Answer:
130.81
Step-by-step explanation:
We solve this question using z score formula
z = (x-μ)/σ,
where from the question:
x is the raw score = ?
μ is the population mean = 100
σ is the population standard deviation = 15
We are told in the question that:
Mensa is an international society that has one and only one qualification for membership: a score in the top 2% on an IQ test.
The top 2% means a score in the 98th percentile
The z score of the 98th percentile = 2.054
Hence:
2.054 = x - 100/15
Cross Multiply
2.054 × 15 = x - 100
30.81 = x - 100
x = 30.81 + 100
x = 130.81
The IQ score that one should have in order to be eligible for Mensa is the score of 130.81
A game center has a $5 admission fee in charges $0.50 for each game played. Write an equation that represents the cost, why, in dollars, of playing x games at this game center. (Use the form Y=mx +b)
Answer:
y=0.50x+5
Step-by-step explanation:
Answer:
y = 0.5x + 5
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
HELP URGENT WILL GIVE BRANILY PLEASE ANSWER
When you get home to plant the flowers, you have 3 different flowerbeds in which you plan on planting flowers. You have two flowerbeds where you want the same ratio for tulips to daffodils. In one of these flowerbeds you have 6 tulips and 8 daffodils. The other flowerbed you have 4 daffodils.
How many tulips should there be in the second flowerbed to have the same ratio of tulips and daffodils as the first flower bed?
How many total daffodils are used in these two flowerbeds?
Answer:
3 tulips, 12 daffodils
Step-by-step explanation:
tulips to daffodils= 6:8=3:4
x:4 = 3:4
8+4=12
you need 10 to have the same ratio
there are 24 daffodils in the two flowerbeds
(a) Let p represent the proportion of all supermarket shoppers who always stock up on an item when they find a real bargain. Find a point estimate for p. (Enter a number. Round your answer to four decimal places.)
[tex]Here \ is \ the \ missing \ part.[/tex]
[tex]In \ a \ marketing \ survey, \ a \ random \ sample \ of \ 992 \ supermarket \ \ shoppers \ \ revealed[/tex]
[tex]that \ 274 \ always \ stoc k \ up \ on \ a n \ item \ when \ they \ find \ that \ item \ at \ a \ real \ bargain \ price.[/tex]
Answer:
0.2762
Step-by-step explanation:
The point estimate is the best guess of the true parameter. It is an estimate of a population parameter and it is a single value of statistics.
The sample proportion [tex]\hat p[/tex] is the point estimate of the population proportion p
Given that
The sample mean = 274; &
The sample size = 992
Then,
The point estimate [tex]p = \dfrac{x}{n}[/tex]
[tex]p = \dfrac{274}{992}[/tex]
p = 0.2762
Which equation represents a line having a slop of 5/2 and a y intercept of (0,-4)?
Answer:
A
Step-by-step explanation:
Determine whether each equation represents a linear or nonlinear function.
Equation Linear Non - linear
y = 2x³ + 1 No Yes
y = 3x Yes No
y = x/5 Yes No
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = 2x³ + 1
For x = 1, 2, 3,
y = 2 + 1 = 3
y = 2 x 2³ + 1 = 2 x 8 + 1 = 17
y = 2 x 3³ + 1 = 2 x 27 + 1 = 54 + 1 = 55
The rate of change.
Between 3 and 17 = 17 - 3 = 14
Between 17 and 55= 55 - 17 = 38
This means the equation is not linear.
y = 3x
For x = 1, 2, 3,
y = 3 x 1 = 3
y = 3 x 2 = 6
y = 3 x 3 = 9
The rate of change.
Between 3 and 6 = 6 - 3 = 3
Between 6 and 9 = 9 - 6 = 3
This means the equation is linear.
y = x/5
For x = 1, 2, 3,
y = 1/5
y = 2/5
y = 3/5
The rate of change.
Between 1/5 and 2/5 = 2/5 - 1/5 = 1/5
Between 2/5 and 3/5= 3/5 - 2/5 = 1/5
This means the equation is linear.
Thus,
y = 2x³ + 1 is a linear equation.
y = 3x is not a linear equation.
y = x/5 is a linear equation.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
Find the percent change to the nearest whole percent. from 45 feet to 95 feet.
Answer:
211%
Step-by-step explanation:
To calculate the percentage change between these two numbers we need to divide the end result from the initial starting point. Once we do this we need to multiply the product by 100 to get the percentage value.
95 / 45 = 2.11111
2.11111 * 100 = 211.11%
Finally, we can see that the percentage change from 45 ft. to 95 ft. is 211.11%. If we round this to the nearest whole percent it would be a change of 211%
QUESTION
Two trillion is how much more than seven hundred fifty billion.
Write the answer in scientific notation.
A rope is 7 1/3 feet long. If the rope is cut into 4 equal sized pieces, what is the length of each piece in feet?
Answer:
2 1/3 ft
Step-by-step explanation:
1/4 * 7 1/3 = 1/4 * 28/3 = 7/3
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 10
and DC= 7, what is the length of BC in simplest radical form? (Note: the figure is
not drawn to scale.)
Answer:
3
Step-by-step explanation:
Please help, teacher doesn’t explain anything so i have no idea what i’m doing.
Answer:
5) MN = 17
6) x = 8
7) x = 13
Glad to help you anytime!
Which of the points is on a line with positive slope?
A
(-6, 1) and (-6, 9)
B
(2, 6) and (11, -3)
C
5, 0) and (8, 4)
D
(3, 4) and (-2, 12)
YOU HAVE SAVED $5000 AND INVESTED IT AT A RATE 3.2% FOR 5 YEARS. WRITE AN EXPONENTIAL FUNCTION TO REPRESENT THIS SITUATION. HOW MUCH WILL VOU KAVE AFTER YEARS? HOW MUCH WILL A BILLIONAIRE HAVE IF HE INVESTS $1,000,000,000 AT THE SAME RATE FOR THE SAME AMOUNT OF TIME?
Answer:
5852.86 = 5000 (1+ .032)^5
1170572956 = 1,000,000,000(1+ .032)^5
Step-by-step explanation:
G(h)= -4h -5 Fill in g(3)
Answer:
G(3)=-17
Step-by-step explanation:
G(3)=-4(3)-5
=-12-5
=-17
what are the cordinates at the center of the circle (x-4)2+(y-5)2=36
Answer:
Here I labeled it
Step-by-step explanation:
Answer: Center: (4,0) Radius: 6
Step-by-step explanation:
Rewrite in standard form to find the center
Twice the difference between a number, x, and eighteen is three times the number.
Answer:
2(x-18)=3x
Step-by-step explanation:
hope this helps
PLEASE HELP ME !!!!!!!!!!!!!!!!!!!!
Answer:4104
Step-by-step explanation:I think
Which expressions are equivalent to -f-5(2f-3)?
Answer: - 11f + 15
Step-by-step explanation:
- f - 5(2f - 3)
= - f - 10f + 15
= - 11f + 15
plz add braniliest
Any smart people want to help I stink at math !!
Answer:
I don’t know the answer I just need some points to ask more questions !!! have a good day !!
Step-by-step explanation:
Answer:
Step-by-step explanation:
We know that
The cash cost is $4400.
She pays 10% down
The balance paid in 6
Monthly payment is $676
First , let's find the amount financed:
[tex]A=4400.\frac{90}{100} =3960[/tex]
The number of payments per year (n) are 6.
The time in years is half a year.(6 months)
The installment payment is $676.
The total amount paid is
[tex]676.6=4056[/tex]
Then, we subtract to obtain the finance charge
[tex]4056-3960=96[/tex]
Hence , the answer to (a) is $96, that's the finance charge
b) I need the table for doing that one
PLEASE MARK ME AS BRAINLIEST
At a banquet 216 guests sit at 18 tables. Each table has the same number of guests. How many guests per table?
A. 8 guests per table
B. 12 guests per table
C. 18 guests per table
Could anyone help answer the question in the photo?
Answer:
[tex]n = -3/10[/tex]
Step-by-step explanation:
Given the expression [tex]\frac{\sqrt[5]{b} }{\sqrt[]{b} }[/tex]
[tex]\frac{\sqrt[5]{b} }{\sqrt[]{b} } \\= \frac{b^{1/5}}{b^{1/2}} \\= b^{1/5-1/2}\\= b ^{2-5/10}\\= b^{-3/10}\\Compare \ b^n \ with \ b^{-3/10}\\\\n = -3/10[/tex]
graphing an inequality gives you a visual model of a Solution true or false
Answer:
true ofc
Step-by-step explanation:
please help
Select the correct answer. Which graph represents the solution to this inequality?
ANSWER i think its c Step-by-step explanation:
What are the solution(s) to the quadratic equation 50 – x2 = 0?
O x= +2/5
O x = 16V3
O x= 15/2
O no real solution
While Tina is shopping, she finds a pair of pants she wants to buy that is priced at $35 but is on sale for 60% off. What expression would you
use to find the total Tina will pay for the pair of pants?
Answer:
35x.40=14
Step-by-step explanation:
you multply $35 by .40 because that is the remaining cost from 60%
Which of the following expressions is equivalent to 3 + 3 • 12 ÷ 4 • 3?
1. 3 + 36 ÷ 4 • 3
2. 6 • 12 ÷ 4 • 3
3. 3 + 3 • 12 ÷ 12
4. 3 + 3 • 3 • 3
Answer:
The first one is the correct answer because it has the same value when you solve them.
Answer:
A) 3 + 36 ÷ 4 • 3
Step-by-step explanation:
In order to study the relationship between playing football and traumatic brain injuries, researchers placed accelerometers in the helmets of many high school football teams. Accelerometers measure the amount of hits that boys playing high school football absorb during a season. Suppose the average number of hits absorbed by a helmet during a season was 355 hits with a standard deviation of 80 hits. What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits
Answer:
56.96% probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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.
For a single player:
[tex]\mu = 355, \sigma = 80[/tex]
For the sample mean(of 48 playes).
[tex]n = 48, s = \frac{80}{\sqrt{48}} = 11.547[/tex]
What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits?
This is the pvalue of Z when X = 360 subtracted by the pvalue of Z when X = 340. So
X = 360
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{360 - 355}{11.547}[/tex]
[tex]Z = 0.43[/tex]
[tex]Z = 0.43[/tex] has a pvalue of 0.6664
X = 340
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{340 - 355}{11.547}[/tex]
[tex]Z = -1.30[/tex]
[tex]Z = -1.30[/tex] has a pvalue of 0.0968
0.6664 - 0.0968 = 0.5696
56.96% probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits
1) Which of the following equations has a solution of -4? Choose all that apply.
A) 4(x – 3) = -28
B) 7 = 3x + 11 – 8x + 4x
C) (2x – 16) =-6
D) 19x – 21 + 10 – 15x = -10
E) -17 = - -3(10 — 6x)
Plz help
What is the area of a rectangle that has a length of 1/4 inch and a width of 1/8 inch?
Answer:
1/4 * 1/8 = 1/32 inch
Step-by-step explanation:
1/4 * 1/8 = 1/32inch
(-1/2)•(-1/2)•(-1/2)
Answer:
[tex]-\frac{1}{8\\}[/tex]
Step-by-step explanation:
Break the equation into 2 pieces:
(-1/2)•(-1/2) = 1/4
1/4 • (-1/2) = -1/8
Answer:
-0.125
Step-by-step explanation:
Is the graph increasing, decreasing, or constant? O A. Constant O B. Decreasing O C. Increasing
Answer:
B
Step-by-step explanation:
Look at the line, it goes down, meaning a decrease in numbers.