Answer:
General equation of a line is given by y = mx +c, where m is the gradient /slope, c is the intercept. To find for the intercept on y- axis, put x = 0.[tex]y = \frac{6(0)}{5 } + 27 \\ y = \frac{0}{5} + 27 \\ y = 27 \\ therefore \: the \: intercept \: on \: y \: is \: 27 \\ [/tex]By comparison, [tex]y = mx + \: c \\ y = \frac{6}{5} x \: +27 \\ m = \frac{6}{5 \: } \: \\ hence \: slope \: is \: \frac{6}{5} [/tex]Cricket chirps: Temperature Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is the random variable representing temperature (F). These data are also available for download at the online study center.X 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1Y 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0X 15.4 16.2 15.0 17.2 16.0 17.0 14.4Y 69.4 83.3 79.6 82.6 80.6 83.5 76.3Complete parts (a) through (e), given ?x= 249.8, ?y=1200.6, ?x^2= 4200.56, ?y^2= 96,752.86, ?xy= 20,127.47 and r = 0.835.A) Draw a scatter diagram displaying the data.B) Find X- bar, Y- bar, a and b. Then find the equation of the least squares line y=a+bx.C) Graph the least squares line on your scatter diagram. Be sure to use the point ( X-bar, Y- bar) as one of the points on the line.D) Find the value of the coefficient of determination r ^2. What percentage of the variation in y can be explained by the corresponding variation in x and the least squares line? What percentage is unexplained?E) What is the predicted temperature when x= 19 chirps per second.
Answer:
Kindly check explanation
Step-by-step explanation:
Using technology on the data above, the least square regression equation obtained is ;
y = 33.4528+2.7975x
Where, slope = 2.7975 ; Intercept = 33.4528
x = chirps per second, independent variable
y = temperature, predicted variable.
The Correlation Coefficient, r = 0.71
The Coefficient of determination, r² = 0.71² = 0.5041
The percentage of variation in y due to regression is the r² value, which is about 50.41%
Hence, the percentage variation in temperature due to the regression line is 50.4, while the rest is due to other factors.
Predicted temperature, y when x = 19 ;
Put x = 19
y = 33.4528+2.7975(19)
y = 86.60°
Given: g(x) = x - 4 and h(x) = 2x - 8. What is g(h(1011?
Answer:
[tex]g(h(1011)) = 2010[/tex]
Step-by-step explanation:
Given
[tex]g(x) = x - 4[/tex]
[tex]h(x) =2x - 8[/tex]
Required
[tex]g(h(1011)[/tex]
First, we calculate [tex]g(h(x))[/tex]
[tex]g(x) = x - 4[/tex]
Substitute h(x) for x
[tex]g(h(x)) = h(x) -4[/tex]
Substitute [tex]h(x) =2x - 8[/tex]
[tex]g(h(x)) = 2x - 8 -4[/tex]
[tex]g(h(x)) = 2x -12[/tex]
Substitute 1011 for x
[tex]g(h(1011)) = 2*1011 -12[/tex]
[tex]g(h(1011)) = 2022 -12[/tex]
[tex]g(h(1011)) = 2010[/tex]
Answer:
6
Step-by-step explanation:
just did it on egde 2021
A + B + C = 4
step by step please
Step-by-step explanation:
Let's solve for a.
a+b+c=4
Step 1: Add -b to both sides.
a+b+c+−b=4+−b
a+c=−b+4
Step 2: Add -c to both sides.
a+c+−c=−b+4+−c
a=−b−c+4
Answer:
a=−b−c+4
(hope this helped plz mark brilliant)
3
3
X
14. Aşağıdaki cümlelerin hangisinde ikilemenin
oluşum yolu diğerlerinden farklıdır?
L
A) Çamurda bata çıka ilerlemeye çalıştık.
er-
B) Denizde irili ufaklı taşlar vardı.
C) Maaşımla iyi kötü geçinip gidiyoruz.
D) Eski püskü eşyaları kenara ayırdı.
es
?
Answer:
hygu
Step-by-step explanation:
yg9k
Randi bought a wallet for $8.33. She paid with a $20 bill. Which of the following could be the change she received?
A. 1 $10 bill, 1 $1 bill, 2 quarters, 1 dime, 1 nickel, and 2 pennies
B. 1 $10 bill, 1 $1 bill, 2 quarters, 1 dime, 2 nickels, and 2 pennies
C. 1 $10 bill, 1 $1 bill, 3 quarters, 1 dime, 1 nickel, and 2 pennies
D. 1 $10 bill, 1 $1 bill, 2 quarters, 2 dimes, 1 nickel, and 2 pennies
Answer:
A.
Step-by-step explanation:
She would receive $11.67
A is the correct math
Only answer if you're very good at Math.
Given f(x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?
A: ( g o f) (x) = x^2 + 1
B: ( g o f) (x) = ( x + 1)^2
C: ( g o f) (x) = x^2 + x + 1
D: ( g o f) (x) = x^2 ( x + 1)
Answer:
The answer is B: ( g o f) (x) = ( x + 1)^2
Explanation:
⟹ (g ∘ f) (x) = g [f (x)]
Replace x in g(x) = x^2 with x+1
= ( x + 1 ) ^2
I can’t figure it out!! Please help me!
Answer:
height = 8 cm
Step-by-step explanation:
formula to find area of a parallelogram =
base x height
so
10 x height = 80 cm square.
height = 80/10
=8 cm
Choose the solution set represented by the following graph.
{x | x R, x ≤ -2}
{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x ≥ -2}
Answer:
{x|x rx>-2}
Step-by-step explanation:
hope helpful answer
What is the height of the trapezoid?
Answer:
4 inches
Step-by-step explanation:
The line that is perpendicular to the bottom of the trapezoid is the height.
What is the domain of the function graphed below?
Answer:
x < 7
Step-by-step explanation:
the domain of a function defines the valid x values for the function.
as we go from left to right through all possible values of x, we see all values incl. x=-1 are creating a valid function result (y) for this function. until we reach x=7.
the empty ball indicates that there is no y value defined here. and for any value x>7 there is no y value defined.
so, x < 7 is the right one.
Answer: A
Step-by-step explanation:
Clue #2: You use a total of 11 base ten blocks to show this number. The
number of tens blocks is greater than the number of ones blocks.
Clue #3: 9,4 and 6 are all not a digit in the number.
Answer:
12
Step-by-step explanation:
Select the correct answer.
Which point is a reflection of 01-4, -6) across the x-axis and the -axis?
a) point a
b) point b
c)point c
d)point d
Answer:
If we have a point (x, y), a reflection across the x-axis converts the point to (x, -y)
While a reflection across the y-axis converts the point to (-x, y)
Then if we apply both of these transformations to our point, the reflection of (x, y) across the x-axis and then across the y-axis is (-x, -y)
Then the reflection of (-4, -6) across these two axes, is:
(- (-4), - (-6)) = (4, 6)
The correct option is B.
Can y’all help me on question 11?!
Answer:
The correct answer is choice C.
Step-by-step explanation:
To find the area of the arrow, we must add together the areas of the rectangle and the triangle that make up the arrow. The rectangle has a length of 10 inches and a width of 4 inches, and the triangle has a base of 8 inches and a height of 2 inches. Using this information, we can plug numbers into the following formula:
Area of arrow = area of rectangle + area of triangle
Area of arrow = (10*4)+(1/2*8*2)
Area of arrow = 40 inches squared + 8 inches squared
Area of arrow = 48 inches squared
Therefore, the correct answer is option C, 48 square units (in this case, inches).
Hope this helps!
PLEASE HELP ASAPPPPP!!!!!!
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?
The total combinations are found by multiplying each option by each other.
2 spreads x 3 meats x 4 breads = 24 different combinations.
Answer : 24
Raw scores on behavioral tests are often transformed for easier comparison. A test of reading ability has mean 67 and standard deviation 10 when given to third graders. Sixth graders have mean score 86 and standard deviation 9 on the same test. To provide separate "norms" for each grade, we want scores in each grade to have mean 100 and standard deviation 20. (Round your answers to two decimal places.)
(a) What linear transformation will change third-grade scores x into new scores xnew = a + bx that have the desired mean and standard deviation? (Use b > 0 to preserve the order of the scores.) a = b = (b)
Do the same for the sixth-grade scores.
a =
b =
(c) David is a third-grade student who scores 79 on the test. Find David's transformed score.
Nancy is a sixth-grade student who scores 79. What is her transformed score?
Who scores higher within his or her grade? Nancy or David
Answer:
a.) a = -34 and b = 2
b.) a = -91.11 b = 2.22
c.) David scored 124, nancy scored 84.27
David scored higher
Step-by-step explanation:
for those in the 3rd grade
mean u = 67
s = 10
we used the z formula
[tex]z=\frac{x-u}{s}[/tex]
[tex]z=\frac{x-67}{10}[/tex]
we have the new score
u = 100
s = 20
we use this formula [tex]z*s+u[/tex]
[tex][\frac{x-67}{10} ]20\\[/tex] + 100
multiply through by 20
[tex][\frac{20x-1340}{10} ] +100[/tex]
dividing the bracket by 10
= [tex]2x-134+100[/tex]
= [tex]2x-34[/tex]
from this solution above,
a = -34 and b = 2
b.)
we solve for those in the 6th grade
u = 86
s = 9
[tex]\frac{x-86}{9}[/tex]
for new score,
y = 100
s = 20
[tex][\frac{x-86}{9} ]20+100[/tex]
[tex]2.22x-191.11+100\\= 2.22x - 91.11[/tex]
from this solution
a = -91.11
b = 2.22
c.) if David scored 79
[tex]= 2(x)-34[/tex]
= 2(79) - 34
= 158 - 34
= 124
if nancy scored 79
= 2.22(79) - 91.11
= 175.38 - 91.11
= 84.27
from these scores we can see that David scored higher in his grade
In the Minnesota Northstar Cash Drawing, you pick five different numbers between 1 and 35. What is the probability of picking the winning combination (order does not matter)
Answer:
[tex]\frac{1}{324632}[/tex] probability of picking the winning combination
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Since the order is not important, the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
The correct five numbers from a set of 5. So
[tex]D = C_{5,5} = \frac{5!}{5!0!} = 1[/tex]
Total outcomes:
Five numbers from a set of 35. So
[tex]T = C_{35,5} = \frac{35!}{5!30!} = 324632[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{324632}[/tex]
[tex]\frac{1}{324632}[/tex] probability of picking the winning combination
5.) $28,000 invested at a rate of 4% compounded annually
a.) Write a compound interest function to model the situation.
Answer:
ok so we know the amount we know the interest amount but we do know know the period of time so the equation would look like this
28000(0.4)T=I
T=Time
I=interest
Erika wondered if there is a relationship between the amount of sugar (in grams) and the number of calories in movie theater candy.
She gathered the data from a sample of 12 types of candy and constructed the scatter plot shown below.
Find the approximate slope and y-intercept (0,b) of an estimated line of best fit.
Answer:
the slope is 8/7 and the y-intercept is 300
Step-by-step explanation:
The y-intercept is 300 because that is where the estimated line of bets fit (the red line) crosses the y-intercept.
Find the center and foci of the ellipse:
16x2 + 25y2 – 64x – 50y - 311 = 0
Answer:
You should first make sure you explain what exactly is the question, before delete others answers.♀️♀️
Step-by-step explanation:
Evaluate the expression(ab) for a = 10 and b= 4
Answer:
40
Step-by-step explanation:
A x B = 10 x 4 = 40
Answer:
ab=40
Step-by-step explanation:
pleaee mark as brain list
Help me out thanks !!!!!!!!!!
9514 1404 393
Answer:
(b) 93°
Step-by-step explanation:
Assuming the line containing YT is a diameter, the measure of angle UYT is ...
180° -87° = 93° = m∠UYT
It represents the set of traits, competencies and values an individual would like to possess.
a. Perceived Self
b. The Ideal Self
c. Self-Identities
d. Self Esteem
Answer:
The correct answer is - d. Self Esteem
Explanation:
Self-esteem is how we value and perceive ourselves. It based on the believes and opinions we make for ourselves. It represents various traits and characteristics such as self-confidence, identity, feeling of belonging, and competency.
Values are the principle or opinions we make to follow and values provide a sense of identity and uniqunessgive you a clearer sense of self, meaning, more energy, focus, and self-esteem.
The option that represents the set of traits, competencies and values an individual would like to possess is;
Option B; The Ideal Self
Let us access all the given options;
Option A; Perceived self is simply defined as how an individual sees himself or herself. Option B; The Ideal Self is defined as how an individual would like himself or herself to be. This means such an individual will wish he or she possessed certain traits or values.Option C; Self Identities are simply how individuals identify and define themselves. For example an athlete, a Pastor, a doctor, a lecturer e.t.c.Option D; Self esteem is simply defined as the worth or value individuals place on themselvesLooking at the definitions above, in conclusion we can see that the only one that fits the description given in the question is The Ideal Self.
Read more at; https://brainly.com/question/13832207
7 more than 3 multiplied by x algebraic expression
Answer:
3x + 7
Step-by-step explanation:
What is the inverse of the function f(x) = 169x2 when x ≥ 0?
A- f−1(x) = 13‾‾
B- f−1(x) = √13
C- f−1(x) = 13x
D- f−1(x) = 113
Answer:
[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse, we exchange the y and the x values, and then isolate y.
Function:
[tex]f(x) = 169x^2[/tex]
That is:
[tex]y = 169x^2[/tex]
Exchanging x and y:
[tex]x = 169y^2[/tex]
Isolating y:
[tex]y^2 = \frac{x}{169}[/tex]
[tex]y = \sqrt{\frac{x}{169}}[/tex]
[tex]y = \frac{\sqrt{x}}{13}[/tex]
[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]
The Fighting Hens' record has improved every year. The 2016 team won 3
more games than the 2015 team, and the 2017 team won 2 more games
than the 2016 team. If the 2017 team won 20 games, how many did the 2015
team win?
Answer:
15
Step-by-step explanation:
just calculate backwards
20 -2 -3
Answer:
The answer would be 15.
Step-by-step explanation:
I agree with the previous answer, in these cases you just calculate backward.
You start out with 20, then it states 2017 team won 2 more games, so you subtract 2. So now we know the 2016 team won 18 games.
Next we subtract 3 to get how many wins the 2015 team got. 18 - 3 is 15.
The answer would be 15.
all the given quadrilaterals in the picture on the right are squares and #1 ≅ #3, #2 ≅ # 4. find the area of the shaded region, if the area of the big square is 900 square units.
THANK YOU SO MUCH FOR YOUR HELP
Answer:
Step-by-step explanation:
If you have a square of side [tex]l[/tex], its diagonal would be [tex]l\sqrt{2}[/tex], and its area [tex]l^2[/tex]
If the big square has a area of 900, this implies that its side is [tex]\sqrt{900}[/tex], so the two diagonal of squares 2 and 4 added together would be [tex]\sqrt{900}[/tex], therefore one diagonal wold be [tex]\frac{\sqrt{900}}{2}[/tex]. and its side [tex]\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}}[/tex]. The area (of one square) is [tex](\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}})^2=\frac{225}{2}[/tex]
finally the two areas combined (squares 2 and 4) would be 225
Answer:
425
Step-by-step explanation:
I used help from the guy above me to find 2 and 4 so look at theirs for those. (Thank You). For 1 and 3. Each one is 1/9 of the big square. So each one is 1/9*900=100 100*2=200. And then we add 225+200=425.
Hope this helps :)
What is the coordinate point of letter F
please help me :(? I will mark BRAINLIST!
Answer:
1.) B
2.) B
Step-by-step explanation:
Number 1 is B bc rapid population in Mexico is caused by the economy improving.
Number 2 is B bc if there was one political party , there would be little opposition in the government. It basically means disaster.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+239x+127
Answer:
7.47 seconds
Step-by-step explanation:
From the quadratic equation the x coordinate of the vertex is
x = -b/(2a)
---------------------------
y = -16x² + 239x + 127
x = -239/ ( 2 * (-16) )
x = -239 / (-32)
x = 7.46875
Rounded
x = 7.47
In 2006 the number of tickets sold was 210.
The ratio Number of adult tickets: Number of student tickets was 23:19.
How
many
adult tickets were sold?
Answer:
115
Step-by-step explanation:
There were 115 adult tickets were sold.
What is ratio?A ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
Given that, the number of tickets sold was 210. The ratio Number of adult tickets: Number of student tickets was 23:19.
Let the number of tickets sold for adults be 23x and for students be 19x
Therefore, 23x+19x = 210
42x = 210
x = 210/42
x = 5
So, Number of adult tickets = 5x23 = 115
Hence, There were 115 adult tickets were sold.
For more references on ratios, click;
https://brainly.com/question/13419413
#SPJ2
