Answer:
no
Step-by-step explanation:
This is not a function
To be a function each x can only go to one y
x=3 goes to both y=10 and y=8
Not a function
whats the missing number
Answer:
5Step-by-step explanation:
X * 3^2 +2 = 47
X * 9 + 2 = 47
9X = 47 - 2
9x = 45
x = 45 : 9
X = 5
Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equals 19.62 is _____.
Answer:
The probability that x equals 19.62 is 0
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In the normal probability distribution, the probability of an exact value, that is, P(X = x) is 0. Thus, the probability that x equals 19.62 is 0
What’s the answer to this? I need to do this for extra credit and I have no idea what this is
9514 1404 393
Answer:
20
Step-by-step explanation:
As with any evaluation problem, take it step by step according to the order of operations.
The first thing you need to do here is compute a#b.
The given definition can be simplified a bit for evaluation purposes:
a#b = a²b -ab² = ab(a -b)
Then for a=3 and b=-2, you have ...
(3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30
Now, you are in a position to evaluate the expression you're asked for.
[tex]\dfrac{(a\#b)^2}{15-(a\#b)}=\dfrac{(-30)^2}{15-(-30)}=\dfrac{900}{45}=\boxed{20}[/tex]
Suppose aggressive behavior is the dependent variable in a regression model and the other variables are independent variables. Is there evidence of extreme Multicollinearity
Answer and explanation:
Multicollinearity happens when multiple independent variables are correlated and therefore it is hard to determine which independent variable has the most impact or is most significantly affecting the dependent variable. This could be a source of confusion as the coefficients become less reliable.
Extreme multicollinearity occurs when there is exaggerated standard errors or increased variance of coefficient estimates.
A density curve for all the possible weights between 0 pounds and 10 pounds is in the shape of a rectangle. What is the height of the rectangle in this density curve? O A. 0.01 OB. 0.001 C. 0.1 O D. 0.0001 SUBMIT
Answer:
0.1
Step-by-step explanation:
For a density curve, total area = 1
Probability lies in between 0 and 1
The Area of rectangle :
Area = Length * width
Length = 0 - 10 = 10
Area = 1
Hence,
Area = Length * width
1 = 10 * w
1 = 10w
w = 1 /10
w = 0.1
The cost of 5 diesels is $1025. Calculate the cost of 17diesels
Write a cosine function that has an amplitude of 3, a midline of 2 and a period
Answer:
f(x) = 3 cos (2Pi / period value ; x )+ 2
or see answer using 2 as the period see answer in bold below.
Step-by-step explanation:
cosine function amplitude of 3 is A = 3
The period is used to find B
You need to show period value as the denominator and work out from there with 2PI as a function numerator to show as 2pi / period can be a data angle
C is the adding value.
Acos (Bx) + C
A = 3
Bx = 2 pi / period
C = + 2
However f 2 is also the period found
then we just plug in 2 to above formula
f(x) = 3 cos (2Pi / 2 ; x )+ 2
f(x) = 3cos (x pi) + 2
Solve the inequality:
4 +5t < 19
Answer:
t < 3 is the answer
Step-by-step explanation:
source: https://www.tiger-algebra.com/drill/4_5t%3C19/
^ (it has an explanation too)
(8+3)(-1) Distributive Property
Answer:
-11
Step-by-step explanation:
(8+3)(-1) Add 8 + 3
(11)(-1) Multiply
-11 Final Answer
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(8 + 3)(-1)}\\\\\large\textsf{(8 + 3) = \bf 11}\\\\\large\textsf{11(-1)}\\\\\large\textsf{= \bf -11}\\\\\boxed{\boxed{\large\textsf{\large\textsf{Answer: \huge \bf -11}}}}\huge\checkmark\\\\\\\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Find the value of x if the angles below are vertical.
Answer:
x = 19
Step-by-step explanation:
Since the angles are vertical, that means these angles are equal to each other:
7x + 34 = 10x - 23
7x - 10x = -23 - 34
-3x = -57
x = 19
Answer:
Step-by-step explanation:
7x+34=10x-23 (being vertically opposite angles)
34+23=10x-7x
57=3x
57/3=x
19=x
Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. __________________
b. What are the speeds of the two cyclists? __________________
9514 1404 393
Answer:
a) r + (r+3) = 68/4 . . . . equation to answer the question
b) r = 7, r+3 = 10 . . . miles per hour
Step-by-step explanation:
a. The combined speed of the two cyclists is found from the time it takes for them to close the distance between them. The faster cyclist is traveling at (r+3) miles per hour.
speed = distance/time
r + (r+3) = 68/4 . . . . an equation to answer the problem
__
b. Solving the above equation helps us answer the question
2r +3 = 17 . . . simplify
2r = 14 . . . . . subtract 3
r = 7 . . . . . . divide by 2
r+3 = 10
The speeds of the two cyclists are 7 miles per hour and 10 miles per hour.
In the figure below, AB is a diameter of circle P.
What is the arc measure of minor arc AC in degrees?
Answer:
111degrees
Step-by-step explanation:
ArcAC + arcBC = 180
Given theat arcBC = 69degrees
arcAC + 69 = 180
arcAC = 180 - 69
arcAC = 111
Hence the length of minpr arc AC is 111degrees
is y= 2^x + 3x - 4 a quadratic function
Answer:
No
Step-by-step explanation:
Due to the absence of the squared coefficient, we can automatically strike this as not a quadratic.
And, judging by the terms of the function, this is a trinomial.
Please help i’ll rate brainliest too
Answer:
- 4
Step-by-step explanation:
h(x) = sin x
f(x) = | 3x - 4 |
g(x) = 2x² - 6
h( [tex]\frac{\pi }{2}[/tex] ) = sin ( [tex]\frac{\pi }{2}[/tex] ) = 1
f ( 1 ) = | 3 × 1 - 4 | = 1
g ( 1 ) = 2( 1² ) - 6 = - 4
g ( f ( h ( [tex]\frac{\pi }{2}[/tex] ) ) ) = - 4
Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6
Answer:
Set builder notation: {a | a ≥ -21}
Interval notation: [-21, ∞)
Step-by-step explanation:
A set represents a collection of things, objects, or numbers. A set builder notation is in the form y = {x | x is an odd number between 8 and 10}, which means y contains all the odd numbers between 8 and 10.
Interval notation is a way to define a set of numbers between a lower limit and an upper limit using end-point values. for example (8, 20) means numbers between 8 and 20.
Given -3a-15≤-2a+6; solving :
-3a - 15 ≤ -2a + 6
-3a + 2a ≤ 6 + 15
-a ≤ 21
dividing through by -1:
a ≥ -21
The solution is:
Set builder notation: {a | a ≥ -21}
Interval notation: [-21, ∞)
What is the radius of the quarter if the area is about 452.16 square millimeters ? Use 3.14 for pi. Do not label. Do not round.
Answer:
Step-by-step explanation:
Im not sure but i think
452.16/3.14.= 3.14r^2/3.14
144(square root sign) = squarw root sign r^2)
12=r
You roll two fair dice. Find the probability that the first die is a 6 given that the minimum of the two numbers is a 2.
Answer:
1/9 = 0.1111 = 11.11% probability that the first die is a 6 given that the minimum of the two numbers is a 2.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Minimum of the two numbers is 2.
Event B: First die in a 6.
Fair dice:
Each throw has 6 equally likely outcomes. Thus, in total, there are [tex]6^2 = 36[/tex] possible outcomes.
Minimum of the two numbers is a 2.
(2,2), (2,3), (3,2), (2,4), (4,2), (2,5), (5,2), (2,6), (6,2).
9 total outcomes in which the minumum of the two numbers is a two, which means that:
[tex]P(A) = \frac{9}{36}[/tex]
Minimum of the two numbers is a 2, and the first die is a 6.
Only one possible outcome, (6,2). So
[tex]P(A \cap B) = \frac{1}{36}[/tex]
Probability that the first die is a 6 given that the minimum of the two numbers is a 2.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{1}{36}}{\frac{9}{36}} = \frac{1}{9} 0.1111[/tex]
1/9 = 0.1111 = 11.11% probability that the first die is a 6 given that the minimum of the two numbers is a 2.
$250 is invested in an account earning 6.8% interest (APR), compounded monthly. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
Answer:
36123.5994797
4x2-36x+80=0
Soma e Produto
Jane needs to buy mulch to cover a circular garden
whose dimensions are shown in the figure. The cost of
the mulch is $32.52 per square yard. Find the amount
of mulch she will need to the nearest square yard and
find the cost of the mulch.
Answer:
$3089.4
Step-by-step explanation:
A circle is a locus of a point such that its distance from a point known as the center is always constant.
The area of a circle is given by the formula:
Area = πr²; where r is the radius of the circle.
From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:
Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)² = 95 yd²
Since mulch cost $32.52 per square yard, hence:
Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4
If P dollars is deposited in an account paying R percent annual interest, approximate the amount in the account after x years.
P = $1600, R = 8%, x = 16
The amount in the account after 16 years is approximately
Answer: $3648
Step-by-step explanation:
Firstly, we have to calculate the interest which will be:
= Principal × Rate × Time
= $1600 × 8% × 16
= $1600 × 0.08 × 16
= $2048
Therefore, the amount in the account after 16 years will be:
= Principal + Interest.
= $1600 + $2048
= $3648
The lines shown below are parallel. If the green line has a slope of -3/7, what is
the slope of the red line?
A. -3/7
B. 7/3
C. -7/3
D. 3/7
what is the value of the x in the given diagram?
Answer:
x = 79
Step-by-step explanation:
All triangles have a sum of 180°. Knowing this, we can solve for the unknown angle.
56 + 23 + ? = 180
79 + ? = 180
? = 101
The variable x is known as an exterior angle. That and the angle we just solved for are supplementary meaning they add up to 180°.
101 + x = 180
x = 79
Answer:
79 degrees
Step-by-step explanation:
56 + 23 = 79
How many liters of a 20% alcohol solution must be mixed with 50 liters of a 70% alcohol solution to get a 40% alcohol solution?
(4-2)^2x5+9
Answer+step by step
Answer:
4-2 = 2
2x5+9 = 19
2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288
Answer:
29
Step-by-step explanation:
Use PEMDAS
P- Parenthesis
E- Exponents
M- Multiply
D- Divide
A- Add
S- Subtract
(4-2)^2×5+9 first you do parenthesis which is (4-2)=2
(2)^2×5+9 next the exponents (2)^2=4
4×5+9 now the multiplication, 4×5=20
20+9 And now finish it off with the addition
So the answer ends up being 29.
A local police chief claims that about 51% of all drug related arrests are ever prosecuted. A sample of 900 arrests shows that 47% of the arrests were prosecuted. Is there sufficient evidence at the 0.01 level to refute the chief's claim? State the null and alternative hypotheses for the above scenario.
Answer:
The null hypothesis is [tex]H_0: p = 0.51[/tex].
The alternate hypothesis is [tex]H_1: p \neq 0.51[/tex].
The p-value of the test is 0.0164 > 0.01, which means that there is not sufficient evidence at the 0.01 level to refute the chief's claim.
Step-by-step explanation:
A local police chief claims that about 51% of all drug related arrests are ever prosecuted
At the null hypothesis, we test if the proportion is of 51%, that is:
[tex]H_0: p = 0.51[/tex]
At the alternate hypothesis, we test if the proportion is different from 51%, that is:
[tex]H_1: p \neq 0.51[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.51 is tested at the null hypothesis:
This means that [tex]\mu = 0.51, \sigma = \sqrt{0.51*0.49}[/tex]
A sample of 900 arrests shows that 47% of the arrests were prosecuted.
This means that [tex]n = 900, X = 0.47[/tex]
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.47 - 0.51}{\frac{\sqrt{0.51*0.49}}{\sqrt{900}}}[/tex]
[tex]z = -2.4[/tex]
P-value of the test:
Probability that the sample proportion differs from 0.51 by at least 0.04, which is P(|z|>2.4), which is 2 multiplied by the p-value of Z = -2.4.
Looking at the z-table, the Z = -2.4 has a p-value of 0.0082.
2*0.0082 = 0.0164.
The p-value of the test is 0.0164 > 0.01, which means that there is not sufficient evidence at the 0.01 level to refute the chief's claim.
What is the equation of the line graphed below?
Answer: [tex]y=-\frac{1}{3}x[/tex]
Step-by-step explanation:
From the origin we can see to get to the point plotted we have to go down 1 and right three giving us the slope [tex]\frac{-1}{3}[/tex]
These are in the form of y=mx+b
b is the y-intercept and m is the slope
since the y-intercept is 0 b is 0 and isn't need leaving us with y=mx
We can put our slope into the equation giving us the answer in C
The required equation of the line is that passing through the point (3, -1) is y = -x/3.
Given that,
To determine the equation of the line that passes through the origin and a point (3, -1).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Since the line passes from the origin and a point (3, -1)
So, the slope of the line is given by,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the respective values in the above equation,
m = -1 + 0 / 3 - 0
m = -1/3,
Now the point-slope form of the equation of a line is,
y - y₁ = m (x - x₁)
Substitute the respective values in the above equation,
y + 1 = -1/3 (x - 3)
y = -x/3
Thus, the required equation of the line is that passing through the point (3, -1) is y = -x/3.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
plz help me i am trying to get this done
Answer:
2700
Step-by-step explanation:
108*25=2700
100*25=2500
+
8*25=200
-------------------------------
2700
HELP PLEASEEEEEEEE !!!
- Susan drives north on the 405 Freeway at 50
miles per hour. Two hours after Susan
passes under Westminster Blvd, Maria
enters the 405 Freeway at Westminster Blvd
and heads north at 60 miles per hour. If both
cars maintain their average speeds, how long
will it take Mary to catch up with Susan?
Answer:
If both cars maintain their average speeds, it will take 12 hours for Mary to catch up with Susan.
Step-by-step explanation:
Since Susan drives north on the 405 Freeway at 50 miles per hour, and two hours after Susan passes under Westminster Blvd, Maria enters the 405 Freeway at Westminster Blvd and heads north at 60 miles per hour, if both cars maintain their average speeds, to determine how long will it take Mary to catch up with Susan the following calculation must be performed:
Hour 1 = 50
Hour 2 = 100
Hour 3 = 150 - 60
Hour 4 = 200 - 120
Hour 5 = 250 - 180
Hour 6 = 300 - 240
Hour 7 = 350 - 300
Hour 8 = 400 - 360
Hour 9 = 450 - 420
Hour 10 = 500 - 480
Hour 11 = 550 - 540
Hour 12 = 600 - 600
Therefore, if both cars maintain their average speeds, it will take 12 hours for Mary to catch up with Susan.