Answer:
0.8664 = 86.64% probability that the goal will be met.
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.
Assume that the goal at Motorola is for the average defect rate to vary no more than 1.5 standard deviations above or below the mean of 3. How like is it that the goal will be met?
It should be within 1.5 standard deviations of the mean, which means that the probability is the pvalue of Z = 1.5 subtracted by the pvalue of Z = -1.5.
Z = 1.5 has a pvalue of 0.9332
Z = -1.5 has a pvalue of 0.0668
0.9332 - 0.0668 = 0.8664
0.8664 = 86.64% probability that the goal will be met.
Find the number of students who have access to both a computer and mobile phone?
Which expression is equivalent to -1/3(6x + 15) - 3?
Answer:
6-x=0
Step-by-step explanation:
-2x+12=0(divide by 2)
6-x=0
Answer:
D is the answer
-2x-8
Step-by-step explanation:
I hope this helps! ^^
Choose Yes or No to tell if the number 3 will make each equation true. 2 ÷ □ = 3 2 Choose... 2 ÷ 6 = □ Choose... 2 ÷ □ = 2 3 Choose... □ ÷ 8 = 3 8 Choose...
Answer:
1 no
2 yes
3 no
4 no
Step-by-step explanation:
2 ÷ □ =2/3, □ ÷ 8 = 3/8 is true for x is true which equation choose is yes.
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to choose yes or no to tell if the number 3 will make each equation true.
2÷□=3/2
To get 3/2 we have to divide two by three.
2/3=3/2
These are not equivalent so it is not yes.
The other expression 2 ÷ 6 = □
2 ÷ 6=1/3 which is not 3, so it is no.
The third expression
2 ÷ □ = 2/3
When we put 3 in the blank place we get two divided by three.
2 ÷ 3=2/3
Which is true so answer is yes for 3.
□ ÷ 8 = 3/8
When we put three in the blank we get three divided eight which is true.
3÷ 8 = 3/8 which is yes for 3.
Hence, 2 ÷ □ =2/3, □ ÷ 8 = 3/8 is true for x is true which choose is yes.
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Which function is best represented by this graph?
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
the -2 in the answer is the y intercept. 1/4 is the slop. rise over run, so up one and over four
The weight of a bass varies jointly as its girth and the square of its length (Girth is the distance around the body of the fish.) A prize-winning bass weighed in at 21.8 lb and
measured 33 in long with a 19-in girth. How much to the nearest tenth of a pound) would a bass 34 in long with a 21-in girth weigh?
The bass would weigh approximately
(Do not round until the final answer. Then round to the nearest tenth as needed.)
The new girth is 22 inches; the reference girth is 20 inches. The weight is proportional to the girth, so the reference weight will get multiplied by 22/20 = 11/10.
Step-by-step explanation:
1 2 /3 − 4 /5 =
Can you please help me
Answer:
hope it helped you...! :)
Help me solve this, it’s trig
Answer:
The answer is 6.451 or 6.5 rounded
Step-by-step explanation:
The way to solve this is to find all the degrees inside the triangle first
you have two given degrees which are 21 and 90 degrees
add those numbers up and subtract it from 180. That is the last corner degree
you then use that information to find all the side lengths using the given hypotenuse length.
Btw its geometry not really trig.
Answer: 6.45 units
Step-by-step explanation:
To solve for x, we will set up an equation using the trigonometric functions. We are given an angle (21 degrees), the opposite side of that angle (x), and the hypotenuse (18). For this, we will use the sine function.
sin(21) = [tex]\frac{opposite}{hypotenuse }[/tex]
sin(21) = [tex]\frac{x}{18}[/tex]
18sin(21) = x
x = 18sin(21)
x = 6.4506230 ≈ 6.45 units
A student bought a truck with a down payment of $4,000 and monthly payments of
$250 for four years. What was the total cost of the truck?
what is the least common denomimator for 1/3 and 1/2
Answer:
its equals 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Cherie writes an expression with 4 terms. Three of the terms are like terms. How many
terms are in the equivalent expression with the least number of terms? Explain your
reasoning.
Answer:
like terms are terms that contains same variable
The required equivalent expression with the least number of terms has 2 terms.
What is a number system?A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
If three of the terms are like terms, then we can combine them into a single term. Let's say that the expression with 4 terms is:
a + b + c + d
where a, b, and c are like terms. Then we can combine them to get:
(a + b + c) + d
which is an expression with only 2 terms.
So the equivalent expression with the least number of terms has 2 terms. We can do this by combining the like terms to simplify the expression.
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The table below lists the means and standard deviations for 5th graders in the district and for the norm group for
student performance in four different subjects. According to the table, the performance of the 5th graders in the
district is more variable than that of the norm group in which subject(s)?
ed
ati
n
100
Sc
Geography English Spelling Science
Mean of all 5th graders in District (150 students) 75
125 90
SD of these 5th graders
12
10 12 20
Mean of the Norm Group
85
100 120 90
SD of the Nom Group
10
10 15 15
ww
sti
20
ker
ndo
ted
Geography, Spelling, and Science
Geography and Spelling
Geography and Science
Spelling only
Science only
Geography only
lccr
Sa
le au
isid
Answer:
Can you please format this? it's hard to understand right now
What is the standard form of the equation y = -x - 2?
A. X + y = -2
B. x = -y - 2
C. y + x = 2
D. y - x= -2
Answer:
bgyr5y53bygtr3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
go backwords y+x = 2
y=1
x=1
4. Tori bought x shares of Mattel stock for m dollars per share. She sold
all of the shares months later for y dollars per share. Express her cap-
ital gain or loss algebraically.
Answer:
mx = y
or
y = mx
Step-by-step explanation:
If she pays m per share, and x represents each share, you will multiply m and x. If she sold all them for the value of y. Then you set mx equal to y.
mx = y
or
y = mx
A study of drive-thru wait times for fast-food restaurants found that the average time spent Wendy's drive-thru was 138.5 seconds. Assume that drive-thru wait times are normally distributed with a standard deviation of 29 seconds, A Wendy's owner wants to give a free Frosty to customers who have an unusually long wait in the drive-thru.
The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than ________ seconds) is _________ seconds (give your answer to 2 decimal places).
Answer:
207.72 seconds.
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.
Mean waiting time of 138.5 seconds, standard deviation of 29 seconds.
This means that [tex]\mu = 138.5, \sigma = 29[/tex]
The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than
The 100 - 0.75 = 99.15th percentile, which is X when Z has a pvalue of 0.9915, so X when Z = 2.387.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.387 = \frac{X - 138.5}{29}[/tex]
[tex]X - 138.5 = 2.387*29[/tex]
[tex]X = 207.72[/tex]
So the answer is 207.72 seconds.
-3 + 8n = -5
what is n?
Answer:
-1/4
Step-by-step explanation:
There are 224 gallons of water in 16 tanks.
Find the number of gallons of water per tank
Answer:
14 gallons
Step-by-step explanation:
224/16 = 14
Answer:
The answer is B.
Step-by-step explanation:
Which expression is equivalent to 64y18 – 1000z6?
Answer:
8 * (2y⁶ - 5z²) ( 4y¹² +10 y⁶z² + 25z⁴)
Step-by-step explanation:
64y¹⁸ – 1000z⁶ = 8 * (8y¹⁸ - 125z⁶) = 8 * ((2y⁶)³ - (5z²)³)
= 8 * (2y⁶ - 5z²) ( 4y¹² +10 y⁶z² + 25z⁴)
Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
long and one pair in 2 inches long. What shape could Tyshawn have drawn?
Answer:
Rectangle
Step-by-step explanation:
2 inches × 2 sides and 4 inches × 2 sides = a rectangle
What is the probability that both ties he chooses are solid white
Answer:
[tex]\frac{1}{25}[/tex]
Step-by-step explanation:
Total outcome is 10
Favorable outcome is 2
The probability to choose solid white tie is [tex]\frac{1}{5}[/tex]
The probability that both ties he chooses are solid white is
[tex]\frac{1}{5}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{25}[/tex]
please help me with this it is about how wide the patio doors will be
9 centimetres is probably most accurate
Answer:
36cm
Step-by-step explanation:
The function g is defined as follows.
g(x) = 2x²+7
If the graph of g is translated vertically downward by 5 units, it becomes the graph of a function h.
Find the expression for h(x).
x
Answer:
h(x) = 2x²+2
Step-by-step explanation:
Given the function g is defined as follows.
g(x) = 2x²+7
If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;
h(x) = 2x²+7 - 5
h(x) = 2x²+2
Can someone answer these 3? I’ll reward double points + brainalist
What is the solution for inequality on the model
Answer:
option 1 is correct. that is the answer
Umm I am sooooo confused what is the shape called pls pls pls help!!!!
Answer:
its a pentagon thoses have five sides
Step-by-step explanation:
which equation represents the linear function that is shown on the graph
Answer:
Y = (1/2)x - 2
Step-by-step explanation:
To compose a linear equation, always use the form
Y = Mx + C where C is the y-intercept and M is the gradient.
In this case, pick any 2 points on the graph to solve for M
e.g (8,2) and (6,1)
Gradient = (2 - 1) /(8 -6) given by (y1 - y2) / (x1 - x2) = 1 / 2
Substitute into the form, we get
Y = (1/2)x + C
Now, we use any point again on the graph,
e.g (6,1) and substitute as (x, y) into the above function.
We will get 1 = (6)(0.5) + C
C = -2
Piece them up and u get the full function.
The sum of seven and x
Answer:
Step-by-step explanation:
s=7+x
I need help with this ASAP please help me with all of them this is for a grade
Answer:
4, 26, 18, 3, 44, 65,99,6,128,28
<, =,=, <
Step-by-step explanation:
pro tip absolute vale just means the distance from 0
In the manufacturing division of a particular company, there are 68 hourly employees and 30 for salaried employees to employees from the manufacturing division are randomly selected to represent the company and I'm coming conference what is the probability that both employees have the same type of pay structure
What is 54.77 rounded to the nearest hundredth ?
Which equation represents this statement and its solution?
24.63 multiplied by 3.2
Answer:
not sure
Step-by-step explanation:
lol