Given: For a standard normal distribution, we need to find the probability between P(-2.46 < z < 2.82). It is found that P(-2.46 < z < 2.82) = 0.9905.
Explanation: Given, P(-2.46 < z < 2.82)
The standard normal distribution has a mean of μ=0 and a standard deviation of σ=1. It is called the standard normal distribution, because it is the normal distribution where z-scores correspond to the number of standard deviations above or below the mean.
A z-score tells us how many standard deviations a value is from the mean.
A positive z-score indicates a value above the mean, while a negative z-score indicates a value below the mean.
To find the probability of P(-2.46 < z < 2.82), we need to find the area under the standard normal distribution curve between -2.46 and 2.82.
To find this probability, we can use a standard normal distribution table or a calculator that has a normal distribution function.
Using a standard normal distribution table, we can find the area to the left of z=2.82 and the area to the left of z=-2.46 and then subtract the two values to find the area between these z-scores.
The area to the left of z=2.82 is 0.9974, and the area to the left of z=-2.46 is 0.0069.
Therefore, the area between these z-scores is:
P(-2.46 < z < 2.82) = 0.9974 - 0.0069
= 0.9905
Therefore, P(-2.46 < z < 2.82) = 0.9905.
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Which of the numbers listed below are solutions to the equation?
Check all that apply.
x2 = 49
A. -7
B. 14
C. 24.5
D. 7
E. -14
F. 2401
please help easy math!! 8th grade math Storypromblem answer number 9
Answer: Chris's Gym pays $2.75
Step-by-step explanation:
So i was glancing at this question wondering how I was gonna figure it out then flipped it upside down in my head and figred out what I was missing
So basically we know that Tyrell pays $2.00 for court reservations
Chris on the other hand according to the table pays $52.75 for court reservation in addition to his monthly fee. Now we have to find out how much is just the court fee. So if we look at the next box I realized that a second court recomendation costs $55.5 and I realized that to find the court reservation costs I needed to subtract so 55.5-52.755= 2.75 which means Chis has a monthly costs of 50 and pays $2.75 for a court holding
The top of a pie container is a circle. The radius of the pie is 8 inches and the radius of the container is 9 inches. What is the difference between the circumference of the container and the circumference of the pie in inches to the nearest tenth?
A 3.1 inches
B 6.3 inches
C 12.6 inches
D 25.1 inches
E 50.2 inches
Answer:
B
Step-by-step explanation:
2 pi r subtracted by 2 pi r, you get answer
2 x 3.14 ~ 6.28, x 9 ~ 56.54.
2 x 3.14 ~ 6.28, x 8 ~ 50.24
56.54 - 50.24 ~ 6.3
the perimeter of the triangle is ___ units.
Answer:
29 units
Step-by-step explanation:
12 + 12 + 5
29
Two parallel lines, I and m, are cut by a transversal, t, as shown below.
1
(17x + 14)
((48-2°
m
What is the value of z?
Answer:
x = 8
Step-by-step explanation:
alternate-interior angles equal 180°
17x + 14 + 4x - 2 = 180
21x + 12 = 180
21x = 168
x = 8
HELP ASAP PLZ!!! Question in picture!
Answer:YOUR ANSWER IS C
Step-by-step explanation:
Answer:
y=11/2x-10
20 character minimum
I need help with math.
Step-by-step explanation:
Circumference of a circle= 2πr
where r=6
and π=22/7
C=2πr
=2×22/7×6
=44/7×6
=264/7
=37.71cm
Identify the figure, name the bases,faces,edges, and vertices
Answer:
It’s a square-based pyramid
base(1) is the square on the bottom- ABCD
Faces(4) are the triangles on the sides eg- AED, DEC, CEB, BCA
There are 8 edges, four being at the bottom around the base and the other four being alone the faces
Finally there are 5 vertices, four being at the corners of the base and the fifth being the tip of the pyramid
Step-by-step explanation:
A woman bought a bag of rice for 5,700 naira and in three weeks later,she could only buy 3/4 of a bag for 5,700 find the percentage increase
Questions (a,b), 1 (a,b)
a )
First of all we need to find the value of x ,
because the angles are written in terms of the variable x .
______________________________________
Let's find the value of x :STV angle & SUV angle have same measure because both of them are the front angle of SV arc .
[tex]STV angle \: = SUV angle \: \: = \frac{SV \: arc}{2} \\ [/tex]
So :
[tex]3x - 5 = 2x + 15[/tex]
Add sides 5
[tex]3x - 5 + 5 = 2x + 15 + 5[/tex]
[tex]3x = 2x + 20[/tex]
Subtract sides minus 2x
[tex]3x - 2x = 2x + 20 - 2x[/tex]
Collect like terms
[tex]x = 2x - 2x + 20[/tex]
[tex]x = 20[/tex]
Thus the measure of angle T equals :
[tex]measure \: of \: angle \: T = 3x - 5 \\ [/tex]
Now just need to put the value of x which we found :
[tex]measure \: of \: angle \: T \: = 3 \times (20) - 5 \\ [/tex]
[tex]measure \: of \: angle \: T \: = 60 - 5[/tex]
[tex]measure \: of \: angle \: T \: = 55°[/tex]
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
b )
angle S & angle V are also have same measure because they both are the front angles to the TU arc .
And we need to find the value of x again in this part exactly like we did for a .
[tex]angle \: \: S = angle \: \: V[/tex]
As the question told :
[tex]angle \: \: S = 3x[/tex]
and ,
[tex]angle \: \: V = x + 16[/tex]
Thus :
[tex]3x = x + 16[/tex]
Subtract sides minus x
[tex]3x - x = x + 16 - x[/tex]
Collect like terms
[tex]2x = x - x + 16[/tex]
[tex]2x = 16[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]
Simplification
[tex]x = 8[/tex]
So ;
[tex]measure \: \: of \: \: angle \: \: S = 3x[/tex]
[tex]measure \: \: of \: \: angle \: \: S = 3(8)[/tex]
[tex]measure \: \: of \: \: angle \: \: S = 24°[/tex]
And we're done.
If I have 2(2.5)³, is it 2.5 to the power of 3? Or is it 2 to the power of 3?
Compare the probability that a student will pass the test in the morning with
the probability that a student will pass the test in the afternoon. Draw a
conclusion based on your results.
A. P(pass morning) = 0.24
P(pass afternoon) = 0.41
Conclusion: A student taking the test in the morning has a greater
chance of passing it than a student taking it in the afternoon
O B. P(pass morning) = 0.24
P(pass | afternoon) = 0.41
Conclusion: A student taking the test in the afternoon has a
greater chance of passing it than a student taking it in the
morning.
O c. P(pass morning) = 0.48
P(pass | afternoon) = 0.82
Conclusion: A student taking the test in the afternoon has a
greater chance of passing it than a student taking it in the
morning.
D. P(pass morning) = 0.48
P(pass afternoon) = 0.82
Conclusion: A student taking the test in the morning has a greater
chance of passing it than a student taking it in the afternoon.
Answer: C
Step-by-step explanation:
just took the quiz
The conclusion based on the statement would be option C. Conclusion: A student taking the test in the afternoon has a greater chance of passing it than a student taking it in the morning.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We need to Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon.
The conclusion based on the statement would be;
C. P(pass morning) = 0.48
P(pass | afternoon) = 0.82
Conclusion: A student taking the test in the afternoon has a greater chance of passing it than a student taking it in the morning.
Therefore, the correct option is C.
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Find the missing side lengths. Leave your answers as radicals in simplest form
Answer:
i think the answer is c but im not sure sorry if im wrong
Step-by-step explanation:
Look at the triangle: A right angle triangle is shown with hypotenuse equal to 17 centimeters. An acute angle of the triangle is labeled as x degrees What is the value of cos x°? (1 point) 8 ÷ 17 17 ÷ 8 15 ÷ 17 8 ÷ 15 I can't put in the photo. So, description. h- 17cm o- 8cm a- 15cm. This is a right triangle btw. (this is 9th grade work)
Answer:
15 ÷ 17
Step-by-step explanation:
Since our hypotenuse side is 17 cm, our opposite side is 8 cm and our adjacent side is 15 cm. Since the acute angle is x degrees,
From trigonometric ratios, cosx° = adjacent/hypotenuse
= 15 cm/17 cm
= 15/17
= 15 ÷ 17
Sam's fish tank has a base area of 187in.? and a height of 16 inches. His fish tank is shown.
16 in.
A = 187 in 2
The tank is currently full of water. How many cubic inches of water should be added to completely fill the tank?
3
® 997 in.
2
B 1,994-
4,488in.3
D 2,992in.
Answer:
D. 2992 cubic inches of water
Step-by-step explanation:
Given data
Base Area= 187in^2
Height of 16 inches
The expression for the volume of a rectangular shaped tank is
V= Area*Height
substiute
V= 187*16
V=2992 in^3
Hence the volume is 2992 cubic inches of water
Adults in various groups were they voted in recent section. The wind be. ARE Yotel der 30 30 50 Over 30 Yes 16 77 27 Nie 24 23 11 Alest is conduct the 0.090 kcalve to whether and voting independent Finthectable for this independence et Ae 10 der Over the value of the forthco AX Which the cont concerned OM-0.050 The water The wash 0.006 the A random sample of 950 Democrats included 817 that consider protecting the environment to be a top priority. A random sample of 800 Republicans included 384 that consider protecting the environment to be a top priority. Construct a 90% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment. (Give your answers as percentages, rounded to the nearest tenth of a percent.) Answers The margin of error is 3. We are 90% confident that the difference between the percentage of Democrats and Republicans who prioritize protecting the environment lies between % and 9
The 90% confidence interval estimate for the overall difference in the percentages of Democrats and Republicans who prioritize protecting the environment is between X% and Y%.
To estimate the overall difference in the percentages of Democrats and Republicans who consider protecting the environment a top priority, we can use the concept of confidence intervals.
Confidence intervals provide a range of values within which we can be reasonably confident that the true population parameter lies. In this case, we want to estimate the difference in the proportions of Democrats and Republicans who prioritize protecting the environment.
The provided information states that in a random sample of 950 Democrats, 817 consider protecting the environment a top priority, while in a random sample of 800 Republicans, 384 share the same view. To construct a 90% confidence interval, we need to calculate the margin of error, which is determined by the sample sizes and proportions.
Using the formulas for the margin of error, we find that the margin of error is 3. With this information, we can state that we are 90% confident that the difference between the percentage of Democrats and Republicans who prioritize protecting the environment lies between X% and Y%.
The confidence interval estimate gives us a range within which we can reasonably expect the true difference to fall. However, it does not provide an exact value for the difference. The range allows for some uncertainty due to the sampling variability inherent in survey data.
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If I drive at `70` miles per hour, my journey will take `2.5` hours. How long will my journey take if I drive at `60` miles per hour? Explain your answer
Answer:
It'll take 25 more minutes
Step-by-step explanation:
The total number of passengers riding a certain city bus during the morning shift is 1,000. If the child's fare is $0.50, the adult fare is $1.75, and the total revenue from the fares in the morning shift is $1,500, how many children and how many adults rode the bus during the morning shift?
Let the number of children who rode the bus be C and the number of adults who rode the bus be A. Here's how to solve this problem:
Step-by-step explanation: We are given the following information:
Total number of passengers = 1000 Children's fare = $0.50. Adult fare = $1.75. Total revenue from fares = $1500. Let C be the number of children who rode the bus during the morning shift. Therefore, the number of adults who rode the bus will be (1000 - C). The total revenue from fares is given as:$0.50 × C + $1.75 × (1000 - C) = $1500. Simplifying this equation gives us: 0.5C + 1750 - 1.75C = 1500-1.25C = -250C = 200. Therefore, the number of children who rode the bus is C = 200. Therefore, the number of adults who rode the bus is:1000 - C = 1000 - 200 = 800.
Therefore, the number of adults who rode the bus during the morning shift is 800.
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Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm?
Answer:
25
Step-by-step explanation:
A=1/2×b×h
A=1/2×5cm×10cm
A=25cm
PLEASE ANSWER QUICKLY
Answer:
x = 90 and 20 x 4 = 6x9 = k2 over -2
Which equation is equivalent to 3 = 87 ÷ h? A. 3 = (87 ÷ h) – 9 B. 3 × 9 = (87 ÷ h) ÷ 9 C. 3 + 9 = (87 ÷ h) + 9 D. 3 – 9 = (87 ÷ h)
Answer:
3= (87÷h)
Step-by-step explanation:
The question is to pick among the option the solutions that will be equal to 3= (87÷h)
Therefore the most suitable and correct option is
3×9= (87÷h)÷9
27= (87÷h)÷9
Divide by 9
3= (87÷h)
Hence the answer is 3=(87÷h)
A discrete random variable X is said to be uniformly distributed over the numbers 1. 2. 3......,n, if
P(X=i) =1/n, i=1,2....,n
Find EX and Var(X).
For a discrete random variable X that is uniformly distributed over the numbers 1, 2, 3, ..., n, the expected value (EX) can be calculated as the average of all possible values of X. The variance (Var(X)) measures the spread or variability of the distribution.
The expected value and variance, we need to use the formulas for the mean and variance of a uniform distribution.
The expected value (EX) for a uniform distribution can be calculated as the average of all possible values of X. In this case, since X is uniformly distributed over the numbers 1, 2, 3, ..., n, the expected value can be found using the formula:
EX = (1 + 2 + 3 + ... + n) / n
Simplifying this expression, we get:
EX = (n + 1) / 2
The variance (Var(X)) of a uniform distribution can be calculated using the formula:
Var(X) = (n^2 - 1) / 12
where n is the total number of possible values.
Therefore, for a discrete random variable X that is uniformly distributed over the numbers 1, 2, 3, ..., n, the expected value is (n + 1) / 2, and the variance is (n^2 - 1) / 12. These formulas allow us to calculate the average and measure the spread of the distribution.
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question is on the picture
Answer:
12/5
Step-by-step explanation:
tan A = opp/adj
For angle theta, 12 is the opposite leg.
13 is the hypotenuse.
We were not given the length of the adjacent leg, but we can use the Pythagorean theorem to find it.
a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = 25
The adjacent leg has a length of 5.
tan theta = opp/adj
tan theta = 12/5
Answer: 12/5
I need help with math!!
*PLEASE NO LINKS*
I will mark you brainiest if you don’t send a link!!
Answer:
#1 - y = 2x
#2 - x is days for sale and y is times viewed
#3 - 80
#4 - 35
Step-by-step explanation:
PLEASE HELP ME OUT AND MAKE SURE TO SHOW YOUR WORK!!!! PLEASEEEEE
Answer:
1. 15
2. 16
3. 46
4. 59
Step-by-step explanation:
1. 44+30=74, 89-74=15
2. 90-74=16
3. 180-134=46
4. angles like that are the same
Answer:
1. x=5
2. x=16
3.x=46
4.x=59
Step-by-step explanation:
1. It says that the angle in total is 89 degrees (faded). then it shows the degrees 44 and 30. add them together to get 74 degrees. next subtract 89 by 74 to get the answer 5.
2. it shows a box at the corner of the angle (box means its a perfect 90 degree angle) so you need to subtract 90 by 74 to get the answer 16.
3. the whole entire angle is 180. so you need to subtract 134 from 180 to get the answer 46.
4. look focus on the one line that shows 59 degrees and right above it there is a blank. that arrow line represents 180 degrees. subtract 180 by 59 to get 121. next focus on the second line (the one that faces downward to the right) you then subtract 180 by 121 to get 59.
1. 44+30=74 89-74=5 x=5
2. box=90 90-74=16 x=16
3. 180-134=46 x=46
4. 180-59=121 180-121=59 x=59
Points that two lines pass through are given in the table. Match each point of intersection to the correct pair of lines.
(2, 0)
(-1, 3)
(1, 0)
(-1, -3)
(0, 2)
(-3, -1)
Answer:
(2,0)(0,2
(-1,-3)(-3,-1)
(-1,3) (1,0)
Step-by-step explanation:
Tony will spend at most $27 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tony will spend.
Write your answer as an inequality solved for c.
Answer:
Inequaltiy: 27 ≤ 14+c
Final answer: 13 ≤ c
Step-by-step explanation:
Well tony spent at most 27 dollars.
He spent 14 already and he can‘t get past 27 dollars but he can spend exactly 27 or even less.
So 27 ≤ 14+c
Suppose you measured a boiling temperature (in Cº) for a liquid 6 times and observed. the following results:
Sample mean: 101.82, sample variance (biased): 0.81
a. You are given that σ^2 = 1.2 for the population distribution. What is the confidence interval for the mean at 95% confidence level?
b. Assuming σ is unknown, what is the confidence interval for the population mean at 95% confidence level?
Please round your answers to 2 decimal digits.
The confidence interval for the mean at 95% confidence level with the variance known and unknown are (101.17, 102.47), (101.06, 102.58) respectively
A.)
Known VarianceConfidence interval is related by the formula:
CI = μ ± t * s * √(1/n)Where :
μ = population mean
t = critical value for the confidence level
s = sample standard deviation
n = sample size
The critical value for a 95% confidence level is 1.96.
C.I = 101.82 ± 1.96 * 0.81 * √(1/6)
C.I = 101.82 ± 0.648
C.I = (101.172, 102.468)
Hence, the confidence interval is (101.17, 102.47)
B.)
Assuming variance is Unknown
We use the t-distribition; The critical value at 95% confidence and (6-1) degree of freedom = 2.306
CI = μ ± t * s * √(1/n)
C.I = 101.82 ± 2.306 * 0.81 * √(1/6)
C.I = 101.82 ± 0.763
C.I = 101.057, 102.583
Hence, the confidence interval is (101.06, 102.58)
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pls help asap this is too hard helpme
plzz hurryyyy its for my mathhhh classss
Answer:
A
Step-by-step explanation:
4x+2 = 10
=> 2x+2 = 10-2x