Answer:
The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 160, standard deviation of 13.
Middle 68% of the scores of all the games that Riley bowls.
Within 1 standard deviation of the mean, so:
160 - 13 = 147.
160 + 13 = 173.
The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).
John's salary is $1250 a month plus a 5% commission on all his sales. What must the amount of his sales be to earn at least $1500 each month?
also it's not $15,000
Answer:
5,000
Step-by-step explanation:
5,000 x .05 = 250
250 + 1,250 = 1,500
Emelyn is comparing the rates of two different gardening companies for her camp site. The table below shows the rates for Log Edge Landscaping. Log Edge Landscaping Hours Worked 1.5 3 3.5 4.5 Total Cost $26 $44 $50 $62 The equation below represents the rates for Gatewood Gardening Services, where x represents the hours worked and y represents the total cost, in dollars. Compare the rates of both companies, and graph the relationship that represents the cost for the company with a greater rate of change.
Answer:
See Explanation
Step-by-step explanation:
Given
Edge Landscaping:
[tex]\begin{array}{cc}{Hours} & {Total} & {1.5} & {\$26} & {3} & {\$44} & {3.5} & {\$50} & {4.5} & {\$62} \ \end{array}[/tex]
The rates (m) of the above table is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have the following points
[tex](x_1,y_1) = (1.5,26)[/tex]
[tex](x_1,y_1) = (4.5,62)[/tex]
So, the rate is:
[tex]m = \frac{62 - 26}{4.5 - 1.5}[/tex]
[tex]m = \frac{36}{3.0}[/tex]
[tex]m = 12.0[/tex]
This means that the rate of edge landscaping is $12.0 per hour
The equation for Gatewood is not given. Hence, the rate cannot be calculated. However, the general procedure of calculating rates from a linear equation is as follows;
A linear equation is of the form:
[tex]y = mx + b[/tex]
Where:
[tex]m \to slope\ or\ rates[/tex]
In other words, if the equation is:
[tex]y = 20x + 5[/tex]
Then the rate is: 20 ($20/hour)
If the equation is: [tex]y = 10x + 5[/tex]
Then the rate is 10 ($10/hr)
Next, is to compare the rates;
For Edge landscaping, we have:
[tex]m = 12.0[/tex]
For Gatewood, we have:
[tex]m = 10[/tex] ------------ assume the equation is: [tex]y = 10x + 5[/tex]
Compare the rates:
[tex]12 > 10[/tex]
Hence, Edge landscaping has a greater hourly rate
What is the first term of the sequence with nth term formula 100n + 3?
Submit Answer
Answer:
Step-by-step explanation:
To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!
answer is in photo above
Given that ABCD is a rectangle, find the perimeter of the figure below. Round your answer to the nearest tenth. *
Options
18 ft
19.7 ft
21 ft
24.4 ft
9514 1404 393
Answer:
(b) 19.7 ft
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of the 3 straight sides and half the circumference of a 3-ft circle.
P = 6 + 3 + 6 + (1/2)(π)(3) = 15 +3/2π ≈ 19.712 . . . feet
The perimeter is about 19.7 feet.
WHAT IS THIS HELP- 20 points i think-
Answer:
(6,5)
Step-by-step explanation:
To keep the sides parallel, the y coordinate must be the same as the top point so y = 5
The distance between the bottom points is 1, so the distance between the top points must be 1
The point could be at 5-1 =4 or 5+1 = 6
(4,5) or (6,5)
Given the choices listed
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 12(1.03)n
What is the average rate of change of the function f(n) from n = 3 to n = 10, and what does it represent? (4 points)
Answer:
The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function f(x), from x = a to x = b, is given by:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
In this question:
[tex]f(x) = 12(1.03)^n[/tex]
From n = 3 to n = 10
[tex]a = 3, b = 10[/tex]
[tex]f(b) = f(10) = 12(1.03)^{10} = 16.13[/tex]
[tex]f(a) = f(3) = 12(1.03)^{3} = 13.11[/tex]
Average rate of change:
[tex]A = \frac{f(b)-f(a)}{b-a} = \frac{16.13-13.11}{10-3} = 0.4314[/tex]
The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.
help simplify √10/18
Answer:
Letter A
Step-by-step explanation:
Hope this helps
Answer:
its A
Step-by-step explanation:
In triangle ABC, AC = 4, BC = 5, and 1 < AB < 9. Let D, E and F be the
midpoints of BC, CA, and AB, respectively. If AD and BE intersect at G
and point G is on CF, how long is AB?
A. 2
B. 3
C. 4
D. 5
Find c,d, & e if A=127 B=90 and F= 111
Answer:
C) 143
D) 37
E) 74
Step-by-step explanation:
C) 180 - 37 = 143
D) 180 - 143 = 37
E) 180 - 37 - 69 = E
find the missing angle measures by examining the angle relationships first
m
m
m
∠ b = 43° — — { Vertical opp. angles]
Now, see 43 and a are together compromising the linear pair so,
= 43 + a = 180°
= a = 180 - 43
= a = 137
Like b, similarly here also a = c = 137° {Vertical opp. angles}
Help ASAP pls I will give brainlist
Answer:
Step-by-step explanation:
There is a issue here...
is the spotted blue section considered "a blue sector"?
Assuming that "blue" or "red" is only a solid blue or red, this is the answer...
1) (1/10)* (3/10) = .03
2) (3/10) * (3/10) = 9/100 = .09
3) (3/10) * (1/10) = 3/100 = .03
4) (4/10) * (3/10) = 12/100 = .12
if the spotted blue and the solid blue are considered blue then this would be the result ...
1) (1/10)* (3/10) = .03
2) (4/10) * (3/10) = 12/100 = .12
3) (3/10) * (1/10) = 3/100 = .03
4) (8/10) * (3/10) = 24/100 = .24
the end of day values of a stock market index for the week of December 9-13 are graphed to the right
Answer: 33.4
Step-by-step explanation:
Round 263.492 to the nearest tenth.
Answer:
260.
because 263 is below 265 so it wont change to 270.
PLEASE PLEASE HELP ASAP I NEED THIS DONE BY TODAY WILL GIVE BRAINLIEST!!!!
Match the basic trigonometric ratio for the similar triangles.
Answer:
cos E = 6/10
cos G = 8/10
sin E = 8/10
sin G = 6/10
tan E = 8/6
tan G = 6/8
showing ALL calculations, whether this statement is valid
Rammone invests R505 050.00 for three years at a banking institution when
will grow at 5% compound interest per year.
2.2.1
Use a yearly STEP by STEP or a long method and calculate the
interest earned after three years. (Do not use the compound intere
formula.)
Answer:
RM79 608.51
Step-by-step explanation:
First year,
RM505 050.00×5%=RM505 050.00×5/100
=RM25 252.50
second year,
(RM505 050.00+RM25 252.50)×5%=RM530 302.50×5/100
=RM26 515.13
third year,
(RM530 302.50+RM26 515.13)×5%=RM556817.63×5/100
=RM27840.88
three years interest,
RM25 252.50+RM26 515.13+RM27840.88=RM79608.51
I don't know that is R or RM
if it is R ,sorry
Hope can help!
A student needs 12 minutes to solve an algebra problem how many minutes does the student need to solve 6 problems
Answer:
72
Step-by-step explanation:
12 * 6 = 72
of course, IRL not every problem takes the same amount of time
Answer: if they are all algebra questions then 72
Step-by-step explanation:
12 + 12 + 12 + 12 + 12 + 12= 70
Solve for t, 0 < t < 27.
21 sin(t)cos(t) = 12 sin(t)
Answer:i
Step-by-step explanation:i
Which of the following expressions is equivalent to 12x - 3 + 2x + 13?
Select all that apply.
A. 10x + 16
B. 14x + 16
C. 17x + 13
D. 2(7x+5)
E. 14x + 10
Answer:
D and E
Step-by-step explanation:
The simplified expression is 14x + 10.
The correct option is E (14x + 10), which matches the simplified form of the original expression.
To simplify the expression 12x - 3 + 2x + 13, we can combine like terms. Like terms are terms that have the same variable(s) raised to the same exponent(s).
First, we combine the x terms, which are 12x and 2x. Their sum is 14x.
Next, we combine the constant terms, which are -3 and 13. Their sum is 10.
Therefore, the simplified expression is 14x + 10.
Among the given options, the expression 14x + 10 is the correct one.
Option A (10x + 16) is not equivalent to the original expression because it does not combine the x terms correctly.
Option B (14x + 16) is not equivalent to the original expression because it does not account for the constant term correctly.
Option C (17x + 13) is not equivalent to the original expression because it combines the x terms incorrectly and does not account for the constant term correctly.
Option D (2(7x+5)) is not equivalent to the original expression because it is a different expression altogether, factoring out the common factor of 2 from the terms.
To learn more about the equivalent expression;
https://brainly.com/question/28170201
#SPJ6
RDTQ is a trapezoid. Find measure of angle R
Answer: 170°
Step-by-step explanation: 8x +34 - (6x-22) =90 ==> 2x +56 =90 ==> x = 17 ==> góc R = 8*17 +34 = 170°
in Lindsay's class, there were three students who scored 90 on a test and six students who scored 40 on a test. what is the mean of the scores in the class?
Answer:
((90*3)+(40*6))/9
=(90+90+90+40+40+40+40+40+40)/9
=66.66
Step-by-step explanation:
A, higher than her sisters score
write a recursive formula for the following sequence 25,43,61,79,97
F(1)= 25
F(n)= F (n-1) +18
Given:
The sequence is:
25,43,61,79,97
To find:
The recursive formula for the given sequence.
Solution:
We have,
25,43,61,79,97
Here, the first term is 25. Now, the differences between the two consecutive terms are:
[tex]43-25=18[/tex]
[tex]61-43=18[/tex]
[tex]79-61=18[/tex]
[tex]97-79=18[/tex]
The differences between the two consecutive terms is common, i.e., 18. So, the given sequence is an arithmetic sequence.
The recursive formula of an arithmetic sequence is:
[tex]F(n)=F(n-1)+d[/tex]
Where, d is the common difference and F(1) is the first term.
Putting [tex]d=18[/tex], we get
[tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].
Therefore, the required recursive formula is [tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].
James made 20 basketball shots in 15 minutes.
What is the number of basketball shots James can make in 45 minutes?
А
60
B
45
С
34
D 7
20 points
Evaluate the function graphically find f(-6)
Answer:
Five
Step-by-step explanation:
Just look at the point where x=-6
Pls help I’ll brainlest
Answer:
B.) 0.00692
Step-by-step explanation:
6.92 x 10^-3
0.00692
Which equation is equivalent to f(x) = -3(x-2)^2 + 14?
Answer:
-3x² + 12x + 2
Step-by-step explanation:
[tex]-3(x-2)^2+14\\-3(x-2)(x-2)+14\\-3(x^2-4x+4)+14\\-3x^2+12x-12+14\\-3x^2+12x+2[/tex]
find the slope of the graph
Answer:
We count across to 4 on y axis = 2
and count down from 4 to -2 on x axis = -6
-6/2 = -3
m = -3
We know its minus because the reciprocal is the perpendicular imaginary line and if -3 is for the descending line then any ascending perpendicular line would show m = -1/-3 = 3
Step-by-step explanation:
1 Joseph weighs 100 pounds and his sister weighs 100 pounds. How much do they weigh together? 15 a. 4 200 pounds 4 100 15 15 pounds b. d. 2 200 pounds 20 5 200 pounds 15 Please select the best answer from the choices provided O A OB Ос D
If PQ = 4i+3j+2k, find /PQ/
Answer:
| PQ | = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
Given
PQ = ai + bj + ck , then
| PQ | = [tex]\sqrt{a^2+b^2+c^2}[/tex]
Here PQ = 4i + 3j + 2k , then
| PQ | = [tex]\sqrt{4^2+3^2+2^2}[/tex] = [tex]\sqrt{16+9+4}[/tex] = [tex]\sqrt{29}[/tex]
What's the Error? Explain the error. Find the correct solution.
12-(-8)= 4
Step-by-step explanation:
12-(-8)=4
12+8=20
because - - sign +
If a 32-gram serving of pasta contains 4g of protein, how many grams of protein are in a 908-gram box of the pasta ?
Step-by-step explanation:
This is my solution you honestly just need to cross multiply
Answer:
113.5
Step-by-step explanation:
32 : 4 = 908 : X
X = (4 * 908) / 32
X = 113.5
