for $140 and cats for $70. If 28 pets were sold and the
receipts were $3360, how many cats were sold?
Answer:
x+y=28. 70x+140y=3360. 8 cats, 20 dogs were sold.
Step-by-step explanation:
hope it helps :)
What is the surface area of the solid shown below?
Answer:
[tex]\text{C. }156\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The surface area of the triangular prism consists of three rectangles and two triangles.
Rectangle One - 5 x 12 = 60 cm^2
Rectangle Two - 4 x 12 = 48 cm^2
Rectangle Three - 3 x 12 = 36 cm^2
Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2
Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]
Clarence saved 19% of the money he earned. If Clarence earned $90, how much did he save?
factor the expression 8q^6r^3+27s^6t^3
Answer:
(2q^2r+3s^2t)(4q^4r^2-6q^rs^2t+9s^4t^2)
Step-by-step explanation:
app said so... 0_0
KAJSKSKSKWKWKSKSKSKSKSKSKSKSKR
Answer:
ok
Step-by-step explanation:
the area of the parallelogram is 105 cm2. what is the base of the parallelogram?
Answer:
15 cm
Step-by-step explanation:
Since the area of a parallelogram is b * h = a,
105 = 7b
b = 105/7 = 15 cm
Randy took a standardized test that is normally distributed. He scored a 105 on the test. The nationwide mean score on the test was 94 and the standard deviation was 6.2. What percent of the tested population scored higher than Randy on the test? Round to the nearest whole percent.
Answer:
4% of the tested population scored higher than Randy on the test
Step-by-step explanation:
P(X>105) = normalcdf(105,1e99,94,6.2) = 0.0380155219 ≈ 0.038 ≈ 3.8% ≈ 4%
Therefore, about 4% of the tested population scored higher than Randy on the test.
Triangle ABC has vertices A(1, 3), B(–2, –1) and C(3, –2). What are the coordinates of the triangle after the reflection over the line x = y?
Answer:
a(3,1)
b(-1,-2)
c(-2,3)
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 6.4
Step-by-step explanation:
45 POINTS
Click on the measure of the angle.
Answer:
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So, here's a story from A to Z
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(Gotta get with my friends)
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(You've got to give)
Taking is too easy, but that's the way it is
If you wanna be my lover
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If you wanna be my love
Step-by-step explanation:
I NEED HELP it's due today! Giving out BRAINLIEST & 30 POINTS!
~Rules~
a. SHOW WORK/CHECK ANSWER
b. NO FILES/LINKS
c. NO SILLY ANSWER
~Hocus Pocus
Answer:
see below
Step-by-step explanation: 5 20 21 02
There are 5 areas to calculate
Top = LW = (20)(17)
Bottom = LW = (20)(15)
Back = LW = (20)(8)
2 Triangular Ends = One square = LW = (8)(15)
Total Surface Area = (20)(17) + (20)(15) + (20)(8) + (8)(15)
= (20)(17 + 15 + 8) + (8)(15)
= (20)(40) + (8)(15)
= 800 + 120
= 920 ft²
Evaluate the expression when b= 14 and c=6.
Answer:
14-6 = 8
14+6 = 20
14 x 2 = 28
14/2 = 7
2/14 = 1/7 = 0.14285714285
14^2 + 6 = 196 + 6 = 202
and so on..
Step-by-step explanation:
need help with this one too
Answer:
B.
Step-by-step explanation:
Don't doubt me... jwust twust me
50+50+8x+8=180
180-108=8x
x=9
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D What is the constant rate of change shown in the graph below?
2
3
0.5
1
Answer: 3
Step-by-step explanation:
9. When the sun makes an angle of o above the horizon, a building casts a shadow 17 feet long
What function models the height of the building?
How high is the building if 0 = 38°
(pic included) pls help me
Answer:
A. tan 38° = opposite/adjacent
opposite = (tan 38°)(adjacent)
opposite = (0.31)(17 ft)
opposite = 5.27 ft
B. height is = 5.27 ft
The models the height of the building is y = 17 tanθ and if θ=38° then the height is 13.28 feet
ModelA mathematical model is a linguistic and mathematical concepts-based description of a system. Mathematic modeling is the process of creating a mathematical model.
How to find the model?(A) Give the building and is shadow is 17 feet and make θ.
then the relation is tanθ =y/17
So y = 17 tanθ
(B) If the is angle is 38°
then
tan38° =y/17
0.7813 = y/17
y = 13.28 feet
Hence the model is tanθ and when the angle is 38° the value of y is 13.28 feet.
Learn more about the model here- brainly.com/question/24448358
#SPJ2.