Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
Find the length of the line segment formed by the points (2, 3) and (2, 5)
Answer:
2 units
Step-by-step explanation:
Given data
The points are (2, 3) and (2, 5)
x1= 2
y1= 3
x2= 2
y2= 5
substitute into the distance between two points formula
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-2)²+(5-3)²)
d=√(2)²)
d=√4
d= 2 units
Hence the length is 2 units
A town with a population of 5,000 grows 3% per year. Find the population at the end of
10 years.
Answer:
6,500
Step-by-step explanation:
5000x.03=150
150=3%
150x10=1500
1,500+5,000= 6,500
A school event requires at least 3 parents for every 8 kids. How many parents for 40 kids
Answer:
15 parents
Step-by-step explanation:
1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represents his constant speed, C?
This equation shows how the cost of a cab ride depends on the distance in miles. C = d + 2 The variable d represents the number of miles driven, and the variable c represents the cost in dollars. How long is a cab ride that costs $7?
Which property of multiplication is shown?
6 x 5 = 5 x 6
Answer:
Commutative Property of Multiplication
I hope this helps you :D
Commutative
The commutative property tells us that two addition and multiplication sentences are equal no matter the order.
For example:
3+4=4+3
6 x 5= 5 x 6
Hope this helps. Please give brainiest.
As a salesperson for an electronic parts distributor, you are given two options for your salary structure. The first option has a base salary of $300 a week plus 4% of all sales made. The second option has a base salary of $100 plus 7.5% commission on all sales. Find the sales amount that will result in the two options having the same weekly salary.
Answer:
The amount of sale is approximately 5714.
Step-by-step explanation:
Let x be the sales made that will result to the same salary and let y be the same weekly salary.
We can represent both salaries as follows:
300 + 0.04x = y
100 + 0.075x = y
Subtracting the second equation from the first, we have:
200 – 0.035x = 0
0.035x= 200
x = 200/0.035
x ≈ 5714.
Therefore, the amount of sale is approximately 5714.
give me stuff thats equivalent to 2/10
plz
i dont know my mafs
Combine like terms.
3(2-5) – (4w=11)
Answer:
-5 = w
Step-by-step explanation:
3(2-5) – (4w=11)
Distributive property
6 - 15 - 4w = 11
Combine like terms
-9 - 4w = 11
Add 9 on both sides
-9 + 9 - 4w = 11 + 9
-4w = 20
Divide by -4 on both sides to isolate the variable
-4w/-4 = 20/-4
w = -5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
i can solve this put first why is there an equal sign in between the parantasis
if you want to keep the equal sign delet the ()
Step-by-step explanation:
3(2-5) – 4w=11
-9-4w=11
-4w=20
w=-5
you have to do parantasis first
p--parantasis
e--exponents
m--multiplication
d--division
a--adition
s--subtraction
Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me i’ll give brainliest!)
The distance from Salvador’s job to his house is three times greater than the distance from his house to the school. If his house is between his job and the school and the distance from his job to the school is 6 miles, how far is it from Salvador’s house to the school?
SHOW YOUR WORK pls and ty
Answer:
His school is 1.5 miles away :)
Step-by-step explanation:
6/4 = 1.5 miles
1.5 miles means his house is 1.5 miles from his school
Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.
4.5 + 1.5 = 6 miles
The distance between Salvador's house and his school is 1.5 miles
Let :
Distance from house to school = dTherefore;
Distance from job to house = 3dThen ;
Distance from job to school = 6 milesSince, house is in between job and school :
Distance from job to school = d + 3d 6 miles = 4d d = 6 ÷ 4 = 1.5 milesThe distance from house to school = d ; hence, distance between his house and school is 1.5 miles.
Learn more : https://brainly.com/question/8018593?referrer=searchResults
what is the slope intercept form of 7x-5y=15?
Answer:
y=7/5x-3 is the slope intercept form
Why is 16 the answer to 10. x / 2 - 5 = 3? I need an answer today.
Hi there!
[tex]\large\boxed{x = 16}[/tex]
x / 2 - 5 = 3
Begin by adding 5 to both sides to isolate for x:
x / 2 - 5 + 5 = 3 + 5
x / 2 = 8
Multiply both sides by 2 to have "x" alone on the left-hand side:
(x / 2) × 2 = 8 × 2
x = 16
Answer:
because if x is 16
16/2 = 8 and so on 8 - 5= 3 so that is the answer
Step-by-step explanation:
The quotient obtained when (9 greater than x) is divided by (z plus 1)
HELP! Below is the graph of a polynomial. Which statement about this graph is true?
A. The point (-2,1) is a maximum
B. The point (5,0) is an extreme
C. The point (2,-1.12) is a minimum
D. The point (2,-1.12) is a maximum
The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?
Answer:
Smaller
Step-by-step explanation:
Example: say the original size is 100
increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120
reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is 96.
100>96
Brayden can type 270 words in 3
minutes. How many words per
minute can Brayden type?
Answer: 90 words per minute
====================================================
Work Shown:
270 words : 3 minutes
270/3 words : 3/3 minutes ..... divide both parts by 3
90 words : 1 minute
Brayden can type 90 words per minute (wpm).
divide the following
3554by10
4678 by 40
Select the correct answer.
The branch manager of a clothing store is analyzing the average total bill of sale for his location. The national manager has communicated that
the overall population mean is $45.90 with a standard deviation of $10.3.1. The branch manager has a sample of 400 total bills of sale for his
location. By the central limit theorem, which interval can the branch manager be 95% certain that the sample mean will fall within?
Answer:
We can be 95% certain that the sample mean will fall within $44.87 and $46.93
Step-by-step explanation:
Empirical Rule:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
Mean $45.90, standard deviation $10.31.
Sample:
By the Central limit theorem, mean $45.90, standard deviation [tex]s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155[/tex]
Which interval can the branch manager be 95% certain that the sample mean will fall within?
By the Empirical Rule, within 2 standard deviations of the mean. So
45.90 - 2*0.5155 = $44.87
45.90 + 2*0.5155 = $46.93
We can be 95% certain that the sample mean will fall within $44.87 and $46.93
What is the constant of proportionality of y=9x so what does k=
Mark each statement True or False.
1. The equation Ax = b is referred to as a vector equation.
A. True
B. False
2. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.
A. True
B. False
3. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
A. True
B. False
4. The first entry in the product Ax is a sum of products.
A. True
B. False
5. If the columns of an m x n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
A. True
B. False
Answer:
True
Step-by-step explanation:
False
True
False
True
True
A 16-oz bottle of parmesan cheese costs $5.78, while an 8-oz bottle costs $3.97. Which is the better buy? Round
your answer to the nearest cent if necessary.
Answer:
The 16-oz bottle is a better buy
Step-by-step explanation:
Find the better buy by finding which one has a lower price per ounce:
Calculate the price per ounce of both bottles by dividing the cost by the number of ounces
5.78/16
= 0.36
3.97/8
= 0.5
Since 0.36 is smaller than 0.5, the 16 ounce bottle is a better buy.
Answer:
The 16-oz bottle of parmesan cheese is the better buy.
Step-by-step explanation:
It is the better buy because, if you compare the prices and the ounces, I say that the 16-oz is the best buy.
1.488 divided by 2.1 rounded to nearest tenth
Kimani says that the slope of the line between points B and C is greater than the slope of the line between points A and B .
Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B.
Answer:
Kiara is correct
.............
Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the figure
Slope between A and B = rise/ run 3/3 = 1
and, slope between B and C = 5/5 = 1
So, the slope between A and B is same as the slope between B and C.
Hence, Kiara has correct statement.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ5
How many groups of 10 are in 60?
Answer:
6
Step-by-step explanation:
10, 10, 10, 10, 10, 10. Those are 6 tens
I will give the BRAINIEST
Simplify. Write your answer in standard form.
(4x^3+6x-7)+(3x^3-5x^2-5x+9)
Answer:
Step-by-step explanation:
Combine like terms.Like terms have same variable with same exponent
4x³ + 6x - 7 + 3x³ - 5x² - 5x + 9 = 4x³ + 3x³ - 5x² + 6x - 5x - 7 + 9
= 7x³ -5x² + x + 2
The price of an item has been reduced by 80%. The original price was $25. What is the price of the item now
Answer:
$5
Step-by-step explanation:
25-80%=5
What is the approximate distance from one corner of the soccer field to the opposite corner?
60
yards
9.6
100 yards
Answer:
I think Your best answer would be 117 yards.
Step-by-step explanation:
(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D
Answer:
2 2/5
Step-by-step explanation:
3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5
Answer:
3/10 of the pizza is given to each person
Step-by-step explanation:
total number of people= 10
number of pizzas=3
as a fraction, this would be 3/10
you can also use this as 30 out of 100 if that's easier to understand.
Hope this helps ༼ つ ◕_◕ ༽つ
Simplify
57
leaving your answer in index form.
