Step-by-step explanation:
f(2) = 4(2) - 2
= 8 - 2
= 6
g(f(2)) = g(6)
g(6) = 5(6) - 3
= 30 - 3
= 27
g(f(2)) = 27
Complete each ratio table to solve each problem.
11 To make 5 apple pies, you need about 2 pounds
of apples. How many pounds of apples do you need
to make 20 apple pies?
Answer:8 pounds to make 20 apple pies
What is the Domain of the given graph?
(0,2)
(-3,0)
Answer:
dssds 8900
Step-by-step explanation:
dwdwdmunayaynd
How do you solve this?
Answer:
Well one do the square root of 16
Answer:
1 and 9
Step-by-step explanation:
[tex]5-\sqrt{16}[/tex]
[tex]5+\sqrt{16\\[/tex]
Help me plz It’s Algebra 1
Answer: Constant
Step-by-step explanation: It is a straight horizontal line with no dips or curves, so it is constant.
Hope this helps!
Please mark Brainliest!
Answer:
Constant
Step-by-step explanation:
It must be constant because the line is neither increasing or decreasing
The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator
Answer:
The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
Step-by-step explanation:
16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
We calculate sample mean and std deviation from given data.
Sample Mean, [tex]$ {\overset{-}X} =\frac{\Sigma (X)}{n} $[/tex] =269.8/10=26.98
Sample Variance, [tex]$s^2= \frac{\Sigma(X-{\overset{-}X})^2}{(n-1)}$[/tex] =1859.496/9=206.610667
Sample std dev,s=[tex]$\sqrt{s^2}$[/tex]=√206.610667≈14.373958
We want to test two tailed hypothesis:
[tex]$H_0$[/tex] : σ=12
[tex]$H_2$[/tex] : σ≠12
Given: s=14.373958⇒ [tex]$s^2$[/tex] =206.610667,n=10
Significance level, a=0.1 Degrees of freedom, df=n-1=9
Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.
Critical values are given by [tex]$ X_{1-\alpha/2}^2 =X_{0.95}^2 \text{ and}\ X_{1-\alpha/2}^2 =X_{0.95}^2 $[/tex] with 9 degrees of freedom.
We can use chi-square table or following excel commands:
CHISQ. INV(0.95,9)=3.32511284307
CHISQ. INV (0.05,9)=16.9189776046
Critical Values, [tex]$X_L^2$[/tex]=3.325 and [tex]$X_R^2$[/tex]=16.919
Since this is two tailed test, the decision rule or rejection criteria is:
Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,
Reject [tex]$H_0$[/tex] if [tex]$x^2$[/tex]≤3.325 OR [tex]$x^2$[/tex]≥16.919
Test statistic is given by [tex]$X^2=\frac{(n-1)s^2}{\sigma^2}$[/tex] =((9)*206.610667)/144=12.913167
Test statistic, [tex]$x^2$[/tex]=12.913
since test statistic is between two critical values, we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex].
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .
Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject [tex]$H_0$[/tex] if p-value ≤0.1
P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9, TRUE ) 1-CHISQ.DIST 12.913167,9, TRUE ) =0.333149809868
P-value =0.3331
since p-value is greater than significance level (α),we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex]).
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .
$1,672.68
$287.84
$12.32
Answer:
$1672.68
Step-by-step explanation:
Find the value of B
Answer:
34
Step-by-step explanation:
b+115°+31°= 180° (sumof all angles of triangle)
b=146°-180°
b=34°
hope it helps you!
steffie matt
7. Which of the following is an example of perpendicular lines?
OA
X1
B.
C.
D.
Answer:
D
Step-by-step explanation:
Perpendicular lines intersect at a 90 degree angle.
in order to be invited to tutoring or extension activities a student's performance must be at least 20 points higher or lower than an average score is 105 which inequality represents P the scores for students who are eligible for tutoring or extension activities
Answer:
i think its p ≤ 85 or p ≥ 125
Step-by-step explanation:
p can be 85 and higher but can be passed 125 but it can be 125 which makes the equality signs have the line under them meaning less than or equal to, and could also mean greater than or equal to.
The inequality that represents P the scores for students who are eligible for tutoring or extension activities is p ≤ 85 or p ≥ 125.
What is an Average?Average is the mean of the data set obtained by summing all the values of the data set and then dividing it by the number of data in the set.
The average score is 105
The score required for tutoring is at least 20 points higher than average
The score required for extension activities is at least 20 points lower than average
P is the scores for students who are eligible for tutoring or extension activities
Then p ≤ 105 -20 = p ≤ 85
p ≥ 105+20 = p ≥125
p ≤ 85 or p ≥ 125
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Evaluate the expression and enter your answer in the box below.
-7 • (5+ 3) +216 ➗ 4
Answer:
= -2
-7(5+3)+216/4
-7(8)+216/4
-56+54
= -2
What are the two solutions of 2x2 = –x2 – 5x – 1?
Answer:
x=1+√334, x=1−√334
Step-by-step explanation:
ANSWER is C on edge for those of you looking
Step-by-step explanation:
a right rectangular prism has these dimensions:
Length: 1 1/3
width: 5/6
height: 2/3
Suppose that a visitor to Disneyland has a 0.74 probability of riding the Jungle Cruise, 0.62 probability of riding the Monorail, 0.70 of riding the Matterhorn, 0.52 of going on both the Jungle Cruise and Monorail, 0.46 of going on the Jungle Cruise and Matterhorn, 0.44 of going on the Monorail and the Matterhorn, and 0.34 of going on all three rides. What is the probability that a person visiting Disneyland will go on at least one of these three rides
Answer: 0.98
Step-by-step explanation:
Let J denotes Jungle Cruise , M denotes Monorail and H denotes Matterhorn.
As per given ,
P(J) = 0.74, P(M) = 0.62, P(H) = 0.70
P(J∩M) = 0.52, P(J∩H)= 0.46 , P(M∩H)=0.44
P(J∩M∩H)=0.34
Now , the required probability:
P(J∪M∪H) = P(J) + P(M) + P(H) - P(J∩M) - P(J∩H) - P(M∩H)+ P(J∩M∩H)
= 0.74+0.62+0.70-0.52-0.46-0.44+0.34
= 0.98
Hence, the probability that a person visiting Disneyland will go on at least one of these three rides= 0.98 .
How do you solve the equation -x/3=27
What is the scale factor from Figure 2 to Figure 1?
Answer:
3
Step-by-step explanation:
Each of the lines lengths multiply by 3.
Rewrite 8 3/4 as an improper fraction.
A. 35/4
B. 28/3
C.35/8
D.32/4
Answer:
35/4
Step-by-step explanation:
multiply 8 by 4, add the 3
Answer:
the answer is C
Step-by-step explanation:
Please help with part A!!
Answer:
Option A. A and D
Step-by-step explanation:
This answer because they are both right triangles and are near the same size
Hope this helps!
How many x-intercepts can an absolute value graph have?
Answer:
Zero, One, Two
Step-by-step explanation:
It can never touch the x-axiswhen it's like
[tex]y=a|x-b|+c[/tex]
with
[tex]c>0[/tex]
it will be upward
it can touch only once when it's like[tex]y=a|x-b|[/tex]
it will touch it in [tex](b,0)[/tex]
It can touch twice when it's like[tex]y=a|x-b|-c[/tex]
with
[tex]c>0[/tex]
the equations are just an example, there can be other ways too
have three or more it's impossible, because the absolute value graph is the union of two lines, and each line at most can touch the x-axis once
Round 89678 to the nearest hundredth thousand
Answer:
100,000
Step-by-step explanation:
89678 rounded to the nearest hundred thousand is 100,000.
I need help with 1-3 i don’t understand that problems and its already over due
Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
How many pounds are equal to 3 tons?
Answer:
6000 pounds Hope this helps :)
Step-by-step explanation:
Multiply by mass value 2000
Answer:
6000
Step-by-step explanation:
27 is nine more than six times
Hugo's age. What is Hugo's
age?
Answer:
3
Step-by-step explanation:
First, subtract 9 from 27:
27 - 9 = 18
Next, divide 6 from 18:
18/6 = 3
3 is Hugo's age.
~
A point represents what in geometry
Can someone help me with this question please?
Given y=2x+8, determine the value of y when x=3
Answer:
y = 14
Step-by-step explanation:
Given x plug in 3 for x
y = (2times3) + 8
y = 6 + 8
to cheak ur awsner plug in y as 18 and solve for x
Answer:
x=3 so y=2*3+8
=6+8
=14
Solve this linear system 28x + 44y = 964.40 21x + 33y = 723.30
28x + 44y = 964.40
21x + 33y = 723.30
Let's multiply the first equation by 4 and the second by -4
84x + 176y = 3857.6
-84x - 132y = -2893.2
Add the equations together.
0 + 44y = 964.4
Simplify
44y = 964.4
Divide both sides by 44
y = 964.4/44
Since we have the value of y, let's plug 964.4/44 into y for the first equation.
28x + 44(964.4/44) = 964.40
Simplify the left side
28x + 964.4 = 964.4
Subtract 964.4 from both sides
28x = 0
Divide both sides by 0
x = 0
In conclusion,
y = 964.4/44
x = 0
Help!! Need Some Homework Help ASAP!
Answer:
175°
Step-by-step explanation:
Since, [tex] \overrightarrow{BD} [/tex] is in the interior of [tex] \angle ABC[/tex]
[tex] \therefore m\angle ABC = m\angle ABD + m\angle CBD\\
\therefore (14x + 21)\degree = (2x + 3)\degree + 150\degree \\
\therefore (14x + 21)\degree = (2x + 153)\degree\\
\therefore 14x + 21 = 2x + 153\\
\therefore 14x - 2x = 153 - 21\\
\therefore 12x = 132\\
\therefore x = \frac{132}{12}\\
\therefore x = 11\\\\
m\angle ABC = (14x + 21)\degree\\
m\angle ABC = (14\times 11+ 21)\degree\\
m\angle ABC = (154+ 21)\degree\\
\huge\red {\boxed {m\angle ABC = 175\degree}} \\[/tex]
The product of 2 and the sum of a number and 8 is equivalent to 16.
Which equation models this sentence?
x = some unknown number
x+8 = sum of the number and 8
2(x+8) = product of 2 and the sum of a number and 8
2(x+8) = 16 is the final answerWhich line is perpendicular to a line that has a slope of Negative one-third? line MN line AB line EF line JK
Answer:
The answer is line EF, C is the correct answer!
Step-by-step explanation:
Just took the assignment. Maybe this will help you with your other problems with slopes and angles. If you have any more questions for me, I'll answer them! :D
The perpendicular line is line EF.
What is slope?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.
Slope = m = tan θ
m = (y2 - y1)/(x2 - x1)
Given:
slope = -1/3
then, the perpendicular line will have the slope = 3
Now, from the figure the line line represent the slope 3 is line EF
As, (0, -3) and (2, 3)
slope = 3+3 / 2-0
slope= 6/2
slope= 3
Hence, the perpendicular line is line EF.
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how do you convert a fraction to decimal