What is the length of the indicated side of the trapezoid? 18 in 15 in 17 in 16 in

Answer:

0.6957 = 69.57% probability that you are randomly assigned a General Practitioner or a doctor under the age of 50.

Step-by-step explanation:

I am going to solve this question treating these events as Venn events.

I am going to say that:

Event A: General practitioner.

Event B: Under the age of 50.

Suppose that 9 out of the 23 doctors in a small hospital are General Practitioners

This means that \(P(A) = \frac{9}{23}\)

10 out of the 23 are under the age of 50

This means that \(P(B) = \frac{10}{23}\)

3 are both General Practitioners and under the age of 50.

This means that \(P(A \cap B) = \frac{3}{23}\)

What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 50?

This is:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

Considering the values we have for this exercise.

\(P(A \cup B) = \frac{9}{23} + \frac{10}{23} - \frac{3}{23} = \frac{9+10-3}{23} = \frac{16}{23} = 0.6957\)

0.6957 = 69.57% probability that you are randomly assigned a General Practitioner or a doctor under the age of 50.

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

Answer:

15x = 15x

or

0 = 0

Step-by-step explanation:

21(x + 1) - 6x = 15x + 21

21x + 21 -6x = 15x + 21

21x - 6x = 15x

15x = 15x

or

0 = 0

this equation is always true

Step-by-step explanation:

2X - 20 =86 ( Alternate angles are equal)

2X = 86 - 20

2X = 66

X = 33

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

That is correct, if you're asking if it's true or false

Step-by-step explanation:

if u could subscribe to my friend penny_pg3d that would be great!

Answer:

6

Step-by-step explanation:

Prime factorization of 60: 2 • 2 • 3 • 5

Prime factorization of 78: 2 • 3 • 13

Prime factorization of 66: 2• 3• 11

Common factors = 2* 3 = 6

9514 1404 393

Answer:

  18.98 pounds

Step-by-step explanation:

Let 'e' represent the number of pounds of expensive candy Ellen should use. Then 27-e is the number of pounds of less expensive candy. Her total cost is ...

  1.45(27 -e) +3.74e = 27(3.06)

  (3.74 -1.45)e = 27(3.06 -1.45) . . . . subtract 1.45(27)

  e = 27(3.06 -1.45)/(3.74 -1.45) = 27(1.61/2.29) ≈ 18.98

Ellen should use about 18.98 pounds of the expensive candy.

_____

Additional comment

We showed the solution this way because it is the generic solution to any mix problem. The fraction of the mix that is the highest-value contributor is the ratio of the difference between the mix value and the lowest contributor to the difference between contributors. Here, that fraction is ...

(3.06 -1.45)/(3.74 -1.45) = (1.61/2.29)

Answer:

1.Order the data from least to greatest.

2.Find the median.

3.Calculate the median of both the lower and upper half of the data.

4.The IQR is the difference between the upper and lower medians.

Step-by-step explanation:

Answer:

60mph

Step-by-step explanation:

Answer:

Manny drove 45 miles in 0.75 hours.What was the average rate that he drove in miles per hour?

60 mph

Step-by-step explanation:

Answer:

(1,2); (1,4); (4,4)

Step-by-step explanation:

The reflection will begin at y=1. SO the x-axis is at 1 for the first two like on the other side. The same goes for the last point to the left. Hope it helps!

Answer:a

Step-by-step explanation:

Answer:

y > -1/4x-6

Step-by-step explanation:

Y intercept= -6

slope= -1/4 (line is also decreasing so slope is negative)

The lines are dotted so it's < or >

The graph shaded up so it's >

Answer:

always

Step-by-step explanation:

......................

I don't understand what you asked?

As per the Order of operations, the values of the expression are

A) 28/4-2 is 5

B) 6+12*2-8 is 22

C) 2%5 is 2

D) 6+17%3-2 is 6

E) 2+22*(9-7) is 46

An expression is a combination of numbers, variables, and mathematical operations that produce a value. In this answer, we'll look at some sample expressions and explain how to solve them step-by-step.

A) 28/4-2

This expression involves two operations: division and subtraction. To solve it, we need to follow the order of operations, which is also known as PEMDAS: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. In this case, we perform division first, which gives us 7. Then, we subtract 2 from 7 to get the final answer, which is 5.

B) 6+12*2-8

This expression contains multiple operations: addition, multiplication, and subtraction. Again, we need to follow the order of operations, which means we perform multiplication first. 12*2 gives us 24. Then, we add 6 to 24, which gives us 30. Finally, we subtract 8 from 30 to get the final answer, which is 22.

C) 2%5

The % symbol represents the modulus operator, which gives us the remainder of a division. In this case, we divide 2 by 5 and get a remainder of 2. Therefore, the value of this expression is 2.

D) 6+17%3-2

This expression involves addition, modulus, and subtraction. Following the order of operations, we perform modulus first. 17%3 gives us a remainder of 2. Then, we add 6 to 2, which gives us 8. Finally, we subtract 2 from 8 to get the final answer, which is 6.

E) 2+22*(9-7)

This expression contains multiplication, subtraction, and addition. Following the order of operations, we perform the subtraction inside the parentheses first. 9-7 gives us 2. Then, we multiply 22 by 2, which gives us 44. Finally, we add 2 to 44 to get the final answer, which is 46.

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Answer:

Henrietta is incorrect

Step-by-step explanation:

Start in the tenths place and notice that 8 is greater than 6. This makes 0.8 greater than 0.64

You don't need to consider the hundredths place value unless both numbers in the tenths are the same.

Answer:

No, the two sides are not congruent.

I flipped my whole laptop around to check loll

Answer:

Step-by-step explanation:

graphing lines is just what it sounds like, you are taking the equation of the line and putting it on the graph. graphing inequalities shows the area of the coordinate plane that satisfies the inequality, it almost always splits the graph.

arithmetic: -6 , 1 , 8 , 15 , 22

geometric: 2 , 4 , 8 , 16, 32

Answer:

3x^5y^6 (a)

Step-by-step explanation:

La raiz de un productor es igual al producto de las raices de cada factor

^4√81 ^4√x^20 ^4√y^24

escriba el numero en forma exponencial an base 3

^4√3^4 ^4√x^20 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 y^6

simplifica el indice de la raiz y el exponente usando 4

3x^5y^6

Answer:

80

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle:

30 + 4x + 2 = 8 + 6x add like terms

32 + 4x = 8 + 6x move like terms to the same side of the equation:

32 - 8 = 6x - 4x

24 = 2x divide both sides by 2

12 = x now to find the angle replace x with 12

8 + 6*12 = 80

The approximate of √59 is 7.7 when rounded off to the nearest tenth place.

Given,  √59

we are asked to determine the approximation without using a square root button.

√59 is a decimal number since it is not a perfect square. Therefore, rather than finding a precise value, we will need to obtain a near approximation of 59 in decimal form.

the square root of the number 59 is:

7.6811

You rounded to the nearest tenths place. The 6 in the tenths place rounds up to 7 because the digit to the right in the hundredths place is 8.

= 7.7

When the digit to the right is 5 or greater we round away from 0.

7.6811 was rounded up and away from zero to 7.7

Hence we get the required approximation.

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Answer:

C

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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x=6

d=12

7x+12 or 7x+d

7(6) + 12 or (7x6) + 12 = 54

78-12 = 66

66/6 = 11

11x + 12 =78.

Answer:

its 2,4,6 - b,d,f

Step-by-step explanation:

The three points form a straight line.

The graph does not pass through the origin.

The graph does not a show a proportional relationship.

Answer:

2, 4, 6

Step-by-step explanation:

Step-by-step explanation:

The probability that Becky's proportion of poses held for over a minute is greater than Carla's is 0.741.

This can be determined by using the z-table, which shows the probability that a random variable is in the range that is a certain distance away from the mean.

In this case, we are looking at the probability that a random variable is greater than C, so we use the z-value for 0.741.

Answer:

There is a 3/5 chance of the first ball being white, and a 3/10 chance the second one is black.

Step-by-step explanation:

There are 5 balls, of which 3 are white, so you have a 3/5 chance of the first one being white. Then you have 2 white and 2 black balls. There is a 2/4 chance of picking a black ball. Multiply 3/5 and 2/4 to get 6/20, or 3/10 for choosing a white ball then a black ball.

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:    i am pretty sure it is 33

Step-by-step explanation: