Answer:
Area = 19.05 feet squared
Step-by-step explanation:
By applying sine rule in ΔABC,
sin(∠CAB) = [tex]\frac{\text{Opposite side }}{\text{Hypotenuse}}[/tex]
sin(60°) = [tex]\frac{BC}{AC}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{BC}{4}[/tex]
BC = 2√3
Area of a parallelogram is given by the formula,
Area = Base × Height
= 5.5 × 2√3
= 11√3
= 19.05 ft²
Therefore, answer is Area = 19.05 ft squared.
At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?
Answer:
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Step-by-step explanation:
What is the probability that an attendee sits in on the information technology session or the social media session?
They cant be in both sections simultaneously, so this probability is the sum of each probability.
0.11 = 11% probability that an attendee sits in on the information technology session
0.62 = 62% probability that an attendee sits in on the social media session
0.11 + 0.62 = 0.73
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
2)Kendra is 3 times her daughter's age plus 7 years, Kendra is 49 years old. Write an equation to find her daughter's age. (2)
Answer:
Equation: 49 = 3x + 7
Answer: x = 14
Step-by-step explanation:
Let Kendra's daughter's age be denoted by the variable, x.
Set the equation. Note that:
Kendra is 49 years old.
Kendra is 3 times her daughter's age (x) plus 7 years.
Equation: 49 = 3x + 7
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 7 from both sides of the equation:
49 (-7) = 3x + 7 (-7)
49 - 7 = 3x
42 = 3x
Next, divide 3 from both sides of the equation:
(42)/3 = (3x)/3
x = 42/3
x = 14
14 is your answer.
~
The eccentricity of the conic
section shown is?
Answer: The eccentricity of the conic section shown in the given picture = 0
Step-by-step explanation:
The eccentricity of a conic is measure to determine how un-circle a conic section.
In the given picture, we have a circle.
A circle has an eccentricity of zero.
Therefore, the eccentricity of the conic section shown in the given picture = 0
Normal distribution: Area between two points You might need: Calculator, Z table A set of mathematics exam scores are normally distributed with a mean of 80.2 points and a standard deviation of 4 points What proportion of exam scores are between 82 and 85.6 points? You may round your answer to four decimal places.
Answer: .2379
Step-by-step explanation:
Answer: 0.2379
Step-by-step explanation:
0.9115 - 0.6736 = 0.2379
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE WILL GIVE BRAINLIST
Answer:
A
Step-by-step explanation:
Hey There!
So the first thing that we want to do is find the formula for volume of a pyramid
[tex]V=\frac{lwh}{3}[/tex]
l = length
w = width
h = height this is a square pyramid so if the length is 8 then the width is 8
So all we have to do now knowing the formula is plug in the values
[tex]V=\frac{8*8*9}{3} \\8*8=64\\V=\frac{64*9}{3} \\64*9=576\\V=\frac{576}{3} \\\frac{576}{3} =192\\[/tex]
So we can conclude that the volume of the square pyramid is 192
hope this helps :)
Answer:
198
Step-by-step explanation:
V= a^2 h/3 = 8^2 x 9/3 = 192
Or
Volume = The base edge squared multiplied by the height divided by three. Which would convert to-
Volume = 8^2 x 9/3 = 192
I’m getting brainlest
Answer:
Female
Step-by-step explanation:
...look at those numbers dude
WILL MARK BRAINLEST HELPP ME
Answer:
Supplimentry
Step-by-step explanation:
MATH PEOPLE HELP ITS LEAST TO GREATEST
Answer:
18/25, 17/20, -10
Step-by-step explanation:
3x + 2 + 11x
It must be simplified
Answer:
14x+2
Step-by-step explanation:
3x+11x = 14x then +2 is left over so it's 14x+2
"The director of special events for Sun City believed that the amount of money spent on fireworks displays for the Fourth of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion.
4th of July ($000) Fall Festival (000) 4th of July ($000) Fall Festival (000)
8.0 6.8 12.0 9.5
6.0 6.4 7.5 10.4
12.0 11.6 9.0 6.6
10.5 10.2 10.6 10.1
8.5 6.0 10.0 6.1
12.5 11.1 7.5 9.0
9.0 7.5 10.0 12.6
5.5 8.4
a-1. Compute and report the regression equation that predicts "fall festival attendance" with "amount spent on Fourth of July fireworks". (Round your answers to 2 decimal places.)
a-2. Report the coefficient of determination. (Round your answer to 2 decimal places.) %
a-3. Interpret the regression coefficient. (Round your answer to 4 decimal places.)
b. Evaluate the regression assumptions based on an analysis of the residuals .
The regression assumptions based on an analysis of the residuals is_______.
Answer:
ŷ = 0.52X + 3.99 ;
0.26 ;
0.5123
Step-by-step explanation:
4th of July :
8.0
6.0
12.0
10.5
8.5
12.5
9.0
5.5
12.0
7.5
9.0
10.6
10.0
7.5
10.0
Fall festival :
6.8
6.4
11.6
10.2
6.0
11.1
7.5
8.4
9.5
10.4
6.6
10.1
6.1
9.0
12.6
Using technology, the regression equation which predicts fall festival attendance with amount spent on 4th of July fireworks is ;
ŷ = 0.52X + 3.99
Coefficient of determination ; R² is 0.26
This means that about 26% of variation in the fall festival attendance is explained by the regression line.
The regression Coefficient, R = sqrt(R²) = sqrt(0.2625) = 0.5123
This depicts that a faiy strong positive correlation exists between the amount spent on 4th July fireworks and the fall festival attendance.
What is the product of (3+square root of 7)(3-square root of 7)
( 3 + √ 7 ) ( 3 − √ 7 ) = 2 Explanation: You can simplify this expression by using the formula for the difference of squares a 2 − b 2 = ( a − b ) ( a + b ) In your case, you ca say that a = 3 and b = √ 7 . This means that you have ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 2 − ( √ 7 ) 2 = 9 − 7 = 2 Alternatively, if you don't know the formula for the difference of squares, you can rewrite this expression by expanding the parantheses ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 ⋅ 3 − 3 ⋅ √ 7 + 3 ⋅ √ 7 − √ 7 ⋅ √ 7 Once again, the result will be 3 ⋅ 3 − √ 7 ⋅ √ 7 = 3 2 − 7 = 2
Determine the slope of the line that has the following coordinates: (0, -3) (2, 1)
5
Answer:
Step-by-step explanation:
The slope of a line, m, is defined as
m=(y2-y1)/(x2-x1)
In this case we have points (0,-3) and (2,1) so
m=(1-(-3))/(2-0)
m=4/2
m=2
So the slope of the line is 2
3x + 6 = -9 What is X?
Answer:
x=-5
Step-by-step explanation:
3x+6=-9
-6 -6
3x=-15
x=-5
Answer:
= − 5
Step-by-step explanation:
The steps are in the (2) pictures below. Hope this helps!
Pam’s Pet Supply Palooza buys bags of dog food (m) directly from the manufacturer at a 50% discount off the original market price. Pam then sells each bag of dog food at a price that is 3 times the amount that she paid for it.
Which expression correctly represents the cost of a bag of dog food to the customer in terms of (m), the original market price? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK. DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER OR DO NOT HAVE PROOF TO BACK YOUR ANSWER UP!!)
A. 0.5m
B. 1.5m
C. 3m
D. 3.5m
Answer:
[tex]Selling\ Price = 1.5m[/tex]
Step-by-step explanation:
Given
[tex]Market\ Price = m[/tex]
[tex]Discount = 50\%[/tex]
Selling Price = 3 * Amount she paid
Required
Determine the selling price
If she gets a discount of 50%, then she pays 50% (i.e. 100 - 50%).
So, the amount she paid is:
[tex]Amount = 50\% * Market\ Price[/tex]
[tex]Amount = 50\% * m[/tex]
[tex]Amount = 0.5* m[/tex]
[tex]Amount = 0.5m[/tex]
She sells at three times that amount.
So, the selling price is:
[tex]Selling\ Price = 3 * 0.5m[/tex]
[tex]Selling\ Price = 1.5m[/tex]
Please please help me ASAP
Answer:
There are 12 sections on the spinner, and out of the 12 sections, 5 of them are red.
If he spins the spinner 48 times, he should expect 5x4, or 20 of the spins to land on red.
Let me know if this helps!
Fourteen students in Mr. Burton’s class are girls. This is 60% of his class. How many students are in his class?
Answer:
12
Step-by-step explanation:
Find each sum
56 + (-56)
Answer:
the answer is zero
56 + (-56)
Answer: the answer is 0, 130, -9.9 hope this helps. Can u pls give me brainliest
Step-by-step explanation:
9. What is the volume of this cube? (2 pts.) Show your work here.
Answer:
Volume = 27 cubic units
Step-by-step explanation:
First, the formula of volume is l x h x w.
Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.
Hope this helps!
Betty walks her neighbor's dog for $25 a week. If she walks the dog twice a day, how much does she make each time she walks the dog?
Answer:
$350
Step-by-step explanation: There are 7 days in a week- if she walks the dog two times in a day, that would be 14 times $25. The answer would be $350.
Answer About $1.78 every time she walkes her dog.
Step-by-step explanation: Since their are seven days in a week and she walks her dog twice a day you multiply 7x2 which is 14 and then 25 divided by 14 is 1.78. you can check this by doing 1.78x14 which gets you 24.92.
:0
helpppppp ill give brainliest answer if you know
Answer:
522.67
Step-by-step explanation:
Base area= 196
Height= 8
put it into the formula
V= 1/3*196*8
196*8= 1,568
1,568*1/3= 522.67
hope this helps <3
I really need help!!!! Please!!! I’ll give you brainliest!!
Using the figure below, what is the trigonometric ratio of sin C?
Answer:
4/5 (choice b)
Step-by-step explanation:
sin C = opposite side / hypotenuse side
opposite C = 16
adjacent C = 12
hypotenuse C = 20
sin C = 16 / 20 = 4 / 5
The length of a table is 8 feet. One a scale drawing, the length is 2 inches. Martin says the scale is 1 inch: 3 feet. Is he correct? (Explain)
I'm doing what u do u get free points off other people questians
I need helps with this
I need help with number 5 and number 10 please
What is the quotient? 2 25 5 1 10 0-22 11 50 11 50 022
If your struggling with this is how you do it a quotient is the answer to a division problem. The divisor is the number of parts you divide the dividend by. The dividend is the number you are dividing.
Example: 12 ÷ 3 = 4, 4 is the quotient
Hope it helps!!!
Answer:
Step-by-step explanation:
I am in 6 grade I have tried to answer this but could not, I hop u find someone that will answer this for you.
find the slope of the line through the points (10,6) and (-1,8)
Answer:
-2/11
Step-by-step explanation:
In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent
Write form for student population
Estimate population in 2020
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
It takes Sam 3 hours to rake the front lawn while his brother, Dave, can rake the lawn in 5 hours. How long will it take them to rake the lawn working together? Round to the nearest tenth.
Answer:
3 hours + 5hours = 8 hours ÷ 2 =
4 hours is your answer.
Step-by-step explanation:
If you have 2 people working and need to know how long it would take them to finish a job. Working together on the same job, you add each of their total hours to do the job alone,, 5 + 3 = 8, then divide the 8 by 2 people
equals 4 hours for 2 people on 1 job.
ILL GIVE YOU BRAINLIEST (SMART MATH PERSON!)
the coordinates for a rhombus are given as (2a,0),(0,2b),(-2a,0) and (0,-2b) write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using coordinate geometry be sure to include the formulas
Answer:
A - (2a+0)/2 ; (2b+0)/2 = ( a , b )
B - (-2a+0)/2 ; (2b+0)/2 = ( - a, b )
C - (-2a+0)/2 ; ( -2b+0)/2 = ( - a, - b )
D - (2 a+0)/2 ; (-2b+0)/2 = ( a , - b )
Step-by-step explanation: