Answer:
15.85%
Step-by-step explanation:
Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.
Given mean (μ) = 41 months, standard deviation (σ) = 5 months
One standard deviation = μ ± σ = 41 ± 5 = (36, 46)
Therefore 68% falls within 36 months and 41 months
Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)
Therefore 95% falls within 31 months and 51 months
Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)
Therefore 99.7% falls within 26 months and 56 months
The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%
what is the vertex to the graph below
Answer:
[tex]y = 4 {ax}^{2} \\ by \: comparison \: with \: y = 1.5 {x}^{2} \\ 4a = 1.5 \\ a = \frac{1.5}{4} \\ a = \frac{3}{8} \\ vertex = \frac{3}{8} \: \: o r\: \: 0.375[/tex]
Answer:
(0,0)
Step-by-step explanation:
The vertex of the parabola is the minimum ( or maximum) point
Since this is an open upwards parabola, it is the minimum point
The minimum is (0,0) so that is the vertex
I don’t understand how to do this . Any help would be appreciated thank you .
(B)
Step-by-step explanation:
Look at the triangle with the 65° angle. Note that the 65° angle is opposite the 24-ft side and p is the length of the triangle's hypotenuse so let's use the definition of sine 65°:
sin 65 = opposite/hypotenuse
= (24 ft)/p
Solving for p,
p = (24 ft)/(sin 65°)
= 26.48 ft
12
Which number sentence is true?
A
B.
4y2 + 2 = (4y x 4y) + 2
4y2 + 2 = (4y + y) + 2
4y2 + 2 = 4(y + y) + 2
4y? + 2 = 4(y x y) + 2
с
D
Answer:
D - 4(y x y) + 2
Step-by-step explanation:
(y x y) + y2
4 x y2 = 4y2
which gives you 4y2 + 2
3 A circle centered at the origin has a radius
of 7 units. The terminal side of
a 210 degree angle intercepts the circle in
Quadrant III at point C. What are
the coordinates of point C?
Step-by-step explanation:
x = 7 cos 210 = 7×(-½√3) = -3.5√3
y = 7 sin 210 = 7×(-½) = -3.5
point C (-3.5√3 , -3.5)
One batch of walnut muffins use 1 1/3 cups of walnuts.How many cups of walnuts are needed to 3 3/4 batches of muffins, answers are only 5 cups, 3 3/12 cups, 5 1/12 cups, and 4 cups, there are no 3 1/4 cups
Answer:
5 cups
Step-by-step explanation:
Let us set it up as a fraction.
[tex]\frac{\frac{11}{3}}{1}=3\frac{\frac{3}{4}}{x}[/tex]
Step 1: Divide the given values
[tex]\frac{11}{3}\div 1 \\\\=\frac{11}{3}[/tex]
Step 2: Multiply the result by the other value
[tex]3\frac{3}{4} \\\\3\frac{3}{4} \times \frac{11}{3}\\\\= 13\frac{1}{4}[/tex]
So, with this solution, the answer is [tex]13\frac{1}{4}[/tex]. However, the answer isn't included in the options provided, so that means the answer is 5 cups.
hey! i’ll give brainliest please help
Answer:
I think it's D
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
They are anxious to get their results
An n-sided polygon has one interior angle of 90°. The other interior angles are all equal.
If the size of one of the equal angles is 150°, calculate the value of n.
Use long division to find the quotient below.
(2x3 + x2 + 25) /(2x+5)
Answer:
x^2 -2x +5
Step-by-step explanation:
x^2 -2x +5
----------------------------------------------------------
2x + 5 / 2x^3 + x^2 + 0x + 25
-(2x^3 + 5x^2)
----------------------------
-4x^2 + 0x
-( -4x^2 - 10x )
-----------------------------------------
10x + 25
-(10x + 25)
---------------------------
0
The desired quotient is x^2 -2x +5
What is the slope, m, and the y-intercept of the line that is graphed below?
Answer:
m=1 (0,3)
Step-by-step explanation:
m=1
slope is 1 because from left to right the line goes up and you move one 1and one to the left so m=1/1 =1
y-intercept is at (0,3) because is where the line intersects the y-axis
2,668 ÷ 53 (Im putting this because it has to be 20 characters or more)
Answer:
50.33962264
Step-by-step explanation:
brainlest pls
Answer:
the answer is 50.33
Step-by-step explanation:
someone check out my recent question
Emily is buying new cold-weather gear for her family. She pays $100 for 5 pairs of waterproof gloves that each cost the same amount. Four of the pairs of gloves are mittens. Which expression represents the total cost of the 4 pairs of mittens?
5÷100=x
x=20
100-20=80
80= the total cost of the 4 pairs of mittens
A bag contains 25 red cubes, 15 green cubes, 12 blue cubes, and 8 yellow cubes. The cube is picked at random from the bag. Find each probability as a fraction is lowest terms
Answer:
25/70=red cubes
15/70=green cubes
12/70=blue cubes
8/70=yellow cubes
Step-by-step explanation:
you have to add up all the cubes together and get 70 so you have to see the possibility of getting each cube from the bag.
sorry if you get this wrong
Answer:
Step-by-step explanation: Alright so first add up how many cubes there are in total - 25 + 15 + 12+ 8 = 60. Then, each color cube is its number out of 60. So, for example, for 25 red cubes, it would be 25/60 as a fraction and that’s the probability as a fraction for the red cubes. So:
red = 25/60
green = 15/60
blue = 12/60
yellow = 8/60
then simply the fractions.
25/60 —> 5/12
15/60 —> 1/4
12/60 —> 1/5
8/60 —> 2/15
I hope that helped!
Someone please help me thank you
Answer:
[tex]y=-\frac{1}{3}x+-7[/tex]
Step-by-step explanation:
The graph shows a negative slope with 3 units in between each point.
Every 3 x-units, the y-unit goes up once.
Can someone please help me?
A bakery sells ten different types of bread. The amount of cups of sugar in each bread
recipe is shown.
1
2
1
4
4
3
4
ili i
13
1
2
1
2
What is the mean amount of sugar in these recipes?
Answer:
3/4 cups
Step-by-step explanation:
Adding the fractions
1/4 + 1/2 + 1/4 + 3/4 + 1 + 1 1/2 + 1/2 + 1 3/4 + 1/2 + 1/2
And the the L.C.M to be 4
=30/4
=15/2
Mean = 15/2 ÷ 10
=15/2 × 1/10
3/4
The list shows the scores posted by a professional golfer for his last ten rounds of golf. , Scores for 18 Holes of Golf 67 68 69 69 69 71 71 72 73 75 Question What is the median of the data set? ( NEED HELP ASAP)
Answer:
The correct answer is 70
Step-by-step explanation:
What percent of 8 is 6? pls give a detailed explanation thanks
Answer:
x/100 x 8 = 6
8x/100 = 6
x100 x100
8x = 600
Divide by 8 on both sides:
X = 75
Consider a percent out of 100. 'Of' meaning multiplication. 'is' meaning equal to that number.
(unknown number/percent)x/100 x 8(of 8) = 6(is 6)
square root of 7396 by division method
Answer:
the square root of 7396 by long division method is 86
Answer the picture fast and correct
Answer:
8.75
Step-by-step explanation:
( 4×8) +3 = 35/4= 8.75
Answer:
8.75
Step-by-step explanation:
I think sorry that's only i know
which type of parent function is f(x) = 3^x?
Answer:
c
Step-by-step explanation:
because there is a 3 in front of the root it is a cubed root since
2= square- the two is invisible but its there
3= cubed
please answer!!
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and yintercept at (0, -1)?
A. y= 4x+1
B. y= 1x-1
C. y=-x-1
D. y= 4x-1
Hi there!
[tex]\large\boxed{\text{ B. } y = 1x - 1}[/tex]
Recall that the equation of a line is:
y = mx + b, where:
m = slope
b = y-value of the y-intercept.
We are given that the slope is 1 and the y-intercept is -1, so:
m = 1
b = -1
The correct equation is B. y = 1x - 1
Simplify and give me steps please.
(5m^4/3 x 5n^1/4) (m^1/3 x 2n^1/8)
Answer:
(25m^4n^1/12)(m^1n^1/12)
Step-by-step explanation:
Re-order terms to the left.
(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)
Combine terms
(5*5m^4n^1/3/4) 2m^1n^1/3/3/8
Multiply
(25m^4n^1/3/4) 2m^1n^1/3/3/8
(25m^4n^1/3 * 4) 2m^1n^1/3/3*8
(25m^4n^1/12). 2m^1n^1/3/24
cancel common terms in both num and denominator
Final - (25m^4n^1/12) (2m^1n^1/12).
help fr now i am in danger x_x
Answer:
B, it's a reflection over the y-axis
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It's B because all your doing is flipping the image over the y-axis
5x - 7 = 2x + 11
x = ?
Answer:
6
Step-by-step explanation:
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-7 + 5x + -2x = 11 + 2x + -2x
Combine like terms: 5x + -2x = 3x
-7 + 3x = 11 + 2x + -2x
Combine like terms: 2x + -2x = 0
-7 + 3x = 11 + 0
-7 + 3x = 11
Add '7' to each side of the equation.
-7 + 7 + 3x = 11 + 7
Combine like terms: -7 + 7 = 0
0 + 3x = 11 + 7
3x = 11 + 7
Combine like terms: 11 + 7 = 18
3x = 18
Divide each side by '3'.
x = 6
Simplifying
x = 6
Answer:
x=6
Step-by-step explanation:
Solve 5x−7=2x+11.
Subtract 2x from both sides.
5x−7−2x=2x+11−2x
3x−7=11
Add 7 to both sides.
3x−7+7=11+7
3x=18
Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{18}{3}[/tex]
x=6
Answer:
x=6
Find the 5th term in the expansion of (a + b)º in simplest form.
Answer:
[tex]5^{th} term = 126a^5b^4[/tex]
Step-by-step explanation:
[tex]\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i\\\\(a + b)^9 =\sum _{i=0}^9\binom{9}{i}a^{\left(9-i\right)}b^i\\\\[/tex]
[tex]=a^9 + 9a^8b + 36a^7b^2 + 84a^6 b^3 + 126a^5b^4+ 126a^4b^5+84a^3b^6+ 36a^2b^7+ 9ab^8+b^9[/tex]
[tex]5^{th} term = 126a^5b^4[/tex]
PLS HELP THIS IS URGET ILL GIVE 100 POINTS
BOTH OR ONE QUESTION ANSWER WILL DO
Solve the linear systems using the substitution method. 2x-3y=-1 x=y+1
Please explain the steps too. Thank you. :)
Answer:
x =1 and y=-1
Step-by-step explanation:
2x - 3y=-1
x-y=1
there for ok there is a lot of steps i had to do so ill take a pic of it
and the big one is the first one
factorise completely
a). 3xy - 9x
b). x² - 4
c). 2x² + 5y + 1
Answer:
a) 3x(y-3)
b) (x-2)(X+2)
Step-by-step explanation:
See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)
PLEASE HELPPP
identify the solution to the system of equations
Answer:
x= y=2
Because that's why the lines intercepts
product of the polynomial (2y+3)(3y^2+4y+5)
A.15y3 + 17y2 + 22y + 15
B.6y3 + 17y2 + 22y + 15
C.6y3 + 20y2 + 22y + 15
D.6y3 + 17y2 + 22y + 25