Answer:
180 teenagers were at the game
The lifetime for a certain brand of widgets is normally distributed. A random sample of 25 widgets is taken and a sample mean lifetime of 520 hours with a standard deviation of 50 hours. Before taking the sample, researchers claimed that the mean lifetime of a widget was more than 500 hours. 1. null hypothesis:
2. the alternative hypothesis:
3. explain what test will be used and why?
Answer:
1. H0: u = 500
2. H1: u <500
3. One sample t test
Step-by-step explanation:
1. The null hypothesis in this question would be
H0: u = 500
2. The alternative hypothesis would be
H1: u < 500
3. The test that we are going to be using is the one sample t test. This test is used to test hypothesis. It would make a comparison of h0 to the mean of the sample. Now we are using this here because the sample standard deviation was given
What is the probability that the first marble is blue and the second marble is yellow?
Answer:
[tex]\frac{1}{14}[/tex]
Step-by-step explanation:
First time drawing:
Total outcome is 8
Favorable outcome is 2
The probability that the first marble drawing in random is blue is
[tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
Second time drawing (with no replacement):
Total outcome is 7 (8 - 1 = 7)
Favorable outcome is 2
The probability that the second marble drawing in random is yellow is
[tex]\frac{2}{7}[/tex]
The probability that the first marble is blue and the second marble is yellow is [tex]\frac{1}{4}[/tex] × [tex]\frac{2}{7}[/tex] = [tex]\frac{2}{28}[/tex] = [tex]\frac{1}{14}[/tex]
Simplify the following expression completely, where x 20.
x5xy* + 405x’y* - 180x’y4
O xy2 5x + xy? V405x – xy2/80x
0 6xyV5x
-3xy 5x + xy? J405x
O 6xy ſ5x}
Answer:
Option B is your answer
Step-by-step explanation:
hope it helps
have a great day!!
Answer:
A.) -80X^8 + 40x^7 -5x^6 -3x^2
Its OPTION A
Step-by-step explanation:
Which expression shows 50 4 30 written as a product of two factors
10(5 + 3)
6(10 + 7)
6(1043)
10(5 + 2)
Answer:
The answers is 10(5 + 3)
A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city. A management team in Portland has a big meeting tomorrow, and all 6 members of the team are hard at work in their separate households, preparing their presentations. What is the probability that none of them has lost electricity in his/her household
Answer:
0.647 = 64.7% probability that none of them has lost electricity in his/her household
Step-by-step explanation:
For each household, there are only two possible outcomes. Either they lost electricity, or they did not. The probability of a household losing electricity is independent of any other household. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city.
This means that [tex]p = 0.07[/tex]
6 members
This means that [tex]n = 6[/tex]
What is the probability that none of them has lost electricity in his/her household?
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.07)^{0}.(0.93)^{6} = 0.647[/tex]
0.647 = 64.7% probability that none of them has lost electricity in his/her household
PLS HELP AND ANSWER QUICK PLZ
Answer:
X = 90° , Y = 45°, Z = 45°
Step-by-step explanation:
The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.70 meters and the sample standard deviation was 1.17 meters.
a. Construct and interpret a 95% confidence interval for m, the population mean following distance while talking on a mobile phone for the population of taxi drivers.
b. What assumption must be made to generalize this confidence interval to the population of all taxi drivers in Greece?
a. The population of taxi drivers in Greece falls between 3.3766 meters and 4.0234 meters.
b. The assumption is that the sample of 50 taxi drivers is representative of the population.
a.
To construct a 95% confidence interval for the population mean following distance while talking on a mobile phone, we can use the formula:
Confidence Interval = sample mean ± (critical value × standard error)
The standard error:
Standard Error = sample standard deviation / √(sample size)
Standard Error = 1.17 / √(50)
Standard Error = 0.165
Since the sample size is large (n > 30), we can use the Z-table to find the critical value.
For a 95% confidence level, the critical value is approximately 1.96.
Now we can construct the confidence interval:
Confidence Interval = 3.70 ± (1.96 × 0.165)
Confidence Interval = 3.70 ± 0.3234
Confidence Interval = (3.3766, 4.0234)
Interpretation: We are 95% confident that the true population means following distance while talking on a mobile phone for the population of taxi drivers in Greece falls between 3.3766 meters and 4.0234 meters.
b.
The assumption that must be made to generalize this confidence interval to the population of all taxi drivers in Greece is that the sample of 50 taxi drivers is representative of the population. It is assumed that the sample was randomly selected and that the taxi drivers included in the study are a fair and unbiased representation of all taxi drivers in Greece.
Learn more about the confidence interval here:
https://brainly.com/question/31420373
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Need help 15 points pls help me
5 1/2 feet is the base of window.
Answer:
area of parllelogram =base×height
25 2/3=base×4 2/3
77/3=base×14/3
77/3×3/14=base
base=77/14=11/2=5 1/2feet
If one pair of supplementary angles is a right angle, the other angle must also be a right angle true or false?
Answer: True
Step-by-step explanation:
A supplementary angle refers to the angles that has a sum of 180° when they're added together.
We should note that a right angle equals to 90°, therefore the other angle in the supplementary angle will be:
= 180° - 90°
= 90°
Since a right angle equals 90°, then the other angle must be a right angle.
Therefore, the answer is TRUE.
What is the solution of the equation 4 1/5 + x = 4 3/5
[tex]4 \frac{1}{5} + x = 4 \frac{3}{5} \\ \\ x = 4 \frac{3}{5} - 4 \frac{1}{2} \\ \\ x = \frac{2}{5} [/tex]
Ralph opened up his checking account with $100. On Monday, he withdrew $45 to purchase a pair of jeans. On Wednesday, he deposited a $25 check he received for his birthday from his uncle. On Friday, he used his debit card to buy a $98 football ticket. What is the balance in Ralph's checking account?
Answer:
The answer is -18
Step-by-step explanation:
He starts off with $100 in his account. He then take so $45 to purchase a pair of jeans, so we have to subtract 45 from 100 and that gives us $55. He now has $55 in his account, he then adds another $25 to his account, so we have to add 25 to 55 and that will give us $80 in his account. Finally on Friday he takes out $98 of his checking account. He takes out more than he has in his checking account so we have to subtract $80 from $98 and we will get $18, but since he takes out more than what he has in his account the answer will be negative and we end up with -18 dollars in his checking account.
Answer:72
Step-by-step explanation:
What is the common denominator of 3 5 and 4 10
Answer:
3 and 5, 15; 4 and 10, 20
Step-by-step explanation:
The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.
The Diluent Corp. maintained in circulation during 2020 the following values: 200,000 common shares ($ 2,000,000 of legal capital), 10,000 cumulative preferred shares, 8% ($ 500,000 of legal capital), and two exchangeable bond issues: 1) $ 1,000,000 at 10%, exchangeable at the rate of 40 common shares per bond (each bond is worth $ 1,000), 2) $ 3,000,000 at 8%, exchangeable for 16 shares each (each bonus is worth $ 1,000). In addition, during 2020, Dilujador granted a stock option plan to an executive, through which he can acquire 20,000 common shares at $ 25 / share. The year-end market value of these shares is $ 35 / share. The net income for 2020 was $ 800,000 and the tax rate was 30%. Additionally, a 20% stock dividend was issued on December 30, 2020. There are no accumulated dividends (in arrears) on the preferred shares. Determine the basic and diluted earnings per share computation. Show all calculations. You will not receive partial points if you only write the final answer.
I dont know ask your mom maybe she knows
May I please get help on this
Do not click on his link it is a virus
Which of the equations below could be the equation of this parabola?
(0,0)
A. y = 5x2
B. x = -5y2
C. y = -5x2
D. x = 5y2
Answer:
Its B. x = -5y2
Step-by-step explanation:
The equation for the parabola is x = -5y² option (B) x = -5y² is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a graph of a parabola.
As we can, in the graph of a parabola:
The equation for the left side opening:
x = -ay²
Here a = 5
x = -5y²
Thus, the equation for the parabola is x = -5y² option (B) x = -5y² is correct.
Learn more about the parabola here:
brainly.com/question/8708520
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Work out m and c for the line:
y = x + 3
Step-by-step explanation:
Given equation
y = x + 3
Comparing with y = mx + c so
Slope (m) = 1
y-intercept (c) = 3
Hope it will help :)❤
Answer:
I don’t know if this is right, but I hope this helps!
Step-by-step explanation:
ANSWER THIS PLZZ I WILL GIVE TOP COMMENT :)!!!!!
Answer:
D, -42 multiply 6 on both sides
D. because when it is multiplied, the inequality is no longer true.
how many miles can u drive in 1 hour
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A N S W E R
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✩ ✩ ✩
It depends on the speed the car is going. If you are going 1 MPH you will drive a single mile per hour, but 2 MPH is 2 miles per hour. That's where the term "MPH" comes in, it tells you how many miles you will be driving per hour.
MPH = Miles Per Hour
Hope this helped, love! ✩ ✩ ✩
If 65% of Americans are overweight, how many people would be overweight in a city of 1.5 million?
Answer:
hey There
Step-by-step explanation:
This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).
Answer:
66.9%
i hope thats right
PLease help good afternoon
Answer: 75
Step-by-step explanation:
[tex]\frac{a}{15}=\frac{5}{1}[/tex]
a*1= 15*5
a= 75
Heather is considering purchasing an item that costs $17. The sales tax in Heather's area is set at 7.5%. What is the total purchase price that leather would be charged on this purchase? Round your answer to the nearest cent, if necessary.
Answer:
$18.28
Step-by-step explanation:
To get the answer all I did was take 7.5% of 17 which is 1.275
I then rounded 1.275 to 1.28. When you round up the number after the 7 has to be 5 or above. Seeing as the number was 5 we rounded it up to 1.28.
Then I took $17+$1.28= $18.28.
I hope this helps!!!
Noah is going to invest in an account paying an interest rate of 3.7% compounded annually. How much would Noah need to invest, to the nearest hundred dollars, for the value of the account to reach $1,110 in 13 years?
Answer:700
Step-by-step explanation:
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate. Do not round your intermediate computations, and round your answer to three decimal places.
Complete question:
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 of them germinate.
Answer:
[tex]P(x = 4) = 0.1376[/tex]
Step-by-step explanation:
Given
[tex]n = 9[/tex]
[tex]p = 63\%[/tex] --- proportion that germinates
[tex]p = 0.63[/tex]
Required
P(x = 4)
This question follows a binomial distribution:
[tex]P(x) = ^nC_x*p^x*(1-p)^{n-x[/tex]
When x = 4;
[tex]P(x = 4) = ^9C_4*0.63^4*(1-0.63)^{9-4[/tex]
[tex]P(x = 4) = ^9C_4*0.63^4*(0.37)^5[/tex]
[tex]P(x = 4) = 126*0.63^4*0.37^5[/tex]
[tex]P(x = 4) = 0.13763895392[/tex]
[tex]P(x = 4) = 0.1376[/tex]
HElP ME 5th grade math
Answer:
(4.80 x 0.05) + 4.80
Step-by-step explanation:
Suppose the mean income of firms in the industry for a year is 90 million dollars with a standard deviation of 15 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 109 million dollars? Round your answer to four decimal places.
Answer:
0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Distributed normally, mean of 90 million, standard deviation of 15 million.
This means that [tex]\mu = 90, \sigma = 15[/tex]
What is the probability that a randomly selected firm will earn less than 109 million dollars?
This is the pvalue of Z when X = 109. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{109 - 90}{15}[/tex]
[tex]Z = 1.27[/tex]
[tex]Z = 1.27[/tex] has a pvalue of 0.8980
0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars
HELP MARK BRAINLIEST!
Answer:
y = -4/3x - 1
2/6+1/4
Show work please
And no links
Answer:
7/12
Step-by-step explanation:
1/3+1/4
convert to twelfths
4/12+3/12
7/12
Answer:
7/12
Step-by-step explanation:
2/6 + 1/4
Change the denomintors to be alike (Change the denominators to 12) 4/12 + 3/12
Multipy the top and bottom
Add
Get 7/12
Brainliest?
Ella ran 6 times around her school building. Then she ran 4 miles home.
Her phone told her that she ran 7 miles total.
Select an equation that represents this situation
A. 6+4x=7 B. 6x+4=7 C. 6 (x+4) =7
Determine the value of x.
Answer:
B.6x+4=7
Step-by-step explanation:
x represents how many miles is around her school building which she did 6 times, 4 miles is for the amount she ran home and 7 miles is the combination of the 6 times the miles around her school, 6x and the miles she ran home 4
making the equation 6x+4=7
Fine the surface of one yard.
please help .-.
Answer:
1) 34 square meters
2) 21 square yards
Step-by-step explanation:
1) 7x4=28
1/2x3x2x2=6
28+6= 34 square meters
2)3x3=9
1/2x3x2x4=12
9+12= 21 square yards
Please help me solve this I’ll give you all my points
Answer:
170
Step-by-step explanation: