Answer:
Mean: 19
Median: 6
Step-by-step explanation:
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR. Round your answer to the nearest tenth if necessary.
============================================
Work Shown:
LM/PQ = MN/QR
13/56 = 10/x
13*x = 56*10
13x = 560
x = 560/13
x = 43.0769 approximately
x = 43.1
Segment QR is roughly 43.1 units long.
Answer:
QR = 43.1
Step-by-step explanation:
since they are similar use these ratios
NM/QR = LM/PQ
10/QR = 13/56
do cross multiplication
QR*13 = 56*10
QR = 560/13
QR = 43.07
QR = 43.1
therefore the measure of side QR is 43.1.
Come up with an example of three side lengths that can not possibly make a triangle, and explain how you know.
Answer:
3, 5 and 15
Step-by-step explanation:
According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.
You decide to increase your Utah county coronavirus sample to 10 counties and estimate the same sample standard deviation you did with your sample of 5 counties. This will ______________ the margin of error associated with your 90% confidence interval.
Answer:
This will decrease the margin of error associated with your 90% confidence interval.
Step-by-step explanation:
Margin of error:
The margin of error of a confidence interval is given by a formula that follows the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level, s is related to the standard deviation and n is related to the size of sample.
From the formula:
M and n are inversely proportional, which means that if the sample size is increased, the margin of error decreases.
In this question:
Sample size increases from 5 to 10, so the margin of error decreases.
Find the percent of decrease from 46 songs to 41 songs. Round to the nearest tenth of a percent if necessary.
percent of decrease
%
Answer:
10.9 %
Step-by-step explanation:
46 - 41 = 5
5/46 * 100% = 10.8695652174%
Rounded
10.9 %
Translations and transformations mastery test
Answer:
so ....where is the question?
PLEASE HELP
A salesperson works 40 hours per week at a job where has two options for being paid. Option A is an hourly wage of $25. Option B is a commission rate of 5% on weekly sales. How much does need to sell this week to earn the same amount with the two options?
he needs to sell$___this week
Answer:
He must sell 20,000 to make the same amount
Step-by-step explanation:
Option A
25 h where hourly rate time number of hours ( 40 hours)
25 * 40 = 1000
Option B =
.05 * s where s is the amount of sales and 5% commission
We want them to be equal
1000 = .05s
Divide each side by .05
1000/.05 = .05s/.05
20000 = s
He must sell 20,000 to make the same amount
Helppppp which one is it?
the sum of 1+2-3-4+5+6-7-8+9+10-...+1378
Answer:
1389
Step-by-step explanation:
hope this helps?
How many times bigger is a group of 20 coins than a group of 5 coins
Answer:
It is there difference:
20-5
15
I really need this question someone please help
Answer:
[tex]\approx 15.9[/tex]
Step-by-step explanation:
The length of an arc with measure [tex]\theta[/tex] and radius [tex]r[/tex] is given by [tex]\ell_{arc}=2r\pi\cdot \frac{\theta}{360}[/tex]. From the figure, we know that the radius of arc ADC is 4, but we don't know the measure of the arc. Since there are 360 degrees in a circle, the measure of arc ADC is equal to the measure of the arc formed by [tex]\angle AOC[/tex] subtracted from 360. The measure of the arc formed by [tex]\angle AOC[/tex] consists of two congruent angles, [tex]\angle AOB[/tex] and [tex]\angle COB[/tex]. To find them, we can use basic trigonometry for a right triangle, since by definition, tangents intersect a circle at a right angle.
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
We have:
[tex]\cos \angle AOB=\cos \angle COB=\frac{4}{10},\\\angle AOB=\arccos(\frac{4}{10})=66.42182152^{\circ}[/tex]
Therefore, [tex]\angle AOC=2\cdot 66.42182152=132.84364304^{\circ}[/tex]
The measure of the central angle of [tex]\widehat{ADC}[/tex] must then be [tex]360-132.84364304=227.15635696^{\circ}[/tex]
Thus, the length of [tex]\widehat{ADC}[/tex] is equal to:
[tex]\ell_{\widehat{ADC}}=2\cdot 4\cdot \pi \cdot \frac{227.15635696}{360},\\\ell_{\widehat{ADC}}=15.8585053832\approx \boxed{15.9}[/tex] (three significant figures as requested by question).
find a so the function be continuous Function
The limit as x approaches 1 from either side should match, so that
[tex]\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}(-2x+a)=a-2[/tex]
[tex]\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}x=1[/tex]
==> a - 2 = 1 ==> a = 3
The answer is a = 3.
Finding Left Hand Limit (LHL)
[tex]\displaystyle \lim_{x \to \11^{-}} f(x) = -2(1) + a[/tex]
Finding Right Hand Limit (RHL)
[tex]\displaystyle \lim_{x \to \11^{+}} f(x) = 1[/tex]
For a continuous function, LHL = RHL
-2 + a = 1a = 3Find the sine of ZF.
H
2/2
3/3
F
Write your answer in simplified, rationalized form. Do not round.
sin (F) =
Answer:
1/9 √57
Step-by-step explanation:
the length of HG = √(3√3² - 2√2²)
= √(27-8) = √19
sin L F = HG/GF = √19/ 3√3
= 1/9 √57
Find the output, y, when the input, x, is -1
Answer:
No solution is possible from the information provided
Step-by-step explanation:
guys i need this an answers full please
Answer:
See below.
Step-by-step explanation:
14.
12.5/2.5 = 5
15.
(i) [(-75)/15]/5 = -5/5 = -1
(ii) 13 / [(-2) + 1] = 13 / (-1) = -13
16.
(i) 39 + (-24) - 15 = 0
36 + (-52) - (-36) = 20
Answer: <
(ii) (-10) - 4 = -14
(-10) - (-4) = -10 + 4 = -6
Answer: <
17.
He reads 1/4 book in 1 hour.
He reads 1 book in 4 hours.
In 2 1/6 hours he reads:
(2 1/6)/4 part of the book = (13/6) / 4 = 13/24 part of the book
(i) 2/5 / 1 1/2 = 2/5 / 3/2 = 2/5 * 2/3 = 4/15
(ii) 7/3 / 2 = 7/3 * 1/2 = 7/6
Answer:
14. 5
15. (i) -1 (ii) -13
16. (i) < (ii) <
17. 24/13
Step-by-step explanation:
find the slope from the graph. Leave the answer as a reduced fraction. *
I attached a picture below: I will give brainliest
Answer:
Slope = -2
Step-by-step explanation:
Point 1 (-1, 2)
Point 2 (1, -2)
Formula to find slope = y2 - y1 / x2 - x1
Slope = 2-(-2) / -1-1
Slope = 4 / -2
Slope = -2
A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres
Answer:
ok so
8.5*150000
1275000 cm into kilometers is
12.75 kilometers
Hope This Helps!!!
Graph the image of Kite BCDE after a translation 5 units down.
Answer:
Move each point, one by one, 5 units down
so, D(-7,10) becomes [tex]D^{1}[/tex](-7,5). Y value was decreased by 5
from first principle , find the derivative of y = x³ + 3x² - 5x
Answer:
y' = 3x² + 6x - 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
y = x³ + 3x² - 5x
Step 2: Differentiate
Basic Power Rule: y' = 3x³⁻¹ + 2 · 3x²⁻¹ - 1 · 5x¹⁻¹Simplify: y' = 3x² + 6x - 5Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
How the formula for compound interest is derived?please explain in easy way
Answer - Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.
what is the unit rate of $4 and 8 pounds
Answer:
32
Step-by-step explanation:
Cho mặt bậc hai
z=\sqrt(x^(2)+y^(2))
. Đây là mặt gì?
Answer:
ñkxkdbdidvdv
Step-by-step explanation:
hsu3jdjfiebdic ic8 e
Helpppp plsss I’m trying to get my grade up
This converts to the improper fraction 7/4
======================================================
Work Shown:
3/4 = 0.75
area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft
area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft
total area = 0.75+1 = 1.75 sq ft
This converts to the improper fraction 7/4 because
1.75 = 1 + 0.75
1.75 = 1 + 3/4
1.75 = 4/4 + 3/4
1.75 = (4+3)/4
1.75 = 7/4
A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensions of the frame. (Round your answers to two decimal places.)
Answer:
[tex]\approx 0.59\text{ ft by }0.91\text{ ft}[/tex]
Step-by-step explanation:
Let [tex]\ell[/tex] represent the length of the rectangle. The width can be represented as [tex]0.64\ell[/tex].
The perimeter of a rectangle with lengths [tex]l[/tex] and [tex]w[/tex] is given by [tex]p=2l+2w[/tex].
Thus, we have:
[tex]2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91[/tex]
The width is then [tex]0.64(0.91463414634)=0.58536585365\approx 0.59[/tex].
graph the
function f(x)=10(2)x
Answer:
G.o.o.g.l.e
Step-by-step explanation:
If you search up 'f(x)=10(2)x' on g.o.o.g.l.e it will draw the graph for you.
If this helps you, please give brainliest!
PLEASE HELP
Question 2 of 10
What is the distance formula?
O A. (2 - x,) + (42-44)
B. (x2 + x; } } - (x2 + y )
c. 112 - ) - ( x - x
O D. / (+2 - x)² + (x2 - yil
ANSWER
D
Step-by-step explanation:
d=√((x_2-x_1)²+(y_2-y_1)²)
Answer:
hey can you explain cause IM reading my self and id be happy to help if you oh you have a picture oh the answer is...
Step-by-step explanation:
Jerome's game score changed by
-20 points because of penalties that
were worth -5 points each. How
many times was Jerome penalized?
is 20 ÷ 5 the question? if so he was penalized 4 times. 5 × 4 is 20
Evaluate 9(4x – 15) if x = 3.
Answer:
-27
Step-by-step explanation:
9(4x – 15)
Substitute 3 for x
9((4)(3) - 15)
Multiply (4)(3) = 12
9 ( 12 - 15 )
Subtract 12 - 15 = -3
9(-3)
Multiply 9(-3) = -27
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-27}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: 9 \: (4x - 15)[/tex]
Plugging in the value [tex]x = 3[/tex] in the above expression, we have
➼ [tex] \: 9 \: (4 \times 3 - 15)[/tex]
➼ [tex] \: 9 \: (12 - 15)[/tex]
➼ [tex] \: 9 \: ( - 3)[/tex]
➼ [tex] \: - 27[/tex]
Note:-[tex]\sf\pink{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
the solution set for -2x[tex]-2x^{2}+12x=0[/tex]
A = [5 2 -4 2 5 -4 4 4 -5]Is A diagonalizable? Why or why not? a. A is diagonalizable because if you just chop off the upper and lower triangles of the matrix, you're left with just the diagonal, so it just got diagonalized. Bayum! b. A is not diagonalizable because it is not a diagonal matrix c. A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ.d. A is diagonalizable because it is a square matrix.e. A is not diagonalizable because αA(λ) ≠ γA(λ) for all eigenvalues of λ.f. A is not diagonalizable because it does not have 3 distinct eigenvalues
Answer:
A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ. ( C )
Step-by-step explanation:
The matrix
[tex]A = \left[\begin{array}{ccc}5&2&-4\\2&5&-4\\4&4&-5\end{array}\right][/tex]
This is a 3 x 3 matrix
Attached below is the prove that A is diagonalizable
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes. For a randomly received emergency call, find the following probabilities. (For each answer, enter a number. Round your answers to four decimal places.)
a. between 5 and 10 min
b. less than 5 min
c. more than 10 min
Answer:
a) 0.5447
b) 0.0228
c) 0.4325
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes.
This means that [tex]\mu = 9.6, \sigma = 2.3[/tex]
a. between 5 and 10 min
This is the p-value of Z when X = 10 subtracted by the p-value of Z when X = 5. So
X = 10
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10 - 9.6}{2.3}[/tex]
[tex]Z = 0.17[/tex]
[tex]Z = 0.17[/tex] has a p-value of 0.5675
X = 5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5 - 9.6}{2.3}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
0.5675 - 0.0228 = 0.5447 probability that a randomly received emergency call is between 5 and 10 minutes.
b. less than 5 min
p-value of Z when X = 5, which from item a), is 0.0228, so 0.0228 probability that a randomly received emergency call is of less than 5 minutes.
c. more than 10 min
1 subtracted by the p-value of Z when X = 10, which, from item a), is of 0.5675.
1 - 0.5675 = 0.4325
0.4325 probability that a randomly received emergency call is of more than 10 minutes.