What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
According to the theorem, equal sides have equal angles opposite to them so AB AND AC are equal so x and y are also equal
When x=1, then y= ___
Please I need the answer soon.
Answer:
When x = 1, y = -2
Step-by-step explanation:
The equation of this line is y = x - 3, so when x = 1, y would equal 1 - 3 or -2.
Answer:
x=1, then y= -2
What is the correct equation for a line that has a slope of 1/3, and a y intercept of 4
Answer:
y=1/3x+4
Step-by-step explanation:
It should be correct as the gradient = 1/3
and the y-intercept = C
= +4
What is the length of leg s of the triangle below?
Answer:
i normally know these but i honestly dont know but can you please put branliest
Step-by-step explanation:
Step-by-step explanation:
Keep in mind that this triangle is a 45-45-90 triangle meaning that it's isosceles
This means that the other side is also equal to s
The best way to solve this is by using the pythagorean theorem
\(a^{2}\)+\(b^{2}\) = \(c^{2}\)
10\(\sqrt{2}\) = c (because it's the hypotenuse or the longest side)
s = a
s= b
Substitute the values into the formula stated above
\(a^{2}\)+\(b^{2}\)= \(c^{2}\)
\(s^{2}\)+\(s^{2}\) =(10\(\sqrt{2}\)\()^{2}\)
Simplify
\(2s^{2}\) = \((\sqrt{102} )^{2}\)
\(2s^{2}\)= 102
Now continue simplifying till you completely solve it
\(\frac{2s^{2} }{2}\)= \(\frac{102}{2}\)
\(s^{2}\)= 51
\(\sqrt{s^{2} }\) = \(\sqrt{51}\)
s=\(\sqrt{51}\)
I hope this helps!!!
According to the Mortgage Bankers Association, 21% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of seven mortgages was selected. What is the standard deviation of this distribution
Answer:
The standard deviation for the number of delinquent mortgages in the sample is 1.08.
Step-by-step explanation:
For each mortgage, there are only two possible outcomes. Either it is delinquent, or it is not. The probability of a mortgage being delinquent is independent of other mortgages. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:
\(\sqrt{V(X)} = \sqrt{np(1-p)}\)
21% of U.S. mortgages were delinquent last year.
This means that \(p = 0.21\)
A random sample of seven mortgages was selected.
This means that \(n = 7\)
What is the standard deviation of this distribution
\(\sqrt{V(X)} = \sqrt{7*0.21*0.79} = 1.08\)
The standard deviation for the number of delinquent mortgages in the sample is 1.08.
The population of a town has been growing, following the equation p= 200t+4500
, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R=6t+35
.
Complete an equation for the number of restaurants per capita (per person)
Restaurants per capita:
How many restaurants per capita does this model predict for the year 2016?
The model predicts that there are approximately 0.012456 (71/5700) restaurants per capita in the year 2016
To determine the number of restaurants per capita, we need to divide the number of restaurants (R) by the population (p). Given that R = 6t + 35 and p = 200t + 4500, we can substitute these values into the equation for restaurants per capita.
Restaurants per capita = R / p
Substituting the given equations, we get:
Restaurants per capita = \((6t + 35) / (200t + 4500)\)
To find the number of restaurants per capita for the year 2016, we need to calculate the value of t for that year. Since t represents years after 2010, in 2016, t would be 6 (2016 - 2010 = 6).
Restaurants per capita (2016) = \((6 * 6 + 35) / (200 * 6 + 4500)\)
= \((36 + 35) / (1200 + 4500)\)
= 71 / 5700
This means that, on average, there is roughly one restaurant for every 80 people in the town. Please note that this prediction is based on the given growth equations and assumes a linear relationship between population and the number of restaurants.
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Identify the y-intercept of the exponential
function.
Answer:
1
Step-by-step explanation:
Round 65.177 to the nearest tenth
Solve the inequality: -2x + 7 < 23
Answer:
x > -8
Step-by-step explanation:
-2x + 7 < 23
Subtract 7 from each side
-2x + 7-7 < 23-7
-2x < 16
Divide by -2, remembering to flip the inequality
-2x/-2 > 16/-2
x >-8
Step-by-step explanation:
\( = - 2x + 7 < 23\).
Move the constant to the right side..
\( = - 2x < 23 - 7\)
Subtract 7 from 23
\( = - 2x < 16\)
Change the symbol and reverse the symbol of the inequality to other direction...
\( = 2x > - 16\)
Now....divide both side by the same number
\( = x > - 8\)
4. The physician's order states: Add 60mEq of potassium chloride to 1000ml D5W and infuse at a rate of 42 ml per hour. Available are ampoules labeled potassium chloride 40 mEq = 20 ml. The infusion set has a drop factor of 60 gtt/ml. (a) How much potassium chloride should be added to the IV?
Using concentration-volume relationship, 30 ml of potassium chloride should be added to the IV solution.
How much potassium chloride should be added to the IV?To calculate the amount of potassium chloride to be added to the IV, we need to consider the concentration of the potassium chloride ampoules and the desired final concentration in the IV solution.
Given:
Physician's order: Add 60mEq of potassium chloride to 1000ml D5W
Potassium chloride concentration in ampoules: 40 mEq per 20 ml
Desired final concentration: Not specified
To determine the amount of potassium chloride to be added, we can set up a proportion based on the mEq (milliequivalents) of potassium chloride:
This is done using concentration-volume relationship
40 mEq / 20 ml = 60 mEq / x ml
Cross-multiplying, we have:
40 mEq * x ml = 60 mEq * 20 ml
Simplifying:
40x = 1200
Dividing both sides by 40:
x = 30 ml
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Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
Misty’s surgery lasted 214 hours. Convert the time to seconds.
Answer:
770,400
Step-by-step explanation:
770,400 seconds
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
Faith and Shawna are shopping for shirts. The available styles are short sleeve (S), tank top (T), and long sleeve (L). They made an organized list to show all possible outcomes if each girl buys a new shirt. Is the list complete? Explain.(S, S), (S, T), (S, L), (T, S), (T, T), (T, L), (L, S), (L, T), (L, L) *
A Yes, all possible outcomes are listed.
B No, they are missing the combination of 1 short sleeve shirt and 1 tank top.
C No, they are missing the combination of 1 long sleeve shirt and 1 tank top.
D No, they are missing the combination of 2 tank tops.
Answer:
it will be A
Step-by-step explanation:
Yes, all possible outcomes are listed.
Question:
x P(x)
0 0.1
1 0.2
2 0.15
3 0.55
Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places
Correct
Ans:
1.0620
The standard deviation of this probability distribution is approximately 1.060
What is standard deviation?
Standard deviation is a measure of the spread or variability of a set of data values. It measures the average distance of each data point from the mean of the data set. A small standard deviation indicates that the data points tend to be close to the mean, while a large standard deviation indicates that the data points are spread out over a wider range of values.
The mean of the distribution can be found by summing the product of each value of \($x$\) and its corresponding probability:
\(\text{mean} &= \sum(x P(x))\)
\(&= 0(0.1) + 1(0.2) + 2(0.15) + 3(0.55)\)
\(&= 2.15\)
The variance can be found using the formula:
\(\text{variance} &= \sum[(x - \text{mean})^2 P(x)]\)
\(&= [(0 - 2.15)^2 \times 0.1] + [(1 - 2.15)^2 \times 0.2] + [(2 - 2.15)^2 \times 0.15] + [(3 - 2.15)^2 \times 0.55]\)
\(=[(4.62)0.1]+[(1.32)0.2]+[(0.02)0.15]+[(0.72)0.55]\)
\(&= 1.125\)
Finally, the standard deviation is the square root of the variance:
\(\text{standard deviation} &= \sqrt{\text{variance}} \approx 1.060\)
Therefore, the standard deviation of this probability distribution is approximately 1.060
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Genesis has an action figure collection. She keeps some in a display case and the rest on the wall. 253 of her action figures are on the wall, and 45% of her action figures are in the display case. What is the total number of action figures in Genesis's collection?
Answer:460
Step-by-step explanation:on delta math
The total number of action figures in Genesis's collection will be 460.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.
The obtained expression for the given condition,
=253 / (1-0.45)
=253/0.55
=25300/55
=460
Thus, the total number of action figures in Genesis's collection will be 460.
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\( \rm\sum_{n = 1}^ \infty ( - 1 {)}^{n - 1} \frac{ {\pi }^{2n + 1} }{(2n - 1)!(2n + 1)} \\ \)
Let
\(\displaystyle f(x) = \sum_{n=1}^\infty (-1)^{n-1} \frac{x^{2n-1}}{(2n-1)! (2n+1)}\)
The exponent is indeed \(2n-1\) - not a typo!
Take the antiderivative of \(f\), denoted by \(F\). This recovers a factor of \(2n\) in the denominator, which lets us condense it to a single factorial.
\(\displaystyle F(x) = \int f(x) \, dx = C + \sum_{n=1}^\infty (-1)^{n-1} \frac{x^{2n}}{(2n+1)!}\)
Recall the series expansion of sine,
\(\displaystyle \sin(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{(2n+1)!}\)
Then with a little algebraic manipulation, we get
\(\displaystyle F(x) = \int f(x) \, dx = C + 1 - \frac{\sin(x)}x\)
Differentiate to recover \(f\).
\(f(x) = \dfrac{\sin(x) - x\cos(x)}{x^2}\)
Finally, \(f(\pi) = \frac1\pi\), so our sum is
\(\displaystyle \pi^2 f(\pi) = \sum_{n=1}^\infty (-1)^{n-1} \frac{\pi^{2n+1}}{(2n-1)! (2n+1)} = \boxed{\pi}\)
Solve the following equation. Then place the correct number in the box provided. 2x - 1 ≤ x + 5
\(\huge\textbf{TheStarryNights }\)Hi There!
Solve the Inequality:
2x-1≤x+5
Move all the variables (in this case, x's) to the left, using the opposite operation:
2x-x-1≤5
Move -1 to the left:
2x-x≤5+1
Combine like terms:
x≤6 (Answer)
Hope it helps & enjoy your day!\(\huge\textbf{TheStarryNights}\)
Janet needs to paint the walls of a room shaped like a
rectangular prism. The room
has a length of 10 ft., a width of 15 ft, and a height of 8 ft. How much paint does she need to cover the
To solve this problem, we will use the formula of rectangular prism surface area.
The formula is:
A=2(wl+hl+hw)
A is the area, w is the width, l is the length, and h is the height.
So we will put in all the numbers.
A=2((15)(10)+(8)(10)+(8)(15))
Multiple all the numbers inside:
A=2(150+80+120)
Add all the numbers inside:
A=2(350)
Multiply:
A=700ft^2
Hope this helped!
For two consecutive even integers, the result of sub-
tracting the larger integer from 3 times the smaller
integer is 14. Which of the following is the larger
integer?
Answer:
Step-by-step explanation:
By writing it as 3(n-2) - n = 14 you can solve this to get n=10
You essentially let the bigger even consecutive number equal n, and therefore the smaller even number equals n-2. Three times the smaller even equals 3(n-2) and minus the bigger even number gives 3(n-2) - n which we know equals 14.
So 3(n-2) - n = 14
3n - 6 - n = 14
2n - 6 = 14
2n = 20
n = 10
The area of a square is 95 square centimeters. Find a
reasonable estimate of thelength of a side of the square
Answer:
9.75 cm
Step-by-step explanation:
Since each side of a square is equal, we can find an estimate for the length by taking a square root of the area (since area of a square = s²)
\(\sqrt{95}\)
= 9.74679434481
= approximately 9.75 cm
So, a reasonable estimate for the square's side length is 9.75 cm
which expression is equivalent to the given expression -2x^2+8x-9+4x+7x^2+2
Answer:
-2x^2+8x-9+4x+7x^2+2 = 5x²+12x-7
Step-by-step explanation:
Conversion facts for volume and capacityA water tower has a volume of 1323 yd?.Use the table of conversion facts to find out how many gallons of water itwould take to completely fill the water tower.Round your answer to two decimal places.1 cubic yard (yd)1 cubic foot (ft)231 cubic Inches (in)* 201.97 gallons (gal)7.48 gallons (gal)= 1 gallon (gal)galxх5?Note that means "Is approximately equal to".For this problem, treat as if it were =.
So,
We're going to pass 1323 yd3, to gallons. This is:
\(1323yd^3\cdot\frac{201.97\text{gal}}{1yd^3}=267206.31\)What factors of -24 has the sum of 5
Answer:
8 and -3
Step-by-step explanation:
We need to list several factors of -24 that add up to 5.
After trying several possibilities we ge
8 x (-3) =24 and
8 + (-3) = 5
Question 1
Jake's credit application has been declined because of his negative credit history.
Which statement is most likely to be true?
O Jake has received 3 traffic tickets in the past 2 months.
O Jake pays his bills consistently and on time.
Jake holds 2 store credit cards, a bank credit card, a car loan, and a mortgage.
Jake has applied for 4 credit cards and a car loan in the past six weeks.
Answer:
Jake holds 2store credit cards a bank credit card a car loan and a mortgage
-5 देखि+5सम्म कतिवटा पुर्ण सङ्ख्याहरु छन् ?
Answer:
-5,-4,-3,-2,-1,0,1,2,3,4,5
-5 देखि+5सम्म 11 पुर्ण सङ्ख्याहरु छन्
mark me as brainliest
(n+8)+(n-12)
Find the sum
Answer:
2n-4
n + 8 + n - 12
( n + n ) + ( 8 - 12 )
( 2n ) + ( -4 )
2n - 4
Please help I NEED THAT GRADE UPGRADE
pi * d/2 + 5*2+7
It is a half circle
10.99+10+7
27.99
Help meeeeeeeeeeeeeeeeeeee
Answer:
I believe it is y=1x or y=x
Answer:
14
Step-by-step explanation:
The constant of proportionality is the y number when x is 1. Look on the bottom of the graph. Find 1, so up to the line and then across left to the y axis. you will be at 14. This means that every time the x increases by 1, the increases by 14