Answer:
43.75 ft²
Step-by-step explanation:
[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.
[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)
Step 2: Divide 3.5 by 2 to get 1.75.
[tex]s_l[/tex] = 2(3.5√1.75² + 6²)
Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.
[tex]s_l[/tex] = 2(3.5√3.0625 + 36)
Step 4: Add 3.0625 and 36 to get 39.0625.
[tex]s_l[/tex] = 2(3.5√39.0625)
Step 5: The square root of 39.0625 is 6.25.
[tex]s_l[/tex] = 2(3.5 * 6.25)
Step 6: Multiply 3.5 by 6.25 to get 21.875.
[tex]s_l[/tex] = 2(21.875)
Step 7: Multiply 2 by 21.875 to get 43.75.
[tex]s_l[/tex] = 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
What is the length from Alaska to Chicago times 5 divided by 3?
Answer:
14302 miles
Step-by-step explanation:
from alaska to chicago it is 2861 mi.
2861 times 5
that divdied by three is 14302
How many quarters are there in 4
22?
2
134
Answer.
how can you use the multiplicative inverse to solve division problems?
(best answer gets brainliest)
Answer:
Hello, the multiplicative inverse is just another name for reciprocal. You can use this type of method when dividing fractions like:
1/2/3/5
You use the method known as kfc, keep, flip, change like this:
1/2 x 5/3
Notice how 1/2 is kept the same, the division sign is now a multiplying sign, and 3/5 is flipped.
And then you just answer it from there and you get 5/6
Step-by-step explanation:
I hope this helped you!
Researchers investigated whether providing a fancy, foil-wrapped piece of chocolate with the dinner bill would lead to higher tips than not providing such a treat. Sixty-four dinner parties at a restaurant in Ithaca, NY were randomly assigned to receive such a piece of chocolate or not with their dinner bill. Of the 32 parties who received the chocolate, the average tip (as a percentage of the bill) was 17.84%, with a standard deviation of 3.06%. Of the 32 parties who did not receive the chocolate, the average tip (as a percentage of the bill) was 15.06%, with a standard deviation of 1.89%. Determine a 96% confidence interval for the size of the difference in average tips between the two groups
Answer:
The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
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.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means while the standard deciation is the square root of the sum of the variances.
Of the 32 parties who received the chocolate, the average tip (as a percentage of the bill) was 17.84%, with a standard deviation of 3.06%.
This means that:
[tex]\mu_{C} = 17.84, s_{C} = \frac{3.06}{\sqrt{32}} = 0.541[/tex]
Of the 32 parties who did not receive the chocolate, the average tip (as a percentage of the bill) was 15.06%, with a standard deviation of 1.89%.
This means that:
[tex]\mu_{NC} = 15.06, s_{NC} = \frac{1.89}{\sqrt{32}} = 0.3341[/tex]
Difference in average tips
The distribution has mean:
[tex]\mu = \mu_{C} - \mu_{NC} = 17.84 - 15.06 = 2.78[/tex]
Standard deviation:
[tex]s = \sqrt{s_{C}^2 + s_{NC}^2} = \sqrt{0.541^2 + 0.3341^2} = 0.6358[/tex]
96% confidence interval
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.
Now, find the margin of error M as such
[tex]M = zs[/tex]
[tex]M = 2.054*0.6358 = 1.31[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 2.78% - 1.31% = 1.47%
The upper end of the interval is the sample mean added to M. So it is 2.78% + 1.31% = 4.09%
The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).
Help me please its due in 20 minutes!!!!
The area of a SQUARE is 22 ft2. Which of the following is the closest to
the length of each SIDE of the square?
Answer:
4.7ft
Step-by-step explanation:
Hello, the answer would be 4.7ft because 4.7^2 is closest to 22ft^2 with it being 22.09ft^2.
Free brainlest! Just answer this....... WHAT IS BETTER PS4 OR Xbox if you get it right you can have it!
Answer:
Depends
Step-by-step explanation:
PS4 has a better gaming system and better games (Spiderman example)
But Xbox has the better controller. I think Xbox is better I prefer it but it doesn't really matter.
Find the circumference and area of a circle with diameter of 18 inches. Use 3.14 for pi. Write your answer as decimals rounded to the nearest hundredth.
a. C = 56.52 in, A = 1017.36 in2
b. C = 56.52 in, A = 254.34 in2
c. C = 113.04 in, A = 254.34 in2
d. C = 113.04 in, A = 1017.36 in2
e. None of the above are correct.
Answer: b
Step-by-step explanation:
Radius = 9 inches, Pi= 3.14
Circumference = 2 x pi x radius = 2 x (3.14) x 9 = 56.52
Area = pi x radius x radius = (3.14) x 9 x 9 = 254.34
Answer:
Answer attached
Step-by-step explanation:
How much money is 5 dollars, 10 dimes, and 10 pennies?
Answer:
6 dollars and 10 cents
Step-by-step explanation:
I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!
A farmer sells 6.5 kilograms of apples and pears at the farmer's market.
3
4
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
1.625 kg
Step-by-step explanation:
An event that is guaranteed to happen has a probability of exactly
Answer:
100%
Step-by-step explanation:
It is confirmed to happen, or [tex]\frac{100}{100}[/tex]
Answer:
An event that is guaranteed to happen has a probability of exactly 1
Help me quickly!!! I'll try to give Brainlyest
Answer:
number 12 is A for sure
Need help guys givin brainliest
fyi its tall not fall
Answer:
5 feet tall.
Step-by-step explanation:
So, it gives us the ratio of the Statue of Liberty
1 inch wide for each 61 feet tall.
Then it gives us the tallness of the actual thing:
305 feet tall.
To find out how wide it is, we should be able to divide 305 by 61.
305/61 is 5.
Using the Pythagorean theorem: a right triangle has a side that is 24 in and one that is 25in (25 is the diagonal side) what is the length of the third side
Answer:
Third Side (Perpendicular side) = 7 inch
Step-by-step explanation:
Given:
First side (Base) = 24 inch
Second side (Diagonal/Hypotenuse side) = 25 inch
Find:
Third Side (Perpendicular side)
Computation:
Using Pythagorean theorem;
Perpendicular side = √Hypotenuse side² - Base²
Perpendicular side = √25² - 24²
Perpendicular side = √625 - 576
Perpendicular side = √49
Perpendicular side = 7 inch
Third Side (Perpendicular side) = 7 inch
The radius of each semicircle in the composite figure is x units. The width of the rectangular part of the figure is equal to the radius.
Which expression represents the distance around the composite figure
A. 6x+2πx
B. 6x +4πx
C. 10x +2πx
D. 10x +4πx
Answer:
A) 6x + 2πx
Step-by-step explanation:
left side of figure = 4x
top and bottom flat portion of figure = 2x
2 semi-circles with radius of x is equal to 1 full circle with diameter = 2xπ
distance around = 4x + 2x + 2xπ or 6x + 2πx
Find the value of x in the triangle shown below x 42 106
Answer:
Step-by-step explanation:
where is the picture?
Answer:
you need a picture lol
Step-by-step explanation:
HELP ME PLEASE!!! No links
Answer:
H 60
Step-by-step explanation:
You would need to find out what you would multiply times 0.5 to get 30. Then to get that answer just divide 30 by 0.5. which is 60
I WILL GUVE BRAINERLEST AND A LIKE
Jack needs to replace some flooring in
his house.
Answer:
B
Step-by-step explanation:
i think
Please help this is Geometry
Answer:
solution given:
volume of lower one[V1]=l×b×h=1.5×0.5×0.5=0.378m³
volume of upper one [V2]=l×b×h=1×0.5×(0.75-0.5)=
0.125m³
total volume=V1+V2=0.378m³+0.125m³=0.503m³
0.503m³ is your answer
Sean and Hope are going bowling. For each person, a game costs $4.25. Shoe rentals are $3.00. Sean gives the clerk $20 for their admission and shoe rental. How much change should he receive? *
1 point
$12.75
$5.50
$9.75
$14.50
PLZ HELPPP ME NEED IT BY TODAYYYYYYYYYY!!!!!!!!!!!!!
Answer:
The answer is 5.50.
Step-by-step explanation:
First, you do 4.25+3.00=7.25
Second, 20-7.25=12.75
but read the beggining again it says sean AND hope so repeat the step again.
First, you do 4.25+3.00=7.25
Second, 20-14.50=5.50
what’s the domain of this relation?
Answer:
there is nothing here but thanks for the points
Step-by-step explanation:
Have a great rest of your day/night!
Determine the average percent of change from 1960–2000
1960 1970 1980 1990 2000
$0.25 $0.36 $1.19 $1.35 $1.26
show your work
Answer:
1970 +46%
1980 +232%
1990 +14%
2000 -8%
Step-by-step explanation:
Mark had 3 times as many quarters as nickels. He had $1.60 in all. How many nickels and how many quarters did Mark have? x represents . 3x represents .
Answer:
x represents nickels = 2
3x represents number of quarters = 6
Step-by-step explanation:
x represents nickels
3x represents number of quarters
We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x
x(0.05) + 3x(0.25) = 1.60
0.05x + 0.75x = 1.60
0.80x = 1.60
x = 2 = number of nickels
So 3x = 6 = number of quarters
Checking the math:
2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60
Please help me.. I don't undersand this
Answer:
45 degrees.
Step-by-step explanation:
When two angles are next to each other along a straight line, their sum = 180 degrees.
180 - 135 = 45
Answer:
I know i may be unwanted here but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!
Step-by-step explanation:
A store stocked 150 cans of popcorn for a weekend sale. That Weekend, 99 of the cans sold. What percentage of cans of popcorn stocked were unsold that weekend?
Answer:
34%
Step-by-step explanation:
99/150 = 0.66
1.00 - 0.66 = 0.34
34%
Answer:There is 48% of cans
5x +60/x -15x +15/x-20
Answer:
5x-60=x - solution,..........
Answer:
Answer:
5x +60/x -15x +15/x-20
60/x+15/x-15x+5x-20
75/x-10x-20
is your answer
combined liked terms by adding and subtracting.
The table represents equivalent ratios of x to y. Find the missing numbers in the table.
Х
y
15
20
16
25
o
30
24
can anyone help me with this?
Answer:
First Blank (4) Second Blank (3)
Step-by-step explanation:
The square in the middle is the base and if you count the side units you will have 4 on each side. From the square the triangle points up 3 units on the graph.
Hope this helps : ) Mark Brainliest
On the number line, plot and label all numbers with an absolute value of 32. Where did you place the points?
Answer:
on 32 and -32
Step-by-step explanation:
9 cm
4 cm
1
14 cm
5 cm
Answer:
this is D
Step-by-step explanation: