What is the scale factor of AABC to A DEF?

A. 1/6

B. 1/12

C. 6

D. 12

Answer:

θ

=

41.3

∘

,

138.7

∘

,

221.3

∘

,

318.7

∘

Explanation:

3

sin

2

θ

−

10

(

1

−

2

sin

2

θ

)

=

0

23

sin

2

θ

−

10

=

0

sin

2

θ

=

10

23

sin

θ

=

±

√

10

23

θ

=

arcsin

(

√

10

23

)

=

41.3

∘

θ

=

arcsin

(

−

√

10

23

)

=

−

41.3

∘

+

360

∘

=

318.7

∘

We missed the solutions in quadrants 2 and 3 as arcsin is restricted to quadrants 1 and 4:

So:

41.3

∘

+

180

∘

=

221.3

∘

318.7

∘

−

180

∘

=

138.7

∘

Step-by-step explanation:

There you go

Answer:

All you have to do is find out what 7.5 percent of 650 is.

Step-by-step explanation:

The answer would be 48.75 in sales taxes

When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.

From the question, we were given total number of students as  32

But the mean can be calculated as the ratio of all the sum of all the data to the total number of data,

the total height of all students= (32*1.56)=48.48

total height of 14 boys=(14*1.56)=26.64

number of girls is (32-14)=18

The mean height for the girls will be (26.64/1118)=1.48

Therefore, When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.

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NOTE; This is a complete question , no given option , even on internet.

Answer:

Step-by-step explanation:

y = -1/3x + 2

m1 = -1/3

Slope of the perpendicular line = -1/m1 = -1 ÷ \(\frac{-1}{3}\) = \(-1*\frac{3}{-1} = 3\)

Equation of the required line : y = mx +b

y = 3x + b

Plugin x = 2 and y 10 in the above equation

10 = 3*2+ b

10 = 6 +b

10 - 6 = b

b = 4

Equation: y = 3x + 4

Answer: Add 1, then add 2, then add 3, then add 4, then add 5!

The first multiple of 2 greater than 100 is 102.

\(\therefore\) 102 the first multiple of 2 greater than 100.

First we have to know how to express, mathematically, what is a multiple of 2.

Any number multiplied by 2 is its multiple, that is, they are INFINITE.

If we want a multiple of 2 that exceeds the number 100, it is simple to add 2.

\( \bold{100 \: + \: 2 \: = \boxed{ \bold{102}}}\)

\(\therefore\) 102 the first multiple of 2 greater than 100.

Answer:

18.75 sq.feet

Step-by-step explanation:

According to the question

1 card = 18 sq.in

150 cards = 150 * 18

                =  2700 sq.in

                = 18.75 sq.feet

Answer:

3. 4x-5=27

4x=27+5

4x=32

x=8

5. 3(2x+3)+3=-2(2-6)

(6x+9)+3=-4+12

6x+9+3=8

6x+12=8

6x=8-12

6x=-4

x=-4/6

x=-2/3

6. 102-4(1+4x)=-4(2-3)

102-4-16x=-8+12

98-16x=4

-16x=4-98

-16x=94

x=94/-16

x=6

Answer:

B. showing that AD^2 + DC^2 = AC^2

Step-by-step explanation:

Pythagorean theorem formula: a^2 + b^2 = c^2

^^^^thats all i know, i got the answer from my teacher tho lol

As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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Answer:

\(LM = 10units\)

Step-by-step explanation:

\(L( - 5,4),M(3, - 2)\)

\(L( - 5,4),M(3, - 2) \\ L( { x }_{ 1 } , { y }_{ 1 } ),M( { x }_{ 2 } , { y }_{ 2 } )\)

\(LM = \sqrt{ {( { x }_{ 2 } - { x }_{ 1 } )}^{2} + {( { y }_{ 2 } - { y }_{ 1 } ) }^{2} } \)

\(LM = \sqrt{ {(3 - - 5)}^{2} + {( - 2 - 4)}^{2} } \)

\(LM = \sqrt{ {(3 + 5)}^{2} + {( - 2 - 4)}^{2} } \)

\(LM = \sqrt{ {(7)}^{2} + {( - 6)}^{2} } \)

\(LM = \sqrt{64+ 36} \)

\(LM = \sqrt{100} \)

\(LM = 10units\)

Answer:

y = -1/3x + 7

Step-by-step explanation:

x + 3y = 9 ⇒ y = -1/3x + 3

Use point-slope form and substitute the values:

\(y-y_1=m(x-x_1)\\y-5=-\frac{1}{3}(x-6)\\y-5=-\frac{1}{3}x+2\\y=-\frac{1}{3}x+7\)

Answer:

Do you need a step by step explaination on hiw to get the answer x= -13?

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

1.

we separate the inequality into two parts to solve the absolute value

first part

second part

graph

where the yellow lines are the first part, red the second part and the solution of the inequality is the union of these two

2.

we separate the inequality into two parts to solve the absolute value

first part

second part

graph

where the first part is yellow, the second part is red and the solution of the inequality is green

We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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The missing graph is attached below.

Answer:

x=4

Step-by-step explanation:

parallel structure is used correctly in :

Eggs, flour, and sugar are needed to bake the pie crust.

In grammar, parallelism, also referred to as parallel structure or parallel construction, is the distribution of identical phrases or clauses with the same grammatical structure within one or more sentences.

The use of parallel structure is more of a stylistic option than a strict rule because it aids in the patterning of sentence elements.

The use of parallelism has an impact on reading and may facilitate text processing.

The rhythm and grammatical balance of a sentence are both guaranteed by using parallel construction.

However, if this structure is not used when creating a sentence with two or more pieces of information, the sentence will have a disruption in rhythm or grammatical imbalance.

Therefore, the correct answer is:

Eggs, flour, and sugar are needed to bake the pie crust.

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Answer:I am adding the brackets to show in which order the expressions will be evaluated:

A.

(4 ÷ 4) + 4 – 4 = 1+4-4 = 1 (the correct answer)

B.

(4 · 4) – (4 ÷ 4)= 16-1 = 15

C.

4 –( 4 ÷ 4) – 4= 4-1-4 = -1

D.

(4 ÷ 4) + 4 + 4 = 1+4+4 =9

hope this help yu the answer is A

hope this hlpe

Step-by-step explanation:

Answer:

I think its -- linear postulate

Step-by-step explanation:

Answer:

a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15) = 0.0173

b) Probability of not rejecting the claim when p = 0.7, P(X > 15) = 0.8106

when p = 0.6, P(X > 15) = 0.4246

c) Check Explanation

The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.

Step-by-step explanation:

p is the true proportion of houses with smoke detectors and p = 0.80

The claim that 80% of houses have smoke detectors is rejected if in a sample of 25 houses, not more than 15 houses have smoke detectors.

If X is the number of homes with detectors among the 25 sampled

a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15)

This is a binomial distribution problem

A binomial experiment is one in which the probability of success doesn't change with every run or number of trials (probability that each house has a detector is 0.80)

It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure (we are sampling 25 houses with each of them either having or not having a detector)

The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 25 houses sampled

x = Number of successes required = less than or equal to 15

p = probability of success = probability that a house has smoke detectors = 0.80

q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.80 = 0.20

P(X ≤ 15) = Sum of probabilities from P(X = 0) to P(X = 15) = 0.01733186954 = 0.01733

b) Probability of not rejecting the claim when p= 0.7 when p= 0.6

For us not to reject the claim, we need more than 15 houses with detectors, hence, th is probability = P(X > 15), but p = 0.7 and 0.6 respectively for this question.

n = total number of sample spaces = 25 houses sampled

x = Number of successes required = more than 15

p = probability that a house has smoke detectors = 0.70, then 0.60

q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.70 = 0.30

And 1 - 0.60 = 0.40

P(X > 15) = sum of probabilities from P(X = 15) to P(X = 25)

When p = 0.70, P(X > 15) = 0.8105639765 = 0.8106

When p = 0.60, P(X > 15) = 0.42461701767 = 0.4246

c) How do the "error probabilities" of parts (a) and (b) change if the value 15 in the decision rule is replaced by 14.

The error probabilities include the probability of the claim being false.

When X = 15

(Error probability when p = 0.80) = 0.0173

when p = 0.70, error probability = P(X ≤ 15) = 1 - P(X > 15) = 1 - 0.8106 = 0.1894

when p = 0.60, error probability = 1 - 0.4246 = 0.5754

When X = 14

(Error probability when p = 0.80) = P(X ≤ 14) = 0.00555

when p = 0.70, error probability = P(X ≤ 14) = 0.0978

when p = 0.60, error probability = P(X ≤ 14) = 0.4142

The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.

Hope this Helps!!!

The correct option that indicates the quadrant that contains the translation of the shaded figure is the option B

B. III

A translation is a transformation in which the size, relative position of the points on the pre-image, are preserved but the location of the pre-image changes to obtain the image.

The shape of the shaded figure is an L-shape

The geometric figure in quadrant II and IV are a reflection of the shaded figure, across the y-axis and across the x-axis, respectively which is not a translation transformation.

The geometric figure in quadrant III can be obtained from the shaded figure by a translation 4 units to the left and 5 units downwards, which can be expressed as <-4, -5>, which is a translation transformation, therefore;

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The value of side EA is,

EA = 16.9

We have to given that;

Circle E with diameter CD and radius EA.

And, AB is tangent to E at A.

Here, AB = 34 and EB = 38

Hence, By using Pythagoras theorem we get;

AB² + AE² = EB²

34² + AE² = 38²

1156 + AE² = 1444

AE² = 1444 - 1156

AE² = 288

AE = √288

AE = 16.9

Thus, The value of side EA is,

EA = 16.9

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Answer:  118

Step-by-step explanation:

The two figures' angles are identical so the angles would have the same measurements

Answer:

I would round to 3, so the length of the sidewalk would be about 8 x 3 = 24 feet.

Step-by-step explanation:

\(2\frac{5}{6}\) is closer to 3 and if you convert it to decimal which will be 2.83 with a bar on top of 3, it's still close to 3.

Answer:

Step-by-step explanation:

From the information given:

The joint density of \(y_1\)  and  \(y_2\) is given by:

\(f_{(y_1,y_2)} \left \{ {{y_1+y_2, \ \ 0\ \le \ y_1 \ \le 1 , \ \ 0 \ \ \le y_2 \ \ \le 1} \atop {0, \ \ \ elsewhere \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \right.\)

a)To find the marginal density of \(y_1\).

\(f_{y_1} (y_1) = \int \limits ^{\infty}_{-\infty} f_{y_1,y_2} (y_1 >y_2) \ dy_2\)

\(=\int \limits ^{1}_{0}(y_1+y_2)\ dy_2\)

\(=\int \limits ^{1}_{0} \ \ y_1dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2\)

\(= y_1 \ \int \limits ^{1}_{0} dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2\)

\(= y_1[y_2]^1_0 + \bigg [ \dfrac{y_2^2}{2}\bigg]^1_0\)

\(= y_1 [1] + [\dfrac{1}{2}]\)

\(= y_1 + \dfrac{1}{2}\)

i.e.

\(f_{(y_1}(y_1)}= \left \{ {{y_1+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.\)

The marginal density of \(y_2\) is:

\(f_{y_1} (y_2) = \int \limits ^{\infty}_{-\infty} fy_1y_1(y_1-y_2) dy_1\)

\(= \int \limits ^1_0 \ y_1 dy_1 + y_2 \int \limits ^1_0 dy_1\)

\(=\bigg[ \dfrac{y_1^2}{2} \bigg]^1_0 + y_2 [y_1]^1_0\)

\(= [ \dfrac{1}{2}] + y_2 [1]\)

\(= y_2 + \dfrac{1}{2}\)

i.e.

\(f_{(y_1}(y_2)}= \left \{ {{y_2+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.\)

b)

\(P\bigg[y_1 \ge \dfrac{1}{2}\bigg |y_2 \ge \dfrac{1}{2} \bigg] = \dfrac{P\bigg [y_1 \ge \dfrac{1}{2} . y_2 \ge\dfrac{1}{2} \bigg]}{P\bigg[ y_2 \ge \dfrac{1}{2}\bigg]}\)

\(= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} f_{y_1,y_1(y_1-y_2) dy_1dy_2}}{\int \limits ^1_{\frac{1}{2}} fy_1 (y_2) \ dy_2}\)

\(= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} (y_1+y_2) \ dy_1 dy_2}{\int \limits ^1_{\frac{1}{2}} (y_2 + \dfrac{1}{2}) \ dy_2}\)

\(= \dfrac{\dfrac{3}{8}}{\dfrac{5}{8}}\)

\(= \dfrac{3}{8}}\times {\dfrac{8}{5}}\)

\(= \dfrac{3}{5}}\)

= 0.6

(c) The required probability is:

\(P(y_2 \ge 0.75 \ y_1 = 0.50) = \dfrac{P(y_2 \ge 0.75 . y_1 =0.50)}{P(y_1 = 0.50)}\)

\(= \dfrac{\int \limits ^1_{0.75} (y_2 +0.50) \ dy_2}{(0.50 + \dfrac{1}{2})}\)

\(= \dfrac{0.34375}{1}\)

= 0.34375

Answer:

c (62)

Step-by-step explanation: