Answer:
We conclude that the mean age of average viewer has changed
Step-by-step explanation:
H0 : μ = 43
H1 : μ > 43
The test statistic :
(xbar - μ) ÷ σ/sqrt(n)
Sample size, n = 100
xbar = 45 ; σ = 5
Test statistic :
(45 - 43) ÷ 5/sqrt(100)
2 ÷ 0.5 = 4
The Pvalue :
P(Z < 4) = 0.000032
Pvalue < α
0.000032 < 0.05 ; Hence, we reject the Null
We conclude that the mean age of average viewer has changed
Solve the system: 35x=3y+5 49x=4y+9
PLEASE HELP NEED ASAP
Answer:
x = 1
y =10
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST!
Answer: I believe it is 108 good luck girl
Help if you can -
8 commercials in 15 minutes
Find Unit Rate
Plzz show work!
Also, dont add any type of links
Thanks!! :D
Answer:
1.875 commercials a minute
Step-by-step explanation:
5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?
Answer:
40 children went on the cruise.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of adults on the cruise
y is the number of children on the cruise.
57 tickets were sold:
This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]
Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.
This means that:
[tex]22x + 10y = 774[/tex]
Since [tex]x = 57 - y[/tex]
[tex]22(57 - y) + 10y = 774[/tex]
[tex]1254 - 22y + 10y = 774[/tex]
[tex]12y = 480[/tex]
[tex]y = \frac{480}{12}[/tex]
[tex]y = 40[/tex]
40 children went on the cruise.
please help me with this question!!
“Steven's mother asked him to buy 750 grams of sugar. At the supermarket, he finds that the sugar packages give the weight in kilograms. What is the amount of sugar in kilograms that Steven needs to buy?”. i DO NOT know the answer. it would be so awesome if someone could help.
Answer:
0.75
Step-by-step explanation:
there is 1000 grams in 1 kilogram so I divided 750 by 1000 to get 0.75.
I am giving 25 points! You don't have to answer the question :D
Sarah is going from home to school then to the library to study and finally to the part to meet with friends before going home. Find the distance Sarah will travel today based on the locations of each stop on the coordinate plane. Include:
Distances between all 4 locations
Total distance
Method used for each calculation
Sarah’s house (2,-5)
School (2,4)
Library (-3,4)
Park (-3,-5)
Answer:
thanks i guess
Step-by-step explanation:
Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
Answer: A=48
Step-by-step explanation:
Which of the statements is false about the additive identity?
A. if y is the additive identity, then x+y=x
B. the value of the additive identity is 0
C. Adding the additive identity corresponds to making no movements at all on the number line
D. it is the number you add to another number to get 0
What fractions Equivalent to 1/2
Answer:
2/4 3/6
Step-by-step explanation:
any fraction where the numerator is half of the Denominator
HELPPPPPP PLZZZ, find the height of the figure below with the given volume.
Vincent gathered groups of 1 to 8 people and gave every group the same positive salt. He recorded the number of minutes it took each you to solve the puzzle in Porter resort. What is the best description of this relationship
Answer:
Larger groups take less time
Step-by-step explanation:
Find the area please..........................................
Answer:
Should be 216
Step-by-step explanation:
Eric is studying two number patterns. Pattern A starts at 0 and has the rule "add 6." Pattern B starts at 0 and has the rule "add 3." What is the relationship between corresponding terms in the two patterns?
The terms in Pattern B are 3 times the corresponding terms in Pattern A.
The terms in Pattern B are 2 times the corresponding terms in Pattern A.
The terms in Pattern B are one third the corresponding terms in Pattern A.
The terms in Pattern B are one half the corresponding terms in Pattern A.
Answer:
D) The terms in Pattern B are one half the corresponding terms in Pattern A.
Step-by-step explanation:
Pattern A | Pattern B
0 divided by 1/2 = 0
6 divided by 1/2 = 3
12 divided by 1/2 = 6
18 divided by 1/2 = 9
24 divided by 1/2 = 12
Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?
A. (x, y) ---> (x, -y)
B. (x, y) ---> (x, y + 8)
C. (x, y) ---> (-y, x)
D. (x, y) ---> (-x, y)
Answer: ITS (A) (x, y) → (x, −y)
Step-by-step explanation:
If one loaf of bread requires 450g of flour determine the maximum number of loaves of bread that can be baked from 12,5kg of flour
simplify (a-4b)(a-2b)
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size
Answer:
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
A randomly selected group of 40 members
This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]
What is the probability of having a sample mean of 115.8 or less for a random sample of this size?
This is the pvalue of Z when X = 115.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Need answer quick please
In line 3, it will be 7x to the power 2 not 4.
So, the answer will be
[tex]{7x}^{2} + 2x - 1[/tex]
What is the lateral area of the cone?
can u plz help me!? i need help
the answer is 4 buses
Step-by-step explanation:
because you multiply 30 times 4 and it gives you you the right answers
A 6 inch personal pizza has 620 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
9514 1404 393
Answer:
310 calories (120 from fat)
Step-by-step explanation:
A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...
(1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answer:
22.4
Step-by-step explanation:
delta math
Answer:22.4
Step-by-step explanation:
You go to the quad on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air? Round your answer to the nearest tenth. Show your work!.
Answer:
23.51m is the height
Step-by-step explanation:
the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51
Six pounds of strawberries cost $11.94. Determine the unit rate and use it to find the price of eight pounds of strawberries.
Answer:
The unit rate is $1.99. The price of eight pounds of strawberry $15.92.
Step-by-step explanation:
To find the unit price, you divide $11.94 by 6 and you get $1.99. For eight pounds, multiply $1.99 with 8 and you get $15.92.
Answer:
$15.92
Step-by-step explanation:
First find the price of one pound. 11.94÷6=1.99 Once you find the price of 1 pound. You multiply the price of one pound 8 times. 1.99×8=15.92 Hope it helps!
Please help! 20 points
The results of a study revealed a sample proportion of 0.43 for a sample with 78 respondents. What is the 99% confidence interval for this situation?
A.
37.39% and 48.61%
B.
33.75% and 52.25%
C.
32.01% and 53.99%
D.
28.54% and 57.46%
Answer:
i think it is b I hope it is right
Answer:
D. 28.54% and 57.46%
Step-by-step explanation:
Plato
10 POINTS!!!! Which polynomial represents the sum below ?
The answer is in option B.
Answer:
The right answer to this question is B
Which situation results in a final value of zero
Answer:
Step-by-step explanation:
The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in the speech club All students in each grade Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points) a All teachers in the school b All boys in each grade c All students in the speech club d All students in each grade
Answer:
D, all the students in each grade
Step-by-step explanation:
Since the teacher wants to find out the opinion of the the entire school, they should take a random sample from each grade because it is representative of the population they want to sample. If it was just boys, it would exclude the girls, and vice versa for the girls. The teachers aren’t part of the population the teacher wants to survey, so the teacher shouldn’t survey them. Thus, that leaves the random sample from each grade.
4 tran ra To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail m with 20 oz of nuts? Show your work. OLUTION metale to make bronz bronz
For starters I am not 100% sure of if this is correct I may not understand the quest so bare with me
Answer:
Cherry Trail Mix
Step-by-step explanation:
4 oz of nuts for every 3 oz of dried cherries
5 oz of nuts for every 2 oz of sunflower seeds
- Multpy the amount of nuts in each bag to 20 - Cherry Trail Mix: 4*5=20
Sunflower Trail Mix: 5*4=20
- Now multiply the amount of dried cherries and sunflower seeds by the number used to get to 20
Cherry Trail Mix: 3*5= 15 Sunflower Trail Mix: 2*4=8
- Now add up the amount of oz in each
Cherry: 20+15=35
Sunflower: 20+8=28
35oz > 28oz
2. Use the distributive property to write an expression that is equivalent to 12 + 4x.
Answer:
4(x+3)
Step-by-step explanation:
So with the distrubutive property, you look at the numbers you have, and then take the greatest common factor between the two.
So lets think about it, what goes into both 12 and 4?
2 does, but is that the greatest common factor? No.
What about 4? That goes into 12 and 4. Is it the greatest common factor? Yup it is.
So, what do we get when we take 4 from 4x? We get 1x, or just x.
How about 12? Well, when we take 4 from 12, we get 3.
Now, lets take the common greatest factor, and our two new numbers and put them back into the expression.
Remember that the greatest common factor, the one you took from the other numbers, is what goes first:
4()
Remember to put the parethese there, or else you would only be multiplying the first number by 4, and not the second.
Next lets put the other numbers in. In most expressions, you should put the x number in first, and the normal number in second. So it should now be:
4(x+3)
This is your expression.
Hope this helps! ;)
9514 1404 393
Answer:
4(3 +x)
Step-by-step explanation:
The greatest common factor is 4, so any divisor of that can be factored out:
12 +4x = 2(6 +2x) = 4(3 +x)