Answer:
is there any more information you could give?
Step-by-step explanation:
**i promise to provide a real answer**
Answer:
7 children and 3 adults
Step-by-step explanation:
We should set up a system of equations for this problem, so let's say that:
x represents the number of children
y represents the number of adults
We know there is a total of 10 people, so:
x + y = 10
We also know that each adult had to pay $22.50 and each child had to pay $12.50. Their total amount paid is $155.00, so:
12.50x + 22.50y = 155.00
Simplifying this a bit:
12.5x + 22.5y = 155
Now, we can use the substitution method to solve this system of equations:
x + y = 10
y = 10 - x
12.5x + 22.5y = 155
12.5x + 22.5 (10 - x) = 155
12.5x + 225 - 22.5x = 155
12.5x - 22.5x = 155 - 225
-10x = 155 - 225
-10x = -70
x = [tex]\frac{70}{10}[/tex]
x = 7 children
Now we substitute back into the system of equations:
x + y = 10
7 + y = 10
y = 10 - 7
y = 3 adults
A marketing research firm believes that more than half of adults drink mostly either regular or diet soda. To test this claim, Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda. The test statistics for the above hypthesis test for the proportion of adults who drink mostly either regular or diet soda is:________. (Round your answer to two decimal places)
Answer:
The test statistic is z = -2.82.
Step-by-step explanation:
A marketing research firm believes that more than half of adults drink mostly either regular or diet soda.
This means that the null hypothesis is: [tex]H_{0} = 0.5[/tex]
The alternate hypothesis is: [tex]H_{a} > 0.5[/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.
0.5 tested at the null hypothesis:
This means that:
[tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda.
This means that [tex]n = 2027, X = \frac{950}{2027} = 0.4687[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.4687 - 0.5}{\frac{0.5}{\sqrt{2027}}}[/tex]
[tex]z = -2.82[/tex]
The test statistic is z = -2.82.
Please help due soon.
Sailors once used a unit of length called a fathom to measure the depth of the water. Each fathom is equal to 6 feet. Which equation represents the relationship between x, the depth of water in fathoms, and y, the depth of the water in feet?
Answer:
Y=x*(6 feet/ 1 fathom)
Step-by-step explanation:
Can someone help me? I’ll reward points + brainalist
Answer:
C
it's the set that will add to 180°
36° + 42° + 102° = 180°
Answer:
C. 36°, 42° and 102°Step-by-step explanation:
This is because here,
36° + 42° + 102° = 180°
Hence, a triangle can be made.
A study was conducted to investigate the effectiveness of a new aspirin-derivative in reducing pain. Results for randomly selected subjects are presented in the Assignment # 8 Excel worksheet. A lower score indicates less pain. The "before" value is matched to an "after" value and the differences are calculated ( on your excel worksheet ) . The differences have a normal distribution. Are the pain-reduction measurements, on average, lower after taking the new aspirin-derivative ? Test at a 1 % significance level.
PLEASE HELP ITS URGENT DONT GUESS (also if you get it right ill mark you as brainliest)
Answer:
551 ft
Step-by-step explanation:
i pretty sure thats it sorry if its wrong
On a survey, 7 students reported how many minutes it takes them to travel to school. Here are their responses.
8,5,3,15,6,16,5
Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.
Answer:
8
Step-by-step explanation:
The mean of the minutes reported is 8. The mean is the average, or the sum of the data divided by the total number of data.
5x-2y=44 and x=-4y solve for x
Answer:
I believe x is 8
What is the domain and range as an inequality and if you could explain how you got it that would be great
Answer:
As per the graph, the function starts at point (0, -2) point it self not included.
The graph is extended down and right, so the given point is maximum of the function.
The domain:
x > 0 or x = (0, +∞)The range:
y < -2 or (- ∞, -2)Range
Set of y values
(-oo,-2)As -2 is not included (open dot)
Domain
Set of x values
(0,oo)0 is not included (open dot)
A recipe requires 1 cup of flour for every batch of cookies. How many full batches of cookies can be
made with 52 cups of flour?
A help desk has two employees with one working during the day and one working at night. The number of hours the first employee works (X1) is normally distributed with mean 8.6 and standard deviation 0.1 and the number of hours the second employee works (X2) is normally distributed with mean 8.4 and standard deviation 0.9. Suppose that the amount of time that the employees overlap (X3) is normally distributed with mean 0.2 and standard deviation 0.2. Finally, assume that X1, X2, and X3 are independent. We are interested in the total time that the help desk has an employee present, i.e., Z = X1 + X2 - X3. A) What is the expected value of Z, the total time that the help desk has an employee present? B) What is the variance of Z? C) What is the probability that Z is between 15.9 and 16.1? D) What is the probability that Z is greater than 16?
Answer:
a) 16.8 hours.
b) 0.86 hours squared.
c) 0.0606 = 6.06% probability that Z is between 15.9 and 16.1.
d) 0.8051 = 80.51% probability that Z is greater than 16
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.
Sum of normal variables:
When we add normal variables, the mean is the sum of each mean, while the variance is the sum of each variance. The standard deviation is the squared root of the variance.
In this question:
X1: Mean 8.6, standard deviation 0.1
X2: Mean 8.4, standard deviation 0.9
X3: Mean 0.2, standard deviation 0.2
Z = X1 + X2 - X3.
Mean:
[tex]\mu = 8.6 + 8.4 - 0.2 = 16.8[/tex]
Variance:
[tex]\sigma^{2} = 0.1^2 + 0.9^2 + 0.2^2 = 0.86[/tex]
Standard deviation:
[tex]\sigma = \sqrt{\sigma^{2}} = \sqrt{0.86} = 0.9274[/tex]
A) What is the expected value of Z, the total time that the help desk has an employee present?
[tex]\mu = 16.8[/tex]
So 16.8 hours.
B) What is the variance of Z?
[tex]\sigma = 0.86[/tex]
So 0.86 hours squared.
C) What is the probability that Z is between 15.9 and 16.1?
This is the pvalue of Z when X = 16.1 subtracted by the pvalue of Z when X = 15.9. So
X = 16.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16.1 - 16.8}{0.9274}[/tex]
[tex]Z = -0.75[/tex]
[tex]Z = -0.75[/tex] has a pvalue of 0.2266
X = 15.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.9 - 16.8}{0.9274}[/tex]
[tex]Z = -0.97[/tex]
[tex]Z = -0.97[/tex] has a pvalue of 0.1660
0.2266 - 0.1660 = 0.0606
0.0606 = 6.06% probability that Z is between 15.9 and 16.1.
D) What is the probability that Z is greater than 16?
This is 1 subtracted by the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 16.8}{0.9274}[/tex]
[tex]Z = -0.86[/tex]
[tex]Z = -0.86[/tex] has a pvalue of 0.1949
1 - 0.1949 = 0.8051
0.8051 = 80.51% probability that Z is greater than 16
Pls help i really need this
Answer:
5/7
Step-by-step explanation:
take the basic fact 5 - 3
Answer:
5/7
Step-by-step explanation:
3/7+2/7=5/7
5/7-3/7=2/7
all muntiple of 5 is an odd number true proposition?
a of 5 is 2.5 b of 5 is 2.5 although 5+5=10 = 2.5×4 =10 (even) x of 5 is odd and y of 5 is even
Therefore, its false;)
Maria tests the effectiveness of an anti-depression drug by recruiting 500 participants and randomly assigning half e participants to take Drug A for 1 month and the other half to take a placebo for 1 month. At the end of the month, depression levels are recorded. Overall, participants who received Drug A had depression scores of M-32.12, SD- 10.58 and those you received the placebo had depression scores of M- 34.29. SD 11.10, t(498) 2.17,p .01 (one tailed], d19. Faced with these data, Maria needs to write a report in which she interprets the data. Which of the following is the best summary of these data?
A. The p value is very small, showing that there is only a 1% chance of a Type l error. we can be 99% confident that the drug significantly reduces depression.
B. The results of the t-test are significant, but the effect size is small. This study should be replicated with a larger sample size to increase statistical power.
C. The results of the t-test are significant, but the effect size is small. The drug does lower depression, but it is not clear if the reduction is enough to warrant use of the drug.
D. The small p value and the small effect size suggest that the observed difference between the drug adplacebo groups are likely to be due to sampling error. This study should be replicated with a larger sample size.
Answer:
D. The small p value and the small effect size suggest that the observed difference between the drug placebo groups are likely to be due to sampling error. This study should be replicated with a larger sample size.
Step-by-step explanation:
The p value is determined for any test before making a conclusion. If the p-value is smaller than critical value then we reject the null hypothesis which means that drug is not effective for the reducing depression. A very small p-value usually lesser than 0.05 indicates strong evidence against the null hypothesis.
A rocket is launched from a tower. The height of the rocket, y in feet, is rel
time after launch, x in seconds, by the given equation. Using this equation
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x² + 147x + 80
9514 1404 393
Answer:
9.70 seconds
Step-by-step explanation:
The zero of the equation can be found using the quadratic formula.
ax² +bx +c = 0
x = (-b ±√(b² -4ac))/(2a)
We are only interested in the positive value of x, so this will be ...
x = (-147 -√(147² -4(-16)(80)))/(2(-16)) = (147 +√2679)/32
x ≈ 9.7028 ≈ 9.70 . . . . seconds
The rocket will hit the ground after about 9.70 seconds.
5. The vertices of a parallelogram on a cartesian plane are as follows; (1,4),
(2, 2), (6,3), and (5,5). Find the measure of the longest diagonal.
Answer:
idontknow
Step-by-step explanation:
Answer:
first you need to understand what is a diagonal then if you understand them you can use the opposite coordinates to calculate the diagonals using the distance formula for example [tex] [/tex][tex]d = \sqrt{(x - x) { }^{2} } + \sqrt{(y} - y) {?}^{2} [/tex]then after that you will subtitute the for x of opposite vertices same for y make sure if you get an answer you take a positive square root if i a rootNO LINK I WILL MARK BRAINLIEST
Answer:
13.5
Step-by-step explanation:
X > -3
A.0
B. -8
C. -4
D. -5
F. - 1
Answer:
A and F are both correct
Step-by-step explanation:
0 and -1 are both greater than -3
someone help me with math :):
Which of the following is not an integer?
1. 0
2. 1\2
3. 9
4. -13
what number? 1,2,3, or 4?
you are sitting on the edge of a pool with your legs in the water .as light waves pass from the pool into the air it look like your legs are not attached at the knees where they meet the water.this is because when they pass from one medium to another
Answer: The reason they do this is water refraction. I don't know if this was a question or not, but here you go.
Could someone help??
Simplify. −64−−−−√
Choices
−8
8i
8
−8i
Answer:
where did you intend to write the radical?
Find ONLY the measure of angle A (just the number): *
20 points
Answer:
360 - 169 equals 191
Step-by-step explanation:
191
Which pairs of numbers are opposites? Check all that
apply.
0-6 and -6
0-2 and 2
4 and 4
O 8 and -8
10 and 0
Ur welcome
Answer:
–2 and 2 8 and –8 Which pairs of numbers are opposites? Check all that apply.
–6 and –6
–2 and 2
4 and 4
8 and –8
10 and 0
Step-by-step explanation:
Anthony needs some kitchen
appliances He found a mixer
for $90 and a microwave for
$42 What is the total bill
after adding 8% sales tax?
Need help ASAP QUESTION 13
Answer:
maybe this can help........... wait is it a time quiz
Step-by-step explanation:
A line has a slope of 2/3 and passes through the point (6,11)
Answer:
y=2/3x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-11=2/3(x-6)
y=2/3x-12/3+11
y=2/3x-4+11
y=2/3x+7
Thirty eight years ago George was 14. how old is he now
Answer:
I believe you need to add 38 and 14 together to get answer of 52 years old.
28,490 - 478.29 solve
Answer:
28,011.71
Step-by-step explanation:
Anyone know how solve it
Answer:
nope sorry :( maybe some one else can help u
Step-by-step explanation:
sorryyy
ABCDE~GHJDF. complete the statements
i figured out a. is angle B but i cant figure out statement 2 pls help!!!!
Answer:
DC
Step-by-step explanation:
If you consider that we're looking at the same shape at two different scales, then we can simply look at which sides correlate with one another.
In the smaller shape, GH is in the same place as AB in the bigger one.
Similarly, the smaller shape has DJ in the same place that the larger one has DC. This means that dC is the answer to question b.