Answer:
4
Step-by-step explanation:
Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.
Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.
The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of seven hours. Suppose we select a random sample of 125 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours
There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours
Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size[/tex]
Given that μ = 20, σ = 7, n = 125.
For x = 19.25:
[tex]z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62[/tex]
From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%
There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours
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What is the end behavior of the function f(x)=−3/4x^2?
Answer:
[tex]f(x)\longrightarrow-\infty[/tex], as [tex]x\longrightarrow+\infty[/tex]
Step-by-step explanation:
We can see that the larger the input, the smaller the output
juan saves 12 the first week of the year. he increase the amount each week by 4, write a function that represent the sequence
Answer:
12,16,20,24,28,32,36,40 (continue to add 4)
Step-by-step explanation:
A function that represents the given sequence is f(n) = 4(2+n).
What is an arithmetic sequence?A sequence in which the difference between any two consecutive terms is the same is known as an arithmetic sequence.
Given that, Juan saves 12 in the first week of the year, and increases the amount each week by 4, therefore, the difference between the amount of any two consecutive weeks is 4.
Hence, it represents an arithmetic sequence with the first term a₁ = 12 and the common difference d = 4.
The nth term of an arithmetic sequence is given by:
aₙ = a₁ + (n-1)d
Substitute a₁ = 12 sand d = 4 into the above equation:
aₙ = 12 + (n-1)4
= 12 +4n -4
= 8 + 4n
= 4(2+n)
Hence, a function that represents the given sequence is f(n) = 4(2+n).
Learn more arithmetic sequences here:
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The diagonal of a rectangle big-screen TV screen measures 152cm. The length measures 132cm. What is the height if the screen?
Answer:
75.36cm
Step-by-step explanation:
We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;
height = [tex]\sqrt{5680} = 75..36 cm[/tex]
4x+4 =
What is the answer to this please help
Answer:4(x+1)
Step-by-step explanation:
4x+1
Gabe has a savings account at the local bank. He deposits $150 in his account every 2 months. Which equation models the relationship between the months that deposits are made, x, and the amount of money deposited in the account, y?
Answer:
y=150(x/2)
Step-by-step explanation:
y = 150(x/2)
y represents the amount of money that is deposited into Gabe's account. x represents the amount of time he is adding money for.
x is divided by 2 because however long gabe has been adding money into his account, he does it every 2 months. This means that if x = 12 (time = 12 months) , then Gabe has only made (12/2) = 6 deposits of $150. If x = 4 (time = 4 months), then Gabe would have only made (4/2) = 2 deposits of $150.
With this being said, 150 is being multiplied by the number of deposits (x/2) to find the total amount of money deposited (y).
Write 0.511 as a fraction.
Answer:
511 / 1000
Step-by-step explanation:
0.511 = 511 / 1000
Answer:
511/1000Step-by-step explanation:
Steps to convert 0.511 into a fraction:
Write 0.511 as 0.511/1
For each digit following the decimal point, multiply both the numerator and denominator by ten:
0.511/1
= 0.511 * 1000/ 1 * 1000 = 511/1000As an aside, the entire number-integral section is: blank.
The decimal component is as follows: 0.511 = 511/1000
The following is the complete breakdown of simple fractions: 511/1000
Can someone help me with both questions I will mark u brilliant
1. First, he will be climbing 10,000 feet from where he is right now. 10,000 / 1,000 = 10.
-3.6 x 10 = 36 degree decrease.
25 - 36 = -11
At 12,000 feet, the temperature will be -11.
2. First, we need to do 8.80 x 7 = 61.6
61.6 / 4 = 15.4
61.6 - 15.4 = 46.2
He has $26.20 left.
Hope this helps!
If $3000 grows to $3540 after 3 yr, find the simple interest rate
Answer:
R = 6%
Step-by-step explanation:
We know that
SI = A - P
SI = 3540 - 3000
SI = $540
R = 100 × SI/P × T
R = 100 × 540/3000 × 3
R = 54/9
R = 6%
S O L U T I O N:
Here we've been provided with the information i.e
Amount (A) = 3540Principal amount (P) = 3000 Time period (T) = 3 yearsAnd we are asked to calculate simple interest rate (R) = ?
The standard formula to calculate is given by,
[tex]:\Rrightarrow\sf{S.I. = A - P}[/tex]
[tex]:\Rrightarrow\sf{S.I. =3540 - 3000}[/tex]
[tex]:\Rrightarrow\sf{S.I. =540}[/tex]
[tex]:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}[/tex]
[tex]:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}[/tex]
[tex]:\Rrightarrow\sf{R = \frac{54}{9} }[/tex]
[tex]:\Rrightarrow\sf{R = 6\%}[/tex]
The simple interest is 6%.A recipe calls for 3/4 of a cup of flour to make 5/8 of a pound of bread
dough. How many cups of flour are needed to make 1 pound of dough?
Show your work and write your answer in simplest form.
Answer:
[tex]\huge\boxed{\sf 1 \ pound \ of \ dough = 1\frac{1}{5} \ cup \ of \ flour}[/tex]
Step-by-step explanation:
[tex]\displaystyle \underline{Given \ that:}\\\\\frac{5}{8} \ pound \ of \ dough = \frac{3}{4} \ cup\ of \ flour\\\\Multiply \ 8 \ to \ both \ sides\\\\5 \ pounds \ of \ dough = \frac{3}{4} \times 8 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 3 \times 2 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 6 \ cups \ of \ flour\\\\Divide \ both \ sides \ by \ 5\\\\1 \ pound \ of \ dough = \frac{6}{5} \ cup \ of \ flour\\\\\boxed{1 \ pound \ of \ dough = 1\frac{1}{5} \ cup \ of \ flour}\\\\[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Write the equation to the line parallel to y= 3x – 5 that goes through the point (-2, -7) using any form.
Thank you!
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 5 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (- 2, - 7 ) into the partial equation
- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1
y = 3x - 1 ← equation of parallel line
a lab has two bacterial cultures. culture a contains 4 x 10^4 and culture b contains 8x10^6 bacteria. how many times greater is culture b than culture a
The value of the digit 2 in 425.3 is *
Answer:
20 which is twenty
Step-by-step explanation:
searched it up on chrome
3] What is - 2y + 10 + 2y - 8 simplified?
a) – 4y + 18
C) 18
b) 4y + 2
d) 2
Expressions
Answer:
d. 2
Step-by-step explanation:
-2y +10+2y-8
10-8. ( -2y+2y = 0)
2
Answer:
d) 2
Step-by-step explanation:
We can first combine like terms
-2y + 2y = 0
Now, our expression is simply 10 - 8, which is 2
So, the answer is
d) 2
Find the length of the third side of the right triangle.
The length of the third side is ____
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
15
Step-by-step explanation:
17 squared minus 8 squared it is the pythagorean theorem but backwards. c squared minus b squared equals a squared. in this case a is b. 17 times 17 is 289 and then subtract 8 squared or 64 to get 225. then we need to find the squared root of 225 which is 15 and this is the answer
A customer purchased 3 pairs of jeans for $94.50. If each pair of jeans costs the same amount, write an equation and then solve for the amount a single pair of jeans costs
Answer:
One pair of jeans will cost $31.50
Step-by-step explanation:
To find how much one pair of jeans will cost let's write an equation
where the cost of one pair of jeans is x
∴ 3×x=94.50
to find x we will divide both sides by 3
∴3÷3×x=94.50÷3
which makes the equation
∴x=31.50
meaning that one pair of jeans costs $31.50
What is the equation for the line in slope-intercept form? 20 18+ Enter your answer in the box. 16+ 14+ 112+ NO+ 6 4 2 - 20-18 -16-14-12-10 -9 -6 -4 4 6 8 -20 -27 10 12 14 16 18 20 -4- -B -8 -10 -12+ -14H -16+ -18+ -20+
The slope of the line represents that the remainder of the goal decrease by 8 for each card sold.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The line passes through the point (1, 8) and (2, 16), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-8=\frac{16-8}{2-1}(x-1)\\\\y=8x[/tex]
The equation of the line is given by y =8x
Find out more about linear equation at: https://brainly.com/question/14323743
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Recall the method that the video showed to solve Gavin’s word problem. The video showed how we can use numerical expressions (with the help of a diagram) to arrive at a solution.
Compare the expression method from the video with the equation method that uses the variable b. Do both methods use the same sequence of operations?
Answer:
There are three ways to solve systems of linear equations in two variables: graphing. substitution method. elimination method.
Step-by-step explanation: hope this helps :)
Select the graph that correctly translates ƒ(x) = |x| 4 units in the negative x-direction and 3 units in the positive y-direction.
Answer:
it would be the last one
Step-by-step explanation:
lmk if you want an explanation
The function f is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
f(x) = 1/2(x-5)^2-2
f(x)= 1/2(x -3) (x -7)
f(x) = 1/2x^2-5x+21/2
Write one of the zeros
Answer:
a) best form: (b) f(x)= 1/2(x -3) (x -7)
b) zeros: x=3, x=7
Step-by-step explanation:
The factored form most quickly tells you the zeros of the function. The zeros are the values of x that make the factors zero: the opposite of the binomial's constant.
f(x)= 1/2(x -3)(x -7) reveals the zeros to be x=3 and x=7
Answer:
khan
Step-by-step explanation:
A= 1/2bh
solve for b
Ok done. Thank to me :>
Answer:
A = bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by h )
b=2A/H
Step-by-step explanation:
Solve for g. Make sure to use scrap paper to show your work.
( 144 + 6 x 8 ) ÷ 3 = g
192
64
48
NO NOT PUT THIS IN A FILE
Answer:
64
Step-by-step explanation:
P E D M A S
() ² ÷ × + -
6 x 8 = 48
114 + 48 = 192
(192) ÷ 3 = g
192 / 3 = 64
g = 64
Does a quadratic polynomial have a degree of to
Answer:
Idioet duh it does.
Step-by-step explanation:
Can you identify a parallel or perpendicular equation and type the correct code? Please remember to type in ALL CAPS with no spaces.
The equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].
Let be a line whose equation is:
[tex]a\cdot x + b\cdot y = c[/tex] (1)
Whose explicit form is:
[tex]y = -\frac{a}{b} \cdot x +\frac{c}{b}[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.The slope and x-intercept of the line are [tex]-\frac{a}{b}[/tex] and [tex]\frac{c}{b}[/tex], respectively.
There are two facts:
A line is parallel to other line when the former has the same slope of the latter.A line is perpendicular to other line when the former has a slope described the following form ([tex]m_{\perp} = -\frac{1}{m}[/tex]), where [tex]m[/tex] is the slope of the former.Then, the equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].
To learn more on lines, we kindly invite to check this verified question: https://brainly.com/question/2696693
Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.
Answer:
inequality form: x<-7 or x> 17
Step-by-step explanation:
Piper is located at (3, -12) on a map. Bobbi is located at
(3, 2). How far apart are they?
Check the picture below.
(b) A sum of money was to be shared among three friends Keisha, Tracey, and Kerry-Ann, in the
ratio 7:9:11 respectively. If Kerry-Ann received $3,300.00, find the sum of money that was
between the three friends.
The sum of money that was shared between the three friends is $8100
The ratio at which the money was shared = 7 : 9 : 11
Total ratio = 7 + 9 + 11
Total ratio = 27
Amount received by Kerry-Ann = $3300
Let the total amount shared by the three friends be T
Amount received by Kerry-Ann = (11/27) x T
3300 = 11T / 27
11T = 27(3300)
11T = 89100
T = 89100/11
T = 8100
The sum of money that was shared between the three friends is $8100
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Help with the answer
Answer:
3 6/7
Step-by-step explanation:
Absolute value is the distance a number is away from 0 on a number line; another way of thinking about absolute value is that it is the positive version of every number. So, the absolute value of -1 is 1, and the absolute value of 88 is 88. We can apply this rule to 3 6/7 - how far is it away from 0 on the number line? What is it as a positive number? Well it is 3 6/7 away from 0 on the number line, and it already is positive, so our final answer will be 3 6/7.
Hopefully that's helpful! :)
[tex]|3\frac{6}{7}|=3\frac{6}{7} =\frac{27}{7}[/tex]
ok done. thank to me :>
I need help on this question pls
Answer:
t = 17.5 f = 12
Step-by-step explanation:
If MNOP is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:
[tex]90 = 4t + 20[/tex]
and
[tex]90 = 7f + 6[/tex]
Then solve both equations:
[tex]90 = 4t + 20 \\ 70 = 4t \\ 17.5 = t[/tex]
and
[tex]90 = 7f + 6 \\ 84 = 7f \\ 12 = f[/tex]
I hope that helps!
Consider the circle centered at the origin and passing through the point (0, 2).
(a) Give the equation of the circle.
(b) For each point, decide whether or not it is on the circle. Is the point on the circle? (look at the image I attached)
Answer:
x^2+y^2=4, yes, no, yes, no
Step-by-step explanation:
a) It's centered at the origin, which means that the equation is x^2+y^2=r^2, right? Then since point (0,2) is on the circle, its radius can be solved using Pythagoras theory, r=sqrt(0^2+2^2)=2, so the equation is x^2+y^2=4.
b) You plug the points into the equation and if the equation is true, they're on the circle. I'll give you an example of the first two.
([tex]\sqrt{3},1[/tex]): so x=[tex]\sqrt{3}[/tex], y=1. When you bring that into the equation you got in (a), it would be 3+1=4, which is true, which means that the point is on the circle.
(4,0): so x=4, y=0. When you bring that into the equation you got in (a), it would be 16+0=4, which is not true, which means the point isn't on the circle.
