Answers
============================================================
Explanation:
The square marker indicates a 90 degree, or right angle.
The two smaller angles (3x and 75) both combine to the larger 90 degree angle. That's what it means when they say we have complementary angles.
Add up the smaller angles, set the sum equal to 90, and solve for x.
3x+75 = 90
3x+75-75 = 90-75 ....... subtracting 75 from both sides
3x = 15
3x/3 = 15/3 ..... divide both sides by 3
x = 5
---------------
If x = 5, then 3x = 3*5 = 15
Then we can see that 15+75 = 90 to help check our answer.
Related Questions
X is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability of randomly sampling a score from X and having it be greater than or equal to 126
Answers
Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:
[tex]Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...[/tex]
Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!
2. It costs Shermano's pizza $2 to make a pizza, if the markup is 550%.
what is the selling price for a pizza? *
Answers
But it could also possibly be 2.00 • 5.5 = 11 + 2 = 13.00
Plz help me solve this!!-
Amy drove her hoverboard 3 miles in 40 minutes. Jim hopped 2 miles in 20 minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer
Answers
Answer:
Amy traveled at 4.5 mph, while Jim traveled at 6 mph. Therefore, Jim traveled at a greater average speed.
Step-by-step explanation:
Given that Amy drove her hoverboard 3 miles in 40 minutes, while Jim hopped 2 miles in 20 minutes, to determine who traveled at a greater average speed, the following calculation must be performed:
(3/40) x 60 = Amy's speed
0.075 x 60 = Amy's speed
4.5 = Amy's speed
So Amy traveled 4.5 miles per hour.
(2/20) x 60 = Jim's speed
0.1 x 60 = Jim's velocity
6 = Jim's speed
Instead, Jim traveled 6 miles per hour.
Therefore, Jim was the one who traveled at a greater average speed.
simplify the expression 3(6/5x+4y+6)-2(9/5x+8y+3)
Answers
Answer:
-20(y-3)/3
Step-by-step explanation:
The expression can be written simplified as 6x - 4y + 12.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given as:
3(6/5x+4y+6)-2(9/5x+8y+3)
To simplify the expression, we need to use the rules of algebra to combine like terms and perform the necessary operations in the correct order.
First, we can distribute the 3 and the -2 to the terms inside the parentheses:
3(6/5x+4y+6) - 2(9/5x+8y+3)
= 18/5x + 12y + 18 - 18/5x - 16y - 6
Next, we can combine like terms:
= 18/5x - 18/5x + 12y - 16y + 18 - 6
= 6/5x - 4y + 12
Finally, we can simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 1:
= (6/1) / (5/1)x - 4y + 12
= 6x - 4y + 12
Therefore, the simplified expression is 6x - 4y + 12.
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Translate and solve: −5 times b is no less than −35.
William is thinking of a number, n and he wants his sister to guess the number. His first clue is that five less than two times his number is at least negative three and at most fifteen. Write and solve a compound inequality that shows the range of numbers that William might be thinking of.
Answers
Answer:
-3[tex]\leq \\[/tex]2n-5[tex]\leq[/tex]15
Step-by-step explanation:
2n-5 at least -3, at most 158x+5y=24
y=−4x
show work please
Answers
Answer:
(-2, 8)
Step-by-step explanation:
8x + 5y = 24
8x + 5(-4x) = 24
8x + -20x = 24
-12x = 24
-12x/-12 = 24/-12
x = -2
----------------------------
y = -4(-2)
y = 8
--------------------------
8(-2) + 5(8) = 24
-16 + 40 = 24
24 = 24
1. The average police office writes 40 tickets each week (with a standard deviation of 12). If the number of tickets a police officer writes in a week is normally distributed, what is the probability that an officer writes more than 60 tickets in a week?
Answers
Answer:
3/5
Step-by-step explanation:
find the logarism of 6395
Answers
Answer:
this is clear that answer
Use the given information to solve for x and y
Answers
Answer:
x = 10 and y = 7
Step-by-step explanation:
Equalateral triangle means all sides are equal.
x = 10, easy
make y + 3 = 10
y = 7
Easy, no real math needed. lol
The price of parking for 2 hours or less at the airport is increasing
from $2.50 to $5.00. What is the percent of price increase?
Answers
Answer:
it increased 50%
Step-by-step explanation:
5 / 2.5 = 2
100 / 2 = 50%
Answer:
50% increase
Step-by-step explanation:
half of 5.00 is 2.50
please solve and receive brain list
Answers
Answer:
1 and 1
Step-by-step explanation:
Answer:
x = 1 and y = 1
Step-by-step explanation:
This is a system of equations. To solve it, you need to get one of your variables by itself first. (that means getting the x, or y by itself, just like how you solve equations when you only need to solve for one variable). I decided to solve the first equation, which is -x - 2y = -3 I'll solve it for the x, since there is no number being multiplied to it.
A motor cyclist completes a journey at an average speed of 65 mph in 3½ hours. Calculate the distance travelled.
Answers
Answer:
227.5
Step-by-step explanation:
65 mhp
after 3.5 h
Just multiply
65 x 3.5 = 227.5
Answer:
227.5
Step-by-step explanation:
multiply 65 mph to 3 1/2 [3.5 (estimated)] to calculate the distanbce travelled
8 miles is approximately 6 kilometers. How many kilometers is equal to 40 miles?
Answers
Answer:
30 kilometers
Step-by-step explanation:
40 miles------> x kilometers
8x = 6×40
8x = 240
x= 30 kilometers
40 miles = 30 kilometers
a wheel makes 20 revolutions per min. how many revolutions does it make per second? type and integer or simplified fraction.
Answers
1/3
Step by step:
Since the wheel is rotating at 20 revolutions per minute, to find the amount of rev’s per second would go as follows:
20/min = ?/second
convert each denominator to numerical form referring to seconds
20/60 = ?/1
Simplify
1/3 = ?/1
Find value of ?
1/3 = (1/3)/1
Simplify both sides completely
1/3 = 1/3
1/3
Answer:
1200 revolutions per second
Step-by-step explanation:
60 seconds per minute so multiply 60 x 20 to get 1,200
If a family has 8 children , in how many ways could the parents have 5 boys and 3 girls
Answers
That depends on what you mean by a "way" of having children. Some of the more obvious answers: One. Four boys and four girls, there's no other way of getting that many boys or that many girls. 40320. Usually each child has its own distinct DNA. The information in DNA can be converted into a number, and there are 8-factorial = 8! = 40320 orderings for eight numbers. 70. If each boy is considered to be the same until it is born and then named, so that the first four boys will always be named the same way and the same for the girls, then you can find the number of ways using binomial coefficients. The number of ways of arranging four equal boys and four equal girls into an order, is the same as the number of ways of choosing four numbers from 1 to 8 representing the position of the boys in that order. The number of ways of choosing a set of 4 numbers from 8 is called "8 choose 4" sometimes written 8C4 and is calculated as (8*7*6*5)/(4*3*2*1) (The numererator product in nCr stops when you have r numbers) (8*7*6*5)/(4*3*2*1) = 70
Answer:
As parents have 5b and 3 g
so if we add them it becomes 8
hence family has 8 children
5. Amy, Beth and Colin share some sweets in the ratio 2:3:4
Amy received 8 sweets.
Work out the number of sweets Beth receives.
Answers
Answer:
let the rati be x
2x=8
x=4sweets
beth=3x=3×8=24 sweets
Step-by-step explanation:
plz make me brainliest
The list of individuals from which a sample is actually selected is called the sampling frame. Ideally, the sampling frame should list every individual in the population, but in practice this is often difficult. A sampling frame that leaves out part of the population is a common source of undercoverage. In the following questions select all choices that apply; to receive credit for the question you must select all the correct choices and only the correct choices.
Question 1. A pollster wants to select a random sample of households in a particular community. The pollster randomly selects a sample of households in the community from the community telephone directory available in the public library. What households are omitted from this sampling frame?
1. Households that connect to the internet with their phone line.
2. Households that possess only cellphones Households with a second line for the fax machine.
3. Households that have moved into the community since the most recent community telephone directory was printed.
4. Households with unlisted numbers. Households with more than one line. Poor households (cannot afford a phone)
5. Households without telephones.
Question 2. What types of people do you think are most likely to live in the omitted households selected in question 1?
1. These people will probably be underrepresented in the sample. lower income people (cannot afford a phone)
2. people who choose not to list their numbers people who choose not to have phones
3. people who graduated from UNC-Chapel Hill
4. jobless people who have moved into the community to look for employment since the most recent community telephone directory was printed
5. people who drive hybrid automobiles high income people
Question 3. It is usual in telephone surveys to use random dialing equipment that selects the last four digits of a telephone number at random after being given the land-line exchange (the first three digits; note that cell phone exchanges differ from land-line exchanges). Which of the households you selected in Question 1 above will be included in this sampling frame by random digit dialing?
1. Households that possess only cellphones Poor households (cannot afford a phone)
2. Households with unlisted numbers
3. Households without telephones
4. Households with land-line telephones that have moved into the community since the most recent community telephone directory was printed.
Answers
Answer:
Question 1:
2. Households that possess only cellphones. 5. Households without telephones.As the pollster used the telephone directory, they will get the numbers of listed people in that community. Cellphones are not listed along with households with telephones so these will be underrepresented.
Question 2:
1. Lower income people (cannot afford a phone).2. people who choose not to list their numbers people who choose not to have phones.Question 3:
2. Households with unlisted numbers 4. Households with land-line telephones that have moved into the community since the most recent community telephone directory was printed.Households with unlisted numbers will still be called because the person is using random dialling which means that even if the number is not listed, it can still be called. Households with landlines will most definitely be reachable as well.
Using eight eights and addition only, can you make 1000?
Answers
Answer:
888 + 88 + 8 + 8 + 8 = 1000
simple
Will mark brainlist please help geometry
Answers
9514 1404 393
Answer:
ΔPRQ ≅ ΔVWX
Step-by-step explanation:
ASA means the corresponding side lies between the two corresponding angles. That is true for triangles PRQ and VWX.
We chose to name the triangles starting with the angle marked with the single arc, then the angle marked with the double arc. They can be named using any permutation of the letters, provided that the same correspondence is achieved between the two names.
Anna purchased a phone with a rectangular screen that measures 6,5 centimeters in width and 12 centimeters in length. She wants to know the diagonal measure of
the screen. Round your answer to the nearest tenth of a centimeter
6.5 cm
12 cm
Answers
Answer:
78? pls correct me if I'm wrong
Step-by-step explanation:
Length times Width equals Area.
6.5×12=78
Answer:
anywhere within 13.5 < cm < 14.5 ie) 13.7cm
Step-by-step explanation:
Pythagoras for all diagonals or right angle sides.
12^2 + 6.5^2 = c^2
sqrt 144 + sq rt 42.25 = c^2
c^2 = sq rt 186.25 = 13.6473441 = 13.7cm
nearest 10th of a cm = 13.5<cm<14.5
I need help with math the question is What area of a square whose sides measure 3 feet?
A.12 square feet
B. 6 square feet
C. 9 square feet
D. 18 square feet
Answers
Answer:
c
Step-by-step explanation:
Since area is lw 3*3=9
help me plz someone ...
Answers
Because the square root of 10 is 3.16227766017 and 3.1 is closest to that
Answer:
f
Step-by-step explanation:
Ron sells bananas for $0.60 each. How many bananas did Ron sell if he made $150.00, after taking off $39.00 for his banana stand rental?
Answers
Let’s find the total amount of money he made (before the rental fee)
$150 + $39 = $189
To find how much bananas he sold, let’s divide the total money he made, 189 dollars, by the price of a banana, 0.60 dollars.
189 divided by 0.60 = 315 bananas
He sold 315 bananas.
The number of bananas that Ron sold is 315.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Cost for a banana = $0.60
Also given, he made $150.00, after taking off $39.00 for his banana stand rental.
Total amount of money that Ron made by selling the bananas = $150 + $39 = $189
Number of bananas sold = 189 / 0.6
= 315
Hence Ron sold 315 bananas.
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what is the constant of proportionality in y=3 and x=46.50
plsssssssss help its for homework
Answers
Answer:
58y is the correct answer to this question
What is the sum? 3x^2-2x-1/x-5+-2x^2+x-5/x-5
Answers
Answer: 5(1-x) over x
Step-by-step explanation: Combine the rational expressions using the least common denominator (LCD).
find the number n of hours you need to study on Saturday so that mean number of hours you study per day is 1.5
Days Hours
Sunday 0
Monday 1.5
Tuesday 2.5
Wednesday 2.5
Thursday 3
Friday 0
Sunday N
Answers
Answer:
1 hour
Step-by-step explanation:
We are given that
Day Hours
Sunday 0
Monday 1.5
Tuesday 2.5
Wednesday 2.5
Thursday 3
Friday 0
Saturday n
Mean number of hours of study per day=1.5
Mean=[tex]\frac{sum\;of\;data\;}{total\;number\;of\;data\;points}[/tex]
Total number of days=7
Using the formula
[tex]1.5=\frac{0+1.5+2.5+2.5+3+0+n}{7}[/tex]
[tex]1.5\times 7=9.5+n[/tex]
[tex]10.5-9.5=n[/tex]
[tex]n=1[/tex]
Hence, number of hours you need to study on Saturday=n=1
1 - 2x + 5 = 4x - 3
solve
Answers
Answer:
3/2
Step-by-step explanation:
1-2x+5=4x-3
1-2x-4x+5=-3
1-6x+5=-3
-6x+6=-3
-6x=-3-6
-6x=-9
6x=9
x=9/6
simplify
x=3/2
Answer:
x=1.5
Step-by-step explanation:
combining everything: -2x+6=4x-3
adding 2x to both sides, you get
6=6x-3
add 3 to both sides, you get 9=6x
divide, and then you get 1.5
uwu
Write an expression that is equivalent to 27e+24
Answers
Hope this helps
Have a great day
If you want me to explain I can
Answer:
3(9e+8)
Step-by-step explanation:
I hope this helps
A set of 6 number cards contain the numbers 2, 5, 7, 8, 9, and 11. Which ratio is less than the ratio of odd number cards to total cards in this set?
Answers
Answer:
[tex]Ratio = 2:3[/tex]
Step-by-step explanation:
Given
[tex]Cards = \{2,5,7,8,9,11\}[/tex]
Required
Ratio of odd numbers to total
First, list out the odd numbers
[tex]Odd = \{5,7,9,11\}[/tex]
The card has 4 odd numbers out of a total of 6.
So, the ratio is:
[tex]Ratio = Odd : Total[/tex]
[tex]Ratio = 4:6[/tex]
Divide by 2
[tex]Ratio = 2:3[/tex]
Hence, the ratio of odd to total is 2 to 3
if cos theta = 3/5, then tan theta =
Answers
Step-by-step explanation:
cos theta=3/5
theta=53.13°
tan theta =1.33