The performance rating increased by 2 points 2.04 would happen to the attitude rating.
What is the equation of the line?The slope and the intercept values are given, the equation of a line can be found easily. So, it is also known as the slope and intercept form.
The standard form to represent the equation of a line is as follows:
Given
Managers at a company rate employees on performance and attitude and find that an employee's attitude depends on their performance.
They find a linear relationship and the line of best fit is y = 11. 7 + 1.02x.
The performance rating increased by 2 points what would happen to the attitude rating is;
[tex]\rm = 1. 02 x\\\\=1.02 \times 2\\\\= 2.04[/tex]
Hence, the performance rating increased by 2 points 2.04 would happen to the attitude rating.
To know more about the equation of line click the link given below.
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what is the measure of angle a?
Answer:
Angle ∠A = 40.664°
Step-by-step explanation:
Law of Cosine
An equation is shown below.
2(x-9) = 9 / (- 1/3)
What value of x makes the equation true
Step-by-step explanation:
2(x-9) = 9 (- 1/3)
2x-18=-3
2x=18-3
x=15/2
x=7.5
The value of x that makes the equation true is mathematically given as
x=7.5
What value of x makes the equation true?Question Parameters:
2(x-9) = 9 / (- 1/3)
The question obviously demands that we make x subject of the formula and then take necessary steps to find x
Generally, the equation is mathematically given as
2(x-9) = 9 / (- 1/3)
Therefore
x=15/2
x=7.5
In conclusion, the value of x is
x=7.5
Read more about Arithmetic
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Two birds are flying south for the winter. Bird 1 reaches its destination in 6. 0 hours, while bird 2 reaches its destination in 12 hours. If bird 2 covers twice as much distance as bird 1, what is the ratio of their velocities (bird 1/bird 2)
Answer:
their velocities are identical
Step-by-step explanation:
T1 = 6.0 h and T2 = 12 hours
V1 = d/6 and V2 = 2d/12
so V1 = V2 = d/6
The ratio of velocities of bird 1 and bird 2 is 1, as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line. "
Let, the distance covered by the bird 1 is x km.
Then, the distance covered by the bird 2 is 2x km.
Given, the time taken by bird 1 to reach the destination is 6 hours.
The time taken by bird 2 to reach the destination is 12 hours.
Therefore, velocity of the bird 1 is = [tex]\frac{x}{6}[/tex] km/hour.
Velocity of the bird 2 is = [tex]\frac{2x}{12}[/tex] km/hour = [tex]\frac{x}{6}[/tex] km/hour.
Therefore, the ratio of velocities of bird 1 and bird 2 is
= [tex]\frac{x}{6}[/tex] / [tex]\frac{x}{6}[/tex]
= 1
Learn more about linear equation here: https://brainly.com/question/18125827
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a rabit can run 35 miles per hour.a fox can run 21 miles in half an hour. which animal is faster, an by how much
Answer:
The fox is faster, by 7 miles per hour
Step-by-step explanation:
The fox can run 21 miles in half an hour -> It can run 42 miles in an hour
And the rabbit can run 35 miles per hour, so the fox run fastest by 42-35 = 7(m/h)
Answer:
the fox can run faster by 17 mph!
Step by step explanation:
This problem involves ratios
Our two ratios involve the distance the animals ran (the 35 & 21) and the time it took for them to run that distance (the 1 & 0.5)
So our two ratios are 1:35 (it took the rabbit 1 hour to run 35 miles) and 0.5:21 (it took the fox half an hour to run 21 miles)
But before we start subtracting, we have to take into account the fact that the time periods are not the same!
To start subtracting, we need to 0.5 and 1 to be the same or vice versa, the 1 to be a 0.5
In this case, let’s make the 0.5:21 bigger because it’s often easier to multiply than divide
When we multiply 0.5 by 2, it gets us to 1 so we have to do the same to the 21.
21x2=42
So our new ratio is 1:42
Now we can directly compare the two ratios.
42-35=17
So the fox ran faster by 17 miles
PLEASE AWARD BRAINLIEST I NEED TO LEVEL UP!
Maria just got a raise at work. She was making $9 per
hour, but now she makes 150% of that amount.
Explain how you would find the amount of money Maria
now makes per hour
Rewrite the percent as a decimal by moving the decimal 2 places to the left:
150% = 1.50
multiply her original pay by the decimal:
9 x 1.50 = $13.50
Answer: $13.50
Answer:
Rewrite the percent as a decimal by moving the decimal 2 places to the left:
150% = 1.50
multiply her original pay by the decimal:
9 x 1.50 = $13.50
Answer: $13.50
Step-by-step explanation:
12 divided by 924
show work
Compare the two groups of data. Which statement is true?
A)
the spread of data for Brand A and Brand B are equal
B)
the spread of data for Brand A is 2 chocolate chips greater than Brand B
the spread of data for Brand A is 4 chocolate chips greater than Brand B
D)
the spread of data for Brand A is 6 chocolate chips greater than Brand B
Answer: A
Step-by-step explanation:
That should be the answer
HELP ASAP, PLEASE!!!!
A school is implementing an SAT preparation program. To study the program's effectiveness, the school looks at participants' SAT scores before starting the program and after completing the program. The results are shown in the table:
A B C D E F G
Before 1060 980 1140 1040 1000 960 1200
After 1040 1020 1180 1040 980 1020 1240
Difference 20 -40 -40 0 20 -60 -40
How is the test statistic calculated. (Note that intermediate calculations have been rounded to 2 decimal places.)
Using the t-distribution, as we have the standard deviation for the sample, we have that the test statistic is given by:
[tex]t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}[/tex]
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, that is:
[tex]H_1: \mu \neq 0[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, [tex]\mu = 0[/tex] is tested at the null hypothesis, and the sample is: 20, -40, -40, 0, 20, - 60, -40, hence:
[tex]\overline{x} = -20, s = \sqrt{32.66}, n = 7[/tex].
Hence, the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{-20 - 0}{\frac{\sqrt{32.66}}{\sqrt{7}}}[/tex]
[tex]t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}[/tex]
More can be learned about the t-distribution at https://brainly.com/question/16313918
according to the substitution property of equality, if a=b, then ''a'' may be replaced with ''b''
A. sometimes
B. only once
C. any time
D. at no time
Answer:
c. anytime
Step-by-step explanation:
if it is stated that a = b, then a always equals b
PLEASSEEE ANSWERRR
Consider the following figure where △ABC ~ △DBE.
Triangle A B C contains two points and a horizontal line segment.
The left side of the triangle starts at vertex A, travels up and to the right, and ends at vertex B.
The right side of the triangle starts at vertex B, travels down and to the right, and ends at vertex C.
The bottom side of the triangle is horizontal, starts at vertex A on the left, and ends at vertex C on the right.
Point D is located on side A B but is closer to A than B.
Point E is located on side B C but is closer to C than B.
The horizontal line segment extends from point D and ends at point E.
Given:
CB = 12, CE = 2, AD = 5
Find:
DB
(Hint: Let DB = x, and solve an equation).
Answer: 25
Step-by-step explanation:
PLS PLS PLS HELPP
Translate the figure 7 units to the left and 6 units up, then reflect it across the line X=1
Is the resulting figure similar or congruent to the original figure ? Explain why.
Answer:
Step-by-step explanation:
Figures are congruent, because corresponding angles and sides are congruent.
If UY=s+3 and VX=s, what is the value of s?
Answer:
s = 3
Step-by-step explanation:
s+3 = 2(s)
s+3 = 2s
s = 3.
This question is an example of mid-segment theorem. You take the segment given and you multiply the small segment by 2 and make the small segment equal to the larger segment.
HELP PLEASE!! | A box of granola bars that costs $4.00 is on sale for “buy 2, get 1 free.” What is the true percent of discount on the box of granola bars to the nearest tenth of a percent?
Answer:
75%
Step-by-step explanation:
Solve one ninth divided by eight by rewriting the division problem as a multiplication problem.
Answer:
Step-by-step explanation:
[tex]\frac{1}{9}[/tex] ÷ 8
= [tex]\frac{1}{9}[/tex] * [tex]\frac{1}{8}[/tex]
= [tex]\frac{1}{9*8}[/tex]
= [tex]\frac{1}{72}[/tex]
Now
[tex]\\ \rm\rightarrowtail 1/9\div (8)[/tex]
[tex]\\ \rm\rightarrowtail 1/9(1/8)[/tex]
[tex]\\ \rm\rightarrowtail 1/72[/tex]
Done
y=-5/3+1
y=-1/3-3
help me please
Answer: (3,-2)
Step-by-step explanation:
your welcome
Due in 2 minutes, please help me!
1+2+3+4+5+...+112
Step-by-step explanation:
we can idnetify that it is arithmetic due to it being a linear sequnce. Therefore we find Tn and equate it to the last term to find the number of terms. We then use that to find the sum of the series using the following formula where n is the number of terms, a is the first term and L represents your last term.
[tex] [/tex]
[tex] \rm \: Find \: \frac{dy}{dx} if \: y = sin \: x \degree[/tex]
[tex]\rm \: Hint :y= sin x° = sin( \frac{\pi \: x}{180} )[/tex]
( Convert degree to ratio )
[tex] \: \: \: [/tex]
Thanku:)
Answer:
Given that:
[tex]\longmapsto{ \large{ \rm{y = \sin \:x \degree}}}[/tex]
We know that,
[tex] \dashrightarrow{ \boxed{ \red{ \rm{1 \degree = \left ( \frac{\pi}{100} \right)^{c} }}}}[/tex]
So, using this, above given can be written as,
[tex]{ \large{ \longrightarrow{ \rm{y = \sin \left( \frac{\pi x}{180} \right) }}}}[/tex]
On differentiating both sides w.r.t. x, we get:
[tex]{ \large { \longrightarrow{ \rm{ \frac{d}{dx}y = \frac{d}{dx} \sin \left( \frac{\pi x}{180} \right) }}}}[/tex]
We know that,
[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx} \sin x = \cos x }}}}}[/tex]
So, using the result, we get:
[tex]{ \large{ \longrightarrow{ \rm{ \frac{d}{dx} = \cos \left( \frac{\pi \: x}{180} \: \right) \frac{d}{dx} \left( \frac{\pi \: x}{180} \right) }}}}[/tex]
We know that,
[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx}k \: f(x) = k \frac{d}{dx} \: f(x)}}}}}[/tex]
So, using this, we get:
[tex]{ \large{ \longrightarrow{ \rm{ \frac{dy}{dx} = \cos \left( \frac{\pi \: x}{180} \right) \: \times \: \left( \frac{\pi}{180} \right) \frac{d}{dx} x}}}}[/tex]
We know that,
[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx} x= 1 }}}}}[/tex]
So, using this, we get:
[tex]{ \large{ \longrightarrow{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \: \cos \left( \frac{\pi \: x}{180} \right ) \times 1}}}}[/tex]
Hence:
[tex]{ \large{ \leadsto{ \green{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \cos \left( \frac{\pi \: x}{180} \right) }}}}}[/tex]
OR[tex]{ \large{ \leadsto{ \green{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \cos \: x \degree }}}}}[/tex]
[tex] \: \: [/tex]
Learn More:
[tex] \boxed{\begin{array}{c|c}\bf f(x)&\bf\dfrac{d}{dx}f(x)\\ \\ \frac{\qquad\qquad}{}&\frac{\qquad\qquad}{}\\ \sf k&\sf0\\ \\ \sf sin(x)&\sf cos(x)\\ \\ \sf cos(x)&\sf-sin(x)\\ \\ \sf tan(x)&\sf{sec}^{2}(x)\\ \\ \sf cot(x)&\sf-{cosec}^{2}(x)\\ \\ \sf sec(x)&\sf sec(x)tan(x)\\ \\ \sf cosec(x)&\sf-cosec(x)cot(x)\\ \\ \sf\sqrt{x}&\sf\dfrac{1}{2\sqrt{x}}\\ \\ \sf log(x)&\sf\dfrac{1}{x}\\ \\ \sf{e}^{x}&\sf{e}^{x}\end{array}}[/tex]
A town in america has 2400 families and 4200 cars. What is the family : cars ratio?
Answer:
4 : 7
Step-by-step explanation:
family : car = 2400 : 4200
Simplify by dividing both by 100 ⇒ 24 : 42
Simplify again by dividing both by 6 ⇒ 4 : 7
Cannot be further simplified as 7 is a prime number
Consider an experiment in which the letters "A"
"L"
and "P" are written on 3 separate
slips of paper and placed in a box. Three slips are then drawn randomly one at a time, without
replacement, and the letters appearing on the ships are written down from left to right in the order in
which they are drawn.
Write out the sample space of possible arrangements. After writing the sample
space, what is the probability that the word "PAL" is NOT formed?
0.2 iis the answer you are loooking for when you say pal is not formed
In geometry, what's the Supplementary Angle Theorem?.
Answer:
Sum of two angles is 90°: Sum of two angles is 180°
Complementary Angles: Supplementary Angles
Step-by-step explanation:
The supplementary angle theorem states that if two angles are supplementary to the same angle, then the two angles are said to be congruent.
Divide using long division.
-15x3 + 37x2 - 8x - 6/3x-5
[tex]{\pmb{\bf{Refer \: to \: the \: attachment \: :D}}}[/tex]
What formula is used for calculating volumes of liquids?.
Please Help!!! All my points are on this.
The graph of a sinusoidal function has a maximum point at (0,10) and then intersects its midline at (π/4,4). Write the formula of the function, where x is entered in radians.
F(x) =
Answer:
y = 6 sin(2x+π/2) +4
Step-by-step explanation:
Given:
-sinusoidal function
-maximum point at (0,10)
-intersects its midline at (π/4,4)
Build the function:
y = sin x , we start with this because is a sinusoidal function
y = sin (x+ π/2), to move the maximum on the y-axis where x= 0
y = sin (2x +π/2), to move the midline from π/2 to a π/4 we need
y = 4+ sin(2x+π/2) , to move the midline from (π/4, 0) to a (π/4, 4)
y = 4+ 6 sin(2x+π/2), to move the max at (0,10), -because the midline is at 4 and the function max at 10 we need 10-4 = 6
Susan scheduled 84 appointments for patients at a hospital outreach clinic. Only 56 patients kept their appointment. What fraction of the scheduled appointments were kept?
What’s the inequality notation of 8 - 4x > -4? Here’s the question:
Answer:
>
Step-by-step explanation:
8-4x>-4
4x>8+4
4x>12
x>3
help please. What is the measure of angle A ?
Answer: 132 degrees
Step-by-step explanation:
Solve the math problem
Answer: 1570 m³
Ok done. Thank to me :>
A construction company purchased
246 boxes of bolts. Each box costs $8.
How much did the bolts cost the
construction company?
Answer:
$ 1,968
Step-by-step explanation:
Boxes purchased = 246
Cost of 1 box = $ 8
Cost of 246 boxes
= 246 × 8
= $ 1,968
Hope it helps ⚜
total boxes= 246
each box= $8
to find:the amount the boxes of bolts costed the construction company.
solution:to find how much the boxes costed the company, just multiply total boxes by the cost of each box.
[tex]246 \times 8[/tex]
[tex] = 1968[/tex]
therefore, the amount the boxes costed the construction company is $1968.
Solve this equation for x. 0 = ln (x+7)
Answer:
x = -7
Step-by-step explanation:
If I understand ur question properly its:
0 = 1n (x+7)
seventy concert tickets were sold for $550. each adult ticket cost $9 and each childrens ticket cost $5. find the number of adult tickets and the number of childrens tickets sold
put the equations to :)
Answer:
Total tickets = 70
Total cost = $550
Adult's ticket = $9
Child's ticket = $5
Difference = 9 - 5 = $4
Assume all 70 are child's tickets
5 x 70 = 350
But the total cost was 550
550 - 350 = $200
The $200 must have come from Adult's tickets, which has a difference of $4.
200 ÷ 4 = 50
So there are 50 adult's tickets.
70 - 50 = 20
And there are 20 child's tickets.
Hope this helps - Itz.Jordan
