Answer:
2
Step-by-step explanation:
Write 20*19*18*17*16*15 in the form nPr.
Answer:
15*16*17*18*19*20 I thank it is your answer
Find the total surface area of this pentagon
Answer:
Step-by-step explanation:
2(lb+bh+hl) is the formula for surface area. So,
2(54+81+54) = 2(189) which is 378.
I think the surface area is 378 square inches, or 378 in^2
Can someone help with this question?
Answer:
b
Step-by-step explanation:
Part 3: The Space Inside! Find the volume of the shipping box using the two methods and show your work: Packing cubes Using the volume formula Explain how both methods provide the same measurement of volume for the shipping box. Let's ship. You are done! Penny and her classmates thank you.
Answer:shipping box=3.75*3*3.25=36.562 cubic feet.in width we have 15 cubes,in the legnt 12 while in height 13.with a total of 2340 cubes
Step-by-step explanation:
A kite is a quadrilateral with two pairs of adjacent, congruent sides. The vertex angles are those angles in between the pairs of congruent sides. Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.
a family has two children. what is the probability that both are girls, given that at least one is a boy
Answer: The probability would be zero
Step-by-step explanation:
There are two children and one is a boy, so the probability of both being girls is a zero
A jar of gumballs contains 4 reds, 2 greens, and 6 blues. What is the probability of getting two blues in a row without replacement?
Select one:
a. 3/4
b. 1/2
c. 5/22
d. 5/11
Answer:
C
Step-by-step explanation:
Hypergeometric distribution
[tex]\frac{{6\choose2}}{{12\choose2}}=\frac{15}{66}= \frac{5}{22}[/tex]
ASAP!!!!!! SHOW WORK!!!! Thank you
Answer:
y = -6Step-by-step explanation:
If the three points are collinear, the slopes of RS and ST are same:
m(RS) = (4 - 8)/(1 + 1) = -4/2 = -2m(ST) = (y - 4)/(6 - 1) = (y - 4)/5Since the sloes are equal we have the following equation:
(y - 4)/5 = -2y - 4 = -10y = -10 + 4y = -6Slopes must be equal
slope of RS
m=4-8/1+1m=-4/2m=-2Now
Slope of ST=-2
y-4/6-1=-2y-4/5=-2y-4=-10y=-10+4y=-6The distance, y, in miles, traveled by a car in a certain amount of time, x, in hours, is shown in the graph below:
A graph titled Motion of Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 14, 28, 42, 56, 70, 84. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 42. The second straight line joins 3,42 and 4,42 and the third straight line joins ordered pair 4,42 with the ordered pair 5,56.
Which of the following best describes the motion of the car shown?
It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.
It travels for 3 hours, then stops for 1 hour, and finally travels again for 1 hour.
It travels for 3 hours, then stops for 4 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 2 hours, and finally travels again for 1 hour.
Answer:
The last choice
Step-by-step explanation:
:)
Course Activity: Sides and Angles of Congruent Triangles Part C Measure the lengths of the sides of ∆ABC and its three images and record the measurements in the table.
Answer
Step-by-step explanation:
The entire graph of the function g is shown in the figure below.
Write the domain and range of g as intervals or unions of intervals.
Step-by-step explanation:
here's the answer to your question
The water rate is $1.39 per 792 gallons of water used. What is the water bill for using 40,000 gallons of water?
Answer:
$70.2 (approximately)
Step-by-step explanation:
Cost per gallon is, $1.39/792
so, for 40,000 gallon,
$1.39×40,000/792
= $6950/99
≈ $70.2
Answered by GAUTHMATH
14) The height, h metres, of a ball projected directly upwards from the ground can be modelled by h = 56t - 71, where t is the time in seconds after it leaves the ground. a) Find the height of the ball 3.5 seconds after it leaves the ground. b) At what time will the ball strike the ground again? c) When will the ball be 49 m above the ground? Briefly explain why there are two possible answers.
Using the net below, find the surface area
of the rectangular prism.
5 cm
5 cm
2 cm
5 cm
5 cm
2 cm
2 cm
2 cm
Surface Area =
Answer:
Surface area = 90 cm²
Step-by-step explanation:
Given net of the rectangular prism shows the dimensions as,
Length = 5 cm
Width = 5 cm
Height = 2 cm
`Expression for the surface area of a rectangular prism = 2(lb + bh + hl)
Here, l = length
w = width
h = height
By substituting the values in the expression,
Surface area = 2(5×2 + 5×2 + 5×5)
= 2(10 + 10 + 25)
= 90 cm²
Answer:
Step-by-step explanation:
To find the distance AB across a river, a distance BC of 415 m is laid off on one side of the river. It is found that B = 112.2° and C = 18.3°. Find AB.
The distance AB across the river is approximately 171.4 meters
The known parameters are;
The distance BC laid off on one side of the river = 415 m
The measure of ∠B = 112.2°
The measure of angle ∠C = 18.3°
The unknown parameter;
The distance AB across the river
Strategy;
Taking the points A, B, and C, being the vertices of the triangle, ΔABC, and apply sine rule to find distance AB;
By the angle sum property, the measure of angle, ∠A = 180° - (∠B + ∠C)
∴ ∠A = 180° - (112.2° + 18.3°) = 49.5°
By sine rule, we get;
[tex]\mathbf{\dfrac{a}{sin (\alpha)} = \dfrac{b}{sin (\beta)} = \dfrac{c}{sin (\gamma)}}[/tex]
Therefore;
[tex]\mathbf {a = sin (\alpha) \times \dfrac{b}{sin (\beta)}}[/tex]
Plugging in α = AB, [tex]\alpha[/tex] = ∠C = 18.3°, b = BC = 415, β = ∠A = 49.5°, we get;
[tex]AB = sin (18.3 ^{\circ}) \times \dfrac{415}{sin (49.5^{\circ})} \approx 171.4[/tex]
The distance across the river, AB ≈ 171.4 m
Learn more about sine rule here;
https://brainly.com/question/15018190
Describe how to transform the graph of f(x) = x2 to obtain the graph of the related function g(x).
Then draw the graph of g(x).
1. g(x) = f(x + 1)
2. g(x) = f(x) - 2
Please help i also need to graph
9514 1404 393
Answer:
left 1 unitdown 2 unitsStep-by-step explanation:
The transformation g(x) = f(x -h) +k is a translation of f(x) to the right by h units and up k units.
1. h = -1, so the graph of g(x) is the graph of f(x) shifted left 1 unit. (blue)
__
2. k = -2, so the graph of g(x) is the graph of f(x) shifted down 2 units. (green)
Mr. Berber owns a $20,000 government bond that pays interest at an annual rate of 8%. Which expression below shows how many dollars he will receive as a quarterly interest payment?
Answer: (2)
Step-by-step explanation:
His yearly interest amount would be 20000(0.08).
His quarterly interest amount would be [tex]\frac{20000(0.08)}{4}[/tex], since one year has 4 quarters.
Which of the following numbers is rational? Assume that the decimal patterns continue.
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Answer:
(c) √49
(d) 2.544544...(3-digit repeat)
Step-by-step explanation:
Square roots of perfect squares are rational, as are repeating decimals.
what is the area of a triangle of base 10m and height of 8m
Answer:
40m
Step-by-step explanation:
to find the area of a triangle you must do bh/2
So you do 10 times 8 which is 80.
Then you do 80 divided by 2 which is 40.
I hope this helps!
Question 2 of 25
Which of the following is an equation of a line parallel to the equation
y = 4x + 1?
O A. y=1x-2
O B. y=-x-2
O C. y=-4x-2
O D. y = 4x - 2
DOSUBMIT
Answer:
y - 1 = 4x - 20.
The slope of the line y = 4x +1 is the coefficient of x, so the slope is 4. Parallel lines have the same slope, so the slope of the "other" line is also 4. Using the point-slope form of a line, the equation of the line in question is: y - 1 = 4(x - 5). Distributing 4, we get y - 1 = 4x - 20. i dont know correct me if im wrong
1a and b. Plz show ALL STEPS like LITERALLY ALL STEPS
Answer:
See step by step
Step-by-step explanation:
1a.
[tex] \frac{7\pi}{3} [/tex]
Coterminal Angles difference or a full revolution or 2 pi. so it standard position will be
[tex] \frac{7\pi}{3} - \frac{6\pi}{3} = \frac{\pi}{3} [/tex]
The expression will be
[tex] \frac{\pi}{3} + 2\pi \times n[/tex]
where n is the interger number of revolutions.
1b. Instead using radians, we will be using degrees.
Coterminal Angles difference will be 360 degrees. so it standard position within the unit circle will be
[tex] - 100 + 360 = 260[/tex]
The expression is
[tex] - 100 + 360 \times n[/tex]
where n is the interger number of revolutions.
Find the distance between the points (–2, –6) and (0, 5).
Answer:
5√5
Step-by-step explanation:
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 45 months and a standard deviation of 3 months. Using the Empirical Rule rule, what is the approximate percentage of cars that remain in service between 36 and 39 months
Answer:
The approximate percentage of cars that remain in service between 36 and 39 months is of 2.35%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 45 months, standard deviation of 3 months.
What is the approximate percentage of cars that remain in service between 36 and 39 months?
36 = 45 - 3(3)
39 = 45 - 2(3)
So within 2 and 3 standard deviations below the mean.
99.7 - 95 = 4.7% of the measures are between 2 and 3 standard deviations of the mean, however, this is two-tailed, considering both above and below the mean.
In this case, both 36 and 39 are below the mean, and due to the symmetry of the normal distribution, this percentage is divided by half, so 4.7/2 = 2.35.
The approximate percentage of cars that remain in service between 36 and 39 months is of 2.35%.
Convert 333 to base three.
Answer:
110100
Step-by-step explanation:
Si se duplica la base de un triángulo, ¿su área se reduce a la mitad? Justificar.
Answer:
Dado que el área de un triángulo es igual a la multiplicación de su base por su altura, si la base de un triángulo se duplica, su área se incrementará, con lo cual la afirmación es incorrecta, ya que el área no se reducirá a la mitad. Así, por ejemplo, un triángulo de base 10 y altura 15 tendrá un área de 50 (10 x 5), mientras que si su base se duplica a 20, pasará a tener un área de 100 (20 x 5), con lo cual su área también se duplicará.
4. As part of your retirement planning, you purchase an annuity that pays 4 % annual
interest compounded quarterly
a. If you make quarterly payments of $900 how much will you have saved in 5
years?
b. Instead, if you make quarterly payments of $450, how much will you have saved
in 10 years?
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Answer:
a. $19817.10
b. $21998.87
Step-by-step explanation:
The formula for the future value of an annuity with payments "A" and interest at rate r compounded quarterly for t years is ...
FV = A((1 +r/4)^(4t) -1)/(r/4)
The attachment shows this evaluated for ...
a. A = 900, r = 0.04, t = 5. FV = $19817.10
b. A = 450, r - 0.04, t = 10. FV = 21,998.87
The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is requested to send three employees who have positive indications of asbestos to a medical center for further testing. If 40% of the employees have positive indications of asbestos in their lungs, find the probability that fifteen employees must be tested in order to find three positives. (Round your answer to three decimal places.)
Answer:
0.013 = 1.3% probability that fifteen employees must be tested in order to find three positives.
Step-by-step explanation:
For each employee, there are only two possible outcomes. Either they test positive, or they do not. The probability of an employee testing positive is independent of any other employee, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
40% of the employees have positive indications of asbestos in their lungs
This means that [tex]p = 0.4[/tex]
Find the probability that fifteen employees must be tested in order to find three positives.
2 during the first 14(given by P(X = 2) when n = 14).
The 15th is positive, with 0.4 probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{14,2}.(0.4)^{2}.(0.6)^{12} = 0.0317[/tex]
0.0317*0.4 = 0.013.
0.013 = 1.3% probability that fifteen employees must be tested in order to find three positives.
Let f(x) = 2x2 + x − 3 and g(x) = x + 2.
Find (f • g)(x)
Answer:
[tex](f\cdot g)(x) = 2x^3 + 5x^2-x-6[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=2x^2+x-3\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f \cdot g)(x)[/tex]
Recall that this is equivalent to:
[tex]=f(x)\cdot g(x)[/tex]
Substitute. Hence:
[tex](f\cdot g)(x)= (2x^2+x-3)(x+2)[/tex]
Expand if desired:
[tex]\displaystyle = x(2x^2+x-3)+2(2x^2+x-3) \\ \\ = (2x^3+x^2-3x)+(4x^2+2x-6) \\ \\\ = 2x^3 + 5x^2-x-6[/tex]
Answer:
2x^3+5x^2-x-6
Step-by-step explanation:
f(x) = 2x^2 + x − 3 and g(x) = x + 2.
(f • g)(x) = (2x^2 + x − 3 ) * (x + 2)
Distribute
= (2x^2 + x − 3 )*x + (2x^2 + x − 3 )*2
= 2x^3 +x^2 -3x + 4x^2 +2x -6
Combine like terms
=2x^3+5x^2-x-6
What is the value of the digit in the hundred thousands place?
11,391,243
A. 100,000
B. 300,000
C. 90,000
D. 10,000,000
Answer:
B, 300,00
3-1st
4-10th
2-100th
1- 1000th
9-10,000th
3-100,000th
Answer:
B. 300,000
Step-by-step explanation:
What is the yintercept of the function, represented by the table of values below?
A. 9
B. 3
C. 6
D. 12
Answer:
A. 9
Step-by-step explanation:
First find the slope (m) using two given pairs of values form the table, say (1, 6) and (2, 3):
Slope (m) = change in y/change in x
Slope (m) = (3 - 6)/(2 - 1) = -3/1
Slope (m) = -3
Next, substitute (1, 6) = (x, y) and m = -3 into y = mx + b and solve for y-intercept (b).
Thus:
6 = -3(1) + b
6 = -3 + b
Add 3 to both sides
6 + 3 = -3 + b + 3
9 = b
b = 9
y-intercept = 9
