Answer:
[tex]\%Guitar = 33 \%[/tex]
Step-by-step explanation:
Given
The two-way table
Required
Percentage of men and women whose favorite is Guitar
From the table, we have:
[tex]Total = 200[/tex]
Those who prefer Guitar
[tex]Men=29[/tex]
[tex]Women = 37[/tex]
So:
[tex]Guitar = 29 +37 = 66[/tex]
So, the percentage of men and women is:
[tex]\%Guitar = \frac{Guitar}{Total} * 100\%[/tex]
[tex]\%Guitar = \frac{66}{200} * 100\%[/tex]
[tex]\%Guitar = \frac{6600}{200} \%[/tex]
[tex]\%Guitar = 33 \%[/tex]
Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
17,225 16,953 15,309 15,297 14,437 14,835
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results
Answer:
H0 : μ = 18000
H1 : μ < 18000 - - - > Claim
Test value = - 3.578
Critical value = ±2.58
There is significant evidence to accept the claim that mean debt at graduation is less than $18000
Step-by-step explanation:
H0 : μ = 18000
H1 : μ < 18000
From the data:
Sample size, n = 30
Sample mean, x = 16298.37
The test statistic :
(16298.37 - 18000) ÷ (2605/sqrt(30))
−1701.63 / 475.60575
= - 3.578
The critical value :
Using the standard normal table;
Critical value at α = 0.01
Critical value = ±2.58
Decison region :
|test statistic | > |Critical value | ; reject H0
|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000
Kind of easy giving alot points to anyone who knows
Answer:
5 hours
Step-by-step explanation:
Joe drove 80 kilometers per hour for 4 hours. How far did he go?
Step-by-step explanation:
velocity = distance/time taken
distance=velocity ×time taken
distance=80×4
distance=320kilometers
I don’t know if the answer is 60 or 180 please help
Answer:
b = 120
Step-by-step explanation:
a & b are vertical angles and vertical angles are congruent, thus, a and b are congruent.
=> a = b, a = 120
=> b = 120
Solve for x.
a. x + 4 1/4 = 5 1/5
b. x - 1 1/2 = 3/4
Step-by-step explanation:
done.................
The graph shows the relationship between the number of gallons of water and time. Let g represent gallons of water and t represent time.
Answer:
There's no graph in your question!
cellus
Solve for 43.
43 = ?
43 44=90°
Enter
Answer:
[tex] \displaystyle \angle3 = {90}^{ \circ} [/tex]
Step-by-step explanation:
we are given two angles
we are want to figure out the missing angle
remember,
Straight line theorem
so we acquire
[tex] \displaystyle \angle3 + \angle4 = {180}^{ \circ} [/tex]
substitute the value of the given angle:
[tex] \displaystyle \angle3 + {90}^{ \circ} = {180}^{ \circ} [/tex]
cancel 90° from both sides:
[tex] \displaystyle \angle3 = {90}^{ \circ} [/tex]
hence, the measure of the missing angle is 90°
Answer:
Solution given:
<4=90°
<3+<4=180°[sum of pair of line is supplementary]
<3=180°-90°
<3=90°is a required answer.
An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method
9514 1404 393
Answer:
$1.74
Step-by-step explanation:
The ratio of the increase to this year's wage is ...
12%/112% = x/$16.24
Multiplying by $16.24, we have ...
x = $16.24(12/112) = $1.74
The dollar amount of the wage increase is $1.74.
There is a bin of markers.
For every 2 red markers, there are
5 purple markers. Use the table to
represent the ratio of purple
markers to red markers.
Someone please help me!!
For the given equation, what is the step to clear the fractions and what is the result?
O Multiply both sides by 6 to get 4y - 1 = 21.
O Multiply both sides by 18 to get 12y - 3 = 7.
O Multiply both sides by 6 to get 2y - 1 = 7.
Multiply both sides by 12 to get 2y - 1 = 7
Answer:
The first choice
Step-by-step explanation:
Multiplyil by 6 to get 4y - 1 =21
Select the correct answer from each drop-down menu
geometry is so hard someone please help thank you ;)
Which of these inequalities has no solutions?
Answer:
b. √x<-14
Step-by-step explanation:
square roots are never negative
Tony's 1st two jumps were 11 2/3ft and 11 1/2ft. His total distance was 44ft. How many feet was his final jump?
Answer: 20.83
Step-by-step explanation: 44 - 11 2/3 - 11 1/2 = 20.83
Too Easy.
1) Which choice best represents the height of a box of cereal? A. 30 millimeters B. 30 centimeters C. 30 kilometers D. 30 meters
Answer:
30 centimeters
SHEEEEEEEEEEEEEEEEEEEESH
Need help pls. 100 points
arcAE = 126°
Step-by-step explanation:
Note that arcAD is a diameter therefore arcAD = 180°. And arcAD = arcAE + arcED
Also note that the inscribed angleEAD intercepts the arcED and according to the inscribed angle theorem,
angleEAD = (1/2)arcED
or
arcED = 2×angleEAD = 2×(27°) = 54°
This means that the arcAE is
arcAE = arcAD - arcED
= 180° - 54°
= 126°
[tex]\\ \sf\longmapsto arc \overset{\sim}{ED}=2(<A)=2(27)=54°[/tex]
Now
[tex]\\ \sf\longmapsto arc\overset{\sim}{AE}+arc\overset{\sim}{ED}=180[/tex]
[tex]\\ \sf\longmapsto arcc\overset{\sim}{AE}=180-54=126°[/tex]
Simplify the following expression.
(4x + 1)(x - 4)
A.
4x2 - 15x - 5
B.
4x2 + 15x - 4
C.
4x2 - 15x - 4
D.
4x2 - 17x - 4
Answer:
[tex](4x + 1)(x - 4) = 4x( x - 4) + 1(x-4)[/tex]
[tex]=4x^2 -16x +x -4\\=4x^2 -15x -4[/tex]
option C
Write the function for the graph.
(1,12)
(0,3)
O A. f(x) = 3•(12)^x
O B. f(x) = 4•(3)^x
O C. f(x) = 3•(4)^x
D. f(x) = 4•(12)^x
Answer:
[tex]f(x) =3 * (4)^x[/tex]
Step-by-step explanation:
Given
[tex](x_1, y_1) = (1,12)[/tex]
[tex](x_2, y_2) = (0,3)[/tex]
Required
The function of the graph (exponential function)
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
For [tex](x_1, y_1) = (1,12)[/tex], we have:
[tex]12 = a * b^1[/tex]
[tex]12 = a * b[/tex]
[tex]12 = a b[/tex]
For [tex](x_2, y_2) = (0,3)[/tex]
[tex]3 = a * b^0[/tex]
[tex]3 = a * 1[/tex]
[tex]3 = a[/tex]
[tex]a = 3[/tex]
Substitute: [tex]a = 3[/tex] in [tex]12 = a b[/tex]
[tex]12 = 3 * b[/tex]
Divide both sides by 3
[tex]4 = b[/tex]
[tex]b =4[/tex]
So, we have:
[tex]f(x) = ab^x[/tex]
[tex]f(x) =3 * (4)^x[/tex]
If a soil sample test gives a positive result, it is ___% likely that the soil sample contains organic matter.
Answer:
91.72% likely that the soil sample contains organic matter.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have that:
Of 700 samples that contain organic matter, 665 give a positive result and 700 - 665 = 35 give a negative result.
Of 300 samples that do not contain organic matter, 300 - 240 = 60 give a positive result and 240 give a negative result.
If a soil sample test gives a positive result, it is ___% likely that the soil sample contains organic matter.
665 with organic matter out of 665 + 60 = 725 positive tests.
665/725 = 0.9172
0.9172*100% = 91.72%.
91.72% likely that the soil sample contains organic matter.
What does £ mean in math? Not in currency.
it means mean in statistics. I'm not sure tho..
Variable c is 9 less than variable w. Variable c is also 3 more than variable w. Which pair of equations best models the relationship between c and w? (5 points)
a
c = w + 9
c = w − 3
b
w = c + 9
w = c − 3
c
c = w − 9
c = w + 3
d
w = c − 9
w = 4c + 3
B is the right anwser
please help. NO LINKS.
Answer:
the answer is A
y= 1.9x + 69
y=6x
Which is a solution to the equation 10-5y = 20?
y=2
y=4
y = 6
y = 10
Answer:
The correction answer is y = - 2
Step-by-step explanation:
10-5y=20
-5y=10
y=10/-5
y=-2
Can someone please tell me what is 19x8+80-7?
Answer:
225
Step-by-step explanation:
THIS IS DUE IN LIKE 5 MINUTES I WILL GIVE YOU BRAIN THING IF ITS CORRECT PLEASE HELP NO LINKS THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT
Answer:
The answer is C.
Step-by-step explanation:
to find the area you need to multiply the width times length, to find the length you need to add the c and 15 and have that mulitplied by 1/5
.
1/5(c+15)
In the triangle below.
Answer:
(1) 36.6 feet
Step-by-step explanation:
m∡Q = 180-(90+55) = 35
sin 35°/21 = sin 90°/PQ
cross-multiply to get:
21 = sin35·PQ
21/sin 35 = PQ
PQ = 36.6
Which two do i pick ? Evaporation changes gas / liquid water to ice (solid) / water vapor (gas).
Answer:
Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle
Step-by-step explanation:
thank you
You deposit $5,000 in an account that pays 2% annual interest. How long
does it take the balance to reach $10,000 when the interest is
compounded continuously. Round to the nearest tenth of a year.
help!!!!!!!!!!!!————
Answer :Could you take a better photo? I dont quite understand what needs to be found there
Step-by-step explanation:
Evaluate m) (x) for x = -3.
=
I
m (-3) =