Answer:
15
Step-by-step explanation:
You have to find the total number of crayons whcih will be 21.
Then you do 21-6 ( red pencil) to get 15
15 pencil not read.
In how many ways can a
president, vice president, and
treasurer be selected for a
club if the club has 40
members?
[?] ways
Note: „Pr =
(n-r)!
n!
PLEASE HELP
Answer:
59,280
Step-by-step explanation:
the answer is base in my previous learning.. hope it helps..
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1. If the distribution is approximately normal, find the probability that there will be fewer than 69 broken pretzels in a run.
Answer:
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.
This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]
Find the probability that there will be fewer than 69 broken pretzels in a run.
This is the p-value of Z when X = 69.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69 - 73.5}{5.1}[/tex]
[tex]Z = -0.88[/tex]
[tex]Z = -0.88[/tex] has a p-value of 0.1894
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
thirty years later the washington monument was finally completed, and the angle of elevation to the top of the monument from the same marker was 70o. to the nearest foot, how many feet were added to the phase 1 structure of the washington monument?
Answer:
Congress immediately tabled its expected contribution of $200,000 to the Society, effectively halting the appropriation. During its tenure, the Know-Nothing Society added only two courses of masonry, or four feet, to the monument using rejected masonry it found on site, increasing the height of the shaft to 156 feet
Step-by-step explanation:
If 25% of a number is 50 and 35% of the same number is 70, find 10% of that number.
Answer:
10%×200=20
Step-by-step explanation:
25%×200=50
35%×200=70
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
please help im tring to pass this class
Volume of a cylinder is the area of the base x the height.
Area of base = pi x r^2 = 3.14 x 2^2 = 12.56
Volume = 12.56 x 8 = 100.48 units^3
Answer:
32 pi units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = Bh where B is the area of the base
The base is a circle
The area of a circle is given by
A = pi r^2
The radius is 2
A = pi (2)^2 = 4pi
The area of the base is 4pi
The height is 8
V = 4pi *8
V = 32 pi units^3
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
(0,9),(9,2)
Step-by-step explanation:
HELP ME WITH THIS PLEASE. THANK YOU
Answer:
I think it's 2
Step-by-step explanation:
Answer:
1/11 is correct.
Step-by-step explanation:
You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.
2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22
2/22 = 1/11
Have a nice day!
PLEASE I NEED HELP ASAP!!
Answer:
Option C
Step-by-step explanation:
System of equations have been given as,
y - 4x = 16
y = 4x + 16 ------(1)
By comparing with slope-intercept form of the linear equation,
y = mx + b
Here, m = slope of the line
b = y-intercept
Therefore, m₁ = 4
2y = 8x + 16
y = 4x + 8 -------(2)
Slope of the line m₂ = 4
m₁ = m₂
Therefore, both the lines are parallel and both will not intersect each other.
Hence, there will be no solution of the system of equations.
Option C will be the correct option.
The height of a triangle is 7 ft more than its base. If the area of the triangle is 30 ft2, what is the length of the base?
2 ft
5 ft
9 ft
12 ft
Answer:
see below
Step-by-step explanation: 5 27 7 16
area = 1/2 bh
height of a triangle is 7 ft more than its base
base = b
height = b + 7
area = 30
area = 1/2 b(h)
30 = 1/2 b(b + 7)
30 = 0.5(b²+ 7b)
30 = 1/2 b²+ 3.5b solve for b
1/2 b²+ 3.5b = 30
1/2 b²+ 3.5b - 30 = 0
b²+ 7b - 60 = 0 factor
(b +12)(b - 5) = 0 when b = -12 or 5 base length can't be negative
b = base = 5
area = 1/2 bh 1/2×2(9) = 9
area = 1/2 bh 1/2×5(12) = 60
area = 1/2 bh 1/2×9(16) = 56
area = 1/2 bh 1/2×12(19) = 114
The relationship between two quantities that increase or decrease together is called A. indirect variation B. variation C. indirect option D. direct variation E. direct option
Answer:
D. direct variation
Step-by-step explanation:
Answer:
yes it is direct variation
Step-by-step explanation:
well I'm sorry I Don't know if it's going to be step by step but my own understanding is that what ever happens on one side will affect the other side so if there is an increase in A there will be an increase in B so there's a form of equilibrium. so let's say we throw two stones A and B into a fast flowing river we expect that the water will flow so the more the velocity of the river the faster the stone will flow so as the river is flowing the stone is floating as well but an indirect variation as the river increases it's velocity the stone decreases it's movement so in direct variation as the river increases it's velocity the stone does as well. I hope this is well detailed and I answered your question , thank you
What is the measure is B? And an explanation too but if not it’s fine!
Answer:
A
Step-by-step explanation:
Two angles are complementary if their angles add up to 90
let x= angle b
35+x=90
x=55
The function f(x)=12sin(x−π4) is used to describe a water wave. The value x is the time in seconds, and f(x) is the position of the wave in feet above or below the normal water level.
On which of these intervals does f−1(x) exist?
A
[0,π]
B
[3π4,7π4]
C
[π4,5π4]
D
[0,2π]
Option C, [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex] is the correct answer such that the function, [tex]f(x)=12sin(x-4\pi)[/tex] where, [tex]x[/tex] is the time in [tex]seconds[/tex] and [tex]f(x)[/tex] is the position of the water wave in [tex]ft[/tex] above and below the normal water level.
inverse of the functionThe inverse of the function is the mirror image of the function with respect to the dependent variable.
How to determine the inverse of the function?From the figure, the interval of water wave above the normal water level is [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex].
So, the interval of the mirror image of the function with respect to the dependent variable [tex]x[/tex] is [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex].
As a result, Option C is the correct answer.
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What is the surface area of this square pyramid
18 ft
33ft
36 ft
57 ft
The surface area of this square pyramid is 33ft
Surface area of square based pyramidThe formula for calculating the surface area of the ssquare pyramid is expressed as:
TSA = Area of square + 4(area of triange)
TSA = (3*3) + 4(0.5 * 4 * 3)
TSA = 9 + 4(6)
TSA = 9 + 24
TSA = 33 square feet
Hence the surface area of this square pyramid is 33ft
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The sales manager gathered information on the numbers of sales calls made and the number of copiers sold for a random sample of sales representative. Is there a positive correlation between calls made and copiers? Test at the 0.05 level of significance. Determine the 90% prediction interval for 60 number of calls made. *
Calls,X Sold. Y
20 40
20 50
40 60
50 90
40 80
20 40
40 60
30 60
Answer:
b
Step-by-step explanation:
i have to show ALL work
Answer:
Answer:C = 8
Answer:C = 8Step-by-step explanation:
-2(4c+16)^1/4+2=-2
Move the constant to the right and change the sign
-2(4c+16)^1/4= -2-2
transform expression
[tex] - 2 \sqrt[4]{4c - 16} = - 4[/tex]
Divide each side by -2
[tex] \sqrt[4]{4c - 16 } = 2[/tex]
raise both side of the equation by power of 4
4c-16=16
move constant to the right and change the sign
4c=16+16
4c=32
THEN DIVIDE BOTH SIDES BY 4
C = 8
Choose which method to use: Law of Sines or Use Law of Cosines.
Answer:
we have
b=3mm
c=5mm
a=?
angle =62°
By using cosine rule.
a²=b²+c²-2bc cos angle
a²=3²+5²-2×3×5 cos 62°
a²=19.92
a=√19.92
a=4.5
I had choose cosine rule.
To the nearest tenth, what is the area
of the figure below? Use 3.14 for it.
What is the solution to A=7x+40
9514 1404 393
Answer:
x = (A -40)/7
Step-by-step explanation:
Maybe you want to solve for x.
A = 7x +40 . . . . . given
A -40 = 7x . . . . . subtract 40
(A -40)/7 = x . . . divide by 7
The value of x will be ...
x = (A -40)/7
The angle of depression from a person on top of a cliff to a point 34 feet from the base of the cliff is 30°. what is the height of the cliff?
About 0.34 of the length of a cat is its tail. Write this decimal as a percent.
A car travels at the rate of 60 miles per hour and averages 30 miles per gallon of gasoline. Which of the following is the best
approximation of the number of gallons of gasoline that will be used in 8 hours of traveling at 60 miles per hour?
0.06 gallons
16 gallons
3.75 gallons
7.5 gallons
480 gallons
If we attempt to create a square using the tiles that represent the algebraic expression x^2 +bx,
1. How many x-tiles would you add to the length of the x-square tile?
2. How many unit tiles would you need to complete the square?
I dont understand the question
20 POINT!!
Can someone help me I don’t understand it at all
Answer:
second
Step-by-step explanation:
substitute y=6 and x=1 in the given relations and see if works
y=2x will be 6 = 2*1 false
y=x+5 will be 6 = 1+5 true
because this is true check all the other y and x and if all true is good
7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good
y=2x+1 will be 6=2*1+1 false
y=3x+1 will be 6=3*1+1 false
A quiz consists of six multiple choice questions. Each question has four choices. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most four questions correctly?
Answer:
0.9945 = 99.45% probability that the student answers at most four questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student answers correctly, or he/she does not. The probability of the student answering a question correctly is independent of any other question. This 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.
A quiz consists of six multiple choice questions.
This means that [tex]n = 6[/tex]
Each question has four choices. Student guesses randomly.
This means that [tex]p = \frac{1}{4}[/tex]
What is the probability that the student answers at most four questions correctly?
This is:
[tex]P(X \leq 4) = 1 - P(X > 4)[/tex]
In which
[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.25)^{5}.(0.75)^{1} = 0.0053[/tex]
[tex]P(X = 6) = C_{6,6}.(0.25)^{6}.(0.75)^{0} = 0.0002[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.0053 + 0.0002 = 0.0055[/tex]
[tex]P(X \leq 4) = 1 - P(X > 4) = 1 - 0.0055 = 0.9945[/tex]
0.9945 = 99.45% probability that the student answers at most four questions correctly
If g(x)=4vx then g(45)
is
Answer:
(2) 12√5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
g(x) = 4√x
g(45) is x = 45 for function g(x)
Step 2: Evaluate
Substitute in x [Function g(x)]: g(45) = 4√45Simplify: g(45) = 4(3√5)Multiply: g(45) = 12√5Gary has 4 pencils 12 markers and 24 crayons, what is the ratio of pencils?
Answer:
1:10 [simplified from 4:40)
Step-by-step explanation:
4 pencils+ 12 marker+ 24 crayons=40
4 pencils: 40 items
1 pencil : 10 items
i dunno if this was right but there you gooo lol</3
can anyone help with this problem?
Answer:
The numerator factors to
[tex](x + 2)(x - 1)[/tex]
The denomenator factors to
[tex](x + 4)(x - 1)[/tex]
A sewing class has 185 yards of fabric to make quilts. Each quilt requires 8 yards of fabric. How much fabric will remain after all the quilts are made?
Emma has $x in her bank account. Jonah has $40 more than twice as much as Emma in his bank
account. Together they have $760. Write and solve an equation to determine how much money Emma
has in her bank account.
Answer:
$240
Step-by-step explanation:
We can set this up by making an equation: x + 2x + 40 = 760.
Now we can solve.
x + 2x + 40 = 760 (combine like terms (x))
3x + 40 - 40 = 760 - 40 (subtract 40 from both sides)
3x / 3 = 720 / 3 (divide by 3 to isolate x)
x = 240
Because Emma has $x, she has $240 in her bank account.
You can check this by substituting this value for x in our original equation.
Evaluate: 9m+7n if m=-7 and n=4
Answer: look at the picture
Step-by-step explanation: Hope this help :D
For m = -7, n = 4, 9m+7n = -35
What is evaluating an algebraic expression?
"To solve or evaluate an expression is nothing but substitute the given value of the variable in the expression and then simplify the expression using the order of mathematical operations."
Given expression:9m+7n
We need to solve this expression for m = -7 and n = 4.
Substituting m = -7, n=4 in given expression,
⇒ 9m+7n
⇒ 9(-7) + 7(4)
⇒ -63 + 28
⇒ -35
Therefore, for m = -7, n = 4, 9m+7n = -35
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