Answer:
0.4859
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
mean μ = 38,000
standard deviation σ = 7,000
For.
36 ( thousand miles) = 36,000
z = (x-μ)/σ
z = 36,000 - 38,000/7000
z = -0.28571
Probability value from Z-Table:
P(x = 36000) = 0.38755
For 46 thousand miles = 46,000
z = (x-μ)/σ
z = 46,000 - 38,000/7000
z =1.14286
Probability value from Z-Table:
P(x = 46000) = 0.87345
The proportion of tires that have lifetimes between 36 and 46 thousand miles is calculated as:
P(x = 46000) - P(x = 36000)
0.87345 - 0.38755
= 0.4859
5. The total number of people who went to Disneyland this weekend was
6,405. If the ratio of boys to girls is 7 to 9 for those that attended, what was
the TOTAL number of boys and girls that went to Disneyland this weekend?
Show your work or explain your thinking.
Answer:
2,802 boys and 3,693 girls went to Disneyland this weekend
Step-by-step explanation:
System of Equations
Let's call:
b = Number of boys who went to Disneyland this weekend.
g = Number of girls who went to Disneyland this weekend.
The first condition states there was a total of 6,405 people who went to Disneyland this weekend, thus:
[tex]b+g=6,405\qquad\qquad [1][/tex]
The second condition states that the ratio of boys to girls is 7 to 9. This can be written as:
[tex]\displaystyle \frac{b}{g}=\frac{7}{9}\qquad\qquad [2][/tex]
To eliminate denominators, multiply [2] by 9g:
[tex]\displaystyle (9g)\frac{b}{g}=(9g)\frac{7}{9}[/tex]
Simplify:
[tex]9b=7g\qquad\qquad [3][/tex]
From [1]:
[tex]b=6,405-g[/tex]
Substituting into [3]
[tex]9(6,405-g)=7g[/tex]
Operating:
[tex]57,645-9g=7g[/tex]
Simplify:
[tex]16g=57,645[/tex]
Solve:
[tex]g=57,645 / 16 \approx 3,603[/tex]
Take the approximate value:
g=3,603
Find b:
[tex]b=6,405-3,603=2,802[/tex]
2,802 boys and 3,693 girls went to Disneyland this weekend
Note: Due to the nature of the problem, the results had to be rounded to the nearest integer. This condition makes the ratio not being exactly as required.
What kind of sequence is this? 1, 8, 64, 512, ...
arithmetic, geometric, neither or both
Answer:
Geometric
Step-by-step explanation:
It has a consistent multiple-factor by which it increases (8).
Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet
Given: (10,900) (20,1600)
Answer: 2nd choice on Ed
Step-by-step explanation:
Answer:
B
2400ft
Step-by-step explanation:
In other words it’s....?
Answer:
ummmmmwm whatttt
Step-by-step explanation:
vbbbbhh
CAN YOU HELP ME PLEASE
Answer:
just doing this for the gram
Step-by-step explanation:
say hi
The side lengths 4, 4, and 10 can form a triangle. True False
Answer:
false
Step-by-step explanation: ...
the circumference of the circle is 23 inches what is the radius of the circle?
Answer:
The radius is 3.66 if you need to round it would be 3.70.
Step-by-step explanation:
r= c/2[tex]\pi[/tex]
23/2pi= 3.66
The radius of the circle for the circumference of the circle is 23 inches is,
⇒ r = 3.66 inches
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The circumference of the circle is 23 inches.
Now, We know that;
The circumference of the circle = 2πr
Where, r is radius of the circle.
Hence, We get;
⇒ 2πr = 23
⇒ πr = 23/2
⇒ 3.14 × r = 11.5
⇒ r = 11.5 / 3.14
⇒ r = 3.66 inches
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helpp meeee will award brainliest
In the game of roulette, a wheel consists of 38 slots, numbered 0, 00, 1, 2, ..., 36. To play the game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are green, the odd numbers are red, and the even numbers are black. To simulate outcomes from spinning the wheel, a researcher used the integer distribution to randomly generate 1000 numbers from 1 to 38, where 37 represents 0 and 38 represents 00.
Required:
a. What is the probability that the metal ball lands on green or red?
b. What is the probability that the metal ball does not land one green?
Answer:
hkkkkkkkkv
Step-by-step explanation:
khvvvvvvvvvvvvvvv
What is the interquartile range (IQR) of the salaries?
25
35
70
100
Answer:
First you order the data from least to greatest
then find the mean
next you Calculate the median of both the lower and upper half of the data
The IQR is the difference between the upper and lower medians.
Step-by-step explanation:
10a^2b^0 for a=–3, b=–8
Answer:
90Step-by-step explanation:
Substitute a = -3 and b = -8 to the expression 10a²b⁰:
10(-3)²(-8)⁰ = 10(9)(1) = 90
a⁰ = 1 for any real number
Answer:
90
Step-by-step explanation:
10a^2b^0
Let a=–3, b=–8
10 (-3)^2 ( -8)^0
10 * 9 *1
90
An object is moving at a speed of 32 yards per hour. Express this speed in feet per day.
Answer
2304 feet per day
Step-by-step explanation:
The object will move 2304 feet per day.
What is speed ?Speed is the distance an object moves in per unit of time.Speed is a scaler quantity because in speed the direction is not specified.
According to he given question an object is moving at a speed of 32 yards per hour.
We know 1 yard is = 3 feet.
∴ 32 yards is = 3×32 = 96 feet.
So, the object is moving at a speed of 96 feet per hour.
We also know that 24 hours is = 1 day.
The object moves 96 feet hour.
∴ The will move (96×24) feet per day.
= 2304 feet per day.
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Which is a perfect square?
Answer:
2 by 2
Step-by-step explanation:
or 4 by 4 I think I mean that would be mine
Answer:
The perfect squares are the squares of the whole numbers: 1 4 9 16 25 36 49, 64, 81, 100 Here are the square roots of all the perfect squares from 1 to 100. 1
Step-by-step explanation:
Just the picture, Geometry.
The correct options are :-
Option (b) x + y = 180 Option (c) y = z Option (d) x + z = 180Option b is correct because angle x and y will add up to 180° as they are a linear pair . Option c is correct because angle y and angle z are vertically opposite angles . Option D is correct because angle x and angle z are a linear pair .
Please help...
Solve using the method of your choice:
[tex]2 {x}^{2} + 3x - 2 = 0[/tex]
Answer:
x=½, -2
x= 0.5, -2
possibly im not perfect
-cz+6z= tz+83
solve for z
Answer:
z = 83 /( -c+6-t)
Step-by-step explanation:
-cz+6z= tz+83
Subtract tz from each side
-cz+6z -tz= tz-tz+83
-cz+6z- tz=83
Factor out a z
z( -c+6-t) = 83
Divide by ( -c+6-t)
z( -c+6-t)/( -c+6-t) = 83 /( -c+6-t)
z = 83 /( -c+6-t)
What is the relationship between x and 86?
Answer:
C
Step-by-step explanation:
the answer is C because they are on alternate sides and they are on the exterior meaning the outside.Answer:
alternate exterior angles
Step-by-step explanation:
Add parentheses to make 6-9-2+3x6 equal to 17
Answer:
6-(9-2)+3x6
Step-by-step explanation:
hope it helps
As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
How many squares should he use for the sixth stage?
Answer:
15 square for six stage
Answer:
21
Step-by-step explanation:
stage 1: 1
stage 2: 3
stage 3: 6
the pattern is that the number of squares increases everytime by the stage number it is. for example stage 2 has 3 squares. to find stage 3 you start off with 3 squares (from stage 2), and add the stage number (stage 3). 3+3=6 so stage 3 has 6 squares.
stage 4: 10 (6+4)
stage 5: 15 (10+5)
stage 6: 21 (15+6)
A report revealed that the average no. of months that an employee stays in a factory is 36 months. Assuming that
the no. of months of an employee tenure in the factory is normally distributed with a standard deviation of 6
months, find the probability that a certain employee will stay:
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months
Answer:
a) P [X ≥ 30 ] = 0,8413 or 84,13%
b) P [X < 24] = 0,0228 or 2,28 %
c) P [ 24 < X < 48 ] = 0,9544 or 95,44%
Step-by-step explanation:
z = ( X - μ₀ )/σ
μ₀ the mean ( average no. of months that an employee stay in a factory)
σ standard deviation
a) P [X ≥ 30 ] = 1 - P [X < 30 ]
P [X < 30 ]
We look for z (score)
z = ( X - μ₀ )/σ ⇒ z = 30 - 36 / 6
z = - 1
From z table we get for -1
P [X < 30 ] = 0,1587
And
P [X ≥ 30 ] = 1 - P [X < 30 ] ⇒ P [X ≥ 30 ] = 1 - 0,1587
P [X ≥ 30 ] = 0,8413 or 84,13%
b) P [X < 24]
z (score) = ( 24 - 36 ) / 6
z( score) = -2
And from z table we get:
P [X < 24] = 0,0228 or 2,28 %
c) P [ 24 < X < 48 ] is P[X ≤ 48] - P[X ≤ 24]
P [X < 48]
s (score) = 48 - 36 / 6 ⇒ z = 2
P [X < 48] = 0,9772
Then
P [ 24 < X < 48 ] = 0,9772 - 0,0228
P [ 24 < X < 48 ] = 0,9544 or 95,44%
A falcon flew 70 miles in 3 hours. What was the speed of the falcon?
speed = distance over time
1 mile = 1609 meters.
Answer:
37543.3333333 meters per hour
Step-by-step explanation:
Evaluate the expression when b= 2.
12 - b =
Answer:
Well, if b = 2, then 12 - b = 10
Step-by-step explanation:
hope this helps, lol! <3
The grocery store sells cantaloupes for $4.50 per pound. Write a function c to
represent the cost for the number of pounds of cantaloupes bought, p.
Answer:
the equation is c=4.50p
Step-by-step explanation:
Approximately how many litres is 70 fluid ounces?
Use the conversion 20 fluid ounces = 1 pint and 1 3|4 pints = 1 litre
The value of 70 fluid ounces in liters would be, 2.065 liters
Used the concept of measurement unit that states that,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
To change 70 fluid ounces in liters.
Since we know that,
1 fluid ounce = 0.0295 liters
Hence, change the units of 70 fluid ounces in liters,
1 fluid ounce = 0.0295 liters
70 fluid ounce = 70 × 0.0295 liters
= 2.065 liters
So, we get;
70 fluid ounce = 2.065 liters
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Choose the fraction that goes in the blank 1/2< <4/5
Answer:
What are the answer choices?
Step-by-step explanation:
The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part A: What is the constant of proportionality shown in the graph? *
The graph is missing, so i have attached it;
Answer:
Constant of proportionality = 0.75
Step-by-step explanation:
From the graph attached, we are given 3 coordinate points of (x, y) namely;
(120, 90), (250, 187.5), (400, 300)
Now, constant of proportionality for each coordinate point is simply;
k = y/x
Thus, for first coordinate point (120, 90),
k1 = 90/120
k1 = 0.75
For 2nd coordinate point (250, 187.5),
k2 = 187.5/250
k2 = 0.75
For third coordinate point (400, 300),
k3 = 300/400
k3 = 0.75
From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.
How do you do this question?
Answer:
Divergent
Step-by-step explanation:
an = 3 sin(2/n)
Choose bn = 3 (2/n).
Using Limit Comparison Test:
lim(n→∞) an / bn
= lim(n→∞) [3 sin(2/n)] / [3 (2/n)]
= lim(n→∞) [sin(2/n)] / (2/n)
= 1
The limit is greater than 0, and bn diverges, so an also diverges.
a cylinder made of metal has radius of 18 cm and height 40 cm if melted how many smaller cylinders of radius 2 cm and height 5 cm can be made
Answer:
648
Step-by-step explanation:
Volume of a cylinder =Pi× r²×h
volume of the cylinder before melted
v=Pi×18²×40
v=40715.04cm³
Volume of the smaller cylinder
v=Pi×2²×5
v=62.83
40715.04÷62.83
=648.019
=648 small cylinder can be made
How does 5(x - 3) = 7x ÷ 2 become 10(x - 3) = 7x?
a.) Division Property
b.) Addition Property
c.) Multiplication Property
d.) Subtraction Property
please help me!! i’ll love you forever
Answer:
Option A
Step-by-step explanation:
Rearrange and simplify them
First we simplify
5.78 , -5.9 , 58%(58/100) or 5.8 , -5.75
Now we rearrange
-5.9 , -5.75 , 5.78 , 5.8
The larger the number in negative is the smallest.
So option A is the answer