Answer:
He has 3.25 ([tex]3\frac{1}{4}[/tex]) cupcakes left
Step-by-step explanation:
Stephen starts with 4 cupcakes
If he eats [tex]\frac{3}{4}[/tex] of 1 cupcake, he will have [tex]\frac{1}{4}[/tex] of said cupcake left
[tex]1-\frac{3}{4} =\frac{1}{4}[/tex]
Since he has 3 other cupcakes, we will add the remaining [tex]\frac{1}{4}[/tex] of the other cupcake to the total.
[tex]3+\frac{1}{4} =3\frac{1}{4}[/tex]
Hope this helped!
The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10 inches) and the standard deviation is 3 inches.
Use the table to estimate the probability that a randomly -selected male is between 67 and 45 inches tall. Express your answer as a decimal.
Using the normal distribution, it is found that the probability is 0.16.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively, [tex]\mu = 70, \sigma = 3[/tex].
The proportion of students between 45 and 67 inches is the p-value of Z when X = 67 subtracted by the p-value of Z when X = 45, hence:
X = 67:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{67 - 70}{3}[/tex]
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 70}{3}[/tex]
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at https://brainly.com/question/24663213
B^2-6b+9 b=2 evaluate the expression
Answer:
the answer is 5 :)
Step-by-step explanation:
B^2-6b+9 b=2
2^2-6(2)+9
8-6(2)+9
8-12+9
-4 + 9
=5
A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 meters, how tall will the mountain be in 4 millennia?
if necessary, round your answer to the nearest whole number.
Answer: 1,393 meters tall
Step-by-step explanation:
Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.
y
= a(1–r)t
y
= 1,710(1–0.05)4 Plug in values
y
= 1,710(0.95)4 Subtract
y
= 1,710(0.81450…) Simplify
y
= 1,392.80568… Multiply
Round to the nearest whole number.
1,392.80568… → 1,393
To the nearest whole number, the mountain will be 1,393 meters tall.
Analyze the diagram below and answer the question that follows.
In the triangle above, what is the measure of ∠A?
A. m∠A = 30°
B. m∠A = 45°
C. m∠A = 60°
D. cannot be determined
Answer:
B
Step-by-step explanation:
sames sides same angle
180=90+2x
180-90=2x
90=2x
x=45
Factor completely 2x2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5).
The factor the given polynomial are 2,(x+4),(x-5).
We have given that the equation,
[tex]2x^2 -2x -40[/tex]
What is the meaning factor?Factoring a polynomial is expressing the polynomial as a product of two or more factors.
We can factor out a 2.
[tex]2(x^2 - x - 20)[/tex]
Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].
[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]
[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]
Therefore, the factor the given polynomial are 2,(x+4),(x-5).
To learn more about the factor visit:
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Will mark brainlist⭐️⭐️
What is the greatest common factor of 12 and 36?
2
4
06
12
Answer:
12
Step-by-step explanation:
have a good day n ily :)
Evaluate the expression below for x = 2, y=-3, and z=-1.
x2 z2 - y2(x+z)
A. -23
B. -5
C. 13
D. 27
Answer:
It should be B
Step-by-step explanation:
2 2 -1 2 - -3 2 (2+-1)
1. Always do what's in parentheses
so we know that 1 is a negative and 2 is bigger than that number so you would just subtract normally.
2 2 -1 2 - -3 2 -1
Then get all exponents done.
4 -1 - 9-1
3-9-1
-6-1
Which should give u -5
Choose 3 values that would make this inequality true. 8n + 4 ≤ 28
Choices:3,6,13,2,5,14,1
Answer:
1,2,3
Step-by-step explanation:
1*8=8+4+12<28
2*8=16+4=20<28
3*8=24+4=28=28
Find the length of the darkened arc. leave your answer in terms of
Answer:
a
Step-by-step explanation:
you can split nine into three
Answer:
The answer is A.
Step-by-step explanation:
You gotta split 9 into 3
What are the zeros of the function y=6x^2-11x+3
The function f(x)=x^2 is graphed on the coordinate grid.
Use the Parabola tool to graph g(x).
g(x)=3x^2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
other points:
x y
-2 12
-1 3
0 0
1 3
2 12
Let's see
g(x)=3x^2Take some cordinates
(0,0)(1,3)(-1,3)(2,12)(-2,12)Graph attached
The perimeter of a rectangle is 84 inches. The width of the rectangle is 12 inches. What is the length of the rectangle?
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! A local grocery store released the following statistics on the average volume of products sold per month in its two branches over the past six months.
Answer:
a. House hold laundry
b. Beverages
c. Snacks
Step-by-step explanation:
Do mark brainliest.
#a
For branch A
Household laundryFor branch B
Snacks#b
For branch A
snacksFor branch B
Canned goods#c
Branch A
20+25+15+28+20108Branch B
20+18+30+23+20111Branch B performed better
Hall makes 2 free throws for every 9 attempts. How many free throws can you expect hall to make if he shoots 45 times?
Answer:
10 free throws
Step-by-step explanation:
2/9 = ?/45
You can multiply 2 by 5 since multiplying 9 by 5 gives you 45
2x5=10
10/14
Hope this helps :)
ANY MATH EXPERTS PLEASE HELP ASAP I WILL GIVE BRAINLIEST PLEASE HELP
Step-by-step explanation:
i answered this one already as well.
Which of the following is most likely the next step in the series? 06 O A. OB. ОС. OD.
I need answers asap! | Some blocks are stacked as shown. The face of each block is a square and each block represents one cubic unit, what is the surface area of the figure formed by the blocks?
A. 30 square units
B. 28 square units
C. 24 square units
D. 21 square units
Answer:
28
Step-by-step explanation:
I need 3 1/2 cups of flour to make a birthday cake I only have 1 1/3 cups. How much flour do I still need?
Answer:
2 1/6 cups of flour
Step-by-step explanation:
1. 3 1/2 - 1 1/3
2. = 3 3/6 - 1 2/6
3. = 2 1/6
HELLPP
The rectangle shown is to be dilated by a scale factor of 3.5.
(a) Calculate the length of each side of the dilated image. Show your calculations for each side length.
(b) Draw the new image and label it
A B D C . (It does not have to be to scale)
Answer:
Answer:
long side/length is 63 cm and short side/height is 28 cm
Step-by-step explanation:
18 x 3.5 and 8 x 3.5
To dilate means to grow so you grow the side by 3.5
What is the difference between a factor of a number and a multiple of a number? use the number 25 has an example
Answer:
factor: a submultiple; an integer value that gives an integer quotient when the number is divided by it.multiple: the product of the number and another integerStep-by-step explanation:
FactorsA set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:
f1 × f2 × f3 × ... = N
Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.
When N = 25, the prime factors are {5, 5}. That is ...
5×5 = 25
__
DivisorsA "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.
Divisors of N = 25 include 1, 5, and 25. There will be an odd number of integer divisors (as here) if the number N is a perfect square.
__
MultiplesFor an integer k, the value k×N is called a multiple of N, often, the k-th multiple of N.
Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.
__
Another example
When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....
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In my dreams, the price of gasoline fell from $3.85 to $1.54. What was the percent decrease?
Answer:
60%
Step-by-step explanation:
Formula:
Percentage decrease = (amount of decrease)/(original price)
✪ Solve ✪
3.85 - 1.54/3.85 x 100
2.31/3.85 x 100 = 60%
Hence, Percent decrease is 60%
~Lenvy
What is the mean and median
of these data:2,5,9, 11, 19
Answer:
mean = 9.2
median = 9
Step-by-step explanation:
mean = sum of data / number of data
mean = 2 + 5 + 9 + 11 + 19 / 5
= 46 / 5
= 9.2
median = middle number
= 9
-x - 3y = 6, 2x + 3 = -8 equivalent equation and solution
Answer:
x = -11/2 , y = -1/6
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}-x-3y=6\\ 2x+3=-8\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=-\frac{11}{2}[/tex]
[tex]\begin{bmatrix}-\left(-\frac{11}{2}\right)-3y=6\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}\frac{11}{2}-3y=6\end{bmatrix}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-\frac{11}{2},\:y=-\frac{1}{6}[/tex]
Hence, x = -11/2 , y = 1/6
~Learn with Lenvy~
This is getting more difficult!
The equation [tex]y = x^2 - 8x + 3[/tex] is an illustration of a quadratic equation
The vertex of the quadratic equation [tex]y = x^2 - 8x + 3[/tex] is (4,-13)
How to determine the vertex?The equation is given as:-
[tex]y = x^2 - 8x + 3[/tex]
A quadratic equation is represented as:
[tex]y = ax^2 + bx + c[/tex]
By comparison, we have:
a = 1; b = -8; c = 3
The x-coordinate of the vertex is:
[tex]x = -\frac b{2a}[/tex]
So, we have:
[tex]x = \frac 8{2*1}[/tex]
[tex]x = 4[/tex]
Substitute 4 for y in [tex]y = x^2 - 8x + 3[/tex]
[tex]y = 4^2 - 8 * 4 + 3[/tex]
[tex]y = -13[/tex]
When x = 2 and 3, we have:
[tex]y = 2^2 - 8 * 2 + 3 = -9[/tex]
[tex]y = 3^2 - 8 * 3 + 3 = -12[/tex]
When x = 5 and 6, we have:
[tex]y = 5^2 - 8 * 5 + 3 = -12[/tex]
[tex]y = 6^2 - 8 * 6 + 3 = -9[/tex]
So, the table of values is:
x y
2 -9
3 -12
4 -13
5 -12
6 -9
Read more about quadratic functions at:
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help help help help HELP
car is travelling faster
22 - 18 = 4 meter per second
hope it helps...!!!
Write an equivalent expression to
(x+7)+3y
Answer:
2x+14+6y
Step-by-step explanation:
HELP ASAP
10. A store is selling its display furniture at a discount of 35%. How much would be paid for
a chair regularly selling for $195.95 if sales tax is 8%?
Y=5x+6; x=-2 find the value of y for the given value of x
Answer:
-4
Step-by-step explanation:
5 * -2 = -10 + 6 = -4
What does it mean to solve an equation?
Complete the statements.
The variable in the equation is represented by
To solve the equation you must find the
that makes the equation true.
is a solution of the equation because 5 = 5 is a true statement.
Answer: y, value of y, 9
Step-by-step explanation:
Answer:
1. Y
2. Value of Y
3. 9
Step-by-step explanation:
The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot n =
The distance between the two points pictured will be [tex]\sqrt{61}[/tex].
What is the distance between the two points?The length of the line segment connecting two places is the distance between them.
The distance between two places is always positive, and equal-length segments are referred to as congruent segments.
The given coordinate in the problem is;
(x₁,y₁)= (-3,-2)
(x₂,y₂)=(2,4)
The distance between the two points is found as;
[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]
Hence the distance between the two points pictured will be [tex]\sqrt{61}[/tex].
To learn more about the distance between the two points refer to;
https://brainly.com/question/16410393
Answer:
n=61
Step-by-step explanation: