Answer:
1 = 100% probability that a person will wait for more than 33 minutes.
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.
The mean waiting time is 55 minutes and the variance of the waiting time is 11.
This means that [tex]\mu = 55, \sigma = \sqrt{11}[/tex]
Find the probability that a person will wait for more than 33 minutes.
This is 1 subtracted by the p-value of Z when X = 33. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 55}{\sqrt{11}}[/tex]
[tex]Z = -6.63[/tex]
[tex]Z = -6.63[/tex] has a p-value of 0.
1 - 0 = 1
1 = 100% probability that a person will wait for more than 33 minutes.
Help me please will be appreciated thx
Answer:
-6 +8d -2c
Step-by-step explanation:
[tex]\frac{-2}{5} (15 -20d +5c) = \frac{-2}{5} \times 15 - \frac{-2}{5}\times20d +\frac{-2}{5}\times5c = -6 + 8d -2c[/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
18y – 3.x = -90
Answer:
Step-by-step explanation:
which expression is equivalent to 6 (3x + 4)?
A) 9x + 4
B) 18x + 4
C) 18x + 24
D) 9x + 10
Answer:
c number is the ans
Step-by-step explanation:
multiply each term with 6
y is inversely proportional to (x+2)² when x=1, y=2
find y in term of x
please help asap!!
Answer:
y = 18 / (x + 2)²
Step-by-step explanation:
Inversely proportional
y * (x + 2)² = k
when x=1, y=2
k = 2 * (1 + 2)²
k = 18
-----------------------
y * (x + 2)² = 18
Divide both sides by (x + 2)²
y = 18 / (x + 2)²
Wat is the average between 1,000, 2300,1000,2600
Answer:
1180.2
Step-by-step explanation:
The average of 1,000,2300,1000,2600 is 1180.2
The dimensions of a rectanglar sheet of metal are 9.96m by 5.08m
Find
The perimeter of the metal, correct to 1 significant figure
• Length of the metal sheet = 9.96 m
• Breadth of the metal sheet = 5.08 m
As we know that,
★ Perimeter of rectangle = 2(length + breadth)
→ Perimeter of sheet = 2(9.96 + 5.08) m
→ Perimeter of sheet = 2(15.04) m
→ Perimeter of sheet = 30.08 m
Therefore, perimeter of the rectangular sheet is 30.08 m.
Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). These data are also available for download at the online study center.
X 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1
Y 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0
X 15.4 16.2 15.0 17.2 16.0 17.0 14.4
Y 69.4 83.3 79.6 82.6 80.6 83.5 76.3
Required:
a. Draw a scatter diagram displaying the data.
b. Find X- bar, Y- bar, a and b. Then find the equation of the least squares line y=a+bx.
c. Graph the least squares line on your scatter diagram. Be sure to use the point ( X-bar, Y- bar) as one of the points on the line.
Answer:
a) attached below
b) X - bar = 16.65
Y - bar = 80.04
y = 25.26 + 3.29 ( X )
c) attached in diagram below
Step-by-step explanation:
n = 15
∑ x = 20.0 + 16.0 + 19.8 + 18.4 + 17.1 + 15.5 + 14.7 + 17.1 + 15.4 + 16.2 + 15.0 + 17.2 + 16.0 + 17.0 + 14.4 = 249.8
∑ y = 88.6 + 71.6 + 93.3 + 84.3 + 80.6 + 75.2 + 69.7 + 82.0 + 69.4 + 83.3 + 79.6 + 82.6 + 80.6 + 83.5 + 76.3 = 1200.6
∑ xy = ( 20 * 88.6 ) + ( 16 *71.6 ) + ( 19.8 * 93.3 ) + ( 18.4 * 84.3 ) + ( 17.1 * 80.6 ) + (15.5 * 75.2 ) + ( 14.7 * 69.7 ) + ( 17.1 * 82.0 ) + ( 15.4 * 69.4 ) + ( 16.2 * 83.3 ) + ( 15 *79.6 ) + ( 17.2 * 82.6 ) + ( 16 * 80.6 ) + ( 17 * 83.5 ) + ( 14.4 * 76.3 )
= 20127.47
∑x^2 = 20.0^2 + 16^2 + 19.8^2 + 18.4^2 + 17.1^2 + 15.5^2 + 14.7^2 + 17.1^2 + 15.4^2 + 16.2^2 + 15.0^2 + 17.2^2 + 16.0^2 + 17.0^2 + 14.4^2
= 4200.56
∑ y^2 = 88.6^2 + 71.6^2 + 93.3^2 + 84.3^2 + 80.6^2 + 75.2^2 + 69.7^2 + 82.0 ^2 + 69.4^2 + 83.3^2 + 79.6^2 + 82.6^2 + 80.6^2 + 83.5^2 + 76.3^2
= 96725.86
a) Scatter diagram showing given data
Attached below
B)
X - bar = ∑x / n = 249.8 / 15 = 16.65
Y - bar = ∑y / n = 1200.6 / 15 = 80.04
where: Y = Temperature and X = Chirps per seconds
b = [ n ∑ xy - ( ∑x ∑y ) ] / [ n∑x^2 - ( ∑x )^2 ]
= [ 15 * 20127.47 - ( 249.8 * 1200.6 )] / [15* 4200.56 - ( 249.8 )^2 ]
= 2002.17 / 608.36 = 3.29
a = Y-bar - b( X-bar )
= 80.04 - 3.29( 16.65) = 25.26
equation for least squares line
y = 25.26 + 3.29 ( X )
C) Graph the least squares line on scattered diagram
attached below
Out of 400 people sampled, 56 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids.
Give your answers as decimals, to three places
___ < p < ___
Answer:
because having 90% means big
h(-4), h(0), h(4), h(8)
h(x)= {-(x+1)^2 + 7, x<2
{ -1/3x, x>4
h(-4)=
h(0)=
h(4)=
h(8)=
PLEASE HELP
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The first two x-values, -4 and 0, fall in the first part of the function definition.
There is no function definition for x = 4, as the second part only applies for x > 4.
The last x-value, 8, falls in the second part of the function definition.
The function is evaluated by putting the x-value where x is in the expression and doing the arithmetic. For example, ...
h(-4) = -(-4+1)^2 +7 = -(-3)^2 +7 = -9 +7 = -2
h(0) = 6
h(4) = undefined
h(8) = -8/3
The habitable part of Earth's surface has been estimated to cover 60 trillion square meters. Estimate the percent of this area occupied by humans if Earth's current population stood packed together as people do in a crowded elevator.The habitable part of Earth's surface has been estimated to cover 60 trillion square meters. Estimate the percent of this area occupied by humans if Earth's current population stood packed together as people do in a crowded elevator. HINT
Answer:
yay
Step-by-step explanation:
1
Abdullah tracked the scores of his Science tests this year.
93, 71, 86, 95, 72, 81, ?
He lost the score from his final test, but knows he had a mean score of 82.
Calculate his missing score.
76 O
Activate Windows
Go to Settings to activate Windows.
11:30 AM
5/31/2021
Desktop
4») GG ENG
O
10
Answer:
76
Step-by-step explanation:
Answer:
I believe the answer is 76
What is the solution of log; (3x+2) = log: (4x-6)?
Answer:
x = 8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Cancel the log from both sides and you'll get:
[tex]3x + 2 \: = 4x - 6 \: \\ 6 + 2 = 4x - 3x \: \\ x = 8[/tex]
SOMEONE PLEASE HELP ME ANSWER ALL THESE IM IN SUMMER SCHOOL NO LINKS OR FILES I WOULD DEEPLY APPRECIATE IT<33
Find the circumference of a
circle with diameter, d = 10.8cm.
Give your answer rounded to 3
SF.
Answer:
33.9
Step-by-step explanation:
r = d/2
= 5.4
[tex]2\pi \: r[/tex]
[tex] = (2)(\pi)(5.4)[/tex]
=33.93
23+15=7
29+21=8
12+15=6
74+12=?
Step-by-step explanation:
here are all the anwsers
Il
11
1-42
Find the absolute value for |-43|
-1
0
43
-43
An absolute value is always a positive value
The absolute value for |-43| would be 43
A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price. The customer was charged a 7% tax when the DVD was sold.
What was the customer’s total cost for the DVD?
Answer:
$19.26
Step-by-step explanation:
12 × .5 = 6
6 + 12 = 18
18 × 0.07 = 1.26
1.26 + 18 = 19.26
I still need help! Please! Help me
Part A = 60
Part B is C
Hello I need this quickly pls
Answer:
Area = x² + 10x + 21
Step-by-step explanation:
Area = L * W
Length = (x + 7)
Width = (x + 3)
=> Area = (x + 7) * (x + 3)
=> Area = x² + 3x + 7x + 21
Combining like terms would result in;
=> Area = x² + 10x + 21
Hope this helps!
Please help just put answer
The answer is: 15 ft
O capital de R$ 12.000,00 foi aplicado a juros compostos à taxa de 60% ao ano durante 2 anos. Determine o montante? *
?Answer:
Step-by-step explanation:
WILL GIVE U BRAINLIEST
Are these triangles congruent? How do you know?
A. Not sure not enough info
B. Yes, by HL
C. Yes, by ASA
D: yes, by AAS
Answer:
C
Step-by-step explanation:
2 angles and a shared side.
shared side is between the two angles
what is the mean absolute deviation for 9, 7, 6, 8, 7, and 5? (2 points) a 1 b 2 c 6 d 7
Answer: a. 1
Step-by-step explanation:
Given data: 9, 7, 6, 8, 7, and 5.
Mean absolute deviation: [tex]MAD=\dfrac1n\sum^n_{i=1}|x_i-m|[/tex], where m = mean
mean (m) = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]
[tex]=\frac{42}{6}\\\\=7[/tex]
Now, [tex]MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}[/tex]
[tex]MAD=\dfrac{2+0+1+1+0+2}{6}[/tex]
[tex]MAD=\dfrac{6}{6}[/tex]
[tex]MAD=1[/tex]
Hence, the mean absolute deviation=1
Thus correct option is a. 1
Which set of equations shows a way to find 771 - 468?
Answer:
The one that has 303 as the answer is the correct one
35-4-2-13
O C5 (
42) 13
o
D(
64) -2-13
5th grade work helpp
Answer:
C: 31
Step-by-step explanation:
15 x 15 = 225
16 x 16 = 256
256 - 225 = 31
Answer:
C) 31
Step-by-step explanation:
15 x 15 = 225
16 x 16 = 256
256 - 225 = 31
13) A rectangular garden has an area of 45 square meters. The garden will be 4 meters longer than its width Write and sowe an equation to find the dimensions in meters.
Answer:
9m ×5m
Step-by-step explanation:
Area of a rectangle= length ×width
Let the width be W meters and the length be L meters.
2 equations can be written from the given information:
45= WL -----(1)
L= W +4 -----(2)
Substitute (2) into (1):
45= W(W +4)
Expand:
45= W² +4W
-45 on both sides:
W² +4W -45= 0
Factorise:
(W +9)(W -5)= 0
W+9=0 or W-5=0
W= -9 or W= 5
(reject)
Substitute W= 5 into (2):
L= 5 +4
L= 9
∴ The dimensions of the garden is 9m ×5m.
HELPP!!! I need help ASAP
Answer:
the right answer is C
Step-by-step explanation:
___________
What is the slope of y=1/2x
Answer:
1/2
Step-by-step explanation:
If you know slope-intercept form, it is y = mx + b, and the value of m is the slope, so the slope = 1/2
Answer:
I'm not sure if you typed your question correct, But the slope is 1/2
Step-by-step explanation:
dababy less goo
1/4 x 1/6 x 1/12= What fraction did Phil eat of the pizza
Answer:
[tex] \frac{1}{288} [/tex]
Step-by-step explanation:
the 1 will always stay the same because all of them are 1's
4×6=24
24×12=288
Answer:
garage bozo
Step-by-step explanation: