The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.
Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given
Answer:
number of math cpurses: discrete. weight of backpacks: continuous
Step-by-step explanation:
a plumber works $22 per hour. the hourly rate increases 3% each year. a. write a function the represents the plumbers hourly rate after t years b. what is the plumbers hourly rate after 8 years.
Answer:
Step-by-step explanation:
Assuming t = two years
3% of $22.00 = .66
step-by-step
3 percent *22.00 =
(3:100)*22.00 =
(3*22.00):100 =
66:100 = 0.66
A) .66x2 = 1.32 + 22.00 = 23.32
after 2 years the plumber will make $23.32 per hour
B) .66x8 = 5.28 = 22.00 = 27.28
after 8 years the plumber will make $27.28 per hour
The required hourly rate for a plumber after 8 years will be $27.86 per hour.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
As mentioned in the question, a plumber works for $22 per hour. the hourly rate increases by 3% each year.
Let y be the hourly rate of the plumber after t years,
[tex]y = 22 [1 + 0.03]^t\\y = 22[1.03]t[/tex]
Put t = 8
[tex]y = 22 [1.03]^8\\y = 27.86[/tex]
Thus, the required hourly rate for a plumber after 8 years will be $27.86 per hour.
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which equation represents the relationship between x and y shown in the table ?
The equation that represents the relationship between x and y shown in the table is; y= 2x-3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. the equations that can be solved to get a unique solution. the power of the equation must be in one degree.
First we need to find the slope we will use rise over run to get 2.
The correct equation will replace x with any of the x values in the chart and if we get the same y values as the chart then that equation is correct.
y= 2x-3
If x = 2 and y = 1
Then
y= 2x-3
1 = 2(2)-3
1= 1
Therefore, The equation that represents the relationship between x and y shown in the table is; y= 2x-3
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Due to client growth, Dr. Smith must increase his amount of kennel space from
11 kennels to 25 kennels. How many kennels will Dr. Smith need to add to the
clinic?
Answer:
14
Step-by-step explanation:
25-11 = 14
What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0
RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81
Answer:
is C=64
Step-by-step explanation:
Answer:
c=64
Step-by-step explanation:
I took the test
Which table represents of a linear function?
Answer:
X | Y
2 | 7
4 | 9 <-- linear.
6 | 11
8 | 13
A linear function is when there is an even consonant decline or up-rise.
X | Y
1 | 2
2 | 4 <-- also linear.
3 | 6
4 | 8
please help me
f(x) =3x^2 + 2x - 1
what is f(5)
Answer:
17
Step-by-step explanation:
f(5)=3(5)+2. f(5)=17
Answer:
f(5) = 84Step-by-step explanation:
f(x) =3x^2 + 2x - 1
what is f(5)
f(5) = 3(5)² + 2(5) - 1
f(5) = 75 + 10 - 1
f(5) = 84
Your teacher is giving away candy from a bag. The bag contains 5 Reese's Peanut
Butter Cups, 4 Snickers, 3 Sour Patch, & 6 Skittles. Find the probability that you and
your friend choose Snickers. Find P(Snickers n Snickers).
Answer:
P(Snickers n Snickers) = [tex]\frac{2}{51}[/tex]
Step-by-step explanation:
Given
Bag of candy
5 Reese's Peanut Butter Cups,
4 Snickers
3 Sour Patch
6 Skittles
Required
Calculate P(Snickers n Snickers)
To solve this question, it'll be assumed that you and your friend selected snickers at a consecutive time.
First, we need to calculate the total number of candy
Total = 5 + 4 + 3 + 6
Total = 18 candies
P(Snickers n Snickers) means P(Snickers and Snickers);
i.e. the probability of selecting snicker twice
Number of snickers = 4;
So, the probability of you selecting a snicker first is [tex]\frac{4}{18}[/tex]
This is gotten by dividing number of snickers by total candies.
At this point, there are 4 - 1 snickers left and there are 18 - 1 candies left;
So, the probability of your friend selecting a snicker is [tex]\frac{4 - 1}{18 - 1}[/tex].
So, P(Snickers n Snickers) = [tex]\frac{4}{18}[/tex] * [tex]\frac{4 - 1}{18 - 1}[/tex]
P(Snickers n Snickers) = [tex]\frac{4}{18}[/tex] * [tex]\frac{3}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{9}[/tex] * [tex]\frac{3}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{3}[/tex] * [tex]\frac{1}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{51}[/tex]
Hence, the probability of you and your friend choosing snickers is [tex]\frac{2}{51}[/tex]
Please help me find the volume of the triangular prism and the area of the hexagon.
Will give brainliest answer
Answer:
[tex]31.5units^2[/tex]
Step-by-step explanation:
The shape shown above can be split into 2 triangles and 1 rectangle.
The formula for a triangle:
[tex]A=\frac{1}{2} bh[/tex]
The formula for a rectangle:
[tex]A=lw[/tex]
Area of triangle (both have the same lengths so you can just double the area):
[tex]A=\frac{1}{2} (3)(3.5)\\A=5.25[/tex]
Area of rectangle:
[tex]A=(7)(3)\\A=21[/tex]
Add the individual areas together to get the overall:
5.25 + 5.25 + 21 = 31.5
J’ai besoin d’aide pour cette question.
Je vais mettre branliest.
7. Complète le tableau suivant.
A) Un politicien répond à 20 questions en 15 minutes. Il faut le mettre en table de valeurs et en graphique.
Answer:
tracer des points à (0,0) et (3,4) et connecter des lignes pour créer un graphique
Step-by-step explanation:
J'utilise google translate pour vous aider, IDK
1. Why is cosine positive in the 4th quadrant and sine isn't?
Your answer
2. An angle measures 120 degrees. Describe how to use special right triangles
and the unit circle as tools to calculate the sine and cosine of this angle.
Your answer
3. Explain why you cannot use the Distributive Property to evaluate an expression
in the form of sin(a + b). Please illustrate with an example along with your
explanation
Your answer
Answer:
because cosine dependency on sine - 1
Step-by-step explanation:
The unit circle has a radius of one, so the hypotenuse is 1. Sine is opposite over hypotenuse. Since the hypotenuse is 1, sine on the unit circle is the opposite side. When you look at the unit circle, the opposite side is perpendicular to the x-axis. This means that, essentially, the opposite side is the height from, or the distance from, the x-axis, which is the y-value.
a unit circle (a circle with radius one), is that if you draw a right triangle where the hypotenuse of the triangle connects a point on the unit circle with the point (0, 0), the length of the hypotenuse is always going to be one. Because that's the radius of the circle! And the length of the other two sides are just going to be the x and y coordinates of the point on the unit circle.
Take a little time drawing right triangles were the hypotenuse connects the middle of the unit circle to a point on the circle and see if you can convince yourself that this is the case.
So you have a right triangle where one side length is the x-coordinate and one side length is the y-coordinate, and the hypotenuse is equal to 1. This means you can figure out the sine and cosine of the angle that the hypotenuse and the x-axis make:
The cosine is the length of the adjacent side (which is the x-coordinate) divided by the length of the hypotenuse (which is 1). So the cosine is just the x-coordinate!
Similarly, the sine is the length of the opposite side (which is the length of the y-coordinate) divided by the length of the hypotenuse (which is 1). So the sine is the y-coordinate.
The trigonometric ratio defining the tangent (opposite over adjacent) may be less intuitive from the unit circle, but I hope you can see from the unit circle why the tangent of an angle is equal to the sine of the angle over the cosine.
A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?
Answer:
you need 3000000 bees
Step-by-step explanation:
1kg=1000000mg.
1000000x3=3000000
hope this helps, have a good day :)
PLEASE HELP I DON'T HAVE ANYTIME LEFT!!!!
Which inequality is true? Use the number line to help.
A number line going from negative 2.5 to positive 2.5 in increments of 0.5.
Negative 1.5 greater-than 0.5
Negative 0.5 greater-than 0
Negative 1.5 less-than negative 0.5
One-half greater-than 0.5
Answer:
Negative 1.5 less than negative 0.5
Step-by-step explanation:
False, negative 1.5 would not be greater than 0.5 since negative 1.5 is a negative meaning it goes to the left of the zero, so it is less than 0.
False, negative 0.5 is again less than 0 so therefore it would not be greater.
False, one half is the same as 0.5 just in word form.
That means, negative 1.5 is less than negative 0.5 since it is further away from the 0.5 going to the left.
Answer:
C. –2.5 < –2
Step-by-step explanation:
Which expression can be used to find the surface area of the following rectangular prism?
A.15+15+10+10+6+6
B.10+6
C.10+10+6+6
D.15+15+10+10+6
A fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students can be expected to prefer cheese pizza?
Answer:
11.76
Step-by-step explanation:
We are given that,
Total number of students = 340
Students that prefer cheese pizza = 40
Students that prefer pepperoni pizza = 28
Thus, we get that,
The proportion of students that prefers cheese pizza =
i.e. The proportion of the students preferring cheese pizza = 0.1176 = 11.76%
Hence, 11.76% of the students prefer cheese pizza.
What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3
Answer:
3127
Step-by-step explanation:
YES
The volume of the given composite figure is 312π mm³
Given is a composite figure, having two solids, a cone and a hemisphere,
We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,
= 1/3 π r² h + 2/3 π r³
= 1/3 π r²[h+2r]
= 1/3 π 36[12+14]
= 312 π
Hence, the volume of the given composite figure is 312π mm³
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what do I do if thre are 2 middles in a mean
Answer:
If there is an odd number of in one of the medians, the median is the center term. If there is just an even number of terms, add the two of th middle terms and then divide by 2to get your answer.
Mark as brainliest please I need a few more :D
What is the probability of two dice landing on 4 If you already know the first die has
landed on 4
Answer:
1/6
Step-by-step explanation:
no matter what, the die always has the same probability of landing on one specific number.
Really hope this helps!!
stay safe :0)
The required probability of both dice landing on 4 is 1/6.
What is probability?The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
If we already know that the first die has landed on 4, then the probability of the second die landing on 4 is the same as the probability of a single die landing on 4, which is 1/6.
This is because the two dice are independent of each other, and the outcome of the first die does not affect the outcome of the second die.
Therefore, the probability of two dice landing on 4 given that the first die has landed on 4 is 1/6 or approximately 0.1667.
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there's something wrong with my eyes, i can't see when i close them. plz help me!!!!!
Step-by-step explanation:
Wow no way! You must have like a disorder or smthing! U should go to the doctor right away! U know what, so should I since I have the same problem as u!!
Answer: Your eyelids are doing it’s thing.
Step-by-step explanation: This happens to me as well. I can’t see when I close my eyelids.
Which of the following number sentences is an example of the associative property of multiplication?
4 × 5 = 5 × 4
6 × 1 = 6
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
which of the following as the same value as 2^3 a. 5 b. 6 c. 8 d. 23 f. none of the above
Answer:
8
Step-by-step explanation:
2 x 2 = 4 x 2 = 8
What is the surface area of the square pyramid represented by the net below?
Answer:
64 cm^2
Step-by-step explanation:
Square: 4*4 = 16
Triangles: 4((4*6)/2))
= 4(24/2)
= 4(12)
= 48
Add the square and triangles together
= 16 + 48
= 64
The total will be 64 cm^2
Answer: 64 cm2
Step-by-step explanation:
un unitățile de măsurat lungimea mai mici decât unitatea principală sunt.......................... ................. Și................. Și se numesc................ Metrului. Decametrul, hectometrul și............. sunt................... metrului.
Answer:
english plz !!!!!!!!!!
Step-by-step explanation:
Which set of numbers is in order from greatest to least?
o 13,823; 13,328; 13,238; 12,328
13,238; 13,328; 13,823; 12,328
O 13,823; 13,238; 13,328; 12,328
O 12,328:13,238; 13,328; 13,823
Answer:
A. 13,823; 13,328; 13,238; 12,328
Step-by-step explanation:
(5×7) + 3 = 5 ×(2×7) true or false
Step-by-step explanation:
35 + 3 = 5 x 14
38 = 70
False
Answer:
false
Step-by-step explanation:
(5×7)+3
(35)+3
38
5×(2×7)
5×(14)
70
What is the x-intercept of the continuous function shown in the table? (0, –8) (0, 2) (–8, 0) (2, 0)
Answer:
d. (2, 0)
Step-by-step explanation:
In the picture attached, the missing table is shown.
At x-intercept, f(x) = 0, that is, if the value of the function is zero, the function intersects x-axis.
It can be seen at the picture, that f(x) = 0 when x = 2, then the point is (2, 0)
The grid you see below is in the shape of a rectangle. What is the area, in square
units, of the shaded part?
Answer:
The area of the shaded region is [tex]18\ \text{units}^2[/tex].
Step-by-step explanation:
On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
b is base and h is height
From this figure, each box is a square of side 1 unit say.
Its height will be 4 units and its base is 9 units
So,
[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]
So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].
PLEASE ANSWER QUICKLY!!!
You have a regular deck of 52 cards. You are wanting to draw a king, than an ace. You draw the first card, then replace it back into the deck. Have you created an independent or dependent event?
Answer:
Dependent Event
Step-by-step explanation:
Sorry if this was late!
Aiyanna and Rose have 42 cards to sign.Aiyanna signs 1/3 of the cards,while Rose signs 4/7.How many cards are left to be signed
Answer: Rose
Step-by-step explanation:
Aiyanna. 1/3 of 42= 14. 1/3 = 7/21
Rose. 4/7 of 42 = 24 4/7 = 12/21
Answer:
Aiyanna. 1/3 of 42= 14. 1/3 = 7/21
Rose. 4/7 of 42 = 24 4/7 = 12/21
Step-by-step explanation:
