Answer:
the answer is likely a bulldozer
Step-by-step explanation:
you must set up an equivelance of the given angles and solve for x
for the first one you have 5x+4x=180
9x=180
x=20
and for b 3x-1=77
3x=78
x=26
81 of 360 students at Jefferson Elementary are taking Spanish. What percent of students are taking Spanish
Answer:
Step-by-step explanation:
81: 360*100 =
(81*100): 360 =
8100: 360 = 22.5
Apple products have become a household name in America with 51% of all households owning at least one Apple product (CNN, March 19, 2012). The likelihood of owning an Apple product is 61% for households with kids and 48% for households without kids. Suppose there are 1,200 households in a representative community, of which 820 are with kids and the rest are without kids. Let event A correspond to "Household with kids", and B to "Household owns an Apple product". a. Are the events "household with kids" and "household without kids" mutually exclusive and exhaustive? Yes No b. What is the probability that a household is without kids? (Round your answer to 4 decimal places.) c. What is the probability that a household is with kids and owns an Apple product? (Do not round intermediate calculations. Round your answer to 4 decimal places.) d. What is the probability that a household is without kids and does not own an Apple product? (Do not round intermediate calculations. Round your answer to 4 decimal places.)
Answer:
a. Yes.
b. The probability that a household is without kids:
= 0.3167
c. The probability of a household is with kids and owns an Apple product:
= 61%
d. The probability that a household is without kids and does not own an Apple product:
= 52%
Step-by-step explanation:
a) Data and Calculations:
Probability of a household owning an Apple product = 51%
This implies that the probability of a household not owning an Apple product = 49% (100 - 51)%.
Probability of a household with kids owning an Apple product = 61%
This implies that the probability of a household with kids not owning an Apple product = 39% (100 - 61)%.
Probability of a household without kids owning an Apple product = 48%
This also implies that a household without kids not owning an Apple product = 52% (100 - 48)%.
Sample of households = 1,200
Households with kids = 820
Probability of households with kids = 0.6833 (820/1,200)
Therefore, the probability of households without kids = 0.3167 (380/1200)
b) The events "household with kids" and "household without kids" are mutually exclusive and exhaustive because (a) the two events are separate and do not overlap and (b) the two events are inclusive of all possible options. It is either a household has kids or it does not. In this situation, no middle ground exists.
A rectangular swimming pool has a width of 45 feet and an area of 2250 square feet. What is the pool's length?
Answer:
the pools length is 50ft^2
Step-by-step explanation:
A=l*w
2250=l*45 (u do the opposite operation)
2250/45=50
l=50
we know that,
area of the rectangle = L×B
length =area /breadth
length = 2250/45
length= 50 feet
hope it helps u and pls mark it as brainliest
which option would be correct?
Answer:
similar by angle angle similarity property.
Step-by-step explanation:
they have the right angles, and then the two vertical angles.
:))
Which of the following describes the graph of y=[x-2]?
O The graph has closed circles on the left of each step and open circles on the right and includes the step
y=-4 for-2≤ x < -1.
The graph has closed circles on the left of each step and open circles on the right and includes the step
y=-3 for-2
The graph has open circles on the left of each step and closed circles on the right and includes the step
y=-4 for-2 ≤ x < -1.
The graph has open circles on the left of each step and closed circles on the right and includes the step
y=-3 for-2
Answer:
(a) The graph has closed circles on the left of each step and open circles on the right and includes the step y=-4 for-2 ≤ x < -1.
Step-by-step explanation:
The floor function returns the greatest integer not exceeding the argument value. For a unit interval [n, n+1), where n is an integer, the value of the function is n.
__
evaluationFor any x in the interval [-2, -1) the value of ...
y = ⌊x-2⌋
will be ...
y = ⌊-2 -2⌋ = -2 -2 = -4.
This will be the value of y for the entire interval [-2, -1).
The closed circle is on the left end of the step. For this function y=-4 is the first step.
Rotation - Question 5
When the former image is rotated, the dots will be located at section 2 and 7.
What is the effects of image rotation?When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.
From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.
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I really need help this anything will help !!
26/111
Three teams, A, B and C, play in a competition.
games won by A: games won by B = 3:1
games won by B: games won by C = 4:3
Team B has won 8 games.
In total, how many games have the three teams won?
38
To get the number of games C won,you multiply the ratio of B:C,4:3 to ratio of known 8:x to get 6 as the games C won.For A,you multiply the ratio of A:B,3:1 to value of known y:8 to get 24 as the games A won.Add 8+6+24 to get total number of games won.
what is the result of the following division 2x3 3x 5 x 3
63:
2x3=6
3x5=15
6+15=21
x 3 =…
63
Step-by-step explanation:
Ten upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 9. The smallest domino, #0, is 3.00 inches tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 15% taller than the one before. What is the height of domino #9?
Answer:
8.604 in.
Step-by-step explanation:
We can use the formula for compound interest to find the height of domino #9:
A = P(1 + r)^n
where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).
Substituting the given values:
A = 3.00 in * (1 + 0.15)^9
Simplifying:
A = 3.00 in * 2.86797199
A ≈ 8.604 in
Therefore, the height of domino #9 is approximately 8.604 inches.
If the cos 42° = one half, then the sin 48° = _____. Group of answer choices two thirds, because the angles are complementary 2 over 1, because the angles are supplementary one half, because the angles are complementary 1, because the angles are complementary
The sine of 48 Degrees is equal to one-half.
The cosine of an angle is equal to one-half when the angle is 60 degrees. Therefore, if the cosine of 42 degrees is one-half, it means that the angle of 42 degrees is complementary to the angle of 60 degrees.
Since the angles are complementary, the sine of one angle is equal to the cosine of the other angle. In this case, the sine of 48 degrees will be equal to the cosine of its complementary angle, which is 42 degrees.
Therefore, the sine of 48 degrees is equal to one-half.
The correct answer is: 1/2, because the angles are complementary.
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2tan(x/2)- csc x=0 interval [0,2pi)
Answer:
\(x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}\)
Step-by-step explanation:
Given trigonometric equation:
\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)
To solve the equation for x in the given interval [0, 2π), first rewrite the equation in terms of sin x and cos x using the following trigonometric identities:
\(\boxed{\begin{minipage}{4cm}\underline{Trigonometric identities}\\\\$\tan \left(\dfrac{\theta}{2}\right)=\dfrac{1-\cos \theta}{\sin \theta}$\\\\\\$\csc \theta = \dfrac{1}{\sin \theta}$\\ \end{minipage}}\)
Therefore:
\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)
\(\implies 2 \left(\dfrac{1-\cos x}{\sin x}\right)- \dfrac{1}{\sin x}=0\)
\(\implies \dfrac{2(1-\cos x)}{\sin x}- \dfrac{1}{\sin x}=0\)
\(\textsf{Apply the fraction rule:\;\;$\dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}$}\)
\(\dfrac{2(1-\cos x)-1}{\sin x}=0\)
Simplify the numerator:
\(\dfrac{1-2\cos x}{\sin x}=0\)
Multiply both sides of the equation by sin x:
\(1-2 \cos x=0\)
Add 2 cos x to both sides of the equation:
\(1=2\cos x\)
Divide both sides of the equation by 2:
\(\cos x=\dfrac{1}{2}\)
Now solve for x.
From inspection of the attached unit circle, we can see that the values of x for which cos x = 1/2 are π/3 and 5π/3. As the cosine function is a periodic function with a period of 2π:
\(x=\dfrac{\pi}{3} +2n\pi,\; x=\dfrac{5\pi}{3} +2n\pi \qquad \textsf{(where $n$ is an integer)}\)
Therefore, the values of x in the given interval [0, 2π), are:
\(\boxed{x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}}\)
identify an appropriate method to solve the equation x²- 14 x+ 48= -10
divide the monomial by the given monomial. (by give process)
24x^3 ÷ 14x^2
Step-by-step explanation:
24x³ ÷ 14x²
= 2 × 2 × 2 × 3 × x × x × x / 7 × 2 × x × x
= (2 × x × x) ( 2 × 2 × 3 × x) / (2 × x × x) x 7
= 12x / 7
PLEASEEE HELP!!
Calculate the product below, and express the result with the correct number of significant figures.
7.690 x 5.13 =
Answer:
i am not sure what is the question but
Step-by-step explanation:
if you multiply 7.690 x 5.13 you will get 39.4497
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answer:
D (-2,6)
x=y-8;5x+y=-4
Step: Solve x=y−8for x:
Step: Substitute y−8 for x in 5x+y=−4:
5x+y=−4
5(y−8)+y=−4
6y−40=−4(Simplify both sides of the equation)
6y−40+40=−4+40(Add 40 to both sides)
6y=36
6y /6 = 36/ 6 (Divide both sides by 6)
y=6
Step: Substitute6foryinx=y−8:
x=y−8
x=6−8
x=−2 (Simplify both sides of the equation)
x=−2 and y=6
I hope this helps:
The lowest temperature ever
recorded on earth was -89°C
in Antarctica. The average
temperature on Mars is about
-55°C. Which is warmer?
Write an inequality to support
your answer
Answer:
Mars
Step-by-step explanation:
America
A bakery sells two kinds of baked goods: cookies and pie slices. A cookie costs 12 ani a pe sites $4. In one day, the store sold 34 baked goods for a total of $114. How many cookies die itey sele? How many pie slices did they sell? Write a system of equations and solve.
Answer:
uhhhhhhhhhhhh what does this say?
You are given a choice of taking the simple interest on $100,000 invested for 4 years at a rate of %3 or the interest on $100,000 invested for 4 years at an interest rate of 3% compounded . Which investment earns the greater amount of interest? Give the difference between the amounts of interest earned by the two investments.
The investment with compound interest earns a greater amount of interest by $486.12 compared to the investment with simple interest.
To determine which investment earns a greater amount of interest, we need to calculate the interest earned in both scenarios and compare the results.
1. Simple Interest:
The formula for simple interest is given by: I = P * r * t, where I is the interest, P is the principal amount, r is the interest rate, and t is the time period.
Using this formula, we can calculate the interest earned with simple interest:
I = 100,000 * 0.03 * 4
I = $12,000
2. Compound Interest:
The formula for compound interest is given by: A = P * (1 + r/n)^(n*t), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the time period.
In this case, the interest is compounded annually, so n = 1. Let's calculate the amount earned:
A = 100,000 * (1 + 0.03/1)^(1*4)
A = 100,000 * (1.03)^4
A = $112,486.12
The interest earned in the compound interest scenario is A - P = $112,486.12 - $100,000 = $12,486.12.
The difference between the amounts of interest earned by the two investments is:
$12,486.12 - $12,000 = $486.12.
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Please give me the correct answer.
Answer:
subtract 40 from both sides
Answer:
You subtract 40 which will equal -6 and now you divide -6/4n and the answer is n=-1.5
Step-by-step explanation:
By graphing the quadratic function f(x) = 8 +2x -x^2, find the x-intercepts. (Select all that apply)
A. (0,8)
B. (-2,0)
C. (0,4)
D. (4,0)
Answer:
one of the answer is 0,8
the other one I have no idea
Answer:
Step-by-step explanation:
the answers to this are
A. (0,8)
B. (-2,0)
D. (4,0)
hope this helps!
24 students took in a class took an algebra test. If 18/students passed the test, what’s percent passed?
Answer:
75% of the students passed.
Step-by-step explanation:
Sum of 4 times a number and 5 is 7
Answer:
x+4x=5+7
Step-by-step explanation:
hope this helps
Help pls part b is how many batches of jam can the farmer make
The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)
To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.
Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".
Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,
=> 16 = 2 1/2 + 2 1/4b
Hence the correct option is (b).
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Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 0, \sigma = 1\)
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
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Round 5 2/3 to the nearest whole number then subtract
Stefanie has 18 grams of 20% sugar syrup and John has 30 grams of 25% sugar syrup.
how many grams of sugar are in Stefanie's syrup?
how many grams of sugar are in John's syrup?
The grams of sugar that is in Stefanie's syrup = 3.60g
The grams of sugar that is in John's syrup = 7.50g
How to calculate the quantity of sugar?The quantity of sugar syrup that Stefanie has = 18grams
The percentage of sugar syrup that is sugar = 20%
That is, 20/100 × 18
= 360/100
= 3.60g
The quantity of sugar syrup that John has = 30 g
The percentage of sugar syrup that is sugar = 25%
That is;
= 25/100 × 30
= 750/100
= 7.50g
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a rectangular room is 15ft long, 14ft wide and 8.0ft high. what is the length of the longest diagonal from one corner to another of the room
Answer:
20.51ft
Step-by-step explanation:
Given data
Length= 15ft
Width= 14ft
Height= 8ft
Because we want to find the diagonal, let us use the Length and the width
We can get the diagonal by applying the Pythagoras theorem
z^2= x^2+y^2
z^2= 15^2+ 14^2
z^2= 225+ 196
z^2= 421
square both sides
z= √421
z=20.51 ft
Hence the diagonal is 20.51ft
Can you please help me
Therefore the measure of angle 1 is 36°
The artist realizes she has 49 ounces left . How many ounces of blue does she need to add
2 ounces of blue paint to every 7 ounces of yellow
Answer:
hwope this helps \(=^‥^)/’`
Step-by-step explanation: