A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school. Undergraduate Major Graduate School Business Engineering Others Total Yes 70 84 126 280 No 182 208 130 520 Total 252 292 256 800 Of those students who are majoring in business, what percentage plans to go to graduate school?a. 40.4.b. 10.5.c. 28.8.d. 30.0.
Using the percentage concept, it is found that of those students who are majoring in business, the percentage plans to go to graduate school is given by:
c. 28.8.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, there are 252 students majoring is business, and of those, 70 plan to go to graduate school, hence the percentage is given by:
[tex]P = \frac{70}{252} \times 100\% = 28.8\%[/tex]
Hence option C is correct.
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Which is the best estimate of -14 1/9 (-2 9/10)?
Answer:
45.43
Step-by-step explanation:
Lexi had 3/4 of an apple pie. She gave 1/4 of what she had to her friend Julie. What fraction of the whole pie did Julie get?
Answer:
3/16 of the whole pie
Step-by-step explanation:
Lexi had 3/4 of an apple pie. She gave 1/4 of it to Julie. That means what Julie receives is the product of the whole and the portion.
==========================================================
Solving :
Therefore, the equation is :
⇒ 3/4 × 1/4
⇒ 3/16 of the whole pie
Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure.
On a coordinate plane, a figure contains 3 full squares and 12 partial squares.
If Leigh uses the strategy, which statement best describes the figure?
3 full squares and 12 partial squares
3 full squares and 15 partial squares
4 full squares and 7 partial squares
4 full squares and 13 partial squares
If Leigh uses the strategy, the statement that describes the figure is A. 3 full squares and 12 partial squares.
How to depict the information?From the information, Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure.
It was stated that on a coordinate plane, a figure contains 3 full squares and 12 partial squares.
Therefore, the correct option is A.
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The weight, w, that a horizontal beam can support varies inversely as the
length, l, of the beam. a beam measuring 5 meters in length can support
430 kilograms. how much weight can a beam measuring 2 meters
support?
A beam measuring 2 meters can support 172 kilograms
How to determine the weight?The variation is a direct variation.
So, we have:
w = kl
Where k is the constant of variation.
When l = 5, w = 430.
This means that:
430 = 5k
Divide both sides by 5
k = 86
So, we have:
w = 86l
When l = 2, we have:
w = 86 * 2
Evaluate
w = 172
Hence, a beam measuring 2 meters can support 172 kilograms
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Alex is 16 years old and his brother is 5 years old. In many years will Alex be twice the age of his brother?
Answer:
Yes
Step-by-step explanation:
At the age of 22 Alex will have twice the age of His brother who is 11 years old
A house is valued at £240 000.
Its value is predicted to rise by 2.8% per
annum.
Calculate its predicted value after 2 years.
The formula for calculating the amount predicted at t years is expressed as:
A = P(1+r)^t. The predicted value after 2 years is £253.62
Exponential functionThe formula for calculating the amount predicted at t years is expressed as:
A = P(1+r)^t
where
P is the principalr is the ratet is the timeSubstitute the given parameters
A = 240(1+0.028)^2
A =240 (1.028)^2
A = £253.62
Hence the predicted value after 2 years is £253.62
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Write down the integer values satisfied by this diagram. I n -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The integer values that satisfy the given diagram are 0, 1, 2, and, 3.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
Given a solid dot at 3, while an open dot at -1, also, there is a line from -1 to 3. Therefore, the integer values that satisfy the given diagram are 0, 1, 2, and, 3.
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The sum of ages of fred and pat is 40 years. in four years the age of pat will be three times the age now. how old is each boy?
answer the questions and answer the questions please please please please please
prove that 6(n+6)-(2n+3) is odd number for all n£N
Answer:
[tex]\begin{aligned}6(n+6)-(2n+3) & = 6n+36-2n-3\\& = 4n+33\\& = 4n + 32 + 1\\& = 2(2n+16) + 1\end{aligned}[/tex]
Any number multiplied by 2 is even, therefore 2(2n + 16) is even.
If 2(2n + 16) is even, then adding 1 to this makes it odd.
Thus proving that the given expression is an odd number for all [tex]n \in \mathbb{N}[/tex]
pls help i hate math. three forces act on an object. one force pulls right with 60n. the second pulls left with 30n. the third pulls left 20n. what is the net force?
Answer:
20 is.the net force act in object
The measure of an angle is 153°. What is the measure of its supplementary angle?
Answer:
27
Step-by-step explanation:
Supplementary angles add up to 180 degrees
So to find the measure of an angle supplementary to a given angle, we simply subtract the given angle from 180
The given angle here has a measure of 153 degrees
So the angle's supplement has a measure of 180 - 153 = 27 degrees.
If 2^2x = 3, find 4^6x-5
f(s) = (= + 5)²
is it a even function or odd or both? or neither ??
Answer:
both
Step-by-step explanation:
that's the answer to the question
My little brother lost a tooth at school and came home with a cube-shaped tooth box has an area of 24 cm. What is the volume of the box?
Answer:
8 cubic cm
Step-by-step explanation:
6 * ( L square ) = 24
L= 2
then
v= l cube
= 2*2*2
=8
Can someone help with this!
In the given image, [tex]a_{23}[/tex] is 5. The correct option is the first option 5
Matrix notationFrom the question, we are to determine which entry in the given matrix represents [tex]a_{23}[/tex]
NOTE: For any entry denoted as [tex]a_{mn}[/tex], it represents the entry in the m-th row and n-th column.
Thus,
[tex]a_{23}[/tex] represents the entry in the 2nd row and 3rd column.
In the given image, the entry in the 2nd row and 3rd column is 5.
Hence, in the given image, [tex]a_{23}[/tex] is 5. The correct option is the first option 5
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WILL GIVE BRAINLIEST!!!
If the measure of arc AB = 58 and the measure of arc CD = 18, what is the value of x? The figure is not drawn to scale.
The correct answer is option D. which is the angle x will be 38 degrees.
What is the angle of arc theorem?The measure of the angle created when two chords collide inside a circle is one-half the sum of the arcs intercepted by the angle and its vertical angle.
Here we have a measure of arc AB = 58 and the measure of arc CD = 18, So what is the value of x?
The value of x will be calculated by using the angle of arc theorem.
x = Sum of the arcs / 2
x = ( 58 + 18 ) / 2
x = ( 38 degrees )
Therefore the correct answer is option D. which is the angle x will be 38 degrees.
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a dice is rolled 50 times. the score of each is recorded in the table below
Answer:
No answer. There is no table. The answer for it is probably the frequency which is 8 for the 6 values of dice.
Step-by-step explanation:
50/6 = 8.33333....
So for the numbers 1,2,3,4,5,6 it is 8 times.
which means each number will have the frequency of 8.
This is the most answer that I could get. Since, there was no picture to support this answer. DO NOT PUT THIS AS YOUR REAL ANSWER BECAUSE IT MAY BE WRONG.
*please help me out if you know how to solve, last person I asked just put a random awnser for point, the problem is bellow and there is a chart in the picture.*
6. In both Mr. Jacquez's Math 2 classes,
Period 2 and Period 3 were given the same test. The table below shows the results from the two classes.
a. Find the probability that a randomly selected student from Period 2's class failed the test.
b. Find the probability that a randomly selected student who failed the test is from Period 3's class
For both of these, we will divide the wanted outcome by the number of possible outcomes. We will end up with a decimal. A decimal multiplied by 100 becomes a percent.
[a] 50%
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed}}{\text{Period 2's class}} =\frac{12}{24} =0.5,\:0.5*100=50\%[/tex]
[b] 52%
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed from Period 3}}{\text{fails from both classes}} =\frac{13}{25} =0.52,[/tex]
[tex]\displaystyle 0.52*100=52\%[/tex]
The volume of a right rectangular prism can be found by using the product 9(4)(11). which expression could also be used to determine the volume of this prism? 11(9)(4) 9(4) 1 32(11) 9 4 11
Volume is a three-dimensional scalar quantity. The expression that could also be used to determine the volume of this prism is 11(9)(4).
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a right rectangular prism can be found by using the product of 9(4)(11). The expression that could also be used to determine the volume of this prism is 11(9)(4).
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Answer:
11(9)(4)
Step-by-step explanation:
Hope this helps!!!!
Use the formula a=p(1 rn)nt to find the amount in a compound interest account after t years, compounded n times a year. mary deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. what was the amount in the account at the end of 10 years? round to the nearest dollar. $7,120 $6,769 $6,026 $5,872
Answer:
(b) $6,769
Step-by-step explanation:
The value in the account can be found by using the compound interest formula:
A = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
__
apply formulaUsing the given values in the formula, we have ...
P = 5600, r = 0.019, n = 4, t = 10
A = 5600(1 +0.019/4)^(4·10) = 5600×1.00475^40 ≈ 6768.752
The amount in the account at the end of 10 years was about $6,769.
_____
Additional comment
Any number of spreadsheets, calculators, or apps can find the future value (FV) for you. The attachment shows the use of a TI-84 calculator work-alike.
please help only if u know
Answer
100
Step-by-step explanation:
bxh is the formula for area of the triangle (base_
so 5x4=20
20x5 (height) = 100
Answer:
80 cm
Step-by-step explanation:
formula
b x h x .5
b= the area of the base
Simplify the following expression: 4-3 x 4-8.
Answer: -3x^4-4
Step-by-step explanation: -3x^4+4-8 > =-3x^4-4
Six positive integers have a range of 13 the integers are 5,9,7,12,3,x find the value of x
Answer:
16
Step-by-step explanation:
the range is the amount of numbers between the highest and lowest number in a set. if the lowest number is 3, and the range is thirteen, and the number must be a positice, the highest number in the range is 16.
pls help i dont know ?
Answer:
[tex]8 \times(2+15)[/tex]
Step-by-step explanation:
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to write "8 times the sum of 2 and 15" as an algebraic expression.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
"sum" means addSo, we add 2 and 15:
[tex]\mathtt{2+15}[/tex]
Now we multiply 8 times this expression:
[tex]\mathtt{8\times(2+15)}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
PLEASEEEE HELP DUE TODAY! MIGHT GIVE BRAINLIST! EFOORT WILL BE RESPECTED! PIC ATAACHED
The attached image represents the interval 2 < x ≤ 9 on the number line
How to highlight the interval?The interval is given as:
2 < x ≤ 9
The above interval means that:
2 is exclusive of the values of x (because of the < inequality symbol)9 is inclusive of the values of x (because of the ≤ inequality symbol)In inequality, the < symbol uses an open circle, while the ≤ uses a closed circle
Next, we highlight the interval using the above rules (see attachment)
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Pls help asap and show your work I’ll give brainliest
Answer: 3360 ft squared
Step-by-step explanation:
Short side : 30 x 14 = 420
Long side 30 x 3 x 14 = 1260
420 + 420 + 1260 + 1260 = 3360
pls give brainliest
have a nice day
Area of shorter side
BH30(14)420ft²Area of longer sides
420(3)1260ft²Total Lateral surface area
2(1260+420)2(1680)3380ft²Renark:-
The general LSA formula of cuboid can also be used to solve
LSA=2×H(L+B)75, 73, 76, 78, 79, 78, 79, 81, 80, 82, 81, 84 what is the mean
Answer:
8
Step-by-step explanation:
A ball is thrown into the air. The height in feet of the ball can be modeled by the equation, h(t) = −16t2 + 10t + 6 where t is the time in seconds the ball is in the air. When will the ball hit the ground? Write the function in intercept form. Group of answer choices:
A. h(t) = (−8t − 3)(2t + 2); the ball will hit the ground at 2.5 seconds
B. h(t) = (−8t + 3)(2t − 2); the ball will hit the ground at 2 seconds
C. h(t) = (8t − 3)(2t − 2); the ball will hit the ground at 1.5 seconds
D. h(t) = (−8t − 3)(2t − 2); the ball will hit the ground at 1 second
A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The time at which the ball will hit the ground is,
h(t) = −16t² + 10t + 6
0 = -16t² + 10t + 6
8t² - 8t + 3t - 3= 0
8t(t-1)+3(t-1) = 0
(8t+3)(t-1)=0
t = -0.375, 1
Hence, the ball hit the ground at 1 second, while the function in intercept form can be written as h(t) = (−8t − 3)(2t − 2).
Thus, the correct option is D.
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Answer:
The answer above is correct, a teacher confirmed it, and the quiz marked it as correct.
Step-by-step explanation: