Answer:
1. 45
2. 9
3. 11
4. 17
Step-by-step explanation:
The computation is shown below:
Given that
28 checked H
26 checked C
14 checked D
8 checked H and C
4 checked H and D
3 checked C and D
2 checked all.
Based on the above information
N(H)=28
N(C) 26
N(D) 14
N(H∪C) = 8
N(H∪D) = 4
[tex]N(C\cup D)=3[/tex]
[tex]N(H\cup C\cup D)=2[/tex]
We know that
[tex]Total=N(H)+N(C)+N(D)-N(H\cup C)-N(H\cup D)-N(C\cup D)+N(H\cup C\cup D)[/tex]
= 28 + 26 + 14 - 8 - 4 - 3 + 2
= 55
1. The students who didnt check any kind of the box is
= 100 - 55
= 45
2) Students who checked exactly two boxes is
[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-3N(H\cup C\cup D)[/tex]
= 8 + 4 + 3 - 6
= 9
3) Students who checked a minimum of two boxes
[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-2N(H\cup C\cup D)[/tex]
= 8 + 4 + 3 - 4
= 11
4) Given N(C) = 26
Now we have to deduct N(C∪D) and N(H∪C) as it could be checked aside from the club
= 26 - 8 - 3
= 15
Here the [tex]N(H\cup C\cup D)[/tex] could be deducted twice under both categories so it would be added one time to neutralize
= 15 + 2
= 17
.
.
what's the rate of change and is it a linear function
Answer:
The rate of change is -4.5 and the relation of the table is a linear function
Step-by-step explanation:
Linear function.
A linear function can be identified because the rate of change is constant at every point of its domain.
The graph of a linear function is a straight line with a constant slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We'll show the relation shown in the table is a linear function. We'll calculate the slope for any random pair of points. For example, using (2,83) and (3,78.5):
[tex]\displaystyle m=\frac{78.5-83}{3-2}=-4.5[/tex]
Now for (7,60.5) and (14,29):
[tex]\displaystyle m=\frac{29-60.5}{14-7}=\frac{-31.5}{7}=-4.5[/tex]
Proceeding in a similar way with any pair of points, the slope will always result in the same value, thus the rate of change is -4.5 and the relation of the table is a linear function.
Choose the right answer.
A box and whiskers chart dlvides a data set Into
equal parts called quartiles.
2
4
3
A box and whiskers chart divides the data set into 4 equal parts called quartiles. (second option)
What is a box and whiskers chart?A box and whiskers chart is used to study the distribution and level of a set of scores. The values are distributed into 4 groups. Each group has a value of 25%
The whiskers represent the minimum and the maximum values. On the box, the first line to the left represents the lower quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the upper quartile. 75% of the scores represents the upper quartile.
To learn more about box plots,. please check: https://brainly.com/question/27215146
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Please anyone answer this one and get it right
Answer:
300
-100
Step-by-step explanation:
-50 + -250 = -300
-300 + x = 0
x = 300
-425 + 250 + 275 = 100
-100 + x = 0
x = -100
Answer:
6.) 300 7.) -100
Step-by-step explanation:
A reflector on the inside of a certain flashlight is a parabola given by the equation y = x2– 25. Find the points where
the reflector meets the lens by finding the values of x when y = 0.
Answer:
[tex]\boxed{x_1 = 5~~or~~x_2 = -5}[/tex]
.
Step-by-step explanation:
[tex]\to y = 0[/tex]
[tex]y = x^2 - 25[/tex]
[tex]x^2 - 25 = 0[/tex]
[tex]x^2 = 25[/tex]
[tex]x = \pm \sqrt{25}[/tex]
[tex]x = \pm 5[/tex]
.
[tex]x = 5[/tex]
[tex]x = -5[/tex]
The point where the reflector meets the lens is ± 5.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A reflector on the inside of a certain flashlight is a parabola given by the equation y = x² - 25.
Now the points where the reflector meets the lens are,
0 = x² - 25.
x² = 25.
x = ± 5.
learn more about quadratic equations here :
https://brainly.com/question/17177510
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Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and $4 for children. One hundred eight adults and children attended, and $1,152 was made in ticket sales. How many children and how many adults went to the film premiere?
A. 18 children, 133 adults
B. 14 children, 137 adults
C. 8 children, 143 adults
D. 11 children, 140 adults
Answer:
B.
Step-by-step explanation:
14 x 4 + 137 x 8 = $1,152
hope this helps
have a great day
and a Merry Christmas UwU
A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at a rate of $200 per hour when in operation. However, the extruder breaks down an average of two times every day it operates. If Y denotes the number of breakdowns per day, and suppose Y follows a Poisson distribution. The daily revenue generated by the machine is R=1600−50Y^2. Find the expected daily revenue for the extruder.
Answer:
$1300
Step-by-step explanation:
λ = average = 2 per day, Y denotes the number of breakdowns per day,
But E(Y) = λ, E[Y(Y - 1)] = λ²
E(Y²) = E[Y(Y - 1)] + E(Y), hence:
E(Y²) = λ² + λ
The daily revenue is R=1600−50Y². The expected daily revenue for the extruder E(R) is:
E(R) = E(1600−50Y²) = 1600 - 50E(Y²)
E(R) = 1600 - 50(λ² + λ)
Substituting:
E(R) = 1600 - 50(2² + 2)
E(R) = 1600 - 300 = 1300
E(R) = $1300
Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed.
Answer:
Jada travels faster at a speed of 45mph
Step-by-step explanation:
Jada travels faster at a speed of 45mph
When you divide the overall miles from the time it takes you get the miles per hour.
Jada: 135/3= 45
Andre: 228/6= 38
Jada travels at 45mph as Andre travels at 38mph.
Hope this helps!
Answer:
45
Step-by-step explanation:
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent
Answer:
33.33%
Step-by-step explanation:
We need to calculate the unit selling price and cost of each cosmetics.
If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;
x = 1 cosmetic
since 360 = 12 cosmetic
cross multiply
12x = 360
x = 360/12
x = 30
Hence the unit cost price of the cosmetics will be Rs. 30
Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)
Selling price per unit = Rs. 40
Cost price per unit = Rs. 30
percent gain = SP-CP/CP * 100%
percent gain = 40-30/30 * 100
percent gain = 10/30 * 100
percent gain = 100/3
percent gain = 33.33%
Hence the percentage gain is 33.33%
Ted has scored 90 points in the first 5 games of the season. How many points per game has he scored?
Answer:
18
Step-by-step explanation:
Divide 90 by 5
Which situation can be represented by the expression -2+(-1)
Choose 1 Answer:
Answer:
A
Step-by-step explanation:
I checked on khan
Need pleas ok need today
Answer:
90
Step-by-step explanation:
You need to simply add all the given numbers together and enter the missing number that'll make the total 0. So:
-75 + (-25) = -100
-100 + 10 = -90
-90 + 90 = 0
Thus, adding a 90 in the empty box will make it 0.
Answer:
90
Step-by-step explanation:
This is the answer because:
1) -75 + (-25) = -100
2) -100 + 10 = -90
3) -90 + 90 = 0
Therefore, the answer is 90 because whenever a negative number is added with the same poitive number, it beomes a 0.
Hope this helps! :D
A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a random sample of 500 voters from one region, Region A, of the city. Assume that the population proportion of voters who would support the ballot measure in Region A is 0.47. What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50
Answer:
The value is [tex]P( X > 0.50) = 0.089264[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 500
The population proportion is p = 0.47
Generally given that the sample size is sufficiently large , the mean of this sampling distribution is mathematically represented as
[tex]\mu_x = p = 0.47[/tex]
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p(1- p )}{ n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.47 (1-0.47 )}{ 500 } }[/tex]
=> [tex]\sigma = 0.0223[/tex]
Gnerally the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is mathematically represented as
[tex]P( X > 0.50) = P( \frac{ X - \mu }{ \sigma } > \frac{ 0.50 - 0.47 }{ 0.0223 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P( X > 0.50) = P( Z> 1.3453 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.3453 is
[tex]P( Z> 1.3453 ) = 0.089264[/tex]
So
[tex]P( X > 0.50) = 0.089264[/tex]
Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
By the Central Limit Theorem, the sampling distribution of sample proportions of size n of a proportion p has [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this problem:
Sample of 500 voters, hence [tex]n = 500[/tex].The proportion is of 0.47, hence [tex]p = 0.47[/tex]The mean and the standard deviation are:
[tex]\mu = p = 0.47[/tex]
[tex]\sigma = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.47(0.53)}{500}} = 0.0223[/tex]
The probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is 1 subtracted by the p-value of Z when X = 0.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.5 - 0.47}{0.0223}[/tex]
[tex]Z = 1.34[/tex]
[tex]Z = 1.34[/tex] has a p-value of 0.9099.
1 - 0.9099 = 0.0901
0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.
A similar problem is given at https://brainly.com/question/24663213
4 gallons= ________________ quarts *
Answer:
4 gallons=16 quarts
Step-by-step explanation:
Brainliest me pls
Have a nice day!
Answer:
16 Quarts
Step-by-step explanation:
First I figured out how many quarts are in a gallon which is 4.
Then I multiplied 4 by 4 which gives you 16.
Hope This helps! ^w^
which is the correct answer?
Answer:
i think B
Step-by-step explanation:
For what value of x is quadrilateral CDEF a parallelogram?
с C
x + 1
F
2X-3
D
N
E
X=
Answer:
[tex] x = 4 [/tex]
Step-by-step explanation:
Since the diagonals of a parallelogram bisects each other, therefore:
[tex] x + 1 = 2x - 3 [/tex]
Collect like terms
[tex] x - 2x = -1 - 3 [/tex]
[tex] -x = -4 [/tex]
Divide both sides by -1
[tex] x = 4 [/tex]
On a factory floor, 65 out of every 140 toy robots is defective. What percent of the toy robots are defective? Round your answer to the nearest hundredth.
Answer:
65/140
as a percentage is 46.43
hundredth rounding
46.4
Step-by-step explanation:
13(9−6m)+14(12m−8) =
Answer:
90m + 5
Step-by-step explanation:
Distribute 13 to (9-6m) and distribute 14 to (12m -8)
13*9 - 13*6m + 14*12m - 14*8 =
117 - 78m + 168m - 112 =
put like terms together
117-112 -78m + 168m =
5 + 90m
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Los Angeles is 1,744 miles from Chicago, Chicago is 714 miles from New York, and New York is 2,451 miles from Los Angeles. Draw a triangle connecting these three cities, and find the angles in the triangle.
Answer:
Following are the solution to this question:
Step-by-step explanation:
please find the graph image in the attached file.
Given value:
[tex]AB= c= 1744 \ miles\\\\BC= a= 2451 \ miles\\\\AB= s= 714 \ miles[/tex]
using the law of cosines:
[tex]\cos A = \frac{s^2+c^2-a^2}{2bc}\\\\[/tex]
[tex]=\frac{714^2+1744^2-2451^2}{2 \times 714 \times 1744}\\\\= -0.9862[/tex]
[tex]A=cos^{-1} (-0.9862)\\\\A= 170.47^{\circ}[/tex]
[tex]\cos B = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\B=cos^{-1} (0.9988)\\\\B= 2.7641^{\circ}\\\\[/tex]
[tex]\cos C = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\C=cos^{-1} (0.9988)\\\\C= 2.7641^{\circ}[/tex]
24 coloring books,60 crayons, and 84 markers can be packaged into at most how many Identical packages? How many will each package contain?
Answer:
there can be 12 identical packages at most. each package will contain:
- 2 coloring books
- 5 crayons
- 7 markers
Step-by-step explanation:
Solve the given equation for v.
Answer:(3t)^2
Step-by-step explanation:
Steps below
Missing length?? Please help me out
Answer:
The missing length is 12
Step-by-step explanation:
Required
Determine the missing length (LS)
If RS = 28 and KS = 14
Then
[tex]KR = RS - KS[/tex]
[tex]KR = 28 - 14[/tex]
[tex]KR = 14[/tex]
The sides of the given shape are directly proportional.
This implies that:
[tex]KS : LS = RS : QS[/tex]
[tex]KS = 14[/tex]
[tex]RS = 28[/tex]
[tex]QS = 12 + LS[/tex]
[tex]LS = ??[/tex]
So, the expression becomes:
[tex]14 : LS = 28 : 12 + LS[/tex]
Represent as a fraction
[tex]\frac{14}{LS} = \frac{28}{12 + LS}[/tex]
Cross Multiply:
[tex]14(12 + LS) = 28 * LS[/tex]
Divide through by 12
[tex]12 + LS = 2 * LS[/tex]
[tex]12 + LS = 2 LS[/tex]
Collect Like Terms
[tex]2LS - LS = 12[/tex]
[tex]LS = 12[/tex]
The length of the missing side is 12
If you divide a polynomial f(x) by the factor (x - 4), the remainder will be equal to f(-4). true or false ?
Answer:
FALSEStep-by-step explanation:
Given the polynomial f(x) divided by x-4
To check whether the remainder will be equal to f(-4), we need to get whether the value of x is -4 if we set x-4 to zero as shown;
x- 4 = 0
Add 4 to both sides
x - 4 + 4 = 0+4
x = 4
Since the value of x is 4 not -4 hence the remainder will NOT be equal to f(-4). The answer is false
For a moving object, the force acting on the object where is directly from the objects acceleration. When a force of 21 N Acts on a certain object, the acceleration of the object is 7 m/s^2. If the acceleration of the object becomes 9 m/s^2, what is the force?
Answer:
[tex]F = 27N[/tex]
Step-by-step explanation:
Given
Force directly proportional to acceleration
Force = 21N when Acceleraion = 7m/s^2
Required
Determine the force when acceleration = 9m/s^2
The variation between force (F) and acceleration (A) implies that:
[tex]F\ \alpha\ \ A[/tex]
Convert to an equation
[tex]F = mA[/tex]
Where m is constant.
When F = 21 and A = 7, we have:
[tex]21 = m * 7[/tex]
Solve for m
[tex]m = \frac{21}{7}[/tex]
[tex]m = 3[/tex]
When A = 9
Substitute 9 for A and 3 for m in [tex]F = mA[/tex]
[tex]F = 3 * 9[/tex]
[tex]F = 27N[/tex]
An exponential function in the form y = ab^x goes through the points (3, 10.125) and (6, 34.2). Find a to the
nearest integer and b to the nearest tenth, then find f (10) to the nearest integer.
Answer:
[tex]f(10) = 173[/tex]
Step-by-step explanation:
Given
Exponential Function
[tex](x_1,y_1) = (3,10.125)[/tex]
[tex](x_2,y_2) = (6,34.2)[/tex]
Required
Determine f(10)
We have that
[tex]y = ab^x[/tex]
First, we need to solve for the values of a and b
For [tex](x_1,y_1) = (3,10.125)[/tex]
[tex]10.125 = ab^3[/tex] --- (1)
For [tex](x_2,y_2) = (6,34.2)[/tex]
[tex]34.2 = ab^6[/tex] ---- (2)
Divide (2) by (1)
[tex]\frac{34.2}{10.125} = \frac{ab^6}{ab^3}[/tex]
[tex]\frac{34.2}{10.125} = \frac{b^6}{b^3}[/tex]
[tex]3.38= b^{6-3}[/tex]
[tex]3.38= b^{3}[/tex]
Take cube root of both sides
[tex]b = \sqrt[3]{3.38}[/tex]
[tex]b = 1.5[/tex]
Substitute 1.5 for b in [tex]10.125 = ab^3[/tex]
[tex]10.125 = a * 1.5^3[/tex]
[tex]10.125 = a * 3.375[/tex]
Solve for a
[tex]a = \frac{10.125}{3.375}[/tex]
[tex]a = 3[/tex]
To solve for f(10).
This implies that x = 10
So, we have:
[tex]y = ab^x[/tex] which becomes
[tex]y = 3 * 1.5^{10[/tex]
[tex]y = 3 * 57.6650390625[/tex]
[tex]y = 172.995117188[/tex]
[tex]y = 173[/tex] -- approximated
Hence:
[tex]f(10) = 173[/tex]
A certain bacteria can divide every hour. Which of the following equations represents the number of cells, N, that is present after t hours?
A
N(t)=2t
B
N(t)=2/t
C
N(t)=2t
D
N(t)=t2
Answer:
N(t) = N0/2^t
Step-by-step explanation:
Given that:
Number of cells present after t hours = N
Let initial number of cells = N0
Using the exponential decay relation:
N(t) = N0(1/2)^t
N(t) = N0/2^t
Hence, the number of cells N present after t hours is N(t) = N0/2^t.
find the midpoint of the segment with endpoints with coordinates at (-2,3) and (6,3)
At fast food restaurant, 90% of the customers’ order hamburger. If 72% of the customer’s order hamburger and French fries, what is the probability that a customer who orders hamburger will also order French fries?
Answer:
0.8
Step-by-step explanation:
A = hamburger
B = french fries
P(B|A)
P(AB)/P(A)
= 0.72/0.9
= 0.8
For a party, 10 friends are buying 100 cups, 100 plates, a
punchbowl, and 200 balloons.
DATA
Party Supplies
100 balloons $7.80
100 plates
$4.75
100 cups
$5.45
100 napkins
$2.09
10 invitations $1.60
plastic punchbowl $11.50
What stepe do you need
to solve to find the
answer?
a. How much did they spend on party supplies?
Answer:
the answer i believe is 37.30
Please helppppppppppppp me
Answer:
with what?
Step-by-step explanation:
Which of the following equations is equivalent to
3x + 2 = 14?
A. 4x=14
B. 3x=12
C. 3x=16
D. -1x = 12
Answer:
C
is your answer. Glad I could help!
Step-by-step explanation:
3 + 2 = 5 + 14 = 19
A. 18
B. 15
C. 19
D. 11
