Answer:
A. {(5, –4), (–4, 5), (–5, 4), (4, –5)}
Step-by-step explanation:
Since there is one value of
y
for every value of
x
in
(
5
,
−
4
)
,
(
−
4
,
5
)
,
(
−
5
,
4
)
,
(
4
,
−
5
)
, this relation is a function.
The relation is a function.
HLPZ!! I DON'T KNOW HOW TO DO THIS!!! The Venn diagram shows event A and event B comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B?
Answer:
0.6.
Step-by-step explanation:
Either event A or Event B or neither must happen so the probability of any of these is 1, so
Prob(B) = 1 - 0.2 - 0.2 = 0.6.
Answer: answer above me is correct
A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.
If the wheel has a radius of 30 centimeters and a height of 20 centimeters, how many square centimeters of the wheel does the label cover? (Approximate using pi equals 22 over 7)
The required area that the label would cover is given as 3771.4 cm².
As mentioned in the question,
the wheel has a radius of 30 centimeters and a height of 20 centimeters,
The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
here,
Area of the label, = 2πrh
Substitute the value in the above formula,
Area of the label = 2 × 22 / 7 × 30 × 20
Area of the label = 3771.4 cm²
Thus, the required area that the label would cover is given as 3771.4 cm².
Learn more about the surface area here:
https://brainly.com/question/2835293
#SPJ1
Answer: Then aswer the question wit your broke answer
Step-by-step explanation:
1. The variable used to predict another variable is called the A. response variable. B. regression variable. C. independent variable. D. dependent variable. 2. If the attendance at a baseball game is to be predicted by the equation Attendance 16,500 - 75 Temperature, what would be the predicted attendance if Temperature is 90 degrees? A. 6,750 B. 9,750 C. 12,250 D. 10, 020 3. A hypothesis test is conducted at the 5% level of significance to test whether the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60, then the computed test statistic would be A. 2.071 B. 1.960 C. 3.597 D. 1.645
1. The variable used to predict another variable is called the dependent variable.
2. The predicted attendance if the temperature is 90 degrees would be 9,750.
3. The computed test statistic, rounded to three decimal places, would be approximately 2.071.
1. The variable used to predict another variable is called the dependent variable. It is the variable that is being predicted or explained by the independent variable.
The variable used to predict another variable is called the dependent variable.
2. The given equation is Attendance = 16,500 - 75 * Temperature.
If Temperature is 90 degrees, we can substitute this value into the equation to find the predicted attendance.
Attendance = 16,500 - 75 * 90
Attendance = 16,500 - 6,750
Attendance = 9,750
Therefore, the predicted attendance if the temperature is 90 degrees would be 9,750.
The predicted attendance if the temperature is 90 degrees would be 9,750.
3. To calculate the test statistic, we need to use the formula:
test statistic = (sample correlation coefficient * sqrt(sample size - 2)) / sqrt(1 - sample correlation coefficient^2)
Given:
Sample size (n) = 25
Sample correlation coefficient (r) = 0.60
Substituting these values into the formula:
test statistic = (0.60 * sqrt(25 - 2)) / sqrt(1 - 0.60^2)
test statistic ≈ (0.60 * sqrt(23)) / sqrt(1 - 0.36)
test statistic ≈ (0.60 * sqrt(23)) / sqrt(0.64)
test statistic ≈ (0.60 * sqrt(23)) / 0.8
test statistic ≈ 1.380 / 0.8
test statistic ≈ 1.725
Rounding to three decimal places, the computed test statistic would be approximately 2.071.
The computed test statistic, rounded to three decimal places, would be approximately 2.071.
To know more about independent variable, visit
https://brainly.com/question/32711473
#SPJ11
give the lowest common multiple and the highest common factor for each pair of numbers 100 and 132
Answer:
LCM,
(Least common multiple)
100 and 132 is 3300
The GCF
(Greatest common factor)
100 and 132 is 4
1
1. The measure of 2G is 82º. What is the
measure of its supplement?
Answer:
98º
Step-by-step explanation:
Since a supplementary angle is 2 angles which equal 180 degrees we would have this angle and 1 more angle that add up to 180:
\(82+x=180\)
subtract 82 from both sides
\(x=98\)
the correct simplified form of 2y5+4y5−3y3−5y3
Hey there! I'm happy to help!
Numbers with the same variable and exponent are like terms and can be simplified.
\(2y^5+4y^5=6y^5\) (variable is y, exponent is 5)
\(-3y^3-5y^3=-8y^3\) (variable is y, exponent is 3)
So, our final simplified form is \(6y^5-8y^3\).
Have a wonderful day! :D
answerers about Caca Andika from Indonesia
Linda needs to buy some pencils. Brand A has a pack of 48 pencils for $7. 97. Brand B has a pack of 72 pencils for $9. 88. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent
Answer:
Brand B is the better price because it is approx $0.13 per pencil, and Brand A is more expensive because it is $0.17 per pencil.
Step-by-step explanation:
Brand A:
7.97/48 = 0.16604166666 = approx $0.17 per pencil
Branch B:
9/72 = 0.125 = approx $0.13 per pencil
Brand B is the better price because it is approx $0.13 per pencil and Brand A is more expensive because it is $0.17 per pencil.
What is the area of the shaded triangle?
Answer:30
Step-by-step explanation: act like both of the triangles are there, that is a rectangle 6 times 10 equals 60. 60 divided by 2 is 30
Can someone please help me with this trigonometry assignment?
Directions: Write a word problem as a STORY which will require Trigonometry to solve. What is the problem? Why do we need to solve it? Who needs us to solve it? How will it help? Solve the problem clearly and accurately.
The picture above is an example on how you could create the word problem.
The final calculation revealed that the height of the mountain was approximately 350.1 meters.
How to explain the trigonometryBack in their workshop, Alex applied the tangent function to find the mountain's height. They knew that tangent is the ratio of the opposite side (the height) to the adjacent side (the horizontal distance). Setting up the equation, they plugged in the known values:
tangent(35 degrees) = height / 500 meters
Using trigonometric tables or a calculator, they found that the tangent of 35 degrees is approximately 0.7002. Now they could solve the equation:
0.7002 = height / 500 meters
To isolate the height, they multiplied both sides of the equation by 500:
0.7002 * 500 meters = height
The final calculation revealed that the height of the mountain was approximately 350.1 meters.
With this crucial information, Alex and Sarah could now design the bridge
Learn more about trigonometry on
https://brainly.com/question/24349828
#SPJ1
Find the equation of the line that contains the point (-1,-7) and is parallel to the line 6x+5y=11. Write the equation in slope-intercept form, if possible.
Answer:
y=-1.2x-8.2
Step-by-step explanation:
the equation for the slope is mx+b=y so 6x+5y=11 is the same as 5y=11-6x and that is the same as y=11/5-6/5x. we know the slope is -6/5 and so the y intercept of the line is -7+(-6/5)=-8.2. then the answer is y=-1.2x-8.2
Answer:
y = -6/5x - 41/5
BRAINLIEST, PLEASE!
Step-by-step explanation:
y = 11/5 - 6/5x
slope = -6/5
y = -6/5x + b
(-1, -7)
-7 = 6/5 + b
b = -35/5 - 6/5
b = - 41/5
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
Its 65
1ft=304.8mm
The function f(x) = –5x2 + 13x + 6 represents the height, in meters, of a coin x seconds after it is thrown into the air. What is the maximum height of the coin
The maximum height of the coin is approximately 14.825 meters.
To find the maximum height of the coin, we need to find the vertex of the parabolic function. The x-coordinate of the vertex is given by:
x = -b/2a
where a = -5 and b = 13 are the coefficients of the quadratic function f(x) = -5x^2 + 13x + 6.
Plugging these values into the formula, we get:
x = -13/(2×(-5)) = 13/10
Now we can find the y-coordinate of the vertex by plugging in x = 13/10 into the function:
f(13/10) = -5(13/10)^2 + 13(13/10) + 6
Do the arithmetic operations
≈ 14.825 meters
Learn more about quadratic function here
brainly.com/question/11258039
#SPJ4
Select all equations that can be used to solve for 0. If you have time, can you please explain how you got the answer
Answer:
B and D are correct.
Step-by-step explanation:
First, we find the length of ALL the sides using the Pythagorean Theorem.
16² + b² = 20²
256 + b² = 400
b² = 144
\(\sqrt{144}\) = 12
Now, we know that sine is opp/hyp, cosine is adj/hyp, and tangent is opp/adj.
A is incorrect because that's supposed to be cos. B is correct because that is indeed cos. C is incorrect. D is correct. E and F are incorrect because it's supposed to be sin.
Don't know if any of that made sense. All you need to do is remember the difference between sine, cosine, and tangent.
Answer:
The answer is B and D.
Step-by-step explanation:
Length of ladder AC = 20 feet
Height of the highest point of the ladder from ground AB = 16 ft
By Pythagoras theorem,
AC² = BC² + AB²
BC² = AC² - AB²
BC = √(20)^2-(16)^2
= √400-256
= √144
= 12
Now, Sinθ = opposite side/hypotenuse = AB/AC
= 16/20
Cosθ = adjacent side/hypotenuse = BC/AC
= 12/20
Therefore, A and D are the correct options.
You're very welcome! ;)
you ask a neighbor to water a sickly plant while you are on vacation. without water the plant will die with probability with water it will die with probability you are % certain the neighbor will remember to water the plant. when you return from vacation, the plant is dead. what is the probability that the plant died because your neighbor forgot to water it?
The probability that the plant died because the neighbor forgot to water it is (1 - q) x (1 - %).
Let p = the probability that the plant will die without water, q = the probability that the plant will die with water, and r = the probability that the neighbor will remember to water the plant.
The probability that the plant died because the neighbor forgot to water it is equal to the probability that the plant would have survived had the neighbor remembered to water it, multiplied by the probability that the neighbor did not remember to water it.
P(plant died due to neighbor not watering) = P(plant survived with neighbor watering) x P(neighbor not remembering)
= (1 - q) x (1 - r)
= (1 - q) x (1 - % certain the neighbor will remember)
= (1 - q) x (1 - % certain)
= (1 - q) x (1 - %)
Therefore, the probability that the plant died because the neighbor forgot to water it is (1 - q) x (1 - %).
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
when y=6 and x=8 x+9y
Answer:
44
Step-by-step explanation:
You plug in both numbers for the corresponding letters
2 1x - 2 = what is the value of |2x - 541
First, we use the first expression to find x.
\(\frac{1}{3}x-2=\frac{1}{3}\)We add 2 units on each side.
\(\begin{gathered} \frac{1}{3}x-2+2=\frac{1}{3}+2 \\ \frac{1}{3}x=\frac{1+6}{3} \\ \frac{1}{3}x=\frac{7}{3} \\ x=7 \end{gathered}\)Then, we use this value to find absolute value.
\(|2x-5^2|=|2\cdot7-5^2|=|14-25|=|-11|=11\)Hence, the answer is 11.How to convert centimeters into millimeters?
Answer: Multiply the centimeters number by 10.
Step-by-step explanation: There are 10 millimeters in every centimeter.
Write the ratio using fractional notation.
8 to 9
Answer:
Step-by-step explanation:
The GCF of 8 and 9 is 1
Divide both terms by the GCF, 1:
8 ÷ 1 = 8
9 ÷ 1 = 9
The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :
This ratio is already in lowest terms.
Therefore:
8 : 9 = 8 : 9
The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c. x 2 3 4 5 6 7 8 P(X=x) 0.037 0.017 0.079 0.336 0.068 0.399 0.064 a. Find and interpret the mean of the random variable. μ= (Round to three decimal places as needed.)
For the probability distribution the mean of the random variable X is 5.258 this means that, on average, the crew size of a randomly selected shuttle mission is approximately 5.258.
To find the mean of the random variable X, we multiply each value of X by its corresponding probability and sum them up. Let's calculate it step by step:
x | P(X = x)
2 | 0.064
3 | 0.015
4 | 0.055
5 | 0.276
6 | 0.124
7 | 0.387
8 | 0.079
Step 1: Multiply each value of X by its corresponding probability.
2 × 0.064 = 0.128
3 × 0.015 = 0.045
4 × 0.055 = 0.22
5 × 0.276 = 1.38
6 × 0.124 = 0.744
7 × 0.387 = 2.709
8 × 0.079 = 0.632
Step 2: Sum up the products from Step 1.
0.128 + 0.045 + 0.22 + 1.38 + 0.744 + 2.709 + 0.632 = 5.258
Step 3: The mean (μ) is the sum from Step 2.
μ = 5.258
Learn more about probability distribution at
https://brainly.com/question/29062095
#SPJ4
The question is -
The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts A through c.
x 2 3 4 5 6 7 8
P(X = x) 0.064 0.015 0.055 0.276 0.124 0.387 0.079
a. Find and interpret the mean of the random variable.
μ=
y= x + 4
2x+3y= -13
What is the solution to the system of equations?
A. (-6, -2)
B. (-5, -1)
C. (1,5)
D. (2,6)
Answer:
Step-by-step explanation:
Simplifying
2x + 4y = 13
Solving
2x + 4y = 13
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
2x + 4y + -4y = 13 + -4y
Combine like terms: 4y + -4y = 0
2x + 0 = 13 + -4y
2x = 13 + -4y
Divide each side by '2'.
x = 6.5 + -2y
Simplifying
x = 6.5 + -2y
(Hope this helped!)
Identify the formula to calculate the number of bit strings of length six or less, not counting the empty string. a. Σ7i = 02i b. Σ6i = 02i c. Σ6i = 02i d. (Σ7i = 02i) - 1
The formula to calculate the number of bit strings of length six or less, not counting the empty string, is (Σ6i=0 2i) - 1.
To explain this formula, let's break it down. The Σ6i=0 represents a summation from i=0 to i=6. The 2i represents the number of possibilities for each bit (either 0 or 1) and the summation allows us to count all possible combinations of bit strings of length 6 or less.
However, we need to subtract 1 from the total because we are not counting the empty string. This formula ensures that we are only counting bit strings with at least one bit set to either 0 or 1.
In simpler terms, the formula tells us to take 2 to the power of each possible bit position (from 0 to 6), add up all those possibilities, and then subtract 1 to account for the empty string. This gives us the total number of possible bit strings of length six or less.
To know more about strings refer here
https://brainly.com/question/30099412#
#SPJ11
H28−−√ was simplified and the final answer is 87√. What was the value of H in the original question?
Solution
To solve this problem, we only need to equate and solve for H
\(\begin{gathered} H\sqrt{28}=8\sqrt{7} \\ divide\text{ both sides by }\sqrt{28} \\ H=\frac{8\sqrt{7}}{\sqrt{28}} \\ \\ H=\frac{8\sqrt{7}}{2\sqrt{7}} \\ \\ H=4 \end{gathered}\)Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.
Answer:
A ≈ 14.8 units²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )
where x is the side opposite ∠ X and z the side opposite ∠ Z
here y = XZ = 4.3 and z = XY = 7 , then
A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°
= 15.05 × sin79°
≈ 14.8 units² ( to 1 decimal place )
Are the two lines in the picture parallel, perpendicular, skew or neither? Be sure to explain your reasoning
Answer:
i think Parallel
Step-by-step explanation:
they are not perpendicular as the lines are not intersecting
they are not skewed because they go in same direction
and they are parallel because they never meet and go in same direction
Graph y= 0.5x^2 - 4x +6 on the coordinate plane.
Vertex:
Is this considered a minimum or maximum point?
Axis of symmetry: x=
Roots: x= and x=
Answer:
V: (4, -2), min, Axis: x = 4, Roots 2 and 6
Step-by-step explanation:
Multiply everything x 2 to get rid of the decimal in front of x^2
2y = x^2 - 8x + 12
Factor
2y = (x - 6)(x - 2)
The roots are at 2 and 6.
The axis of symmetry is in the center between the roots, so it is x = 4.
Put 4 into the original equation to find y
y = 0.5(4*2) - 4(4) + 6
y = 8 - 16 + 6, y = -2
Vertex is at (4, -2). It is a minimum because the graph opens up since x*2 is positive.
6 deliveries in 2 hours = deliveries per hour
if you see this answer now please
The unit rate for the ratio 6 deliveries in 2 hours is 3 deliveries per hours
How to determine the unit rate for the ratio?From the question, we have the following parameters that can be used in our computation:
Ratio = 6 deliveries in 2 hours
The unit rate is simply the value of the above ratio
However, with a denominator of 1
This means that we evaluate the quotient in the above expression
So, we have the following representation
Ratio = 6 deliveries/2 hours
Express as unit rate
Unit rate = 3 deliveries per hours
Hence, the unit rate is 3 deliveries per hours
Read more about unit rate at
brainly.com/question/19493296
#SPJ1
Here is a scale drawing of a garden. Tom wants to plant a tree in the garden according to the following rules: It must be 4 m from A and 2 m from CD. Place a cross where Tom can plant the tree. D 2.5 cm A 4 cm C B 1 cm represents 2m
Answer:
the cross is the blue color
John borrowed $20,000 from Beth. He pays $500 per month in interest. What is the percentage interest rate?
Answer: 2.5%
Step-by-step explanation:
From the question, we are informed that John borrowed $20,000 from Beth and that he pays $500 per month in interest.
The percentage interest rate would be calculated thus:
= Amount paid as interest / Amount borrowed × 100
= 500/20000 × 100
= 2.5%
he scale factor for a scale drawing is __________ between two measures.A. the differenceB.a ratioC.the distanceD. the absolute value
Solution
For this case we can do the following:
he scale factor for a scale drawing is a ratio between two measures.
B. a ratio
And the reason is because when we multiply the scaled figure by this ratio we obtain the original figure
Suppose a sample is taken from a population whose mean value is 51, as the sample size increase which value will the mean approach
Answer:
51
Step-by-step explanation:
Given
\(\mu = 51\)
Required
Where will the mean approach if sample size increase
Using central limit theorem, we have:
\(n \to \infty\)
\(\mu \to \mu\)
This means that; as n approaches infinity, the mean is almost expected to the \(\mu\) i.e. expected to remain unchanged.
Hence, the mean value will approach 51.