Answer:
No significant difference between mean and Expected value
Step-by-step explanation:
Hypothesis
H0 : u = 77.5
H1: u is not equal to 77.5
Alpha = 0.05
Mean = Σxi/n
= 77.09+75.37+72.42+76.84+77.84, +76.69+78.03+74.96+77.54+76.09+81.12+75.75/12
= 919.74/12
= 76.645
We get the variance s² = xi² -n(barx)²/n-1
= 77.09²+75.37²...75.75²-12(76.645)²/11
When we solve this out
We get 4.3486818182
T test = barx - u/(s/√n)
= (76.645-77.5)/√4.3486818182/12
= -1.420293
T critical = Tn-1, alpha/2
= 2.200985
The test statistic is less than 2.201 so we accept the null hypothesis at 0.05 level of significance. And then conclude that there is No significant difference between mean and Expected value.
382 3/10- 191 87/100
Answer: 382 3/10- 191 87/100= 190 43/100
Simple math hope it helps u
Step-by-step explanation:
What is the square root of ten
Answer:
The square root of 10 is 3.16
Step-by-step explanation:
I hope that this helps you out..
an account executive earns 600 per month plus 3% commission on sales. the executive's goal is to earn $2400 this month. how much must she sell to achieve this goal?
Answer:
$60,000
Step-by-step explanation:
Given :
Monthly earning = $600
Commission = 3%
Month's goal = $2400
Let total sales for the month = x
Hence,
Monthly earning + (commission * total sales) = monthly goal
600 + (0.03 * x) = 2400
600 + 0.03x = 2400
0.03x = 2400 - 600
0.03x = 1800
x = 1800 / 0.03
x = $60,000
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
O 0.2304
0.8598
0.1402
O 0.3706
Answer:
0.1402
Step-by-step explanation:
For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.
This means that [tex]p = 0.44[/tex]
Suppose researchers choose 7 baby elk at random to monitor.
This means that [tex]n = 7[/tex]
What is the probability that more than 4 elk in the sample to survive to adulthood?
This is:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]
[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]
[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]
0.1402 probability that more than 4 elk in the sample to survive to adulthood.
Using the concept of binomial probability, the probability that more than 4 survive is 0.1402
Using the binomial probability formula :
[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex] p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7The probability that more than 4 survive can be defined thus :
[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]Using a binomial probability calculator :
[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]
[tex] P(x > 4) = 0.1402 [/tex]
Hence, the probability that more than 4 survive is 0.1402
Learn more : https://brainly.com/question/15929089
How are the signs of the coordinates of A and F related?
Answer:
1. A rotate 180° counterclockwise (x,y) --> (-x,-y) or
2. A reflect about the origin (0,0) (x,y) --> (-x,-y)
Step-by-step explanation:
A ( -2 , 4) F (2 , -4)
2 ways:
1. A rotate 180° counterclockwise (x,y) --> (-x,-y) or
2. A reflect about the origin (0,0) (x,y) --> (-x,-y)
Wish this is right...
Answer:
The coordinates of point A are (-2, 4), and the coordinates of point F are (2, -4).The x-coordinates, -2 and 2, are opposites, and the y-coordinates, 4 and -4, are opposites.
Step-by-step explanation:
!!edmentum answer!!
A survey found that 6 out of 8 students own a pet. If there are 320 students in a school, what is a reasonable prediction for the number of students who own a pet?
Answer:
Reasonable prediction = 240 students
Step-by-step explanation:
Given that:
6 out of every 8 students own a pet.
Ratio = 6 : 8
Number of students surveyed = 320
Predicted number of students who own pets = x
Ratio = x : 320
As the relationship is proportional;
6 : 8 :: x : 320
Product of mean = Product of extreme
8x = 320 * 6
8x = 1920
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]
Hence,
Reasonable prediction = 240 students
A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and yellow
paint are needed to make 21 pints of the green paint?
Answer:
[tex]Blue = 12[/tex]
[tex]Yellow = 9[/tex]
Step-by-step explanation:
Given
[tex]Blue : Yellow = 4 : 3[/tex]
Required
Determine the number of pints of each to make 21 of green paints
First, calculate the total ratio.
[tex]Total = 4 + 3[/tex]
[tex]Total = 7[/tex]
The blue and the yellow pint can be represented individually as:
[tex]Blue = \frac{4}{7} * Green[/tex]
[tex]Yellow = \frac{3}{7} * Green[/tex]
Number of blue paint calculated last week is:
[tex]Blue = \frac{4}{7} * 21[/tex]
[tex]Blue = {4} * 3[/tex]
[tex]Blue = 12[/tex]
[tex]Yellow = \frac{3}{7} * Green[/tex]
[tex]Yellow = \frac{3}{7} * 21[/tex]
[tex]Yellow = {3} * 3[/tex]
[tex]Yellow = 9[/tex]
32) Write a compound inequality that represents the given graph:
A. 6≤x 10
D. 6
Answer:
6 < x ≤ 10
Step-by-step explanation:
The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).
That is: x > 6 and x ≤ 10
This can be written as: 6 < x ≤ 10
Re-write the expression
as a product with the
greatest common factor.
(54 +99)
Translate the statement into an algebraic expression. (Use "w" as a variable. Do not use "$" in your answer.
Mike had $184 and he is earning $50 per week.
Answer:
Cost = 184+50w
Step-by-step explanation:
Given statement is "Mike had $184 and he is earning $50 per week".
Here, $184 is fixed and $50 increases per week.
Let w is the variable.
ATQ,
Cost = 184+50w
Hence, the algebraic expression for the given statement is 184+50w.
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
10
8
NOT GRADED.
FIND THE MEASURE OF THE INDICATED ANGLE IN EACH TRIANGLE.
Answer:
The angle in the box is always 50 and that other acute angle is 46
Hope this helps
Step-by-step explanation:
Answer:
m∠B = 44°
Step-by-step explanation:
∑ of all angles in a triangle = 180°.
Note that m∠C = 90° (based on the definition of a right angle).
Note that m∠A = 46° (given).
Set the equation:
Total (180) = 90 + 46 + m∠B
Isolate the term, m∠B. First, simplify. Combine like terms:
180 = (90 + 46) + m∠B
m∠B + (136) = 180
Next, note the equal sign, what you do to one side, you do to the other. Subtract 136 from both sides:
m∠B + 136 (-136) = 180 (-136)
m∠B = 180 - 136
m∠B = 44°
44° is the measurement of the indicated angle B.
~
There are two x intercepts for y = (x + 2)(x - 1)
The first is
and the 2nd is
Answer:
(-2,0) and (1,0)
Hope this helps!
sally collected 15 seashells, but 1/3 were broken. how many shells were broken?
Answer:
5 shells were broken.
Step-by-step explanation:
To find how many shells were broken, we must multiply the amount broken to the total to find the number of shells broken.
1/3 * 15=5
PLEASE HELP ME I WILL GIVE BRAINLIST just with number 6
Answer:
ima say 200 but I'm not 110 percent sure
HHHEEEELLLLLP!!!!!!!!
Compare these rational numbers. Which of the following are true?
The equation y-2/3=-2(x-1/4) is written in point slope form. What is the equation in slope-intercept form ?
Answer:
y = -2x + 7/6
Step-by-step explanation:
y-2/3=-2(x-1/4)
Distribute the -2
y-2/3=-2x+ 2/4
y - 2/3 = -2x + 1/2
Add 2/3 to each side
y - 2/3 + 2/3 = -2x + 1/2 + 2/3
Get a common denominator
y = -2x + 3/6 + 4/6
y = -2x + 7/6
Answer:
y=-2x+7/6
Step-by-step explanation:
The equation for point-slope is y-y1=m(x-x1), where (x1,y1) are one of the points on the line.
y-2/3=-2(x-1/4)
(1/4, 2/3) is the point and the slope is -2
The equation for slope-intercept is y=mx+b, where m is the slope and b is the y-intercept.
y=(-2)x+b **Substitute the slope into m**
(2/3)=-2(1/4)+b **Substitute the points in as x and y**
2/3=-2/4+b
14/12=b **Add 2/4 to both sides**
14/12 is the same as 7/6
7/6 is the y-intercept
y=-2x+7/6
Someone help me quick
Answer: x > - 18
Step-by-step explanation:
Laura took out a loan of $25,000 for a term of 60 months ( 5years) at an interest rate 7.5% use th amortization table provided to complete the statement
Answer:
Laura's monthly payment will be $501, and her total finance charge over the course of the loan will be $5,060.
Step-by-step explanation:
Given that in a 5-year loan with an annual interest of 7.5%, the monthly payments for every $ 1,000 are $ 20.04, taking into account that Laura took a loan of $ 25,000, to determine the monthly payments and the total interest to be paid, they must be made the following calculations:
20.04 x 25 = X
501 = X
Thus, the monthly payments that Laura will have to make will be $ 501.
(501 x 12 x 5) - 25,000 = X
30,060 - 25,000 = X
5,060 = X
In turn, the total finance charge will be $ 5,060.
Find the value of X URGENT!
Answer:
x=13
Step-by-step explanation:
45=3x+6
3x=39
x=13
What is the 20th term of the sequence: -4, -8, -12,
Answer:
-80
Step-by-step explanation:
Trust me
Please help me. I'm only in like 4th grade and I have no idea what to do.
Answer:
it false
Step-by-step explanation:
trust me
Answer:
your answer is True. for a explanation look under this.
Step-by-step explanation:
Hello let's work out this problem together
lets split this in half so 112/8 plus x and 15 + 4x -7
let's start off with part one 112/8 = 14 plus 2 is 16.
now part 2
15 + 4 times 2 -7
15 plus 8 -7
15 plus 1 = 16
I need help with this
Answer:
1/4
Step-by-step explanation:
As 4 units move to the right, 1 unit goes up. Using the formula for slope:
Rise / Run
The gradient of the blue line is 1/4 or 0.25
Using properties of parallelograms, RSTU is a parallelogram that has vertices R (-3,1), S (3,4), and T( 6,2(. What are the coordinates of point U.
Answer:
(0, -1)
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.
Hence for parallelogram RSTU, RS // TU and RU // ST
Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:
Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5
Slope of ST = (2 - 4) /[6 - 3] = -2/3
Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)
Slope of TU = (y - 2) /[x - 6]
Slope of RU = Slope of ST
(y - 1) / (x + 3) = -2/3
3y - 3 = -2x -6
2x + 3y = -6 + 3
2x + 3y = -3 (1)
Slope of RS = Slope of TU
0.5 = (y - 2) /[x - 6]
0.5x - 3 = y - 2
0.5x - y = 1 (2)
Solving 1 and 2 simultaneously gives:
x = 0, y = -1
Therefore the coordinates of U = (0, -1)
x-2y what is the coefficient of x
Answer:
the coefficient of x is an implied 1
any variable that's by itself without a coefficient has an implied 1
Step-by-step explanation:
I hope this helps :)
If two angles are supplementary and one angle is 81°, what does the second angle measure?
Answer:
Step-by-step explanation:[tex]\geq \\ \sqrt{x}[/tex]
I really need help on this if you can show me how you got the answers as well thank you
Answer:
You included the zero from right side of decimal point, which you shouldn't have.
Answer:
You take the percentage times the total of money you have.
Housing is the cost of $465.75 ( 27%x $1725)
Food is the cost of $345 (20%x$1725)
Clothes is the cost of $155.25 (9%x$1725)
Gifts is the cost of $120.75 (7%x$1725)
Transportation is the cost of $224.25 (13%x$1725)
Entertainment is the cost of $86.25 (5%x$1725)
Miscellaneous is the cost of $51.75 (3%x1725)
Insurance is the cost of $86.25 (5%x%1725)
Health is the cost of $51.75 (3%x$1725)
Savings is the cost of $138 (8%x$1725)
Im so so sorry of this is wrong!!
I hope it helps if it is right!!
175 plus what equals 405
Answer:
i hope this answers your question!
Step-by-step explanation:
175+x=405
Step 1: Simplify both sides of the equation.
x+175=405
Step 2: Subtract 175 from both sides.
x+175−175=405−175
x=230
The number that, when added to 175, equals 405 is 230.
To find the number that, when added to 175, equals 405, we can subtract 175 from 405. This will give us the missing number.
405 - 175 = 230
Therefore, 175 plus 230 equals 405.
To explain this process further, we can think of subtraction as the inverse operation of addition. By subtracting the known quantity (175) from the total (405), we are left with the missing quantity (230).
In other words, if we start with 175 and add 230 to it, we will end up with the desired sum of 405. This demonstrates the relationship between addition and subtraction and allows us to determine the missing number needed to reach the target sum.
To learn more about the addition;
brainly.com/question/29464370
#SPJ6
determine the scale factor of the dilation, if OA = 8 and OA' = 32
Answer:
The scale factor is 4
Step-by-step explanation:
32(end product) divided by 8(original) = 4
Answer:
scale factor = 4
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{32}{8}[/tex] = 4
Explain the similarity and differences of standard normal distribution and a normal distribution.
Answer:
Okau
Step-by-step explanation:
Normal distributions can have any mean and any (positive) standard deviation. The standard normal distribution is the one with mean zero and standard deviation one. The standard normal distribution is just a normal distribution scaled/standardized by the z-formula.