Answer:
106
Step-by-step explanation:
Given that:
Mean (m) = 13.5 pounds
Error margin = 0.025
α = 99%
Variation interval = range = 13.3 to 13.7
Standard deviation (σ) estimate from range :
Range / 4
(13.7 - 13.3) /4
= 0.4 / 4
= 0.1
Zcritical at 99% = 2.576
Using the formula :
Sample size (n) = [ (Zcritical * σ) / M. E]^2
n = [(2.576 * 0.1) / 0.025]^2
n = (0.2576 / 0.025)
n = 10.304^2
n = 106.172
n = 107 samples
An employee works 22 days
per month. If they work an
average of 8 1/4 hours per
day, how many hours do they
work per month?
8.25 x 22 = 181.5
181.5 divided by 60 = 3.025
each month, they would work about 3 hours
To make lemonade, Brandon mixes 9 cups of water with 2 cans of frozen lemonade concentrate.
Answer:
Step-by-step explanation:
Y la pregunta?
In the figure, angle K measures 45°. What is the measurement of angle C? A. 38° B. 45° C. 90° D. 98°
Answer:
B. 45°Step-by-step explanation:
C = 90° - J as CGJ is right triangleJ = 90° - K = 90° - 45° = 45° as AKJ is right triangleC = 90° - 45° = 45°Option B is correct
Answer:
45°
Step-by-step explanation:
Which of the following equations could be used to predict the value, V(t), after t years, of a $1000 investment expected to appreciate by 5% each year?
A
V(t)=1000(0.5)t
B
V(t)=1000(1+0.5)t
C
V(t)=1000(0.05)t
D
V(t)=1000(1+0.05)t
Answer:
D
Step-by-step explanation:
The equations could be used to predict the value is
V(t) = 1000 (1+ 5/100[tex])^t[/tex]
What is Future Value?A financial concept known as future value (FV) assigns a value to an asset based on anticipated factors like future interest rates or cashflows. Knowing how much their investment would be in five years, given a projected rate of return, may be valuable for an investor.
We have,
P= $1000
R= 5%
T= time in years
We know that amount
A(t) = P(1 + R/100[tex])^t[/tex]
So, V(t) = 1000 (1+ 5/100[tex])^t[/tex]
Thus, the required function is V(t) = 1000 (1+ 0.05[tex])^t[/tex]
Learn more about Future Value here:
https://brainly.com/question/14860893
#SPJ3
Solve for L.........
Answer:
L = P/2 - W
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
P = 2L + 2W
Step 2: Solve for L
Subtract 2W on both sides: P - 2W = 2LDivide 2 on both sides: (P - 2W)/2 = LDistribute division: P/2 - W = LRewrite: L = P/2 - WFind all values of X which make the equation below true | 3x + 5 | = 8
Answer:
x= -13/1,1
3x+5=8
-(3x+5)=8
x=1
x=-13/3
x=-13/3,1
Answer:
x and equal 1 or -13/3
Step-by-step explanation:
this is an absolute value equation so the equation can either equal 8 or -8. if you set up two equations that are 3x+5=8 and 3x+5 = -8 and just isolate the x, you get 1 and -13/3.
4t-8
select all that apply.
A: 4(t-2)
B: 4(t-8)
C: (t-2)4
D: 4(4t-2)
Answer:
A. is the answer.
Step-by-step explanation:
4t-8=4×(t-2)
4=0
t-2 add to both side of equation
t=2
Given the line below, state the slope of the PARALLEL line. y=-8x + 10 what is the answer need help
Step-by-step explanation:
the slope if the equation will be -8
Which graph has the domain of x>-3? The less than sighn is supposed to have the line under. Will mark the brainliest
Answer:
Top graph
Step-by-step explanation:
It starts at x and continues right, so x > -3 in that graph
The temperature of a pot of water is 62 °F.
The temperature increases by 20 °F per
minute when being heated.
Write an equation to represent the linear
relationship.
A. y = 62x + 20 C. y = 62 + 20
B. y = 20x + 62 D. y = (62 + 20)x
Answer:
i say B
Step-by-step explanation:
the pot is 62 which means that 20 would be x due to it increasing 20 degrees per minute
Please anerw the pic attached below!
Answer:
x = 27
Step-by-step explanation:
m<X + m<XWY + m<XYW = 180 (measures of <s of triangle add to 180)
m<X = 90
90 + m<XWY + m<XYW = 180
m<XWY + m<XYW = 90 Equation 1
m<XWY + m<VWY = 180 (linear pair) Eq. 2
m<XYW + m<ZYW = 180 (linear pair) Eq. 3
Add Eqs 2 & 3
m<XWY + m<VWY + m<XYW + m<ZYW = 360
m<XWY + m<VWY + m<XYW + m<ZYW = 360
According to Eq. 1, m<XWY + m<XYW = 90.
90 + m<XYW + m<ZYW = 360
Also, m<VWY = 6x & m<ZYW = 4x
90 + 6x + 4x = 360
10x = 270
x = 27
Connor has 36¢ in nickels and pennies. He has 8 coins altogether. How many coins of each kind does he have?
Answer:
7 nickels
1 pennie
Step-by-step explanation:
Answer:
Connor has 7 nickles and 1 penny.
Step-by-step explanation:
7 * 5 = 35
5 is the value of a nickel.
1 * 1 = 1
35 + 1 = 36
Therefore, Connor has 7 nickels and 1 penny.
I need help with these too questions
Number 1
Number 2
Answer:
Step-by-step explanation:
-6n + 2.9 = 11
subtract 2.9 from both sides
-6n = 8.1
divide both sides by -6
n = -1.35
2/3n - 3 = 8
add 3 to both sides
2/3n = 11
multiply both sides by 3
2n = 33
divide both sides by 2
n = 16.5
hope this helps <3
Answer:
left side:
-6n = 11 - 2.9
-6n = 8.1
n = - 8.1/6
n = - 1.35
right side:
2/3 n = 8 + 3
2/3 n = 11
n = 33/2
n = 16.5
find the scale factor of the dilation
Answer:
k=1/2
It is a reduction
Step-by-step explanation:
To the scale factor, you simply divide the length of the post image by the image.
10/20=k
1/2=k
Find (f/g)(x)
f(x)=√ x^2-1
g(x)√ x-1
A. √ x+1
B. √ x-1
C.√ -x^2/-x+1
D.√ 1/x+1
Answer:
option A is the Answer
Step-by-step explanation:
hope it helps
A regular hexagon has an area of 750.8cm². The side length is 17cm. Find the apothem.
A. 7.4cm
B. 14.7cm
C. 21.5cm
D. 88.3cm
please help meeee the blue line is what I have to find please show your work
Answer:
So we have to satisfy the equation so let us simplifyLet the empty space be n N-16+4n+9+1= 10n-6 N-4n=10nn=14n So the missing value is 14N to statify the equationJoe Cool made 85% of the free throws
he attempted last season. If he made
51 free throws, how many did he
attempt?
Answer:
60 attempts
Step-by-step explanation:
Divide 51 by .85, and you get 60!
Simplify: √(√21 -2√7)^2
WILL AWARD BRAINLIEST TO THE CORRECT ANSWER!!
Answer:
Solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex]
We know that [tex]\sqrt{x} = x^{\frac{1}{2}}[/tex]
Solving:
[tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}\\=((\sqrt{21}-2\sqrt{7} )^2)^\frac{1}{2}[/tex]
We know that [tex](a^2)^\frac{1}{2}=a[/tex]
= [tex]\sqrt{21}-2\sqrt{7}[/tex]
So, solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]
What is the value of x when y=6
Answer:
When x = 12, y = 4.
Step-by-step explanation:
If
y
∝
x
we can write that
y
=
k
⋅
x
where k is a constant of proportionality.
Using the values given:
6
=
18
⋅
k
⇒
k
=
1
3
y
=
1
3
⋅
12
=
4
Please solve this all of it thx!!
Answer:
6,24,12,16,18,4
Step-by-step explanation:
Brainliest please
Happy holidays
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Ed 2020
You went to the store and bought a pair of jeans for $22, new sneakers for $54 and some shirts for $12.99 each. You spent a total of $127.96. How many shirts did you buy?
Answer:
4 shirts
Step-by-step explanation:
127.96 - 76 (54+22)
51.96 / 12.99 = 4
Plss i need help! this is 6th grade math.
7 inches = 17.78 cm
Step-by-step explanation:
I looked it up
Answer:
17.78
Step-by-step explanation:
Each inch is 2.54cm.
We will first multiply 2.54 into 7 inches, since it is asking us for the centimeters, then our work should now look like this: 2.54 x 7 = 17.78
We can check our work by dividing the sum by the number in our equation.
17.78/7= 2.54
The price of a shirt is usually £64 During a sale the prices in the shop are reduced by 3/4 How much is the shirt in the sale ?
Answer:
£16
Step-by-step explanation:
Step one:
given data
The price of a shirt is £64
When the price is reduced by 3/4, i.e 0.75
the reduced amount can be calculated as
0.75*64
=£48
Step two:
The new price or the cost of the shirt when the price is reduced is
= 64-48= £16
Find the H.C.F. of 40 and 60
Answer:
it's answer is 20
Step-by-step explanation:
hope it helps you
Find the value of X. I can't figure out what to do when one is at a right angle.
Answer:
x = 20
Step-by-step explanation:
Two lines are parallel. So, alternate interior angles are congruent.
x +8 + 6x - 58 = 90
7x - 50 = 90
7x = 90 +50
7x = 140
x = 140/7
x = 20
subtract 3 from 4 times m
Answer:
-1
Step-by-step explanation:
not sure if the equation is 3-4m or 3-4 but it's -1 if the equation is 3-4
Write the expression as a radical.
Answer:
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]
Step-by-step explanation:
Let us consider the expression
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]
Writing the expression as a radical
But, let us revise some rules:
[tex]\sqrt{a}=a^{\frac{1}{2}}[/tex]
[tex]\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]\left(a\cdot \:b\right)^n=a^nb^n[/tex]
let us solve now
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]
[tex]=5^{\frac{3}{2}}\left(ab\right)^{\frac{3}{2}}[/tex] ∵ [tex]\:5^{\frac{3}{2}}=5\sqrt{5}[/tex]
[tex]=\left(5ab\right)^{\frac{3}{2}}[/tex]
[tex]=\left(5ab\right)^{3\cdot \frac{1}{2}}[/tex]
[tex]=\left(\left(5ab\right)^3\right)^{\frac{1}{2}}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}[/tex]
[tex]=\sqrt{\left(5ab\right)^3}[/tex]
Thus,
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]
A pair of equations is shown below:
y=7x- 8
y= 5x-2
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points
Answer:
x=3, y=13. (3, 13).
Step-by-step explanation:
7x-8=5x-2
7x-5x-8=-2
2x-8=-2
2x=-2+8
2x=6
x=6/2=3
y=5(3)-2=15-2=13
Answer:
given y=7x-8 i
y=5x-2 ii
Step-by-step explanation:
equating equation i and ii which is i=ii
7x-8=5x-2
7x-5x= -2+8
2x=6
x=6÷2
x=3
now
putting the value of xbin equation i
y=7x-8
y=7×3-8
y=21-8
y=13
hence the value of x and y is 3 and 13 respectively
