Answer:
The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 160, standard deviation of 13.
Middle 68% of the scores of all the games that Riley bowls.
Within 1 standard deviation of the mean, so:
160 - 13 = 147.
160 + 13 = 173.
The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).
A museum conducts a survey of its visitors in order to assess the popularity of a device which
is used to provide information on the museum exhibits. The device will be withdrawn if fewer
than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors,
15 chose to use the device.
i. Carry out an appropriate hypothesis test at the 5% significance level to
see if the device should be withdrawn and state your conclusions.
ii. Calculate the p-value of the test
Answer:
i:
The appropriate null hypothesis is [tex]H_0: p \geq 0.2[/tex]
The appropriate alternative hypothesis is [tex]H_1: p < 0.2[/tex]
The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.
ii:
The p-value of the test is 0.1057
Step-by-step explanation:
Question i:
The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.
At the null hypothesis, we test if the proportion is of at least 20%, that is:
[tex]H_0: p \geq 0.2[/tex]
At the alternative hypothesis, we test if the proportion is less than 20%, that is:
[tex]H_1: p < 0.2[/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.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4[/tex].
The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.
This means that [tex]n = 100, X = \frac{15}{100} = 0.15[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}[/tex]
[tex]z = -1.25[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.
Looking at the z-table, z = -1.25 has a p-value of 0.1057.
The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.
Question ii:
The p-value of the test is 0.1057
Suppose that a population parameter is 0.3, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values? O A. 0.4 O B. 0.1 O C. 0.3 O D. 0.2 SUBMIT
Using the Central Limit Theorem, it is found that the mean of the sample proportions would approach 0.3, hence option C is correct.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, we have that the parameter is p = 0.3, hence the mean of the sample proportions would approach 0.3 and option C is correct.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
#SPJ1
play help me on this
Answer:
8n+10
Step-by-step explanation:
gimmi brainiest answer or me no give cookie
which statement is true? please help!
Which of the following statements is true for ∠a and ∠b in the diagram?
Step-by-step explanation:
a and b are corresponding angles
WILL MARK BRAINLEST!!!
find the domain and range of following
Answer:
{xcR} (x is all real numbers) and {y[tex]\leq[/tex]2[tex]\sqrt{\frac{y-1}{2} }[/tex]+1}
Step-by-step explanation:
1st: Find x by squaring both sides, subtracting 1 from both sides, and dividing by 2 from both sides to get x= [tex]\sqrt{\frac{y-1}{2} }[/tex]
2nd: Plug in x for y=[tex]2x^{2}[/tex]+1 which equals y=2([tex]\sqrt{\frac{y-1}{2} }[/tex])+1
3rd: This gives you the range (y) which is {y[tex]\leq[/tex]2[tex]\sqrt{\frac{y-1}{2} }[/tex]+1}
4th: domain is all real numbers
I hope this helped because this took me 30 minutes to do. I had to pull out my algebra math book to check I did it right. I hope I was right!
Choose which two numbers the following will fall between: *
V156 PLEASE HELP ME FASTTTTT
[tex]\sf\purple{A.\:Between \:12\:and\:13.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \sqrt{156} \\ = 12.4899 \\ = 12.49[/tex]
Therefore, [tex] \sqrt{156} [/tex] will fall in between 12 and 13.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
1 point
1. To win a prize, Jada must get a ball with an even number. Should she try
to win the prize using the tank of table tennis balls or the tank of golf balls?
A large fish tank is filled with table tennis balls with numbers written on them. Jada chooses 10
table tennis balls from the tank and writes down their numbers.
1
3
5
1
3.2
4
1
5
3
A second tank is filled with golf balls with numbers written on them. Jada chooses 10 golf balls
from the tank and writes down their numbers.
1
4
5
2.
6
2
2
1
4
O Jada should use the tank of tennis balls.
O Jada should use the tank of golf balls.
1b. Explain your reasoning."
Answer:
Step-by-step explanation:
What Jada needs is a tank which gives him a higher or greater probability of selecting an even number :
Tennis balls :
Total outcome = 10
Even outcomes = (2, 4) = 2
Golf balls :
Total outcome = 10
Even outcomes = (4,2,6,2,2,4,8) = 7
Probability = number of outcomes / number of trials
For tennis balls
P(even) = 2 / 10 = 0.5
For golf :
P(even) = 7/10 = 0.
Evaluate u + xy, for u = 20, x = 5, and y = 7.
Answer:
55
Step-by-step explanation:
u + xy, for u = 20, x = 5, and y = 7
u + xy = 20 + 5 * 7 = 20 + 35 = 55
Step-by-step explanation:
hear is your please check attachment
Ayuda es para mañana plsss
Answer:
Divido es numero
Step-by-step explanation:
1. 1045.90
2. 579.60
3. 634.15
4. 1084.71
Please help me, this is PEDMAS
Answer:
1). 183
2). 83
3). 353
4). -2652
5). 59
6). 510
7). -293
8). 79
9). 78
10). 87
Step-by-step explanation:
Considering order of operation, parenthesis must be simplified first.
The solutions to the given questions are shown below;
[tex]1). \ \ 5+(7\times (3+2)^2) + 3=8 + (7\times (5)^2) = 8 + (7\times 25) = 8 + 175 = 183[/tex]
[tex]2). \ 16+(8+ (6+2)^2) - 5=16-5 + (8+ (8)^2) = 11 + (8+64) = 11 + 72 = 83[/tex]
[tex]3). \ (15+ 3)^2 + ((14+6)+3^2)= (18)^2 + ((20) + 9) = 324 + (29) = 353[/tex]
[tex]4). \ ((11+ 2)-(24+2)^2)\times 2^2 = (13 - 676) \times 4 = (-663)\times 4 = -2652[/tex]
[tex]5). \ ((4+3)^2+ 6) -5+3^2= (49 + 6) - 5 + 9= (49+6+9) - 5 = 64-5 = 59[/tex]
[tex]6). \ (20+ 2)^2 +((15+7)+2^2)= (484) + (22+ 4)= 484 + 26 =510[/tex]
[tex]7). \ ((12 + 4)- (15+3)^2+ 5^2 = (16 - 324) + 25 = -318 + 25 = -293[/tex]
[tex]8). \ (6^2+ (24+ 3+5^2)) - 3^2= (36 + (52)) - 9 = (88) - 9 = 79[/tex]
[tex]9). \ ((10-4)^2\times 2) + 2 + 2^2= ((6)^2 \times 2) + 2 + 4 = (36\times 2)+ 6 = 72 + 6 = 78[/tex]
[tex]10). \ (7^2 + (16 + 8 + 2^2)) + 3^2 = (49 + 28) + 9 = 78 + 9 = 87[/tex]
A grocery store recently sold 6 cartons of vanilla yogurt and 12 other cartons of yogurt . Based on past data, how many of the next 48 cartons of yogurt sold should you expect to be vanilla?
Answer:
if following simple addition/multiplication, the answer should be 12 cartons of vanilla.
help urgent please
the graphs below have the same shape. what is the equation of the blue graph?
no links please
Answer:
D
Step-by-step explanation:
If you add or subtract three outside of the exponent (ex: x^2 + 3), then the parabola moves up and down.
If you add or subtract the number inside the exponent (ex: (x+3)^2), then the parabola moves side to side.
If you add three, the parabola moves left.
Thus, the answer is D.
please answer thank you
Answer:
37 / 16
Step-by-step explanation:
_____________________
(x^2+2x-1)+(2x^2 – 2x+1)
9514 1404 393
Answer:
3x^2
Step-by-step explanation:
Add coefficients of like terms.
(x^2 +2x -1) +(2x^2 -2x +1)
= (1 +2)x^2 +(2 -2)x +(-1 +1)
= 3x^2 +0x +0
= 3x^2
Answer:
3x^2
Step-by-step explanation:
(x^2+2x−1)+(2x^2−2x+1)
Combine x^2 and 2x^2 to get 3x^2.
3x^2+2x−1−2x+1
Combine 2x and −2x to get 0.
3x ^2−1+1
Add −1 and 1 to get 0.
3x^2
CHECK MY ANSWERS PLEASE
Kevin's savings account balance changed from $1140 in January to $1450 in April. Find the average rate of change per month. Round your answer to the nearest dollar.
$78 per month
$50 per month
$310 per month
$103 per month*****
Answer:
yessss that's correct!
Step-by-step explanation:
PLEASE HELP! If there are 19 successful outcomes in a sample with a size of 25, what is the sample proportion? O A. 0.32 B. 0.96 O C. 0.76 D. 0.52 SUBMIT
Answer:
0.76
Step-by-step explanation:0.76
i will mark brainliest
which statement best describes the are of Triangle ABC shown below?
A: it is going to have the area of a square of side lengths 6 units.
B it is twice the area of a square of side lengths 6 units.
C is one half the area of a rectangle with sides 6 units * 2 units.
Dit is twice the area of a rectangle with sides 6 units comes with two units.
9514 1404 393
Answer:
C is one half the area of a rectangle with sides 6 units * 2 units
Step-by-step explanation:
The area of any triangle is half the area of a rectangle of the same height and width. Here, the triangle has a width of 6 units and a height of 2 units. Its area is ...
one half the area of a rectangle with sides 6 units by 2 units
area of a trapezium.
Answer:
Step-by-step explanation:
A= (a + b) * h/2
Answer:
what they said
Step-by-step explanation:
yeah what they said
A pair of shoes that normally cost $24 is 25% off. what is the selling price of the jeans?
Answer:
The selling price of the shoe is $18
Step-by-step explanation:
Hey there!
According to the question, the normal cost price of pair of shoes is $24 (i.e $24 is MP= marked price).
Also, there is 25% off. (i.e discount)
Now,
SP (selling price) = MP - discount% of MP
or, SP = 24 - 25% of 24
or, SP= 24 - 6
Therefore, the SP of the shoes is $18.
Hope it helps!
$18
The answer is $18
(3x^ - 6x +11) - (10x^ - 4x + 6)
Answer:
3x−6x+11−(10x−4x+6)
=5x10−10x7+3x5
x10
=5x5−10x2+3
x5
Step-by-step explanation:
i hope this helps and i hope you understand this, sorry if you dont understand
If you apply the changes below to the reciprocal parent function, F(x) =
what is the equation of the new function?
• Horizontally stretch by multiplying by 1/6
• Translate 5 units right.
Answer:
The answer is "Option B".
Step-by-step explanation:
Please find the complete question in the attached file.
The Horizontal stretch [tex]=(\frac{1}{6 \ x})\\\\[/tex]
Translation by 5 units right[tex]=( \frac{1}{6\ x})-5[/tex]
Answer:
its A i used his answer and got it wrong
Does a even number have any related numbers that are odd like 3 or 7?
Answer:
I do not think that there is any even numbers related to odd numbers
Question 14 of 14
Which expression gives the distance between the points
(1,-2) and (2, 4)?
O A. (1+23° +(2-47
O B. (1-2)*+(-2-4)
O c. 111-23 +4:32-47
O D. Hit+2y +(2-479
Answer:
c
Step-by-step explanation:
what is the slope of the line that passes through these two points?
Answer:
The answer seems to be 3/1.
Step-by-step explanation:
Use the equation:
(y2-y1)/(x2-x1)
Evaluate the expression when a = 7 and c= -4.
-a+5c
pls help
Answer:
-27
Step-by-step explanation:
a = 7 and c = -4
- a + 5 c
- ( 7 ) + 5 ( - 4 )
- 7 - 20
- 27
Click on the solution set below until the correct one is displayed.
Answer:
You need to add the picture unless we cannot answer your question
Step-by-step explanation:
Please add the picture it would be very useful and essential to find the answer
Answer:
Add pictures plis
Step-by-step explanation:
Penny has a rectangular flower garden. The following polynomial gives the volume, V, of the garden with soil height, h.
V(h) = h3 + 5h2 – 24h
The product (h+8)(h-3) is a factor of the polynomial V(h). What does this product represent?
Answer:
30-24= 6h
Step-by-step explanation:
If Volume of a Prism=36 m3
, then what is the volume of a pyramid?
V(volume of pyramid) = ⅓ x V(volume of prism)
V(pyramid) = 1 x 36 m³/3V(pyramid) = 12 m³___________________________
And, to get the volume of prism, simply multiply the volume of pyramid by 3.
if volume of pyramid=12m³, then volume of prism is 36 m³.
Solution;:
V(volime of prism) = V(volume of pyramid) x 3
V(prism) = 12m³ x 3V(prism) = 36 m³___________________________
Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.
Kathleen hiked to the top of a mountain. She started the hike at 7:25 A.M. It took 3 hours and 45 minutes to get to the top of the mountain and 1 hour and 30 minutes to hike back down. What time was it when Kathleen finished the hike?
Answer: 11:45 am
Step-by-step explanation:
10:15
toget back down 10
;15