What is the volume of the prism?
10 cubic inches
20 cubic inches
40 cubic inches
80 cubic inches
Answer:
20 cubic inches
Step-by-step explanation:
\(1 * 4 * 5 = 20\)
In circle � V, � � = 6 VW=6 and m ∠ � � � = 5 0 ∘ ∠WVX=50 ∘ . Find the length of � � ⌢ WX ⌢ . Express your answer as a fraction times � π.
The length of arc WX is (10/3)π, expressed as a fraction times π.
To find the length of the arc WX, we need to determine the measure of the central angle corresponding to arc WX. Since ∠WVX is an inscribed angle, its measure is equal to half the measure of its intercepted arc WX. Therefore, the measure of arc WX is 2 × 50° = 100°.
The length of an arc in a circle is given by the formula:
Arc Length = (θ/360°) × 2πr
Where θ is the measure of the central angle in degrees and r is the radius of the circle.
Given that the radius of the circle is 6, we can substitute the values into the formula:
Arc Length = (100°/360°) × 2π × 6
Simplifying:
Arc Length = (5/18) ×2π × 6
Arc Length = (10/3)π
Therefore, the length of arc WX is (10/3)π, expressed as a fraction times π.
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Use the formula F = 9/5 C+32 to convert -30°C to degrees Fahrenheit.
The temperature is °F. (Type an integer or a fraction.)
Answer:
F = -22°F
Step-by-step explanation:
Use the9 given equation to convert Celsius to Fahrenheit.
F = 9/5 C + 32
They want to know what -30°C is in Fahrenheit.
Fill in -30 for C in the equation.
F = 9/5 (-30) + 32
Multiply first, before adding. In order to multiply the fraction × the -30, times
-30 ×9 and then divide by 5. (Or for easier mental math, times -30÷5 and then times that answer (-6) times 9.)
F = -54 + 32
F = -22
This means that -30°C is the same as -22°F.
The following random sample was selected from a normal distribution:
4 17 19 2 20 9 19 6 19 9
(a) Construct a 90% confidence interval for the population mean
μ. ≤ μ ≤
(b) Construct a 95% confidence interval for the population mean
μ. ≤ μ ≤
Answer:
20<19=19=19<17<16<9<4<2
brainliest, 100 points, and multiple choice!!!!!!
The coordinates of the vertices of its image include the following:
C. A' (-3, 2).
B' (0, 2).
C' (0, 4).
What is a rotation?In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise to the vertices of triangle ABC, the coordinates of the vertices of the image are as follows:
(x, y) → (-(y - b) + a, (x - a) + b)
A (2, 5) → (-(5 - 1) + 1, (2 - 1) + 1) = (-(4) + 1, (1 + 1) = A' (-3, 2).
B (2, 2) → (-(2 - 1) + 1, (2 - 1) + 1) = (-(1) + 1, (1 + 1) = B' (0, 2).
C (4, 2) → (-(2 - 1) + 1, (4 - 1) + 1) = (-(1) + 1, (3 + 1) = C' (0, 4).
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How do you work x+1-2=4 and x-1=2
Answer:
Simplify x+1-2x+1−2 to x-1x−1.
x-1=4
x−1=4
2 Add 11 to both sides.
x=4+1
x=4+1
3 Simplify 4+14+1 to 55.
x=5
x=5
Add 11 to both sides.
x=2+1
x=2+1
2 Simplify 2+12+1 to 33.
x=3
x=3
Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth
Answer:
Step-by-step explanation:
Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth
Exponential growth function
= y = a(1 + r)^t
Solving for y
y = 200(1 + 0.092)⁷
willa can type 900 words in a quarter of an hour. how many words per minute can willa type?
Answer:
Willa can type 60 words per minute
Step-by-step explanation:
60 minutes = 1 hour
1/4 hour = 1/4 × 60 minutes
= 60/4 minutes
= 15 minutes
Quarter of an hour= 15 minutes
Willa can type 900 words in 15 minutes
how many words per minute can willa type?
Words per minute= Total words in 15 minutes / 15 minutes
= 900 / 15
= 60 words per minute
Willa can type 60 words per minute
the ratio of milk and water in a tank quantity 3:2 if molk is 600 gm the find tje quantity of water
Answer:
220 should be the answer.
Step-by-step explanation:
A debate team consists of five freshmen and four sophomores. (Everyone is distinguishable.) How many ways can they stand in line, so that at least two of the freshmen are standing next to each other
Using the arrangements formula, it is found that they can stand in the line in 80,640 ways.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
\(A_n = n!\)
In this problem, we have that:
The 2 freshmen are in 2! positions, in any of the 8 positions from 1 to 8.The other 7 students are arranged in 7! positions.Hence the number of ways in which they can be lined up is given by:
N = 2! x 8 x 7! = 80,640.
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b. calculate the mean and standard deviation of the number of people with blood type a-positive in 100 randomly selected us people using the binomial model. use r or a calculator.
The mean and standard deviation of the number of people with blood type a-positive in 100 randomly selected is μ=85, σ=3.5707
What is meant by standard deviation?The standard deviation is a statistic that measures the amount of variation or dispersion of a group of values.
Standard deviation is usually abbreviated SD and is most commonly represented in mathematical texts and equations by the lower case Greek letter (sigma) for population standard deviation or the Latin letter s for sample standard deviation.
A low standard deviation indicates that the values are close to the mean of the set (also known as the expected value), whereas a high standard deviation indicates that the values are spread out over a broader range.
Given, The population proportion of success is p=0.85
And also given that the sample size is n=100
b) The population mean is:
μ=np
μ=100(0.85)
μ=85
Therefore, mean=85
And the population standard deviation is:
σ=√np(1-p)
σ=√100(0.85)(1-0.85)
σ=3.5707
Therefore, standard deviation=3.5707
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The complete question is:
" Rh - positive blood appears in 85% of the population in the USA. a) Verify that it's possible to use the normal approximation to binomial distribution if a sample size is 100 randomly selected people. b) Find the mean and standard deviation of the normal distribution."
The objective of __________ research is to gather preliminary information that will help define the problem and suggest hypotheses.
The objective of Exploratory Research research is to gather preliminary information that will help define the problem and suggest hypotheses.
Exploratory Research is a methodology approach that explores research
question that have not previously been studied in depth.
The nature of experimental studies is generally frequently qualitative. However, an investigation with a big sample size might also be quantitative. Due to its open-mindedness and flexibility, it is additionally commonly referred to as interpretivism or a grounded theory method.
It is commonly employed when the subject you're examining is new, or perhaps the data collection method is challenging in certain way.
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if p(x)= 2x^2 -4x and q(c) = x-3, what is (p•q)(x)
Answer:
2x^3 - 10x^2 +12x
Step-by-step explanation:
p(x)= 2x^2 -4x
q(x) = x-3
(p•q)(x) = (2x^2 -4x) * ( x-3)
FOIL
first 2x^2 *x = 2x^3
outer 2x^2 *-3 = -6x^2
inner -4x *x = -4x^2
last -4x*-3 = 12x
Add together
2x^3 -6x^2 -4x^2 +12x
Combine like terms
2x^3 - 10x^2 +12x
Answer:
(p•q)(x) = 2x² - 16x + 30Step-by-step explanation:
p(x) =2x² - 4x
q(x) = x - 3
In order to find (p•q)(x) substitute q(x) into p(x) that's replace every x in p(x) by q(x)
That's
(p•q)(x) = 2( x - 3)² - 4( x - 3)
Expand the terms
That's
(p•q)(x) = 2( x² - 6x + 9) - 4x + 12
= 2x² - 12x + 18 - 4x + 12
Group like terms
(p•q)(x) = 2x² - 12x - 4x + 18 + 12
Simplify
We have the final answer as
(p•q)(x) = 2x² - 16x + 30
Hope this helps you
2) Janelle is making crumb cake. The recipe makes three cakes, but she
only wants one, so she will only use one-third of the ingredients. If the
recipe calls for 1 cups of sugar, how much sugar will Jancolle need to
make one-third of the recipe?
Answer:
1.5 cups per cup. cups/cake
6 cups/ 4 cakes
= 1.5 cups per cake
Step-by-step explanation:
hope I help I ma a noob so can I have brainliest pls
Answer:
Janelle will need 1/3 cups of sugar to make 1 cake.Step-by-step explanation:
To answer this question, I am going to multiply the total cups of sugar said in recipe by 1/3. This will tell me how much sugar is required for 1/3 of recipe.
=> 1 x 1/3 => 1/3 cups of sugarHence, Janelle will need 1/3 cups of sugar to make 1 cake.
Hoped this helped.
\(BrainiacUser1357\)
Fill in the blank to complete the square: 22 + 8x+_
The number to complete the square is
type your answer...
Answer:
7
Step-by-step explanation:
mr. brown just fenced in an area for his dog. he used exactly 36 feet of fencing for the rectangular shaped enclosure. if the length of the enclosure is 11 feet, what is its width? the formula for the perimeter of a rectangle is p
The width of the enclosure is 7 feet.
The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length and W is the width. Since the length of the enclosure is given as 11 feet and the total length of fencing used is 36 feet,
we can set up an equation:
P = 2L + 2W = 36
Substituting the given value of L, we have:
2(11) + 2W = 36
Simplifying the left side, we get:
22 + 2W = 36
Subtracting 22 from both sides, we get:
2W = 14
Dividing both sides by 2, we get:
W = 7
hence, the width of the enclosure is 7 feet.
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d=60 miles and v=15 miles per hour solve d=vt then substitute values
T=60 hours
T=15 hours
T=600 hours
T=4 hours
Answer:
ummmmmmmmmmmmmmmmmmm t=4
Kendra put up 50 ft of fencing between her yard and her neighbors. If the fencing costs $13 a foot, she paid $ for the fencing.
answer: $650
To find how much Kendra paid per foot, we can divide the total cost of the fencing by the length of the fencing.
The length of the fencing is given as 50 feet.
The total cost of the fencing can be found by multiplying the cost per foot by the length of the fencing:
Total cost = Cost per foot x Length of fencing Total cost = $13/ft x 50 ft Total cost = $650
Therefore, Kendra paid a total of $650 for 50 feet of fencing. To find how much she paid per foot, we can divide the total cost by the length of the fencing:
Cost per foot = Total cost / Length of fencing Cost per foot = $650 / 50 ft Cost per foot = $13/ft
So Kendra paid $13 per foot of fencing.
Simplify the expression 2/3+1/2(8+3 1/4)
Answer:
Step-by-step explanation:
2 + 1 ( 8 + 3 * 1/4 )
ـــــــــــــــ
3 + 2
=
2*2 + 1*3
ـــــــــــــــ
3*2 + 2*3
1
1 ــــــــــ
6
8 + 3 * 1/4
3 * 1
1 * 4
=
3/4
8*4 + 3
1*4 + 4
32 + 3
4 + 4
3
8 ـــــــــ
4
1 1/6 * 8 3/4
THE ANSWER
5
10 ـــــــ
24
Someone help!! I need this done fast!!
Hooke's law states that the length that a spring is stretched is proportional to the applied force. A pan
hangs from a 50 cm spring. When a 10 kg mass is placed in the pan, It stretches the spring 6 cm.
5. Write a function rule l(w) that models the length of the spring based on
the mass of the object in the pan.
6. What is the mass of an object in the pan if the spring is stretched to a
length of 65 cm?
Hooke's Law is a principle in physics that states that the force required to extend or compress a spring by some distance is proportional to that distance. In other words, the more you stretch or compress a spring, the more force it will take, and the proportionality constant between force and distance is called the spring constant.
To find the constant k, we can use the given information that when the mass is 10 kg, the spring stretches 6 cm:
l(10) = k(10) + b
6 = 10k + b
To find the constant b, we can use the given information that when the mass is 0 kg, the spring stretches 50 cm:
l(0) = k(0) + b
50 = 0 + b
Substituting the value of b into the equation for l(10), we get:
6 = 10k + 50
-44 = 10k
k = -4.4
Therefore, the function rule is:
l(w) = (-4.4)w + 50
To find the mass of an object in the pan if the spring is stretched to a length of 65 cm, we can substitute l = 65 into the equation for l(w):
65 = (-4.4)w + 50
15 = (-4.4)w
w = 15/(-4.4)
w = 3.409090909090909
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HS Algebra
7. What is the solution of the system of equations?
y= -3X + 8
y= -5x - 2
Answer:y=-5x-2
Step-by-step explanation:
Answer:
x=5 y= -7
Step-by-step explanation:
y= -3x +8
-(y= -5x -2)
=> y=-3x+8
-y=5x+2
=> 0=2x+10
=> x=5
=>y=-3(5)+8
=> y= -7
the hcf of 90 and x is 18. the lcm of 90 and x is 540. find the value of x.
The value of x is 108.
What is HCF?The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have been given that the HCF of 90 and x is 18.
And the LCM of 90 and x is 540.
We have to determine the value of x.
Since the product of two numbers equals the product of their HCF and LCM.
So 90 × x= HCF × LCM
Substitute the values of given data,
⇒ 90×x = 18×540
⇒ 90×x = 9720
⇒ x = 9720/90
⇒ x = 108
Hence, the value of x is 108.
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okay so my teacher gave me this question "5=-3+y" can someone help me under stand it??
Answer:
5=-3+y
inverse property. -3 + 3 = 0 so we add 3 to both sides to cancel out the -3 to ISOLATE the y.
5 = -3 + y
-3 + 3
-3 + 3 = 0
5+3 = 8
8 = y.
y = 8 basically. I hope that helped.
Step-by-step explanation:
Answer this question for me ASAP PLEASE. Please show all work.
9514 1404 393
Answer:
acute scalene triangle
Step-by-step explanation:
The largest angle is acute, and all sides are different lengths. The triangle is an acute scalene triangle.
____
The magnitudes of the coordinate differences are ...
WX = (7, 5), XY = (2, 7), WY = (9, 2)
The two sides that are closest in length are ...
WX = √(49+25) = √74
WY = √(81 +4) = √85
Obviously, these are different lengths.
You can get a clue by comparing the numbers whose squares you are adding:
7^2 +5^2 > 7^2 +2^2 . . . . . WX > XY
9^2 +2^2 > 7^2 +2^2 . . . . WY > XY
so, the only question is relation between WX and WY. We note that the length of WX is less than one of the coordinate differences of WY, so we know WY is the longest. (√74 < 9)
We can tell from the graph that angle X (opposite longest side WY) is an acute angle, so the triangle is acute.
pa help po pls ASAP plssss
On A type Fa,La,Do on B Type Mi,So,Ti
HELP. How many solutions does this graph indicate for the system of conic
sections?
Answer:
2
Step-by-step explanation:
there are two points where it touches
you are given the following discrete pdf (with a few probabilities missing). x 3 4 5 6 7 8 9 p ( x = x ) 0.08 0.15 0.15 0.06 Find P(X>5)
The discrete probability distribution of P(X> 5) is 0.62
What is Discrete Probability Distribution?A discrete probability distribution and a continuous probability distribution are two types of probability distributions that define discrete and continuous random variables respectively. A probability distribution can be defined as a function that describes all possible values of a random variable as well as the associated probabilities.
The find P(X > 5), we need to sum the probabilities of all the values of X that are greater than 5.
To find the missing probabilities, we know that the sum of all probabilities must equal 1. So, we can set up an equation:
0.08 + 0.15 + 0.15 + 0.15 + 0.06 + 0.?? + 0.?? = 1
Solving for the missing probabilities, we get:
0.08 + 0.15 + 0.15 + 0.15 + 0.06 + 0.24 + 0.17 = 1
So, P(X = 8) = 0.24 and P(X = 9) = 0.17
Now, we can sum the probabilities of all values of X that are greater than 5:
P(X > 5) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)
P(X > 5) = 0.15 + 0.06 + 0.24 + 0.17
P(X > 5) = 0.62
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an inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 8 cm, and the height is 14 cm. find the rate at which the water level is rising when the water level is 6 cm.
The rate at which the water level is rising when the water level is 6 cm is approximately 2.67 cm/s. if an inverted pyramid is filled with water at a constant rate of 55 cubic centimeters per second, the top of pyramid is in square shape with length of 8 cm and height of 14 cm.
Let's call this rate "r".
Volume of pyramid = (1/3) * base area * height
Since the pyramid has a square base, the base area is given by
Base area = (side length)^2
Substituting the given values
Base area = (8 cm)^2 = 64 cm^2
Height = 14 cm
V = (1/3) * 64 cm^2 * 14 cm = 298.67 cm^3
We know that the water is being added to the pyramid at a constant rate of 55 cm^3/s. Therefore, the rate at which the volume is increasing is
dV/dt = 55 cm^3/s
We also know that the volume of water in the pyramid at any given time is given by
V_water = (1/3) * base area * h_water
where h_water is the height of the water at that time.
To find the rate at which the water level is rising (r), we need to find dh_water/dt. We can do this by taking the derivative of both sides of the equation for V_water with respect to time
dV_water/dt = (1/3) * base area * dh_water/dt
Substituting the known values
dV_water/dt = (1/3) * (8 cm)^2 * dh_water/dt
dV_water/dt = (64/3) cm^2 * dh_water/dt
dh_water/dt = 3 * dV_water/dt / 64
dh_water/dt = 3 * 55 cm^3/s / 64 = 2.67 cm/s
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create a matlab function called myleftright which takes four argument in the form myleftcheck(f, a, b, tol). here f is a function handle, a and b are real numbers with a < b, and tol is a positive number. the matlab function should calculate the left sums and right sums for n = 1,2... subintervals until the difference between the two is less than tol. then it should return the number of subintervals required
The output of the MATLAB function is value = 12; taylor_val = 12, n = 2; n is the required order.
syms x % defining independent variable x
f= (x) x*x+x; % defining input function
tol=0.1; % defining toleration
a=2; % defining center/expansion point
b=3; % defining calculation point
n=1; % initializing the order of taylor polynomial
value=f(b); % value of original function at point b
taylor_val=inf; % initializing value of taylor polynomial function with infinity
% defining loop to reduce error below toleration point
while(abs(value-taylor_val)>tol) % defining condition to calculate error above toleration to continue looping
Taylor = taylor(f,x,'Order',n+1,'ExpansionPoint',a); % calculating taylor polynomial of order n at expansionpoint a
taylor_val=subs(Taylor,x,b); % calculating taylor polynomial value at point b
n=n+1; % increasing order by 1
end
n=n-1; % reducing order by 1 to get correct order
display(value)% displaying value of original function at point b
display(taylor_val) % displaying value of taylor polynomial function at point b
display(n) % displaying required order
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Market research information of 50 customers shop at a local drug store. The store is interested in the customers buying preferences of toothpaste. Assume that this data represents the population.
a. What is the population mean and standard deviation for the proportion of customers who use Crest toothpaste?
The population mean and standard deviation for the proportion of customers who use Crest toothpaste is n/50 and 0
The given information regarding the data of Market research of 50 customers shopping at a local drug store can be represented as the population. We are required to find out the population mean and standard deviation for the proportion of customers who use Crest toothpaste.
How to calculate the population mean and standard deviation?
The population mean is the average value of the data in the population. The formula for the population mean is:Mean = (Sum of all the values in the population) / (Total number of values in the population)The population standard deviation measures the variation in the data of the population. The formula for the population standard deviation is:standard deviation = √(∑(X - µ)² / N)Here, X is the value of each observation, µ is the population mean, and N is the total number of observations in the population.So, to find the population mean and standard deviation for the proportion of customers who use Crest toothpaste, we need to first identify the number of customers who use Crest toothpaste from the given data. Let us assume that n out of 50 customers use Crest toothpaste. Then, the proportion of customers who use Crest toothpaste is:n / 50We can find the population mean of the proportion of customers who use Crest toothpaste as follows:population mean = (Sum of all the values in the population) / (Total number of values in the population) = (n / 50)The population standard deviation of the proportion of customers who use Crest toothpaste can be calculated using the formula as follows:Standard deviation = √(∑(X - µ)² / N) = √((n / 50 - n / 50)² / 50) = 0
Therefore, the population mean for the proportion of customers who use Crest toothpaste is n / 50 and the population standard deviation is 0.
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Mean and standard deviation for the proportion of customers who use Crest toothpaste are 2/5 and 0.069 respectively.
Market research information of 50 customers shop at a local drug store. The store is interested in the customers buying preferences of toothpaste.
Assume that this data represents the population.
Meaning of the terms.
Mean is defined as the average of a set of numbers.
Standard deviation is the measure of the amount of variation or dispersion of a set of values from its mean. It is a measure of the spread of data.
A population is a complete set of observations.
It is a set of all units that have some common characteristics.
In order to find the population mean and standard deviation for the proportion of customers who use Crest toothpaste, we need to follow the given steps:
Step 1: Find out the total number of customers who use Crest toothpaste.
We do not have information about how many customers out of 50 use Crest toothpaste.
Let's assume that out of 50, 20 customers use Crest toothpaste.
Step 2: Find out the proportion of customers who use Crest toothpaste.
Proportion of customers using
Crest toothpaste = Number of customers using Crest toothpaste / Total number of customers
= 20/50
= 2/5
Step 3: Find the mean of the proportion.
Mean of the proportion= Sum of the proportion / Total number of customers
= (2/5) * 50 / 50
= 2/5
Step 4: Find the standard deviation of the proportion.
Standard deviation= sqrt [(p * q) / n]
Where p= proportion of success
= 2/5
q= proportion of failure
= 1 - p
= 1 - 2/5
= 3/5
n= sample size
= 50
Standard deviation= sqrt [(2/5 * 3/5) / 50]
= sqrt (6/1250)
= sqrt (0.0048)
= 0.069
Step 5: Write the final answer.
The population mean for the proportion of customers who use Crest toothpaste is 2/5, and the standard deviation is 0.069.
Hence, Population mean and standard deviation for the proportion of customers who use Crest toothpaste are 2/5 and 0.069 respectively.
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