Answer:
a) [tex] z= \frac{34-34}{2.5}= 0[/tex]
[tex] z= \frac{39-34}{2.5}= 2[/tex]
And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %
b) [tex] P(X<31.5) [/tex]
[tex] z= \frac{31.5-34}{2.5}= -1[/tex]
So one deviation below the mean we have: (100-68)/2 = 16%
c) [tex] z= \frac{29-34}{2.5}= -2[/tex]
[tex] z= \frac{36.5-34}{2.5}= 1[/tex]
For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%
Step-by-step explanation:
For this case we have a random variable with the following parameters:
[tex] X \sim N(\mu = 34, \sigma=2.5)[/tex]
From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.
We want to find the following probability:
[tex] P(34 < X<39)[/tex]
We can find the number of deviation from the mean with the z score formula:
[tex] z= \frac{X -\mu}{\sigma}[/tex]
And replacing we got
[tex] z= \frac{34-34}{2.5}= 0[/tex]
[tex] z= \frac{39-34}{2.5}= 2[/tex]
And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %
For the second case:
[tex] P(X<31.5) [/tex]
[tex] z= \frac{31.5-34}{2.5}= -1[/tex]
So one deviation below the mean we have: (100-68)/2 = 16%
For the third case:
[tex] P(29 < X<36.5)[/tex]
And replacing we got:
[tex] z= \frac{29-34}{2.5}= -2[/tex]
[tex] z= \frac{36.5-34}{2.5}= 1[/tex]
For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%
32. Mr. Fernández packed 31 red apples and 41 green apples into a box for a customer. He
packed 8 boxes like this. Mr. Fernández used this equation to find x, the number of apples
he packed into all the boxes.
x = (31 + 41)8
How many apples did Mr. Fernández pack into the boxes?
A. 576
B. 568
C. 80
D. 10,168
Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new
job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off
his debt. He constructs the expression 36, 700 - (5,000+ 500m)to represent the size of his debt after m months. Which number
describes the value of his signing bonus?
I need help plz
Answer:
Michael needs to save $63.40, approximately.Step-by-step explanation:
The given expression is
[tex]36,700 - (5,000 + 500m)=0[/tex]
Where [tex]m[/tex] is months.
We need to solve for the variable.
[tex]36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4[/tex]
Therefore, Michael needs to save $63.40, approximately.
Answer:
The number representing describing the value of his signing bonus = 5,000.
Step-by-step explanation:
Total debt = $36,700
He pays $500 every month from his monthly salaries, since m = months.
The $5,000 is the amount of his signing bonus, which puts entirely towards paying off his debt.
It is like the fixed payment. While the 500m is the variable payment per month.
So, at the end of any number of months, you can easily calculate the remaining debt using the expression, 36,700 - (5,000 + 500m)
Which observation supports the idea that light is made of particles
Answer:
light moves in a straight path
Step-by-step explanation:
Answer:
D on edge
Step-by-step explanation:
took the test bb
On Tuesday, the bottles of iced tea filled in a plant were supposed to contain an average of 20 ounces of iced tea. Quality control inspectors sampled 50 bottles at random from the days production. These bottles contained an average of 19.6 ounces of iced tea
Identify the population
Identify the parameter
Identify the sample
Identify the statistic
Answer:
i) The bottles of iced tea filled in a plant is the Population
ii) The Average of Population μ = 20 is called Parameter
iii) The sample size 'n' = 50
iv) The mean of the sample 'x⁻ = 19.6 ounces
Step-by-step explanation:-
Population:-
The total number of observations which we are concerned , whether this number be finite or infinite is called Population.
In Given data
The bottles of iced tea filled in a plant is the Population
Parameter:-
The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.
The Average of Population μ = 20 is called Parameter
Sample:-
A sample is a subset of population
given data sample size n=50 bottles at random from the days of production
Statistics
The sample mean x⁻ and variance S² is called statistics
Given data
These bottles contained an average of 19.6 ounces of iced tea
x⁻ = 19.6 ounces
What is the slope of a line perpendicular to a line with slope -8
Answer:
1/8
Step-by-step explanation:
You would need to get the reciprocal of negative eight and then change the sign so you would get 1/8
The average mark of c
andidates in an aptitude test was 128.5 with a standard deviation of
8.2. Three scores extracted from the test are; 148, 102, 152. What is the average of the
extracted scores that are extreme values (outliers)?
Answer:
The average of the extracted scores that are extreme values (outliers) = 102
Step-by-step explanation:
With the logical assumption that the population size is large enough, for a normal distribution,
68% of the data lies within 1 standard deviation of the mean.
95% of the data lies between 2 standard deviations of the mean.
99.7% of the data lies within 3 standard deviations of the mean.
So, the outliers for a normal distribution are usually beyond 3 standard deviations of the mean.
The mean = 128.5
Standard deviation = 8.2
The range of scores within 3 standard deviations of the mean is obtainable thus
(Mean ± 3standard deviations)
3 × standard deviations = 3 × 8.2 = 24.6
(128.5 ± 24.6) = (103.9, 153.1)
The 3 extracted scores are 148, 102 and 152. The only extreme value of these 3 extracted scores is 102. The two other scores are within the range of 3 standard deviations of the mean.
Hence, the average of the extracted scores that are extreme values (outliers) = 102
Hope this Helps!!!
IL GIVE YOU BRAINLIST !! * have to get it right * An equation for the line graphed is
Answer:
y = 3/2x+3
Step-by-step explanation:
The y intercept is 3. That is where it crosses the y axis
The slope is
m= (y2-y1)/(x2-x1) and we have points(0,3) and (-2,0)
= (0-3)/(-2,0)
=-3/-2
=3/2
Using the slope intercept form of a line
y = mx +b where m is the slope and b is the y intercept
y = 3/2x+3
A 14-foot ladder is leaning against the side of a house.The angle the ladder makes with the ground is 50 degrees. How far is the base of the ladder from the house to the nearest tenth of a foot
Answer:
9 ft
Step-by-step explanation:
You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:
cos(50)=x/14
Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).
A class of 64 students was given 320 book how many will each students take home
Each student will take=320/64
=5
So the answer is 5.
Hope it will be helpful to you...
✧◝(⁰▿⁰)◜✧
40/50 to a simpel fraction
Answer:
4/5
Step-by-step explanation:
just divide by 10 since that's the largest number that both numbers can equally be divisible by
Answer:
4/5 because 40/50 simplified is 4/5 bc you knock off the zeros for question like that
Step-by-step explanation:
What is the area of a rectangle with sides length of 5/12 feet and 2/3 feet
Answer:
The answer is 10/36 or if you want to simplify, 5/18
Step-by-step explanation:
To solve the area of a rectangle, you need to multiply the sides with each other, so 5/12 x 2/3 is 10/36 (unsimplified) . You multiply the numerators and then the denominators and simplify.
Do you remember the difference between a row and a column
in Math?
Math Help!!! Can someone solve this?? I will give you Brainliest!!!!!!
Answer:first one is false, second is true and third is true
Step-by-step explanation:
How large is the largest button in the jar ? , is this an statistical question ?
Kevin goes to the grocery store and buys a box of cereal, a family size box of cereal, a candy bar, and a king sized candy bar. He notices that the family sized box of cereal is twice as big as the regular box of cereal and the king size candy bar is twice as big as the regular candy bar. Kevin believes that because the family sized box of cereal and king sized candy bar are twice the size that the volume is also twice the size. Is Kevin correct in his thinking?
In order to evaluate the performance of the artificial pancreas, a researcher randomly draw 5 rats as a control group, and draw other 5 rats as a treatment group. The control group did not receive the artificial pancreas, the treatment group did. The research wanted to compare the blood-sugar readings for the treatment group with those of the control group. The treatment group has a sample mean blood-sugar reading Y = 400 unit and a standard deviation Si = 80 unit. The control group has a sample mean blood-sugar reading Y, = 200 unit and a standard deviation S2 = 50 unit. Assume the population variances are not equal, calculate the standard error for the difference of the sample means Ý -Y (Round to three decimal places)
Answer: 42.190
Step-by-step explanation:
From the question, the population variances are not equal. The calculation has been attached in the picture below.
The answer is 42.190 to 3 decimal places.
if a sample of 57 swimmers is taken from a population of 135 swimmers, the population mean is the mean of how many swimmers' times?
Answer:
135
Step-by-step explanation:
A P E X
A parallelogram has a length of 15cm and a height of 7.5cm. Calculate it’s area.
Step by step please
Answer:
112.5
Step-by-step explanation:
To find the area of a parallelogram, you can simply multiply the length of the base by the height. In this case, this is 15*7.5=112.5 square centimeters. Hope this helps!
Answer:
Step-by-step explanation:
What’s the correct answer for this?
Answer:
c
Step-by-step explanation:
Answer:
P=19.2 ft
Step-by-step explanation:
ACCORDING TO THE THEOREM,
BC=2(DE)
So BC =2(3.2)
BC=6.4 ft
Now
AB=2(EF)
AB=2(4)
AB=8 ft
Now
AC = 2(DF)
AC= 2(2.4)
AC=4.8 ft
Now we're gonna find the perimeter which is sum of all sides
Perimeter=4.8+8+6.4
P= 19.2 ft
On a team, 8 girls and 5 boys scored a total of 94 points. The difference between the number of points scored by the 8 girls and the number of points scored by the 5 boys is 34. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy
Answer:
g = 8 points
b = 6 points
Step-by-step explanation:
If each girl scores g points, and each boy scores b points, then:
8g + 5b = 94
8g − 5b = 34
Add the equations together.
16g = 128
g = 8
Solve for b in either equation.
8(8) + 5b = 94
5b = 30
b = 6
Can u guys help me plz!!!
Answer:
1 is B
2 is B
3 is D
4 is C
Step-by-step explanation:
Dont care enough to explain all of them
help me as soon as possible please
Answer:
65.45 units^3
Step-by-step explanation:
5/2 (5 divided by 2) 2.5, to get the radius,
then using the volume equation you get 65.449846-bla bla, rounding: 65.45
-Hope this helps! ❤️
Can somebody please help with these two questions?
Answer:
#3: x is approximately 0.37, -5.37, #4: x is approximately 4.19, -1.19
Step-by-step explanation:
You can solve using the quadratic equation or by solving with the perfect square
[tex]\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex] = [tex]x^{2}+5x-2=0\\ \frac{-5+/-\sqrt{5^{2}-4(1)(-2) }}{2(1)}[/tex]
x is approximately 0.37, -5.37
The equation of a circle is given below.
(x + 7) + (y + 8)= 4/9
What is its center?
What is its radius?
If necessary, round your answer to two decimal places,
units
Show Calculator
Answer: center (-7,-8) radius (2/3)
Step-by-step explanation:
which is the equation of an asymptote of the hyperbola whose equation is (x-2)^2/4 - (y-1)^2/36 =1
Answer:C
Took the test
Step-by-step explanation:
The equations of an asymptote of the hyperbola are y = 3x - 5 and y = -3x - 5.
What are the standard form of hyperbola and asymptotes?The standard form of a hyperbola is:
(x-h)²/a² - (y-k)²/b² = 1
The general equation of the asymptotes for a hyperbola centered at (h,k) with semi-axes a and b is given by:
(y - k) = ± (b/a)(x - h)
To find the equations of the asymptotes of the hyperbola with equation:
(x-2)²/2² - (y-1)²/6² = 1
Plugging in the values, we get:
(y - 1) = ± (6/2)(x - 2)
Simplifying:
y - 1 = ± 3(x - 2)
y = ± 3x - 5
Therefore, the equations of the asymptotes for the given hyperbola are y = 3x - 5 and y = -3x - 5.
To know more about hyperbola check:
https://brainly.com/question/15702563
#SPJ7
Simplify the remaining expression completely x^6y^4/xy^2
Answer: x^5y^2
Step-by-step explanation:
Answer:
the answer is a on edge 2020
Step-by-step explanation:
I just took the test
Please help me with this math question. Thank You so much
Answer:
1/32
Step-by-step explanation:
1/4 divided by 8 equals 1/32 using calculator. No explanation really... Brainliest?
Answer:
1) 1/32
Step-by-step explanation:
1/4 = 0.25
0.25/8 = 0.03125
turn 0.03125 into a fraction and get = 1/32
I need help if you answer it ill make you the brainliest!!!
2x+5= 17
what is the value of X?
Which description matches finding the volume of the solid?
Answer:
Cylinder + Rectangular Prism
Step-by-step explanation:
On the sides we can see 2 half-cylinders. 2 half-cylinders make up 1 whole cylinder. In between the half-cylinders, a rectangular prism is squashed.
Think of this as a sandwich, the 2 buns are half cylinders, and the meat is the prism.
Therefore the answer is a cylinder and a rectangular prism.
Whats the Doubled Recipe ?
4 ½ ripe tomatoes
⅝ red onion
⅖ garlic cloves
3 jalapenos
⅓ cupe fresh cilantro
3 tablespoons fresh lime juice
2 ½ teaspoons ground cumin
2 ¾ teaspoons
1 ½ teaspoons salt
15 ounces crushed tomatoes ( 1 can)
4.5 ounces diced green childes (1 can)
Answer:
9 ripe tomatoes
1 1/4 red onion
4/5 garlic cloves
6 jalapeños
2/3 cup fresh cilantro
6 teaspoons ground cumin
5 1/2 teaspoons
3 teaspoons salt
30 ounces crushed tomato (2 cans)
9 ounces dices green chilies (2 cans)
