Answer:
19
Step-by-step explanation:
given that 8 + m = 27
we need to find m
we can do this by isolating the variable using inverse operations
8 + m = 27
we want to get rid of the 8 in 8 + m
The opposite of addition is subtraction
So we want to subtract by 8 but remember what ever we do to one side we want to do to the other side
So we subtract 8 from each side
8 - 8 cancels out
27 - 8 = 19
we're left with m = 19
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
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.
On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval
Answer:
Option c (I cannot........Florida) is the appropriate response.
Step-by-step explanation:
The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.
Throughout New Jersey, the Federative Recruitment agency informs you of the average wage of mathematics in high schools.Unless you're in Florida and therefore don't know concerning Dale County Florida wages, this same work you've been given is well beyond the area whereby you know the compensation of teachers or instructors, you can't make any view.The other three given alternatives aren't related to the question. Thus option c is the correct one.
simplify (a-4b)(a-2b)
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:
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
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
Answer:
QUESTION:
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
ANSWER:
This will explain everything to you.
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/comparing-theoretical-to-experimental-probabilites
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
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
You have only quarters and dimes in your pocket. In total, you have 15 coins. The total value of all of these coins is $3.00. How many quarters and how many dimes do you have?
Answer: 10 quarters, 5 dimes.
Explanation:
10 x .25 = 2.50
5 x .10 = .50
2.50 + .50 = 3.00
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:
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
Jefferson purchased a jacket originally
priced $129 on sale for $90.30. What was the
percent of discount?
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.
5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р
Answer:
Step-by-step explanation:
KP²+HP²=KH²
KP²+5²=8²
KP²=64-25=39
KP=√39
A circular patio has a radius of 4 yards. The patio is expanded so that the
radius increases by 2 yards. By how many square yards does the area of the
patio increase?
Answer:
20pi or 62.83
Step-by-step explanation:
when r=4
pi r^2
16pi
when r=6
pi r^2
36pi
36pi-16pi=20pi or 62.83
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
Write an equivalent expression for 6( 4 + 2m) ?
Answer:
QUESTION:
Write an equivalent expression for 6( 4 + 2m) ?
ANSWER:
6(4+2m) = ?
6 X 4 = 24
6 X 2m = 12m
Final answer:
12m + 24
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
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.
What is the height (h) of the prism?
3ft
6ft
Answer:
6ft
Step-by-step explanation:
The height is 6ft, because the 3 foot measurements are the width of the prism.
hi can you please help me with my work
Which are solutions of
x/5= 1/+4?
A. -5 and 1
B. -1 and 5
C. 0 and 5
D. 0 and - 1
E. 2 and 3
Answer:
I think a is correct answer.
Which function is linear?
A) y = x^2 + 4
B) 2y = 4x^2
C) 2y = x + 4
D) x^2=2y
Answer:
A
Step-by-step explanation:
its a
Answer:
C) 2y = x + 4
Step-by-step explanation:
all other functions include x²
Dr. Seals borrows $15,000 to remodel her backyard. The interest rate is 3%. The interest is compounded twice a year for two years.
Answer:
what is the question?
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
Find the area of the white region in the diagram shown.
Answer:
Option 4
Step-by-step explanation:
Area of shaded region = Area of the circle - Area of the shaded triangles
Area of the circle = πr²
r = Radius of the circle
Therefore, area of the circle = π(4)²
= 16π
Area of the given triangles = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]
= Base × Height
= (4 × 4)
= 16
Area of the shaded region = 16π - 16
Option 4 will be the correct option.
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]
Find the equation of the line shown. Enter yoir answwr in slope intercept form
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna
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
HELP! I’ll mark you brainliest! Find the area of the irregular figure.
Answer:
[tex] 177 \: cm^2 [/tex]
Step-by-step explanation:
Area of the irregular figure = Area of rectangle with dimensions 15 cm & 10 cm + Area of rectangle with dimensions (15-6-6=3) 3 cm and 2 cm + Area of triangle with base ( 2 + 2 + 3 = 7) 7 cm and height (18 - 10 - 2 = 6) 6 cm
[tex] = 15 \times 10 + 3 \times 2 + \frac{1}{2} \times 7 \times 6 \\ \\ = 150 + 6 + 21 \\ \\ = 177 \: {cm}^{2} [/tex]
How do you write 5.09 104 in standard form?
