Answer: 154 sq cm
Step-by-step explanation:
The area of a rectangular shaped pool is 64 squared meters. The width is 9 meters. Write and solve an equation to determine the length of the pool. Show work.
Answer:
7.11
Step-by-step explanation: Area=lengthxwdth
64=lengthx9
64/9=length
7.11=length
You went out to lunch with three friends and your subtotal was $42 not including the sales tax of 6%.
Calculate what the total bill would be with the sales tax.
Answer:
It's DEFINITELY 2.52
Step-by-step explanation:
Change 6% to a decimal, which will be .06! Times $42 Times.06 and you'll end with the answer $2.52 !!!
which set of side lengths can form a triangle?
А: 2 cm, 2cm. 6 cm
B:3 cm 6 cm, 9 cm
C:4 cm, 8 cm, 5 cm
D:8 cm, 3 cm, 4 cm
Answer:
C:4 cm, 8 cm, 5 cm
Step-by-step explanation:
sum of length of any two sides of a triangle will be larger than the third side.
Please no troll include work
the amount of gas used by a household is shown in the table. what is the slope of the data from the table
Answer. i cant answer this without a pic of the slope
Step-by-step explanation:
Consider the salt shaker shown.
5 cm
cm
What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.
Volume of Salt Shaker =
Answer:
Volume of salt shaker = 42.4 cm³ (Approx.)
Step-by-step explanation:
Given:
Height of salt shaker = 5 cm
Diameter of salt shaker = 3 cm
Find:
Volume of salt shaker
Computation:
Radius of salt shaker = Diameter of salt shaker / 2
Radius of salt shaker = 3 / 2
Radius of salt shaker = 1.5 cm
Volume of salt shaker = Volume of cylinder + Volume of Hemisphere
Volume of salt shaker = πr²h + (2/3)πr³
Volume of salt shaker = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³
Volume of salt shaker = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)
Volume of salt shaker = 35.325 + 7.068
Volume of salt shaker = 42.4 cm³ (Approx.)
Pls help I’ll brainlest hurry due in 3 minutes
Answer:
B
Step-by-step explanation:
MOVE TO THE RIGHT 9 TIMES!!
solve for x 9.2, 16.5, x
Answer:
152
Step-by-step explanation:
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
Answer: f is Parralel to g
Step-by-step explanation:
Answer:
You gave us no choices
Step-by-step explanation:
h is not parallel f
Specialized license plates have seven permissible characters: letters, numbers, a dash (-)
and the ampersand (&). How many custom plates are available?
Answer:
[tex]Total = 38^7[/tex]
Step-by-step explanation:
Given
[tex]Plate\ Number = 7\ characters[/tex]
[tex]Letters \to 26[/tex] [tex]\to [A- Z][/tex]
[tex]Numbers \to 10[/tex] [tex]\to [0 - 9][/tex]
[tex]Dash \to 1[/tex] [tex]\to [ - ][/tex]
[tex]Ampersand \to 1[/tex] [tex]\to [\&][/tex]
Required
Number of possible characters
Since the order and ways of selecting each character is not selected, then it means that any of the permissible character can occupy any of the 7 available spaces, with repetition.
The total possible characters (n) is:
[tex]n = 26 +10 + 1 + 1[/tex]
[tex]n = 38[/tex]
Any of the 38 characters can occupy any of the 7 spaces.
Hence, the total number of character is:
[tex]Total = n^7[/tex]
[tex]Total = 38^7[/tex]
A. 19 units
B. 38 units
C. 12 units
D. 22 units
Answer:
I think 12 is 5he right answer
which measurement is closest to the area of the shaded region in square inches
135°
Solve for <2.
62 = [?]
45°
&2
86°
Enter
Answer:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
Step-by-step explanation:
remember that,
if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles
thus our equation is
[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]
cancel out 86° from both sides:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
hence,
the measure of the missing angle is 49°
Answer:
Solution given'
<2+45+86=180°[sum of interior angle of a triangle]
<2=180-131
<2=49°
What is the sum of the first ten terms in a geometric series
with a1=
6 and r = 2?
Answer:
[tex]S_{10} = 682[/tex]
Step-by-step explanation:
Given
[tex]a_1 = 6; r = 2[/tex]
Required
[tex]S_{10[/tex]
This is calculated as:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
So, we have:
[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]
[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]
[tex]S_{10} = \frac{6 * 1023}{9}[/tex]
[tex]S_{10} = 682[/tex]
Find the Area of the figure below, composed of a rectangle with a semicircle
removed from it. Round to the nearest tenths place.
Answer:
Area of the figure = 25.7 units²
Step-by-step explanation:
Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD
Area of the rectangle ABCD = Length × Width
= BC × AB
= 8 × 4
= 32 units²
Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
Here, r = radius of the semicircle
r = [tex]\frac{\text{Diameter}}{2}[/tex]
r = [tex]\frac{1}{2}(CD)[/tex]
r = [tex]\frac{4}{2}[/tex]
r = 2 units
Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]
= 2π
= 6.28 units²
Area of the given figure = 32 - 6.28
= 25.72 units²
≈ 25.7 units²
One pipe fills an empty tank in 3 hours. A second pipe fills the same tank in 6 hours. A third pipe can empty the full tank in 5 hours. If all three valves were left open, how long would it take to fill the empty tank?
Your IPod has 3 hours of battery remalning. If it has 15 hours when fully charged, what percent charged is it right now?
Answer:
60%
Step-by-step explanation:
5 hours - 100%
1 hour - 100/5 = 20%
3 hours - 20 x 3 = 60%
Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.
If she spent $36 in all, what was the original cost of a shirt?
Answer:
OMG
Step-by-step explanation:
I had the same question
Answer:
$10.79
Step-by-step explanation:
x = original cost of one t shirt
We can build this equation
x - (20/100) x + 3x- 5 = 36
-1/5x + 4x = 41
-x + 20x = 205
19x = 205
x = $10.79
Help solve the problem pls
Answer:
x = 2
Step-by-step explanation:
Inverse variation between x and y can be represented as:
xy = k
Where k is the constant of proportionality.
If x = 1 when y = 11, the constant of proportionality, k, would be:
1*11 = k
k = 11
To find x when y = 5.5, substitute y = 5.5 and k = 11 into xy = k
Thus:
x*5.5 = 11
Divide both sides by 5.5
x = 11/5.5
x = 2
What is the perimeter of a square with a side length of 9 meters?
Answer:
36 meters
Step-by-step explanation:
A square has equal side lengths, and a total of 4 sides, so
9 times 4 is equal to 36.
Remember your units!
A $146 tent was sold for 20% off. There was a sales tax of 4%. What was the discount
amount, sales tax and final cost of the tent?
the discount price was 29.2
step by step 146 minus 20% = 116.8 116.8 + 4% =121.472 the sales tax added 4.672$ to the total amount and the discount price removed 29.2 of the required pay
Directions: identify weather the problem has a minimum or a maximum type an “X” in the box next to your answer
A) y= x^2+2x-1
Minimum or maximum
B) y=-x^2-8x-1
Minimum or maximum
C) y=2x^2+8x
Answer:
A) minimum
B) maximum
C) minimum
Step-by-step explanation:
A positive x² coefficent means the parabola opens up and the vertex is the minimum
A negative x² coefficent means the parabola opens up and the vertex is the maximum
---------------------------------
A) minimum
B) maximum
C) minimum
Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it. You randomly ask 20 Greensboro voters whether they support the bond referendum. The standard error of the sample proportion is _____. The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is _____. Group of answer choices 0.0993; 0.6000 0.0993; 0.0951 0.1095; 0.1170 0.1095; 0.8830
Answer:
The standard error of the sample proportion is 0.0993.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
73% of voters support it.
This means that [tex]p = 0.73[/tex]
Sample of 20 voters
This means that [tex]n = 20[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.73[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.73*0.27}{20}} = 0.0993[/tex]
The standard error of the sample proportion is 0.0993.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is
12/20 = 0.6, so this is the p-value of Z when X = 0.6.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.6 - 0.73}{0.0993}[/tex]
[tex]Z = -1.31[/tex]
[tex]Z = -1.31[/tex] has a p-value of 0.0951.
So
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
The standard error of the sample proportion is 0.0098.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951
Given that,
Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it.
You randomly ask 20 Greensboro voters whether they support the bond referendum.
We have to determine,
The standard error of the sample proportion is.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is .
According to the question,
There is a school bond referendum in Greensboro, and 73% of voters support it.
20 Greensboro voters whether they support the bond referendum.
To find standard deviation of sample proportion.
[tex]standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
Where, p = 73% = 0.73
And n = 20
Therefore,
[tex]Standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}\\\\ Standard \ deviation = \sqrt{\dfrac{0.73(1-0.73)}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.73\times 0.27}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.19}{20}}\\\\Standard \ deviation = 0.0098[/tex]
The standard error of the sample proportion is 0.0098.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is,[tex]\dfrac{12}{20 }= 0.6[/tex]
This is the p-value of Z when X = 0.6.
Therefore,
[tex]Z = \dfrac{X-\mu}{\sigma}\\\\Z = \dfrac{0.6-0.73}{0.993}\\\\Z = -1.31\\\\[/tex]
Z = -1.31 has a p-value of 0.0951.
Hence, The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
To know more about Probability click the link given below.
https://brainly.com/question/24248147
Complete the function table for each equation
Answer:
y=-32, 0, -16, -4, 16
Step-by-step explanation:
y=4(-6)-8= -32
y=4(2)-8 = 0
y=4(-2)-8 = -16
y=4(1) -8 = -4
y=4(6) -8= 16
For the given equation of the line, the complete table is attached below.
Use the concept of the equation of line defined as:
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.
The given equation of a line is,
y = 4x - x
To complete the table:
Put x = -6 in this equation,
y = (-4)(-6) - 8
y = 16
Put x = 2 in the equation,
y = (-4)(2) - 8
y = -16
Put x = -2 in the equation,
y = (-4)(-2) - 8
y = 0
Put x = 1 in the equation,
y = (-4)(1) - 8
y = -12
Put x = 6 in the equation,
y = (-4)(6) - 8
y = -32
The complete table is attached below.
To learn more about the equation of line visit:
brainly.com/question/18831322
#SPJ6
How many children would you need to invite to the party for the cost to be the same both places
Answer:
4 children
Step-by-step explanation:
Let the number of children = c.
The cost of the pizza place for c children (without the fee) = 8c
The cost of the pizza place for c children (with the fee) = 8c+30
The cost of the taco place for c children (without the fee) = 12c
The cost of the taco place for c children (with the fee) = 12c+14
To find c when the totals are equal, set 8c+30 equal to 12c+14 and solve:
8c+30=12c+14
8c-12c=14-30
-4c=-16
c=4
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
Answer:
2.25, or 2 1/4 or 9/4.
Step-by-step explanation:
3/4 times 3 = 9/4
Plz stop deleting my questions! This is a urgent!!plz help meee!,
Answer:
B
Step-by-step explanation:
Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.
4. Solve the logarithmic equation for X:
log(x) -log(4) = 3
Answer:
X=7
Step-by-step explanation:
Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
I've attached the picture for the problem.
Answer:
Not correct
Step-by-step explanation:
Given:
x² - 6x - 7 = 0
The following equation can be solved correctly by factoring Thus,
x² - x + 7x - 7 = 0
x(x - 1) +7(x - 1) = 0
(x - 1)(x + 7) = 0
(x - 1) = 0
x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
Or
(x + 7) = 0
x + 7 = 0
x + 7 - 7 = 0 - 7
x = -7
Therefore, the solution would be x = 1 or x = -7
Lateena solution is therefore NOT CORRECT because she used a wrong method.
72% of what number is 144? Answer please
Answer:
103.68
Step-by-step explanation:
Answer:
103.68
To solve you would convert the percent to decimal form .72.
Then divide by 144
.72/144=103.68
your answer is 103.68