Compute the mean and standard deviation for the sample below, rounding each to the nearest hundredth.
13, 14, 16, 19, 21, 24, 25
The mean of the sample is
Write 5⁴ in expanded form. Then share the value of this exponent.
Answer: 626
Step-by-step explanation:
5x5x5x5 = 625
A plumber uses the expression 48 + 25h to determine the number of dollars to charge each customer. If h= 2.5, how much does the customer pay
Answer:
$110.5
Step-by-step explanation:
48 + 25(2.5)
48 + 62.5
=110.2
Answer:
The answer is 110.5
Step-by-step explanation:
48+25(2.5)=110.5
What is the value of n in this equation?
7^6·7^3=7^n
Answer: n = 9
Step-by-step explanation:
first, we calculate the first equation.
7^9 = 7^n
then, we set the exponents as equal.
9 = n
then, we simply swap the sides.
n = 9
Belinda has more than two times as many shoes as Georgia
and more than twice as many as Nina. If both Georgia and
Nina have at least 5 pairs each, how many pairs of shoes
does Belinda have? (Lesson 55)
Answer:
16
Step-by-step explanation:
27. Two sisters are 7 years apart in age. The product of their ages is 260 years. What is the age of the older sister.
a. 14 years
b. 21 years
C. 13 years
d. 20 years.
PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELPPLZ HELP
Answer:
$22,100
Step-by-step explanation:
20 x 25 = 500
10 x 18 = 180
500 + 180 = 680
680 x 32.50 = 22,100
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help me please .........
Answer:
D. A slope of 3/2
Step-by-step explanation:
FInd slope with the formula y2-y1/x2-x1
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
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qustion to give kagimatoby a brainly
Answer:
wdym
Step-by-step explanation:
Rotate the triangle R(3,1), S(1,3), 7(4,5) 180° about the origin
Answer:
R'(-3,-1), S'(-1,-3), T'(-4,'5).
Step-by-step explanation:
Rotations
Rotating a point of coordinates M(h,k) through 180° about the origin maps it to coordinates to M'(-h, -k).
The triangle has the vertices at R(3,1), S(1,3), T(4,5). After a rotation of 180° about the origin it maps to a new triangle with coordinates:
R'(-3,-1), S'(-1,-3), T'(-4,'5).
An image of both triangles is shown below.
Plzzzzzz help answer this question ASAP
Answer:
1. Not possible
2. Possible
3. Possible
4. Possible
Step-by-step explanation:
An electronics store is having a 25% off sale on all gaming systems. The
original price of a gaming system is x dollars. Which expression
represents the sale price of a gaming system?
Answer:
x - 0.25x
Step-by-step explanation:
x - 25% of x
x - 0.25x
which list shows the temperatures in order from coldest to warmest in degrees fahrenheit? HELP ME PLSSS I NEED THIS SOON
Answer:
Step-by-step explanation:
The answer is C
(づ｡◕‿‿◕｡)づ
Hope it helps
What is the equation of a line perpendicular to -x +2=y that intersects the line at (-1.5, 3.5)?
Answer:
y=x+5
Step-by-step explanation:
y-y1=m(x-x1)
y=-x+2
slope of y=-x+2 is -1, perpendicular slope is 1
y-3.5=1(x-(-1.5))
y-3.5=x+1.5
y=x+5
178,964 divided by 28 explain
Answer:
6391.64285714 is the answer
3. Which expression is equivalent to 1+2(x-1)
Answer:
2x - 1
Step-by-step explanation:
Equivalent Algebraic Expressions
One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.
The expression:
1 + 2(x - 1)
Can be modified by applying the following operations:
Multiplying the constant by the contents in parentheses:
1 + 2x - 2
Collecting like terms:
-1 + 2x
Or, equivalently:
2x - 1
Consider these functions:
f(x)= -1/2x^2 + 5x
g(x)= x^2 + 2
What is the value of f(g(-2))?
Answer:
The value of f(g(-2)) is 12.
Step-by-step explanation:
We'll start by solving g(-2):
[tex]g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6[/tex]
Now we can take that value and plug it into function f:
[tex]f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12[/tex]
Alternatively, you can work out a new single function that in itself describes f(g())
[tex]f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8[/tex]
and try plugging -2 into the new function
[tex]= - \frac{-2^4}{2} + 3(-2)^2 + 8\\= -16 / 2 + 3 * 4 + 8\\= -8 + 12 + 8\\= 12[/tex]
The value of f(g(-2)) for the given expression will be 12.
What is an expression?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
f(x) = [tex]\frac{-1}{2} x^2[/tex] + 5x
And,
g(x) = x² + 2
Now,
For, x = -2,
i.e.
g(x) = x² + 2
Now,
Substituting the value of x = -2,
g(-2) = (-2)² + 2
On solving,
We get,
g(-2) = 6
Now,
For, f(g(-2)),
f(x) = [tex]\frac{-1}{2} x^2[/tex] + 5x
i.e.
Substituting the value of g(-2) = 6,
i.e.
f(g(-2)) = [tex]\frac{-1}{2} (g(-2)^2)[/tex] + 5(g(-2))
i.e.
f(g(-2)) = [tex]\frac{-1}{2} *6^2[/tex] + 5 * 6
On solving,
We get,
f(g(-2)) = -18 + 30
i.e.
f(g(-2)) = 12
So, the value of f(g(-2)) for the given expression is 12.
Hence, we can say that the value of f(g(-2)) for the given expression will be 12.
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Express the recurring decimal 0.142 as a fraction in its simplest form
Answer:
[tex]\frac{47}{330}[/tex]
Step-by-step explanation:
We require to create 2 equations with the recurring part (42) placed after the decimal point.
let x = 0.14242 ( multiply both sides by 10 and 1000 )
10x = 1.4242... → (1)
1000x = 142.4242... → (2)
Subtract (1) from (2) thus eliminating the recurring decimal
990x = 141 ( divide both sides by 990 )
x = [tex]\frac{141}{990}[/tex] = [tex]\frac{47}{330}[/tex]
The fractional form of the recurring decimal 0.142 is 47/330.
What is a recurring decimal?A number whose digits are periodic and the indefinitely repeated component is not zero is represented as a repeating decimal or recurring decimal. If and only if a number's decimal representation repeats or terminates, it is possible to demonstrate that the number is rational.
Given, A recurring decimal 0.142 where 4 and 2 are repeating.
In the denominator, we'll write as many 9's as there are recurring digits after the decimal and after as many zeros as there are digits after the decimal which are not repeating, and in the numerator, we'll subtract the nonrecurring digits from the total digits after the decimal.
Therefore, 0.142 where 4 and 2 are repeating can be written in fraction form as,
(142 - 1)/990.
= 141/990.
= 47/330.
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Mandy and her mom are making homemade play-dough. Besides the flour, the recipe calls for 1/4 cup of salt for every 3/4 cup of water
used. How much salt would they need if they used one cup of water?
Answer:
about a half teaspoon
Step-by-step explanation:
It was found that an unknown solid had a density of 20 g/cm3 and a volume of 30 cm3. Determine the mass of the solid.
Answer:
30
Step-by-step explanation:
The mass of the solid is 600 grams if the unknown solid had a density of 20 g/cm3 and a volume of 30 cm3
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
It is given that:
It was found that an unknown solid had a density of 20 g/cm3 and a volume of 30 cm3
As we know, from the definition of density:the mass-to-volume ratio
Density = mass/volume
mass = densityxvolume
mass =20x30
mass = 600 grams
Thus, the mass of the solid is 600 grams if the unknown solid had a density of 20 g/cm3 and a volume of 30 cm3
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What is the value of n?
А. 47°
B. 85°
С. 81°
D. 38°
Answer: 81
Step-by-step explanation: because you have 133 and 142 so if i was you i would subtract
step 1: 142-133 = 9
Step 2: 90 - 9 = 81
There that is your answer 81
The monthly expenditures on food by single adults in one city are monthly distributed with a mean of $410 and a standard deviation of $70
Answer:
is the whole question asked?
A point is plotted at 30.05 on a number line. Which of these describes the
location of the point?
between 5 and 30
between 30 and 31
between 29 and 30
1)) between 31 and 35
please help ! select all that apply.
Answer:
All expect the first one
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
Which expression is equivalent to 16a -18b + 20a
A.(16 + 20)a + 18b
B.(16 + 20)a - 18b
C.(16 - 20)a + 18b
D. 16a - (20a + 18b)
20 POINTS! HELP!
Which operations can be applied to both sides of the inequality 8 < 10 such that it remains a true statement?
4 ANSWERS!!
Add -4
Divide by 8
Multiply by -2
Subtract -7
Divide by -3
Multiply by 1/2
By the Exterior Angle Theorem, which of the following is a true statement?
Answer:
2nd option is the correct answer
Step-by-step explanation:
[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]
According to the Exterior Angle Theorem, the true statement should be considered as the option b.
What is an Exterior Angle Theorem?The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.
So based on this, we can say that the option b is correct.
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And a bag of M&Ms there are three red M&Ms for every two yellow M&Ms how many yellow M&Ms would there be if the ratio stay the same and you had 15 red M&Ms
Answer:
30 yellow m&m's
Step-by-step explanation:
Triangle XYZ has vertices at X(-4, 3), Y(-3, -2), and Z(-7, -4). The
triangle will be rotated 270° clockwise about the origin and then
translated 9 units to the right and 5 units down.
What will be the coordinates of Y?
À (2, 3)
B. (7.2)
c. (7, 6)
D. (11, 8)
Answer:
D
Step-by-step explanation:
The coordinates of Y will be (7, 2)
Option B is the correct answer.
What is translation?It is the process of moving a shape to its left, right, up, or down.
The translated and the original shapes are congruent.
We have,
Triangle XYZ.
Vertices:
X(-4, 3), Y(-3, -2), and Z(-7, -4).
The coordinates of Y = (-3, -2)
If the triangle is rotated 270 degrees clockwise, the coordinates of
Y = (-3, -2) will turn to Y = (3, -2).
Translated 9 units to the right.
Y = (3 + 9, -2 + 9)
Y = (12, 7)
Translated 5 units down:
Y = (12 - 5, 7 - 5)
Y = (7, 2)
Thus,
The coordinates of Y will be (7, 2)
Option B is the correct answer.
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