Answer: sample mean = 495
Step-by-step explanation:
Given that :
Population mean = 495
Population standard deviation = 118
Sample size = 100
The sample mean according to the central limit theorem will be the same as the population mean ; According to the central limit theorem, the sample mean converges to the population mean as the sample size becomes larger, according to the theorem, usually once the SAMPLE size is greater than 30.
Here, the sample size is 100, Hence, the sample mean, will be equal to the population mean.
Sampling distribution of average score = 495 = population mean
Liza needs help to solve this linear equation.
4(x – 5) + 2x = 9x – 2(4 + 2x)
She has completed two steps, but now she’s stuck. Examine her work.
1. 4x - 20 + 2x = 9x - 8 - 4x
2. 6x - 20 = 5x - 8
What could be the next step? Select all that apply.
Add 8 to both sides.
Add 5x to both sides.
Subtract 6x from both sides.
Subtract 20 from both sides.
Divide both sides by –8.
Divide both sides by –20.
Answer: It is A and C:
A: Add 8 to both sides
C: Subtract 6x from both sides
Answer:
this would be your answer
Step-by-step explanation:
Tanya has 44 quarters and dimes worth$8.30. how many of each type of coin does she have
Tanya has 26 quarters and 18 dimes.
Given that Tanya has 44 quarters and dimes which worth $8.30, we need to find the number of each coin type,
To find the same we will use the concept of system of Linear equations,
Let's solve this problem step by step.
Let's assume Tanya has x quarters and y dimes.
The value of x quarters is 25x cents.
The value of y dimes is 10y cents.
According to the given information, the total value of the quarters and dimes is $8.30, which is equivalent to 830 cents. So we have the equation:
25x + 10y = 830 ...........(Equation 1)
Tanya has 44 coins in total:
x + y = 44 ...........(Equation 2)
Now, we can solve this system of equations (Equation 1 and Equation 2) to find the values of x and y.
Multiplying Equation 2 by 25, we get:
25x + 25y = 1100 ...........(Equation 3)
Subtracting Equation 3 from Equation 1, we eliminate the x term:
25x + 10y - (25x + 25y) = 830 - 1100
-15y = -270
Dividing both sides by -15, we get:
y = (-270)/(-15) = 18
Substituting the value of y back into Equation 2, we can find x:
x + 18 = 44
x = 44 - 18 = 26
Therefore, Tanya has 26 quarters and 18 dimes.
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which ordered pair could ba added to this function
Answer:
(1,7)
Step-by-step explanation:
in order for something to be a function, each x value can only have one y value (vertical line test). because all of the other answers use x values that were previously assigned a y value, (1,7) is the only one that works.
plz help tytytt very muchhhh:)))
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
In all of these I just plugged in for x
Checking choice (1):
[tex]2x+1>15\\2(9)+1>15\\18+1 >15\\19>15[/tex]
This is true so it's not the right answer.
________________________________________________________
Checking choice (2):
[tex]2x+1>15\\2(7)+1>15\\14+1>15\\15>15[/tex]
This is false so this is the answer.
But we'll just check the others just in case.
_________________________________________________________
Checking choice (3):
[tex]2x+1>15\\2(10)+1>15\\20+1>15\\21>15[/tex]
This is true so it can't be the answer.
_________________________________________________________
Checking choice (4):
[tex]2x+1>15\\2(15)+1>15\\30+1>15\\31>15[/tex]
This is true so it can't be the answer.
_________________________________________________________
Now we found out that the answer is Choice 2.
I need some help please and thank you
Answer:
its A
Step-by-step explanation:
Luke and Liam found an old castle on a recent hike.
15°
125
The sign said the tower was 30 meters high. Because of social distancing, Luke and Liam stood
meters apart while looking at the top of the castle tower.
Round to the nearest meter.
Answer:
48 meters
Step-by-step explanation:
First, use trigonometric ratios formula to find the distance of each of them from the tower. The difference between their distance from the tower will give you the distance they stood apart from each other.
Distance of the first person from the Tower with am angle of elevation of 25°:
Height of the tower = 30 meters (opposite side)
Distance from the tower = x (adjacent side)
[tex] tan(25) = \frac{opp}{adjacent} [/tex]
[tex] tan(25) = \frac{30}{x} [/tex]
Multiply both sides by x
[tex] tan(25)*x = 30 [/tex]
Divide both sides by tan(25)
[tex] x = \frac{30}{tan(25)} [/tex]
[tex] x = 64 m [/tex] (nearest whole number)
Distance of the second person from the Tower with am angle of elevation of 15°:
Height of the tower = 30 meters (opposite side)
Distance from the tower = x (adjacent side)
[tex] tan(15) = \frac{opp}{adjacent} [/tex]
[tex] tan(15) = \frac{30}{x} [/tex]
Multiply both sides by x
[tex] tan(15)*x = 30 [/tex]
Divide both sides by tan(15)
[tex] x = \frac{30}{tan(15)} [/tex]
[tex] x = 112 m [/tex] (nearest whole number)
Distance between both of them = 112 - 64 = 48 meters
3. A bowling alley charges $1.50 for bowing shoes and $3.75 for each game. Paul and
Brandon each have $15 to spend at the bowling alley.
a Paul brings his own bowling shoes. How many games can he bowi?
b. Brandon needs to pay for bowling shoes. How many games can he bowl? Round
your answer down to the nearest whole number.
c. Both Paul and Brandon decide to bowl the number of games that Brandon can
afford to bowl. Does Paul have enough money to buy a slice of pizza and a soda
that cost a total of $3.25? Explain your reasoning.
Answer:
A. Paul can bowl 4 games.
B. Brandon can bowl 3 games.
C. Yes, Paul can have a pizza and a soda. Paul, with his bowling shoes, can afford exactly four games. When playing three games, Paul has a remained of $3.75
Solve the following equation step by step and justify your steps when using an exponential property.
Answer:
-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
:)
Devante invests $4000 in two different accounts. The first account paid 6 %, the second account paid 11 % in interest. At the end of the first year he had earned $320 in interest. How much was in each account?
$
at 6 %
$
at 11 %
Answer:
y=1600
x=2400
Step-by-step explanation:
x+y=4000
solve for a variable
x=4000-y
plug this into .06x+.11y=320 (the interest from account 1 + account 2 must equal 320)
.06(4000-y)+.11y=320
240-.06y+.11y=320
minus 240 both sides
-.06y+.11y=80
combine terms
.05y=80
divide by .05
y=1600
to find x you subtract 1600 from 4000 to get 2400
remember, your equation must be x+y=4000
x+1600=4000
-1600
x=2400
A student is asked to calculate the value of 133 using the identity (x + y)3 = x3 + 3x2y + 3xy3 + y3. The student's steps are shown below.
Step 1: 133 = (10 + 3)3
Step 2: = (10)3 + 3(10)2(3) + 3(10)(3)2 + (3)3
Step 3: = (1,000) + (180) + (270) + (27)
Step 4: = 1,477
The correct answer should be 2,197. In which step did the student make his first error?
Answer:
Step 1.
Step-by-step explanation:
You can't multiply sum of 2 random digits to the power of 3.
Twice the difference of 9 and a number.
Answer:
its something like 9-n x 2
Step-by-step explanation:
9 - n x 2
Answer: 2(x-9)
Step-by-step explanation:
trust me ;)
Tell me what 86 divided by 1204 = ?
Answer:
14
Step-by-step explanation:
1204/86 (divide by 2)
602/43 ( divide by 43)
14
I'll try to give you brainliest if you get this right.
Answer:
I literally just finished that- It should be >
Step-by-step explanation:
I hope this helps. Plus look at the what its asking then look at 26.1 and i think you should see it.
Which model shows a ratio of 1 white to 2 blue?
3 blue squares and 6 white squares.
4 blue squares and 4 white squares.
4 blue squares and 4 white squares.
6 blue squares and 3 white squares.
Answer:
3 blue squares and 6 white squares
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
The answer is 3 to 6.
3 to 6 can be represented by 3 blue squares and 6 white squares.
Answer:
It is the last one. Hope this helps (:
Step-by-step explanation:
what is -x-2
Please help me!
Answer:
I think that it might be a type-o on the assignment. If I was you I would email your teacher.
2 × 10-6 times what number is equal to 6 × 10-4
Answer:
-6
Step-by-step explanation:
1
Plot the image of point B under a dilation about point P with a scale factor of
1/2
Answer:
can you put the picture of the pre-image bc without it i cant answer
Step-by-step explanation:
Answer:
Where is the picture put a picture
Step-by-step explanation:
A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 10 ft away from the lampost
This question is not correctly written
Complete Question
A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 11 ft away from the lampost?
Answer:
7.26ft/s
Step-by-step explanation:
A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 11 ft away from the lampost?
Let x = distance of person to the tip of the lamp post
= 6/x = 11/d
Cross Multiply
6d = 11 x....... Equation 1
The constant rate of the person = 3.3 ft/s
= Distance of the person to the pole = Speed × time
= 3.3 × t
d = 3.3t
x = d - 3.3t
Substitute d - 3.3t for x in Equation 1
6d = 11x
6d = 11(d - 3.3t)
6d = 11d - 36.3t
36.3t = 11d - 6d
36.3t = 5d
d = 36.3/5
d = 7.26 ft/s
Write the equation of the graph in its final position.
The graph of y = ex is translated 7 units to the right and then 5 units upward.
what did you guys get?
The new function after the transformation becomes as y = eˣ⁻⁷ + 5. The correct option is (d).
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as f(x - a).
For left shifting it is f(x + a).
And, for up and down shift it is a + f(x) and a - f(x) respectively.
Given that,
The graph of y = eˣ is translated 7 units to the right and 5 units upward.
According to the rule of transformation for a graph, when a function is shifted righwards, it becomes as f(x - a) and when it is shifted upwards it becomes a + f(x).
Apply the above mentioned rule for the given function to obtain,
y = eˣ⁻⁷ + 5
Hence, the function resulting after being shifted 7 units rightwards and 5 units upwards is y = eˣ⁻⁷ + 5.
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Jarrett needs supplies for school. His mother gave him a $15.00 gift card. He purchased a package of pencils for $3.36, a notebook for $4.99 and 2 pens that cost $1.49 each. How much money does Jarrett have left on the gift card?
Answer:there is $3.67 left.
Step-by-step explanation: good luck on your assignment! :)
y= -3x what is the slope and what is the y intercept
Answer:
The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.
Step-by-step explanation:
The length of a rectangle is 3 m more than 5 times the width. The perimeter is 126
m.
What is the length?
Answer:
53m
Step-by-step explanation:
Let x = the width
Let y = the length
5x + 3 = y
2x + 2y = 126
Plug in 5x + 3 for y in the second equation
2x + 2(5x + 3) = 126
Distribute the 2
2x + 10x + 6 = 126
Combine like terms
12x + 6 = 126
Subtract 6 from both sides
12x = 120
Divide both sides by 12
[tex] \frac{12x}{12} = \frac{120}{12} [/tex]
x = 10
Remember x = width. You are looking for length.
y = 5x + 3
y = 5(10) + 3
y = 50 + 3
y = 53
Finding the quotient
Whats 2/7÷8/9?
Answer:
[tex]\frac{9}{28}[/tex]
Step-by-step explanation:
Given expression:
Find the quotient;
= [tex]\frac{2}{7}[/tex] ÷ [tex]\frac{8}{9}[/tex]
Now, let us solve the problem;
the division sign will invert [tex]\frac{8}{9}[/tex];
= [tex]\frac{2}{7}[/tex] x [tex]\frac{9}{8}[/tex]
2 will go in 8
= [tex]\frac{1}{7}[/tex] x [tex]\frac{9}{4}[/tex]
= [tex]\frac{9}{28}[/tex]
whats the GCF of 30 and 24?
the greatest common factor is 6
If math is hard and you need help comment now.
Answer:
meeeeeeeee
Step-by-step explanation:
jhcsjhabnjdf
Answer:
Ana oop sksksk For sure math is the only subject I struggle in lol
Step-by-step explanation:
A garden hose is leaking water. The graph shows how much water leaks over time.
What is the rate, in ounces per minute, that water is leaking from the garden hose?
A.36
B.6
C.4
D.12
Answer:
the answer is B
Step-by-step explanation:
because 12 divided by 2 equals 6
Ms. Leaman spends $2.00 a day on her morning coffee. How much does she spend in one week? Draw a double number line.
Answer:
She spends $2 a day, and there are 7 days a week. So, you'd multiply the amount which is 2 by the 7 days.
The amount she spends in one week is $14! I don't know how to add a double number line, so you do that part!
Step-by-step explanation:
Good luck! <3
How fast is employment for Mathematicians expected to grow
between 2016 and 2026?
O 30 percent
O 17 percent
O 28 percent
O 34 percent
Answer:
A
Step-by-step explanation:
Answer:
It's A 30%
Step-by-step explanation:
What is 1 divided by3/4
Answer:
3/4
Step-by-step explanation:
it is 3/4 anything dividing one is itself
which of the symbols correctly relates the two numbers below check all that apply
45 ? 45 is A. ≤( is less than or equal to), C. ≥(is greater than or equal to), E. = (is equal to) .
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, 45? 45.
45 ? 45 is equal to 45.
45 ? 45 is greater than or equal to 45.
45 ? 45 is less than or equal to 45.
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