Answer:
Step-by-step explanation:
(a).
Multiples of 4 are {4, 8, 12, 16, 20, 24, 28, ..... }
Multiples of 6 are {6, 12, 18, 24, 30, ..... }
12 and 24
(b).
Multiples of 6 are {6, 12, 18, 24, 30, 36, 42, ..... }
Multiples of 9 are {9, 18, 27, 36, 45, ..... }
18 and 36
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2601 with a mean life of 1191 minutes. If the claim is true, in a sample of 167 batteries, what is the probability that the mean battery life would differ from the population mean by less than 3.5 minutes?
Answer:
i do not know i will try .
What is (4-5y) - (2y-16)
Answer:
4 - 5y - 2y + 16
like terms
20 - 7y
Answer:
4-5y)-(2y-16)=0
Step-by-step explanation:We add all the numbers together, and all the variables
(-5y+4)-(2y-16)=0
We get rid of parentheses
-5y-2y+4+16=0
We add all the numbers together, and all the variables
-7y+20=0
We move all terms containing y to the left, all other terms to the right
-7y=-20
y=-20/-7
y=2+6/7
help pls
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Answer:
Step-by-step explanation:
You have 60 ft of fence to make a rectangular vegetable garden alongside the wall of your house. The wall of the house bounds one side of the vegetable garden. What is the largest possible area of the vegetable garden?
Answer:
400 ft²
Step-by-step explanation:
The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²
The graph represents f(x) = |x| + 3.
what is f(-2, 2)?
A) -2
B) 0
C) 1
D) 2
Bella is learning to type. She typed a letter to her teacher but misspelled 8 words. If she misspelled 25% of the words she typed. how many words did she type in her letter I'm taking a test I need this ASAP
Answer:
She typed 32 words in her letter
Step-by-step explanation:
Assume that the letter has x words
∵ She typed x words in her letter
∵ She misspelled 8 words
∵ She misspelled 25% of the words she typed
∴ She misspelled 25% of x
→ That means 8 is equivalent to 25% of x
∴ 25% of x = 8
∴ 25% × x = 8
→ Change 25% to decimal by divide it by 100
∵ 25% = 25 ÷ 100 = 0.25
∴ 0.25 × x = 8
∴ 0.25x = 8
→ Divide both sides by 0.25
∵ [tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{8}{0.25}[/tex]
∴ x = 32
∵ x represents the number of words that she typed in the letter
∴ She typed 32 words in her letter
You have a ribbon that is 7 1/2 inches long you use 1/2 of it on a project how many inches of ribbon are left
What is the value of the expression 3/19 7/2
Answer:
It is 2/15
Step-by-step explanation:
[tex]\frac{3}{19\frac{7}{2} } =\frac{3}{\frac{45}{2} }\\=\frac{2}{15}[/tex]
Dont know if this helps but here you go :)
The life expectancy (M) in the United States is 85 with a standard deviation of 6 years. A random sample of 36 individuals is selected. What is the probability that the sample mean will be between 82.5 and 86 years?
Answer:
The probability that the sample mean will be between 82.5 and 86 years is 0.8351.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is:
[tex]\mu=85\\\sigma=6\\n=36[/tex]
As the sample size is large enough the Central Limit Theorem can be used to approximate the sampling distribution of sample mean life expectancy (M) in the United States.
Compute the probability that the sample mean will be between 82.5 and 86 years as follows:
[tex]P(82.5<\bar X<86)=P(\frac{82.5-85}{6/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{86-85}{6/\sqrt{36}})\\\\=P(-2.5<Z<1)\\\\=P(Z<1)-P(Z<-2.5)\\\\=0.84134-0.00621\\\\=0.83513\\\\\approx 0.8351[/tex]
Thus, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.
The probability that the sample mean will be between 82.5 and 86 years is 0.8351.
Standard deviation σ = 6
Sample size n =36
What is the central limit theorem?The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.
Since the sample size is significant i.e. large, so the given scenario can be treated as normally distributed as per the central limit theorem.
So, the standard deviation of sample means = σ/√n
The probability that the sample mean will be between 82.5 and 86 years:
[tex]P(82.5 < X < 86) = P(\frac{82.5-85}{\frac{6}{\sqrt{36} } } < Z < \frac{86-85}{\frac{6}{\sqrt{36} } } )[/tex]
[tex]P(-2.5 < Z < 1)=P(Z < 1)-P(Z < 2.5)[/tex]
[tex]P(-2.5 < Z < 1) =0.8413-0.0062=0.8351[/tex]
Therefore, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.
To get more about the central limit theorem visit:
https://brainly.com/question/18403552
Which equation matches the function described in the table?
Answer:
y = 4x - 1
Step-by-step explanation:
Equation y = 4x - 1 matches the function described in the table.
What is the sum of -6 and 12/6
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
multiply -6 with 6 so we can have common denominator as 12/6
that's gives us -36/6+12/6
-36+12 is -24 so our answer up till now will be -24/6.... this can be simplified by 6 to get -4
pls mark this as brainliest!!!!
10. A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the
station every 6 minutes. Suppose it is 6:30 am right now. At what time will both trains leave the
station together?
Answer:
7:00
Step-by-step explanation:
Solve the equations:
2^(3x−4) = −2
Answer:
x=NaN your welcome hehe
BROOO HELP what is the slope of the line through (-3,3) and (-1,-1)?
A. 1/2
B. -1/2
C. -2
D. 2
Answer:
C
Step-by-step explanation:
We are given a line that contains the two points (-3, 3) and (-1, -1) and we want to determine the slope of the line.
To find the slope of a line given any two points, we can consider using the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are the two points.
We have the two points (-3, 3) and (-1, -1).
So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).
Substitute and evaluate:
[tex]\displaystyle\begin{aligned} m&=\frac{(-1)-(3)}{(-1)-(-3)}\\ \\ &= \frac{-1 -3 }{-1 + 3} \\ \\ &= \frac{-4}{2} \\ \\ &= -2\end{aligned}[/tex]
So, the slope of the line is -2.
In conclusion, our answer is C.
Answer:
m=-2
Step-by-step explanation:
Its just -2 I cant explain sorry
PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU! 5.3x - 9 + 7.6x
Answer:
12.9x-9
Step-by-step explanation:
5.3x-9+7.6x
5.3x+7.6x = 12.9x
=12.9x-9
Help
Find the missing segment
Answer:
62
because 14 is twice more than 8
so 24 * 2 = 48
and 48 + 14 = 62
most likely 62
How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as mine is at least 2/3?
Answer:
At least 401 chosen guests
Step-by-step explanation:
Represent those with same birth day with Same
So:
[tex]P(Same) > \frac{2}{3}[/tex]
Represent number of people with n
There are 365 days in a year and 364 days out of these days is not your birthday.
So, there the probability that n people do not share your birthday is [tex](\frac{364}{365})^n[/tex]
i.e.
[tex]P(none) = (\frac{364}{365})^n[/tex]
Solving further, we have that:
[tex]P(same) + P(none) = 1[/tex]
[tex]P(same) + (\frac{364}{365})^n = 1[/tex]
[tex]P(same) = 1 - (\frac{364}{365})^n[/tex]
We're calculating the probability that [tex]P(Same) > \frac{2}{3}[/tex].
So, we have:
[tex]1 - (\frac{364}{365})^n > \frac{2}{3}[/tex]
Collect Like Terms
[tex]1 - \frac{2}{3}> (\frac{364}{365})^n[/tex]
[tex]\frac{3-2}{3}> (\frac{364}{365})^n[/tex]
[tex]\frac{1}{3}> (\frac{364}{365})^n[/tex]
[tex]3^{-1} > (\frac{364}{365})^n[/tex]
Take natural logarithm (ln) of both sides
[tex]ln(3^{-1}) > ln((\frac{364}{365})^n)[/tex]
[tex]-ln\ 3 > n\ ln\ (\frac{364}{365})[/tex]
Apply laws of logarithm
[tex]-ln\ 3 > n\ (ln(364) - ln(365))[/tex]
Multiply through by -1
[tex]ln\ 3 < n\ (ln(365) - ln(364))[/tex]
Solve for n
[tex]\frac{ln\ 3}{(ln(365) - ln(364))} < n[/tex]
Reorder
[tex]n > \frac{ln\ 3}{(ln(365) - ln(364))}[/tex]
[tex]n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}[/tex]
[tex]n> \frac{1.09861228867}{0.00274348594}[/tex]
[tex]n > 400.443928891[/tex]
[tex]n > 400[/tex] (approximated)
This implies that n = 401, 402, 403 .....
i.e
[tex]n \geq 401[/tex]
So, at least 401 people has to be invited
What is the missing value in ___x 1/10=0.27
hey I am working on identify slope and intercept
Answer:
hey hows ur day
Step-by-step explanation:
mins good
Answer:
Ok, so slope is basically the steepness of the line, and intercept is when it crosses the x or y axis.
Step-by-step explanation:
To identify the slope, find two points on the line, then use this equation to find the slope: [tex]\frac{y2 - y1}{x2 - x1}[/tex], where x1 and y1 are the coordinates of the first point on the line, and x2 and y2 are the coordinates of the second point on the line. y2 - y1 is called the rise, and x2 - x1 is called the run. Then, to find the intercept (commonly the y-intercept), you must find the point at which the line crosses the axis. This is the easiest part because you just need to find a point on the axis. When you need to find the y-intercept, look for where the line crosses the x-axis, and when you need to find the x-intercept, look for where the line crosses the y-axis.
A local little league has a total of 66 players, of whom 80 % are right-handed. How many right-handed players are there?
Answer:
The amount of right-handed players is 53
Hope this Helps :)
Can anyone please help with this problem ASAP ?
Answer:
4 would be $55.00 and 8 would be $75.00
0.5 (x4 - 3) + 12
WILL MARK BRAINLEST PLEASEEE HURRYYYYY!!!!!!!!
0.5x^4+10.5 or 12.5 simplified is correct answer. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction.
Combine the constants.
Pls answer this I’m begging you I will give a brainless if you answer correctly and professionally
Answer:
answer big no l
x=-6
y=10
Step-by-step explanation:
answer of 4
x 30
Answer:
Step-by-step explanation:
1) 5x + 4 + 3x - 8 = 180 ( co - interior angles )
8x - 4 = 180
8x = 184
x = 184 / 8
x = 23°
y = 3x - 8 ( vertically opposite angles )
y = 3 × 23 - 8
= 69 - 8
= 61°
4) 5 x + 7 = 2x + 97 ( vertically opposite angles )
5x - 2x = 97 - 7
3x = 90
x = 90 / 3
x = 30°
Hope this helps
plz mark as brainliest!!!!!
There are 20 squares and 16 triangles. What is the simplest ratio of triangles to total shapes?
Answer:
4/9
Step-by-step explanation:
20+16= 36 total shapes. 16/36 simplifys to 4/9.
The simplest ratio of triangles to total shapes is 4:7.
Given that the number of squares=20 and the number of triangles=15.
The total number of shapes=20+15=35.
We need to find the simplest ratio of triangles to total shapes.
What is the ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.
Now, triangles: total shape=20:35
=4:7
Therefore, the simplest ratio of triangles to total shapes is 4:7.
To learn more about the ratios visit:
https://brainly.com/question/13419413.
#SPJ2
Suppose that you have $10,000 to invest. Which investment yields the greater return over 6 years:
5.4% compounded monthly or 5.5% compounded quarterly?
hey anyone bother to help
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Answer:
x=11, y=1 or (11, 1)
Step-by-step explanation:
I used substitution to solve this. Basically wherever there's an x, I would fill it in as 12-y.
2(12-y)+3y=29
24+2y+3y=29
24+5y=29
subtract 24 from both sides
5y=5
divide by 5
y=1
Now substitute y back in to get x.
x=12-1
x=11
You can also graph this into desmos, and wherever they intercept, that's your answer. I hope this helps!
A baker Likes to make cookies. The graph shows a proportional relationship between cups of flour used in numbers of cookies made. What does the point (0,0) represent and what does the point (1,26)represent
Answer:
i cant see the graph if there was a graph with it it would really help lol
Step-by-step explanation:
Answer:
Don't Be mean Online. Be a buddy, Not a Bully
Step-by-step explanation:
A classmate tells you that there are two Fahrenheit temperature that is the same as the Celsius temperature. They tell you it is 50 degrees and -40 degrees. Is your classmate correct or incorrect explain your reasoning.
Answer:
Step-by-step explanation:
the conversion for farenheit to celsius is to subtract 32 and multiply by 5/9.
-40-32 is -72. multiply that by 5/9 and that is -40
50-32 is 18. multiply that by 5/9 and you get 10. so no she's wrong
How do you solve this: 2x(3-a)=a(2-b) to find b?
Answer:
b=-2(3x-xa-a)/a
Step-by-step explanation:
2x(3-a)=a(2-b)
6x-2xa=2a-ab
b=-2(3x-xa-a)/a
You can simplified to top because im a little lazy, sorry
Can anyone answer and offer a simple step by step explanation for finding the volume for this?
Answer:
x^6
Step-by-step explanation:
Volume=w times height times length
Volume=x^2 times x^2 times x^2
x^2+2+2
x^6
Answer:
x^6 is volume
Step-by-step explanation:
So a volume of a cube is lenght times width times height.
Or the cube of a side(number to the power of 3)
Let's say one of the sides is 7. Then the volume would be 7 times 7 times 7 or 7 cubed which is equal to 729.