The probability that the mean number of hours spent playing video games is less than 42.8 hours is 0.15866
we are given the mean of ( m )= 43 hours and the standard deviations (s) of 2 hours, where the sample size (n) = 100.
Obtain the Zscore ;
Z = (x - m) ÷s/sqrt(n)
Z = (42.8 - 43) ÷ 2/sqrt(100)
Z = - 0. 2 ÷ 0.2
Z = - 1
so we need the probability of P(Z < - 1), from the table of z-score the probability of a z-score of -1 is 0.15866.Hence, the probability that the mean number of hours spent playing video games is less than 42.8 hours is 0.15866
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How is p-value calculated with example?
To calculate the p-value, we have to follow the following steps:
First, identify the correct test statistic.Then, calculate the test statistic using the relevant properties of the sample.Specify the characteristics of the test statistic’s sampling distribution.Then, place test statistics in the sampling distribution to find the p-value.To calculate the p-value, we need
p = sample proportion
p' = assumed population proportion in the null hypothesis
n = sample size
Example
Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.
σₓ = σ/ √n
σₓ = 32.17 / √40
= 5.0865
Now, by applying the test static formula, we get
t = (105.37 – 120) / 5.0865
t = -2.8762
Using the table, we find the value of P(t>-2.8762)
From the table, we get
P (t<-2.8762) = P(t>2.8762) = 0.003
If P(t>-2.8762) = 1- 0.003 = 0.997
P- value = 0.997 > 0.05
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How do I solve this Quadratic expression by factoring?
Answer:
Step-by-step explanation:
Step-by-step explanation:
the highest exponent is 2, so, we expect to get 2 factors in x (as the multiplication of x×x = x²).
3 is a prime number, and the only factors to get 3 are 3 and 1
3 = 3×1
so, we expect to get factors that look like
(3x + a)(x + b)
when we do the multiplication, we get
3x² + 3bx + ax + ab = 3x² +(3b + a)x + ab
now we compare this to our original expression
3x² +(3b + a)x + ab = 3x² - 13x + 12
3b + a = -13
ab = 12
so, we know a and b must both be negative
(-×- = +, - - - = -).
the negative factors of 12 are
-12 × -1
-6 × -2
-4 × -3
which one of these pairs can make
3b + a = -13
be true ?
3×-12 + -1 = -37 no
3×-1 + -12 = -15 no
3×-6 + -2 = -20 no
3×-2 + -6 = -12 no
3×-4 + -3 = -15 no
3×-3 + -4 = -13 yes
so, our factors are
(3x - 4)(x - 3)
Do this thing please I will be very thankful
(-5,6)
(-3,3)
(-1,0)
(1,-3)
(3,-6)
Find the range of the relation.
(-6, -3, 0, 3, 6)
(-5, -3, -1, 1, 3)
(-6, -5, -3, -1, 0, 3, 6}
(-6,6)
The range of the given relation is (-6, -3, 0, 3, 6).
Range:
Basically the set contains 2 elements in it, in which set contains all the second elements, on the other hand, is known as the range of the relation.
Given,
Here we have the relation (-5,6), (-3,3), (-1,0), (1,-3) and (3,-6)
Here we need to find the range of the relation.
According to the definition of the relation,
Range refers the y values of the coordinates,
So, based on this the value of the given coordinates are extracted as,
(-5, 6) => 6
(-3, 3) => 3
(-1, 0) => 0
(1, -3) => -3
(3, -6) => -6
Now we have arrange the range values from the smallest to largest,
Therefore, the range of the relation is (-6, -3, 0, 3, 6).
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The equation y = mx + b is used to express the equation of a line. Which solution is a correct way to solve this equation for x in terms of y?
By first subtraction b and then dividing by m, the solution of the linear equation for x is:
(y - b)/m = x
How to solve the linear equation for x?Here we have a linear equation that defines the variable y in terms of the variable x:
y = m*x + b
Where m and b are real numbers.
Now we want to find x in terms of the variable y, this means that we need to isolate the variable x.
if first we subtract b in both sides, we get:
y - b = m*x + b - b
y - b = m*x
If now we divide both sides by m, we get:
(y - b)/m = m*x/m
(y - b)/m = x
This is the linear equation solved for x.
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Answer:If you’re using imagine math it will be the the third one
Step-by-step explanation:
PLEASE I REALLY NEED THIS ANSWER
An elevator can carry 24 adults or 40 children at one time during the course of a day the elevator Carrie’s a full passenger load 74 times if all the passengers were children how many people would the elevator Carry than if all the passengers were adults
Using simple mathematical operations, we know that the lift will carry 1,120 more children than adults in a day.
What do we mean by mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value.
The quantity of operands affects the operation's arity.
parentheses, exponents, multiplication, division, and PEMDAS.
So, to calculate how many more children the lift carries in a day:
The number of adults the lift can carry is 24.
The number of children the lift can carry is 40.
The lift carries people at full capacity 70 times.
Now, calculate as follows:
24 × 70 = 1,680
40 × 70 = 2,800
Difference:
2,800 - 1,680 = 1,120
Therefore, using simple mathematical operations, we know that the lift will carry 1,120 more children than adults in a day.
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Choose the multiplication equation that is represented by the model (will give brainlist thingy)
0.9 x 0.8 = 0.72
0.9 x 0.2 = 0.18
0.1 x 0.8 = 0.08
0.9 x 0.6 = 0.54
Answer:
0.9*0.8=0.72
Step-by-step explanation:
there are 9 squares across the top and 8 square downward so the only equation similar to this is the first equation.
Answer: 0.9 x 0.8 = 0.72
Step-by-step explanation:
dark gray is 9 x 8, divide both numbers by 10, you get 0.9 x 0.8 = 0.72
pleaseeeee help me asap
Answer: x=30 degrees
Step-by-step explanation:
A triangle has 180 degrees, so:
90+x+20+x+10=180
90+2x+30=180
2x+30=90
2x=60
x=30
Guided Problem Solving You have a class photo that is 10 in. long and 8 in. wide. If you want to enlarge your photo to be 15 in. long, how wide will the photo be?
Understand the Problem You know the dimensions of the original photo and the length of the enlarged photo. Find the width of the enlarged photo.
Make a Plan Draw the figures and label their sides.
The width of the enlarged photo is 12 inches
The length of the original photo = 10 inches
The width of the original photo = 8 inches
The length of the enlarged photo = 15 inches
The width of the enlarged photo = x
Then the proportion of the length and width of the original and enlarged photo will be
10 / 8 = 15 / x
Cross multiply the terms
10x = 15 × 8
Multiply the terms in the equation
10x = 120
Divide both side of the equation by 10
10x / 10 = 120 / 10
x = 120 / 10
Divide the terms
x = 12 inches
Hence, the width of the enlarged photo is 12 inches
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The population of a city is increasing at a steady rate of 2.4% per annum.
The current population is 528 000.
What is the expected population in 4 years?
Give your answer to the nearest thousand.
The expected population of a city in 4 years is 581,000.
What is defined as the rate of population growth?The average annual rate of change in population size for a specific ethnicity, country, or region over a given time period. It expresses the proportion, usually multiplied by 100, between the annual growth in population size and also the total population in that year.Current population (P) = 528 000.
Rate of growth (r) = 2.4%
Time t = 4 years
Expected population (A) = ?
The formula used is-
A = P(1 + r/100)∧t
Put the values.
A = 528 000(1 + 2.4/100)∧4
A = 528 000 x (1.042)∧4
A = 581,000
Thus, the expected population of a city in 4 years is 581,000.
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Translate this sentence into an equation.
Six more than the quotient of a number and 7 is equal to 9.
Vani went to the store to buy some chicken. The price per pound of the
chicken is $3.50 per pound and she has a coupon for $3.25 off the final
amount. With the coupon, how much would Vani have to pay to buy 3 pounds
of chicken? Also, write an expression for the cost to buy p pounds of chicken,
assuming at least one pound is purchased.
PLEASE PROVIDE THE AMOUNT FOR P AND FOR 3 POUNDS
The cost is the cost per pound times the number of pounds minus the coupon.
If [tex]p[/tex] pounds are purchased, she will pay [tex]3.50p-3.25[/tex].
If 3 pounds are purchased, she will pay 3.50(3)-3.25=7.25.
Use front-end estimation to place the decimal point in each answer. a) 32.47 6.75 2 5 7 2 b) 118.234 19.287 1 3 7 5 2 1 c) 17.9 0.8 1 7 1
Using front end estimation, the solutions to the given problems are;
1) 25.72
2) 137.521
3) 17.1
How to use front end estimation?
Front-end estimation is defined as a particular way of rounding numbers to estimate sums and differences.
The procedure for using front- end estimation, is to add or subtract only the numbers in the greatest place value. Thereafter, we add the decimals rounded to the nearest tenth.
1) 32.47 - 6.75
First of all, let's deal with the whole numbers part;
32 - 6 = 26
Next is to deal with the decimal part to get;
0.47 is approximately 0.5 while 0.75 is approximately 0.8. Thus;
0.5 - 0.8 = - 0.3
Thus, we have;
26 + (-0.3) = 25.70
Therefore, our given solution can be written as; 25.72
2) 118.234 + 19.287
First of all, let's deal with the whole numbers part;
118 + 19 = 137
Next is to deal with the decimal part to get;
0.234 is approximately 0.2 while 0.287 is approximately 0.3. Thus;
0.2 + 0.3 =0.5
Thus, we have;
137 + 0.5 = 137.5
Therefore, our given solution can be written as; 137.521
C) 17.9 - 0.8
First of all, let's deal with the whole numbers part;
17 - 0 = 17
Next is to deal with the decimal part to get;
0.9 - 0.8 = 0.1
Thus, we have;
17 + 0.1 = 17.1
Therefore, our given solution can be written as; 17.1
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help needed asap !!!!
An airplane at an altitude of 3000 feet descends at a rate of 500 feet per mile.
Five minutes into the descent the airplane has an altitude of 500 feet.
Given that an airplane at 3,000 feet begins to descend at a rate of
500 feet per minute, it is required to write an equation to model the situation and find the altitude of the airplane after 5 minutes.
First, we can model the situation through a linear equation of the form
y = mx + b.
Then, we must identify each variable:
y = A = Altitude
m = decrease per minute = 500
x = t = minute-time
b = Airplane height = 3,000
Now, we set up the equation, substituting y, m, x, and b into the linear equation, as the situation models the descent of the airplane the slope must be negative; thus:
A(t) = 3,000 − 500t
Lastly, we must find the altitude when if t = 5:
A(5) = 3,000 − 500(5)
Solving, we obtain:
A(5)=3,000 − 2,500 = 500
Hence the answer is, Five minutes into the descent the airplane has an altitude of 500 feet.
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Tasha plants seeds in clay pots. She has 40 seeds to plant. She plants 6 seeds in each pot. How many seeds does Tasha have left over?
she would have four seeds left because 6 seeds times six pots would equal 36 seeds so subtract 36 from forty to get four
Step-by-step explanation:
Answer:4
Step-by-step explanation:6x6=36+4=40
Figure CC is the result of a transformation on Figure BB. Which transformation would accomplish this??????
Can someone please help me
(1). A translation 1 unit down
(2). A reflection over the y -axis
(3) A reflection over the x -axis
(4) A translation 1 unit up
Translation 1 unit up is the transformation which accomplish the graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
Figure C is the result of a transformation on Figure B
We need to find which transformation is used for this.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
and A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis
Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis.
The graph is just shifted slightly to right.
Figure B undergoes a translation of translation 1 unit up.
Hence translation 1 unit up is the transformation which accomplish the graph.
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Write the equation in standard form using integers
(no fractions or decimals): = −
2
3
− 1
Answer: 2x3-1
Step-by-step explanation:
(a)Bill invests Rs 75000 for 10 years at a rate of 6 % per year simple interst. Calulate the total interest he will receive.
(b) Harry invests Rs 24 000 at a rate of 7 % per annum at simple interest.After how many months will Ravi gain Rs 1260 as interst?
Answer:
Step-by-step explanation:
A = 75000(1 + (0.06 × 10)) = 120000
A = $120,000.00
B = 24000(1 + (0.07 × 0.75)) = 25260
B = $25,260.00
B=9 months
I need help please!!
Answer:
-5/3 or -1.67
Step-by-step explanation:
Answer:
-5/3
Step-by-step explanation:
Oh it's you again, I am just gonna copy paste my format from your previous question.
Use the slope formula: s=(y2-y1)/(x2-x1)
It doesn't matter the order.
Let's say -6 is x2 and 8 is y2; 3 is x1 and -7 is y1
Plug in the equation: s=[(8)-(-7)]/[(-6)-(3)]
Simplify and solve: s=[8+7]/[-9]
s = -15/9
s = -5/3
In the past month, Chau rented 5 video games and 4 DVDs. The rental price for each video game was $3.30. The rental price for each DVD was $3.80. What is the total amount that Chau spent on video game and DVD rentals in the past month?
Does anyone know how to do that?
The total amount that Chau spent on video game and DVD rentals in the past month is $31.70.
How to calculate the cost?Given that Chau rented 5 video games and 4 DVDs and the rental price for each video game was $3.30 while the rental price for each DVD was $3.80.
The Total amount that was spent will be:
= Amount spent on video games + Amount on DVD
= (5 × $3.30) + (4 × $3.80)
= $16.50 + $15.20
= $31.70
The amount is $31.70.
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An ostrich egg has a width of 12.9 cm to the nearest tenth of a centimeter. Find the minimum and maximum possible measurements.
The minimum measurement is 12.85 and the maximum measurement is 12.94 that would be equal to 12.9.
What is rounding of decimal numbers?
Look at the next digit in the correct position to determine how to round a number; if it is less than 5, round down, and if it is 5 or more, round up. The term "rounding decimals" describes the accurate rounding of decimal figures. To the nearest whole, tenth, or hundredth, we can round decimals.
Given, An ostrich egg has a width of 12.9 cm to the nearest tenth of a centimeter.
We have to find the minimum and maximum possible measurements.
If you're rounding to the nearest tenth of a centimeter, 12.85 centimeters is the smallest measurement that would equal 12.9 centimeters.
And 12.94 centimeters is the maximum measurement that would be equal to 12.9.
Therefore, the minimum measurement is 12.85 and the maximum measurement is 12.94.
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b to the power of −6 times b to the power of 11
Answer: B^5
Step-by-step explanation: truss
A line has a slope of -9 and includes the points (-9, n) and (-10, 5). What is the value of n?
n=
The value of n is calculated as -14 which was found using the slope formula and given data.
How to calculate the slope?When coordinates are provided, the following formulae can be used to determine a line's slope:
Step 1: Determine the line's coordinates.
Step 2: Enter their values into the equation slope(m) = (y₂-y₁)/(x₂-x₁).
Given: There is a line that contains the points (-9, n) (-10, 5).
We need to find the value of n.
We know that,
slope(m) = (y₂-y₁)/(x₂-x₁)
-9 = (5-n)/(-10+9)
-9(-10+9) = 5-n
90-81 = 5-n
9+5 = -n
n = -14
Therefore, the value of n is -14 which was found using the slope formula and given data.
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2[3x] = [1/2(4x+20)]2
Answer:x=10
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
Multiply the numbers
2⋅3x=[12(4x+20)]⋅22⋅3=[12(4+20)]⋅2
6x=[12(4x+20)]⋅26=[12(4+20)]⋅2
Combine multiplied terms into a single fraction
6x=[12(4x+20)]⋅26=[12(4+20)]⋅2
6x=[1(4x+20)2]⋅26=⎣⎡1(4+20)2⎦⎤⋅2
Multiply by 1
6x=[1(4x+20)2]⋅26=⎣⎡1(4+20)2⎦⎤⋅2
6x=[4x+20/2]⋅26=[4+20/2]⋅2
Re-order terms so constants are on the left
6x=4x+20/2⋅26=4+20/2⋅2
6x=2⋅4x+20/2
Cancel multiplied terms that are in the denominator
6x=2⋅4x+20/2
6x=4x+20
Subtract 4x from both sides
6x=4x+20
6−4=4+20−4
Simplify
6x-4x=4x+20-4x
2x=4x+20-4x
Combine like terms
2x=20
Divide both sides by the same factor
2x=20
2x/2=20/2
cancel 2 on both sides
20 divided by 2 is 10
so therefore,
x=10
Given that 25% of a certain volume is 30cm^3, calculate the total volume
Answer:
Step-by-step explanation:
[tex]x[/tex] x 25/100=30
25/100[tex]x[/tex]=30
25[tex]x[/tex]=3000
[tex]x[/tex]=300/25
[tex]x[/tex]=120
though the cri gin
10) Consider the graph shown. Determine the slope and write an equation in the form y = mx + b to
represent the line.
-8
A
h
8
6
Y
-2-
-4-
-6
-8
0 2
4
6
8
Answer:
Y= x+1
Step-by-step explanation:
m=2-1/ 1-0; m=1
Y-2= 1(x-1)
Y= x-1+2
Y= x+1
What’s the value of (a)?
Answer:
a=5
a=2x-5
Step-by-step explanation:
hope it helps
have a nice day!
or night
Bill is driving on the highway he begins the trip 12 gallons of gas in his car. the car use miles let represent the number of gallons of gas he has left in his tank and let D represent the total distance (in miles) traveled. Write an equation relating G to D and then graph your equation using the axes below.
graph and make a equation to support your awenser
Answer:
12 - D = X
Step-by-step explanation:
Im not REALLY x2 sure but hope its helpful