Triangle ( find the length) i would be more than thankful if you could do both parts ❤️

Answer: BCD = 19 degrees

Step-by-step explanation:

It is the same angle as EFK, as shown by the symbol.

Answer:

19°

Step-by-step explanation:

ABC and BCD are alternate angles, so, they must be equal.

So, BCD = 19°

Answer:

Step-by-step explanation:

1 treat bag \(=\frac{\$5.20}{2} =\$2.60\)

So 5 treat bags \(=5\times \$2.60=\$13.00\)

Dani would have to spend an extra $13 to make 5 more bags.

The equivalent fractions of 2/5 and 1/7 are 14/35 and 5/35

From the question, the fractions are given as

2/5 and 1/7

The denominators of the fractions are

Denominators = 5 and 7

Take the LCM of the denominators

LCM = 5 * 7

Evaluate

LCM = 35

This means that the denominators of the equivalent fractions must be 35

When this is done, we have

14/35 and 5/35

This is done by multiplying the numerator and the denominator by the same factor

Hence, the fractions are 14/35 and 5/35

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Answer:

.3636 repeating

infinitly

Answer: 0.3636

Did this help? Mark it brainliest and comment below if it did.

Step-by-step explanation:

b = age of Bailey

c = age of Celine

b + c = x

c = b + 8

so, using that identity in the first equation

b + b + 8 = x

2b + 8 = x

or, to go "after" c (Celine) :

b = c - 8

c - 8 + c = x

2c - 8 = x

2c = x + 8

c = (x + 8)/2

in x years c will have increased to c+x, and b to b+x.

so,

b + x + c + x = x + 2x = 3x

and

2c - 8 = 3x

2c = 3x + 8

c = (3x + 8)/2

Answer:

1920 words

Step-by-step explanation:

Set up a proportion, where x is the number of words Lucy can type in 32 minutes:

\(\frac{300}{5}\) = \(\frac{x}{32}\)

Cross multiply and solve for x:

5x = 9600

x = 1920

So, in 32 minutes, Lucy can type 1920 words

Using the concepts of hypothesis test, we got that something is happening that wasn’t accounted for as a result when a significant chi-square value is obtained.

A chi-squared test (symbolically represented as χ2) is basically the data analysis on the basis of the observations of a random set of variables. Usually, it is the comparison of two statistical data sets. This test was introduced by Karl Pearson in the 1900 for categorical data analysis and distribution. So it was mentioned as a Pearson’s chi-squared test.

The chi-square test is actually used to estimate how likely the observations that are made would be, by considering assumption of the null hypothesis as true.

Hence, a study is designed to test whether there is a relationship between natural hair colors and eye colors, in that case if a significant chi-square value is obtained it suggests that something is happening that wasn’t accounted for .

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Answer:

8 - x

Step-by-step explanation:

The equation of an ellipse with the center at (0,0), a height of 10 units, and a width of 16 units is:

(x^2/8^2) + (y^2/5^2) = 1

In this equation, the denominators 8 and 5 are the semi-major axis and semi-minor axis, respectively.

An ellipse is a geometric shape that resembles a stretched or compressed circle. It has two axes: the major axis (which represents the longest diameter of the ellipse) and the minor axis (which represents the shortest diameter of the ellipse).

In the given problem, the center of the ellipse is (0,0), which means the coordinates of the center coincide with the origin of the coordinate system. This simplifies the equation because the x and y terms are centered around zero.

The height of the ellipse is 10 units, which is twice the length of the semi-minor axis. The width of the ellipse is 16 units, which is twice the length of the semi-major axis.

To determine the equation of the ellipse, we divide the x and y terms by the squared values of the semi-major and semi-minor axes, respectively. This normalizes the coordinates so that the equation holds true for points on the ellipse.

By setting the sum of the squared terms equal to 1, we ensure that points lying on the ellipse satisfy the equation. This equation represents an ellipse with its major axis along the x-axis and its minor axis along the y-axis.

Overall, the equation (x^2/8^2) + (y^2/5^2) = 1 represents an ellipse centered at the origin (0,0), with a height of 10 units and a width of 16 units.

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Answer:

2

Step-by-step explanation:

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

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Answer:-10.75

Step-by-step explanation:

Using Bayes' theorem, David's updated estimate of getting married, based on Madame Zora's prediction, is 42.9%.

How to solve using Bayes' theorem?

To update David's prior estimate of getting married (P(A)) based on Madame Zora's prediction (Event B), we can use Bayes' theorem:

P(A|B) = P(B|A) * P(A) / P(B)

We already know P(B|A) = 0.6, Madame Zora's True Positive rate, which is the probability of her making a correct prediction given that David actually gets married. We also know P(B|~A) = 0.2, her False Positive rate, which is the probability of her making a prediction of marriage when David doesn't actually get married.

To calculate P(B), the probability of Madame Zora making any prediction of David getting married, we need to consider two cases:

P(B) = P(B|A) * P(A) + P(B|~A) * P(~A)

where P(~A) = 1 - P(A) is the probability of David not getting married.

P(B) = 0.6 * 0.25 + 0.2 * 0.75 = 0.35

Now we can calculate the posterior probability of David getting married given Madame Zora's prediction:

P(A|B) = P(B|A) * P(A) / P(B) = 0.6 * 0.25 / 0.35 = 0.429

So David's updated estimate of getting married, based on Madame Zora's prediction, is 42.9%. This is higher than his prior estimate of 25%, so he should be somewhat more optimistic about his chances of finding a bride. However, Madame Zora's False Positive rate is relatively high, so David should still take her prediction with a grain of salt.

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Answer:

40+15i

Step-by-step explanation:

I don't know why you are doing this when you clearly know the answer.  Have a good day.

Answer:

no solution

Step-by-step explanation:

Given

3(x - 3) = 3x , that is

3x - 9 = 3x ( add 9 to both sides )

3x = 3x + 9 ( subtract 3x from both sides )

0 = 9 ← not possible

This indicates the equation has no solution

Answer:

x = 1, x = 7

Step-by-step explanation:

The roots are the values of x where the graph crosses the x- axis

The graph crosses the x- axis at 1 and 7 , then

the roots are x = 1, x = 7

Answer:

(1,0) and (7,0)

Step-by-step explanation:

Roots are also known as the zeroes, or x-intercepts. This is where the line crosses the x axis, here it crosses where x is 1 and where x is 7.

Answer:

29

Step-by-step explanation:

to get from -16 to -7 you have to add 9

to get from -7 to 2 you have to add 9

to get from 2 to 11 you have to add 9

and the same thing for 11 to 20

Answer: The answer

is  29 because the pattern of the number is 999999

Step-by-step explanation:

Step-by-step explanation:

Here is Slope-Intercept Form for a line: y=mx+b

m is the slope

b is the y intercept

The y intercept is basically the point on the y axis where the line touches.

I will do #3 for you.

Let's first look for the y intercept. We can see that the line touches the y axis at -4, so that's it.

Let's put it into our equation, plugging in -4 for b. This is what we have so far: y=mx-4

To complete this equation, we still need to find the slope, m.

To find it, look at the point where the y intercept is, and count how many units you need to go up or down the y axis, and then right or left the x axis to get to another point on the line. The slope is equal to the change in y ÷ the change in x.

So we see that there's another point on (-3, -2), so let's try to get there from the y intercept.

We need to move two units up and 3 to the left.

In terms of y, we went up +2, and in terms of x, we went down -3

So our slope is 2/-3 or -2/3.

Now that we have our slope (m) and y intercept (b), we can plug it into out Slope-Intercept Equation, plugging in -2/3 for m:

y=-2/3x-4.

We don't need to find x or y. This is our answer for 3. Using the same method, you should be able to find the equations for the rest of the graphs. Good luck.

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Answer:

9.6 m

Step-by-step explanation:

Given that :

Radius of circle = 5m

Using the labeled triangle :

Obtain OA:

OA = sqrt(Radius² - AR²)

AR =BM = 6/2 = 3

OA = sqrt(5² - 3²)

OA = Sqrt(25 - 9)

OA = Sqrt(16)

OA = 4

Area of triangle OSM

0.5 * 5 * SM = 0.5 * 4 * 6

2.5 * SM = 12

SM = 12 / 2.5

SM = 4.8

Distance RM = RS + SM

SM = RM

RM = 4.8 + 4.8

RM = 9.6 m

0.2164 is probability that exactly 4 of the couples said that they paid for their honeymoon.

What are examples and probability?

If x = no of married couples out of 5 who paid for their honeymoon .

then X ~ ( 5 , 0.56 )

P (X = 4 ) =  5C4( 0.56 )⁴ ( 0.44)¹

                = 0.2164

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Answer:

534.37500

Step-by-step explanation:

1/42.75 = 12.5/x

x= 534.37500

you setup a ratio of litre/cost = litre/cost

you can also multiply 42.75 by 12.5, which is way easier.

32

Step-by-step explanation:

32

Answer:

the answer is 1/5 x as a approximate equation

Step-by-step explanation:

the expression is simplifying to 11+2x

Answer:

35 5x7=35

Step-by-step explanation:)

35 \(hope you love it\)

Perimeter:

3+3+2+3+10+3+3+6+2+3=38

Perimeter is 38

Area:

Shape a: 3*3=9

Shape b: 3*5=15

Shape c: 10*3=30

30+15+9=54

Area is 54

Step-by-step explanation:

The perimeter of a shape is all the outside measurements of its sides rogether. So, add all the sides.

\(3 + 3 + 2 + 3 + 3 + 3+ 10 + 3 + 3 + 6 \\ = 39\)

So 39 is your perimeter.

As for the area, you could do this in many ways since this shape can be cut up into all sorts of smaller shapes, but I'm assuming you mean surface area. To get that, take the area of all the shapes there are in this one and then add them all together. I added an attachment of the areas I'm going to take. I separated the shape into three different ones.

These are all rectangles, and the area for a rectangle is lw.

So...

\(lw + lw + lw\)

^This will be the formula to use for the area. Keep in mind, these are all different areas separately, so you do not combine the like terms (as tempting as it may be).

Now just substitute: 3×3 3×5 3×10

\((3 \times 3) + (5 \times 3) + (10 \times 3) \\ 9 + 15 + 30 \\ 54\)

So 54 is your area.

Answers:

\(39cm\)

\(54{cm}^{2} \)

Answer:

no c

Step-by-step explanation:

Answer:

A) 126π mm²

Step-by-step explanation:

The central angle theorem of circle:

The central angle subtended by two points on a circle is twice the inscribed angle subtended by those points.

          ∠BAC = 2 *70°

                     = 140°

      \(\theta = 140^\circ\)

      r = 18 mm

\(area \ of \ Sector \ BAC = \dfrac{\theta}{360}*\pi r^2\)

                                 \(\sf =\dfrac{140}{360}*\pi *18*18\\\\ = 126\pi \ mm^2\)