WILL GIVE BRAINLIEST
15 POINTS
Determine how the triangles can be proven similar.

AA~
SSS~
SAS~
Not similar

Answer:

The probability mass function is:

[tex]P(X = x) = h(x,47,12,22) = \frac{C_{22,x}*C_{25,12-x}}{C_{47,12}}[/tex]

Step-by-step explanation:

The people are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability mass of the hypergeometric probability distribution is given by:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this question:

22 + 25 = 47 jurors, so [tex]N = 47[/tex]

22 are women, which means that [tex]k = 22[/tex]

Jury of 12, which means that [tex]n = 12[/tex].

Thus

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = x) = h(x,47,12,22) = \frac{C_{22,x}*C_{25,12-x}}{C_{47,12}}[/tex]

Which is the probability mass function.

Answer:

1 and 3 are the odd numbers that are less than 5. 0, 2 and 4 are the even numbers that are less than 5

Step-by-step explanation:

Answer:

7 square root 9^4

Step-by-step explanation:

Answer:

Its speed is 14 mph.

Step-by-step explanation:

Given that regarding racer called The Whirlwind, its poster says that in 1/20 hour it covers 7/10 mile, to determine what is the Whirlwind’s speed in miles per hour the following calculation must be performed:

1/20 x 60 = 0.05 x 60 = 3 minutes

7/10 = 0.7

Therefore, every 3 minutes the Whirlwind travels 0.7 miles.

60/3 = 20

0.7 x 20 = 14

Thus, in an hour it travels 14 miles, with which its speed is 14 mph.

9514 1404 393

Answer:

Step-by-step explanation:

a) Let p and d represent the prices of a bag of popcorn and a drink, respectively.

Mohamed's purchase is ...

  2p +3d = 18.25

Miguel's purchase is ...

  4p +2d = 27.50

__

b) We can subtract half the second equation from the first to get an equation for the cost of a drink.

  (2p +3d) -1/2(4p +2d) = (18.25) -1/2(27.50)

  2d = 4.50 . . . . . . simplify

  d = 2.25 . . . . . . divide by 2

  4p +2(2.25) = 27.50 . . . . substitute for d in the second equation

  4p = 23.00 . . . . . . . . . subtract 4.50

  p = 5.75 . . . . . . . . . divide by 4

The cost of a bag of popcorn is $5.75; the cost of a drink is $2.25.

Answer:

42

Step-by-step explanation:

(adjacent straight angles sum up to 180)

3x+54=180

x=42

Answer:

B-100 If the price of tacos is $1.75, th consumers will buy 100 tacos

Answer:

hey um I cant see the picture

An inverse function is y = k/x

replace x and y with the given values:

6 = k/18

Solve for k by multiplying both sides by 18:

k = 108

1. Find the equation and solve for k: y varies inversely as x and y = 6 when x = 18.

[tex]\sf{The \: relation \: y \: varies \: inversely \: as \: x \: translates \: to \: y = \frac{k}{x}.}[/tex]

Substitute the values to find k:

[tex]\sf\rightarrow{y= \frac{k}{x} }[/tex]

[tex]\sf\rightarrow{6= \frac{k}{18} }[/tex]

[tex]\sf\rightarrow{k=(6)(18)}[/tex]

[tex]\sf\rightarrow{K={\color{magenta}{108}}}[/tex]

[tex]\sf{The \: equation \: of \: variations \: is \: y={ \color{red}{ \frac{108}{x} }}}[/tex]

[tex]{\huge{\color{blue}{━━━━━━━━━━━━}}}[/tex]

#CarryOnMath⸙

Answer:

The answer is "9 and 7".

Step-by-step explanation:

Given:

[tex]A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right][/tex]

Using formula:

[tex]|A-\lambda \cdot I|= 0\\\\[/tex]

[tex]\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\[/tex]

[tex]\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\[/tex]

Answer:

16

Step-by-step explanation:

From the question given above, the following data were obtained:

1 = 1

2 = 4

3 = 9

4 =?

Observing the data, we can see that the numbers on the right side are simple the squares of the numbers on the left side. This is illustrated below:

1 = 1² = 1

2 = 2² = 4

3 = 3² = 9

Thus, we shall use the same logic to obtain that of 4. This is illustrated below:

4 = 4² = 16

Thus the answer to the question is 16.

Answer:

p = 28.56

Step-by-step explanation:

Circumference of circle

c = 2πr

Since this is a semicircle the perimeter is half the circumference

p = πr

p = 3.14 * 4

p = 12.56

---------------------------

Triangle

the outer perineter is just the two outer sides

p = 6 + 10

p = 16

-------------------------

total outer perimeter

p = 12.56 + 16

p = 28.56

Answer:

For example, 6(1001) + 3(110) = 6006 + 330 = 6336 is a palindrome. Since 11 is a factor of both 1001 and 110, we conclude that all four digit palindromes are divisible by 11.

Answer:

Step-by-step explanation:

No. 1 “The printing of more

currency notes will increase inflation.”

Answer:

1448

Step-by-step explanation:

24 × 63-64

Multiply 24 and 63 to get 1512.

1512-64

Subtract 64 from 1512 to get 1448.

answer

1448

Answer:

a. 0.302 dB/s

b. 2.34 dB/s

c. 1.24 dB/s

Step-by-step explanation:

a) Find the rate of change of the sound pressure P with respect to time if W=7.2 and dW/dt = 0.5 at some given time t.

Since P = 10log(W/W₀), its rate of change with respect to time is

dP/dt = dP/dW × dW/dt

dP/dW = d[10logW - 10logW₀]/dt

dP/dW = d[10lnW/2.303 - 10logW₀]/dt

= 10/2.303W - 0

= 10/(2.303W)

dP/dt = dP/dW × dW/dt

dP/dt = 10/(2.303W) × dW/dt

Since dW/dt = 0.5 when W = 7.2, then

dP/dt = 10/(2.303 × 7.2) × 0.5

dP/dt = 10/16.5816 × 0.5

dP/dt = 0.603 × 0.5

dP/dt = 0.302 dB/s

b) If the variable sound power W is given by W = t² + t + 1, find the rate of change of the sound pressure P, at time t = 3s.

Since P = 10log(W/W₀), its rate of change with respect to time is

dP/dt = dP/dW × dW/dt

dP/dW = d[10logW - 10logW₀]/dt

dP/dW = d[10lnW/2.303 - 10logW₀]/dt

= 10/2.303W - 0

= 10/(2.303W)

and dW/dt = d(t² + t + 1)/dt = 2t + 1

So, dP/dt = dP/dW × dW/dt

dP/dt = 10/(2.303W) × (2t + 1)

dP/dt = 10(2t + 1)/(2.303W)

dP/dt = 10(2t + 1)/[2.303(t² + t + 1)]

we then substitute t = 3 into the equation

dP/dt = 10(2t + 1)/[2.303(t² + t + 1)]

dP/dt = 10(2(3) + 1)/[2.303((3)² + 3 + 1)]

dP/dt = 10(6 + 1)/[2.303(9 + 3 + 1)]

dP/dt = 10(7)/[2.303(13)]

dP/dt = 70/29.939

dP/dt = 2.34 dB/s

c) If W = cos 0.2t, find the rate of change of the sound pressure P, at time t = 15 (calculators in radians)

Since dP/dt = dP/dW × dW/dt and dP/dW = 10/(2.303W) and W = cos(0.2t), dW/dt = -0.2sin(0.2t)

So, dP/dt = dP/dW × dW/dt

dP/dt = 10/(2.303W) × -0.2sin(0.2t)

dP/dt = -20sin(0.2t)/(2.303W)

dP/dt = -20sin(0.2t)/(2.303cos(0.2t))

dP/dt = -20tan(0.2t)/2.303

when t = 15, we have

dP/dt = -20tan(0.2 × 15)/2.303

dP/dt = -20tan3/2.303

dP/dt = -20 × -0.1425/2.303

dP/dt = 2.8509/2.303

dP/dt = 1.238

dP/dt ≅ 1.24 dB/s

Answer:

-3/2

Step-by-step explanation:

Additive inverse of 2 = -2

Multiplicative inverse of 2 = ½

→ Sum = -2 + ½

→ Sum = (-4 + 1)/2

→ Sum = -3/2

Answer:

50

Step-by-step explanation:

The given angles in the triangle are vertically opposite angles. Hence;

9x - 4 = 8 + 7x

Collect the like terms

9x - 7x = 8 + 4

2x = 12

x = 12/2

x = 6

Get the bolded angle

Bolded angle= 8 + 7x

Blded angle = 8 + 7(6)

Bolded angle = 8 + 42

Bolded angle = 50

Answer:

y = (-1/5)x + 23/5

Step-by-step explanation:

Given:

Two points;

(-2,5) and (3,4)

Find:

Equation of slope

Computation:

y = mx + b

5 = m(-2) + b

5 = -2m + b .......... Eq1

4 = m(3) + b

4 = 3m + b .......... Eq2

Eq2 - Eq1

-1 = 5m

m = -1/5

5 = -2m + b

5 = -2(-1/5) + b

5 = 2/5 + b

b = 23/5

y = mx + b

y = (-1/5)x + 23/5

Answer:

688

Step-by-step explanation:

For delta math

Answer:

4080 gm

Step-by-step explanation:

To bake one cake, it will take us 650 gm flour and 30 gm sugar. When we add both of them together, it gives 680 gm (650+30). But this is only for one cake. To find the total amount of flour and sugar needed to bake 6 cakes, we will have to multiply 680 by 6. That will give you 4080 gm which is your final answer.

Answer: [tex]6x^3 +30x^2 +4x+20[/tex]

Step-by-step explanation:

[tex](6x^2 +4)(x+5)\\\\ =6x^3 +30x^2 +4x+20[/tex]

Answer:

B. L BAT = L CAT

Step-by-step explanation:

__________

Answer:

<5 and <7 are corresponding angles.

Step-by-step explanation:

<5 and <7 are corresponding angles.  They are on the same side of the transversal and on the same position on each of the parallel lines

Answer:

m∠A = 32°

Step-by-step explanation:

8^2 = 12^2 + 15^2 - 2*12*15*cosA

Answer:

B

Step-by-step explanation:

did it on edge

Answer:

1

Step-by-step explanation:

Slope = change in y over change in x

If you look at the graph as y goes up 1 x goes up 1

So slope = 1/1 or just 1

Answer:

m=1

Step-by-step explanation:

Hi there!

We're given the graph of a line and we need to find the slope of the line

There are many ways to do this, but the easiest is to calculate it from two points

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) are points

So we can take 2 points from the graph of the line to find the slope

For example, let's take (-1,0) and (0,1)

Let's label their values to avoid any confusion before we substitute their values into the formula

[tex]x_{1}[/tex]=-1

[tex]y_{1}[/tex]=0

[tex]x_{2}[/tex]=0

[tex]y_{2}[/tex]=1

now substitute into the formula *remember: we have SUBTRACTION in the slope formula

m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

substitute

m=[tex]\frac{1-0}{0--1}[/tex]

simplify

m[tex]\frac{1}{0+1}[/tex]

simplify again

m=[tex]\frac{1}{1}[/tex]

divide

m=1

Therefore the slope of the line is 1

Hope this helps! :)

Answer:

1/3a

Step-by-step explanation:

[tex] \frac{(a - 3)}{15a} \times \frac{5}{(a - 3)} = \frac{5}{15a} = \frac{1}{3a} [/tex]

Answer:

1. A. Quantitative data

B. Quantitative data

C. Qualitative data

D. Quantitative data

E. Qualitative data

F. Quantitative data

2.a. Yearly salaries: interval or ratio data

b. Employee numbers: interval or ratio data

c. Area codes : nominal data

d. The ages: interval or ratio data

e. Survey answers: ordinal data

f. IQ index: interval or ratio data

Explanation:

Qualitative data is data in the form of a quality such as a characteristic. It is usually a noun, such as whether a person is fair or dark in complexion. Quantitative data is data in form of quantity such as the amount in dollars of one's salary.

There are four levels of data measurement. They are: nominal data, ordinal data, interval data, and ratio data. Nominal and ordinal data are qualitative data while interval and ratio data are quantitative data.