Answer:
The z-score of a 65-mph speed limit is -0.75
Step-by-step explanation:
Here, we want to calculate the z-score
To calculate the z-score, we make use of the z-score formula
Mathematically;
z-score =(x-mean)/SD
from the question we identify the values as x = 65 mph, mean = 71 mph, Standard deviation(SD) = 8 mph
Plugging these values into the equation above, we have
z-score = (65-71)/8 = -6/8 = -0.75
Greg plans to purchase a bicycle. Bike A costs $270 and has an expected maintenance cost of $36 per year. Bike B costs $360 and has an expected maintenance cost of $20 per year. Which statement is true based on the average annual cost of each bike?
Answer:
Bike A costs $270 and has an expected maintenance cost of $36 per year."Bike A is the better choice if Greg plans on owning the bike for 5 years. Bike B is the better choice if Greg plans on owning the bike for 6 years."Step-by-step explanation:
270-36x
there are 5 years so x=5
270 + 36(5) = 270 + 180 = 450
If it were 6 years than x = 6
270 + 36(6) = 270 + 216 = 486
Bike B:
360 + 20x
For option b x = 5
360 + 20(5) = 360 + 100 = 460
for option b it would be 6 years than x = 6
360 + 20(6) = 360 + 120 = 480
Hope i helped!This cost function of purchasing a bike A
[tex]\to f1(x) = 270+ 36 x[/tex] ( The unit of x is a year)
A cost function for purchasing bike B:
[tex]\to f2(x) = 360+20x \\\\if \ \ f1(x)<f2(x)\\\\ \therefore\\\\ \to 270+36x-360+20x\ \ \ (transpose)\\\\\to 16x= 90 \\\\\to x=\frac{90}{16}=5.625\\\\[/tex]
If Greg plans to keep the bike for 5 years, Bike A is the superior option. If Greg plans to keep the bike for 6 years, Bike B is the superior option.
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[tex] {75}^{2} + 25 - 750[/tex]
What is the sum of the interior angles of the polygon shown below?
Answer:
360
Step-by-step explanation:
Formula
Sides -2 ×180
4-2=2×180=360
How many solutions does this equation have?
5 − 2k = –2k
Steps to solve:
5 − 2k = –2k
~Subtract 5 to both sides
5 - 5 - 2k = -2k - 5
~Simplify
-2k = -2k - 5
~Add 2k to both sides
-2k + 2k = -2k + 2k - 5
~Simplify
0 ≠ -5
Therefore, the equation as no solutions.
Best of Luck!
Calculate (full working required)
2.43 x 4 =
Answer:
The answer is 9.72 .
Step-by-step explanation:
You can do it by elaborating :
2.43×4 = (2.00×4) + (0.4×4) + (0.03×4)
= 8.00 + 1.6 + 0.12
= 9.72
Justin earned $25.67 one week and $37.85 the next
week. He also purchased a DVD for $19.99 and gas for
his car for $22.07. He started with a zero balance in his
checking account. Justin recorded all of these
transactions in his checkbook and ended up with a
balance of $105.58. Was his balance correct? If it was,
write an equation to support the answer.
Answer:
No, Justin isn't correct
Step-by-step explanation:
Because Justin added everything even the money he spent, and when he spent the money meaning subtracting them, he should get $21.46.
($25.67+$37.85)-($19.99+$22.07)=$21.46
↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑
Money earned Money spend Money left
someone please help :)
Answer: 25
Step-by-step explanation:
they are corresponding angles
Someone be a homie cause I’m really tryin on this math shi thank youuuu
Answer:
The area of the shaded region is equal to difference of the sector contains that shaded region and the triangle.
The area of sector:
A_S = pi x radius^2 x 123/360
= pi x 18.6^2 x 123/360
= 371.346 (m2)
The area of triangle:
A_T = base x height x (1/2)
= (18.6 x sin(123/2) x 2) x (18.6 x cos(123/2)) x (1/2)
= 145.073 (m2)
=> Area of shaded region:
A = 371.346 - 145.073 = 226.273 = ~226.3 (m2)
Hope this helps!
:)
Answer:
First give me points and make me winner, then we can discuss the answer.
Step-by-step explanation:
The diagram shows AABC.
a. What is the height of AABC7 Show your work
If angle AOC = 40 degrees, how many degrees is angle ABC?
80........................
Pengelola layanan air minum di desaku membuat tempat penampungan air di dataran tinggi agar air dapat menjangkau seluruh desa. Tempat penampungan tersebu berbentuk kubus dengan panjang rusuk 8 meter. Jika tempat penampungan itu penuh, berapa liter air yang tertampung?
Answer:
The shelter can contain 512 cubic meters of water.Step-by-step explanation:
This question can be translated to:
"The manager of the drinking water service in my town creates a water tank in the highlands so that the water can reach the entire town. The cube-shaped shelter is 8 meters long. If the shelter is full, how many liters of water can it contain?"
As you can observe, the volumetric form is a cube with 8 meters long each edge.
We know the volume of a cube is defined as
[tex]V=l^{3}[/tex]
Where [tex]l=8 \ m[/tex], replacing this value, we have
[tex]V=(8 \ m)^{3} \\V=512 \ m^{3}[/tex]
Therefore, the shelter can contain 512 cubic meters of water.
Without measuring angles what is the measure of angle A′ OB ′?
Answer:
That isn’t possible
Step-by-step explanation:
21.14,7.2,4.5 are these irrational or rational?
Answer:
Rational. They have termination decimals, so the next digit can be predicted. Therefore, those numbers are rational.
Step-by-step explanation:
Francine has a piece of wood that is five 5 5/12 feet long she uses three 3 1/4 feet of the wood from a science project how much for just Francine have left.
Answer:
4/3 ft
Corrected question;
Francine has a piece of wood that is five 5/12 feet long she uses three 1/4 feet of the wood from a science project how much for just Francine have left.
Step-by-step explanation:
Given;
Francine has a piece of wood that is five 5/12 feet long.
Total amount of wood T = 5 × 5/12 ft = 25/12 ft
she uses three 1/4 feet of the wood from a science project.
Amount of wood Used U = 3 × 1/4 = 3/4 ft
The amount of wood left equals the total amount of wood minus the amount of wood used;
The amount of wood left L = T - U = 25/12 - 3/4
L = 25/12 - 9/12
L = 16/12
L = 4/3 ft
What two numbers have a sum of 191 and a difference of 63
Answer:
Step-by-step explanation:
a+b=191
a-b=63
i sum these
a+b+a-b=191+63
2a=254
a=254/2
a=127
b=191-127
b=64
Answer:
127 and 64
Step-by-step explanation:
To solve this, we can set up a system of equations.
We can name the first number x and the second number y.
x+y=191
x-y=63
We can use elimination to eliminate the y variable.
We do this by adding the equations together
x+y=191
+ x-y=63
_________
2x=254
Divide both sides by 2.
x=127
Now we can plug that in to find y.
x+y=191
127+y=191
Subtract 127 from both sides.
y=64
So our two numbers are 127 and 64.
The graph below shows three different normal distributions. 3 normal distributions are shown. They all peak at the same point, but they all have different heights and widths. Which statement must be true?
A) Each distribution has a different mean and the same standard deviation.
B) Each distribution has a different mean and a different standard deviation.
C) Each distribution has the same mean and the same standard deviation.
D) Each distribution has the same mean and a different standard deviation.
Answer:
D) Each distribution has the same mean and a different standard deviation.
Step-by-step explanation:
just took test edg2020
The graph below shows three different normal distributions.
D) Each distribution has the same mean and a different standard deviation.
What is standard deviation and mean?The spread in the provided normal curves exists due to various standard deviations. The mean for all three curves lies at the center of the curve.
Therefore, each distribution contains the same mean and a separate standard deviation.
Therefore, the correct answer is option (D) "Each distribution has the same mean and a different standard deviation."
To learn more about standard deviation and mean
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Mai's younger brother tells her that 10/7 equal to 2‾√ 2 2‾√ 2 . Mai knows this can't be right, because 10/7 is rational and 2‾√ 2 2‾√ 2 is irrational. Write an explanation that Mai could use to convince her brother that 10/7 cannot be the square root of 2.
Answer:
The number 10/7 is a rational number, which means it can be expressed as a fraction. Also, if we divide it would give a decimal infinite periodical number, which means it has a pattern on its decimal numbers.
On the other hand, the square root of 2 is irrational number, that means it can't be expressed as a fraction, because its decimal numbers don't have any pattern at all.
So, Mai's brother can see these type of numbers as crazy (irrational numbers) and sane (rational numbers).
At last, another important characteristic to shows that they aren't equal is that they don't have the exactly decimal numbers.
each store is offering a different promotion
Answer:
Ddddddddddddddddddddddddd
The ratio of the leg adjacent to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.
A. sine
B. tangent
C. cosine
D. cosecant
Answer:cosine
Step-by-step explanation:
Some
Of
Her
Children
Are
Having
Trouble
Over
Algebra
SOH/CAH/TOA
Sin opp/hype cos adj/hyp tan opp/hyp
Factor the following polynomial:
5x(a - b) – 2y(a - b)
Answer:
(a - b)(5x - 2y)
Step-by-step explanation:
5x(a - b) – 2y(a - b) =
The factors in parentheses (shown in bold) are a common factor.
Factor (a - b) out from both terms.
= (a - b)(5x - 2y)
Carl surveyed his classmates about their favorite colors. The graph shows the survey results. A circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green. Which statements about the circle graph are correct? Check all that apply.
25% of the students said blue was their favorite color.
33% of the students said green was their favorite color.
25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
66% of the students said either orange or blue was their favorite color.
Answer: 25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
Step-by-step explanation:
The statements about the circle graph are correct;
C. 25% of the students said orange was their favorite color.
D. 50% of the students said either green or orange was their favorite color.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
Given that circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green.
In total, there are 100 students.
50 %is blue,
25 %is orange,
25 %is green.
Therefore, 25% of the students said orange was their favorite color and 50% of the students said either green or orange was their favorite color.
More can be learned about circle graph at;
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Plz Help meee!!!
Factor the Trinomial
x^2+12x+27
Answer:
(x + 9)(x + 3)
Step-by-step explanation:
Factor 27 so that the factors, when combined, will equal 12:
x² + 12x + 27
x 9
x 3
(x + 9)(x + 3) is your answer.
Check: Use the FOIL method. Multiply the first two terms, the outside terms, the inside terms, and then the last two terms. Combine like terms:
(x + 9)(x + 3) = x² + 3x + 9x + 27 = x² + 12x + 27 (√)
~
Answer:
(x+9)(x+3)
Step-by-step explanation:
first of all, you should learn this properly, because you'll have to go back to this over and over again. anyways
you need to find two numbers so that it adds up to 12, but also multiplies to 27.
The numbers 9 and 3 fit the situation
So you add 9x and 3x because it's the same thing as 12x. you're just splitting up the term 12x into two other terms.
so now it looks like x^2 + 9x + 3x + 27. now you factor the first two terms and last two terms
x ( x + 9 ) <---factor of first two terms
3 ( x + 9) <---factor of last two terms
x(x+9)+3(x+9)
you notice that (x+9) is common in both factorized parts
so, you add x and 3 from the outside
and you get (x +3 ) (x+9)
Compute the requested value. Choose the correct answer.
If the cost is $58.00 and the selling price is $63.00, then what is the percent of increase?
It is
%
Answer:
8% percent I think
Step-by-step explanation:
Dylan spends a total of $118.50 on 6 bags of popcorn and 12 drinks. Camden spends a total of $48.75 on 1 bag of popcorn and 6 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
The price of a drink is $7.25
Step-by-step explanation:
Let d represent the price of a drink
let p represent the price of a popcorn
6p+12d=118.50 equation 1
p+6d=48.75 equation 2
multiply both equation 1 by 2
multiply equation 2 by 4
12p+24d=237 equation 3
4p+24d=195 equation 4
subtract equation 4 from 3
8p=42
p=42/8
p=$5.25
Substitute for p in equation 1
(6*5.25 )+12d=118.50
31.5 +12d=118.50
12d=118.50-31.5 0
12d=87
d=87/12
d=$7.25
Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
[tex]v=v_o +at[/tex]
Here, v = -6.5 m/s, t = 1.5 s and a = -g
[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
Solve the equation shown for x.
2( x - 4) = 4x + 3x + 6
Answer:
-2.8
Step-by-step explanation:
I solved it thats how
Express
as a unit rate.
Betty drives her car 150 km in 2 h. Explain
Answer:
75 km per hourStep-by-step explanation:
[tex]\frac{150km}{2hr}[/tex] divided by two is [tex]\frac{75km}{1hr}[/tex].
What is the value of x in the equation
1/3x - 1/2 = 18 1/2
a. 6
b. 15
c. 54
d. 57
PLEASE HELP I HAVE 5 MIN LEFT ON MY TEST
Answer:
D 57
Step-by-step explanation:
The value of X
Use the information in the table to answer the question. A 3-column table has 1 row. The first column is labeled Species with entry Goldfish. The second column is labeled Mean with entry 7 inches. The third column is labeled Standard Deviation with entry 1.2 inches. What percentage of goldfish will have lengths between 4.6 inches and 9.4 inches?
Answer:
94% so C
Step-by-step explanation:
I did the assignment
Hope it helps
Answer:
95%
Step-by-step explanation:
Edge 2020
The length of a rectangular room is 5 feet longer than twice the width If the room's perimeter is 166 feet, what is the length?
A. 67 feet
B. 44 feet
C. None of these
D. 114 feet
E. 57 feet
Answer:
E. 57 feet
Step-by-step explanation:
If you draw a rectangle and label the long side 5+2x, and the short side x, then that represents the rectangular floor.
The 2x is "twice the width".
The 5 added to the 2x is "5 feet longer than"
The x is the width of the room.
If the equation for the whole perimeter is 2(5+2x)+2x=166 <-(The perimeter)
(Both of the long sides)^ ^(Both of the short sides)
Then we need to solve for x.
[tex]2(5+2x)+2x=166\\10+4x+2x=166\\10+6x=166\\6x=156\\x=26[/tex]
Next, we input the value we got into the equation 5+2x (The length of one side) and solve
[tex]5+2x\\5+2(26)\\5+52\\57[/tex]
So the length of the room is 57 feet.
Hope this helps!
