The population of seniors who plan to attend community college is; 115.
Population and Sample sizeAccording to the task content;
It follows that the 50 senior students were surveyed and only 18 wanted to attend community college.On this note, the number of seniors who want to attend community college among the 320 seniors is;
(18/50) × 320 = 115.2.On this note, it follows that the number of seniors who want to attend community college is; 115 seniors.
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1)
В
13
C
105°
7
A
a. 36.2
b40.2
c81.6
d43.9
Answer:
Step-by-step explanation:
Could you update the question? It is not clear enough
help I have to turn this is tomorrow and I don’t know how to do it
Step-by-step explanation:
The area of the triangular base is: 19
square units
How to calculate the base area
The given parameters are:
Volume = 27.36 cubic units
Height = 2.88 unit
The volume of a triangular prism is:
V = 0.5 * B *h
Where B represents the base area.
So, we have:
27.36 = 0.5 * B * 2.88
27.36 B * 1.44 -
Solve for B
B = 19
Hence, the area of the triangular base is: 19 square units
Express the number 68,708 in word form and expanded form.
Word form ?
Expanded form ?
solve for x : -18 = x -17
Answer: X= 306/19
Step-by-step explanation:
12x + 3y = 9 solve for y
Answer:
[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]
Step-by-step explanation:
To solve for y, you have to isolate it on one side of the equation.
12x+3y=9First, you have to subtract by 12x from both sides.
[tex]\Longrightarrow:\sf{12x+3y-12x=9-12x}[/tex]
Solve.
[tex]\Longrightarrow:\sf{3y=9-12x}[/tex]
Then, you divide by 3 from both sides.
[tex]\Longrightarrow:\sf{\dfrac{3y}{3}=\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]
Solve.
[tex]\sf{\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]
[tex]\sf{\dfrac{9-12x}{3}}[/tex]
Use the distributive property.
[tex]\underline{\text{DISTRIBUTIVE PROPERTY:}}[/tex]
⇒A(B+C)=AB+AC9-12x=3(3-4x)
[tex]\sf{\dfrac{3\left(3-4x\right)}{3}}[/tex]
Divide the numbers from left to right.
3/3=1
3-4x
Then, rewrite the problem down.
[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]
Therefore, the correct answer is y=3-4x.I hope this helps! Let me know if you have any questions.
Answer:
y = (3) - (4x)
Step-by-step explanation:
Note: Since there is only one equation given, the value of "y" will not be a fixed value.
Given equation:
12x + 3y = 9Our main goal to solve for "y" is to have the y-variable on one side, and a specific value or variable on the other side (e.g., y = 3 or y = 4x) . Start out by subtracting both sides by 12x. This will isolate the y-variable and it's cooeficient (3).
⇒ 12x + 3y = 9⇒ 12x + 3y - 12x = 9 - 12x⇒ 3y = 9 - 12xOnce the y-variable and the cooeificent of the variable have been isolated, we can divide both sides by the cooeficient to isolate the variable.
⇒ 3y/3 = (9 - 12x)/3⇒ y = (9 - 12x)/3⇒ y = (9 ÷ 3) - (12x ÷ 3)⇒ y = (3) - (4x)Therefore, the value of "y" is 3 - 4x.
Which is an equation for the line that contains the points (-2, 3) and (2, -1)?
Answer:
J
Step 1. Find slope
(-1 - 3)/(2 + 2)
-4/4
m = -1
Step 2. Write equation
y - 3 = -1 (x + 2)
y = -x -2 + 3
y = -x + 1
Answer:
Step-by-step explanation:
First find the slope:
[tex]\frac{-4}{4} =-1[/tex]
This immediately rules out all answers but J.
Colleen is attending a carnival. The price of admission to the carnival is shown. It costs $3 to play a game. Colleen has $35.
A Ferris wheel is shown. Carnival admission is eight dollars.
What is the greatest number of games she can play?
Answer:
9
Step-by-step explanation:
Reduce the admission fee. Then divide the rest with cost per game
35 - 8 = 27
=> 27/3 = 9
this picture represents 1-4 of the distance from maria house to the park which represents the whole distance?
HELP PLEASE! Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20. What is each of their measures?
The measure of each arc is 30.
What is the arc of a circle?The arc of a circle is defined as the part or segment of the circumference of a circle.
Given that, a circle, Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20.
We know that,
Chord Arcs Theorem :-
If two chords in a circle are congruent, then their intercepted arcs are congruent.
2x+20 = 4x+10
2x = 10
x = 5
Therefore,
2(5) + 20 = 30
Hence, the measure of each arc is 30.
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3x−4/5=−1/2
What is the value of x?
hey please i need this really quick
Answer:
the answer of that question is 45
Consider this quadratic equation. 2x2 − 1 = 3x + 4 Which equation correctly applies the quadratic formula?
Answer:
[tex]\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)}[/tex]
Step-by-step explanation:
Quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]2x^2-1=3x+4\\\\2x^2-3x-5=0\\\\\\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)} \\\frac{3+-\sqrt{9+40} }{4}[/tex]
[tex]x = \frac{3+-7}{4}[/tex]
Hope this helps and God bless!
BRAINLIEST! and MAX POINTS! PLUS 200 POINTS FOR A GOOD JOB!!
Given the following numbers:
π,2√5,√8,√3,√27
part A. Approximate the square root terms using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.
Please note pi does not need to be approximated by the perfect squares approximation method as it is not a square root.
part B. Order the numbers from least to greatest. Please show your answer using the original symbols and radicals provided. You may use decimals or fractions as part of your work for figuring it out.
Answer:
Part A)
0.47/1=0.47x100/1x100=47/100\
Part B)
0.47=47/99
Part C)
0.47=47/99
-------------------------------------------------------------------------------------------------------------
this is what I got for the first problem
Part A, 2√5)
5=2.2360679775 5=2x2.2360679775=4.472135955=4.47
Part A, √8)
2 3
V4 8 v9
2 4/5
Part A, √3)
1 2
V1 3 v4
1 2/3 Part A, √27)
5 6
V25 27 v39
5 2/14
-------------------------------------------------------------------------------------------------------------
Part B)
1 2/3 2 3/5 4.47 5 2/14
and this is what I got for the second problem
Step-by-step explanation:
Hope tis helps
What is the base of a parallelogram with an area of 36 square centimeters, if its height is 3 centimeters?
15 cm
33 cm
9 cm
12 cm
PLS HELP ASAP
Answer:
12 cmStep-by-step explanation:
Formula_____________
Area of a parallelogram = base × height
==================================
Area of the parallelogram = base × height
⇔
36 = base × 3
⇔
base = 36/3
= 12
Find the midpoint of the segment with the given endpoints.
G(–4, 4) and H(2, 10)
Answer:
Midpoint (-1,7)
Step-by-step explanation:
To find a midpoint, average the x's and then average the y's (add and divide by 2)
The x-coordinate of the midpoint is: (-4+2)/2
= -2/2
= -1
and the y-coordinate is:
(4+10)/2
= 14/2
= 7
So the midpoint is:
(-1,7)
Answer:
(-1, 7)
Step-by-step explanation:
Midpoint of a line segment
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}[/tex]
[tex]\textsf{let}\:(x_1,y_1)=(-4,4)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(2,10)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{2+(-4)}{2},\dfrac{10+4}{2}\right)=(-1,7)[/tex]
The function f is defined by f(x) = x^2 + 3x -10 , if f(x + 5) = x^2 + kx + 30, k=
Answer:
k = 13
Step-by-step explanation:
substitute x = x + 5 into f(x) , that is
f(x + 5) = (x + 5)² + 3(x + 5) - 10 ← expand squared factor using FOIL
= x² + 10x + 25 + 3x + 15 - 10
= x² + 13x + 30
compare this with f(x + 5) = x² + kx + 30
for the 2 expressions to be equal , then k = 13
if a+ b = 5 ( a and b positive), find the maximum value of a² + b²
Answer:
2 for A, 1 for B
The tiny floating two means multiply the number by itself, so;
[tex]2 * 2 = 4[/tex]
[tex]1 * 1 = 1[/tex]
Add the two together.
[tex]4 + 1 = 5[/tex]
Good people I critically need an assistance with great pleasure!!
Answer:
(y + 3)² - 8
Step-by-step explanation:
y² + 6y +1
Step 1: Divide the co efficient of y by 2
6 ÷2 = 3
Step2: Now find the square of 3
3² = 9
Step3: Add and subtract 9
y² + 6y + 9 - 9 + 1 = y² +6y + 9 - 8
= y² + 2*y*3 + 3² - 8
Compare y² +2 * y*3 + 3² with a² +2ab + b²
= (y + 3)² - 8
(Pls need help ASAP) Willing to give 10 points for 1 question)
Answer:
D. {(1,2) , (2,3) , (3,4) , (4,5)}
Step-by-step explanation:
Functions are relations with one output for any unique input. Relations that pass the vertical line test have one output for each input. In this case, D was the only set that met the criteria.
Mary is 63.5 inches tall and her sister Tonya is 70 inches tall. Tonya wants to know how many inches taller she is than Mary. Which equation and solution can be used to solve this problem?
x + 70 = 63.5: Subtract 70 from both sides. The answer is 6.5 inches.
63.5 + x = 70: Subtract 63.5 from both sides. The answer is 6.5 inches.
x minus 63.5 = 70: Add 63.5 to the left side and subtract 63.5 from the right side. The answer is 6.5 inches.
63.5 minus x = 70: Subtract 63.5 from both sides. The answer is 6.5 inches.
Answer: second option
Step-by-step explanation: Mary's age plus X = 70
63.5 + X = 70
Subtract 63.5 from both sides
X = 70 -63.5
Answer 6.5
Please help!! A red block and a block are on a scale right. The red block weighs 9 ounces. The total weight of both blocks is 16 ounces. Which inequality best represents b, the possible weight of the blue block in ounces?
Answer:
b ≤ 7
Step-by-step explanation:
Given that:
A red block and a blue block are on a scale. The red block weights 9 ounces. The total weight of both blocks is 16 ounces.
To Find:
Which inequality best represents b, the possible weight of the blue block in ounces?
Knowing that;
< ⇒ less than
> ⇒ Greater than
≤ ⇒ less than or equal to
≥ ⇒ greater than or equal to
Solve:
Since the total blocks is 16 ounces that means it can't be pass 16 also known as can't be greater than. As well as, it given us that the red block weight 9 ounces that means
16 - 9 = 7
which given us that it must be equal to 7 or less than 7 to make it true.
Thus,
b ≤ 7
Kavinsky
A dog is leashed to a point in the center of a large yard. If the leash is 18.8 feet long, what is the total area of the region the dog is able to explore? Round to the nearest tenth.
Worth 25 points!! pls hurry I have a test
Answer:
1109.8 square feet
Step-by-step explanation:
In this case, assume the leash to be the radius of the circular yard.
Area
πr²3.14 x (18.8)²3.14 x 353.441109.8 square feetA bag contains 8 red marbles, 4 blue marbles and 2 green marbles. If two marbles are
drawn out of the bag, what is the exact probability that both marbles drawn will be
red?
Answer:
Step-by-step explanation:
A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter. The letters D ,Z G , and and the digit 8 will not be used. So, there are 23 letters and digits that will be used. Assume that the letters can be repeated. How many employee ID codes can be generated?
The number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is the n!.Here, n is the number of objects.
A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter.
The letters D ,Z, G and Z and the digit 8 will not be used. So, there are 23 letters and 9 digits that will be used. The letters can be repeated.[tex]\text{Each code=Two latter + One digit}[/tex]
The first letter is chosen from the 23 letters in 23 number of ways. As letters can be repeated, thus second letter chosen from 23 letters in 23 ways.
One digit can be chosen from the 9 digits in 9 different ways. The last letter can also be chosen in 23 ways. Thus, the number of times employee ID codes can be generated is,
[tex]n=23\times23\times9\times23\\n=109503[/tex]
Thus, the number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.
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The sum of the measures of the interior angles of a polygon is given. How
many sides does the polygon have?
3) 3060
4) 6480
Sides:
Sides:
Answer:
19sides if sum is 3060
38sides if sum is 6480
When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 136 days by 7 workers. How many days would it take to build a similar house with 34 workers
Answer:
it would take them 4 days to build the house
What is the most important question jamir needs to consider before he agrees to a lease? will he enjoy driving his new car? will he be able to stay under the 15,000 miles per year limit? will he be able to afford his $432 payment? will he be able to come up with the $2,500 down payment?
Answer:
Answer is B. Will he be able to stay under the 15,000 miles per year limit?
Step-by-step explanation:
Just took the tes
Answer:
B. Will he be able to stay under the 15,000 miles per year limit?
Step-by-step explanation:
I need help like a lot
i just want the points but if i do some math based off of the question i think its C
what is the area of a circle with a diameter of 4cm
please respond with full work too! pls and ty
{for a BIG test}
for algebra topic: reflections
Answer:
Are of a Circle = pie x radius squared
Step-by-step explanation:
A = 3.14*2squared
A = 3.14*4
A = 12.56
Determine the total annual fica tax for an annual salary of $38,480. a. $294.37 b. $717.96 c. $2,385.76 d. $2,943.72
The total annual fica tax for an annual salary of $38,480 is: d. $2,943.72.
Total annual FICA taxFICA tax comprises of:
Social security= 6.2%
Medicare=1.45%
Hence:
Social Security=$38,480 x 0.062
Social security =$2,385.76
Medicare= $38,480 x 0.0145
Medicare=$557.96
FICA tax=$2,385.76+$557.96
FICA tax=$2,943.72
Therefore the total annual fica tax for an annual salary of $38,480 is: d. $2,943.72.
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Answer:
D
Step-by-step explanation: