Answer:
cost of paint set =$19.5
cost of Sketchbook = $13
cost of brush = $3..25
Step-by-step explanation:
Total money with Nate = $37.75
Let the cost of paint set be $x
As the Sketchbook cost 2/3 the cost of the paint set
Thus cost of Sketchbook = $(2/3)x
Cost of brush is 1/4 of Sketchbook
Thus cost of brush = (1/4)*(2/3)x =$ 1/6x
Total cost of all the three item in terms of x is
x + (2/3)x + ( 1/6)x
=>(6x+4x+x)/6 = 11x/6
Given that after money spent on buying all the three thing Nate has left $2
subtracting money spent on buying three things from total money is equal to $2
Mathematically it can be written as
$37.75 - 11x/6 = $2
=> $37.75 - $2 11x/6
=>$35.75 = 11x/6
=> $35.75*6 = 11 x
=> $214.5 = 11x
=> $214.5/11 = x
=> x = 19.5
Thus,
cost of paint set = x = $19.5
cost of Sketchbook = $(2/3)x =$(2/3)*19.5 = $13
cost of brush = $ 1/6x = $ (1/6)*19.5 = $3.25
If anyone can help me with this it will be greatly appreciated.
Answer:
it is a triangular prism .
Answer:
Triangular Prism
6 vertices
Step-by-step explanation:
What is the slope of the line through (-7,-8)(−7,−8)left parenthesis, minus, 7, comma, minus, 8, right parenthesis and (0,4)(0,4)left parenthesis, 0, comma, 4, right parenthesis?
Answer:
12/7
Step-by-step explanation:
When given two points, we can find the slope by using
m = (y2-y1)/(x2-x1)
= (4 - -8)/ (0 - -7)
= (4+8) / (0+7)
= 12/7
Answer:
The answer is 12/7
Step-by-step explanation:
I got this answer from Khan Academy.
Hope this helps! :)
QUESTION 7 Stock K is expected to return 12.4 percent while the return on Stock L is expected to be 8.6 percent. You have $10,000 to invest in these two stocks. How much should you invest in Stock L if you desire a combined return from the two stocks of 11 percent? $4,209 $3,415 $2,907 $3,684 $3,511
Answer:$3684 should be invested in stock L
Step-by-step explanation:
Let x represent the amount that you should invest in stock K.
Let y represent the amount that you should invest in stock L.
You have $10,000 to invest in these two stocks. It means that
x + y = 10000
Stock K is expected to return 12.4 percent while the return on Stock L is expected to be 8.6 percent. It means that the returns from stock K would be 12.4/100 × x = 0.124x
And the returns from stock L would be 8.6/100 × y = 0.086y
if you desire a combined return from the two stocks of 11 percent, it means that the combined returns would be
11/100 × (x + y) = 0.11(x + y)
The equation would be
0.124x + 0.086y = 0.11(x + y)- - - - - - - -1
Substituting x = 10000 - y into equation 1, it becomes
0.124(10000 - y) + 0.086y = 0.11(10000 - y + y)
1240 - 0.124y + 0.086y = 1100
- 0.124y + 0.086y = 1100 - 1240
- 0.038y = - 140
y = - 140/- 0.038
y = 3684
3/8 of a gallon of paint covers 1/4 of a wall how many gallons cover the wall
Answer:
1 1/2 or 1 4/8 gallons
Step-by-step explanation:
If 3/8 gallons of paint covers 1/4 of a wall, then the math is explained below:
3/8 times 4/1 equals 12/8 to 1 4/8 to 1 1/2. We multiply by 4 since 3/8 covers 1/4 of the wall.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
(c) Simplify fully
exexexf
————
exex fxf
Answer:
i know its a bit late but the answer below
Step-by-step explanation:
e/f
Geomertry Tangents Chords Sectors Arcs and segments! whichever one helps
Answer:
1
Step-by-step explanation:
(195 - 85)/2 = 54x+1 -->
110/2 = 54x + 1 -->
55 = 54x + 1 -->
54 = 54x -->
1 = x
The number of 3-digit telephone area codes that can be made if repetitions are not allowed is?
a. 100
b. 720
c. 1,000
d. 504
Answer:
Each of the 3 digits can be from 0 to 9, so each of the digits can have 10 values.
10 * 10 * 10 = 1,000
However, if repetition is NOT allowed, then the first digit can be ANY digit (10 possibilities). The second digit can be ANY digit except what the first digit is (9 possibilities). The third digit can be ANY digit except what the first digit is or what the second digit is (8 possibilities).
Total area codes = 10 * 9 * 8 = 720
Answer is b
Step-by-step explanation:
an item is priced at $14.16. If sales tax is 6%, what does item cost including sales tax? If necessary, round to the nearest cent
Answer:
B
15.01
6 percent of 14.16 is 0.85. Add 0.85 to 14.16 and you get 15.01
How many pieces of tape 5mm long can be cut from a piece 15cm long ?
Answer: The answer is 17 pieces is the answer..
I hope you are able to understand....
IF yes, then plz mark as brainliest...
Step-by-step explanation:
Danny Completed 40% of his homework assignment his assignment contain 30 math problems how many problems does Danny’s still need to complete
Answer:
Step-by-step explanation:
Well, he completed 12 questions, so he has 18 left.
To get the solution, we are looking for, we need to point out what we know:
We assume, that the number 30 is 100% - because it's the output value of the task.
We assume, that x is the value we are looking for.
If 30 is 100%, so we can write it down as 30=100%.
We know, that x is 40% of the output value, so we can write it down as x=40%.
Now we have two equations:
1) 30=100%
2) x=40%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
30/x=100%/40%
Now we just have to solve the equation.
30/x=100/40
(30/x)*x=(100/40)*x - we multiply both sides of the equation by x
30=2.5*x - we divide both sides of the equation by (2.5) to get x
30/2.5=x
12=x
x=12
now we have:
40% of 30=12
Then, you need to subtract 12 from 30 to figure out what is left.
Which is greater 0.6 or 0.285
Answer:0.06
Step-by-step explanation: just pretty obvious
Answer:
I believe 0.6 is greater
Step-by-step explanation:
What’s the correct answer for this?
Answer:
The second one I believe!
Answer:
A
Step-by-step explanation:
Rule => (a+b)²=a² + 2ab + b²Rule => (a-b)² = a² -2ab + b²x² - 6x - 33 = 0
x² => a²
-6x => -2ab
Therefore, b=3
9 - ..... = -33
...... = 42
x² - 6x + 9 - 42 = 0
(x -3)² - 42 = 0
(x-3)² = 42
First option is answer
Hope this helps ^-^
If u could help that would be great
Answer:
B
Step-by-step explanation:
A recent report states that 89% of Americans consider themselves above average drivers. A local newspaper is planning on conducting a survey to investigate whether this is true locally. If the newspaper assumes that the 89% claim is true and plans to use the normal approximation to calculate probabilities associated with their sample proportion, which sample size would be most appropriate?
A) 10
B) 11
C) 30
D) 91
E) The number depends on the size of the population.
Answer:
D) 91
Step-by-step explanation:
For the normal approximation, we need that:
np > 5 and np(1-p) > 5
In this question:
[tex]p = 0.89[/tex]
So
A) 10
n = 10, then
10*0.89 = 8.9 > 5
10*0.89*0.11 = 0.979 < 5
Does not satisfy.
B) 11
n = 11, then
11*0.89 = 9.79
11*0.89*0.11 = 1.0769 < 5
Does not satisfy
C) 30
n = 30
30*0.89 = 26.7
30*0.89*0.11 = 2.937 < 5
D) 91
n = 91
90*0.89 = 80.1
90*0.89*0.11 = 8.881 > 5
So this satisfies, and 91 is the answer
Answer:
D) 91
Step-by-step explanation:
A higher sample size results in lower variability, therefore higher precision.
What is the next term in the number pattern 40, 43, 49, 58, 70
Answer:
85
Step-by-step explanation:
because they add 3 on ever number
Answer:
85
Step-by-step explanation:
first they added 3, then they added 6, then they added 9, and so on
Trent needs a total of $320 to buy a new bicycle. He has $35 saved. He earns $15 each week delivering newspapers. How many weeks will Trent have to deliver papers to have enough money to buy the bicycle?
Answer:
Trend wants to buy a new bicycle which costs 320$.
He has 35$ saved and earns 15$ each week.
After a number of weeks (a), the amount money he has: A = 35 + 15 x a
If Trend has enough money to buy that bicycle, we have the equation:
35 + 15 x a = 320
=> 15 x a = 320 - 35
=> 15 x a = 285
[tex]a = \frac{285}{15} = 19[/tex]
=> After 19 weeks, Trent will have had enough money to buy that bicycle
Hope this helps!
:)
goran sold t shirts and hats at a festival his total profit was 106 he made a $4 profit for each t shirt he sold. he also made a profit of $34 from selling hats how many t shirts did sell .
Write the answers in equation
Answer:
Total profit = $106
Profit made from hats = $34
Therefore to find the number of t-shirts sold
Total profit - Profit from hats = Profit from shirts
$106 - $34 = $72
And the made $4 from selling one shirt so to find the number of t-shirts sold,
*Profit of t-shirts - Profit made from one t-shirt = number of t-shirts
therefore, $72/$4= 18.
Therefore, Goran sold 18 t-shirts.
out of 150 class one- third opte for german,two fifth for italian ,and the rest for french find how many opted for french
Answer:
40 people
Step-by-step explanation:
1/3 + 2/5=11/15
15/15-11/15=4/15
15/15 x 150 x 4/15=40
What is the vertex of the graph of y = −1(x − 2)2 + 3? (1 point) (3, −2) (−2, 3) (3, 2) (2, 3)
Answer:
3,2
Step-by-step explanation:
If x = 4, calculate the value of: 2x³ - 2x² + 2x - x
Step-by-step explanation:
Putting value of x
2 (4)3 - 2(4)2 + 2(4) - 4
2 (64) - 2(16) + 8 - 4
128 - 32 + 8 - 4
= 100
Answer:
i dunno try this sorry if its wrong. Answer i got is 16.
Step-by-step explanation:
since the x = 4 and we need to calculate the value of other numbers. my answer would be this,
2 x 2 x 2 = 6, 2 x 2 = 4 add both values up to get 10, then do 10 x 2 which is 20, - 4 since x is 4.
Also i did this the way you would write it in exponent form.
What is the equation of the translated function, g(x), if
f(x)=x22
O g(x) = (x - 4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x-6)2 - 4
O g(x) = (x + 4)2 +6
Answer: D g(x)=(x+4)^2+6
Step-by-step explanation:
The correct equation of the translated function, g(x) is,
⇒ g(x) = (x + 4)² 6
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that:
The function is,
,⇒ f (x) = x²
Here, f(x) has vertex point is (0,0)
and g(x) vertex point is (-4,6)
Hence, The general form of equation with vertex is
⇒ y = a (x - h)² + k
where (h, k) are the vertex.
So, the equation of g(x) form is
⇒ g(x) = (x + 4)² + 6
Therefore, Option D is correct.
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Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States is 22 feet. Suppose clear heights are normally distributed and that the standard deviation is 4 feet. A Class A warehouse in the United States is randomly selected. (a) What is the probability that the clear height is greater than 16 feet? (b) What is the probability that the clear height is less than 14 feet? (c) What is the probability that the clear height is between 25 and 30 feet?
Given Information:
Mean clear height = μ = 22 feet
Standard deviation of clear height = σ = 4 feet
Required Information:
a) P(X > 16) = ?
b) P(X < 14) = ?
c) P(25 < X < 30) = ?
Answer:
a) P(X > 16) = 93.12%
b) P(X < 14) = 2.27%
c) P(25 < X < 30) = 20.39%
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
a) We want to find out the probability that the clear height is greater than 16 feet.
[tex]P(X > 16) = 1 - P(X < 16)\\\\P(X > 16) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 16) = 1 - P(Z < \frac{16 - 22}{4} )\\\\P(X > 16) = 1 - P(Z < \frac{-6}{4} )\\\\P(X > 16) = 1 - P(Z < -1.5)\\\\[/tex]
The z-score corresponding to -1.5 is 0.0668
[tex]P(X > 16) = 1 - 0.0668\\\\P(X > 16) = 0.9312\\\\P(X > 16) = 93.12 \%[/tex]
Therefore, the probability that the clear height is greater than 16 feet is 93.12%
b) We want to find out the probability that the clear height is less than 14 feet
[tex]P(X < 14) = P(Z < \frac{x - \mu}{\sigma} )\\\\P(X < 14) = P(Z < \frac{14 - 22}{4} )\\\\P(X < 14) = P(Z < \frac{-8}{4} )\\\\P(X < 14) = P(Z < -2)\\\\[/tex]
The z-score corresponding to -2 is 0.02275
[tex]P(X < 14) = 0.02275\\\\P(X < 14) = 2.27 \%[/tex]
Therefore, the probability that the clear height is less than 14 feet is 2.27%
c) We want to find out the probability that the clear height is between 25 and 30 feet.
[tex]P(25 < X < 30) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(25 < X < 30) = P( \frac{25 - 22}{4} < Z < \frac{30 - 22}{4} )\\\\P(25 < X < 30) = P( \frac{3}{4} < Z < \frac{8}{4} )\\\\P(25 < X < 30) = P( 0.75 < Z < 2 )\\\\[/tex]
The z-score corresponding to 0.75 is 0.7734 and 2 is 0.9773
[tex]P(25 < X < 30) = P( Z < 2 ) - P( Z < 0.75 ) \\\\P(25 < X < 30) = 0.9773 - 0.7734 \\\\P(25 < X < 30) = 0.2039\\\\P(25 < X < 30) = 20.39 \%[/tex]
Therefore, the probability that a child spends more than 4 hours and less than 8 hours per day unsupervised is 20.39%
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.5, 2.2, 0.5 etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.50 then go for 0.00 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
The length of a rectangle is twice as long as the width. If the diagonal length of the rectangle
is 60 cm, what is the perimeter of the rectangle (to the nearest centimetre)?
Provide a complete algebraic solution, including a supporting diagram.
I
Answer:
[tex] 60^2 = (2x^2) +x^2[/tex]
[tex] 3600 = 5x^2[/tex]
[tex] x = \sqrt{\frac{3600}{5}}= 12\sqrt{5}[/tex]
And we can find the perimeter as:
[tex] P= 2(2x) + 2x[/tex]
And replacing the value given for x we got:
[tex] P =2 (2* 12\sqrt{5}) + 2* (12\sqrt{5}) = 48 \sqrt{5} +24\sqrt{5} = 72 \sqrt{5} cm[/tex]
And for this case the perimeter would be approximately [tex]72 \sqrt{5} cm[/tex]
Step-by-step explanation:
For this case we can assume that the lenght is 2x the width x and the diagonal is 60 cm.
From the picture given we have a right tirngle and we can set the following equation:
[tex] 60^2 = (2x^2) +x^2[/tex]
[tex] 3600 = 5x^2[/tex]
And solving for x we got:
[tex] x = \sqrt{\frac{3600}{5}}= 12\sqrt{5}[/tex]
And we can find the perimeter as:
[tex] P= 2(2x) + 2x[/tex]
And replacing the value given for x we got:
[tex] P =2 (2* 12\sqrt{5}) + 2* (12\sqrt{5}) = 48 \sqrt{5} +24\sqrt{5} = 72 \sqrt{5} cm[/tex]
And for this case the perimeter would be approximately [tex]72 \sqrt{5} cm[/tex]
mary had 1 3/4 pound of blackberries. Mary's friend ate 3/4 of the blackberries. How many pounds of blackberries did Mary friend eat?
Hey there! I'm happy to help!
If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.
3/4×1 3/4= 1 5/16
Therefore, Mary's friend at 1 5/16 pounds of blackberries.
I hope that this helps! Have a wonderful day!
Positive numbers have negative square roots.
A. True
O B. False
Answer:
A. True
Step-by-step explanation:
calculate the mean of 0,4,7,7,8,8,8,9,9,10
Answer:
7
Step-by-step explanation:
The mean is the sum of all numbers divided by the total numbers been investigated
0+4+7+7+8+8+8+9+9+10 / 10 = 70/10 = 7
Answer:
The mean is 7
Step-by-step explanation:
mean=sum of the numbers/numbers mentioned
[tex]mean=\frac{0+4+7+7+8+8+8+9+9+10}{10}[/tex]
[tex]mean=\frac{70}{10}[/tex]
[tex]mean=7[/tex]
You roll a die. if it comes up a 6, you win $100. if not, you get to roll again. if you get a 6 the second time, you win $50. if not, you lose.
a.create a probability model for the amount you win.
b.find the expected amount you'll win.
c.what would you be willing to pay to play this game?
Answer:
a.
x $ 0 $ 50 $ 100
p (x) 25/36 5/36 6/36
b. 23.61%
c. 23.61%
Step-by-step explanation:
We have that "x" is the amount of money earned:
we have to fail twice, the probability of failure is 5/6 and the probability of hitting is 1/6, therefore if you lose the probability would be:
5/6 * 5/6 = 25/36
the one to win 50 $, would be:
1/6 * 5/6 = 5/36
and the one to win $ 100 would be:
1/6 * = 6/36
that is to say:
a.
x $ 0 $ 50 $ 100
p (x) 25/36 5/36 6/36
b. the expected amount you'll win would be:
0 * 25/36 + 50 * 5/36 + 100 * 6/36 = 23.61
c. The normal thing is to pay at least the expected amount, that is, $ 23.61, since something greater than that would already be profit.
The expected value is the sum of the product of values and their respective probabilities. Hence ;
Expected winning = $9.722 Willing amount to be paid should be any amount less than $9.722To win $100 :
P(6) × P(6) = 1/6 × 1/6 = 1/36To win $50 :
P(not 6) × P(6) = 5/6 × 1/6 = 5/36To win nothing :
P(not 6) × P(not 6) = 5/6 × 5/6 = 25/36The probability distribution table :
X : _______ $0 ______ $50 _______ $100P(X) : ____ 25/36 _____ 5/36 _______ 1/36The expected value :
E(X) = Σ[(X × P(X)]E(X) = (0 × 25/36) + (50 × 5/36) + (100 × 1/36)
E(X) = 0 + 9.7222
E(X) = 9.722
Therefore, the expected amount to be won is $9.722
Willing amount to be paid to play the game :
Any value below the expected value,
Therefore, the willing amount will be < 9.722
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The first quartile of the given data is 35. find the value of x.
X 0-20/20-40/40-60/60-80/80-100
F 2 x 8 5 1
The given value of the first quartile is related to the value cumulative
frequency up to the class of the first quartile.
The value of x is 1Reasons:
The first quartile is one of the five number summary.
The number of terms, N = 2 + x + 8 + 5 + 1 =16 + x
[tex]\displaystyle Q_1 = \frac{N+1}{4} \ th \ value = \mathbf{\frac{17 + x}{4} \ th \ value}[/tex]
We have;
[tex]\displaystyle Q_1 = \mathbf{ L + \frac{ \left (\frac{N + 1}{4} - pcf \right) }{f} \times C}[/tex]
Where;
The first quartile, Q₁ = 35
L = 20 in the first quartile class
PCF = The cumulative frequency of the first quartile class = 2 + x
f = The frequency of the quartile class = x
C = The class size = 10
Therefore;
[tex]\displaystyle Q_1 = 35 = \mathbf{ 20 + \frac{ \left (\frac{17 + x}{4} - (2 + x) \right) }{x} \times 10}[/tex]
Which gives;
[tex]\displaystyle 35 = \mathbf{\frac{25 \cdot x + 45}{2 \cdot x}}[/tex]
Therefore;
70·x = 25·x + 45
45·x = 45
x = 45 ÷ 45 = 1
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The graph shows a distribution of data,
What is the standard deviation of the data?
O 0.5
© 1.5
O 2.0
2.5
1.5
2
2.5
3
Answer:
The graph shows a distribution of data.
A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.
What is the standard deviation of the data?
0.5 <<<------- CORRECT ANSWER
1.5
2.0
2.5
Step-by-step explanation:
EDGE 2021
The standard deviation of the data is,
σ = 0.5
What is an expression?An expression which is defined as the collection of the numbers, variables and functions by using sign like addition, subtraction, multiplication, and division is called mathematical expression.
Now,
We have in the graph, there is bell-shaped along x =2.
Here, A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.
Since, The graph is symmetric around x = 2,
Hence, the mean of the data is 2.
And, The point immediate left to the mean represented by x - σ
Hence, We get;
2 - σ = 1.5
So,
σ = 0.5
Thus, The sigma represents standard deviation.
σ = 0.5
Hence, Option A is correct.
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Please answer this correctly