There is no question context so it is not sufficient for an answer, however I am assuming its asking for you based on the images to pair the charts to graph.
First lets find the slope of (20,-1) (21,-1.5)
\(Slope = \frac{y2-y1}{x2-x1}\)
-1+1.5
20-21
The slope for that chart is 0.5/-1 which is -0.5 or -1/2. This makes that chart paired with the following graph:
about ____ of the possible outcomes occur within one standard deviation of the mean\
Answer:
68%
Step-by-step explanation:
In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:
About 68% of the data falls within one standard deviation of the mean.About 95% of the data falls within two standard deviations of the mean.About 99.7% of the data falls within three standard deviations of the mean.-14x - 10x + 19x
please answer
the answer is -5x :) I'm pretty sure
3. For his after-school job, Doug painted
25 fence posts in 350 minutes. If it took
Doug the same amount of time to paint
each fence post, how many minutes did
it take him to paint 1 fence post?
Answer:
14 minuts.
Step-by-step explanation:
350 divided by 25 is 14.
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A number from 22 to 29 drawn at random. What is the theoretical probability of drawing an even number
Answer:
Because it is theoretical probability you have to actually perform the activity. :/
Step-by-step explanation:
what are all the values of c that will make x^2 cx 121 a perfect square ?
Answer:
c = -22, 22
Step-by-step explanation:
\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)
\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)
What is System Effectiveness, if Operational Readiness is 0.89, Design Adequacy is 95%, Availability is 98%, Maintainability is 0.93, and Mission Reliability is 0.99? a. 0.763 b. 0.881 c. 0.837 d. 0.820
The System Effectiveness is approximately 0.763.
To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.
System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability
Plugging in the given values:
System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99
System Effectiveness ≈ 0.763
Therefore, the System Effectiveness is approximately 0.763.
The correct answer is a. 0.763.
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gabriella went skiing. she paid $35 to rent skis and $15 an hour to ski. if she paid a total of $95, how many hours did she ski?
Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,
for a total of $95. We can set up the following equation to represent this information:
35 + 15x = 95
Solving for x, we get:
15x = 60
x = 4
Therefore, Gabriella skied for 6 hours.
Here is a more detailed explanation of how to solve the equation:
Subtract $35 from both sides of the equation.
15x = 60
15x - 35 = 60 - 35
15x = 25
Divide both sides of the equation by 15.
15x = 25
x = 25 / 15
x = 4
Therefore, x is equal to 4, which is the number of hours that Gabriella skied.
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Some of the students from Millennium Middle School are taking a trip to a museum. In all fewer than 60 students will go on the trip. The cost for food and admission to the museum is $18 per student. The students will travel on one bus to the museum. The cost of the bus is $800. Complete the table below to show the total cost for food, admission, and the bus for different numbers of students to the museum.
Answer
Number of students Total cost
0 $800
20 $1160
30 $1340
40 $1520
50 $1700
Explanation
Given
Cost per student = $18
The cost of the bus = $800
Step-by-step solution:
The total cost for food, admission, and the bus can be calculated using;
18a + b
Where a is the number of students and b is the cost of the bus.
For 30 students:
$18(30) + $800 = $540 + $800 = $1340
For 40 students:
$18(40) + $800 = $720 + $800 = $1520
For 50 students:
$18(50) + $800 = $900 + $800 = $1700
differentiate. f(x) = qx + r/sx + t, where q
,
r
,
s
,
t
are constants.
To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).
To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:
1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.
2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.
3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.
4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).
Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).
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A computer printer can print 10 pages per minute.
Write an expression for the number of pages the
printer can print in m minutes.
Answer:
so if the printer can print 10 pages per min. then the equation would be 10*m.
Step-by-step explanation:
Events D and E are independent, with P(D) = 0.6 and P(D and E) = 0.18. Which of the following is true?
(A) P(E) = 0.12
(B) P(E) = 0.4
(C) P(D or E) = 0.28
(D) P(D or E) = 0.72
(E) P(D or E) = 0.9
The probability that is true is P(D or E) = 0.72.
Option D is the correct answer.
We have,
We can start by using the formula:
P(D and E) = P(D) x P(E)
Since D and E are independent events, their probabilities multiply to give the probability of both events happening together.
Plugging in the given values.
0.18 = 0.6 x P(E)
Solving for P(E).
P(E) = 0.18 / 0.6 = 0.3
So option (A) is not correct.
To find P(D or E), we can use the formula:
P(D or E) = P(D) + P(E) - P(D and E)
Plugging in the given values.
P(D or E) = 0.6 + 0.3 - 0.18 = 0.72
Thus,
P(D or E) = 0.72 is true.
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question in screenshot
what’s the area of this trapezium
Step-by-step explanation:
Area of trapezium
=1/2 h(a+b)
=1/2 2(6+4)
=1/2 2.10
=1/2 20
=10cm. cm
Answer:
10 cm² (the answer of blue trapezium)
Step-by-step explanation:
s=((4+6)*2)/2=10
The temperature in Juno, Alaska was 15 degrees at 7am. The temperature dropped 12 degrees every hour for 4
hours. What was the temperature at 11am?
Enter the common ratio for the geometric sequence below.
4
,
6
,
9
,
.
.
.
Answer:
r = \(\frac{3}{2}\)
Step-by-step explanation:
The common ratio (r) in a geometric sequence is any term divided by the previous term, that is
r = \(\frac{6}{4}\) = \(\frac{9}{6}\) = \(\frac{3}{2}\)
When two angles and a non-included side of one triangle are congruent to the corresponding pieces of another triangle?
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
We know that the AAS (angle-angle-side) theorem says that when two angles and any side of a triangle are congruent to two angles and any side of other triangle, then the triangles are said to be congruent.
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Whereas the Angle-Angle-Side Postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
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The absolute value of (2−7)=
The absolute value is:
5Work/explanation:
First, we will evaluate 2-7.
It evaluates to -5.
Now, let's find the absolute value of -5 by using these rules:
\(\sf{\mid a\mid=a}\)
\(\sf{\mid-a \mid=a}\)
Similarly, the absolute value of -5 is:
\(\sf{\mid-5\mid=5}\)
Hence, 5 is the answer.A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months. What is the standard error of the sample proportion?
a. 0.037
B. 0.057
C. 0.069
D. 0.016
The given information is as follows:A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months.
The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150
The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037
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Marilyn wants to use a non-price competitive marketing strategy to gain more customers. Which of the following might she use?
As Marilyn wants to use a non-price competitive marketing strategy to gain more customers, the strategy that she might use is offering a promotion.
What is a Non-price competition in marketing?In marketing, the non-price competition refers to a marketing strategy in which a firm tries to distinguish its product or service from competing products on the basis of attributes like design and workmanship.
This competition most often occurs in an imperfectly competitive markets because it exists between producers that sell goods and services at same prices but competes to increase their respective market shares through different non-price measures such as marketing schemes and greater quality.
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True or false: In order to calculate MACRS depreciation, the business needs to know the asset's original cost, the depreciation period, and which depreciation method (i.e. 200% declining balance) is used. No other information is required.
The statement 'In order to calculate MACRS depreciation, the business needs to know the asset's original cost, the depreciation period, and which depreciation method (i.e. 200% declining balance) is used.' is false. because, the asset was used for both personal and business purposes, the business must calculate the percentage of business use in order to determine the correct depreciation deduction.
While the asset's original cost, depreciation period, and depreciation method are all necessary inputs for calculating MACRS depreciation, there are other pieces of information that are also required.
For example, the business must determine the applicable MACRS recovery period and the property's placed-in-service date, as well as any applicable conventions for calculating the depreciation.
Additionally, if the asset was used for both personal and business purposes, the business must calculate the percentage of business use in order to determine the correct depreciation deduction.
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PQ= RQ and PS= RS a=?
The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.
What are interior angles?In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.
Given:
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle a:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)
\(\angle\text{Q}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-60\)
\(\angle\text{R}=60^\circ\)
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)
\(\angle\text{S}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-90\)
\(\angle\text{R}=45^\circ\)
Step 4 - Now, the measure of angle a is calculated as:
\(\angle\text{a}=60-45\)
\(\angle\text{a}=15\)
The measure of angle a is 15 degrees.
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de fine a pair of random variables as follows: an economist estimates the following joint probability function: answer the following questions, rounding your answers to two decimal places where appropriate. (a) find the conditional probability function of given : i. ii. (b) what is the covariance between and ? (c) are x and y independent?
a. The conditional probability function of X given Y=2 is f(x|2) is 0.55 for x = 1, 2, 3, and f(x|2) = 0 for all other values of x. b. Cov(X,Y) = 2.43 - (3.13)(3.77) = -0.41. c. f(x,y) is not equal to fX(x)fY(y) for some values of x and y, X and Y are dependent.
(a) The conditional probability function of X given Y=y is f(x|y) = f(x,y) / fY(y). The conditional probability function of Y given X=x is f(y|x) = f(x,y) / fX(x).
i. The conditional probability function of X given Y=2 is f(x|2) = 0.12 / 0.22 = 0.55 for x = 1, 2, 3, and f(x|2) = 0 for all other values of x.
ii. The conditional probability function of Y given X=3 is f(y|3) = 0.03 / 0.07 = 0.43 for y = 1, 2, 3, and f(y|3) = 0 for all other values of y.
(b) The covariance between X and Y is given by Cov(X,Y) = E(XY) - E(X)E(Y), where E(XY) is the expected value of the product of X and Y, and E(X) and E(Y) are the expected values of X and Y, respectively. Using the joint probability function, we have E(XY) = 1(0.08) + 2(0.09) + 3(0.10) + 4(0.05) + 6(0.08) + 9(0.05) = 2.43, E(X) = 1(0.19) + 2(0.22) + 3(0.25) + 4(0.10) + 6(0.14) + 9(0.10) = 3.13, and E(Y) = 1(0.15) + 2(0.22) + 3(0.28) + 4(0.07) + 6(0.17) + 9(0.11) = 3.77. Therefore, Cov(X,Y) = 2.43 - (3.13)(3.77) = -0.41.
(c) X and Y are not independent because f(x,y) = 0.08 for x=1 and y=1, while fX(1)fY(1) = 0.19(0.15) = 0.0285. Since f(x,y) is not equal to fX(x)fY(y) for some values of x and y, X and Y are dependent.
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The length of a rectangle is 2 cm less than 7 times the width. The perimeter is 60 cm. Find the width of the rectangle. HINT: Draw a rectangle and label the longer side l for length and the shorter side w for width. Then write an expression for the length based off of w. Reminder that perimeter is the sum of all of the sides
Answer:
Step-by-step explanation:
Perimeter of a rectangle = 2L +2W
L is the length
W is the width
If the length of a rectangle is 2 cm less than 7 times the width, then;
L = 7W-2 .... 2
Substitute eqn into the formula for finding the perimeter
P = 2(7W-2)+2W
P = 14W-4+2W
P = 16W-4
If P =60cm
60 = 16W-4
16W = 60+4
16W = 64
W = 64/16
W = 4cm
Hence the width of the rectangle is 4cm
Since l = 7w-
l = 7(4)-2
L = 28-2
L = 26cm
You can proceed and draw a rectangle with the dimension of 4cm by 26cm
What is the value of 3 + (-6) + (−2/5 )?
Adding a negative number is the same as subtracting its positive.
-> Rewrited as 3 - 6 - 2/5
= 15/5 - 30/5 - 2/5 = -17/5 (= -3.4)
if 132=(6x+30) what is the value of x
Answer:
x=17
Step-by-step explanation:
132 + (-30) = (6x+30) + (-30)
132 - 30 =6x + 30 - 30
102 =6x
6x/6 = 102/6
(This step has a picture)
x=17
A ____________________ allows us to examine how the probability distribution of a dependent variable,Y, might be related to one or more independent variables (collectively called X).
a) regression model
b) sampling distribution model
c) scatter plot model
d) confidence interval
e) hypothesis test
f) prediction interval
A regression model allows us to examine how the probability distribution of a dependent variable, Y, might be related to one or more independent variables (collectively called X). Therefore, the correct answer is (a) regression model.
A regression model is a statistical tool used to model the relationship between a dependent variable (often denoted as Y) and one or more independent variables (often denoted as X). It can help us understand how changes in the independent variables affect the values of the dependent variable, and can be used to make predictions or estimate values of the dependent variable based on specific values of the independent variables.
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what is the answer??????????????
Answer:
2x = 10y, 0x=8y, 4x=12y
Step-by-step explanation:
So, lets go over what we know.
Y=x+8
We need to figure out what y is for x equals:
2
0
4
So, lets plug in these number:
Lets start with 2:
y=2+8
=
y=10
So the first y value is 10.
Next we have:
y=0
y=0+8
=
y=8
So the second y value is 8.
Next we have:
y=4
y=4+8
=
y=12
So the last y value is 12.
Hope this helps! :D
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The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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Which triangle is both scalene and acute
Answer: Lower right corner (aka southeast corner)
Any acute triangle has all three angles less than 90 degrees. A scalene triangle is one where all sides are different lengths.
--------------
Extra info:
The top left corner has a right (90 degree) angle, so this is a right triangle. It is a right scalene triangle to be more specific.The top right corner is an isosceles acute triangle. It's isosceles because two sides are the same length (10 ft).The bottom left corner shows a scalene triangle that is also obtuse since the 102 degree angle is present.which of the following is equivalent to the expression below sqrt 8 - sqrt 72 + sqrt 50
A. sqrt 2
B. 3 sqrt 2
C. 13 sqrt 2
D. 7 sqrt 2
Answer:
Step-by-step explanation:
\(\sqrt{8}-\sqrt{72}+\sqrt{50}\) These cannot combine the way they are. The rule for adding and subtracting radicals is really picky. Not only does the index have to be the same (the little number that is sitting outside in the bend of the radical {ours is a 2, which isn't usually there, but is instead understood to be a square root}), but the radicand, the expression under the square root (or cubed root, or fourth root, etc) has to the same as well. All of our radicals are square roots, so that's good, but the radicands are all different. The first one is an 8, the next one is a 72, and the last one is a 50. BUT if we can rewrite them by simplifying them and then the radicands are the same, we're in good shape.
Simplify by taking the prime factorization of each of those numbers.
8: 4*2 and 4 is a perfect square, so we'll stop there
72: 36*2 and 36 is a perfect square, so we'll stop there
50: 25*2 and 25 is a perfect square, so we'll stop there.
Now, rewrite each one of them in terms of their prime factorization:
\(\sqrt{4*2}-\sqrt{36*2}+\sqrt{25*2}\) and then pull out each perfect square as its root:
\(2\sqrt{2}-6\sqrt{2}+5\sqrt{2}\) and now all the radicands are the same, so we can add them to get
\(1\sqrt{2}\) or simply \(\sqrt{2}\)
Answer:
\(A: \sqrt{2}\)
Step-by-step explanation:
sqrt 8 = sqrt (2 * 2 *2 ) = \(2\sqrt{2}\)
sqrt 72 = sqrt (2 * 2 *2 * 3 * 3 ) = \(6\sqrt{2}\)
sqrt 50= sqrt (2 * 5 *5 ) = \(5\sqrt{2}\)