3x+2=14 what number makes the equation true?
Answer:
Step-by-step explanation:
3x+2=14 subtract 2 from both sides
3x=12 divide both sides by 3
x=4
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1051 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 19 and a standard deviation of 4.7. It is assumed that the two tests measure the same aptitude, but use different scales.
Required:
a. If a student gets an SAT score that is the 62-percentile, find the actual SAT score.
b. What would be the equivalent ACT score for this student?
c. If a student gets an SAT score of 1563, find the equivalent ACT score.
Answer:
The answer is "1110, 20.4, and 31.408"
Step-by-step explanation:
For point a:
Given:
[tex]\to mean\ ( \bar{x})=1051\\\\\to standard \ deviation \ (\sigma)=194\\\\\to P(Z<=z)=0.62\\\\\to z=0.3055\\[/tex]
Calculating the SAT score:
[tex]=1051+0.3055 \times 194 \\\\ =1110.267 \approx 1110[/tex]
For point b:
Given:
[tex]\to mean \ \bar{x}=19\\\\ \to standard \ deviation \ (\sigma) =4.7\\\\[/tex]
Calculating the equivalent ACT score:
[tex]=19+0.3055 \times 4.7 \\\\ =20.43585 \approx 20.4[/tex]
For point c:
[tex]\to SAT \ Score =1563\\\\\to z=\frac{(1563-1051)}{194}= \frac{512}{194}=2.64\\\\[/tex]
Calculating equivalent ACT score:
[tex]=19+2.64 \times 4.7 \\\\=31.408[/tex]
increase 2 hour 30 minute by the ratio of 6:5
Answer:
we get 180 minutes; this is equivalent to 3 hours
Step-by-step explanation:
Solving this problem is easier if we convert 2 hr 30 min to min: 150 min.
In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.
We write and solve an equation of ratios:
6 x
--- = ------ This becomes 5x = 900 through cross multiplication.
5 150
solving this for x, we get 180 minutes; this is equivalent to 3 hours.
The time taken should be 180 minutes or 3 hours.
Calculation of the time taken:
Since there is an increase of 2 hours 30 minutes by the ratio of 6:5
So here we convert 2 hr 30 min so it comes 150 min.
Now the time taken should be
5x = 900
x = 150 minutes
hence, The time taken should be 180 minutes or 3 hours.
Learn more about time here: https://brainly.com/question/15844891
Shade 12 squares on the 4-by-10 grid.
What percent to is shaded?
On a 10 by 4 grid, there would be 40 squares. If you were to shade 12 of those squares, it can be shown as the fraction:
[tex]\frac{12}{40}[/tex]
12/40 = 0.3
to get a percentage, we would have to multiply by 100
30% is to be shaded
Answer: 30%
Step-by-step explanation:
Total number of squares: 4*10=40
Shaded squares: 12
Fraction of shaded squares: 12/40
If you make the denominator 100, then the numerator is the percentage:
[tex]\frac{12}{40} * \frac{2.5}{2.5}=\frac{30}{100}[/tex]
Please help thank you if you do
4/5 z = 2/7
7×4×z = 2× 5 (move the denominator of both fractions to the other side)
28z = 10
z = 10 ÷ 28
z = 5/14
Answer: The answer your looking for is 5/14
Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.
Sally has 21 books sam has 24 time books than Sally how many books does Sam have
Can you delete my comment? I made a mistake-
Sally's books = 21
Sam's books
= 24 times Sally's books
= 24 times 21
= 24 × 21
= 504
Please help will give brainliest.
Answer:
13 petunias
Step-by-step explanation:
13x7=91
9x8=72
add them and you get 163
21 divided by 4,857 with remainder
Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them. What’s the independent and dependent variables ?!?!!
nariz :( jsjsjs f kmambsudbe
y = -3x + 5? *
What’s the slope of the equation y =-3x+5
Answer:
The slope is -3
Step-by-step explanation:
The formula is y= mx + b
m = slope
b= y intercept
Therefore, the slope is -3
Find the area of a square with sides of length 1 /3 yard. pls help
Answer:
1/9 yards ^2
Step-by-step explanation:
[tex]\frac{1}{3}^2 =\\\frac{1}{3} * \frac{1}{3}=\\\frac{1}{9}[/tex]
What is the slope of the following equation of a line? 2x + 3y = 12
Answer:
m = -2/3
Step-by-step explanation:
2x + 3y = 12
-2x. -2x
3y = -2x + 12
÷3. ÷3. ÷3
y = -2/3x + 4
m = -2/3
each of two equal angles is twice the third angle. find the angle of triangle.
Answer:
45 degrees each and 90 degrees
Teresa's restaurant bill comes to $29.99 before tax. If the sales
tax is 6.25%, what is the total cost of the meal (including tax)?
WILL MARK BRAINLIEST
Which value of x makes x-3/4 + 2/3 = 17/12 true?
Answer:
3/2Step-by-step explanation:
Let's solve your equation step by step:
Step 1: Simplify both sides of the equation.
x-3/4+2/3=17/12
x+-3/4+2/3=17/12
(x)+(-3/4+2/3)=17/12 (Combine like terms)
x+-1/12=17/12
Step 2: Add 1/12 to both sides
x+-1/12+1/12=17/12+1/12
x=3/2
The question below give me used to determine h, The high in feet of a model rocket t seconds after it is launched from a roof that is 48 feet in height.
H=-16t^2+128t+48
Which equation reveals the maximum height reached by the model rocket?
Choices/answers^^
Answer: the answer is B.
Step-by-step explanation:
The correct equation which reveals the maximum height reached by the model rocket is,
h = - 16 (t + 4)² - 304
What is Quadratic equation?
An equation of order 2 in highest variable is called a Quadratic equation.
Given that;
The equation is,
H = -16t² + 128t + 48
Now, The equation which reveals the maximum height reached by the model rocket is find as;
H = -16t² + 128t + 48
h = -16(t² + 8t) + 48
h = -16 (t² + 8t) + 256 - 256 + 48
h = -16 (t² + 8t + 16) + 256 + 48
h = -16 (t + 4)² + 304
Thus, The correct equation which reveals the maximum height reached by the model rocket is,
h = - 16 (t + 4)² - 304
Learn more about the quadratic equation visit:
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when doing the increasing function do we use the exact point?
Answer:
Step-by-step explanation:
According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
Hope this helps!!
The graphs below have the same shape. What is the equation of the blue graph? 
Answer:
c
Step-by-step explanation:
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!
Instructions
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 6 inches
Width: 2 and a half inches
Height: 12 inches (1 foot)
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of 1/10?
Answer:
I chose a box of cereal-------> rectangular prism
see the attached figure
Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 20 cm
Width: 8 cm
Height: 32 cm
Part 2).
Describe the shape of the cross-section when the box is cut parallel to the base
the shape of the cross-section would be a rectangle of dimensions
20 cm x 8 cm
Part 3)
What is the surface area of the box?
surface area=2*area of the base+perimeter of the base*height
area of the base=20*8=160 cm²
perimeter of the base=2*[20+8]-----> 56 cm
height=32 cm
surface area=2*160+56*32------> 2,112 cm²
the answer part 3) is
2,112 cm²
Part 4)
What is the surface area of the box if it is scaled up by a factor of 10?
we know that
surface area of the larger box=[scale factor]²*surface area original box
scale factor=10
surface area original box=2,112 cm²
so
surface area of the larger box=10²*2,112-----> 211,200 cm²
the answer part 4) is
211,200 cm²
Part 5)
What is the volume of the box?
volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³
the answer Part 5) is
5,120 cm³
Part 6)
What is the volume of the box if it is scaled down by a factor of 1/10
we know that
volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
Step-by-step explanation:
Answer:
541/2 square
Step-by-step explanation:
we know that
the volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is 541/2 square
Fill in the blank 5x20=5x2x blank
Answer:
5×20 = 5×2×_
100 = 10×_
100 = 10 × _10_
ans 10
Item 9
John has $50 in his bank account. He gets his usual allowance of $20 and mows two lawns,eaming $10 each. He puts that money in the bank
Then John spends $45 on a video game
How much money does he have after that purchase? Use the number line to help you find the answer
Answer:
$45
Step-by-step explanation:
bank account=$50
Allowance=$20
mows two lawns at $10 each=$20
$50+$20+$20=
money in bank=$90
video game=$45
$90-$45=$45
10 20 30 40 45
·___ _ ·_∩_·∩__∩·_∩_∩_·___·_ ·__·___·___·___·___·__
$100 90 80 70 60 50 45 40 30 20 10 0
Answer and solution and thank you for answer
Answer:
C is the answer not sure
Step-by-step explanation:
asap! add the formula too please!
Answer:
Step-by-step explanation:
use the graph of each function to estimate the indicated function values. Then confirm the estimate algebraically. Round to the nearest hundredth, if necessary
Answer:
c)
Step-by-step explanation:
çünkü öyle olmalı
differentiate between Charles babbage's and Alan turing's computer designs
Whats the slope to this.
Giving brainliest. Correct answer
Answer:
m=-25
Step-by-step explanation:
m=Δh/Δt
(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)
m=(4500-5000)/(20-0)
m=-500/20
m=-25
PLZZ HURRY I am being timed
Henry divided his socks into five equal groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if s = 20?
A) StartFraction s Over 5 EndFraction; when s = 20, the number of socks in each group is 4.
B) StartFraction s Over 5 EndFraction; when s = 20, the number of socks in each group is 15.
C) s minus 5; when s = 20, the number of socks in each group is 4.
D) s minus 5; when s = 20, the number of socks in each group is 15.
Answer:
so for each group just multiply the number of socks in each group to 5 and = s
so
1. s = 4x5
s = 20
Step-by-step explanation:
A. S/5; when S=20, the number of socks in each group is 4.
Answer:
It's A
Step-by-step explanation:
2x+3y=12
if y=8
what is x
Answer:
-6
Step-by-step explanation:
2x + 3(8) = 12
2x + 24 = 12
2x = 12 - 24
2x = -12
x = -12/2
x = -6
what is the meaning of XII in roman numeral
Answer:
its 12 in mathematics....
Regina have 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go into each bag?
Answer:
(3×25)÷5=15
hope it helps you
please mark me as brainlist
Answer:
15
Step-by-step explanation:
first, you add all the marbles 25 x 3 = 75 then you divide by 5 which you get 15