- 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:
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;
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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
estimate 70 divided 30
Answer:
1.4 estimate: 1
Step-by-step explanation:
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:
Which of these is the standard form of the following function?
f(x) = -9(x + 5)2 + 4
f(x) = 9x2 − 90x − 221
f(x) = -9x2 − 90x − 221
f(x) = 9x2 − 180x + 221
f(x) = -9x2 − 180x − 221
Answer:
the answer is B) -9x2 -90x -221
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
Which expression is equivalent to
x
2
−
28
x
+
196
?
Answer: (x+14)^2
Step-by-step explanation:
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:
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.
Huilan is 11 years older than Thomas. The sum of their ages is 65. What is Thomas's age?
Answer:
thomas's age is 38
Step-by-step explanation:
Find the GCF 8x^3-12x^2+4x
Answer:
4x
Step-by-step explanation:
If the ratio of boys to girls is 1:2 and there are 10 girls in your class, how many boys are there?
Answer:
5
Step-by-step explanation:
divide 10 by 2
Answer:
There are 5 boys in the class
The Smiths spend 5% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,300 on entertainment. What was their total budget last year?
Their total budget last year was
Answer:
$44,000 is the total budget
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
solve using substitution
-5x+7y=-5
y=-5
x=?
So if you solve for x using the first equation, you get: x = 5y - 5.
From there you can plug that into the second equation which would give you:
7y-5y+5=-23
Simplifying from that point, you get y = -9.
Now that you have one of the values, you can solve for x by plugging it back into the equation we made (x = 5y - 5) and getting to the answer x = -40.
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:
Find the missing length
I WILL GIVE BRAINLIEST
Answer:
36+36+18=90. 90-60=30-6=24
30+30=60
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
The bakers at
Good-For-You Bakery can
make 500 bagels in 2
hours. How many bagels
can they bake in 14
hours? What was that rate
per hour?
Answer:
Rate: 250 bagels per hour
3500 bagels in 14 hours
Step-by-step explanation:
You deposit $2000 in an account that earns 5% annual interest. Find the balance in the account after 8 years if the interest is compounded monthly
FORMULA FOR COMPOUND INT. = A = P ( 1 + [tex]\frac{R}{100}[/tex])[tex]^{n}[/tex]
= P = 2000, R = [tex]\frac{5}{12}[/tex] ( as it is compounded monthly ), N= 8 × 12 = 96
= A = 2000 [tex]([/tex] 1 + [tex]\frac{5}{1200}[/tex] [tex])^{96\\}[/tex] = [tex]\frac{2000}{1}[/tex] × ([tex]\frac{1205}{1200}[/tex]) [tex]^{96}[/tex]
= 2981.17
3 points
2. The cost of an online subscription to a
newspaper is $7.99 per month. If you
buy a one-year subscription, the cost
is $89.88. How much do you pay each
month if you choose the one-year
subscription?
Answer:
$7.49
Step-by-step explanation:
89.88/12= 7.49
Which equation represents a line with a slope of -6/5
and a y-intercept of 1?
Answer:
y = -6/5x + 1
Step-by-step explanation:
The equation that represents a line with a slope of -6/5 and a y-intercept of 1 is y = -6/5x + 1
How to determine the equation?The given parameters are:
Slope, m = -6/5y-intercept = 1Let the variable of the equation be x.
A linear equation is represented as:
y = Slope * x + y-intercept
So, we have:
y = -6/5 * x + 1
Evaluate
y = -6/5x + 1
Hence, the equation is y = -6/5x + 1
Read more about linear equations at:
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It costs $3.50 for ¾ pound of chicken. How much does it cost for 1 pound of chicken?
Answer:
£4.38
Step-by-step explanation:
You need to find 1/4 and then add it on
Select the fraction that is equivalent to one half.
HOW DO I DO THIS PLZ HELP
Answer:
1/2 one half
Step-by-step explanation:
Answer:
Multiply both the numerator and the denominator by the same whole number.
For example;
If you multiply 1/2 by 2/2, this will equal 2/4. You can simplify 2/4 to 1/2.
So to find 1/2 to be equivalent to another fraction, multiply both the numerator and the denominator by the same number to find a fraction that equals 1/2.
Translate quadrilateral ABCD 5 units to the right and 6 units down.
What are the coordinates of the vertices of the image?
Please help and give an answer with in depth information. +15 points
Answer:
D. A'(1,-7), B'(2,-1), C'8,-2) and D'(7,-5)
Step-by-step explanation:
Probably too late, but I took the quiz
Answer:
D
Step-by-step explanation:
Keep it simple, but correct :)
Question 3(Multiple Choice Worth 1 points)
(05.04 MC)
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the outlier is included, then the mean is 84. Which statement is always true about the new data when the outlier is removed?
The mean would decrease.
The mean would increase.
The median would decrease.
The median would increase.
Answer:
The mean would increase
Step-by-step explanation:
The mean would increase
78 is lower than the mean so if you take out a value that's lower than the mean it would obviously increase
Choose two pairs of alternate interror angles.
Answer: angle 5 and angle 10
angle 8 and angle 11
hope this helps!
(-)*(-)*(-)
a. +
b. -
c. 0
pls help
Answer:
b. -
Step-by-step explanation:
Note the rules of multiply/dividing negative numbers:
1) A positive number multiplied/divided by a positive number = a positive answer.
2) A positive number multiplied/divided by a negative number (and vice versa) = a negative answer.
3) A negative number multiplied/divided by a negative number = a positive answer.
~
Note the question.
The first part is multiplying a negative number with a negative number:
(-) * (-) = (+) , based on the rules given above.
Next, multiply the next number. Note that it is also a negative number:
(+) * (-) = (-) , based on the rules given above.
b. - is your answer.
~
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
