At the pet store, 3 cats are brown with stripes, 2 cats are orange with stripes, and 5 cats are solid brown. What is the probability of a cat being brown or having stripes?
Answer:
Its 1 or 100%
Step-by-step explanation:
Number 11 please....
If mAD=85 degrees and mBC=31 degrees find the value
By the properties of angles on a circle, the degree measure of x in the circle is 11 degrees
Calculating the degree measure of xFrom the question, we have the following parameters that can be used in our computation:
The circle
The angle in a circle is 360 degrees.
So, we have
Unused arcs = 360 - 85 - 31
Unused arcs = 244
This means that
2(13x - 21) = 244
So, we have
13x - 21 = 122
This gives
13x = 143
Evaluate
x = 11
Hence, the degree measure of x is 11 degrees
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The amount of grass seed needed to cover a lawn is proportional to its area. The lawn is rectangular and has an area of 2c^2 + 2c square meters. Factor this polynomial to find possible expressions for the length and width of the lawn. (Assume the factors are polynomials.) HELP ASAP!!
In ∆TUV, Y is the centroid. If TW = 30, what is YW?
Answer:
answer is 10
Step-by-step explanation:
Simplify the expression.
PLEASE HELP ASAP!!!
Max is running the concession stand at the local football game. He is selling popcorn and water. Each bag of popcorn costs $1.25 and each bottle of water costs $. 75.
He sold a total of 108 items for a total of $105.00. He needs to report the number of bags of popcorn and bottles of water that were sold.
Determine how many of each item he sold. Be sure to plug your solution back into the equation to verify that it is correct.
Having variables represent the popcorn and the water, so p for popcorn and w for water... I think the equation would be
p + w = 108
and
1.25p + .75w = 105
but after that I get kind of confused...
which of the following are polynomial functions?check all that apply
(answers in picture)
Answer:
Step-by-step explanation: It is only c and e i just did the test.
Suppose that 1% of the students in a school have head lice and the test for head lice is accurate 75% of the time. What is the probability that a student in the school has head lice, given that the test came back positive?,
If the test is positive, there is a 2.9% chance that the subject has head lice.
What is conditional probability?Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Assume that the school has 100 students. If 1 student has lice and 99 others don't, that means one student has lice.
Suppose that all students took the test. Only 0.75 of 1 people with lice would have a positive test result because it is only 75% accurate.
Because the test is only 75% accurate, out of the 99 students who do not have lice, 25% would test positive. 24.75 false positive tests are involved here!
So far, 25.50 of our students have had positive tests, although only 0.75 of them truly have lice. 2.9% is 0.75 out of 25.5.
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1. Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much algae will be in the pond after 12 hours? (1 point)
would it be 720lbs
35 points!
What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
NEED HELP ASAP!
to find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit of 8 feet tall, measures the angle of elevation to the top of the pole to be 36°. to the nearest foot, what is the height of the pole?
a. 87 feet
b. 95 feet
c. 71 feet
d. 79 feet
Answer:
95 feet
Step-by-step explanation:
Refer the attached figure.
A surveyor moves 120 feet away from the base of the pole i.e. BC = 120 feet.
BC= ED = 120 feet (refer the figure)
Height of transit i.e. DC = 8 feet
DC = EB = 8 feet (refer the figure)
The angle of elevation to the top of the pole to be 36° i.e. ∠ADE = 36°
Height of pole = AE+EB
To find AE use trigonometric ratio
[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]
[tex]tan36^{\circ}= \frac{AE}{ED}[/tex]
[tex]0.726= \frac{AE}{120}[/tex]
[tex]0.726*120= AE[/tex]
[tex]87.12 = AE[/tex]
Height of pole = AE+EB = 87.12+8 = 95.12 feet≈95 feet
Hence the height of pole is 95 feet
if she can read 22 pages in 1 hour how many hours did she read in 114.5 hours
1400 principal earning 7% compounded monthly after 22 years
The future value of a $1,400 investment at a 7% interest rate compounded monthly over 22 years using the compound interest formula is $44,923.
The question regards a principal amount of $1,400 earning a 7% interest rate compounded monthly over 22 years. To calculate the future value of this investment, one would typically use the compound interest formula:
[tex]A = P(1 +rn)^n[/tex]
Where:
A is the amount of money accumulated after n years, including interest.
P is the principal amount ($1,400 in this case).
r is the annual interest rate (decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for in years.
To calculate the future value using our example, you can substitute the given values into the formula:
A = [tex]1400(1+(0.07){12})^{12*22}[/tex] = 44923
After 22 years, the balance in the account with a $1,400 principal earning 7% interest compounded monthly would be approximately $3,808.39. This is calculated using the compound interest formula with the given parameters: principal, interest rate, compounding frequency, and time.
To find the balance in the account after 22 years with a $1,400 principal earning 7% interest compounded monthly, we use the compound interest formula:
[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]
Where:
[tex]- \( A \) is the amount of money accumulated after \( t \) years,- \( P \) is the principal amount (the initial amount of money),- \( r \) is the annual interest rate (in decimal),- \( n \) is the number of times interest is compounded per year, and- \( t \) is the time the money is invested for in years.[/tex]
Given:
[tex]- \( P = $1,400 \),- \( r = 0.07 \) (7% interest rate converted to decimal),- \( n = 12 \) (compounded monthly),- \( t = 22 \) years.[/tex]
Plugging in the values:
[tex]\[ A = 1400 \left(1 + \frac{0.07}{12}\right)^{(12)(22)} \]\[ A = 1400 \left(1 + \frac{0.07}{12}\right)^{264} \]\[ A = 1400 \left(1 + \frac{0.005833}{1}\right)^{264} \]\[ A = 1400 \left(1.005833\right)^{264} \][/tex]
Now, we calculate:
[tex]\[ A \approx 1400 \times 2.72028 \]\[ A \approx $3,808.39 \][/tex]
So, the balance in the account after 22 years would be approximately $3,808.39.
What is the solution of the equation 5x – 1 = 45? Round your answer to the nearest ten-thousandth
Final answer:
The solution to the equation 5x – 1 = 45 is x = 9.2, rounded to the nearest ten-thousandth.
Explanation:
The solution of the equation 5x – 1 = 45 is x = 9.2.
To solve this equation, we can start by isolating the variable x. Add 1 to both sides of the equation to get 5x = 46. Then, divide both sides by 5 to solve for x, giving us x = 9.2.
Therefore, the solution to the equation 5x – 1 = 45 is x = 9.2, rounded to the nearest ten-thousandth.
Name the Property of Equality that justifies the statement: If m<A + M<B = M<C. Then, M<A = M<C - M<B
Transitive Property
Symmetric Property
Reflexive Property
Subtraction Property
Answer:
subtraction property
Step-by-step explanation:
2. The triangles are similar. write a similarity statement for the triangles.
A. Triangle JKL ~ Triangle NPM
B. Triangle JKL~ Triagle PNM
C. Triangle JKL~ Triangle MNP
D. Triangle JKL~ Triangle PMN
Answer:
The correct option is C.
Step-by-step explanation:
In triangle JKL and MNP,
[tex]\angle J=\angle M[/tex] (Given)
[tex]\angle L=\angle P=90^{\circ}[/tex] (Given)
According to AA property of similar triangle, two triangles are similar if their two corresponding angles are same.
Here, J is corresponding angle of M, K is corresponding angle of N and L is corresponding angle of P.
Using AA property of similar triangles,
[tex]\triangle JKL\sim \triangle MNP[/tex]
Therefore the correct option is C.
What happens when you square a cubed root or cube a square root and problems like these. Please tell me how to do it!
plz help "geometry"
the intersection of roads M and N creat a 71.4 degrees what are the complumentry and suplumentry angels of this intersection
A 161.4' ; 18.6'
B 18.6'; 161.4'
C 108.6' ; 18.6'
D 18.6' ; 108.6',
The first term of a sequence is -12. The recursive formula for the sequence is an = an-1 + 9. What are the next 3 terms in the sequence?
What is the period for the graph of y
What is the value of x in the equation 1/5x-2/3y=30,when y =15?
The DIAMETER of a sphere is doubled. What is the new volume of the sphere?
A)
8/3πr3
B)
16/3πr3
C)
32/3πr3
D)
64/3πr3
PLEASE HELP ON THIS AND EXPLAIN
THX
Zhi bought 18 tickets for games at a fair. Each game requires 3 tickets. Zhi wrote the expression 18 – 3g to find the number of tickets she has left after playing g games. Diego correctly wrote another expression, 3(6 – g), that will also find the number of tickets Zhi has left after playing g games. Use the drop-down menus to explain what each part of Zhi's and Diego's expressions mean.
Yes, Zhi's expression multiplies the tickets per game by the number of games to get the number of tickets used and then subtracts this amount from the total tickets.
If the train that Megan is riding covers 60 miles in 2 hours, how fast is the train traveling?
Angle A is a right angle in △ABC.
Which side is opposite to angle A?
side BC
side AB
side AC
Option 1 is correct. The side opposite to angle A is side BC, which is the hypotenuse.
In a triangle, the side opposite the right angle is known as the hypotenuse. Since angle A is given as a right angle in △ABC, the side opposite this right angle will be the hypotenuse.
In △ABC:
Side AB is adjacent to angle A, forming one leg of the right triangle.
Side AC is also adjacent to angle A, forming the other leg of the right triangle.
Side BC is opposite angle A and is the longest side of the triangle, making it the hypotenuse.
Therefore, side BC is opposite to angle A in △ABC.
Complete question:
Angle A is a right angle in △ABC.
Which side is opposite to angle A?
1. side BC
2. side AB
3. side AC
Ashur solves the following system of linear equations.
Which statement about the solution to this system can he say is true?
The values of a and b are both equal to –4.
The values of a and b are both equal to 4.
The value of a is equal to 4, and b is equal to –4.
The value of a is equal to –4, and b is equal to 4.
The given equations that make up the systems are:
-3a+7b=-16...................(Equation 1)
-9a+5b=16...................(Equation 2)
To find the values of a and b we will have to solve the two equations. To solve the equations let us employ the method of elimination.
Let us multiply (Equation 1) by -3. This will give us:
[tex] -3\times (-3a+7b=-16)=9a-21b=48 [/tex]...........(Equation 3)
Let us now add (Equation 2) to (Equation 3) to eliminate a. This will give us:
-16b=64
[tex] \therefore b=-4 [/tex]
Plugging this value of b in any of the equations we will get the value of a. Let us plug it in (Equation 1). This gives:
[tex] -3(-4)+7b=-16 [/tex]
[tex] 12+7b=-16 [/tex]
[tex] \therefore b=\frac{-28}{7}=-4 [/tex]
Thus, out of the given options, the first option is the correct one. The values of a and b are both equal to –4.
what does X equal to ?
Answer:
x= 15
Step-by-step explanation:
We can use cross products to solve this problem
7 2x+5
-- = --------
3 x
7x = 3(2x+5)
Distribute
7x = 6x +15
Subtract 6x from each side
7x-6x = 6x-6x+15
x = 15
A pair of jeans originally cost $80, but is on sale for 30% off. there is a coupon available for an additional 10% off of the sale price. how much do the jeans cost with the coupon?