Answer:
y = -8|x| + 6
Step-by-step explanation:
y = a|x-b| + c; (b,c) = vertex and a = constant
y = a|x-0| + 6 -->
y = a|x| + 6 -->
-2 = a|-1| + 6 -->
-2 = a + 6 -->
-8 = a -->
y = -8|x| + 6
Do you remember the difference between a row and a column
in Math?
Answer:
Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.
Step-by-step explanation:
Kendra is building a back yard fence two of the sides are 43ft, and the other two sides are 57ft. How much fencing does Kendra needs.
Answer: 200ft
Step-by-step explanation:
43+43+57+57=200
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27. Note: After 50 years of age, both the mean and standard deviation tend to increase.
1. For an adult (under 50) after a 12-hour fast, find the probability that x is between 60 and 110. (Round your answers to four decimal places.)
Answer:
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Step-by-step explanation:
Step( i ) :-
Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.
Mean of the Population 'μ' = 83
Standard deviation of the Population 'σ' = 27.
Step(ii):-
Given X =60
[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{60-83}{27} = -0.851[/tex]
Step(iii):-
Given X = 110
[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{110-83}{27} = 1[/tex]
The Probability that between 60 and 110
P(60 < x<110) = P( -0.851 < z< 1)
= P( Z≤1) - P(Z≤ -0.851)
= (0.5 + A(1)) - (0.5- A(-0.851))
= (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)
= 0.8413 - 0.1977
P(60 < x<110) = 0.6436
Final answer:-
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Some Field Experience in the use of an Accelerated Method in Estimating 28-Day Strength of Concrete" considered regressing y =28-day standard-cured strength (psi) against x =accelerated strength (psi). Suppose the equation of the true regression line is y =1800 +1.3x.
a.What is the expected value of 28-day strength when accelerated strength= 2500? (2 marks)
b.By how much can we expect 28-day strength to change when accelerated strength increases by 1 psi? (4 marks)
c. Answer part (b) for an increase of 100 psi. (2 marks)
d. Answer part (b) for a decrease of 100 ps
Answer:
(a) 5,050 psi.(b) 5,051.3 psi.(c) 5,180 psi.(d) 4,920 psi.Step-by-step explanation:
The given function is
[tex]y=1800+1.3x[/tex]
Where [tex]x[/tex] represents the accelerated strength in psi, and [tex]y[/tex] represents 28-day standard-cured strength in psi.
Part a is about finding the y-value for [tex]x=2500[/tex]
[tex]y=1800+1.3(2500)=1800+3250=5,050[/tex]
Therefore, the expected value of 28-day strength when accelerated strength is 2,500, is 5,050 psi.
Part b is about the y-value for [tex]x=2501[/tex]
[tex]y=1800+1.3(2501)=1800+3251.3=5,051.3[/tex]
Part c is about the y-value for [tex]x=2600[/tex]
[tex]y=1800+1.3(2600)=1800+3380=5,180[/tex]
Part d is about the y-value for [tex]x=2400[/tex]
[tex]y=1800+1.3(2400)=1800+3120=4,920[/tex]
· Find (f • g)(x).
f(x) = 3x
g(x) = 5x
Write your answer as a polynomial in simplest form.
(fog)(x) =
The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex] and this can be determined by using the arithmetic operations.
Given :
[tex]f(x) = 3x\\g(x) = 5x[/tex]
The following steps can be used in order to determine the expression of (fog)(x):
Step 1 - Write the given function.
[tex]f(x) = 3x\\g(x) = 5x[/tex]
Step 2 - Now, replace 'x' by g(x) in order to determine the expression of (fog)(x).
[tex](fog)(x)=3\;g(x)[/tex]
[tex](fog)(x)=3\times 5x[/tex]
Step 3 - Simplify the above expression.
[tex](fog)(x)=15x[/tex]
The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex].
For more information, refer to the link given below:
https://brainly.com/question/5245372
how do I simplify this
Answer:Use Distributive property
3.
(07.06)
Which of the following graphs shows all the possible values for a number that is less than 7? (3 points)
Number line with closed circle on 7 and shading to the left.
Number line with closed circle on 7 and shading to the right.
Number line with open circle on 7 and shading to the left.
Number line with open circle on 7 and shading to the right.
Answer:
Number line with open circle on 7 and shading to the left
Step-by-step explanation:
Since 7 is not included in "a number less than 7", the circle at 7 is an open circle.
Numbers less than 7 are to the left of 7 on the number line, so the shading will be in that direction.
Number line with open circle on 7 and shading to the left
Answer:
The third one
Number line with open circle on 7 and shading to the left.
Step-by-step explanation:
I took the test, and I got this right
It takes 6 hours to fill a pool with the inlet pipe. It can be emptied in 12 hours with the outlet pipe. If the pool is 2/3 full to begin with, how long will it take to fill it from there if both pipes are open?
Answer:
4 hours
Step-by-step explanation:
The least common multiple of 6 and 12 is 12. So let's assume the pool has a volume of 12 units.
The inlet pipe fills the pool at a rate of 12 units / 6 hours = 2 units per hour, and the outlet pipe drains the pool at a rate of 12 units / 12 hours = 1 unit per hour.
In total, water is added at a rate of 2 units/hr − 1 unit/hr = 1 unit/hr.
The pool is 2/3 full to begin with, so there's already 8 units of water in the pool, which leaves 4 units empty. At a rate of 1 unit/hr, it takes 4 hours to fill the pool.
if each of the 4 shelves holds 14 movies, how many movies does betty have on her shelving unit? show your work
copy paste this
4x + 6
4(14) + 6 (substituting x = 14)
56 + 6
62
Fill in the table using this function rule.
y= 3x - 3
Answer:
1. -3*-4+3= 15
Y=15
2.-3*-2+3=9
Y=9
3. -3*0+3=3
Y=3
4. -3*2+3= -3
Y= -3
Mr. Lew recorded the average length, in minutes, of phone calls received at work. He recorded the data in the box plots below. A box plot titled Professional Call Length in Minutes. A number line goes from 0 to 11. The whiskers range from 2 to 10, and the box ranges from 3 to 8. A line divides the box at 4. Professional Call Length in Minutes A box plot titled Personal Call Length in Minutes. A number line goes from 0 to 11. The whiskers range from 1 to 11, and the box ranges from 4 to 6. A line divides the box at 5. Personal Call Length in Minutes Which is an accurate comparison of the two data sets? Time spent on professional calls is typically shorter and more consistent than time spent on personal calls. Time spent on professional calls is typically shorter but less consistent than time spent on personal calls. Time spent on professional calls is typically longer but more consistent than time spent on personal calls. Time spent on professional calls is typically longer and less consistent than time spent on personal calls.
Answer:
D
Step-by-step explanation:
i did it
Answer:
A. Time spent on professional calls is typically shorter and more consistent than time spent on personal calls.
Step-by-step explanation:
E D G E N U I T Y 2020
(X-2)2+(y-3)2=16
X+y-1=0
Answer:
1. x=13
2.x=1
Step-by-step explanation:
Find the area of the quadrilateral SHOW WORK
Answer:
area of parallelogram= length of base × perpendicular height
8.7×4.9
= 42.63mm²
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
0 (0,-5)
0 (0, -3)
O (0,3)
0 (0,5)
Answer:
(0,5)
Step-by-step explanation:
f(x) = x^2 + 3x + 5
The y intercept is when x =0
f(0) = 0 + 3*0 + 5
f(0) = 5
(0,5)
What is the base higher and area
Answer:
5
8
20
Step-by-step explanation:
Answer:
Base: 6 units. Height: 4 units. Area: 24 units.
Step-by-step explanation:
To find the base of the parallelogram, it is literally the bottom line of the parallelogram. In this case, it is the line below the x-axis that is also parallel to it. To find the length of the base line, just count the squares between both ends of the line. There are 6 squares, so the base is 6 units long. To find the height of the parallelogram, you count the squares (units) between the bottom and top lines of the parallelogram, both parallel to the x-axis. There are 4 squares between the lines, so the height of the parallelogram is 4 units. To find the area of a parallelogram, multiply the base by the height. 6 * 4 = 24, so the area of the parallelogram is 24 units.
Difference between-9°C and -21°C
Answer:
12
Step-by-step explanation:
21-9=12 hope this helps :)
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Please help!
Answer:
4 in to the nearest whole number.
Step-by-step explanation:
Volume of a cylinder = π r^2 h
Here Volume = 25 in^3 and r = 1/2 * 3 = 1.5 in.
So: 25 = π * 1.5^2 * h
25 = 2.25π h
h = 25 / 2.25π
h = 3.54 in
Mr.Lipps flips a coin 20 times how many times can he expect heads
Answer:
Mr. Lipps would expect it to land on heads 10 times
Step-by-step explanation:
hope this helps :)
A box of chocolates contains five milk chocolates and six dark chocolates. Mike randomly picks a chocolate and eat it. Then Mike randomly picks another chocolate and eats it. Determine the probability Mike eats two milk chocolates. Round to the hundredths place.
Group of answer choices
0.182
0.854
0.133
0.333
Answer:
0.182.
Step-by-step explanation:
There are a total of 11 chocolates in the box.
Prob(First chocolate picked is milk) = 5/11.
Prob(Second chocolate picked is milk) = 4/10 = 2/5.
So the required probability = 5/11 * 2/5
= 10/55
= 0.182.
Which of these tables lists all the possible outcomes of flipping 3 coins? (Each row represents one outcome.) Choose all answers that apply: Choose all answers that apply:
Answer:
Table B
Step-by-step explanation:
The table B shows possible outcomes of flipping 3 coins.
What is Outcome in Experiment?A probability experiment is a test in which we execute a series of trials to determine the likelihood of an event occurring in the future. A probability experiment's results may reveal a previously unknown truth or lead us to learn anything about the likelihood (or chance) of an occurrence occurring in the future.
Given:
If three coins are flipped then the possible outcomes are:
{ HHH,
HHT,
HTH
THH,
TTT,
TTH,
THT,
HTT}
So, there total 8 number of outcomes.
But in table 1 the number of outcomes is 5.
Thus, table B shows possible outcomes of flipping 3 coins.
Learn more about Outcome here:
https://brainly.com/question/17238771
#SPJ3
what is 4848/40404 written as an improper fraction +34422222222 wiil mark brainliset if right
Answer:
675/12
Step-by-step explanation:
The rectangle shown is dilated by a scale factor of 1/5
What is the length of side A'B' and side B'D'?
Answer:
A'B'= 3 cm and B'D' = 1.6 cm
Step-by-step explanation:
First of all, we are told that the scale factor = 1/5
Now,we know that If the scale factor is less than 1, then the dilation is a reduction.
Thus, in this question the dilation is a reduction.
For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor
Thus;
A'B' = AB(1/5)
A'B' = 15(1/5) = 3 cm
B'D' = BD(1/5) = 8(1/5) = 1.6 cm
Thus, The length of each side of the dilated rectangle are;
A'B'= 3 cm and B'D' = 1.6 cm
The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what's is its wavelength.
PLZZ HELP PLZZ ill give thanks n more :(
Wave length = speed / frequency
Wave length = 3x10^8 / 4.11x10^4
Wave length = 7.299x10^3nm
Write the equation of a line that is parallel to {x=8}x=8x, equals, 8 and that passes through the point {(-3,-2)}(−3,−2)left parenthesis, minus, 3, comma, minus, 2, right parenthesis.
Answer:
x = -3
Step-by-step explanation:
The line parallel to x=8 is another vertical line:
x = constant
To make it go through a point with an x-coordinate of -3, the constant must be -3.
Your line is ...
x = -3
Answer:
x=-3
Step-by-step explanation:
khan
find the area of the figures
Step-by-step explanation:
1)Area=36sq.units
2)Area=72sq.units
3)Area=190sq.units
When a number is increased by 84%, the result is 72. What is the original number to the nearest tenth?
Determine the value of x for the triangle. show work.
Answer:
x=5
Step-by-step explanation:
x, x+7, x+8 must be a Pythagorean triple for it to make a right triangle. The only Pythagorean triple fitting these numbers is 5, 12, 13 so x must be 5.
Answer:
5
Step-by-step explanation:
Because this is a right triangle, you know that by the Pythagorean theorem:[tex]\sqrt{(x+7)^2+x^2}=x+8[/tex]
Squaring both sides to get rid of the square root:
[tex](x+7)^2+x^2=(x+8)^2[/tex]
Expanding all of the parentheses:
[tex]x^2+14x+49+x^2=x^2+16x+64[/tex]
Combine like terms:
[tex]x^2-2x-15=0[/tex]
Factor:
[tex](x-5)(x+3)=0[/tex]
Since x cannot be negative, it is equal to 5. Hope this helps!
A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26. Your research objective is to show that the population mean μ exceeds 2.4. Calculate the p-value for the test statistic z = 2.58. (Round your answer to four decimal places.)
Answer:
P-value (t=2.58) = 0.0066.
Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.
As the P-value (0.0066) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the population mean μ exceeds 2.4.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the population mean μ exceeds 2.4.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=2.4\\\\H_a:\mu> 2.4[/tex]
The significance level is 0.05.
The sample has a size n=45.
The sample mean is M=2.5.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=45-1=44[/tex]
This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):
[tex]P-value=P(t>2.5801)=0.0066[/tex]
As the P-value (0.0066) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the population mean μ exceeds 2.4.
Aight so I know the answer is 105° but idk how someone got that answer. Could you help?
Firstly we need to find m<DNY
m<DNY=(60+90)÷2=75
N9w we can find m<KNY
m<KNY+m<DNY=180°(Because these are adjacent corners)
m<KNY+75°=180°
m<KNY=180°-75°
m<KNY=105°
At how many points does the graph of the function below intersect the x-axis?y = 16x^2-8x+1 A.0 B.2 C.1
We need to find D.
D=(-8)²-4×16×1=64-64=0
D=0, so the graph of the function intersect the x-axis at 1 point
Answer: C
