(30 points)
in the figure AB/CD. What are the values of x and y?
A: x=32, y=140
b: x=140, y=52
c: x=52, y=140
d: x=38, y=154
Answer:
C.
Step-by-step explanation:
interior angles for ABCD is 360° and for ABO(triangle above) is 180°
from triangle,
you will get angle for OBA which is 180° - 38° - 90° = 52°
from angle B, we know that, straight line is 180°.
so,
180° = 52° +y- 12°
y = 140°
so, we can calculate x.
360° = 90° + 90° + 128° + x
x = 52°
The program manager for an amateur performance night auditioned 12 acts, but there is only room for 3 acts on the program. How many different ways can the program manager arrange 3 different acts from the original 12
Answer:
There are 220 different ways to arrange the acts.
Step-by-step explanation:
The order in which the acts are arranged is not important, so we use the combinations formula to solve this question.
Combinations Formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different ways can the program manager arrange 3 different acts from the original 12
Three acts from a set of 12. So
[tex]C_{12,3} = \frac{12!}{3!(12-9)!} = 220[/tex]
There are 220 different ways to arrange the acts.
The flag starts at 0 and moves 8 feet right to
on the number line. Then the flag moves 12 feet left to
on the number line. Then the flag moves 13 feet right to
on the number line. Nine is less than 10.
What is the value of these coins?
Answer:
$2.39
Step-by-step explanation:
4 pennies=4
2 nickels=10
10 dimes=100
5 quarters=125
$2.39
Answer:like $2.39
Step-by-step explanation:
Find the slope of the line graphed below.
Answer:
m=3/4
Step-by-step explanation:
slope formula= change in y over change in x
4-1/2-(-2)=3/4
Answer:the slope is 4/3 or 1 1/3 or 1.333333333
Step-by-step explanation:2-(-2)/4-1=4/3
I show it in the picture
Answer:
B
Step-by-step explanation:
4a^4 b^-1
4a^4 * 1/b
4 a^4/b
In the given figure, the area of △ADE is 16 units. What is the area of △ABC?
Answer:
(i) Triangle ABC and triangle ADE are similar triangles. Hence, their ratios will be same.
Ratio of DE to BC is 4:6 => 2:3
To find area, we need to raise the ratio of length to power 2
(2/3)² = 16/x
4/9 = 16/x
x = (16*9)/4
x = 36cm²
Therefore, area of triangle ABC is 36cm²
(ii) Ratio of DE to BC is 4:8 => 1:2
(1/2)² = 25/x
1/4 = 25/x
x = 25*4
x = 100cm²
Therefore, area of triangle ABC is 100cm²
I'm not sure about the third question, sorry
Step-by-step explanation:
Eva bought one share of a company's stock for $42 on Monday. Over the next two days, the
value of the stock changed, as described below.
• Change in value on Tuesday: -$15
• Change in value on Wednesday: +$15
Which number line best represents the value of Eva's stock over the three-day period?
10. Susan will take out a loan for $7500 to buy a used car. The simple
interest rate is 5% for 5 years. How much money will she pay the bank?
back in total?
Which expression is equivalent to the expression shown? (5^4)2
Answer:
5^8
Step-by-step explanation:
You multiply the exponents!!
Some IQ tests are standardized to a Normal model N(100,19). What is the cutoff value for the top 5% of all IQs
Answer:
The cutoff value for the top 5% of all IQs is 131.255.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 100, \sigma = 19[/tex]
What is the cutoff value for the top 5% of all IQs
This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 100}{19}[/tex]
[tex]X - 100 = 19*1.645[/tex]
[tex]X = 131.255[/tex]
The cutoff value for the top 5% of all IQs is 131.255.
7y + 3 = 8y − 7 + 2y
Answer:
Y=10/3
Step-by-step explanation:
Answer:
Exact Form:
y
=
10
3
Decimal Form:
y
=
3.
¯
3
Mixed Number Form:
y
=
3
1
3
Step-by-step explanation:
Writing A farmer recently sold a large plot of land. The sale decreased his total acreage by 3%.
Let v be the original acreage. Find two equivalent expressions that will give the new acreage. Use
pencil and paper. Use the expressions to describe two ways to find the new acreage.
Which two expressions will give the new acreage?
A. V-3v
B. 0.97 -0.03v
C. 0.03v
OD. 3V
E. 0.97v
OF. V-0.03v
Answer:
g
Step-by-step explanation:
g
Answer:
F and E
Step-by-step explanation:
Which of the following equations has a solution that is negative?
A. 0 -0.4x + 4 = -1.6
B. -0.4(x + 1.6) = 1.6
C. -0.4(-x + 1.6) = 1.6
D. O- 0.4x - 4 + 1.6x = - 1.6
Answer:
A
Step-by-step explanation:
I think it's this answer
i dont know
A dinner bill for jeff came out $21.00.Jeff paid a total of $24.00 including tip.How big of a tip did jeff leave,as a percentage of the original bill?
Fill in the blank with a percent .Round your percent to whole numbers like 11%
Jeff left a tip of %
Please show how to get answer for if a bus traveled 315 miles in 9 hours, how far did it travel in 3 hours?
Answer: Its will be 105
Step-by-step explanation: But this is how you get it 315 divided by 3 = 105 or 9x35=315 divided by 3 =105
8=-2/5c what does c=
Answer:
c is -1/20
Step-by-step explanation:
sorry, i don't know how to get the answer
i literally typed it up
AaBbCc x AaBbCc (use for all 3 questions) 1. What is the probability that this individual will: AABBcc 2. What is the probability that this individual will: AaBBcc 3. What is the probability that this individual will: AaBbCc
Answer: 1. P = 1/64
2. P = 1/32
3. P = 1/8
Step-by-step explanation:
In genetics, an ofspring inherits one copy of an allele of each parent, which can be described in the tables below called Punnett Square:
For crossing Aa x Aa:
A a
A AA Aa
a Aa aa
For crossing Bb x Bb:
B b
B BB Bb
b Bb bb
For crossing Cc x Cc:
C c
C CC Cc
c Cc cc
We can separate them because they are assorted independently.
For offspring with genotype AABBcc, probability will be:
P(AA) = 1/4
P(BB) = 1/4
P(cc) = 1/4
As all three probabilities has to happen at the same time, it is a "E" rule:
P(AABBcc) = [tex](\frac{1}{4}) (\frac{1}{4}) (\frac{1}{4})[/tex]
P(AABBcc) = 1/64
Probability for the individual to be AABBcc is 1/64 or 1.56%.
Genotype AaBBcc:
P(Aa) = 2/4 = 1/2
P(BB) = 1/4
P(cc) = 1/4
P(AaBBcc) = [tex](\frac{1}{2}) (\frac{1}{4}) (\frac{1}{4})[/tex]
P(AaBBcc) = 1/32
Probability for the individual to be AaBBcc is 1/32 or 3.12%
Genotype AaBbCc:
P(Aa) = 1/2
P(Bb) = 1/2
P(Cc) = 1/2
P(AaBbCc) = [tex](\frac{1}{2}) (\frac{1}{2}) (\frac{1}{2})[/tex]
P(AaBbCc) = 1/8
Probability for the individual to be AaBbCc is 1/8 or 12.5%.
A Paper weight has the shape of a regular triangular pyramid find the surface area of the paperweight put the answer in Square meters
Will Mark brainlest if correct
Answer:
70.75 in²Step-by-step explanation:
area of a triangular pyramid = base area + 3(triangular sides area)
= 1/2 (5) 4.3 + 3 (1/2 x 5 x 8)
= 10.75 + 3(20)
= 70.75 in²
The Starks spend $84 on a meal out. If they want to leave a 22% tip, which of
the following expressions would determine their total?
84(0.22)
O 84(0.88)
84(0.78)
84 + 84(0.22)
84(1.22)
Help Please I need help Now
Answer:
84 + 84(0.22)
Step-by-step explanation:
In order to find the amount of the tip you need to do 84x0.22 then you add that on to the original price
Rich took a train to visit his aunt. The train traveled at an average speed of 60 mph. The trip took 45 minutes. How far was the distance traveled?
The width of a rectangle is 4y - 8.5 feet and the length is 8.5y + 10 feet. Find the perimeter of the rectangle.
Answer:
P = 25y + 3
Step-by-step explanation:
Draw out the figure. You should know that 2(width+length) = Perimeter.
Therefore, when you plug everything in, your expression should look like this:
2(12.5y+1.5) = P
In the end, since you don’t have any other information about y, your final answer would be 25y + 3 = P.
Dina runs 3 miles in 36 minutes. How far can she run in 72 minutes?
Answer:
6 miles foo
Step-by-step explanation:
hook it up w brainliest
Answer:
6
Step-by-step explanation:
Butterfly method
36/3 is the 3 miles in 36 mins
72/x the x is what your trying to find
multiply them
36x = 216
divide them next
36÷216= 6
theres your answer
Which number would divide the numerator and the denominator of the first
fraction to yield the second fraction?
Answer:
2/2
Step-by-step explanation:
Let the numerator and denominator be x/x
10/12÷x/x=5/6
10x/12x=5/6
x/x=5/6÷10/12
x/x=5/6×12/10
x/x=2/2
Therefore the numbers are 2/2
Answer:
2/2
Step-by-step explanation:
To reduce a fraction, you have to divide it by a fraction with the equivalency of 1, since anything else would change the value of the fraction. In this instance, you know that you have the fraction 10/12, and you need to reduce it to 5/6. To do this, you must divide 10/12 by a fraction that equals 1 to create 5/6. Breaking it down, you can know that 10 divided by 2 is 5 and that 12 divided by 2 is 6. 2/2 is equal to 1, so that is the answer.
Dave and 4 of his friends meet for breakfast. Each of the 5 people will pay for their own meal. They agree to divide the tip equally. The total for the breakfast was $80.00. The group will add a tip of 15% of the total. Each person's portion of the tip will be how much?
Answer:
$2.40
Step-by-step explanation:
80x0.15=12
12/5=2.4
Brandy attaches some trim to create a decorative border around the edges of a circular
mirror. The original mirror had a radius of 4.5 inches and a circumference of 28.26 inches.
With the trim added, the mirror now has a diameter of 10 inches. Is the circumference of
the trimmed mirror greater or less than 30 inches?
The answer is greater
Helpppppppppppppppp
Please help
What is the area of the triangle?
Answer:
base x height divided by 2
Step-by-step explanation:
A car dealership pays $8,350 for a car. They mark up the price by 18% to get the retail price. What is the retail price of the car at this dealership?
Answer:
$9,853
Step-by-step explanation:
18% of $8,350 is $1,503, so if the price increased by 18%, we must add $8,350 and $1,503, which would equal $9,853.
Does the graph represent a function?
Answer: Yes, It's a Function
Step-by-step explanation: The lines dont cross the X-Axis more than once