When Ian scores 44 out of 60, his score as a 1 decimal point is 0.3.
How to calculate the decimal?From the information, Ian scores 44 out of 60. This will be illustrated as:
Ian's score = 44
Total score = 60
The decimal will be illustrated as:
= Ian's score / Total score
= 44 / 60
= 4 / 15
= 0.3
Therefore, the score is 0.3
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suppose that buses are scheduled to arrive at a bus stop at noon but are always x minutes late, where x is an exponential random variable with mean of 4 minutes. suppose that you arrive at the bus stop precisely at noon. compute the probability that you have to wait for more than five minutes for the bus to arrive.
[tex]e^{-5 \lambda}[/tex] is the probability that we have to wait for more than 5 min for the bus to arrive.
What probability exactly is?Mathematical representations of the likelihood that an event will occur or that a statement is true are dealt with in the area of probability.A number between 0 and 1, where 0 roughly denotes impossibility and 1 roughly denotes certainty, is the probability of an event.Axiomatic, classical, empirical, and subjective are the four most popular approaches to probability.So, [tex]f_X(x)=\lambda e^{-\lambda x}, x \geq 0[/tex] ⇒ [tex]P(x \geq 5)=\int_5^{\infty} f_X(x) d x[/tex]
Now, solving the above function as follows:
[tex]\begin{aligned}&P(x \geq 5)=\int_5^{\infty} f_X(x) d x \\&=\int_5^{\infty} \lambda e^{-\lambda x} d x \\&=\left.\right|_5 ^{\infty} \frac{\lambda e^{-\lambda x}}{-\lambda} \\&=\left.\right|_5 ^{\infty}-e^{-\lambda x} \\&=e^{-5 \lambda}\end{aligned}[/tex]
Therefore, the probability that we have to wait for more than 5 min for the bus to arrive is [tex]e^{-5 \lambda}[/tex].
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The correct question is given below:
Suppose that the buses arrive are scheduled to arrive at a bus stop at noon are always X minutes late, where X is an exponential random variable with probability density function [tex]f_X(x)=\lambda e^{-\lambda x}, x \geq 0[/tex]. Suppose you arrive at the bus stop precisely at noon. Find the probability that you have to wait for more than 5 min for the bus to arrive
find the value of expression when y=4 6y-78
PLUG IN THE VALUE 4 IN THE PLACE OF Y AND SIMPLIFY
[tex] = 6(4) - 78 \\ = 24 - 78 \\ = - 54[/tex]
HOPE THIS HELPS
Estimate the quotient of 45 ÷ 1.5.
67.5
30
9
3
Answer:
30
Step-by-step explanation:
Please help
Step by step
What is the sign of -3^40 - (5.6 ÷ 2.1)?
Choose 1 answer:
Positive
Negative
Zero
Answer:
Step-by-step explanation:
negative
Which point is the BEST choice for the location of 377√?
The best choice for the location of the square root of 377 is B. less than 20.
How to illustrate the information?It should be noted that the square root of a number simply means the number that we can multiply but itself which will give the original number.
In this case, it should be noted that the square root of 377 is 19.4. It should be noted that this is close to 20.
Therefore based on the options given the correct option is B.
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Which point is the BEST choice for the location of ✓377?
Less than 15
Less than 20
Less than 14
More than 10
Answer:
B
Step-by-step explanation:
The Marianas Trench in the Pacific Ocean is the deepest part of the ocean. It's depth is 6.85 miles. Sound
travels 4700 feet in one second under water. Find the time, to the nearest tenth of a second, it takes sound to
travel from the surface of the ocean to the bottom of the Marianas Trench and back.
6.85 miles is how deep it is. Under water, sound may travel 4700 feet in a second. The Time takes to travel the sound is 7.69.
Given that,
The deepest area in the ocean is the Marianas Trench in the Pacific Ocean. 6.85 miles is how deep it is. Under water, sound may travel 4700 feet in a second.
We have to calculate the time it takes for sound to travel from the ocean's surface to the Marianas Trench's depths and back, to the nearest tenth of a second.
We know the Distance formula is
Distance =rate×times
Time=Distance/rate
We convert 4700 feet to miles
We get,
4700 feet =0.89 miles
Now,
Time=6.85/0.89
Time=7.69
Therefore, the Time takes to travel the sound is 7.69.
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A wireless carrier offers the following plans that a person is considering.
The Family Plan: $90 monthly fee, unlimited talk and text on up to 8 lines, and data charges of $40 for each device.
The Mobile Share Plan: $120 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $35 for each device.
Use P for the number of devices that need data plans as part of their cost.
Find the model of the total cost of the Family Plan.
Find the model of the total cost of the Mobile Share Plan.
Assuming they stay under their data limit, find the number of devices that would make the two plans equal in cost.
If a family has 3 smart phones, which plan is more affordable?
Using linear functions, it is found that:
The model of the total cost of the Family Plan is: F(P) = 90 + 40P.The model of the total cost of the Mobile Share Plan is: M(P) = 120 + 35P.The costs will be the same for 6 devices.For 3 smartphones, the Family Plan is more affordable.What is a linear function in slope-intercept format, and why it is used in this problem?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).In the context of this problem, it is used because the rate of change for each plan is constant, that is, for each device, there is a constant increase in the plan charge.
For the plans in this problem, we have that:
The intercept is given by the monthly fee.The slope is given by the charges for each device.Hence the models for each plan are given as follows, with P representing the number of devices.
Family Plan: F(P) = 90 + 40P.Mobile Share Plan: M(P) = 120 + 35P.The costs will be the same when:
F(P) = M(P)
Hence we solve for P to find the number of plans as follows:
90 + 40P = 120 + 35P
5P = 30
P = 6 devices.
For 3 smartphones, the costs are given as follows:
F(3) = 90 + 40(3) = 210.M(3) = 120 + 35(3) = 225.210 < 225, hence the Family Plan is more affordable.
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ANSWER QUICK PLEASE ILL GIVE BRAINLY AND POINTS
Answer:
x = -11
Step-by-step explanation:
JL + LM = JK + KM
x + 2 + 2x + 27 = 9 + 7
x + 2x + 22 + 27 = 9 + 7
Combine like terms,
3x + 49 = 16
Subtract 49 from both sides,
3x = 16 - 49
3x = -33
Divide both sides by 3,
x = -33/3
x = -11
How would I do this one
Answer/Step-by-step explanation:
y = -x - 3
m = slope = (-1/1)
b = y-intercept = -3 or (0, -3)
Point 1: (0, -3)
Point 2: (-1, -2)
Point 3: (1, -4)
I hope this helps!
Answer:
Step-by-step explanation:
y=-x-3
x | -3 | 0 |
y | 0 | -3|
1) x=-3
y=-(-3)-3
y=3-3
y=0
Thus, (-3,0)
2) x=0
y=-0-3
y=-3
Thus, (0,-3)
The ratio of Ed's toy cars to Pete's toy cars was initially 5:2. After Ed gave 30 toys car to Pete, they each owned an equal number of toy cars. How many toy cars did they have altogether?
Answer:
5:2
5x-30 = 2x+30
3x = 60
x = 20
total cars:
5(20)+2(20)
=100+40
=140cars
Please answer the question in the photo
Answer: 40
Step-by-step explanation:
There are 9 cogs on the outside, and the circumference of a circle is 360 degrees. Dividing 360 by 9 yields 40 degrees.
OMG ITS DUE TMR HELP ME
Based on the points given for the line in the table, the equation in slope intercept form is y = -1/2 + 1
How to find the equation of the line?To find the equation of a line, you first need to find the slope of the line as:
= Change in y / Change in x
= (0 - 1) / (2 - 0)
= -1 / 2
= - 1/2
Using the slope, find the y-intercept:
y = slope(x) + y-intercept
0 = -1/2(2) + y-intercept
y-intercept = 0 + 1
y-intercept = 1
The equation in slope-intercept form is:
y = -1/2 + 1
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WHAT IF? You need a mean score of at least 85 points to advance to the next round of the touch-screen trivia game.
A banner titled, Trivia Challenge shows your scores. The score with remarks are as follows. Game 1: 95, Very impressive. Game 2: 91, Good job. Game 3: 77, You can do better. Game 4: 89, Nice work.
Which scores in the fifth game will allow you to advance?
The mean score in the fifth game that will allow you to advance is 73.
What is the mean score that will allow you to advance?
The mean score in the fifth game that will allow you to advance can be gotten this way:
Assign the mean score, the variable, and x.
Compute the scores with remarks as follows:
95 + 91 + 77 + 89 + x ≥ 85
5
352 + x ≥ 85
5
85 × 5 = 425
352 + x ≥ 425
x = 425 - 352
x = 73.
So, the score in the fifth game that will allow you to advance will be 73.
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Evaluate.
0/−1.02 ⋅ (−4)
Enter your answer in the box.
Model Real Life Tours of a space
center can have no more than
7 guests. There are 31 guests in line to
tour the space center. Complete the
statements.
tours are full.
tours are needed.
guests are in the last tour.
The number of centers that will be needed to contain the guests is 5.
How to calculate the value?It should be noted that the question isn't well written but will be answered based on the information given.
From the information, a space center can have at most 7 guests and there are 31 guests. In this case, the number of space centers needed will be calculated by dividing the number of guests by the numbers that are contained in each center.
This will be:
= Number of guests / Number contained by each center
= 31 / 7
= 4 3/7
In this case, since there's a remainder of 3, this implies that we will need an extra space center. Therefore,the total space centre will be:
= 4 + 1
= 5
In this case, the value of 5 that's gotten simply shows the number of space centers that will be needed.
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For f(x) = √x and g(x) = x + 9, find the following functions.
a. (f o g)(x) =
(Simplify your answer.)
b. (g o f)(x) =
(Simplify your answer.)
c. (f o g)(7) =
(Simplify your answer.)
d. (g o f)(7) =
(Simplify your answer.)
Show your work below.
Part a
[tex](f \circ g)(x)=f(g(x))=\sqrt{x+9}[/tex]
Part b
[tex](g \circ f)(x)=g(f(x))=\sqrt{x}+9[/tex]
Part c
[tex](f \circ g)(7)=\sqrt{7+9}=4[/tex]
Part d
[tex](g \circ f)(7)=\sqrt{7}+9[/tex]
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
D
Step-by-step explanation:
X=7/8t+3; t what does t equal?
Answer:
[tex]t=\frac{8x-24}{7}\\[/tex]
Step-by-step explanation:
[tex]\frac{7}{8}t+3=x\\\frac{7}{8}t=x-3\\7t=8x-24\\t=\frac{8x-24}{7}[/tex]
Pretty simple, basic algebra.
1. Switch the sides to make it easier to read
2. Subtract 3 on both sides
3. Divide both sides by 8 to cancel the denominator
4. Divide both sides by 7 to isolate the y
Determine whether the table represents a linear or nonlinear function.
Answer:
Linear Function
Step-by-step explanation:
A linear function has constant slope
That means the ratio of y differences to x differences must be the same throughout the function. In other words the rate of change of the function y value is the same throughout the function
IF we look at the table we see that as x increases by 1, y decreases by 15
For example at x = 0, y = 20 and at x = 1, y = 5
So change in y/change in x = 0 = (5-20)/(1-0) = -15/1 = -15
If we look at another pair of points, say x = 1, y=5 and x = 2, y = -10
we get the rate of change = (-10 - 5)/(2-1) = -15/1 = -15
This is the same for any two x, y pair of values
So it is a linear function
This is a question from IXL. I need help! ASAP thanks
The image of triangle CDE after a rotation of 90º counterclockwise around the origin is graphed at the end of the answer.
What is a rotation?When a polygon undergoes a rotation, this rotation is over an angle measure, that defines the coordinate rule for each vertex of the polygon.
For triangle CDE, the vertices are given as follows:
D(-7,-1), C(-7,-7), E(-4,-8).
The rule for a rotation of 90º counterclockwise around the origin, for each vertex (x,y) of the polygon, is given by:
(x,y) -> (-y,x).
Hence, applying the rule above, the vertices of the image of triangle CDE will be given as follows:
D'(1,-7), C'(7,-7), E'(8,-4).
The triangle, with these vertices labeled, is graphed at the end of the answer.
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suppose one person in your team has two x^{2}-tiles three x-tiles and one unit tile on his desk and another person has one x^{2}-tile five x-tiles and eight unit tiles on her desk. you decide to pull all of the tiles together on one desk. what is the name for this new group of tiles?
The name for this new group of tiles will be three x² tiles, eight x tiles and nine unit tiles.
How to illustrate the information?Based on the information, it should be noted that the following can be illustrated:
Number of x² tiles = 2 + 1 = 4
Number of x tiles = 3 + 5 = 8
Number of units tiles = 1 + 8 = 9
In this case, this is appropriately illustrated as three x² tiles, eight x tiles and nine unit tiles.. This will be the new name.
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i need help! please is expression equivalent
No the value of functions are not same .
What is function in math?
A quantitative expression, rule, or law that describes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions occur widespread, and they are essential for defining physical links in the sciences.A function is a type of rule that generates one output for a single output. This is represented by the equation y=x2. Any inputs for x result in an output for y. Given that x is the input value, we would state that y is a result of x.- 5 × ( -5)⁻⁹ = -5 × 1/-5⁹ ⇒ 1/5⁸ = 1/390625
[ -5 × (-5)]⁻⁹ = [25]⁻⁹ = 1/25⁹ = 1/3814697265625
No the value of functions are not same .
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Write and equation of the line parallel to the given line that contains C
C(4,3) ; y=-2x+5
The equation of the required line is y = - 2x + 11
We need to find the equation of the line parallel to the given line y = -2x + 5 that contains C(4, 3)
Let m be the slope of the required line.
The slope of the line y = -2x + 5 is -2
We know that, the slope of the parallel lines is equal.
So, m = -2
The required line contains point C(4, 3)
Using point-slope form the equation of the line would be,
(y - y1) = m(x - x1)
y - 3 = -2(x - 4)
y - 3 = -2x + 8
y = -2x + 8 + 3
y = -2x + 11
Therefore, the equation of the required line is y = - 2x + 11
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A microwave raises the temperature of water by about 80°F in 5 minutes. Which graph has the slope that represents this rate of increase?
Since the microwave raises the temperature of water by about 80°F in 5 minutes, the graph that has the slope that represents this rate of increase is option A.
What is the temperature about?
Temperature is seen as a given unit used to stand for hotness as well as the coolness of a given object or thing, it is said to be mostly in Fahrenheit as well as Celsius.
Based on temperature, heat energy is one that tends to shift from a hotter part of a body to a colder part of the same body.
Note that:
Temperature = 80
Minutes = 5
Y = m
5m = 80
m = 80/5
m = 16
So y = 16x
Therefore, the graph that can give you the value above is graph A.
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Gina checked 20 markers. 7 of them were
working. What percent of her markers were
not working?
Step-by-step explanation:
1. find how many are not working
20 - 7 = 13
2. make this into a fraction:
13/20
3. make equivalent to x/100
do this by multiplying by 5
13/20 = 65/100
65/100 is 65% which don't work
Answer:
65%
Step-by-step explanation:
20-7=13, 13/20=0.65, 0.65*100=65 (Which leaves you with your answer)
. Find the number which is when multiplied by 15 is increase by
196?
Answer: 14 is the number
Step-by-step explanation:
The Sum of the 1st in term of an A.p is 30 while the Sum of the it'st 7 term is 56 find the: a. the common difference b.the 1st term
The common difference of the AP is 4.33 and its first term is 30.
What is the formula to calculate the nth term of an Arithmetic Sequence ?
The formula to calculate the nth term of an Arithmetic Sequence is -
a(n) = a + (n - 1)da - first term of A.P.
d - Common difference of A.P.
n - position of term
Given is the 1st term of an AP as 30 while the Sum of the its first 7 terms is 56.
We have -
[a] = 30
and -
a + (7 - 1)d = 56
30 + (6)d = 56
6d = 56 - 30
6d = 26
d = 26/6
d = 13/3
d = 4.33
and
the first term of the AP is 30.
Therefore, the common difference of the AP is 4.33 and its first term is 30.
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PLEASE HELP Which equation is equivalent to -2a + 6b = -8c + 16? A. a=-4b-10c+14 B. a=-3b+2c+8 C. a=3b+4c-8 D. a=4b-10c+14
Answer: a= 3b + 4c -8
Step-by-step explanation:
a= 3b + 4c -8
-2a + 6b = -8c + 16
-6b from the left the isolate a
-2a = -6b - 8c + 16
then divide by -2 to cancel it out
a = 3b + 4c -8
The equation is equivalent to -2a + 6b = -8c + 16 will be a= 3b + 4c -8
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
We are given the linear equation;
a= 3b + 4c -8
-2a + 6b = -8c + 16
-6b from the left the isolate a
-2a = -6b - 8c + 16
Then divide by -2 to cancel it out;
a = 3b + 4c -8
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What is the rate of change for this table?