Answer:
1/100
Step-by-step explanation:
P(4 then 7) = 1/10 x 1/10
In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class did not complete the homework?
Answer:
3/16
Step-by-step explanation:
The total number of students = no. of students passed + number of students who failed.
i.e, 13+3=16
probability = 3/16 = 0.1875
Hope u understand
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A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete turn every 4 minutes. Write a cosine function to express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes), given that the passenger is at the lowest point on the wheel when t
Answer:
y = -190 cos(π t / 120) + 195
Step-by-step explanation:
General form of a sinusoidal function: y = A cos(Bt - C) + D
Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
Your final function will be:
y = -190 cos(π t / 120) + 195
A recipe calls for 21 scoops of sugar. Each scoop is 2.5 oz of sugar. How many scoops do you need if the scoop holds 3.5 oz of sugar?
Answer:
you would need 6 scoops of sugar
Answer:
You would need 15 scoops of sugar per 3.5 oz
Step-by-step explanation:
Maria is given a pay increase of 3%. After the pay increase, she earns $2472 each month. Calculate her monthly pay before the pay increase.
Answer: $2400
Step-by-step explanation:
Given
Maria got a hike of 3%.
After the hike she earns $2472 each month
Suppose, before hike she earns x each month
[tex]\Rightarrow x+x\times 3\%=2472\\\Rightarrow x(1+0.03)=2472\\\Rightarrow 1.03x=2472\\\Rightarrow x=\$2400[/tex]
Thus, she earns $2400 before the hike.
Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)
Answer:
B) Maximums: (0, 1), (2π, 1);
Minimum: (π, -3)
At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.
reduce 287/861 to the simplest term in fractions
Answer:
1/3
hope this helps
have a good day :)
Step-by-step explanation:
pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.
Answer:
[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]
= [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]
[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]
1 hour = 60 minutes
Therefore, 6 hours = 360 minutes
So , 360 minutes they spent doing mathematics.
In which function is the range equal to the domain?
1) y = 2
2) y=x?
3) y = log x
4) y = x
Part II: Constructed Response (2 pt)
4) (LT #5) One of the games at a carnival involves trying to ring a bell with a ball by hitting a
lever that propels the ball into the air. The height of the ball is modeled by the equation
h(t) = -10t2 + 30t. If the bell is 25 ft above the ground, will it be hit by the ball. Explain or justify
your response
Students, draw anywhere on this side!
Answer:
here hereh ehreh ehe
Step-by-step explanation:
The slope of the line below is -4. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y-side.
(-2, 2)
Answer:
y - 2 = - 4(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 4 and (a, b) = (- 2, 2 ) , then
y - 2 = - 4(x - (- 2) ) , that is
y - 2 = - 4(x + 2)
Find the gradient of the following line
Answer:
y=-2.6+2
Step-by-step explanation:
using the eqaution y=mx+c
Pls help me! Look at this ss
Answer:
4
Step-by-step explanation:
What is the value of x in the equation
-x =2 - 3x +6?
1) 8
2) 4
3) -4
4) -8
Answer:
x=4 Postive
Step-by-step explanation:
See the steps below:)
6 less than half of r : translate into expression
Answer:
r/2 -6
Step-by-step explanation:
less than means it comes after
half of r
r/2
6 less than means subtract
r/2 -6
a designer created a scale drawing of a new kitchen. In the scale drawing, the length of the kitchen will be 8 feet. What scale did the designer use to create the scale drawing of the kitchen
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Scale\ length = 8ft[/tex]
Required
Determine the scale of the drawing
The question is incomplete, as the actual width of the kitchen is not given. The general explanation, however, is as follows:
The scale of a drawing is represented as:
[tex]Scale = Scale\ Measurement : Actual\ Measurement[/tex]
This gives:
[tex]Scale = 8ft : Actual[/tex]
Assume the actual length of the kitchen is 24ft.
The equation becomes:
[tex]Scale = 8ft : 24ft[/tex]
Divide by 8ft
[tex]Scale = 8ft/8ft : 24ft/8ft[/tex]
[tex]Scale = 1 : 3[/tex]
Given that Δ C A T ≅ Δ D O G, select all statements that must be true
A rhombus has diagonals with lengths 6 cm and 10 cm. It’s area is ____
A. 60 cm^2
B. 30 cm^2
C. 15 cm^2
D. 36 cm^2
Answer:
B.
Step-by-step explanation:
A = ab/2
A = (6 cm)(10 cm)/2
A = 30 cm^2
Answer: B.
What is the value of x?
K
83°
L
M
(9x + 40)
Answer:
This inscribed angle is half of the intercepted arc JL, so 2(83)= 9x +40.
166 -40 = 9x, x=14.
Step-by-step explanation:
The value of x in the given figure is 14 which we obtain by inscribed angle is half of the intercepted arc.
The inscribed angle is half of the intercepted arc.
83 = 1/2(9x+40)
Now let us find the value for x
83= 9/2x + 20
Subtract 20 from both sides to isolate the x variable
83-20=9/2x
63=9/2x
126=9x
Divide both sides by 9
14 is value of x
x=14
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A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B
Answer:
A ∩ B = {4, 6}
Step-by-step explanation:
A die had 6 faces
S = {1, 2, 3, 4, 5, 6}
If A be the event of rolling an even number, then;
A = {2, 4, 6}
If B be the event of rolling a number greater than 3, then;
B = {4, 5, 6}
A ∩ B are the values that are common to both sets
A ∩ B = {4, 6}
help i’ll give brainliest
Answer:
The answer would be D, hope this helps
The coordinates of points A and B are?
B.) (-1, 3) , (3, 2)
Step-by-step explanation:
Not sure how to explan...
Answer: B: 3,2 A: -1,3
Step-by-step explanation:
What is the measure of arc GH?
Answer:
62 degrees
Step-by-step explanation:
The angle is an inscribed angle, so its measure is half the measure of the intercepted arc.
Said another way, the intercepted arc is twice the measure of the inscribed angle.
2 x 31 = 62
Answer each question and round your answer to the nearest whole number
I just need someone to help me with this, I will give brainilist I just need someone to put these numbers in the correct order!!!!!!!
Answer: I think it’s C
Answer:
A is the correct answer to this problem.
Identify the sample space of the probability experiment: answering a true or false question.
Answer:
we would need to know what the experiment was or we can't awnser
19,X, 4, 12,4
mean=11
X=
Statistics
Vocabulary
-------------------------
Mean is the average of a data set.
Find the Mean by adding all numbers and dividing by how many numbers there are in the data set.
19+4+12+4+x/5
Combine Like Terms.
39+x/5=11
Use random x values to determine x.
39+16=55
55/5=11
x=16
Insert x into the equation to make sure you're correct.
19+16+4+4+12=55
55/5=11
Please help me almost due!!!:):$:
Answer:
Our two selected points:
-3, 3
2, -4
-4 -(3) 7
_____ = - _____ = -7/5, D is your answer
2 - (-3) 5
Solve the following system.
y = -2x 2 + 3x - 1 and x + y = -1.
The solutions are
and
How many more lawns can logan mow per hour thanhow many more lawns can logan mow per hour than brian brian
Answer:
Logan can mow 1 lawn per hour more than Brian
Step-by-step explanation:
Given
[tex]Logan: 8\ lawns \to 4\ hours[/tex]
See attachment for Brian's graph
First, calculate Logan's hourly rate
[tex]Rate = \frac{Lawn}{Time}[/tex]
[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]
Rate = 2 lawns per hour
To calculate Brian's rate, we select 2 points from the linear graph
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,2)[/tex]
So, the rate is:
[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Rate = \frac{2 - 1}{2 - 1}[/tex]
[tex]Rate = \frac{1}{1}[/tex]
Rate = 1 lawn per hour
So, we have:
[tex]Logan = 2[/tex]
[tex]Brian = 1[/tex]
Calculate the difference (d)
[tex]d = Logan - Brian[/tex]
[tex]d = 2 - 1[/tex]
[tex]d = 1[/tex]
Logan can mow 1 lawn per hour more than Brian