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)
3x+2=2x+7 what is x lol why I need 20 characters anyway help
Answer:
5
Step-by-step explanation:
3x-2x=7-2
x=5
A car travels 53.6 miles in an hour.
if the car continues at the same speed for 19 hours, how many miles will it travel?
Answer:
The car would have traveled 1,018.4 miles in 19 hours because you have to multiply 1 by 19 to get to 19 so you would have to do the same to the miles and 53.6 times 19 is 1,018.4 miles.
Step-by-step explanation:
The sum of two consecutive integers is 199. Find the integers
The two consecutive integers will be 99 and 100.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The sum of two consecutive integers is 199.
Let the first number be x and the next consecutive number will be (x + 1). Then the equation will be
x + x + 1 = 199
2x = 199 - 1
2x = 198
x = 198 / 2
x = 99
Then the two consecutive integers will be 99 and 100.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What is the major difference between mutual funds and certificates of deposit? How are mutual funds and certificates of deposit alike? What is the major difference in bonds and treasury notes, and which would you prefer as an investor? How are bonds, treasury notes, mutual funds alike?
Answer:
Mutual funds differ from CDs in a multitude of ways. Mutual funds are diversified portfolios of stocks and bonds managed by a financial advisor or broker. They typically offer substantially higher returns than CDs, and while they are riskier than CDs, they are not considered high risk investments.
According to a report in USA Today, more and more parents are helping their young adult children buy homes. You would like to construct a 90% confidence interval of the proportion of all young adults in Louisville, Kentucky, who received help from their parents in buying a home. How large a sample should you take so that the margin of error is no more than 0.06?
Answer:
The value is [tex]n = 188 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.06[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally will assume that the sample proportion young adults in Louisville, Kentucky, who received help from their parents in buying a home is [tex]\^ p = 0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.645}{0.06 } ]^2 * 0.5 (1 - 0.5 ) [/tex]
=> [tex]n = 188 [/tex]
f(x)=3x2-15. find x if f(x)=-3
Step-by-step explanation:
Given
f(x) = - 3
Now
f(x) = 3x² - 15
-3 = 3x² - 15
3x² = 15 - 3
3x² = 12
x² = 12/ 3
x² = 4
x = + 2
Therefore x = + 2.
help me answer these questions please 15, 19 and 20 please
Answer:
15) K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]
19) P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]
20) Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)
Step-by-step explanation:
We are to find the derivative of the questions pointed out.
15) K(t) = 5(5^(t)) - 2(3^(t))
Using implicit differentiation, we have;
K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]
19) P(w) = 2e^(w) - (2^(w))/5
P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]
20) Q(W) = 3w^(-2) + w^(-2/5) - w^(¼)
Q'(w) = -6w^(-2 - 1) + (-2/5)w^(-2/5 - 1) - ¼w^(¼ - 1)
Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)
Please help me thank you so much I appreciate it
Answer:
right =86
left=94
Step-by-step explanation:
they should add up to 180 so,
6x+52+9x+23 =180
then solve for x
15x+75=180
subtract 75
15x=105
divide by 15
x=7 ,
the left side is
6(7)+52=
42+52=94
the right side
9(7)+23=
63+23=86
(please mark brainliest if correct)
Find the area of this figure 115 ft 2 125 ft 2 60 ft 2 100 ft 2
Answer:
125
Step-by-step explanation:
divide the Figure into 3 parts
1 st = 5 X 10 =50
2nd = 5×10 =50
3rd = 5×5 = 25
total = 50+50 + 25 = 125
A project has the following projected outcomes in dollars: $230, $340, and $590. The probabilities of their outcomes are 25%, 55%, and 20% respectively. What is the expected value of these outcomes? $362.50 $347.50 $407.50 $377.50
Answer:
$362.5
Step-by-step explanation:
Given that :
x : _____ 230 ______340 ______ 590
P(x): ____0.25______0.55 _____ 0.20
To obtain the expected value E(x) of the outcome ; we can use the formula :
E(x) = Σ(x * P(x))
E(x) = (230 * 0.25) + (340 * 0.55) + (590 * 0.20)
E(x) = 57.50 + 187 + 118
E(x) = 362.50
Michelle had 600 fish to feed the dolphins in a zoo. Each dolphins ate the same number of fish. There are 9 dolphins in all. How many fish did Michelle have left?
Answer:
each dolphins eat 600÷9=66.67
can somebody please help me i’ll gift you 40 points
Answer:
B and D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
she got 35 is positive 35
she bought something for 15 and something for 7 is negative 15 and 7
she got 10 is positive 10
+35 + (-15) + (-7) + 10
35-15-7+10
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 15001500 hours and a mean life span of 16,00016,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 18,09918,099 hours.
Answer:
0.0809
Step-by-step explanation:
Given that :
Mean(m) = 16000
Standard deviation (s) = 1500
Probability that the life span of the monitor will be more than 18,099
P(x > 18099)
Using the Zscore formula :
Zscore =(x - m) / s
Zscore = (18099 - 16000) / 1500
Zscore = 2099 / 1500
Zscore = 1.399
P(Z > 1.399)
Using the Z probability calculator :
P(Z > 1.399) = 0.080906
= 0.0809
A number that is multiplied by a variable is called?
Answer:
A number that is multiplied by a variable is called a coefficient.
Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points
Answer:
A) ASA
the third angle is the common one
what is the nth term for
- 2, 7, 22, 43
Answer:
3n^2 - 5
Step-by-step explanation:
With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes.With a significance level of 5 percent, test the claim that a single line causes lower variation among waiting times (shorter waiting times) for customers. Degrees of freedom test statistic pvalue accept or reject
Answer:
We reject H₀ we found that at 5% significance level the single file causes shorther waiting times
Step-by-step explanation:
We will develop a chi-square test since it is a standard deviation test.
Conditions for chi-square test
1.-Population follows a normal distribution
2.-We have a random sample
Therefore
Test Hypothesis
Null hypothesis H₀ σ = 7,2
Alternative hypothesis Hₐ σ < 7,2
So it is a one tailed-test to the left
Sample size n = 25
Then df = 25 - 1 df = 24
Significance level α = 5% α = 0,05
With df = 24 and α = 0,05 we find
Χ₀ = 36,415
Computing X(s)
X(s) = ( n - 1 ) * σ² / (7,2)²
X(s) = 24* (3,5)² / 51,84
X(s) = 294/51,84
X(s) = 5,67
Comparing Χ₀ and Χ(s)
X(s) < Χ₀
So X(s) is in the rejection region and we reject H₀
find the measure of the line segment RQ
===========================================
Work Shown:
RS*QS = (TS)^2
RS*(QR+RS) = (TS)^2
27*(5x-12+27) = (45)^2
27*(5x+15) = 2025
135x+405 = 2025
135x = 2025-405
135x = 1620
x = 1620/135
x = 12
Use this to find the length of QR, which is the same as RQ
QR = 5x-12
QR = 5*12-12
QR = 60-12
QR = 48
9514 1404 393
Answer:
RQ = 48
Step-by-step explanation:
The product of secant segment lengths to the points of intersection with the circle is the same for both secants. The tangent is a degenerate case where the two points of intersection are the same.
ST·ST = SR·SQ
SQ = ST^2/SR = 45^2/27 = 75
RQ = SQ -SR = 75 -27
RQ = 48
Need help with these following questions
Answer:
there are 13 of them brother from another mother
Select the tables that show a proportional relationship between x and y.
Answer:
The table in blue
Step-by-step explanation:
Mario is playing an online puzzle game. He has 50 points and earns 3 points
for each puzzle he solves correctly. He will advance to the intermediate level
if his score is over 80 points.
Answer:
I think there might be more to this question, but the answer I have is
3x + 50 > 80
Step-by-step explanation:
If he has 50 points, needs higher than 80 points to advance to the intermediate level and receives 3 points for every puzzle he solves correctly, he must multiply the 3 by something to add to 50 to get a total amount higher than 80. Thus, 3x + 50 > 80 is the appropriate answer. Have a good day!
Answer:
the answer is 50x + 3 >80
Step-by-step explanation:
The total cost y is proportional to the number of used books x purchased at a constant price of $4. What equation represents this relationship?
Answer:
Y=x+4
If you think about it it's basically a addition problem.
2. Find the area of a quadrant of a circle whose circumference is 22 cm.
Answer:
answer is 38.5 cm². Hope this helps
18
Write an equation in POINT-SLOPE FORM for the line that has a slope of
1
5
and passes through (1,-2).
If the total value of the coins is 30¢, what is the missing coin?
Answer:
$70
Step-by-step explanation:
The Chapin Social Insight Test evaluates how accurately the subject appraises other people socially. In the reference population used to develop the test, scores are approximately normally distributed with mean 25 and standard deviation 5. The range of possible scores is 0 to 41. a) What proportion of subjects in the population will have scores above 31
Answer:
0.11507
Step-by-step explanation:
Given that:
Mean (m) = 25
Standard deviation = 5
Proportion of subject in the population with score above 31
P(x > 31)
Obtain the standardized score of x = 31
Zscore = (x - m) / s
Zscore = (31 - 25) / 5
Zscore = 6 / 5
Zscore = 1.2
Hence, p(Z > 1.2)
Using the Z probability calculator :
p(Z > 1.2) = 0.11507
Permutations and Combinations : wake up cereal comes in 2 types, crispy and crunchy. If a researcher has 10 boxes of each, how many ways can he select three boxes of each for a quality control test?
Answer:
I'm pretty sure theres 11 ways
1. What type of solutions would we get from the quadratic equation
f (x)= 3x2 + 8x + 2?
Answer:
Double root / x = -3
Step-by-step explanation:
Please help me I mark u brainiest like it and rate it five stars please help
Answer:
The 30, goes all the way down, in the empty spot by the 2, put in a 5, then below it a 10
Step-by-step explanation:
Answer:
30/ [5x2]
30/ 10=3
Step-by-step explanation:
A cellular phone company charges $67.95 per month for a service plan that includes 6 GB of data. In addition to the basic monthly rate, the company charges $8.95 for each additional GB of data over 6 GB. A customer on this plan receives a bill for $148.50. How much data did this customer send and receive during the month?
Answer:
The customer send and receive 15 GB of data during the month.
Step-by-step explanation:
Given;
Monthly charge for 6 GB of data = $67.95
Additional charge for each additional GB of data over 6 GB = $8.95
Bill received by the customer = $148.50
Therefore, we have:
Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55
Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB
Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB
Therefore, the customer send and receive 15 GB of data during the month.
