Answer:
The value of teh test statistic is [tex]z = 5.54[/tex]
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that the proportion differs from 0.2.
Step-by-step explanation:
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.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]
Using the sample results p^=0.27 with n=1003
This means that [tex]X = 0.27, n = 1003[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.27 - 0.2}{\frac{0.4}{\sqrt{1003}}}[/tex]
[tex]z = 5.54[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0.2 by at least 0.07, which is P(|z| > 5.54), that is, 2 multiplied by the p-value of z = -5.54.
Looking at the z-table, z = -5.54 has a p-value of 0.
2*0 = 0.
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that the proportion differs from 0.2.
Please help me i will give Brainly
Answer:
Step-by-step explanation:
[tex]\frac{3x + 5}{2x + 7}[/tex] = 5
do cross multiplication
3x + 5 = 5(2x + 7)
3x + 5 = 10x + 35
5 - 35 = 10x - 3x
-30 = 7x
-30/7 = x
20 A
since there are 7 angles given it means that the polygon is heptagon as heptagon has 7 sides.
sum of interior angle of heptagon = (n-2)*180
(7-2)*180
5*180
900
Now ,
110 + 90 + 150 + 102 + 110 + 170 + x = 900
732 + x = 900
x = 900 - 732
x = 168 degree
20 B
since 5 angles are given it means that the polygon is pentagon as pentagon has 5 sides.
sum of interior angles of a pentagon = (n-2)*180
(5-2)*180
3*180
540 degree
Now ,
110 + 95 + 120 + 114 + x = 540
465 + x = 540
x = 540 - 465
x = 75 degree
21
let one rational number be x
according to the question,
1/7 * x = 2
x/7 = 2
do cross multiplication
x = 14
Suppose y varies inversely with x, and y = 18 when x = 12. What is the value of x when y = 24? NO LINKS OR ANSWERING YOU DON'T KNOW?
a. 24
b. 9
c. 12
d. 18
Answer:
B. 9
Step-by-step explanation:
We are given that y varies inversely with x. Recall that inverse variation has the form:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of variation.
We are given that y = 18 when x = 12. Hence:
[tex]\displaystyle (18)=\frac{k}{(12)}[/tex]
Solve for k. Multiply both sides by 12:
[tex]k=12(18)=216[/tex]
Thus, our equation is:
[tex]\displaystyle y=\frac{216}{x}[/tex]
We want to find x when y = 24. Substitute:
[tex]\displaystyle \frac{24}{1}=\frac{216}{x}[/tex]
Cross-multiply:
[tex]24x=216[/tex]
Divide both sides by 24. Hence:
[tex]x=9[/tex]
Our answer is B.
Answer:
B
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 18 when x = 12 , then
18 = [tex]\frac{k}{12}[/tex] ( multiply both sides by 12 )
216 = k
y = [tex]\frac{216}{x}[/tex] ← equation of variation
When y = 24 , then
24 = [tex]\frac{216}{x}[/tex] ( multiply both sides by x )
24x = 216 ( divide both sides by 24 )
x = 9
09:30 am - 4:30 pm minus 30 minutes?
Answer:
4:30
because 9:30 minus 4:30 = 5:00 and 5:00 minus 30 =4:30
Find the angle between the vectors ????=????+???? and ????=−????+????. (Give an exact answer. Use symbolic notation and fractions where needed.)
Answer:
The angle between them is 60 degrees
Step-by-step explanation:
Given
[tex]a = 2i + j -3k[/tex]
[tex]b = 3i - 2j -k[/tex]
Required
The angle between them
The cosine of the angle between them is:
[tex]\cos(\theta) = \frac{a\cdot b}{|a|\cdot |b|}[/tex]
First, calculate a.b
[tex]a \cdot b =(2i + j -3k) \cdot (3i - 2j -k)[/tex]
Multiply the coefficients of like terms
[tex]a \cdot b =2 * 3 - 1 * 2 - 3 * -1[/tex]
[tex]a \cdot b =7[/tex]
Next, calculate |a| and |b|
[tex]|a| = \sqrt{2^2 + 1^2 + (-3)^2[/tex]
[tex]|a| = \sqrt{14[/tex]
[tex]|b| = \sqrt{3^2 + (-2)^2 + (-1)^2}[/tex]
[tex]|b| = \sqrt{14}[/tex]
Recall that:
[tex]\cos(\theta) = \frac{a\cdot b}{|a|\cdot |b|}[/tex]
This gives:
[tex]\cos(\theta) = \frac{7}{\sqrt{14} * \sqrt{14}}[/tex]
[tex]\cos(\theta) = \frac{7}{14}[/tex]
[tex]\cos(\theta) = 0.5[/tex]
Take arccos of both sides
[tex]\theta =\cos^{-1}(0.5)[/tex]
[tex]\theta =60^o[/tex]
What is the meaning proportion between 3 and 27?
Answer:
you mean the mean not the meaning right?
The mean proportional of 3 and 27 = +√3×27 = +√81 = 9.
. Use trigonometric expressions to build an equivalent trigonometric identity with the given expression: cos (x) − cos3 (x) = ?
A)cos (x) sin (x)
B)cos (x) sin2 (x)
C)sin2 (x)
D)sin (x) cos2 (x)
Answer:
B
Step-by-step explanation:
We want to determine an equivalent trignometric identity with the given expression:
[tex]\cos (x) - \cos^3 (x)[/tex]
We can factor out a cos(x):
[tex]=\cos (x) (1-\cos^2 (x))[/tex]
Recall from the Pythagorean Identity that:
[tex]\sin^2(x) + \cos^2(x) = 1[/tex]
Therefore:
[tex]\displaystyle \sin^2(x) = 1 - \cos^2(x)[/tex]
Substitute:
[tex]=\cos(x)(\sin^2(x))=\cos(x)\sin^2(x)[/tex]
Our answer is B.
A small insurance company has determined that on average it receives 6 property damage claims per day. P left parenthesis X equals k right parenthesis space equals space fraction numerator lambda to the power of k e to the power of negative lambda end exponent over denominator k factorial end fraction k space i s space t h e space g i v e n space n u m b e r space o f space e v e n t space o c c u r r e n c e s lambda space i s space t h e space a v e r a g e space r a t e space o f space e v e n t space o c c u r r e n c e s What is the probability that the company will receive 7 property damage claims on a randomly selected day? Answer choices are rounded to the hundredths place.
Answer:
The probability that the company will receive 7 property damage claims on a randomly selected day is 0.137
Step-by-step explanation:
Given,
[tex]\lambda=6[/tex],
The probability mass function of Poisson distribution is used for evaluating the probability of the company will receive 7 property damages claims on any selected day is,
[tex]\begin{aligned}P(X=K)&=e^{-6} \times \dfrac{6^7}{7!}\\&=0.002478\times\dfrac{279936}{5040}\\&=\dfrac{693.89136}{5040}\\P(X=7)&=0.1365927874\\P(X=7)&=0.137\; (\rm{rounded \;off})\end{aligned}[/tex]
To learn more about this, please refer to the below link:
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PLEASE HELP!!!
A television is purchased by a company for $210. They mark up the price by 55%. What is the selling price? Show two different ways to solve this problem.
Answer:
$325.50
Step-by-step explanation:
1) 210÷100 = 2.1
2.1×55 = 115.5
210 + 115.5 = 325.5
2) 210×55 = 11550
11550÷100 = 115.5
210 + 115.5 = 325.5
"1. A z-score of zero always means
a.
the raw score does not exist.
b.
the raw score exists, but is negligible.
c.
the raw score almost never occurs.
d.
the raw score is equal to the mean."
Answer:
d.
Step-by-step explanation:
Here is an answer I found on the internet (kudos to investopedia.com)
If a Z-score is 0, it indicates that the data point's score is identical to the mean score.
In other words, it's saying that a z-score of zero has a standard deviation of zero.
please answer
Find the area of the polygon.
6 cm6 cm10 cm
Answer:
Area: 360 cm
Perimeter: 44 cm
Step-by-step explanation:
To calculate the area, you must multiply the length x width.
If you need help calculating the perimeter too, just add all your lengths and widths together twice.
Assume the random variable X is normally distributed, with mean = 54 and standard deviation o = 8. Find the 15th percentile.
Answer:
45.712
Step-by-step explanation:
We need to find the Zscore of the area of 15 percent of the distribution ; using a Z table or calculator ;
Zscore of 15% of the distribution is : - 1.036
Using the Zscore formula :
Zscore = (x - mean) / standard deviation
Where, x = score
-1.036 = (x - 54) / 8
Cross multiply
-1.036 * 8 = x - 54
-1.288 = x - 54
x = - 8.288 + 54
x = 45.712
Find the equation of the line passing through the points (2, 4) and (3, 2).
Im asking a question because yes
+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+
ANSWER WITH A, B, C, OR D.
A fruit stand has to decide what to charge for their produce. They need $10 for 4 apples and 4 oranges. They also need $12 for 6 apples and 6 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Choose 1 answer:
A
Yes; they should charge $1.00 for an apple and $1.50 for an orange.
B
Yes; they should charge $1.00 for an apple and $1.00 for an orange.
C
No; the system has many solutions.
D
No; the system has no solution.
Answer:
I believe the answer would be A!
Step-by-step explanation:
If you need $10 total, then charging $1 for 4 apples would get you $4, and charging $1.50 for 4 oranges would get you $6, totaling $10!
To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (36, 6), we know that (36, 6) is a point on the line. So we just need to find its slope. The slope of a tangent line to f(x) at x
Answer:
[tex]m = \frac{1}{12}[/tex]
Step-by-step explanation:
Given
[tex](x,y) = (36,6)[/tex]
[tex]f(x) = \sqrt x[/tex] ----- the equation of the curve
Required
The slope of f(x)
The slope (m) is calculated using:
[tex]m = \lim_{h \to 0} \frac{f(a + h) - f(a)}{h}[/tex]
[tex](x,y) = (36,6)[/tex] implies that:
[tex]a = 36; f(a) = 6[/tex]
So, we have:
[tex]m = \lim_{h \to 0} \frac{f(a + h) - f(a)}{h}[/tex]
[tex]m = \lim_{h \to 0} \frac{f(36 + h) - 6}{h}[/tex]
If [tex]f(x) = \sqrt x[/tex]; then:
[tex]f(36 + h) = \sqrt{36 + h}[/tex]
So, we have:
[tex]m = \lim_{h \to 0} \frac{\sqrt{36 + h} - 6}{h}[/tex]
Multiply by: [tex]\sqrt{36 + h} + 6[/tex]
[tex]m = \lim_{h \to 0} \frac{(\sqrt{36 + h} - 6)(\sqrt{36 + h} + 6)}{h(\sqrt{36 + h} + 6)}[/tex]
Expand the numerator
[tex]m = \lim_{h \to 0} \frac{36 + h - 36}{h(\sqrt{36 + h} + 6)}[/tex]
Collect like terms
[tex]m = \lim_{h \to 0} \frac{36 - 36+ h }{h(\sqrt{36 + h} + 6)}[/tex]
[tex]m = \lim_{h \to 0} \frac{h }{h(\sqrt{36 + h} + 6)}[/tex]
Cancel out h
[tex]m = \lim_{h \to 0} \frac{1}{\sqrt{36 + h} + 6}[/tex]
[tex]h \to 0[/tex] implies that we substitute 0 for h;
So, we have:
[tex]m = \frac{1}{\sqrt{36 + 0} + 6}[/tex]
[tex]m = \frac{1}{\sqrt{36} + 6}[/tex]
[tex]m = \frac{1}{6 + 6}[/tex]
[tex]m = \frac{1}{12}[/tex]
Hence, the slope is 1/12
Jordan rides a bike from Clovis to Millerton Lake. On the flatland Jordan travels at 36 mph for 1 hour, and in the mountains rides for 3 hours traveling at 20 miles per hour. Which of the following choices is the average speed for the trip?
Answer:
24 mph
Step-by-step explanation:
1 hour of 36 mph
3 hours of 20 mph
(36 + 20 + 20 + 20)/4
96/4
24
Answer:
24 mph
Step-by-step explanation:
36 miles = 1 hour
60 miles = 3 hours
36+60= 96
1+3+4
96/4= 24
The average revenue collected on this flight is $145/seat. However, if the flight is overbooked and the airline needs to rebook a ticketed passenger, United typically gives the customer a free round-trip ticket for a future flight. The cost of this free round-trip ticket averages $330. By how many seats should United overbook for this route
This question is incomplete, the complete question is;
United Airline flights from Newark to Seattle are typically booked to capacity. However, due to United’s current lenient rebooking policies, on average 17 customers (with a standard deviation of 10) cancel or are no shows for these flights. The average revenue collected on this flight is is $145/seat. However, if the flight is overbooked and the airline needs to rebook a ticketed passenger, United typically gives the customer a free round-trip ticket for a future flight. The cost of this free round-trip ticket averages $330. By how many seats should United overbook for this route?
Answer:
the number of seats that should be overbooked is approximately 12
Step-by-step explanation:
Given the data in the question;
average = 17 customers
standard deviation = 10
Cost of under booking the flight ( underage ); Cu = $145
Cost of overbooking the flight ( Overage ); Co = $330
we calculate the service level
service level = Cu / ( Cu + Co )
we substitute
Service level = 145 / ( 330 + 145 )
= 145 / 475
Service level = 0.3053
In excel, we use NORMSIV function to determine the z-value
z-value = NORMSIV ( 0.3053 )
z -value = -0.509
Now, the number of seats (Q) that should be overbooked will be;
Q = Average cancellations + Z-value × S.D
we substitute
Q = 17 + ( -0.509 × 10 )
Q = 17 + ( -5.09 )
Q = 17 - 5.09
Q = 11.91 ≈ 12
Therefore, the number of seats that should be overbooked is approximately 12
Find the volume of this sphere.
Use 3 for TT.
V [?]in3
V = Tr3
8 in
Answer:
The volume of the sphere is 2048 in³.
Step-by-step explanation:
The volume of a sphere is given by:
[tex] V = \frac{4}{3}\pi r^{3} [/tex]
Where:
r: is the radius = 8 in
Having the radius and by using 3 for π, the volume is:
[tex] V = \frac{4}{3}*3 (8 in)^{3} = 2048 in^{3} [/tex]
Therefore, the volume of the sphere is 2048 in³.
I hope it helps you!
Given that the area of a triangle ABC is 4.5 m², a=4, b=3, find two possible measures for angle C. Round your answer to the nearest tenth
Answer:
[tex]C = 48.6[/tex]
Step-by-step explanation:
Given
[tex]Area= 4.5m^2[/tex]
[tex]a =4[/tex]
[tex]b = 3[/tex]
Required
Find angle C
The area of the triangle will be calculated using:
[tex]Area = \frac{1}{2}ab \sin C[/tex]
So, we have:
[tex]4.5= \frac{1}{2} * 4 * 3 * \sin C[/tex]
[tex]4.5= 6 * \sin C[/tex]
Divide both sides by 6
[tex]0.75= \sin C[/tex]
Take arc sin of both sides
[tex]\sin^{-1}(0.75)= C[/tex]
[tex]48.6 = C[/tex]
[tex]C = 48.6[/tex]
A survey of high schools within a district revealed that for ninth graders, 38% offer no honors classes, 12% offer one
honors class, 25% offer two honors classes, 20% offer three honors classes, and 5% offer four honors classes. A
high school is selected at random. What is the probability that it offers an even number of honors classes?
0.30
O 0.32
O 0.62
O 0.68
Answer:
0.30
Step-by-step explanation:
Find the probability by adding the probabilities together for having two and four honors classes.
25% offer two honors classes and 5% offer four honors classes. Add these together:
25 + 5
= 30
So, there is a 30% probability that the school offers an even number of honors classes.
The correct answer is 0.30.
help with algebra pls help
9514 1404 393
Answer:
a. 1.48 seconds
Step-by-step explanation:
You want to find the larger value of t such that h(t) = 10.
-16t^2 +25t +8 = 10
16t^2 -25t +2 = 0 . . . . subtract the left side to get standard form
Using the quadratic formula, we find the values of t to be ...
t = (-(-25) ± √((-25)^2 -4(16)(2)))/(2(16)) = (25±√497)/32
t ≈ 0.08 or 1.48
The ball goes in the hoop about 1.48 seconds after it is thrown.
__
Additional comment
The quadratic formula tells us the solution to ...
ax² +bx +c = 0
is given by ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Here, we have a=16, b=-25, c=2. Of course, our variable is t, not x, but the relation is the same.
Change 9/3 to percentage
Answer:
300%
Step-by-step explanation:
because 9/3×100=900/3=300 so it is 300%
Answer:
300%
Step-by-step explanation:
9/3 * 100%
900%/3 = 300%
In a certain region, the probability of a baby being born a is instead of 0.5. Let A denote the event of getting a when a baby is born. What is the value of ?
Answer:
[tex]P(\bar A) = 0.5[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.5[/tex]
Required
[tex]P(\bar A)[/tex]
To do this, we make use of complement rule:
[tex]P(\bar A) = 1 - P(A)[/tex]
So, we have:
[tex]P(\bar A) = 1 - 0.5[/tex]
[tex]P(\bar A) = 0.5[/tex]
It takes Caroline 1 hr to ride the train to some place and 1.5 hr to ride the bus. Every week, she must make at least 8 trips to the place, and she plans to spend no more than 9 hr in travel time. If a train trip costs $6 and a bus trip costs $5, how many times per week should she ride each in order to minimize her cost?
She should ride the train for ___ trips and the bus for ___ trips in order to minimize her cost.
Answer:
She should ride the train for 6 trips and the bus for 2 trips in order to minimize her cost.
Step-by-step explanation:
Let x represent the number of times that she travels using the train and let y represent the number of times she travels using the bus. Since she makes at least 8 trips to the place, hence:
x + y ≥ 8
Also, she plans to spend no more than 9 hr in travel time. Hence:
x + 1.5y ≤ 9
x ≥ 0, y ≥ 0.
Plotting the above equations on geogebra online graphing tool, the solution is (6, 2), (8, 0) and (9, 0).
If a train trip costs $6 and a bus trip costs $5, The cost equation (C) is:
C = 6x + 5y
At point (6, 2): C = 6(6) + 5(2) = $46
At point (8, 0): C = 6(8) + 5(0) = $48
At point (9, 0): C = 6(9) + 5(0) = $54
Therefore the minimum cost is at (6, 2). She should ride the train for 6 trips and the bus for 2 trips in order to minimize her cost.
In the Cash Now lottery game there are 20 finalists who submitted entry tickets on time. From these 20 tickets, three grand prize winners will be drawn. The first prize is one million dollars, the second prize is one hundred thousand dollars, and the third prize is ten thousand dollars. Determine the total number of different ways in which the winners can be drawn. (Assume that the tickets are not replaced after they are drawn.)
An experiment consists of tossing a coin and rolling a six-sided die simultaneously. Step 1 of 2 : What is the probability of getting a head on the coin and the number 2 on the die
Answer:
[tex]\frac{1}{12}[/tex] probability of getting a head on the coin and the number 2 on the die
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Independent events:
If two events, A and B are independent, the probability of both events happening is the multiplication of the probabilities of each event happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Probability of getting a head on the coin:
Head or tails, fair coin, so:
[tex]P(A) = \frac{1}{2}[/tex]
Probability of getting the number 2 on the die:
6 numbers, one of which is 2, so:
[tex]P(B) = \frac{1}{6}[/tex]
What is the probability of getting a head on the coin and the number 2 on the die?
[tex]P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex]
[tex]\frac{1}{12}[/tex] probability of getting a head on the coin and the number 2 on the die
Chef Amy does beginning inventory on Thursday night and finds that she has $4697 in food products in the restaurant
Throughout the week she purchases:
$668 produce
$2206 meat
$2488 dry goods
$3755 dairy
The following Thursday she does ending inventory and finds that she has $3518 in food.
She looks at her sales and finds that she made $30658 over the same 7 day period.
What is her food cost as a percentage of sales (her food cost percentage)? Please input your answer as a percentage (30%), instead of a decimal (0.3).
Answer:
Her food cost as a percentage of sales is 33.58%.
Step-by-step explanation:
Since Chef Amy does beginning inventory on Thursday night and finds that she has $ 4697 in food products in the restaurant, and throughout the week she purchases:
$ 668 produces
$ 2206 meat
$ 2488 dry goods
$ 3755 dairy
The following Thursday she does ending inventory and finds that she has $ 3518 in food.
She looks at her sales de ella and finds that she made $ 30658 over the same 7 day period.
To determine what her food cost is as a percentage of sales (her food cost percentage), the following calculation must be performed:
4,697 + 668 + 2,206 + 2,488 + 3,755 = 13,814
13,814 - 3,518 = 10,296
30,658 = 100
10,296 = X
10,296 x 100 / 30,658 = X
1,029,600 / 30,658 = X
33.58 = X
Therefore, her food cost as a percentage of sales is 33.58%.
1. What are the intercepts of the equation 2x+3/2y+3z=6
Answer:
x-intercept=3
y-intercept=4
z-intercept=2
Step-by-step explanation:
Which of the following statements are true?
Answer:
D
Step-by-step explanation:
i think it's correct if not I'm sorry
What is the solution set for |z+4|>15
Answer:
[tex]z + 4 = 15 \\ z + 4 - 4 = 15 \\ z = 15 - 4 \\ z = 11[/tex]
z>11
At the 6th grade school dance, there are 132 boys, 89 girls, and 14 adults. What is the ratio of adults to boys at the school dance?
Answer:
14 to 132
Step-by-step explanation:
We are given that there are 132 boys and 14 adults. Since the question is only asking for the ratio of adults to boys, we don't have to worry about the number of girls in this question. From here, we see that the question is asking for the ratio of adults to boys, so we put it in that exact order. Our answer is 14 to 132. I hope this helps and please don't hesitate to reach out with more questions!