Answer:
The correlation is positive, but it does not appear to be linear. What are the choices?
Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus from the shops is 0.7. Show that the probability that she walks at least one way is 0.72
Corrected Question
Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72
Answer:
\(P(A \cup B) =0.72\) (Proved)
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops.
Let the event that she catches the bus to the shop=A
Let the event that she catches the bus from the shop=B
P(A)=0.4
P(B)=0.7
Both A and B are independent events.
Therefore,Probability that she catches the bus to and from the shop:
P(A∩B) = 0.4 X 0.7= 0.28
Probability Sue walks at least one way \(P(A \cup B) = 1 - P(A \cap B)\)
\(= 1 - 0.28\\= 0.72\)
Hence, the probability that Sue walks at least one way is 0.72.
please help meh im so bad at this stuff lol
Answer:187.5
Step-by-step explanation: I am bad at explaining but il try.
if 1/2x = 75y, that means 1x = 150. 1/4x is 1/2x divided by 2 which is 37.5.
2 1/4 is two 150 and one 37.5 so the awnser should be 187.5.
find the length of the diagonal of a 7 cm × 6 cm × 12 cm rectangular prism. round to the nearest tenth.
The length of the diagonal of a 7 cm × 6 cm × 12 cm rectangular prism is 9.2 cm.
To find the length of the diagonal of a rectangular prism, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the diagonal of the rectangular prism is the hypotenuse, and the other two sides are the length and width of the rectangular prism.
So, we can use the following formula to find the length of the diagonal:
Diagonal = √(length² + width²)
In this case, the length and width of the rectangular prism are 7 cm and 6 cm, respectively. So, we can plug these values into the formula to find the length of the diagonal:
Diagonal = √(7² + 6²)
= √(49 + 36)
= √85
= 9.2 cm (rounded to the nearest tenth)
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A blue ray player cost $187.60. A 20% down payment is required with monthly payments of $39.40 for 4 months. What is the price paid for the blue ray player? What is the finance charge?
cost = $187.60
20% down
4 months of $39.40
1.- Calculate the 20%
187,6 ------------------- 100
x -------------------- 20
x = (20 x 187.6) / 100
x = 3752/100
x = 37.52
2.- Calculate the final price
Price paid = 37.52 + 4(39.40)
Price paid = 37.52 + 157.6
= $195.12
2.- Finance charge
= 195.12 - 37.52
= $157.6
The thesis statement, the theme or central idea of a speech, should be expressed as.
MODELING REAL LIFE A bag contains 42 cups of dog food. Your dog eats 2 cups of dog food each day, Is there enough food to last 3 weeks?
The amount of money, y, pizzeria K makes by selling x pizzas can be modeled by the equation y = 13x. The relationship of the amount of money pizzeria L makes is shown in the following graph. Which pizzeria makes more money per pizza?
Answer:
Step-by-step explanation:
Complete Question:
The amount of money, y, pizzeria W makes by selling x pizzas can be modeled by the equation y = 15x. The relationship of the amount of money pizzeria L makes is shown in the following graph.
Which pizzeria makes more money per pizza?
A. Pizzeria L makes more money per pizza.
B. Pizzeria W makes more money per pizza.
C. They make the same amount per pizza.
Answer:
B. Pizzeria W makes more money per pizza.
Step-by-step explanation:
The proportional relationship showing how amount of money made(y) is related to the amount of pizzas sold (x) for pizzeria W is given by the equation y = 15x.
the constant of proportionality/unit rate, k = 15.
This represents the amount in dollars, made per pizza.
So, Pizzeria W makes $15 per pizza.
For Pizzeria L, using any point on the line, say, (2, 24),
k = y/x = 24/2 = 12.
This represents the unit rate, which is the amount Pizzeria L makes per pizza.
Thus, Pizzeria L makes $12 per pizza.
We can conclude that, Pizzeria W makes more money per pizza.
Answer:
L
Step-by-step explanation:
I need help with this
Answer:
34
Step-by-step explanation:
1. plug in 4
sqrt(4) +2(x)^2
=2 +2(16)
=2+32
=34
Sophia and Joseph are making fruit salads for a picnic. Sophia mixes 5 cups of melon and 2 cups of apple and Joseph mixes 8 cups of melon and 5 cups of apple. Use Sophia and Joseph's percent of melon to determine whose fruit salad will taste more melony.
Based on the percentage of melons, Sophia's fruit salad will taste more Melony than Joseph's.
What is the percentage?The percentage is the quotient of the numerator and denominator.
Like ratios, percentages show the relative size of a value compared to another.
Percentages are expressed as the quotient multiplied by 100.
Sophia Joseph
Cups of melon 5 8
Cups of apple 2 5
Ratios 5:2 8:5
The sum of ratios 7 13
Percentages of melon to apple:
Sophia Joseph
71.43% (5/7 x 100) 61.54% (8/13 x 100)
Thus, using the percentage of melon to apple, we can conclude that Sophia's fruit salads tastes 71.43% more Melony than Joseph's.
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What is an equation of the line that passes through the point (−1,−3) and is parallel to the line 6x-y=1?
Answer:
y = 6x + 3
Step-by-step explanation:
6x - y = 1
6x -1 = y
Slope = 6
Point (-1,-3)
y-intercept = -3 - (6)(-1)
= -3 + 6 = 3
y = 6x + 3
What is the tenth term?
1) 1, 2, 8, 14, 20
2) 15, 23, 31,
Find the missing term:
3) 4, __, 22,
4) 25, __, 53,
The solution to each of the arithmetic sequence are:
1) a₁₀ = 56
2) a₁₀ = 87
3) missing term is 13
4) missing term is 14
What is the nth term of the arithmetic sequence?The formula for the nth term of an arithmetic sequence is:
aₙ = a + (n - 1)d
where:
a is first term
n is nth term
d is common difference
1) a = 2
d = 6
a₁₀ = 2 + (10 - 1)6
a₁₀ = 2 + 54
a₁₀ = 56
2) a = 15
d = 8
a₁₀ = 15 + (10 - 1)8
a₁₀ = 87
3) The missing term will be gotten by finding the common difference.
d = (22 - 4)/2
d = 18/2
d = 9
missing term = 4 + 9 = 13
4) The missing term will be gotten by finding the common difference.
d = (53 - 25)/2
d = 28/2
d = 14
missing term = 4 + 9 = 14
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The sum of twice an angle and it’s supplement is 253. Find the angle
The required measure of an angle is 73 degrees which supplement is 253.
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.
The supplement of an angle is equal to 180 degrees minus the angle.
So if we call the angle "x", we can set up an equation as follows:
2x + (180 - x) = 253
Simplifying the equation:
x = 253 - 180
Apply the subtraction operation, and we get
x = 73
So the angle is 73 degrees.
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Part 2 - Find the error(s) and solve the problem correctly.
Simplify:
\((x^\frac{3}{5} )^\frac{7}{5}\)
Answer:
\((x^\frac{3}{5} )^\frac{7}{5} = (x^\frac{10}{5} )=x^2\)
The simplified expression is as follows;
\((x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{21}{25} }\)The error was made because you didn't multiply the powers.
How to simplify an expression?The expression can be simplified as follows;
\((x^{\frac{3}{5} } )^{\frac{7}{5} }\)
Using the law of indices,
If a base variable is raised to a number (y) and the entire number raised to power (x), then it is equal to the base number raised to the multiplication of the two exponents (x × y) i.e.
Hence,
\((A^{x} )^{y} = A^{xy}\)
Therefore, let's apply the rule,
\((x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{3}{5}.\frac{7}{5} }\)
Hence,
\((x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{3}{5}.\frac{7}{5} } = x^{\frac{21}{25} }\)
Therefore, using the law of indices,
\((x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{21}{25} }\)
The error was that he did not multiply the exponents.
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1. Using the scale 1 in.: 4 ft, find the dimensions in a blueprint of an 8 ft-by-12 ft
room
Answer:
2 in by 3 in
Step-by-step explanation:
1 in = 4 ft Divide both sides with 4
0.25 in = 1 ft
0.25 * 8 = 2 in
0.25 * 12 = 3 in
2 in by 3 in
Answer: 2 in by 3 in
Step-by-step explanation:
1 in = 4 ft Divide both sides with 4 0.25 in = 1 ft 0.25 * 8 = 2 in 0.25 * 12 = 3 in 2 in by 3 in
Does anyone know the answer?
Answer:
D is the right graph
83,456-728.88 what is the answer
The required answer to the subtraction problem 83,456 - 728.88 is, 82,727.12
What is subtraction?Subtraction is mathematical terminology that helps and elaborates the decrease in the original value by some value.
Here,
To perform the subtraction, you line up the decimal points and subtract the digits in each place value starting from the right. In this case, you subtract 8 from 6, which requires borrowing 1 from the digit to the left, giving you 16 - 8 = 8 in the one's place. You then subtract 2 from 5, giving you 3 in the tenth place. Continuing this process, you get the result of 82,727.12.
Thus, the answer to the subtraction problem 83,456 - 728.88 is, 82,727.12
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Which sketch depicts Angles X and Y as a linear pair?
Answer:
i'm pretty sure its a sorry if i'm wrong.
Step-by-step explanation:
rico tested 50 adults in an experimental group, to give a large enough ________ __________ to be accurate.
2√10c (4√30 + 3√/2c³)
Answer:
80√3c+12√5c⁴
Step-by-step explanation:
You gave 2√10c (4√30 + 3√2c³) so...
1.) Distribute
You will then get 8√300c+6√20c⁴
2.) Simplify the radical expression and you will get
8x10√3c+6x2√5c⁴
3.) Calculate
80√3c+12√5c⁴
And that is your answer
Answer:
80√3c+12√5c⁴
Step-by-step explanation:
2√10c (4√30 + 3√2c³) so first things first:
1.) Distribute
You will then get 8√300c+6√20c⁴
2.) Simplify the radical expression and you will get
8x10√3c+6x2√5c⁴
3.) Calculate
80√3c+12√5c⁴
HELP I NEED HELP ASAP
Which equation represents the line that has a slope 5 and passes through the point (0,-2)
A. y = 5x - 2
B. y = x-3
C. y = 5x
D. y = -2x - 5
Answer:
A
Step-by-step explanation:
because the -2 is where the point is and the slope will start there so when you draw a line the line will pass by (0,-2)
In recent years, a state has issued license plates using a combination of two letters of the alphabet followed by two digits, followed by another two letters of the alphabet. How many different license plates can be issued using this configuration
There are 45,697,600 different number of plates that can be issued using this configuration.
To determine the number of different license plates that can be issued using the given configuration, we need to consider the number of options for each component of the license plate.
1. Letters (first two letters): Each letter can be any uppercase letter of the alphabet.
There are 26 letters in the English alphabet, so there are 26 options for each letter.
Since we have two letters, the total number of options for the first two letters is 26 * 26 = 676.
2. Digits (two digits): Each digit can be any number from 0 to 9, so there are 10 options for each digit.
Since we have two digits, the total number of options for the digits is 10 * 10 = 100.
3. Letters (last two letters): Similar to the first two letters, there are 26 options for each letter.
Therefore, the total number of options for the last two letters is also 26 * 26 = 676.
To find the total number of possible license plates, we multiply the number of options for each component:
Total number of license plates = (Number of options for letters) * (Number of options for digits) * (Number of options for letters)
Total number of license plates = 676 * 100 * 676
Total number of license plates = 45,697,600
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Write the relation as a set of ordered pairs.X333у- 102(2)
Solution
A relation can be thought of as a set of ordered pairs. We consider the first element of the ordered pair to be related to the second element of the ordered pair. Definition: A relation R from a set X to a set Y is a subset of the Cartesian Product X x Y, if (x, y) ∈ R, we write x R y and say that x is related to y.
The inputs ... the x values ... are on the left ...(from)
The outputs ... the y values ... are on the right ... (ro)
The coordinates are:
\(\begin{gathered} (3,-1) \\ (3,0) \\ (3,2) \end{gathered}\)
Evaluate this expression for a = 3 and b = 4.
B
(a + 4)-
3(3 + 2)
+
3 - 2
OA. 6
OB.
9
O C.
11
OD.
8
Answer:
14
Step-by-step explanation:
a = 3
b = 4
\(b(a + 4)-3(3 + 2)+3 - 2\\a = 3,b=4\\4(3+4)-3(5)+3 - 2\\4(7)-15+3 - 2\\28-14\\\\14\)
What is the simplified value of the expression below?
1/3 divided by 2/3
0
1/3
1/2
1
Answer: 1/2
Step-by-step explanation:
( see image ) ( Keep Change Flip )
Mathematical and statistical tools give us many ways to rate the overall performance of a system and its components.
The given statement mathematical and statistical tools give us many ways to rate the overall performance of a system and its components is True.
Mathematical and statistical tools provide various methods to assess and evaluate the performance of a system and its individual components. These tools enable quantitative analysis , modeling , prediction , and inference , allowing us to measure and interpret the effectiveness , efficiency, reliability, and other relevant characteristics of systems and their components.
Examples of such tools include statistical analysis, regression analysis, hypothesis testing, optimization techniques, control charts, simulation, and more.
Therefore, the given statement is true.
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Complete question is below
Mathematical and statistical tools give us many ways to rate the overall performance of a system and its components.
true or false
what is the probability that at least 3 are hyperlipidemic? what is the probability that exactly 3 are hyperlipidemic? how many would be expected to meet the criteria for hyperlipidemia?
A cylinder has a radius of 4 inches and a height of 5 inches. Which of these dimensions of a cylinder will have the same volume?
Radius: 20 inches
Height: 60 inches
Radius: 2 inches
Height: 20 inches
Radius: 10 inches
Height: 8 inches
Radius: 8 inches
Height: 5 inches
Answer:
Radius: 2 inches Height: 20 inchesStep-by-step explanation:
\(R=4\,,\ H=5\ \implies \ \ V=\pi R^2\cdot H=\pi\cdot 4^2\cdot5=80\pi\\\\\\R=20\,,\ H=60\ \implies \ \ V=\pi\cdot20^2\cdot60=24000\pi\ne80\pi\\\\R=2\,,\ H=20\ \implies \ \ V=\pi\cdot2^2\cdot20=80\pi \\\\R=10\,,\ H=8\ \implies \ \ V=\pi\cdot10^2\cdot8=800\pi\ne80\pi\\\\R=8\,,\ H=5\ \implies \ \ V=\pi\cdot8^2\cdot5=320\pi\ne80\pi\)
Answer:
Radius: 2 inches
Height: 20 inches
Step-by-step explanation:
Use the formula V = πr2h to solve the problem.
Turtle Chocolate Company is having a Valentine’s Day sale for its customers. Matt is trying to determine the combinations of dark chocolate candy and white chocolate candy he can buy. He wants to spend no more than $60.
If boxes of dark chocolate candy cost $12 each and boxes of white chocolate candy cost $10 each, which inequality represents all possible combinations of x boxes of dark chocolate candy and y boxes of white chocolate candy?
The inequality that represents all the possible combinations he can buy is $12x + $10y ≤ $60.
What do inequality signs mean?
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
What equation represents the total combinations he can buy?The inequality sign to use is ≤ less than or equal to. This is because he does not want to spend more than $60.
$12x + $10y ≤ $60.
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2x^3x8x^8= ?
Help plzz
Answer:
16x^11
Step-by-step explanation:
2x^3 x 8x^8
= 2 x 8 ( x^8 x x^3 )
= 16 ( x ^8 + 3 )
= 16x^11
\(\huge\textsf{Hey there!}\)
\(\mathsf{2x^3\times8x^8}\\\textsf{There arent any like terms so we \underline{do not} have to compare them together}\\\mathsf{= \mathsf{2\times8 \rightarrow \bf 16}}\\\mathsf{= 3+8\rightarrow\bf 11}\\\mathsf{= 16\times x^{11}}\\\mathsf{= \bf 16x^{11}}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 16x}\mathsf{\bf ^{11}}}}\huge\checkmark\\\\\\\large\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040:)}\)
Mrs. Peña is taking a group of 50 students on a field trip to the Georgia Aquarium. If 20 of the students are boys, what percent of the students are boys?
Answer:
40%
Step-by-step explanation:
20/50 = 40/100 = 40%