Answer:
I think the answer would be n = 9/4
The ratio of teachers to students at Priory School is 2:27
What is school's total population if there are 42 staff
Answer:
609
Step-by-step explanation:
ratio of teachers to students at Priory School =2:27
Let X= total number of both the students and the teacher
Ratio of teacher=( 2/29)X
Ratio of student is (27/29 )X
But total number of teacher = 42
2/29 ×X =42
2X= 42×29
2X=1218
X= 609
Hence, school's total population is 609
On a highway, a random sample is taken of the speed, in mph, of 50 cars. A mean speed of 61.8 mph is calculated with a margin of error of +2.3 for a 95% confidence interval What is the interval estimate of the population mean?
A) 58.7 <h<64.9
B)59.5<h<61.8
C)59.5<h<64.1
D)61.8<h<64.1
The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
The interval estimate of the population mean can be found out using the following formula:
[tex]\overline X\pm MOE[/tex]
Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.
On a highway, a random sample is taken of the speed, in mph, of 50 cars.
A mean speed is 61.8 mphThe margin of error is +2.3 The confidence interval is 95%Put the values in the above formula as,
[tex]61.8\pm 2.3\\59.5,641[/tex]
Thus, the interval estimate of the population mean
[tex]59.5 < h < 61.8[/tex]
Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
Learn more about the margin of error here;
https://brainly.com/question/10218601
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No Solutions 2x + 5 + 2x + 3x = One Solution 2x+5+ 2x + 3x = Infinitely Many Solutions 2x + 5 + 2x + 3x =
Answer:
2x+5+2x +3x=7x+5 2x +5+ 2x + 3x = 7x+5
Step-by-step explanation:
1138 in expanded form
Answer:
(see below)
Step-by-step explanation:
To put 1138 in expanded form, you should first know that expanded form is separating a number into its place values. Here's what I'm talking about:
1 in expanded form is 1.
11 in expanded form is (10 + 1).
111 in expanded form is (100 + 10 + 1).
So that means that:
1138 in expanded form is (1000 + 100 + 30 + 8).
Please help me? I’ll give brainliest
Answer:
left 4 up one because the coordinates are -4 , 1
Answer:
the first one (-4, 1)
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ITS EASY BUT IM D U M B
Answer:
I believe the answer is C. Use Desmos and plug in the equation y=-x-2
Step-by-step explanation:
Plz help I’m dumd and I can’t answer it
Answer:
11
Step-by-step explanation:
25% is 0.25 or 1/4
44 x 0.25 =11
- Question 11
Mrs. Pitoya has 30 apples and is buying more apples in crates containing 20 apples each. She needs 130 apples for a harvest celebration at her school,
Which equation and solution correctly represent x, the number of crates of apples Mrs. Pitoya needs to buy?
Answer:
Mrs pitoya has to buy 9 crates of apples
Answer: She only needs to buy 5 more crates of apples.
30 + 20(x) = 130
30-30+20(x)=130-30
20x = 100
x = 5
Step-by-step explanation:
What is the slope of the line that passes through the points (-3, 5) and (1, 15)
f(x) = -4x2 + 10
Find f(-2)
Answer:
f(-2) = -6
Step-by-step explanation:
In the expression, to get f(-2);
we simply substitute the value of x with -2
We have this as;
f(-2) = -4(-2)^2 + 10
f(-2) = -4(4) + 10
f(-2) = -16 + 10
f(-2) = -6
SOMEBODY HELP PLZ IM STUCK
Find the GCF 8x^3-12x^2+4x
Answer:
4x
Step-by-step explanation:
How many cubic meters of water are required to fill a rectangular swimming pool 15m long and 10 m wide which is 2m deep throughout.How many liters is that?
Answer:
300,000 liters
Step-by-step explanation:
Let us have the measurements in cm
100 cm = 1 m
so the measurements are multiplied by 100
we have this as;
1500 by 1000 by 200
The volume is the product of the 3
This is :
1500 * 1000 * 200 = 300,000,000 cm^3
Mathematically, 1 liter = 1000 cm^3
300,000,000 cm^3 will be ;
300,000,000/1000 = 300,000 liters
Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team. Independent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let ˆ p A represent the sample proportion of students at school A who participate on a school athletic team and ˆ p B represent the sample proportion of students at school B who participate on a school athletic team.
What is the mean of the sampling distribution of ˆ p A − ˆ p B ?
Answer:
0.02
Step-by-step explanation:
High schools A :
Percentage of participants in on the school athletic team = 20%
Pa = 20% = 0.2
High school B:
Percentage of participants in on the school athletic team = 18%
Pa = 18% = 0.18
The mean of sampling distributon is :
Pa - Pb
0.2 - 0.18
Hence, Mean of sampling distribution is 0.02
Write an equation of the line with the given slope and y-intercept.
slope: −3
y-intercept: 5
y=
Answer:
Y=-3X+5
Step-by-step explanation:
. At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. Which is the better deal? *
Answer: 1.5 liters
Step-by-step explanation:
3.80 divided by 4= 0.95 0.95 x 3= 2.85
2.85 is more than 2.70
mark me brainliest
Choose two pairs of alternate interror angles.
Answer: angle 5 and angle 10
angle 8 and angle 11
hope this helps!
What are the solutions of each equation?
a. x2 + 4 = 4
b. x2 + 16 = 0
c. x2 − 49 = 0
Answer:
a. x=0
b x=-8
c x=49/2
Step-by-step explanation:
a. x2+4=4
subtract 4 from both sides
x2=0
multiply
2x=0
divide by 2
x=0
b x2 + 16 = 0
multiply
2x+16=0
subtract both sides by 16
2x=-16
divide by 2
x=-8
c x2 − 49 = 0
multiply
2x-49=0
add 49 to both sides
2x=49
divide both sides by 2
x=49/2
Answer:
a. X= 0
b. X= undefined or X=4i
c. X= + or - 7
Step-by-step explanation:
a. x² + 4 = 4
when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.
then x² = 0 , where √x²=√0 , finally x=0
b. x² + 16 = 0
16 goes to other side by negative sign too
x² = -16 , where √x²=√-16 , finally x= undefined
due to the negative sign under thr square root.
at √-1 = i then x can be 4i
c. x² - 49 = 0
-49 go to the other side by positive sign
x² = 49 , where √x² = √49 , finally x= + or - 7
where negative sign is neglected at even power
example:
(-7)²=(7)²
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 8 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
about 7.8
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=8^2
2+b^2=64
B^2=62
B= about 7.8
If you ran a lemon aide stand and you sold 3 cups of lemonade to each person at .50 cents per cup,
how much money did you make selling to 25 people?
Answer:
$37.50
Step-by-step explanation:
{25(3)}0.50
-25 people times 3 cups for each person= 75
-0.50 times the amount of cups= 37.50
You would make 37 dollars and 50 cents.
There are 15 students not going on the field trip. That is 6% of all
of the 6th graders, How many 6th graders are there?
Answer:
250
Step-by-step explanation:
15=6%
?=1%
15/6=2.5
2.5=1%
1%=1/100
2.5 x 100=
250
Will give brainlist! The area of a swimming pool covers 350 square feet if the height of the pool if 5 feet what is the volume.
17. The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.
pleaaeee help
Answer:
25m2
Step-by-step explanation:
b = 10
10 divided by 4 = 2.5
h = 2.5
2.5 times 10 = 25m2
To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company
decide to have 5 people each working 6 hours a day. Assume that each person works at the same
rate.
a) How many days will it take the 5 people to complete the task?
b)Comment on how the assumption affects your answer to part (a).
Answer:
Let's suppose that each person works at an hourly rate R.
Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:
4*R*(15*8 hours) = 1 task.
Whit this we can find the value of R.
R = 1 task/(4*15*8 h) = (1/480) task/hour.
a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:
5*( (1/480) task/hour)*(D*6 hours) = 1 task.
We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:
D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16
D = 16
Then the 5 workers working 6 hours per day, need 16 days to complete the job.
b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.
Which of the following demonstrates the distributive property?
a) 3+ 5 = 5 + 3
b) 6+ (-6) = 0
c) (3x + 8) + 6 = 3x + (8 + 6)
d) -(x-3) = -x + 3
Answer:
c one demonstrates the distributive property
Simplify by expressing with radicals. ^6radical x^2 y^6
PLEASE NOTICE, IF YOU HELP ILL GIVE 50 POINTS AND BRAINLIEST
Answer:
See proof below.
Step-by-step explanation:
Statements Reasons
1. Seg. DE congr seg GF 1. Given
2. <1 congr. <2 2. Given
3. DE || GF 3. Theorem: If 2 lines are cut by a transversal such that alt int angle are congruent, then the lines are parallel
4. DEFG is a parallelogram 4. Theorem: If a quadrilateral has two sides that are congruent and parallel, then it is a parallelogram.
Subtract. Express your answer in lowest terms.
8 1/2 - 2 1/6
Answer:
[tex]6\frac{1}{3} or \frac{19}{3}[/tex]
Step-by-step explanation:
Rewriting our equation with parts separated
=8+1/2−2−1/6
Solving the whole number parts
8−2=6
Solving the fraction parts
1/2−1/6=?
Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.
LCD = 6
3/6−1/6=2/6
Reducing the fraction part, 2/6,
2/6=1/3
Combining the whole and fraction parts
6+1/3=6 1/3
What does prime factorization mean to you ?
Answer:
Prime factorization is finding prime number that are multiply together to make the original number.
Step-by-step explanation:
Identify the figure below. Select all names that apply.
Image shows a four-sided figure with opposite sides parallel and equal in length.
A.
quadrilateral
B.
parallelogram
C.
rhombus
D.
square
E.
trapezoid
Answer:
b and d
Step-by-step explanation:
