46°
Х
>
X =
degrees
Hshshshsus
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
⇛ x = 90° + 46°
⇛ x = 136°
PH is the midsegment of Triangle KLM. Find the value of x.
Answer:
x = 26
Step-by-step explanation:
The midsegment is parallel to the side KM and half its length, thus
KM = x = 2 × 13 = 26
The graph of a rational function can have a vertical asymptote, a horizontal asymptote and a slant asymptote. True or false
9514 1404 393
Answer:
True (or False--see comment)
Step-by-step explanation:
No restrictions were placed on the nature of the rational function, so it is possible to create one that has all three kinds of asymptotes.
The attached graph shows that, along with the rational function whose graph it is. The function's asymptotes are ...
horizontal asymptote: y = 0vertical asymptote: x = -4slant asymptote: y = x -4_____
Additional comment
Our example function makes use of an exponential function. While that can be represented as a polynomial of infinite degree, it would usually not be considered a polynomial. Most authors define a rational function to be the ratio of polynomials.
A ratio of polynomials of finite degree cannot have all three kinds of asymptotes. It can have a vertical asymptote with either a horizontal or slant asymptote, but cannot have both a horizontal and a slant asymptote. The asymptote function is the quotient from the division of the numerator polynomial by the denominator polynomial. Any remainder from that division will necessarily tend to zero as the independent variable gets large.
40x divided by 10=28
Answer:
x = 7
Step-by-step explanation:
40x ÷ 10 = 28
40x ÷ 10 × 10 = 28 × 10
40x = 280
40x ÷ 40 = 280 ÷ 40
x = 7
Answer:
x=7
Step-by-step explanation:
40x/10 = 28
40x/10 * 10 = 28 *10
40x= 280
40x/40 = 280/40
x = 7
The equation f(t) = 24,500 x (0.88)t represents the value of a car, in dollars, years after it was purchased.
What do the numbers 24,500 and 0.88 mean?
What does represent?
Sketch a graph that represents the function and shows and .
the function should be represented as f(t) = 24,500( 0.88\()^{t}\)
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Given, f(t) = 24,500 x (0.88)t
Assuming that the value of the car only increases by 88% per year compared to the previous year, the function rule needs to have "t" as the exponent, thus it should be f(t) = 24,500( 0.88\()^{t}\)
Hence, the function should be represented as f(t) = 24,500( 0.88\()^{t}\)
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A loaf of bread costs 3.00 dollars today. The same size loaf cost 20 cents in 1955. what percentage of todays price did someone in 1955 pay for bread?
Answer:
6.666 percent recurring can be rounded to 6.67
Step-by-step explanation:
What is The slope of (6,5) and (14,35)
Answer:
15/4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(35-5)/(14-6)
m=30/8
simplify
m=15/4
Answer:
Step-by-step explanation:
Slope is defined as
m=(y2-y1)/(x2-x1), we have points (6,5) and (14,35) so
m=(35-5)/(14-6)
m=30/8
m=3.75
What is the length of the missing leg? If necessary, round to the nearest tenth
A kiddie pool holds miniature plastic ducks in different colors. Sophia randomly picks up a duck and then replaces it. She repeats this process 100 times. The table shows the results of her experiment.
Duck Color Times Picked
red 30
green 20
yellow 40
blue 10
What is the relative frequency of choosing a red duck? What color of duck is there likely to be the most of in the pool?
A.
The relative frequency is 0.3. It is likely that most ducks are blue.
B.
The relative frequency is 0.2. It is likely that most ducks are yellow.
C.
The relative frequency is 0.3. It is likely that most ducks are yellow.
D.
The relative frequency is 0.2. It is likely that most ducks are green.
Answer:
C
Step-by-step explanation:
Red is 30, so 30/100 or 0.3
Most is yellow.
So its C
Hope this helps plz hit the crown :D
Answer:
c
Step-by-step explanation:
Hitung nilai x bagi persamaan
Calculate the value of x for the equation
Answer:
2
Step-by-step explanation:
2⁹ ÷ (4^x) = 32^x × 32^(-1)
2⁹ ÷ 32^(-1) = 32^x × 4^x
16384 = 128^x
Kalau kamu dah belajar logaritma,
\(x = log_{128}(16384) \\ x = 2\)
Jika belum,
2¹⁴ = 2^(7x)
Bandingkan kuasa persamaan tersebut,
7x = 14
x = 2
The juror pool for an upcoming trial contains 100,000 individuals in the population who may be called for jury duty. The proportion of the available jurors on the population list who are Hispanic is 0.44. A jury of size 8 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury.
Find the probability that no Hispanic is selected. (Round to four decimal places as needed.)
The probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).
Probability is a branch of mathematics that deals with the study of random events or experiments, and the likelihood or chance of their occurrence. It is a measure of the degree of certainty or uncertainty of an event, expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event is certain to occur.
We can model the number of Hispanics selected as jurors with a binomial distribution, where n=8 is the number of trials (selecting jurors), and \($p=0.44$\) is the probability of success (selecting a Hispanic juror).
The probability of selecting no Hispanic jurors is given by:
\($P(X=0) = \binom{8}{0}(0.44)^0(1-0.44)^8 \approx 0.0496$\)
So the probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).
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The probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).
Probability is a branch of mathematics that deals with the study of random events or experiments, and the likelihood or chance of their occurrence. It is a measure of the degree of certainty or uncertainty of an event, expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event is certain to occur.
We can model the number of Hispanics selected as jurors with a binomial distribution, where n=8 is the number of trials (selecting jurors), and \($p=0.44$\) is the probability of success (selecting a Hispanic juror).
The probability of selecting no Hispanic jurors is given by:
\($P(X=0) = \binom{8}{0}(0.44)^0(1-0.44)^8 \approx 0.0496$\)
So the probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).
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I NEED HELP FOR THESE PROBLEMS.
Answer:
1. 25%
2. 19/20 (This is a fraction btw)
3. I don't know this question sorry :(
5. No
6. Yes
Step-by-step explanation:
Have a good day :)
Answer:
1. 25%
2. very likely that school will stay open tmr
3. what do the variables stand for?
5. not proportional
6. proportional
Step-by-step explanation:
solve the system of linear equation by graphing
y=x-7
y=-2x+5
Answer: (4,-3)
jfwfhwghfhkhhhsfufufcbvhvus
A cone with volume 1216 m³ is dilated by a scale factor of 14.
What is the volume of the resulting cone?
Enter your answer in the box.
m³
The volume of the resulting cone is 3, 336, 704m³
How to determine the valueGiven that the volume of a cone is 1216 m³. We need to find the volume of the resulting cone when the original cone is dilated by a scale factor of 14.
We know that the volume of a cone with radius of the base 'r' and height 'h' is given by;
Volume 1 = 1/3 πr²h = 1216 m³
After dilation, both the radius and height will be increased by 14 times, so the new volume of the resulting cone will be
Volume of dilation = 14³ × 1/3 πr²h
Substitute the value
Volume of dilation = 14³ × 1216
Find the cube
Volume of dilation = 2744 × 1216
Multiply the values
Volume of dilation = 3, 336, 704m³
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When you round up to a place that has a 9, you create a 10. Then you need to round up the next place to the left of the place you are rounding to.There are 198,714 people living in Belleville. What is the number of people rounded to the nearest ten thousand?a. What digit is in the ten thousands place?b. Which place is used to decide which way to round the ten thousands place?c. What is the digit in this place?d. Should you round the number in the ten thousands place up or down?e. What happens when you round up a 9?f. What do you do when the value of a place is 10 or more?g. What is the value of the ten thousands place when the number is rounded to the nearest tenthousand?h. What is 198,714 rounded to the nearest ten thousand?i. What is 302,895 rounded to the nearest thousand?j. What is 7,142 rounded to the nearest ten?k. Round 24,793 to the nearest hundred.?
198, 714
a. What digit is in the ten thousands place? - 9
b. Which place is used to decide which way to round the ten thousands place? - thousands place
c. What is the digit in this place? - 8
d. Should you round the number in the ten thousands place up or down? - UP
e. What happens when you round up a 9? - It becomes 10.
f. What do you do when the value of a place is 10 or more? - The number becomes 0 and we add 1 to the next place to the right.
g. What is the value of the ten thousands place when the number is rounded to the nearest ten thousand? 100,000
h. What is 198,714 rounded to the nearest ten thousand? - 200,000
i. What is 302,895 rounded to the nearest thousand? - 303, 000
j. What is 7,142 rounded to the nearest ten? - 7, 140
k. Round 24,793 to the nearest hundred? - 24, 800
A certain disease has an incidence rate of 0.9%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.
Answer:
The probably. that a person who has been in the hospital for the future of the answers to the questions
local bank is using Winters' method with α = 0.2,
β = 0.1, and γ = 0.5 to forecast the number of
customers served each day. The bank is open Monday through Friday.
At the end of the previous week,
The exact forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:
Tuesday: 389.1
Wednesday: 368.7
Thursday: 326.5
Friday: 510.9
To forecast the number of customers served on each of the next five business days using Winters' method, we need to follow these steps:
Calculate the seasonal factor for each day by multiplying the seasonal index by the level.
Monday: 1.10 × 20 = 22
Tuesday: 0.95 × 20 = 19
Wednesday: 0.90 × 20 = 18
Thursday: 0.80 × 20 = 16
Friday: 1.25 × 20 = 25
Update the level and trend using the following formulas:
New Level = α × (Actual Value / Seasonal Factor) + (1 - α) × (Previous Level + Previous Trend)
New Trend = β × (New Level - Previous Level) + (1 - β) * Previous Trend
For Tuesday:
New Level = 0.2 × (30 / 22) + 0.8 × (20 + 1) = 20.3636
New Trend = 0.1 × (20.3636 - 20) + 0.9 × 1 = 0.0364
Forecast the number of customers served on each subsequent day using the formula:
Forecast = (New Level + Forecasted Trend) × Seasonal Factor
Tuesday Forecast = (20.3636 + 0.0364) × 19 = 389.0909
Wednesday Forecast = (20.3636 + 0.0364) × 18 = 368.7273
Thursday Forecast = (20.3636 + 0.0364) × 16 = 326.5455
Friday Forecast = (20.3636 + 0.0364) × 25 = 510.9091
Therefore, the forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:
Tuesday: 389.1
Wednesday: 368.7
Thursday: 326.5
Friday: 510.9
The question should be: A local bank is using Winters' method with α = 0.2, β= 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 1.10; Tuesday, 0.95; Wednesday, 0.90; Thursday, 0.80; Friday, 1.25. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.
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Amira sells balloon animals. She uses the same number of balloons for each animal she makes. The table compares the number of balloon animals sold and the remaining number of balloons on a certain day. Animals balloons 15 200 24 164 33 128 How many balloon animals at most can’t amira sell?
Answer:
65
Step-by-step explanation:
Since we know that Amira uses 4 balloons per animal,
15 + 200/4 = 15+50 = 65
Answer:
65
Step-by-step explanation:
I just did it on Khan
Geometry questions need some help
Step-by-step explanation:
8) x=23sin(48) =17.1m
9) x=11cos42=8.2ft
edward has 20 coins made up of quarters and nickels. if he has $3.40 total, how many of each coin does he have?
Edward has 12 coins of the quarter and 8 coins of nickel with him
Total number of coins = 20
The total amount of money = $3.40
Let x represent the number of quarters and y represent the number of nickels
Formulating the equations we get:
x + y = 20-------(1)
0.25x + 0.05y = 3.40
Simplifying by removing the decimals and solving
25x + 5y = 340------(2)
Multiplying equation (1) by 5 and subtracting with equation (2) we get the following:
5x + 5y = 100
25x + 5y = 340
= 20x = 240
x = 12
So, y = 8
So, the number of quarters is 12 and the number of nickels is 8
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8 x 9/3= x 1/3
What number makes the equation true?
Answer:
72
Step-by-step explanation:
3×(8×9/3=X1/3) then 8×9=X, then X=72
Please help me. I will marks as Brainly if correct
Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet
longer than it is wide.
The equation to determine the length and width of the rug is
28 = w² + 12w
Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.
What is a rectangle?
Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
We are given a rectangular rug with an area of 28 square feet.
Also, the rug is 12 feet longer than it is wide.
So,
Let 'l' be the length of the rug and 'w' be the width of the rug
As given, Length is 12 feet longer than its width
Therefore, l = w + 12
We know Area of rectangle = Length * Width and area is given to be 28 square feet.
So,
⇒28 = (w + 12)w
⇒28 = w² + 12w
Hence, the equation to determine the length and width of the rug is
28 = w² + 12w.
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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.
Create an equation to determine the length and the width of the rug.
Please help I’ll give brainliest
Answer:
R = 13%
Step-by-step explanation:
P = $4000
I = $780
T = 18 months = 18/12 years
\(I = \frac{PRT}{100} \\\\780 = \frac{ 4000 \times R \times \frac{18}{12}}{100}\\\\780 = \frac{6000 \times R }{100}\\\\780 = 60R\\\\R = \frac{780}{60} = 13 \%\)
There are about 10^23 atoms of gold in 1 ounce of gold. Copy and complete the table by finding the number of atoms of gold for the given amounts of gold (in ounces).
The number of atoms in an element is a constant, and can be calculated using Avogadro's number, which is approximately 6.022 x 10³ atoms/mole. This number is used to convert between mass and number of atoms.
What does Avogadro’s number represent?Amedeo Avogadro, an Italian scientist, is commemorated with Avogadro's number/constant. The number of particles (atoms, ions, or molecules) contained in one mole of a substance is known as Avogadro's number. It is commonly designated as N or N0.
Avogadro's number is 6.02 x 10²³.
Given that,
10²³ atoms of gold in 1 ounce of gold.
The number of atoms in an element is a constant, and can be calculated using Avogadro's number, which is approximately 6.022 x 10³ atoms/mole. This number is used to convert between mass and number of atoms.
Here is the completed table ↓↓↓
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lily and jason each have 60 tokens . Each round lily add 5 of her tokens to the pot and jason add 3 of his tokens to the pot . the game continues either lily or jason runs out of token . which of the follow is true lily has 24 token jason has 24 tokens lily has 36 tokens jason has 36 tokens
We will have the following:
Since Lilly adds more of her tokens for each round she will end the game faster, and we can also see that the ratio of tokens is:
\((60\colon5)=12\)So, there will be less than 12 rounds.
We then have:
\(60-(3\cdot12)=24\)So, Jason has 24 tokens. [Option B]
Based on the 2017 American Community Survey, the proportion of the California population aged 15 years old or older who are married is p = 0.482. Suppose n = 1000 persons are to be sampled from this population and the sample proportion of married persons (p) is to be calculated. What is the probability that more than 50% of the people in the sample are married? Round your answer to three decimal places.
Therefore, the probability that more than 50% of the people in the sample are married is approximately 0.115 (rounded to three decimal places).
To solve this problem, we can use the normal approximation to the binomial distribution since the sample size is large (n = 1000) and the proportion of married persons (p) is not too close to 0 or 1.
The mean of the sample proportion can be calculated as:
μ = p = 0.482
The standard deviation of the sample proportion can be calculated as:
σ = sqrt((p * (1 - p)) / n) = sqrt((0.482 * (1 - 0.482)) / 1000) ≈ 0.015
To find the probability that more than 50% of the people in the sample are married, we need to calculate the z-score and find the area under the normal curve to the right of this z-score.
The z-score can be calculated as:
z = (x - μ) / σ = (0.5 - 0.482) / 0.015 ≈ 1.200
Using a standard normal distribution table or a calculator, we can find that the area to the right of z = 1.200 is approximately 0.1151.
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Compare.
140/130 _____ 104%
Answer:
140/130 > 104%
Step-by-step explanation:
When you convert 140/130 to a decimal, you get 1.07 which is 107%. 107% is greater than 104%, so 140/130 is > 104%
Mr Chan has 154 more apples than pears. After selling 4/7 of the apples and 1/2 of the pears, he had 144 fruits left. How many fruits did he sell?
The number of fruits that he sold is given as follows:
136 apples.42 pears.For a total of 178 fruits.
How to obtain the amount of fruits sold?The amount of fruits sold is obtained solving a system of equations, for which the variables are given as follows:
Variable x: number of apples.Variable y: number of pears.Mr Chan has 154 more apples than pears, hence:
x = 154 + y.
After selling 4/7 of the apples(3/7 remaining) and 1/2 of the pears, he had 144 fruits left, hence:
3x/7 + y/2 = 144.
Replacing the first equation into the second, the value of y is given as follows:
3(154 + y)/7 + y/2 = 144
6(154 + y) + 7y = 2016.
y = 84.
Then the value of x is given as follows:
x = 154 + 84
x = 238.
The amounts sold are given as follows:
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What is the surface area of the cylinder with height 6 m and radius 7 m?
Round your answer to the nearest thousandth.
Answer:
571.77 cm2 is the answer