Answer:
Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.
Step-by-step explanation:
The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.
This means that at the null hypothesis we test if the proportion is at least 60%, that is:
[tex]H_{0}: p \geq 0.6[/tex]
And the alternate hypothesis is:
[tex]H_{a}: p < 0.6[/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.
0.6 is tested at the null hypothesis:
This means that:
[tex]\mu = 0.6[/tex]
[tex]\sigma = \sqrt{0.6*0.4}[/tex]
Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.
This means that [tex]n = 575, X = \frac{338}{575} = 0.5878[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}[/tex]
[tex]z = -0.6[/tex]
Pvalue of the test and decision:
We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.
Looking at the z-table, z = -0.6 has a pvalue of 0.2743.
Since 0.2743 > 0.1, the threshold probably was met.
Part A
Redcross Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile (m).
Katie has no more than $10 to spend on a ride.
Write an inequality that represents Katie’s situation.
Part B
How many miles can Katie travel without exceeding her limit?
A- m≤11
B- m≤12
C- m≤10
D- m≤13
Answer:
A. 10 is less than or equal to 1.75+0.65m
B. D
Step-by-step explanation:
Which pair of angles are supplementary angles?
A. 33, 66
B. none of the above
C. 140, 40
D. 100, 78
Answer:
C. 140, 40
Step-by-step explanation:
Supplementary angles are two angles that add up to a sum of 180°.
140+40 = 180
Bob asked each of 40 friends how many minutes they took to get to work.
The table shows some information about his results.
Frequency
3
8
Time taken (m minutes)
0
10
20
30
40
11
9
9
Work out an estimate for the mean time taken.
PLEASE HELP
The table above gives selected values for the differentiable function f. in which of the following intervals must there be a number c such that f’(c)=2 PHOTO ATTACHED
Answer:
C.
Step-by-step explanation:
We need to apply Mean Value theorem here.
We just need to calculate the average rate of change for each interval.
A) x=0 to x=4
We have the points (0,8) and (4,0) are the points that correspond to the endpoints of the given interval.
(8-0)/(0-4)
8/-4
-2
Not this choice
B) x=4 to x=8
We have the points (4,0) and (8,2) are the points that correspond to the endpoints of the given interval.
(2-0)/(8-4)
2/4
1/2
Not this choice
C) x=8 to x=12
We have the points (8,2) and (12,10) are the points that correspond to the endpoints of the given interval.
(10-2)/(12-8)
8/4
2
This one works.
D) x=12 to x=16
We have the points (12,10) and (16,1) are the points that correspond to the endpoints of the given interval.
(1-10)/(16-12)
-9/4
The table is an illustration of mean value theorem
[tex]\mathbf{f'(c) =2}[/tex] on the interval (8,12)
If a function is differentiable, then:
[tex]\mathbf{f'(c) =\frac{f(b) - f(a)}{b - a}}[/tex]
(a) (0,4)
This gives
[tex]\mathbf{f'(c) =\frac{f(4) - f(0)}{4 - 0}}[/tex]
[tex]\mathbf{f'(c) =\frac{f(4) - f(0)}{4}}[/tex]
From the table, we have:
[tex]\mathbf{f'(c) =\frac{0 - 8}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{- 8}{4}}[/tex]
[tex]\mathbf{f'(c) =-2}[/tex]
(b) (4,8)
This gives
[tex]\mathbf{f'(c) =\frac{f(8) - f(4)}{8 - 4}}[/tex]
[tex]\mathbf{f'(c) =\frac{f(8) - f(4)}{4}}[/tex]
From the table, we have:
[tex]\mathbf{f'(c) =\frac{2-0}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{2}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{1}{2}}[/tex]
(c) (8,12)
This gives
[tex]\mathbf{f'(c) =\frac{f(12) - f(8)}{12 - 8}}[/tex]
[tex]\mathbf{f'(c) =\frac{f(12) - f(8)}{4}}[/tex]
From the table, we have:
[tex]\mathbf{f'(c) =\frac{10-2}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{8}{4}}[/tex]
[tex]\mathbf{f'(c) =2}[/tex]
Hence, [tex]\mathbf{f'(c) =2}[/tex] on the interval (8,12)
Read more about mean value theorems at:
https://brainly.com/question/3957181
three of the exterior angles of an n sided polygon are 15°, 25° , 70° and the remaning exterior angles are 50°each. find the value of n
Answer:
8
Step-by-step explanation:
15+25+70+50x = 360 ( total exterior angles = 360° )
50x = 360-15-25-70
= 250
x= 5
n = 5 + 3
= 8
1: One shelf is 65cm long. Another shelf is 78cm long. What
is their total length in metres?
Answer:
1.43 Metres
Step-by-step explanation:
Since 1 Metre is equal to 100 centimetres, and 65 + 78 is 143 centimetres, to convert it to METRES we need to divide 143 by a hundred, making the output become 1.43 METRES.
The sum of the lengths of the shelves are 143 cm.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, One shelf is 65cm long. Another shelf is 78cm long.
Therefore, The sum of the lengths of the two trucks would be the sum of the individual lengths of the shelf which is,
= (65 + 78) cm.
= 143 cm.
learn more about arithmetic operations here :
https://brainly.com/question/25834626
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Simplify 11x+3y-5x-2y
Answer: 6x+y
Step-by-step explanation:
Answer:
6x + y
Step-by-step explanation:
11x + 3y - 5x - 2y
→ Simplify the x terms
6x + 3y - 2y
→ Simplify the y terms
6x + y
Help please !!! ❗️❗️❗️❗️❗️❗️
Step-by-step explanation:
1. f(x) = 12x + 1
f(-2) = 12(-2) + 1 = -23
f(0) = 12(0) + 1 = 1
f(3) = 12(3) + 1 = 37
2. p(x) = -8x - 2
p(-2) = -8(-2) - 2 = 14
p(0) = -8(0) - 2 = -2
p(3) = -8(3) - 2 = -26
3. m(x) = -6.5x
m(-2) = -6.5(-2) = 13
m(0) = -6.5(0) = 0
m(3) = -6.5(3) = -19.5
4. s(x) = ⅖x + 3
s(-2) = ⅖(-2) + 3 = -⅘ + 3 = 11/5
s(0) = ⅖(0) + 3 = 3
s(3) = ⅖(3) + 3 = 6/5 + 3 = 21/5
5. h(x) = ¾x - 6
h(-2) = ¾(-2) - 6 = -6/4 - 6 = -30/4
h(0) = ¾(0) - 6 = -6
h(3) = ¾(3) - 6 = 9/4 - 6 = -15/4
Find the measure of <6
Answer:
110 degrees
Step-by-step explanation:
Parallels lines, when intersected by a straight line, form congruent angles. Therefore 110 is equal to angle 6
show me 1/3 on a number line
Answer:
A possible number line is shown below.
Step-by-step explanation:
I-----------------I----------------I
0 1/3 1
Answer:
Step-by-step explanation:
The national average for the number of students per teacher for all U.S. public schools is 15.9. A random sample of 12 school districts from a moderately populated area showed that the mean number of students per teacher was 19.2 with a variance of 4.41. Assume a normal distribution is appropriate for the number of students per teacher.a)[7 pts] Estimate the true mean number of students per teacher with 95% confidence from the random sample. b) [6 pts] A researcher makes the claim that moderately populated districts have a different number of students per teacher than the national average. Do the data support this claim
Answer:
The 95% confidence interval of the mean is
(17.8658, 20.5342)
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 15.9
Given that the size of the sample 'n' =12
Mean of the sample x⁻ = 19.2
Given that the variance of the sample = 4.41
The standard deviation of the sample (S) = 2.1
Step(ii):-
Degrees of freedom = n-1
ν = n-1 = 12-1=11
t₀.₀₅ = 2.2010
The 95% confidence interval is determined by
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]
[tex](19.2 - 2.2010 \frac{2.1}{\sqrt{12} } , 19.2 + 2.2010 \frac{2.1}{\sqrt{12} } )[/tex]
(19.2 - 1.3342 , 19.2+1.3342)
(17.8658 , 20.5342)
Final answer:-
The 95% confidence interval of mean is
(17.8658 , 20.5342)
volusia instructure.com - Private A triangle is shown below. What are the coordinates of the three vertices? 10T 9 8 -6 5 B 3 4 5 6 7 8 9 10 10-9-8-7 -6 -4-3-2 1 2 с AC 5 -6 -8 O (7,3), (-2, 3), (3,-2) 0 (-7, -3), (-2, 3), (2, -3) O (-7,-3), (3,-2), (-2,-3) (3, 7), (3, -2), (-2,3) Avection
7,3), (-2, 3), (3,-2) 0 (-7, -3), (-2, 3), (2, -3)
Enter the quotient.
32)4960
Answer:0.0064516129
Step-by-step explanation:
haha i give points plus brainiest
Answer:
Thanks you pleasentful waffle
Step-by-step explanation:
1245 :- 14 me pueden ayudar porfa
PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
Answer:
y = ½x + 8
Step-by-step explanation:
The equation of the function can be written in the slope-intercept form y = mx + b.
m = slope = change in y/change in x
b = y-intercept = the value of y when x is zero
✔️From the table, when x = 0, y is 8.
Therefore,
y-intecept (b) = 8
✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):
m = (9 - 6)/(2 -(-4))
m = 3/6
m = ½
✔️Next is to plug in the values of m and b into y = mx + b.
Thus:
y = ½x + 8
Your goal is to create a college fund for your child. Suppose
you find a fund that offers an APR of 5% How much should
you deposit monthly to accumulate $170,000 in 15 years?
Answer:
the monthly payment is $636.02
Step-by-step explanation:
The computation of the monthly amount deposited i.e. PMT is given below:
GIven that
NPER = 15 × 12 months = 180
RATE = 5% ÷ 12 = 0.4167%
PV = $0
FV = $170,000
based on the above information
The formula is shown below:
= PMT(RATE;NPER;PV;FV;TYPE)
AFter applying the above formula, the monthly payment is $636.02
5.7x10^-3 in standard notation
write an equation for the function graphed below. k(t)=
Answer:
I think that the equation would be Y= -2X^2-4X-4 .
Step-by-step explanation:
Hope it wad helpful :)
Solve : t+2t squared
Answer:
t=0 or t=-1/2
Step-by-step explanation:
Solve for t over the real numbers:
t (2 t + 1) = 0
Split into two equations:
t = 0 or 2 t + 1 = 0
Subtract 1 from both sides:
t = 0 or 2 t = -1
Divide both sides by 2:
Answer: |
| t = 0 or t = -1/2
anyone help me pls:
1/9 - 3/4
Answer:
- 23/36
Step-by-step explanation:
Make sure both fractions of the denominators are the same.
1 x 4 = 4
9 x 4 = 36
3 x 9 = 27
4 x 9 = 36
Final: 4/36 - 27/36 = - 23/36
PLEASE HELP ASAP!!
Find the area of the rectangle below in terms of y. Make sure your expression is fully
simplified.
Recall, the formula for area of a rectangle is A= lw
YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT.
Step-by-step explanation:
Area of rectangle is Length × Breadth
Where Length is 6y⁴+3y³-y²-8Width is 2y²We need to multiply these 3 terms.
[tex]\rm{2y^2 \times (6y^4 + 3y^3 - y^2 - 8)}[/tex]
Use distributive property
= 12 y⁶ + 6y⁵ - 2 y⁴ - 16 y²
Hope it helps :)
Factoriza el trinomio a continuación.
x2+ 5 x - 24
O A. (x-3) (x + 8)
O B. (x-8)(x+3)
O c. (x-6) (x+4)
O D. (x-4) (x+6)
Answer:a
Step-by-step explanation:
If the earth's radius is approximately 4,000 mi, what distance (in miles) is traveled by the satellite in one complete orbit? Use your calculator value of . Round your answer to two decimal places.
( NO LINKSSSSS!!!!!!!!!!!!!!!!!!!!!!!)
Answer:
radius [r]=4000mi
circumference [C]=2πr=2×π×4000mi=25132.74mi
so,it travels 25132.74mi in one complete orbit.
Karen has a coupon for $1.52 off on
a package of chocolate bars. A
package normally costs $10.25, and
it has 9 chocolate bars. If Karen uses
her coupon, what will the price per
chocolate bar be?
Answer:
I believe that $0.97 would be right
Step-by-step explanation:
10.25 - 1.52 = 8.73, divide 8.73 by 9 to get 0.97
In Exercise 7, how likely is it Mrs. Phillips will open a
can of corn? a can of peas? Explain.
Answer:ptsStep-by-step explanation:
Find the distance on maple street, in miles, from M to P
Answer:
8
Step-by-step explanation:
Use the right triangle altitude theorem. The three triangles are right triangles and are similar.
MP/FP = FP/EP
MP/12 = 12/(EM + MP)
MP/12 = 12/(10 + MP)
MP(10 + MP) = 144
MP^2 + 10MP - 144 = 0
(MP + 18)(MP - 8) = 0
MP = -18 or MP = 8
Since a side length cannot be negative, the answer is MP = 8
Answer: 8
7. Sydney cleans her room for 45 minutes. 'She starts at 11:13 a.m. What time does Sydney finish cleaning her room?
Answer:11:58 duh
Step-by-step explanation I can count
Answer:
SYDNEY FINISH CLEANING HER ROOM AT 11:58 a.m.
PLSSS THO Write an equation that matches the graph shown below for the number of days, d, in any number of weeks, w.
Answer:
d= 7w, if you are looking for a slope intercept form
The price that Abigail paid for her snowboard, $84, is less than what Dan paid by $18. How much did Dan pay for his snowboard?
9514 1404 393
Answer:
$102
Step-by-step explanation:
Dan paid $18 more than $84:
18 + 84 = 102
Dan paid $102 for his snowboard.