Answer:
Kindly check explanation
0.57691
0.4719
Step-by-step explanation
A.) The distribution of sample means must follow a normal distribution ;
Mean = 64 ; Standard deviation = 17 ;
Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155
N(64 ~ 17)
Given that:
mean (m) = 64
Sample size (n) = 20
Standard deviation (s) = 17
Find
P(x < 67.3)
Z = (x - m) / s
Zscore = (67.3 - 64) / 17
Zscore = 0.1941176
P(Z < 0.194) = 0.57691 (Z probability calculator)
(c) Find P(x > 65.2).
Zscore = (65.2 - 64) / 17
Zscore = 0.0705882
P(Z > 0.0705) = 0.4719 (Z probability calculator)
can someone help me plss! it would mean a lot! happy holidays too!
Answer:
69 feet
Step-by-step explanation:
Now go ace that test!
Answer: 69
Step-by-step explanation:
Suppose Carson worked as a babysitter for85 hours one week. What is the minimum number of full hours he would need to work at his fathers business to earn at least $96 that week?
Answer:
Answer: The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes. Happy to help!
Step-by-step explanation:
An automobile assembly line operation has a scheduled mean completion time, , of minutes. The standard deviation of completion times is minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of completion times under new management was taken. The sample had a mean of minutes. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the mean completion time has decreased under new management
Answer:
Step-by-step explanation:
Here are the missing values;
Mean μ = 15.5 minutes
Standard deviation = 1.7 minutes
A Random sample of 90 completion
The sample mean = 15.4 minutes
Level of significance = 0.1
Then the following analysis can be made on the above study.
Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]
the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]
Since, the value is less than, then this is a one-tailed test.
The Z test statistics can be computed as:
[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]
[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]
[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]
Z = −0.560
The critical value of Z at 0.1 level of significance is:
[tex]Z_{0.1} = -1.28[/tex]
Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28
Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.
Suppose that Bob can decide to go to work by one of the three modes of transportation; car, bus, or train. Because of high traffic, if he decides to go by car, there is a 50% chance he will be late. If he goes by bus there is a 20% chance he will be late. If he goes by train there is only 1% chance that he will be late. Suppose he takes the car 10% of the time, the bus 1% of the time, and the train 89% of the time, What is the probability that Bob will be late getting to work?
The probability is (0.10 * 0.50 + 0.01 * 0.20 + 0.89 * 0.01) * 100% = 6.09%.
How to solve it&&&&&&&&&&&
Answer:
y = 4 and x = 12
Step-by-step explanation:
Step by step explanation in the pic. Atleast the way I did it.
What is the GCF (greatest common factor of 8x and 8?
Answer:
8 :)
Step-by-step explanation:
(1 + 9.8k)(2.8) simplified
Answer:
2.8 + 27.44k
Step-by-step explanation:
Algebraic Simplification
The rules of algebra can be applied in some situations to make expressions simplified or expanded, according to the specific needs of each problem.
We are given the expression:
(1 + 9.8k)(2.8)
It's a sum and a product. We cannot add the independent term with the variable term, so we can only multiply the factor and the contents of the parentheses as follows:
(2.8)1 + (2.8)9.8k
Operating:
2.8 + 27.44k
Alina and Asim share 210 dollars In the ratio 2:5 how much money did each of them get ?
Answer:
Let Alina share be 2x and asking share be 5x
then, 2x+5x =210 dollars
7x =210 dollars
x=30 dollars
then share of Alina = 2x = 2 * 30 = 60 dollars
and share of asim= 5x = 5 * 30 = 150 dollars
Answer:
I hope the above pic will help you I have done it in word
I will always help you understanding your assingments
have a great day
#Captainpower:)
the height of an object after t seconds is given by f(t)=-5t^2+20t (a) find the height of the object after 2 seconds, and include the correct units with your answer. (b) find the average (vertical) velocity of the object on the time interval [0,2]. show your work, include the correct units, and. circle your final answer. (c) find the instantaneous velocity at t=2
Answer:
t=20 4=5 =6 =8 =9 10
Step-by-step explanation:
And that is iy
PLEASE HELP URGENT WILL GIVE BRAINLIEST
Answer:
Please check the explanation.
Step-by-step explanation:
We know that
An expression can not be a polynomial if any term has a negative exponentAn expression can not be a polynomial if any term has a fraction exponentAn expression can not be a polynomial if any term contains division by a variable.2)
Given the expression
f(x) = 3x + 4/3 x³ - 7
The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms
3)
Given the expression
g(x) =- 5x³ + x - 3/x
The given expression is NOT a polynomial as any term of a polynomial can not have exponent as -1.
For example, the term 3/x or 3x⁻¹ has negative exponent -1.
Thus, g(x) =- 5x³ + x - 3/x
4)
Given the expression
h(x) =x³√5 + x - 3
The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms
5)
Given the expression
k(x)=25x²-x³+x⁵
The given expression is a polynomial with a degree of 5 (highest power of any variable) and having 3 terms.
skateboard is priced for $38. They are having a sale for 20% off. how much is the discount and what is the selling price
Answer:
18$
Step-by-step explanation:
3
1
The temperature fell from 0°F to 6 3/5 F below 0f in 2 1/5 hours. What was the temperature change per hour?
Answer:
The rate is -3°F per hour.
Step-by-step explanation:
The rate of change of the temperature per hour, will be equal to the quotient between the total change in temperature and the time it took for the change.
We know that the initial temperature is 0°F
The final temperature is -(6 + 3/5)°F
Then the change in the temperature will be:
Final temperature - initial temperature = -(6 + 3/5)°F - 0°F = -(6 + 3/5)°F
We know that this change took a total of (2 + 1/5) hours, then we can conclude that the rate will be:
Rate = -(6 + 3/5)°F/(2 + 1/5) hs = -(30/5 + 3/5)°F/(10/5 + 1/5) hs
= -(33/5)°F/(11/5)hs = -(33/11) °F/hs = -3 °F/hs
This means that the rate of change is -3°F per hour, so the temperature decreases 3 °F for each hour that passes.
Pleaseeee help me I need help reallly bad
The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 16 mph and the Mystic travels at 20 mph. How far apart will they be in 2 hours? A. 52 miles B. 56 miles C. 40 miles D. 72 miles
Answer:
te puedo responder pero debes hacer primero tu tarea
Step-by-step explanation:
A medication contains 5 milligrams/milliliter, and a patient is taking 1 teaspoon of it 3 times daily. How many milligrams of medication is the patient receiving per day?
options:
5 milligrams
7.5 milligrams
75 milligrams
100 milligrams
Answer:
Answer: 75 milligrams
Step-by-step explanation:
The medication contains 5 milligrams/milliliter.
The patient is given 1 teaspoon of the medication 3 times a day. Since 1 teaspoon is approximately equal to 5 milliliters, then the patient takes 3*5 = 15 milliliters of the medication per day.
Each milliliter contains 5 milligrams, thus the patient receives 15*5 = 75 milligrams of medication per day.
Answer: 75 milligrams
The length of a rectangle is (x+3)cm. If the width of the rectangle is two thirds its length and the perimeter is 27cm,find its area
Answer:
[tex]A = 43.74[/tex]
Step-by-step explanation:
Represent Length with L, Width with W and Perimeter with P
[tex]P = 27[/tex]
[tex]L=x+3[/tex]
[tex]W = \frac{2}{3}(x + 3)[/tex]
Required
Determine the Area
From the perimeter, we need to solve for x;
[tex]P = 2(L + W)[/tex]
Substitute values for P, L and W
[tex]27 = 2(x + 3 + \frac{2}{3}(x+3))[/tex]
[tex]27 = 2(x + 3 + \frac{2}{3}x+2)[/tex]
Collect Like Terms
[tex]27 = 2(3 + 2 + x + \frac{2}{3}x)[/tex]
[tex]27 = 2(5 + \frac{3x + 2x}{3})[/tex]
[tex]27 = 2(5 + \frac{5x}{3})[/tex]
Open bracket
[tex]27 = 10 + \frac{10x}{3}[/tex]
Collect Like Terms
[tex]27 - 10 = \frac{10x}{3}[/tex]
[tex]17= \frac{10x}{3}[/tex]
Solve for x
[tex]x = \frac{3*17}{10}[/tex]
[tex]x = \frac{51}{10}[/tex]
[tex]x = 5.1[/tex]
The Area is then calculated using:
[tex]A = L * W[/tex]
[tex]A = (x + 3)*\frac{2}{3}(x+3)[/tex]
[tex]A = \frac{2}{3}(x+3)^2[/tex]
Substitute 5.1 for x
[tex]A = \frac{2}{3}(5.1+3)^2[/tex]
[tex]A = \frac{2}{3}(8.1)^2[/tex]
[tex]A = \frac{2}{3}*65.61[/tex]
[tex]A = \frac{2*65.61}{3}[/tex]
[tex]A = \frac{131.22}{3}[/tex]
[tex]A = 43.74[/tex]
Hence, the area is [tex]43.71cm^2[/tex]
Please help me thank you I appreciate
Answer:
90-34=56° .....................
The number
5/7
can be best described as a(n)
mixed number
improper fraction
O proper fraction
Not troll! Please help, will give brainliest! Explain your answer and how you got it.
Evaluate the expression 34 + 4/9w and w = - 1/2
Answer:
33 7/9 or 304/9
Step-by-step
Answer:
The person above is right give them brainliest please!
Step-by-step explanation:
a. A bicycle shop marks down each bicycle's selling price b by 22% for a holiday sale.
b. What is a single term expression for the sale price?
The expression for the sale price is ____?
9514 1404 393
Answer:
0.78b
Step-by-step explanation:
The sale price will be ...
b - 22% × b = b(1 -22%) = b(1 -0.22)
= 0.78b . . . . single-term expression for sale price
You only have 30 hours of vacation time left I always work 8 hours per day so that mean that I can take how many days off
Answer:
2
Step-by-step explanation:
Please help me and show work
Answer:
2/5
Step-by-step explanation:
If we convert 1/2 to tenths we get 5/10. We can subtract that from 9/10 to find out what q equals which will give us 4/10 which is also equal to 2/5
(sorry i'm really bad at explaining but I hope this helps)
Help me please i have be very grateful
Answer:
8,20,24
Step-by-step explanation:
these numbers they make 52
Given the line below, state the slope of the PARALLEL line. y=-8x + 10 what is the answer need help
Step-by-step explanation:
the slope if the equation will be -8
Angie divides the polynomial function f (x)+x3+3x2-7x-21 by (x+3) what can she conclude from the fact that the remainder is equal to 0
Answer:
Yes, and if you divide x^3+3x^2-7x-21 with x+3 you will result in x^2-7
Step-by-step explanation:
Hope this helps
And I like your profile pic
The given polynomial is divisible by x+3 because f(-3)=0
So , the remainder is equal to 0
Her conclusion is correct.
Given :
Angie divides the polynomial function
[tex]f (x)=x^3+3x^2-7x-21[/tex] by (x+3)
Apply remainder theorem to check whether the remainder is equal to 0
If a polynomial p(x) is divisible by (x-a), the remainder obtained is P(a)
x+3 is the divisor
Lets set the divisor =0 and solve for x
[tex]x+3=0\\x=-3[/tex]
Now we plug in -3 for x in given f(x) and see whether f(-3) =0
[tex]f (x)=x^3+3x^2-7x-21\\f (-3)=(-3)^3+3(-3)^2-7(-3)-21\\f(-3)=-27+27+21-21\\f(-3)=0[/tex]
So, f(-3)=0 and hence the remainder is 0
Her conclusion is correct
Learn more : brainly.com/question/19908280
Describe the transformation of ƒ(x) = ex which is given by g(x) = −e2x + 6.
A)
g(x) is reflected across the y-axis and translated 6 units to the right compared to ƒ(x).
B)
g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).
C)
g(x) is reflected across the y-axis and translated 6 units to the left compared to ƒ(x).
D)
g(x) is reflected across the x-axis and translated 6 units down compared to ƒ(x).
Answer:
g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).
Step-by-step explanation:
Answer:
Step-by-step explanation:
g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).
WILL MARK BRAINLIEST
Answer:
48 in²
Step-by-step explanation:
if it's a right triangle you can multiply your sides like uts a rectangle and then divide it by 2. look at the triangle like its half a rectangle
For the statement below, write the claim as a mathematical statement. Use proportions to state the null and alternative hypotheses, and identify which represents the claim. According to a recent survey, 73% of college students did not use student loans to pay for college. Let p be the proportion of college students who did not use student loans to pay for college. What is the claim as a mathematical statement? Determine the null and alternative hypothesis. Identify whether the null or alternative hypotheses is the claim.
Answer:
Null Hypothesis : P = 0.73
Alternative Hypothesis : P≠ 0.73
Step-by-step explanation:
Explanation:-
According to a recent survey, 73% of college students did not use student loans to pay for college
Let p be the proportion of college students who did not use student loans to pay for college
Population proportion P = 73% or 0.73
Null Hypothesis : P = 0.73
Alternative Hypothesis : P≠ 0.73
Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies,
how many cookies does he bake?
A. 60 cookies
B. 90 cookies
C. 360 cookies
D. 3,600 cookies
Answer:
360 cookies
Step-by-step explanation:
60 times 6= 360
LOOK AT PICTURE, THEN ANWSER QUESTION, WHOEVER IS CORRECT I WILL MARK BRAINIEST:)
Answer:
c is the correct answer