To achieve an average attendance of 30007 over three shows with the first two shows having audiences of 2580 and 2920 respectively, 84421 people must attend the third show.
Explanation:The subject here is Mathematics and we will be solving for the average attendance required for three shows to have an average of 30007 attendees per show.
Let's denote the number of people that need to attend the third show by 'x'. According to the problem, the average attendance of the three shows should be 30007, hence:
(2580 + 2920 + x) / 3 = 30007
This simplifies to 5500 + x = 90021
Subtracting 5500 from both sides, we get:
x = 90021 - 5500
Therefore, a total of 84421 people need to attend the third show for the average attendance across all three shows to be 30007.
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Evaluate the expression 14x + y when x = 11 and y = 20.
Find the percent of the total area under the standard normal curve between the given z-scores. z= -1.10 and z= -0.36
To find the percent between two z-scores under the standard normal curve, subtract the individual areas. In this case, the percentage between z = -1.10 and z = -0.36 is 1.72%.
To find the percent of the total area under the standard normal curve between z-scores, you need to first calculate the difference between the two areas to the left of each z-score. Given that the area to the left of z = -1.10 is 0.3446 and the area to the left of z = -0.36 is 0.3618, you can find the percent between them by subtracting these values: 0.3618 - 0.3446 = 0.0172 or 1.72%.
the line has the same slope as 3x-y=5 and the same y-intercept as the graph of 4y-7x=16
what is the equation in standard form?
Which table represents a function.
Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)?
Answer:
(12,24)Step-by-step explanation:
Givens
The pool holds 24 gallons.The rate is 2 gallons of water per minute.The line that represents the problem passes through points (0,0) and (1,2).We can deduct the equation that represents this problem using the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )\\y-2=2(x-1)\\y=2x-2+2\\y=2x[/tex]
So, for [tex]y=24[/tex], we have
[tex]y=2x\\24=2x\\x=\frac{24}{2}\\ x=12[/tex]
Therefore, after 12 minutes there were 24 gallons of water in the pool. The right answer is (12,24).
The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle?
Twelve large bottles of water cost $9. How much would 7 bottles of water cost?
Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer.
Answer:
y-5=-1/2(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-5)/(-1-(-3))
m=-1/(-1+3)
m=-1/2
y-y1=m(x-x1)
y-5=-1/2(x-(-3))
y-5=-1/2(x+3)
Melanie prepared 7 1/2 tablespoons of her spice mixture she is 1/4 tablespoon to make a batch of barbecue sauce estimate the number of batches of barbecue sauce she can make by using the spice mixture
Answer: There are 30 batches of barbeque sauce that she can make by using the spice mixture.
Step-by-step explanation:
Since we have given that
Number of tablespoons of her spice mixture = [tex]7\dfrac{1}{2}=\dfrac{15}{2}[/tex]
Number of tablespoons to make a batch of barbeque sauce = [tex]\dfrac{1}{4}[/tex]
so, the number of batches of barbeque sauce would be
[tex]\dfrac{15}{2}\div \dfrac{1}{4}\\\\=\dfrac{15}{2}\times 4\\\\=15\times 2\\\\=30[/tex]
Hence, there are 30 batches of barbeque sauce that she can make by using the spice mixture.
The 16 pound turkey cost $14.24 what was the price per pound
The height of four boys measured 152.0 cm. 150.75 cm,149.5 cm, and 149.25 cm. Bradley is the tallest, Calvin is taller than Josh, but shorter than Mark. Josh is the shortest. What is Mark's height
Answer:
150.75 cm
Step-by-step explanation:
Given heights,
152.0 cm, 150.75 cm, 149.5 cm, and 149.25,
∵ Calvin is taller than Josh, but shorter than Mark,
The increasing order of heights,
Josh < Calvin < Mark,
Also, Bradley is the tallest,
That is, the height of Bradley is the greater than Josh, Calvin and Mark,
So, the final increasing order of heights,
Josh < Calvin < Mark < Bradley
∵ 149.25 < 149.5 < 150.75 < 152.0
Hence, the height of Mark is 150.75.
Please answer All!!! (first part)
At 2:30 am the temperature in Joelle is 3 F. The temperature drops 3/4 of a degree in 30 min. What is the temperature on Joelle at 3:00am?
Answer: B. [tex]=2.25^{\circ}F[/tex]
Step-by-step explanation:
Given: At 2:30 am the temperature in Joelle is 3 F.
The temperature drops 3/4 of a degree in 30 min.
3/4 of a degree= [tex]\frac{3}{4}\times1^{\circ}F=\frac{3}{4}=0.75^{\circ}F[/tex]
Therefore, the temperature on Joelle after 30 min= [tex]3^{\circ}F-\frac{3}{4}\ of\ 1^{\circ}F[/tex]
[tex]=3^{\circ}F-0.75^{\circ}F[/tex]
[tex]=2.25^{\circ}F[/tex]
Thus, the temperature on Joelle at 3:00am=[tex]=2.25^{\circ}F[/tex]
which quadrant is the point (5.2,-1.7) Located?
IV
II
III
I
write a related subtraction fact for 7+3=10
list the independent and dependent variables for each situation:
(a) my height depends on my age.
(b) the amount of sleep I get determines what mood I am in.
(c) the amount of water in a bathtub is a function of the amount of time the water has been running.
(d) my distance from home varies with my speed.
(e) the amount of homework I do affects my average speed.
(f) the amount of homework I do depends on how much is assigned.
which two lines are parallel? 1) 4y=3x-4 2)4y=-1-3x 3) 4y+3x=-1
A class is selling magazines as a fund raiser. Of the 500 magazines sold, Amy sold 1/9 of them. Garret sold 0.145 of the magazines. Robbie sold 12/100 of the magazines, and Carlita sold 0.095 of the magazines. Who sold the most magazines?
I am a fraction equivalent to 2/5. My numerator is 21 less than my denominator. What fraction am I?
Find the circumference of the circle in terms of pi.
A. 39 in
B. 1521 in.
C. 78 in
D. 156 in
The circumference of the circle with radius [tex] r [/tex] is given by [tex] P=2\pi r [/tex]. When [tex] r=39\;in [/tex],
[tex] P=2\pi (39)\\
P=78\pi \;in [/tex]
Correct choice is (C).
Answer:
Option C is correct
78 π inches
Step-by-step explanation:
Circumference (C) of a circle is given by:
[tex]C = 2 \pi r[/tex] .....[1]
where, r is the radius of the circle.
As per the statement:
From the given figure;
radius of the circle(r) = 39 in.
Substitute this value in [1] we have;
[tex]C = 2 \cdot \pi \cdot 39 = 78 \pi[/tex]
Therefore, the value of circumference of the circle in terms of pi is, [tex]78 \pi in.[/tex]
what is the equation of the line graph
what is 3/4× 4/5÷1/4÷1/2
Round 0.955 inches to the nearest tenth of an inch
The nearest tenth is the first digit after the decimal point. The round 0.955 inches to the nearest tenth of an inch is 1.0 inches.
Given 0.995 inches
round to the nearest tenth of an inch.
This means round to the nearest first decimal point and to include the actual first decimal point (and that decimal point only, the tenth place).
We are given the number 0.955. This is given to the nearest thousands.
We examine the tenth place at 0.9.
So we know our choices are
What is the nearest tenth?The nearest tenth is the first digit after the decimal point.
0.9 (round down to the nearest tenths place) or 1.0 (round up to the nearest tenths place).
We examine the number 0.955 and look to the next value, the hundredths place
If that digit is 5 or greater we round up and the correct answer is 1.0.
If that number is 4 or less (i.e. 0 to 4), we round down and the correct answer is 0.9.
In the case of our give value: 0.955.
The digit to the right of 9 is 5 so, as previously mentioned,
we round up to 1.0.
Therefore, The round 0.955 inches to the nearest tenth of an inch is 1.0 inches.
The answer is 1.0 inches.
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Select the function that represents an arithmetic sequence.A(n) = P(1 + i)n – 1, where n is a positive integer B.A(n) = P + (n – 1)i • P, where n is any real number C.A(n) = P(1 + i)n – 1, where n is any real number D.A(n) = P + (n – 1)i • P, where n is a positive integer
73 is 20% of what number
After a car is purchased, the value of a new car decreases $4000 each year. After 3 years, the car is worth $18000.
Write an equation that represents the value V (in dollars) of the car x years after it is purchased.
Answer:
Original - 4000x
so, after 3 years we have:
Original - 12000 = 18000
=> Original = $30,000
Step-by-step explanation:
A student has a daily reading productivity levels of 1 chapter while at a computer lab, 5 chapters while at a coffee shop, and 7 chapters while at the library. If 1/7 of the day is spent at a computer lab, 5/14 at a coffee shop, and 1/2 at a library, what is the total daily reading productivity level of the students?
The total daily reading productivity level of the students is 1 .
It is required to find the total daily reading productivity level of the students.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
GIven:
computer lab= 1 chapter
coffee shop=5 chapters
library shop=7 chapters
According to given question we have,
1/7 + 5/14 +1/2
= 2/14 + 5/14 + 7/14
=14/14
=1
Therefore, the total daily reading productivity level of the students is 1 .
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28 divided by 7 add 2 mutiply 3 equals ?
8,473,227 round to the nearest 100,000
A telephone company charges a monthly rate plus a rate per minute of usage.
Answer:
Step-by-step explanation:
dude really put what i typed as a question.