Answer:
0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm).
This means that [tex]\mu = 5[/tex]
With a standard deviation of 0.02 mm.
This means that [tex]\sigma = 0.02[/tex]
(a) What proportion of ball bearings has a diameter more than 5.03 mm
This is 1 subtracted by the pvalue of Z when X = 5.03. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.03 - 5}{0.02}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
1 - 0.9332 = 0.0668
0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm
The cost of 3 scarves is $66.75. What is the unit price?
Answer:
Divide $26.25 by 3 to find out the cost of the unit price. It is $8.75.
Answer:
8.75
Step-by-step explanation:
6,541 round to the nearest thousand
Answer:
its 7,000
Step-by-step explanation:
its 7,000 because the 5 in the hundreds place is 5 or higher so any that is higher then 5 you add a 1 to the number you rounding and you take it over to the next column.
Identify the coordinates for point D Awnser. Fast!
Answer:
(1,1.5)
Step-by-step explanation:
x = 1
y = 1.5
George bought a car at $5000 and sold it at $5500. What benefit, in percent, did he
make?
a. 500%
b. 10%
C. 5000%
0.5%
The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.
Calculation of the percentage:Since George bought a car at $5000 and sold it at $5500
So, the profit percentage be like
[tex]= (5500 - 5000) \div 5000[/tex]
= 10%
hence, The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.
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Elimination method 10x-4y=-8
-5x+6y=10
kaylie swims 1500m every monday,,wednesday, friday, and saturday. Sunday, she swims 1800m. how much km does she swim each week?
Answer:
If she swims everyday but tuesday and sunday she would had swim 6000m a week But if you going to count sunday she swims, 7800m a week.
Step-by-step explanation:
Start off with 1500m.
Since it's monday, wednesday, friday and saturday it would be
1500x4
Which equals 6000. If you want to add sunday into it just take the 6000 and add 1800 and you will get
7800.
Espaol
A math class has 7 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both girls?
Write your answer as a fraction in simplest form.
M
Answer:
61%
Step-by-step explanation:
7g+3b= 7th grade
4g+4b= 8th grade
70% chance of a girl getting picked from 7th grade
50% chance of a girl getting picked from 8th grade class
11g+7b= both classes
about 61% chance for both classes to be a girl picked?
Which of the following best describes a square root?
Answer:B
Step-by-step explanation: a factor of a number that is multiplied by itself
A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?
Answer:
4 cups
Step-by-step explanation:
The multipliers that will create opposite terms of the y-variable for this system have been determined. Use the equivalent system of equations to solve the system. 4(3x − 1 4 y = 15) → 12x − y = 60 −6(2 3 x − 1 6 y = 6) → − 4x + y = − 36 What is the solution to the system of equations? ( , )
Answer:
The answer to the multipliers that will create opposite terms of the y-variable for this system have been determined. Use the equivalent system of equations to solve the system. is (3, -24)
Step-by-step explanation:
Answer:
3 -24
Step-by-step explanation:
got it right
5x5=? someone help please
Answer:
25
Step-by-step explanation:
Help me please this is a test and I don’t want to fail
Answer: 0.4%
40%
37.5%
Step-by-step explanation:
Draw a model to show 100 ounces of soda divided equally among 12 people. How many
ounces will each person have?
Answer:1,200
Step-by-step explanation:
Answer:
1,200
Step-by-step explanation:
What is 2/5 divided 1/6
Which strategy uses place value to correctly solve for 321 x 4?
Answer:
300x4 =1200
20x4 = 80
1x4 =8
1288
Step-by-step explanation:
Break apart 321 = 300+20+ 1
This is the hundreds, tens, and ones
Then multiply each by 4
Add all together to get answer
Is 6/10 more than 3/4
Answer:
3/4 is greater
Step-by-step explanation:
3/4 > 6/10
Answer:
3/4 is more
Step-by-step explanation:
divide 6/10 by 2 to get a simpler fraction. that will be 3/5. to make 3/5 and 3/4 have a common denominator you need to multiply 3/5 by 4 which is 12/20, then 3/4 by 5 which is 15/20.
11. Find the slope given two points.
(-1, 4) and (4, -3)
Answer:
m = -7/5
Step-by-step explanation:
Find f(-4) for f(x)=x^4-7x^2-12
Determine whether the ratios 1:1 and 6:6 are equivalent
Answer:
its is because if you divide 6:6 by 6 it equals 1:1
Step-by-step explanation:
plz brainliest i need it to rank up
Answer:
They are equivalent
Step-by-step explanation:
1:1 is the same as 6:6 because 6:6 is technically 1:1 when you divide both sides by 6.
what is slope of y=-x+7
Answer:
y = mx + b
because there is no number in front of the x we automatically assume the answer is 1
so the slope for the equation y = -x + 7 is -1
slope is -1
Step-by-step explanation:
if thats wrong then the slope is 1
hope this helps:)
math giving 29 points
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
We have that theses Can affect the price if grape indirectly
Salaries WagesEnvironmentPeopleFrom the question we are told
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
Independent variablesGenerally Independent variables are variables that are not dependent on the price of grape fruits directly
Therefore
We have that
Salaries WagesEnvironmentPeople Can affect the price if grape indirectly
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The fifth term of an arithmetic sequence is 23 and the 12th term is 72? Determine the first three terms of the sequence and the nth term
Answer:
the first term is a1
the distance between the numbers is d
we have:
a5 = a1 + 4d = 23
a12 = a1 + 11d = 72
so we have the equation:
a1 + 4d = 23
a1 + 11d = 72
=> a1 = -5
d = 7
=> an = -5 + 7(n - 1) = 7n - 12
with an = 7n - 12
=> a2 = 2
a3 = 9
so the first three terms is -5; 2; 9
2y - 2x = 8
y + 6x = 11
If (1,5) is the solution to the system of equations above, what is the value of 5y?
Answer:
2
Step-by-step explanation:
is this for a test because if so good luck
Answer:
its 20 Period
Step-by-step explanation:
what is 702/0.06
pls help
Answer:
11700
Step-by-step explanation:
I'm not sure if that is a fraction or if you're trying to divide it. That is the answer if you're trying to divide. Hope it helps.
What is the percentage of 65% of 34?
Answer: 65% of 34 is 22.1
Step-by-step explanation: Formula: 65% of 34 = 0.65 x 34 = 22.1
1. Convert 65% to a decimal. 0.65%
2. Multiply 0.65 by 34.
0.65 x 34 = 22.1
Answer:
22.1
Step-by-step explanation:
multiply 0.65 by 34
simplify 0.65 by 34
equal 22.1
Identify the solution to the system of equations
4x-y=7
-12x+3y=-21
Answer:
Step-by-step explanation:
The equations are not independent. They represent the same graph.
There are an infinite number of solutions.
Elliot has 4 1/3 candy bars. He gives 2/3 of a candy bar to Sara and 1/3 of a candy bar to Bill. How much does Elliot have left? (Work it out)
Answer:
10/3 or 3 1/3
Step-by-step explanation:
4 1/3= 13/3 as a mixed fraction
he gives 2/3 to sara:
13/3 - 2/2= 11/3
then he gives 1/3 to bill:
11/3-1/3= 10/3
he has 10/3 which is equal to 3 1/3
i need help!!!!!!!!......
Answer:
x² / z²
Step-by-step explanation:
i factored each expression and when it came to division, I multiplied by the reciprocal
[x(y + z) / z(x - z)] · [y(x - z) / z(x + y)] · [x(x + y) / y(y + z)]
re-write the above in a horizontal fraction form and it will be easier to follow
find value of x also the answer choices are
a. 62.5
b. 9.65
c. 71.35
d. 103.25
Answer:
D.103.25
Step-by-step explanation:
To find the value of x, you need to know that the height of the donkey and the cactus are proportional and that the shadow of the donkey and cactus are also proportional to each other. Thus, you need to create a proportional and cross multiply to find the value of x.
x/59 = 7/4
After you cross multiply, the equation should look like this:
4x=413
Finally, you divide both sides or numbers by 4 to get 103.25 as your answer! Hope this helps!
