Answer:
A) i) Null hypothesis; p ≤ 0.79
Alternative hypothesis; p > 0.79
ii) test statistic = 2
iii) P-value = 0.02275
B) i) Null hypothesis; p ≤ 0.70
Alternative hypothesis; p > 0.70
ii) test statistic = 2.5
iii) P-value = 0.00621
Step-by-step explanation:
A) We are given;
Population proportion; p = 79% = 0.79
308 of the 370 respondents use social media in their job search. Thus;
Sample proportion; p^ = 308/370 = 0.8324
Let's state the hypotheses;
Null hypothesis; p ≤ 0.79
Alternative hypothesis; p > 0.79
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
z = (0.8324 - 0.79)/√(0.79(1 - 0.79)/370)
z = 0.0424/0.021175
z = 2
From online p-value from z-score calculator attached and using; z = 2; significance value = 0.05; and one tailed distribution, we have;
P-value = 0.02275
B) similar to answer A above, Population proportion; p = 70% = 0.70
But 281 of the 370 respondents use social media in their job search. Thus;
Null hypothesis; p ≤ 0.70
Alternative hypothesis; p > 0.70
Also; Sample proportion; p^ = 281/370 = 0.7595
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
z = (0.7595 - 0.70)/√(0.70(1 - 0.70)/370)
z = 0.0595/0.023824
z = 2.5
From online p-value from z-score calculator attached and using; z = 2.5; significance value = 0.05; and one tailed distribution, we have;
P-value = 0.00621
NEED HELP ASAP!!!Of all the students who tried out for volleyball, 83% made the team what fraction of the students who tried out did NOT make the team?
Answers
4/5
1/5
3/4
1/3
Answer:I think it’s 1/5 but if u have another attemp and it’s wrong somehow do 1/3
Step-by-step explanation:
Answer:
3/4 or 1/3
Step-by-step explanation:
Solve step by step:
n + 8 = -10
Answer:
n=-18
Step-by-step explanation:
subtract 8 from both sides.
then you do -10 subtracted by 8 and thats -18.
HELP PLS 30 PTS !!!!!!!!!!!!
Answer:
its the second one bc if u multiply 8.34 times 5305 it equals to 44243.7 the diameter of the pool was jus to throw u off it was unneeded information.
Step-by-step explanation:
PLZ HURRY IT'S URGENT!!!
What are the roots of the quadratic graphed?
-4 and 3
-3 and 4
0 and -6
0 and 6
the answer is -4 and 3
hope that helped
Giving brainliest for the right answer so pls help me!
Answer:
Radius: 3.5
Diameter: 7
i might be wrong tho im sorry !!
The answer:
Radius = 3.5cm
Diameter = 7cm
I hope I've helped <3What is 5 x 5 is it 25 or 35
Answer:
25 7 x 5 is 35
Step-by-step explanation:
hope this helps have a good rest of your afternoon :) ❤
Answer:
5 times 5 is 25.
Step-by-step explanation:
Hope this helps you dude
s h r e k (in a maid outfit)
Press F9 on your keyboard five more times and see how long Carol lives in each of her alternate lives. Remember that she will always live to be at
least 44 years old, since she is already 44 years old. How long did Carol live each time?
Answer:
59 or infant
Step-by-step explanation:
she will either live to be 59 each time or she will live to be a undying God like being
(10p) An actuary has discovered that policyholders are three times as likely to le two claims as to le four claims. The number of claims led has a Poisson distribution. Compute the variance of the number of claims led. You can use, without a proof, that the variance of a Poisson distribution is equal to its mean.
Answer:
Hello your question is poorly written below is the complete question
An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If The number of claims filed has a Poisson distribution. Compute the variance of the number of claims filed. You can use, without a proof, what is the variance of a Poisson distribution is equal to its mean
answer : variance = 2
Step-by-step explanation:
compute the variance of the number of claims filed
x = number of claim filed
For Poisson distribution
mean = variance = Л
∴ Variance = 2
Which pair isn’t congruent help me out ✏️
Suppose that a loan of $8000 is given at an interest rate of 13% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
si
(b) Find the amount owed at the end of 2 years.
Answer:
9040
10215.20
Step-by-step explanation:
compound interest that compounds yearly works as follows
PV(1+i)^n
just plug in the numbers
8000(1.13)^1= 9040
8000(1.13)^2=10215.20
4. The__________ is the original figure.
A. image
B. per-image
C. enlargement
D. reduction
Answer:
he is the answer
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Factor as the product of two binomials.
x^2 - 3x +2=
Answer:
(x−1)(x−2)
Step-by-step explanation:
this is kirtys recipe for breakfast cereal 50 grams of oats 30 grams of raisins 40 grams of nuts if she uses 125 grams of oats, how many grams of
raisins does she need
Please help me solve |3b+9| -16 = -52
Answer:
b= -15
Step-by-step explanation:
First combine like terms 9-16= -7
Left 3b-7= -52
Next add 7 to both sides
Left 3b= -45
Finally divide
So b= -15
30 + 18 = 6(5 + ___)
Answer:
3
Step-by-step explanation:
30 + 18 = 48
5 + 3 = 8, 6 x 8 = 48
If this was helpful vote brainliest :)
Which line is parallel to the graph of the line y=-2/3x-5?
y=-3/2x-1
y=-2/3x-7
y=2/3x+2
y=3/2x+6
A phone company has two long distance calling plans. The first plan is $25 per month plus $0.01 per minute of long distance calling after the first 100 minutes. The second plan is $10 per month plus $0.05 per minute of long distance calling.
How many minute of long distance calls will it take for the plans to cost the same amount?
Answer:
286 minutes
Step-by-step explanation:
can you give brainlest or good review
Answer:
Hello!
Let's call X to the number of minutes of long-distance calls you plan to make.
The cost of plan A is given by 25%2B0.05X
The cost of plan B is given by 5%2B0.12X
Plan B is advantageous when its cost is lower than plan A's. Therefore, we set the inequality
5%2B0.12X+%3C+25%2B0.05X
And then solve for X. This will give us the range of minutes for which B is more convenient.
Subtract 5 from both sides of the inequality to get:
0.12X+%3C+20%2B0.05X
Now subtract 0.05X:
0.12X+-+0.05X+%3C+20
0.07X%3C20
Finally, divide by 0.07 to get:
X+%3C+20%2F0.07
X++%3C+285.71
So plan B is advantageous if you plan to use less than 286 minutes of long distance calls.
I hope this helps!
Step-by-step explanation:
Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 (a) Find the percentile of 37. th percentile
Answer:
34.5
Step-by-step explanation:
Given the data:
X : 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77.
The 37th Percentile :
37/100(n + 1)th term
n = sample size = 32
Therefore,
0.37(32 + 1)th term
0.37(33)th term = 12.21 th term
(12th + 13th) term ÷ 2
(33 + 36) / 2
69 / 2
34.5
The 37th percentile is 34.5
Ana, Profesora de Psicología de una escuela, planeo realizar un estudio sobre las
respuestas de los espectadores a ciertos aspectos de las peliculas A By Después
de encuestar su clase de 55 estudiantes, determinó la siguiente información: 17
han visto A. 17 han visto B. 23 han visto c. 6 han visto A y B. & han visto A y C 10
han visto By C 2 han visto las tres peliculas.
a. ¿Quántos estudiantes han visto exactamente dos de estas peliculas?
b. ¿Cuántos estudiantes han visto exactamente una de estas peliculas?
C. ¿Cuántos estudiantes no han visto estas películas?
d. ¿Cuántos estudiantes han visto A. pero ninguna de las otras?
Answer:
The answer is below
Step-by-step explanation:
El número de personas que vieron solo A = n (A) = 17
El número de personas que vieron solo B = n (B) = 17
El número de personas que vieron solo C = n (C) = 23
El número de personas que vieron A y B = n (A ∩ B) = 6
El número de personas que vieron A y C = n (A ∩ C) = 8
El número de personas que vieron B y C = n (B ∩ C) = 10
El número de personas que vieron las tres películas = n (A ∩ B ∩ C) = 2
1) Número de estudiantes que han visto dos películas = n (A ∩ B) + n (A ∩ C) + n (B ∩ C) = 6 + 8 + 10 = 24
2)
n (A∩ B '∩ C') = n (A) -n (A ∩ B) -n (A ∩ C) -n (A ∩ B ∩ C) = 17-8-6-2 = 1
n (A'∩ B ∩ C ') = n (B) -n (A ∩ B) -n (B ∩ C) -n (A ∩ B ∩ C) = 17-6-10-2 = 1
n (A'∩ B '∩ C) = norte (C) -n (UNA ∩ C) -n (B ∩ C) -n (UNA ∩ B ∩ C) = 23-8-10-2 = 3
estudiantes que no han visto = 55 - n (A∩ B '∩ C') -n (A'∩ B ∩ C ') - n (A'∩ B ∩ C') - n (A ∩ B) -n ( B ∩ C) -n (UNA ∩ C) -n (A∩ B ∩ C) = 55-1-1-3-6-8-10-2 = 24
3)
número de alumnos que no han visto =
4)
número de estudiantes que vieron solo A = n (A∩ B '∩ C') = 1
Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)
Suppose that f(x) = 3 (8x - x^2)/256 for 0 < x < 8
Determine the following probabilities. Round all of your answers to 3 decimal places (e.g. 98.765).
a. P(X < 5)
b. P(X< 9)
c. P(5 < X < 7)
d. P(X > 3)
e. Determine x such that P(X < x) = 0.95
Answer and Step-by-step explanation: This function is a probability density function of a random variable X:
[tex]f(x)=\frac{3(8x-x^{2})}{256}[/tex]
and to calculate probabilities, we will have to integrate it:
[tex]P(X<x)=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
Solving:
[tex]P(X<x)=\frac{3}{256}(4x^{2}-\frac{x^{3}}{3} )[/tex]
Then:
a. P(X < 5)
[tex]P(X<5)=\int\limits^5_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(X<5)=\frac{3}{256}(100-\frac{125}{3} )[/tex]
[tex]P(X<5)=\frac{3}{256}(\frac{300-125}{3} )[/tex]
[tex]P(X<5)=\frac{175}{256}[/tex]
P(X < 5) = 0.683
b. P(X < 9)
Since density function's upper limit is 8, probability of x < 9 is 100% or 1.
So, P(X < 9) = 1
c. P(5 < X < 7)
[tex]P(5<X<7)=\int\limits^7_5 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(5<X<7)=\frac{3}{256}[4(7)^{2}-\frac{7^{3}}{3}-4(5)^{2}+\frac{5^{3}}{3}][/tex]
[tex]P(5<X<7)=\frac{3}{256}[96-\frac{218}{3} ][/tex]
[tex]P(5<X<7)=\frac{70}{256}[/tex]
P(5 < X < 7) = 0.273
d. P(X > 3)
[tex]P(X>3)=\int\limits^8_3 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(X>3)=\frac{3}{256}[256-\frac{512}{3}-36+9 ][/tex]
[tex]P(X>3)=\frac{3}{256}(229-\frac{512}{3} )[/tex]
[tex]P(X>3)=\frac{175}{256}[/tex]
P (X > 3) = 0.683
e. P(X < x) = 0.95
[tex]0.95=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]\frac{3}{256}[\frac{12x^{2}-x^{3}}{3} ] =0.95[/tex]
[tex]\frac{12x^{2}-x^{3}}{256}=0.95[/tex]
[tex]12x^{2}-x^{3}=243.2[/tex]
[tex]-x^{3}+12x^{2}-243.2=0[/tex]
Solving this cubic equation, we have three values for x:
x₁ = -3.909
x₂ = 8.992
x₃ = 6.917
The value of x will the one between 0 and 8, which are the limits of the function. So, value of x which gives a probability of 0.95 is x = 6.917.
a Basketball ticket costs $45 but they are having a promotional game night and all tickets are 25% off what is the new price of the ticket
Answer:
Should be $11.25
Step-by-step explanation:
Since 25% is 1/4 you can just divide 45 by 4.
45/4 = 11.25
Answer: 33.75. 25% of 45 is 11.25. So 45-11.25=33.75
Step-by-step explanation:
Which fraction rounds to 5?
Answer:
5/1
Step-by-step explanation:
Answer:
5/1
Step-by-step explanation:
On an island, the deer population has been decreasing by 4% per year (). The current population is 792 deer.
Assume that the deer population continues to decrease by 4% per year. Which of the following logarithmic equations best models the number of years it will take for the deer population to decrease from 792 deer to 674 deer?
Answer:
X = log(0.96)(0.85)
Step-by-step explanation:
Given that on an island, the deer population has been decreasing by 4% per year and the current population is 792 deer, assuming that the deer population continues to decrease by 4% per year, to determine the number of years it will take for the deer population to decrease from 792 deer to 674 deer the following calculation must be performed:
792 x 0.96 ^ X = 674
X = 3.95
So, rounded to whole numbers, it will take 4 years for the deer population to drop to 674.
How do i write the quotient as a mixed number?
Answer:
divide the numerator by the denomantor
Step-by-step explanation:
A fraction in which the numerator is smaller than the denominator, like 1/3 or 2/5 is called a proper fraction. A fraction in which the numerator is larger than or equal to the denominator, like 5/2, 17/3, or 6/6 is called an improper fraction. (To put it another way, a fraction with a value less than 1 is a proper fraction. A fraction with a value greater than or equal to 1 is an improper fraction.)
As we have shown above, mixed numbers can be written as improper fractions. Similarly, improper fractions can be written as mixed numbers.
Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heart Rates in Beats per Minute Class Frequency 51 - 58 6 59 - 66 3 67 - 74 11 75 - 82 13 83 - 90 4
Answer:
[tex]Mean = 68.9[/tex]
[tex]s^2 =18.1[/tex] --- Variance
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]
Solving (a): Calculate the mean.
The given data is a grouped data. So, first we calculate the class midpoint (x)
For 51 - 58.
[tex]x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5[/tex]
For 59 - 66
[tex]x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5[/tex]
For 67 - 74
[tex]x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5[/tex]
For 75 - 82
[tex]x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5[/tex]
For 83 - 90
[tex]x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5[/tex]
So, the table becomes:
[tex]\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]
The mean is then calculated as:
[tex]Mean = \frac{\sum fx}{\sum f}[/tex]
[tex]Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}[/tex]
[tex]Mean = \frac{2547.5}{37}[/tex]
[tex]Mean = 68.9[/tex] -- approximated
Solving (b): The sample variance:
This is calculated as:
[tex]s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}[/tex]
So, we have:
[tex]s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}[/tex]
[tex]s^2 =\frac{652.8}{36}[/tex]
[tex]s^2 =18.1[/tex] -- approximated
I WILL GIVE BRAINLIEST PLS HELP!!!!
The hypotenuse of ANY right triangle is [tex]\sqrt{2}[/tex] times the leg.
TRUE OR FALSE AND ALSO EXPLAIN
I will give brainliest to whoever answers RIGHT.
Answer:
it's 3.4
Step-by-step explanation:
hope this helps have a nice day
36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13
What is the length of the line segment below?
(107)
(3.1