If Beatriz takes a simple random sample of 350 orders from the more than 5000 total to her store and finds. The probability that more than 12 percent of the sampled orders would have been returned is 0.02.
How to find the probability?Mean = n * p
Mean = 350 * 0.09
Mean= 31.5
Standard deviation = √ p * (1 - p)/n
Standard deviation = √ 0.09 * 0.91/350
Standard deviation = 0.01529
Using the normal distribution table
p>0.12
P(p>0.12) =0.02
Therefore the probability that more than 12 percent of the sampled orders would have been returned is 0.02.
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Find x and decide if that side (with the x) is an Altitude
Use a Pythagorean Triple to find x.
1.
45
2.
8
24
3.
4.
28
96
Answer:
b = 15c = 51c = 100b = 25.75Step-by-step explanation:
Using the Pythagoras theorem equation:
[tex]c^{2}=a^{2}+b^{2}[/tex]
Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.
1) Here c = 17, a = 8 and b = ?
Then, using the above equation we can find the side b.
[tex]17^{2}=8^{2}+b^{2}[/tex]
[tex]b=\sqrt{225}[/tex]
[tex]b=15[/tex]
2) Here a = 24, b = 45 and c = ?
[tex]c=\sqrt{24^{2}+45^{2}}[/tex]
[tex]c=51[/tex]
3) Here a = 28, b = 96 and c = ?
[tex]c=\sqrt{28^{2}+96^{2}}[/tex]
[tex]c=100[/tex]
4) Here a = 17, b = ? and c = 28
[tex]b=\sqrt{28^{2}-11^{2}}[/tex]
[tex]b=25.75[/tex]
Just in the 4 case x is an altitude.
I hope it helps you!
If y = 3x^4 -2x^3-7x+5, find dy/dx.
The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is
dy/dx = 12x³ - 6x² - 7.
We have,
The power rule states that if we have a term of form a[tex]x^n[/tex], the derivative with respect to x is given by [tex]d/dx(ax^n) = nax^{n-1}.[/tex]
Applying the power rule, we differentiate each term as follows:
[tex]d/dx(3x^4) = 3 \times 4x^{4-1} = 12x^3\\d/dx(-2x^3) = -2 \times 3x^{3-1} = -6x^2\\d/dx(-7x) = -7 \times 1x^{1-1} = -7[/tex]
d/dx (5) = 0 (since 5 is a constant)
Combining these derivatives, we get:
dy/dx = 12x³ - 6x² - 7
Therefore,
The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is
dy/dx = 12x³ - 6x² - 7.
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During a sale, a store offered a 30% discount on a particular camera that was
originally priced at $650. After the sale, the discounted price of the camera was
increased by 30%. What was the price of the camera after this increase?
Answer:
Step-by-step explanation:
Ten go ceiba when we go high school get gud
Write an equation for the line in standard form
Answer:
The equation of the line in standard form is y = -1/2·x - 3
Step-by-step explanation:
From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;
(-4, -1), (-2, -2), and (2, -4)
The slope, m, of the graph is given as follow;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, by substituting the values of the coordinates for two known points, we have;
[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]
The slope of the graph, m = -1/2
The equation of the graph on point and slope form is given as follows;
y - (-4) = -1/2(x - 2)
y = -x/2 + 1 - 4 = -x/2 - 3
The equation of the line in standard form, y = m·x + c is y = -1/2·x - 3.
Jim went to the playground. He played on the swings for 45 minutes and went on the slide for 55 minutes. It was 4:35 P.M. when Jim left the playground. What time was it when Jim arrived at the playground?
Answer:
2:55 P.M.
Step-by-step explanation:
First, add the amount of time Jim played outside; 45+55=100
100 minutes is equal to 1 hour 40 minutes.
If he left the playground at 4:35 P.M., then you have to subtract in order to find out when he arrived there.
Subtract 1 hour 40 minutes from 4:35 P.M. to then get 2:55 P.M.
To confirm your answer, you can add back the 1 hour and 40 minutes to 2:55 P.M. and you'll get 4:35 P.M.; back with what you started with.
Hope this helped !!!
John builds a wooden box. ∙ The box is 3 feet long. ∙ The height is half the width. ∙ The volume is 4 times the width. Which equation can be used to find the width, w , of the box?
Answer:
4w=w*3*1/2w
Step-by-step explanation:
4w=w*3*1/2w
help please i dont know what to doooo
Please help.. :(
This is confusing
Answer:
x² + 4x + 9
Step-by-step explanation:
This is just adding like terms (Adding x²'s to each other, adding x's to each other, etc.)
3x² - 2x² = x²
-x + 5x = 4x
7 + 2 = 9
So all together its x² + 4x + 9.
Find the perimeter of the figure.
Answer:
It's 54
Step-by-step explanation:
HURRY ITS IMPORTANT 7
What decimal represents ten and seventy-five hundredths? Show your work.
Answer:
10.75
Step-by-step explanation:
Exponential functions do not form straight lines.
When factored completely, x3+ 3x2 - 4x-12 equals?
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
Dont know the full thing but hope some of this helps!
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
Apply properties of operations to write an equivalent expression t+t+t+t
Answer:
4t
Step-by-step explanation:
m/4-7=-3 what is the value of m
m/4-7= -3
m/4-7+7= -3+7
=> 16
Ans. Value of m is 16.
Hope this helps!
Answer:
Answer is 1 because it -3+7/4=1
The total area of the figure to the right is 299 cm². Use this fact to write an equation involving x. Then solve the
equation to find the value of x.
The equation is
Enter your answer in the answer box and then click Check Answer
Answer:
i. [tex]x^{2}[/tex] + 26x + 144 - 299 = 0
ii. x = 5
Step-by-step explanation:
The area of the figure = 299 cm²
The figure has a shape of a rectangle, so that;
Area of rectangle = length x width
length of the figure = 18 + x
width of the figure = 8 + x
Area of the figure = (18 + x) x (8 + x)
299 = (18 + x) x (8 + x)
299 = [tex]x^{2}[/tex] + 26x + 144
[tex]x^{2}[/tex] + 26x + 144 - 299 = 0
[tex]x^{2}[/tex] + 26x - 155 = 0
applying the trigonometric formula;
x = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a
= (-26 ± [tex]\sqrt{(26)^{2} - 4(1*-155)}[/tex]) ÷ 2
= (-26 ± [tex]\sqrt{676 +620}[/tex]) ÷ 2
= (-26 ± [tex]\sqrt{1296}[/tex]) ÷ 2
= (-26 ± 36) ÷ 2
x = (-26 + 36) ÷ 2 OR x = (-26 -36) ÷ 2
= 10 ÷ 2 OR -62 ÷ 2
= 5 OR -31
Thus, x = 5
Peony mixes red paint and white paint in the ratio 1:3 She uses four tins of red paint Work out the total number of tins of paint peony uses
Answer:
16
Step-by-step explanation:
4x3=12 tins of white paint
12+4=16 total tins
The total number of tins used by the Peony will be 16.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that Peony mixes red paint and white paint in a ratio of 1:3 She uses four tins of red paint.
The Number of red tins,
R = 4 x 1 = 4
The number of white tins,
W = 4 x 3 = 12
Total number of tins,
T = R +W
T = 4 + 12
T = 16
Therefore, the total number of tins used by the Peony will be 16.
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Which of the following values of x will result in a true statement when
substituted into the given equation?
-3(x - 2) = 9
OA) X= 1
OB x = -1
OO. X = 3
OD. X = -3
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Step 1
-3(x-2)=9 Equation/Question
Step 2
-3(x-2)=9 Remove parenthesis
3x+6=9
Step 3
3x+6=9 Add -6
-3x=3
Step 4
−3x=3 Divide
answer
x=-1
Hope this helps
how to solve 2 divided by 1/7
Answer:
14
Step-by-step explanation:
You can put it as a fraction like so:
2/1 divided by 1/7
Use the strategy KCF (Keep, Change, Flip)
2/1 x 7/1
=2x7
=14
I have no idea.........
Answer:
me either dude
Step-by-step explanation:
Factor the GCF from 96x2 + 88x.
Answer:
Step-by-step explanation:
1) Determine the GCF of the numbers 96 and 88
=> Decompose each number in their prime numbers:
=> 96 = (2^5)(3)
=> 88 = (2^3) (11)
=> GCF of 96 and 88 = 2^3 = 8
2) Determine the GCF of the letters, x^2 and x
=> x
3) Conclude the GCF of the terms is 8x
4) Now you can factor the expression by dividing each term by the GCF, 8x:
96 x^2 / (8x) = 12x
88x / (8x) = 11
The factored form is (8x) (12x + 11)
Answer:
Factor the GCF from 96x2 + 88x. Use the drop-down menus to complete the statements.
The GCF of 96x2 and 88x ✔ 8x
Each term is written as a product, where one factor is the GCF, is ✔ 8x(12x) + 8x(11)
The factored form of the expression is ✔ 8x(12x + 11)
Determine which consecutive integers have a real zero of the function f(x) = x4 - 3x3 - 2x2 + 3x-5. between them. a. (-6, -5), (3, 4) C. (-6,-5), (-2, -1) b. (-2, -1), (3, 4) d. (1, 2), (-4,-3) d.
Answer:
B. (-2,-1), (3,4)
Step-by-step explanation:
Got it on edge
Orange Street has a y-intercept of -4 and a slope of 4/5
Write out this equation as y = mx + b
Answer:
y = 4/5x - 4
Step-by-step explanation:
Slope intercept is [ y = mx + b ] where m = slope and b = y-intercept. We are already given both so we can fill it in.
y = 4/5x - 4
Best of Luck!
Answer:
Orange Street has a (b=)y-intercept of -4 and a (m=)slope of 4/5
Therefore, m=4/5 and b= -4
y = mx+b
y = 4/5x+(-4)
y = 4/5x - 4 is the right answer.
NEED HELP PLEASE PLEASE
Find the value of "c". 4c + 18 = 74 *
[tex]4c \: + 18 = 74[/tex]
[tex] \implies \: 4c = 74 - 18[/tex]
[tex] \implies \: 4c = 56[/tex]
[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]
[tex] \implies \: c = 14[/tex]
The value of c is 14 .
Answer:
14
Step-by-step explanation:
move all terms that don't contain c then solve.
The shadow of a building is 72 feet long. At the same time, John, who is 5 feet tall, casts a shadow that's 6 feet long. How tall is the building?
Answer:82feet tall
Step-by-step explanation:
Gerald has three fewer marbles than Jan together they have 21 marbles which equation represents the situation
Answer:
b
Step-by-step explanation:
What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6
Answer:
6:8:10:12
Step-by-step explanation:
Scale factor of 2-
3:4:5:6
multiply each number by 2
6:8:10:12
If 5 model airplanes cost $10, what is the unit price of the model airplanes?The unit price is $ per model airplanes.
Answer:
2 is the answer to you question
Step-by-step explanation:
Translate the sentence into an equation The sum of 6 times a number and 8 equa's 7 Use the variable b for the unknown number 6 - 0
Answer:
6b + 8 = 7
Step-by-step explanation:
The proper translation of the sentence is 6b + 8 = 7.
Solving for b, we get 6b = -1 and b = -1/6
How is "6 - 0" part of this problem?
Evaluate the expression. Write the answer in simplest form.
4÷16/17=
Step-by-step explanation:
Turn 4 into 4/1. Then switch 4/1 or 16/17 because I don't know which to switch. If you don't know what I'm talking about, when you switch 4/1 or 16/17, you'll get 1/4 or 17/16. Then you multiply 1/4 × 16/17 or 4/1 × 17/16. You multiply across, like this, 1 × 16 and 4× 17 Same thing with 4/1 × 17/16 but backwards (4×17 and 1×16). Do both equation (4/1 × 17/16 and 1/4 × 16/17) by yourself, then simplest it. Example: 2/4 = 1/2. You divide 2/4 by two, 2÷2 for the numerator and 4÷2 for the denominator. That how you simply.