Answer:
a) 68%.
b) 84%.
c) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
d) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
e) Between 60 mph and 80 mph.
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 70 mph, standard deviation of 5 mph.
(a) Approximately what percent of cars are travelling between 65 and 75 mph?
70 - 5 = 65
70 + 5 = 75
Within 1 standard deviation, so approximately 68%.
(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit?
The normal distribution is symmetric, which means that 50% of the measures are below the mean, and 50% are above.
65 is one standard deviation below the mean, so of the cars below the mean, 68% are above 65 mph.
0.68*50% + 50% = 34% + 50% = 84%.
84%.
(c) What percent of cars are traveling at a speed greater than or equal to 80 mph?
80 = 70 + 2*10
2 standard deviations above the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean. Due to the symmetry of the normal distribution, of the other 5%, 2.5% is at least 2 standard deviations below the mean and 2.5% is at least 2 standard deviations above the mean. Then:
Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
(d) What percent of cars are traveling at a speed greater than 80 mph?
Same as item c, as in the normal distribution, the probability of an exact value is considered to be 0.
(e) 95% of cars are traveling between what two speeds?
Within two standard deviations of the mean.
70 - 2*5 = 60 mph
70 + 2*5 = 80 mph.
Between 60 mph and 80 mph.
The y-coordinate if you move five units up from the ordered pair (22, 23)
Hi there!
»»————- ★ ————-««
I believe your answer is:
28.
»»————- ★ ————-««
Here’s why:
A translation rule can be used to find the result of the point after it's found 5 units above.⸻⸻⸻⸻
[tex]\boxed{(x,y) \rightarrow (x, y + 5)}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Applying the translation rule to the point:}}\\\\(22, 23) \rightarrow (22, 23 + 5)\rightarrow(22,\boxed{28})[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Brainiest and 10 points
Answer:
the answer is 4.9
Answer:
12.25 ÷ 2.5= 4.9
the 3rd box
The step function f(x) is graphed. What is the value of f(0)? -2 -1 0 1
Answer:
0
Step-by-step explanation:
It is less than 100 and greater than 10. You use a total of 10 base ten blocks to show this number. The number of ones block is greater than the number of ten blocks. One of the digits is 7.
Answer:
70
Step-by-step explanation:
Find the value of t in rhombus WXYZ.
х
40
W
Y
t+930
N
9514 1404 303
Answer:
t = 31°
Step-by-step explanation:
Opposite angles of a rhombus have the same measure:
4t = t +93°
3t = 93° . . . . . subtract t
t = 31° . . . . . . .divide by 3
Answer:
t= 31°Step-by-step explanation:
hope it helps much too
A 40 g ball of yarn is 125 m long. What is the mass of a ball of the same yarn that is 2 km long?
Answer:
640g
Step-by-step explanation:
1000m=1km so 125m times x= 2km x is 16 so we multiply 16 by 40 to get 640 g
The mass of 2 km long yarn ball is 640.
What is mass?A measure of how much matter is in an object. This gold bar is quite small but has a mass of 1 kilogram (about 2.2 pounds), so it contains a lot of matter.
Given
40 g ball of yarn is 125 m long
To find mass for 2 km = 2000 m long yarn
[tex]\frac{40}{125} \ 2000[/tex] = [tex]\frac{80000}{125}[/tex] = 640g
Hence, The mass of 2 km long yarn ball is 640.
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is this table a function? PLEASE HELPPP
Answer:
It is a function.
Step-by-step explanation:
I would suggest use the website Desmos.
1. Find P (phone has internet or phone plays music) using this Venn diagram.

2. Explain why we need to subtract P(A and B) in the equation P(A or B) = P(A) + P(B) - P(A and B).
Answer:
tough question guy needed more points to answer
Step-by-step explanation:
MARK AS BRAINLIESTUse the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS A sin A
Answer:
See explanation
Step-by-step explanation:
Given
The attached triangle
Required
Complete the ratios
(a) sin B
[tex]\sin(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(B) = \frac{b}{c}[/tex]
(b) cos B
[tex]\cos(B)[/tex] is calculated as:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(B) = \frac{a}{c}[/tex]
(c) tan B
[tex]\tan(B)[/tex] is calculated as:
[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(B) = \frac{b}{a}[/tex]
(d) tan A
[tex]\tan(A)[/tex] is calculated as:
[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(A) = \frac{a}{b}[/tex]
(e) cos A
[tex]\cos(A)[/tex] is calculated as:
[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(A) = \frac{b}{c}[/tex]
(f) sin A
[tex]\ain(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\sin(B) = \frac{a}{c}[/tex]
Find cos0, where 0 is the angle shown. Give an exact value, not a decimal approximation. (listing BRAINLEST)
Step-by-step explanation:
everything can be found in the picture
A kite is flying 99 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 62º. Find the length of the string. Round your answer to the nearest tenth. (plz help)
Is I’m doing this right guys
Answer:
Yes you are.
Step-by-step explanation:
Just keep plugging in the values for x. Good job.
yes you r doing it right
3/4 *0=0
1. The table represents values when input into a function f(x). What is the average rate of change of f(x)
from x = 2 to x=6? Show your work.
Answer:
Step-by-step explanation:
[tex]Rate \ of\ change =\frac{f(6)-f(2)}{6-2}[/tex]
[tex]=\frac{11-(-5)}{6-2} =\frac{11+5}{4}=\frac{16}{4}=4[/tex]
Find the area of a trapezium which has 6cm,5cm and 4cm
Answer:
28 sq. cm
Step-by-step explanation:
Area of a trapezium
= height * (base + top)/2
= 4 (6+8)/2
=28 sq. cm.
What is the value of x?
Answer:
i think its 29
Step-by-step explanation:
180-64=116
116/2=58
58/2=29
Answer:What is the value of x?
Step-by-step explanation: x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
The coordinate grid represents the school playground. Which of the following accurately describes the location of a playground area? Select all that apply.
Answer:
the answer is the first one
Step-by-step explanation:
the slide is 2 under left and 4 units up from the soccer field
Find the perimeter of the figure below, in feet.
8.eft
6.6 ft
16.6A
6.6 ft
6.6 ft
eft
2 ft
6.6 ft
6.6 ft
12.4ft
12.4ft
8.2 ft
Answer:
not entirely sure but my answer is 87.6ft.
for the perimeter of the shape.
Step-by-step explanation:
I cut out the extra square-ish pieces of the sides and found
that both are 17.2 for their perimeter. so 17.2×2= 34.4
then I found the perimeter of the sides of the rectangular shape and the sides were both 18.4ft. so 2(18.4+8.2)= 53.2.
so 53.2+34.4 = 87.6ft.
What is filtration??
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\pmb{\qquad{\qquad{\qquad{\underline{\green{\underline{\sf{Filtration}}}}}}}}[/tex]
Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Please can you help with no 5
Answer:
0.0046
Step-by-step explanation:
1/6 *1/6 *1/6 = 0.00462963
What is the circumference, using 3.14 for pi.
Answer:
circumference=2πr
2×3.14×637.68mits yr correct ans.
hope it helps
stay safe healthy and happy...Answer:
Option 4: 37.68 m
Step-by-step explanation:
The formula for finding this equation is C = 2πr
So to find our answer we will first multiply 2 by 3.14 and we get 6.28. Now multiply 6.28 by 6 and we get 37.68. Therefore, 37.68 is our answer.
Which first step most directly leads to the solution of the equation below?
x^2 – 16 = 65
A. Add 16 to both sides of the equation.
B. Add -x^2 to both sides of the equation.
C. Rewrite the left-hand side as (x - 4)(x+4)
D. Rewrite the left-hand side as (x - 4)^2
2 7/9 divided by 5/6 in fraction.
The fraction after the division is A = 46 / 15
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the first fraction be p = 2 7/9
Let the second fraction be q = 5/6
Now , A = p/q
On simplifying the equation , we get
A = 2 7/9 / 5/6
A = ( 25/9 ) / ( 5/6 )
A = ( 25/9 ) x ( 6/5 )
On simplifying , we get
A = 138/45
A = 46 / 15
Hence , the fraction is A = 46/15
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2. Find(f/g)(x) when f(x) = 6x2 + 12x and g(x) = 2x2 + 8x + 8. Show your work.
Answer:
:)
Step-by-step explanation:
[tex](\frac{f}{g}) (x) = \frac{f(x)}{g(x)} = \frac{6x^2 + 12x}{2x^2 + 8x + 8}[/tex]
[tex]= \frac{6x(x + 2)}{2(x^2 + 4x + 4)}\\\\=\frac{3x(x+2)}{(x+2)(x+2)}\\\\=\frac{3x}{(x+2)}[/tex]
2. A right triangle has side lengths d ,e, and f. (SHOWN IN THE PICTURE). Use the lengths to find. (PLZ HELP)
Answer:
Really?
cos(x) = f/e
tan(x) = d/f
sin(x) = d/e
The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Enter an equation that gives the number of servings y in x pints.
Use only decimal form, if necessary. Frozen Yogurt 9 COR Servings 3 2 1 Pints 3 31 5 6 18 9 The equation is y =
Answer:
Please rephrase the question.
Step-by-step explanation:
The cost of 5 diesels is $1025. Calculate the cost of 17diesels
Solve for the missing angle measures.
Answer:what were the anwsers
Step-by-step explanation:
Solve each equation for 0 ≤ θ 2π -2√2=-4sin 2θ
Answer:
Step-by-step explanation:
Begin by dividing both sides by -4 to get:
[tex]\frac{\sqrt{2} }{2}=sin2\theta[/tex] and then take the inverse sin of both sides to get
[tex]sin^{-1}(\frac{\sqrt{2} }{2})=2\theta[/tex] (the inverse sin undoes the sin on the right). Now we need to look on our unit circle to find the angles where [tex]sin(\frac{\sqrt{2} }{2})[/tex] is positive. There are 2 places. Sin is positive in both QI and QII. The angles are
[tex]\frac{\pi}{4},\frac{3\pi}{4}[/tex]. Therefore, our 2 equations are
[tex]\frac{\pi}{4}=2\theta[/tex] and [tex]\frac{3\pi}{4}=2\theta[/tex]. Solving the first equation:
[tex]\theta=\frac{\pi}{8}[/tex]
and the second equation:
[tex]\theta=\frac{3\pi}{8}[/tex]
If f(x) = 8x and g(x) = 2x +1 find (f o g) (x)
Answer:
(fog) (x) = 8*(2x+1)=16x+8
Step-by-step explanation:
Look at ZV SW and ZTSW in the image below.
Which of the following is the best description for this pair of angles?
O acute
O complementary
O straight
supplementary
Answer:
Supplementary is your answer
