Answer:
c
Step-by-step explanation:
because all the x values in c are different
Solve the Equation
P + 75 = 100.
Answer:
P= 25 so
25+75= 100
Step-by-step explanation:
100-75
Answer:
P=25
Step-by-step explanation:
P+75=100
-75 -75
_________
P=25
The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to
Answer:
10 ; 3.464 ; 2.4 ; (7.6, 12.4)
Step-by-step explanation:
Given the data :
10, 8, 12, 15, 13, 11, 6, 5
Point estimate of population mean :
m = ΣX / n
n = sample size = 8
(10+8+12+15+13+11+6+5) / 8
= 10
Point estimate of population standard deviation :
Sqrt(Σ(X - m)^2 / n-1)
((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7
= sqrt(84/7)
= 3.464
Margin of error at 95%:
Zcritical * sqrt(sd²/n)
Zcritical at 95% = 1.96
1.96 * sqrt(3.464^2 / 8)
Margin of Error = 2.4
Confidence interval :
m ± Z(s/sqrt(n))
10 - 1.96(3.4634/sqrt(8)) = 7.6
10 - 1.96(3.4634/sqrt(8)) = 12.4
Write an algebraic expression. The product of two numbers is 94, and one of the numbers is n. What is the other number?
Answer:
Let say the another number y
N×Y=94
Y=94/N
So the algebric expression is 94/N
Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use
Answer:
The kind of hypothesis testing we can use is z-test for means
Step-by-step explanation:
Given that;
sample mean x" = 500
standard deviation σ = 100
sample size n = 6
What kind of hypothesis testing do we use?
There are two cases where z-test can be use;
first, when we know the population standard deviation or variance
and secondly, when the population size is more than 30.
So from the question, the population standard deviation was given, which is 100.
Since we know the S.D, it meets the first condition.
Therefore, The kind of hypothesis testing we can use is z-test for means
please help me, yall :))))
Find the vertex of the parabola defined by the following equation. 3x^2-12x+11
Answer:
y= 3(x-2)^2-1
Step-by-step explanation:
Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake?
Answer:
A lot
Step-by-step explanation:
Why am I baking cakes. I SUCK.
There are 12 ounces of sugar will he need in his smaller cake.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.
Let the amount of sugar will he need in his smaller cake = x
So, By definition of proportion, we get;
⇒ Amount of Butter / Amount of Sugar
⇒ 8 / 16 = 6 / x
⇒ x = 6 × 16 / 8
⇒ x = 12 ounces
Learn more about the proportion visit:
https://brainly.com/question/1496357
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Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost
Answer:
.33 cents
Step-by-step explanation:
Can someone help me Write an equation for this graph?
Answer:
y = (2/3)x - 1
Step-by-step explanation:
y = mx + b
m = (y₂ - y₁) ÷ (x₂ - x₁)
m = (1 - (-1)) ÷ (3 - 0)
m = 2 ÷ 3
m = 2/3
Insert slope and one of the points. I'm using (0, -1).
Solve for b.
-1 = (2/3)0 + b
-1 = 0 + b
-1 = b
∴ y = (2/3)x - 1
Determine which choice best shows the distributive property of multiplication.
Question 2 options:
1 × 6 = 6
6 × 9 = 9 × 6
6 × (9 + 8) = (6 × 9) + (6 × 8)
6 × (9 × 8) = (6 × 9) × 8
Answer:
c) 6× (9+8) = (6 × 9) + (6× 8)
Step-by-step explanation:
Distributive property of multiplication
The distributive property of multiplication
a(b+c) = a b + a c
(a+b)c = ac + bc
6× (9+8) = (6× 9) + (6×8)
PLEASE HELP I NEED HELP WITH AN ALGEBRA 2 QUESTION ILL GIVE BRAINLEST
Answer:
the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2
Step-by-step explanation:
all possible factors:
±3/2, ±1/2, ±3, ±1
2x³ + 3x² - 8x + 3
let '2' = p and let '3' = q
factors of 'p' are 1 and 2
let '3' = q
factors of 'q' are 1 and 3
possible factors are q/p
Max walks 10 meters in 4 seconds what is his walking rate in meters per second
Answer:
2.5 m/s
Step-by-step explanation:
10/4 gets the answer. it is just distance over time
Answer: 2.5 m/s
Step-by-step explanation:
10. Find the rate of change in the table below.
Show all work.
х
18
20
22
24
y
4.5
5
5.5
6
Answer:
it's times 4 every time
Step-by-step explanation:
4.5 times 4 is 18 etc
What accounted for the high mortality rate of the French Army in Russia?
Answer:the lost the war
Step-by-step explanation:
Corey need a 24 boards that are 47 1/2 inches long
A. How many feet a boards should he buy? Explains.
B. if you can only buy 8-fot boards, how many should he buy? explain
Answer:
Step-by-step explanation:
1 foot = 12 inches
47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet
24 boards × ((47.5/12) feet)/board = 95 feet
:::::
(8 feet)/board × (12 inches)/foot = (96 inches)/board
96/47.5 = 2 remainder 1
An 8-foot board provides two 47.5" boards, with an inch wasted.
He needs to buy 12 of the 8-foot boards.
A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A
Answer:
Yes
Step-by-step explanation:
Given that :
CHAIN A:
Sample size n1 = 30
Sample standard deviation of waiting time s1 = 21.2
CHAIN B:
Sample size, n2 = 28
Sample standard deviation of waiting time s2 = 31.4
Null hypothesis H0: s1 = s2
Alternative hypothesis H1: s1 < s2
Test statistic ; Ftest : s1² / s2²
Ftest = 21.2^2 / 31.4^2
= 0.4558399
P value from F statistic : = 0.02 (using p value calculator)
Since the pval < 0.05
Then we reject the Null ; Chain A waiting time is more consistent
A superball rebounds half the height it drops. A student drops the superball from the top of a building, 176 feet above the ground. How far
above the ground is the ball when it has traveled a distance of 500 feet?
Answer:
62.48 ft.
Step-by-step explanation:
Initial height: 50 ft.
First rebound: 10 ft.
Second rebound: 2 ft.
Third rebound: 0.4 ft.
Fourth rebound: 0.08 ft.
If we approximate the fourth rebound to zero, we'll have:
50 + 10 + 2 + 0.4 + 0.08 = 62.48 ft.
The equation 3x + 2 = 29 is modeled below.
Which is the first step in solving the equation for x?
Answer:
Subtract 2 from both sides.
Step-by-step explanation:
Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
> Also, note the equal sign, what you do to one side, you do to the other side of the equation.
First step is to subtract 2 from both sides of the equation:
3x + 2 (-2) = 29 (-2)
3x = 29 - 2
3x = 27
The second step is to divide 3 from both sides of the equation:
(3x)/3 = (27)/3
x = 27/3
x = 9
~
Answer:
The first step is subtracting the two on both sides.
Step-by-step explanation:
You arent exactly following PEMDAS in this equation, but you are still in a way. Before going on to x you need to go on to the numbers first. 3x would be equal to 27.
Discussion Prompt: A fair coin is tossed twice and the number of heads is recorded. Jose says the P(1 head) = 1/2, while Jeff students says P(1 head) = 1/3. Explain in detail why Jose is correct.
Let H represent heads and T represent tails.
Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.
We have these four possible outcomes when flipping two coins
HHHTTHTTOf those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.
Select all the correct answers.
Janine needs to calculate the value of log , 81
Which expressions could she input into her calculator to find this value?
In 81
12
✓
in 81
In 12
log 81
log 12
log 81
In 12
log 12
log 81
Answer:
In 81 / In 12 ;
log 81 / log 12
Step-by-step explanation:
Log 12 81
Log 81 base 12
According to rule of logarithm :
Log 81 base 12 = (log 81 base 10) / log 12 base 10)
Obtaining the value :
(log 81 base 10) / log 12 base 10) = 1.7684564
Using trial and error method :
log 81 / In 12 = 0.7680308
In 81 / In 12 = 1.7684564
In 81 / 12 = 0.3662040
Hence, the correct answers are :
In 81 / In 12
log 81 / log 12
HELP PLEASE IM BEGGING PLEASE PLEASE PLEASE
Answer:
h - 18 = 67
Step-by-step explanation:
If h is her height, then her height minus 18 is 67, or h - 18 = 67
Answer:
67 = h - 18
Step-by-step explanation:
Sry I meant h-18 = 67
Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1
Answer:
Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Step-by-step explanation:
We need to use the quadratic formula to find the solutions for
[tex]y = 3x^2 + 8x - 1[/tex]
(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)
The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1
Putting values in the formula and finding solutions:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]
So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Please answer quickly Thank You
Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.
Select the correct answer.
de.
Currently there are 691,255 trees in a national forest. A park ranger discovered that an
untreatable disease is killing the trees at a rate of 1.5% every year.
Let t represent the number of years after the current date. Determine the inequality that can be
used to model when there will be no more than 621,859 trees, and then solve the inequality for t.
CHECK ATTACHMENT FOR OPTIONS
Answer:
691,255(0.985)t ≤ 621,859; t ≥ 7
Step-by-step explanation:
i just did it. it was C
Answer:
Yes it is corect,
C
Step-by-step explanation:
What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!
0.83Answer:
Step-by-step explanation:
83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83
Answer:
.83
Step-by-step explanation:
to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:
.83
hope this helps!!
Recall the Spice Girls Emporium example. A list of useful information is given below. n = 36 The sample mean income is $41,100 The population standard deviation is estimated to be $4,500 What if we wanted to change our level of confidence to be 99%? What would our new margin of error be? Your answer should be given as an integer.
Answer: Margin of error = 1932
Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.
Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]
z is z-score related to the percentage of confidence, in this z = 2.576
σ is population standard deviation
n is how many individuals are there in the sample or population
With a new level of confidence of 99%:
ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]
ME = 2.576(750)
ME = 1932
The new margin of error would be 1932.
Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?
Answer:
a $7 tip is too little
Step-by-step explanation:
John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth
If the data below were represented by a comparative bar chart, the bar
representing which of these would be the tallest?
A. Left-handed girls
B. Right-handed boys
C. Right-handed girls
D. Left-handed boys
Answer:
b right handed boys
Step-by-step explanation:
Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.
Answer:
100 = 2x + 4y
Step-by-step explanation:
