Answer:
The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.
Step-by-step explanation:
Test if the mean one-time gift donation is greater than $70:
At the null hypothesis, we test if it is 70 or less, that is:
[tex]H_0: \mu \leq 70[/tex]
At the alternate hypothesis, we test if it is greater than 70, that is:
[tex]H_1: \mu > 70[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
70 is tested at the null hypothesis:
This means that [tex]\mu = 70[/tex]
Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12.
This means that [tex]n = 60, X = 75, s = 12[/tex].
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{75 - 70}{\frac{12}{\sqrt{60}}}[/tex]
[tex]t = 3.23[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 75, which is a right-tailed test with t = 3.23 and 60 - 1 = 59 degrees of freedom.
Using a t-distribution calculator, this p-value is of 0.001.
The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.
Peter and Mary take turns throwing one dart at the dartboard. Peterhits the bulls eye with probabilitypand Mary hits the bullseye with probabilityr.Whoever hits the bullseye first wins. Suppose Peter throws the first dart.(a) What is the probability that Mary wins
Answer:
[tex]P(Mary) = (1 - p) * r[/tex]
Step-by-step explanation:
Given
[tex]p \to[/tex] Peter hits
[tex]r \to[/tex] Mary hits
Required
The probability that Mary wins
From the question, we understand that Peter throws the first.
If Mary is to win, then Peter has to lose his throw
Using the complement rule, the probability that Peter misses is:
[tex]p' = 1 - p[/tex]
So, the probability that Mary wins is:
[tex]P(Mary) = p' * r[/tex]
This gives:
[tex]P(Mary) = (1 - p) * r[/tex]
If P is inversely proportional to Q and if pad when Q = 4. Find the value
of when Q = 3.
A) 7 B) 6 C) 12
Answer:
8
Step-by-step explanation:
If p is inversely proportional to Q and P is 6 when q = 4, then;
p = k/q
6 = k/4
k = 6*4
k = 24
To get P when q = 3
Recall;
p = k/q
p = 24/3
p = 8
Hence the required value of p is 8
Note that the value of initial Q was assumed
What is the quotation -3/8 divided by -1/4
Answer:
3/2
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
-3/8 / -1/4
Negative divided by negative is positive.
To divide by a fraction, change the division to a multiplication and flip the fraction.
-3/8 / -1/4 =
= 3/8 * 4/1
= 12/8
= 3/2
What would be the length of AB I need urgent help?
Answer:
8 units
Step-by-step explanation:
AB = √(4×(4+12))
= √(4×16)
= 2×4
= 8 units
Which step is incorrect? Look at picture
Answer: step 4 is incorrect
Step-by-step explanation:
Answer:
step 4 is incorrect.
there must be;
cos(π/2-x)cos(y)-sin(π/2-x)siny
What is the radius in the eqution below? (x - 5) ^ 2 + (y + 3) ^ 2 = 49
Answer:
7.
Step-by-step explanation:
The equation of a circle is
(x - h)² + (y - k)² = r²
Where
(h, k) is the center and r is the radius, so we only need to work with r.
The expression states that
r² = 49 or the radius squared is equal to 49. So solve for r to find the radius.
r² = 49
Take the square root.
r = 7
The radius of the equation is 7.
Please help!!! Trigonometry is so complicated to me
Answer:
x = 4
Step-by-step explanation:
Given that sin(13x) = cos(9x+2)
Since sintheta = cos(90 - theta)
hence sin (13x) = cos (90 -13x)
Substitute into the original equation
cos (90 -13x) = cos(9x+2)
90-13x = 9x+2
-13x - 9x = 2 - 90
-22x = -88
x = 88/22
x = 4
Hence the value of x is 4
Find the area of the figure
Answer: 60 ft
Separate into 2 rectangles and add their areas together!
Vertical rectangle area: 10 x 3 = 30 ft
Horizontal rectangle area: 10 x 3 = 30 ft
Area of entire thing: 30 + 30 = 60 ft
I NEED HELP WITH THIS !! PLS HELP!!
Answer:
Step-by-step explanation:
2/14 * 1/23 = 1/91
-4 (3+8h) =30 round to nearest hundredth
Answer
-1.31 if its getting rounded to nearest number.
The fraction will be -21/16
Jasmine's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 2
child tickets for a total of $33. The school took in $46 on the second day by selling 1 senior citizen tickets and 3 child tickets What is the
cost of buying 5 senior citizen tickets and 7 child tickets?
Answer:
$126
Step-by-step explanation:
Todd bought 3/8 of a pound of banana chips. He ate 1/9 of what he purchased what fraction of a pound of banana chips did todd eat?
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
He bought 3/8 of a pound and ate 1/9 of it. The equation of this problem would be:
[tex]\frac{3}{8} * \frac{1}{9}[/tex] = amount he ate
Cancel the 3 on the numerator by dividing the denominator by 3.
[tex]\frac{1}{8} * \frac{1}{3}[/tex] = [tex]\frac{1}{24}[/tex]
Thus, he ate [tex]\frac{1}{24}[/tex] pounds of chips
Determine the cubic function that is obtained from the parent function y = x^3
after each sequence of transformations
Vertical stretch by a factor of 3; vertical translation up 4 units; horizontal translation left 2 units
Answer:
The answer here depends on whether you want to do them individually or collectively. If we go individually, then:
The vertical scaling gives us y = 3x³
The vertical translation gives us y = x³ + 4
The horizontal translation gives us y = (x + 2)³
On the other hand, if we want to apply all three at the same time, we get:
starting with a vertical scaling of 3, we get:
start with scaling: y = 3x³
add vertical translation: y = 3x³ + 4
and finally add horizontal translation: y = 3(x + 2)³ + 4
factor b2+18b+80=
......
Answer:
(b+8)(b+10)
Step-by-step explanation:
https://www.mathpapa.com/simplify-calculator/
substract 8 times the sum of a and b from 9y
Answer:
Step-by-step explanation:
according to the question ur equation is
9y-8(a+b)
9y-8a-8b
What is the constant of proportionality for the table below?
х
10
8
4
2
y
25
20
10
5
Ο Α. 5
B. 215
O C. 2.5
O D. 25
Please help! It’s too hard
Answer: for sure c.
Step-by-step explanation: Let me know if im right!
A coach collected data for his runners for 2 weeks. Week 1: Mean = 14.5 miles/ MAD = 1.15 Week 2: Mean = 16 miles/ MAD = 1.5. Which statement correctly compares the variability from Week 1 to Week 2? *
A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage. Is there enough evidence at the 0.05 level to support the manager's claim
Answer:
The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.
Step-by-step explanation:
The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage.
At the null hypothesis, we test if the proportion is of 44%, the stated value. So
[tex]H_0: p = 0.44[/tex]
At the alternate hypothesis, we test if the proportion is below the stated value, that is, it is less than 0.44. So
[tex]H_1: p < 0.44[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.44 is tested at the null hypothesis:
This means that [tex]\mu = 0.44, \sigma = \sqrt{0.44*0.56}[/tex]
A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use.
This means that [tex]n = 1600, X = 0.43[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.43 - 0.44}{\frac{\sqrt{0.44*0.56}}{\sqrt{1600}}}[/tex]
[tex]z = -0.81[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.43, which is the p-value of z = -0.81.
Looking at the z-table, z = -0.81 has a p-value of 0.209.
The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.
what's the answer I have 30 something more questions to go
Answer:
9 cm
Step-by-step explanation:
y = 12 - 3
y = 9
I need the anwer fast pls HELP
The median is the middle number in a sorted, ascending or descending, list of numbers.
0, 0, 1, 1, 1.5, 1.5, 1.5, 1.5, 2, 2, 2, 2, 2.5, 2.5, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4.5,
Therefore, the median would be 2.5 hours.
The figure shows a BD is 90° split by the Line BC the measure of ABC is X degrees in the measure of DBC is 3X +10° what is the value of X
X=20° is your answer
Step-by-step explanation:
X+3x+10°=90°
4x+10°=90°
4x=(90-10)°
X=80/4
X=20°
Answer for brainlest!!!!
Answer:
Step-by-step explanation:
angle 2 and angle 7 are alternate exterior angles.so they are always equal.
angle 2=angle 7
The sum of a number and 4 is equal to -43. Find the number
Answer:
the number is -47..
Step-by-step explanation:
let the number be'x'
x+4= -43x= -43-4x= -47hope it helps.
stay safe healthy and happy.[tex]\huge\bold{Given :}[/tex]
✎ Sum of two numbers = -43
✎ One of the number = 4
[tex]\huge\bold{To\:find :}[/tex]
✿ The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\blue{The \:other \:number \:is\: -47.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
❥ Let the other number be [tex]x[/tex].
❥ As per the question, we have
[tex]sum \: of \: the \: two \: numbers = - 43 \\ ⇢ x + 4 = - 43 \\ ⇢ x = - 43 - 4 \\ ⇢ x = - 47[/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-47.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( - 47) + 4= - 43 \\➪ \: - 47 + 4 = - 43 \\ ➪ \: - 43 = - 43 \\ ➪ \: \: L. H. S. = R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
using pythagoras theorem formula
a^2+b^2=c^2
19^2+52^2=c^2
361+2704=c^2
[tex]\sqrt{3065}[/tex]=c
55.36=c
55=c
A baker used 5 7/10 bags of flour one week. The same baker used 7 3?10 bags the next week. How many more bags of flour did the baker use the second week than the first week?
Answer: 1 6/10
Step-by-step explanation:
Subtract 7 3/10 with 5 7/10 !!!btw subscribe to Aphmua and unspeakable!
a tourist drove his car for the total of 17.5 hours while on a 3-day vacation on the first day he drove 4.5 hours in the second day he drove for 2.5 times as many hours as he drove on the first day how many hours did the tourist drive on the third day of his vacation (HELP PLEASE)
Answer:
1.75 hours
Step-by-step explanation:
Time for day 1 : 4.5 hrs
Time for day 2: (4.5 ×2.5)
Time for day 3: let it be denoted by a variable ,say T.
Total Time= 17.5
(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5
4.5 + (4.5×2.5) + T = 17.5
4.5+11.25+T =17.5
15.75+T=17.5
T=17.5-15.75
T= 1.75
if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A (2, 3 ) → A' (- 2, 3 )
B (4, 5 ) → B' (- 4, 5 )
C (6, 2 ) → C' (- 6, 2 )
Bryan has 86 more rubber bands than Hector. Hector has r rubber bands. Choose the expression that shows how many rubber bands Bryan has.
Answer:
You FAILED to list any choices
Step-by-step explanation:
b = r + 86
Answer: r+86
Step-by-step explanation: You add the number of rubber bands Hector has (r) and 86 to get the amount Bryan has.
f(x)=3√x²-1 and f(x)=2 find x
Answer:
5
Step-by-step explanation:
See the image below:)