Answer:
72 cm ze wszystkich stron
Step-by-step explanation:
promień jest równy bokom kształtu.
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.
PLS HELP WILL ONLY GIVE BRAINLY IF STEPS ARE INCLUDED
(2x-2)(2x-2)(2x-2)
Answer:
8^3−24^2+24−8
Step-by-step explanation:
If you search the equation up it tells you the answer is 8^3−24^2+24−8 and shows you the steps. (I’m sorry. I just didn’t have the patience to write out all the steps.)
Explain what circumference and area have in common
and how they are different.
Answer:
They both have pie in the formula
Step-by-step explanation:
Answer:
Circumference is the distance around a circle, or the perimeter. Area is the space inside the circle. Area has square units, circumference does not. They both have π in the formula.
At which value in the domain does f(x) = 0?
2
2
4
Answer:
4
Step-by-step explanation:
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 :)
Can someone answer this please I don’t understand
Answer:
3x+2x+a=180 degree(being linear pair)
5x+25=180
5x=180-25
x=155/5
x=31
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
if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2
Answer:
2.5/40=2/y
2.5y=40x2
2.5y=80
y=80/2.5
y=32
PQRS. is a rectangle . find angle OPS if angle QOR is given
Please give full explanation i will mark you as brain list plzz kuch bakwaas mat likhana warna report kar dungi
Answer:
[tex]\angle OPS = 142^\circ[/tex]
Step-by-step explanation:
Given
The attached rectangle
[tex]\angle QOR = 142^\circ[/tex]
Required
Determine [tex]\angle OPS[/tex]
[tex]\angle OPS = \angle QOR[/tex] --- vertically opposite angles
Hence:
[tex]\angle OPS = 142^\circ[/tex]
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answer:12
Step-by-step explanation:just know i did it and got it right
Need help ill give brainlest!!!!!!!!! HURRYYYY
Answer:
4
Step-by-step explanation:
hmm i dont know this is a pretty hard 1
Plz help Desperate, question in photo
Answer:
The answer is 6 and 12
Step-by-step explanation:
1x3= 3
6×3= 18
2×3=6
4×3=12
A triangle has angles with measures of (3x) (2x - 13)", and (5x+3).
What is the measure of the smallest angle in the triangle?
O A. 17°
O B. 190
O c. 25°
OD. 57°
Answer:
c. 25°
Step-by-step explanation:
Sum of angles in a triangle:
The sum of the measures of the angles of a triangle is 180º.
In this question:
Angles of 3x, 2x-13 and 5x + 3.
The sum is 180º. So
[tex]3x + 2x - 13 + 5x + 3 = 180[/tex]
[tex]10x - 10 = 180[/tex]
[tex]10x = 190[/tex]
[tex]x = \frac{190}{10}[/tex]
[tex]x = 19[/tex]
Measure of each angle:
3x = 3(19) = 57º
2x - 13 = 2(19) - 13 = 38 - 13 = 25º
5x + 13 = 5(19) + 3 = 95 + 3 = 98º
The smallest angle is 25º, and the correct answer is given by option c.
probability of an even number both times
Answer:
1/4
Step-by-step explanation:
The possible outcomes are :
1,2,3,4,5,6
We can see that there is a 3/6 (or 1/2) chance the outcome is even
Let E= odds of getting an even
we're looking for E∩E
Because each roll is independent of the last we can multiply to find their intersection
.5*.5= .25 or 1/4
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit
in your answer.
4m
0
DO
BO
וח
m
m
2 m
х
4 m
3 ?
1
1
5m
Answer:
Step-by-step explanation:
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 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:
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?
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
Please help me I need to pass this
Answer:
5
-7
36
Step-by-step explanation:
if the center is (5,-7) the first part must look like
(x-5)²+(y+7)²
to find the raidus plug in 5 for x and -1 for y
(5-5)²+(-1+7)²
0²+6²=36
36
Please answer it. I will give brainliest if its correct..
First find the circumference of the circle:
Circumference = 2 x radius x pi
Circumference = 2 x 4 x 3.14 = 25.12 cm
Now arc ML is 100 degrees.
Multiply the circumference by the arc degree/360 ( 360 is a full circle)
25.12 x 100/360 = 6.98 cm
The answer is 6.98 cm
the sum of 2 numbers is 65 and the difference is 7
Answer:
Hello There!!
Step-by-step explanation:
The answer is=>The sum is x + y = 65
The difference is x - y = 7 .....x = 7 + y
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
x + y = 65
x + 29 = 65
X = 36
The Sum: 36 + 29 = 65
The Difference: 36 - 29 = 7
hope this helps,have a great day!!
~Pinky~
Answer:
36 and 29
Step-by-step explanation:
The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:
x + y = 65
x + 29 = 65
X = 36
Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:
Sum: 36 + 29 = 65
Difference: 36 - 29 = 7
How many solutions does the equation 2x -1 = x + x -1 have ?
Answer:
Infinite solutions
Step-by-step explanation:
2x -1 = x + x -1
2x=x+x
2x=2x
KAJSKSKSKWKWKSKSKSKSKSKSKSKSKR
Answer:
ok
Step-by-step explanation:
If I made $20 in 4 hours, what is the rate at which I made money?
Answer:
it would be five each hour.
Step-by-step explanation:
3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
4(x+2) help please.
Answer:
4x + 8
Step-by-step explanation:
4(x+2)
4*x + 4*2
4x + 8
[tex] \large\sf \leadsto 4(x + 2)[/tex]
[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]
[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]
!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution to the equation 7.5 minus X =2.8?
Image above
Answer: A
Step-by-step explanation:
4.7+2.8 = 7.5
And
7.5 -4.7 = 2.8
help me!!!!!!!!!plzzz
Answer:
B. 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.
PLEASE HELP WILL MARK BRAINLYIST HELP