Answer:
126°
Step-by-step explanation:
First you need to find the 3rd inside angle.
72+54+x=180
126+x=180
x=54
Once you have the 3rd inner angle, you can take 180 and subtract it from it so you would have 180-54 which is 126
Use the normal distribution to compute probability with technology - Calculator Question Suppose that the annual household income in a region is normally distributed with mean $25,000 and standard deviation $6,000. If the poverty level for the region is at or below $12,000, what percentage of the population lives in poverty? • Round your answer to two decimal places.
Answer:
0.02
Step-by-step explanation:
Given a normal distribution :
Mean income (m) = 25000
Standard deviation of income (s) = 6000
X ≥ 12000
Using the relation to fund the standardized score :
Zscore =(x - m) / s
Zscore = ( 12000 - 25000) / 6000
Zscore = -13000 / 6000
Zscore = - 2.167
Using a z probability calculator :
P(Z ≤ - 2.167) = 0.015117
= 0.02
Complete the proof Prove: angle UWX = angle UWV
Answer:
Step-by-step explanation:
Statements Reasons
1). UW bisects ∠VUX 1). Given
2). UW bisects ∠VWX 2). Given
3). ∠VUW = ∠WUX 3). Definition of angle bisector
4). ∠UWV = ∠UWX 4). Definition of angle bisector
5). UW = UW 5). Reflexive property of congruence
6). ΔUWX ≅ ΔUWV 6). ASA postulate of congruence
What’s the slope intercept equation
Answer:
y=mx + b
Step-by-step explanation:
y= y intercept coordinate
m=slope=x coordinate
b = y intercept
Clara’s school awarded 1900 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive an iPad pro. Clara received 5 tickets for good attendance, 4 for making the honor roll, and 8 for tutoring other students.
What is the probability that one of Clara’s tickets will be selected by the principal? (write your answer as a %, once it is in % form round to the hundredths place)
Answer:
0.89%
Step-by-step explanation:
Given that :
Total number of raffle tickets = 1900
Total number of Clara's tickets (5 + 4 + 8) = 17
Probability that one of Clara's tickets will be picked :
Probability = (required outcome / Total possible outcomes)
Required outcome = total number of Clara's ticket
Total possible outcomes = total number of raffle tickets
Hence,
P(picking one of Clara's tickets) = 17 / 1900
17 / 1900 = 0.0089473
0.0089473 * 100%
= 0.8947%
= 0.89%
A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? * PLZZ help!!
Help plz I really need it
Answer:
here up I have upload photosGreta mails 4 postcards on Monday, Wednesday, and Friday. She mails 5 postcards on Tuesday and Thursday and no postcards Saturday or Sunday. She believes that she will mail over 200 postcards if she does this for the entire 12 weeks that she is studying abroad.
Which are reasonable estimates for the number of postcards that Greta mails? Check all that apply.
60
120
200
220
240
How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as mine is at least 2/3?
Answer:
At least 401 chosen guests
Step-by-step explanation:
Represent those with same birth day with Same
So:
[tex]P(Same) > \frac{2}{3}[/tex]
Represent number of people with n
There are 365 days in a year and 364 days out of these days is not your birthday.
So, there the probability that n people do not share your birthday is [tex](\frac{364}{365})^n[/tex]
i.e.
[tex]P(none) = (\frac{364}{365})^n[/tex]
Solving further, we have that:
[tex]P(same) + P(none) = 1[/tex]
[tex]P(same) + (\frac{364}{365})^n = 1[/tex]
[tex]P(same) = 1 - (\frac{364}{365})^n[/tex]
We're calculating the probability that [tex]P(Same) > \frac{2}{3}[/tex].
So, we have:
[tex]1 - (\frac{364}{365})^n > \frac{2}{3}[/tex]
Collect Like Terms
[tex]1 - \frac{2}{3}> (\frac{364}{365})^n[/tex]
[tex]\frac{3-2}{3}> (\frac{364}{365})^n[/tex]
[tex]\frac{1}{3}> (\frac{364}{365})^n[/tex]
[tex]3^{-1} > (\frac{364}{365})^n[/tex]
Take natural logarithm (ln) of both sides
[tex]ln(3^{-1}) > ln((\frac{364}{365})^n)[/tex]
[tex]-ln\ 3 > n\ ln\ (\frac{364}{365})[/tex]
Apply laws of logarithm
[tex]-ln\ 3 > n\ (ln(364) - ln(365))[/tex]
Multiply through by -1
[tex]ln\ 3 < n\ (ln(365) - ln(364))[/tex]
Solve for n
[tex]\frac{ln\ 3}{(ln(365) - ln(364))} < n[/tex]
Reorder
[tex]n > \frac{ln\ 3}{(ln(365) - ln(364))}[/tex]
[tex]n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}[/tex]
[tex]n> \frac{1.09861228867}{0.00274348594}[/tex]
[tex]n > 400.443928891[/tex]
[tex]n > 400[/tex] (approximated)
This implies that n = 401, 402, 403 .....
i.e
[tex]n \geq 401[/tex]
So, at least 401 people has to be invited
Jonathan pays $1.90 per pound for potatoes. He buys 8.3 pounds of potatoes. He determines that he will pay $15.77, before tax, for the potatoes. Which best describes the reasonableness of Jonathan’s solution?
Jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product.
Jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product.
Jonathan’s answer is reasonable because 2 times 8 is 16, and 16 is close to 15.77.
Jonathan’s answer is unreasonable because 1 times 8 is 8, and 8 is not very close to 15.77.
Answer:here is the right answer took the test and got it right trust and believe Jonathan’s answer is reasonable because is 16, and 16 is close to 15.77.
Step-by-step explanation:
what’s the nth term of -5,-4,-1,4,11,20,31
Answer:
The nth term is n + odd numbers
Thank you and please rate me as brainliest as it will help me to level up
the first six multiples of 6
Prove or give a counterexample: Every positive integer can be expressed as the sum of three or fewer perfect squares. (A perfect square is an integer n for which there is an integer k with the property: n
Answer:
Statement is incorrect
Step-by-step explanation:
Every positive integer cannot be expressed as the sum of three or fewer perfect squares.
Supposing the number 7 only squares less than are 0, 1 and 4
Clearly 7 can not be written using three or fewer of these numbers
It is proved
By taking Cube root of 7
[tex]\sqrt[3]{7}[/tex] = 1.912931183
Now By taking
[tex]\sqrt{7}[/tex] = 2.64575131
So both values 1.912931183 and 2.64575131 are not positive integers.
Hence the statement is incorrect.
Which expression is modeled by this arrangement of tiles?
A. -40÷10
B. 40÷(-10)
C. 40÷10
D. 40÷40
Answer:
c
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Please turn the sentence into an expression
3. twelve more than the sum of ten and a
number
Answer:
Do U-Turn
Step-by-step explanation:
Step-by-step explanation:
12+(10+x)
I hope this helps
What is the measure of 1 Explain
Answer:
what measure one
Step-by-step explanation:
What are u talking bout
There is no picture or anything
Answer:
I wish I could help.
Step-by-step explanation:
There is no picture or a complex explanation.
Perform the indicated operation.
(4g²-9) ÷ (2g-3)
A. 2g-3
B. 2g+3
C. 2g+3 R 18
Answer:
Solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3
Option B is correct.
Step-by-step explanation:
We need to solve [tex](4g^2-9) \div (2g-3)[/tex]
We know that [tex]a^2-b^2=(a-b)(a+b)[/tex]
So, [tex]4g^2-9[/tex] can be written as [tex](2g)^2-(3)^2[/tex]
So, using above formula we will get:
[tex]4g^2-9\\=(2g^2)-(3)^2 \\Using \ formula a^2-b^2 = (a-b)(a+b)\\=(2g-3)(2g+3)[/tex]
So, numerator will become
[tex]\frac{(2g-3)(2g+3)}{(2g-3)} \\Simplifying:\\=2g+3[/tex]
So, solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3
Option B is correct.
A pair of shoes was $5 but is now on sale for
$4. What is the percent discount?
Answer:
20%
Step-by-step explanation:
i actually dont know sorry :(
Answer:
20% discount
Step-by-step explanation:
4/5 = 80%
5/5 - 4/5 = 1/5
1/5 = 20%
Find the equation of the line.
The line is perpendicular to y = 1/2x +5 and passes through the point (4,7).
The equation of the line is: y =
Answer:
y=-2x+15
Step-by-step explanation
A perpendicular line always has the opposite reciprocal slope of the line it is 90 degrees from.
Since the slope of the other line is 1/2, the slope of this line must be -2. And with the slope of a line -2 with point (4,7), you can start plugging in numbers.
y=-2x+b
7= -2(4)+b
7= -8+b
15=b
Therefore, the equation of the line is y=-2x+15
what is 3/4 + 1/2 and what is 1/3 + 11/48 in simplest form and a mixed number
Answer:
1) 5/4 or 1 1/4
2) 9/16
Step-by-step explanation:
3/4+1/2: you multiply 1/2 by 2 to get a common denominator then get 2/4, 3+2=5, 5/4 or 1 1/4
1/3+11/48: you multiply 1/3 by 16 to get common denominator & get 16/48, 16+11= 27/48, divide by 3 & get simplest form of 9/16
Answer:
3/4+1/2= 1 5/8 and 1/3+11/48 is not a mixed number 9/16
Step-by-step explanation:
I Need Helpp PLZZ i will mark as brainliest
Answer:
9x+18Reasoning:
You multiply x by 9 and 2 by 9 and it expands out from 9(x+2) to 9x+18
I hope this helps and good luck!
Answer:
9x + 18
Step-by-step explanation:
9 times x = 9x
9 x 2 = 18
if matt's average speed was 8 km/hr how far did he travel in 15 minutes
Answer:
2km
Step-by-step explanation:
8km/h×15minutes÷60minutes=2km
Which recursive formula defines the sequence?
f(1) = 6, f(4) = 12, f(7) = 18
Step-by-step explanation:
The part of a cylindrical soup can that is covered by the label is 8.5 cm tall and has a diameter of 6.5 cm. What is the area of a label that covers the entire side of the can and that need a 0.8-cm overlap to glue the ends of the label? Round to the nearest tenth.
Answer:
[tex]180.4~cm^2[/tex]
Step-by-step explanation:
Surface Area
The surface area of a cylinder of height h and radius r is given by:
[tex]A=2\pi rh[/tex]
It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:
[tex]A=2\pi rh+2\pi r^2[/tex]
The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.
Now we calculate the side area of the can:
[tex]A=2\pi (3.25)(8.5)[/tex]
[tex]A=173.6~cm^2[/tex]
We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:
[tex]A_o= 0.8*8.5=6.8~cm^2[/tex]
The total area of the label is:
[tex]A=173.6~cm^2+6.8~cm^2=180.4~cm^2[/tex]
The area of the label is [tex]\mathbf{180.4~cm^2}[/tex]
A pizzeria charges $4 per slice of pizza, plus an additional $0.50 per topping. If Erica has at most $13.50 to spend on her pizza, how many toppings could she get on ONE slice of pizza? Write an inequality expression that represents the situation and solve! Explain your reasoning
Answer:
19 topings
t=(13.5-4)/.5
Step-by-step explanation:
13.5-4
=9.5
9.5/.5
=19
Y=-5x+2 fill in the table using this function rule
X Y
-6 4
-3 1
0 6
3 -9
That’s the real answer
The required table will be:
X Y
-6 32
-3 17
0 2
3 -13
Since we are not given the x - values, let the x values be -6, -3, 0 and 3
Given the function of y with respect to x;
y = -5x + 2
We need to get all the y-values for the given values of x as shown;
If x = -6
y = -5 (-6) + 2
y = 30 + 2
y = 32
If x = -3
y = -5 (-3) + 2
y = 15 + 2
y = 17
If x = 0
y = -5 (0) + 2
y = 0 + 2
y = 2
If x = 3
y = -5 (3) + 2
y = -15 + 2
y = -13
Hence the required table will be:
X Y
-6 32
-3 17
0 2
3 -13
Learn more here: https://brainly.com/question/15011804
PLS HELP MEEEEEE
Two babysitters have the following price schedules: Susan charges $5 per hour plus a $2 base fee. Sarah charges $7 per hour. Use graphing to find the point where the two
will charge the same amount.
Answer:
hhhhhhhhhhhhhhhhhhjhhhhhhhhh
A rectangular solar panel has a length of 11 inches shorter than 4 times it’s width if the perimeter of the panel is 218 inches what are the dimensions of the panel
Can anyone please help with this problem ASAP ?
Answer:
4 would be $55.00 and 8 would be $75.00
I need help on this one
I NEED HELP WITH B AND E