A middle school held a Career Exploration Day where students could choose to hear an adult talk about his or her career. 15 students went to hear the doctor speak, and 21 students went to other sessions.

What is the probability that a randomly selected student went to hear the doctor?

Please mark brainliest this took a while to make!

Answer:

622

Counting the terms already shown, we would need 59 more. Since each term adds ten, let's make each term 10 added to the previous.

2,12,22,32,42,52,62,72,82,92,102,112,122,132,142,152,162,172,182,192,202,212,222,232,242,252,262,272,282,292,302,312,322,332,342,352,362,372,382, 392,402,412,422,432,442,452,462,472,482,492,502,512,522,532,542,552, 562,572,582,592,602,612,622

Answer:

5/24 kg

Step-by-step explanation:

5/6 ÷ 4/1 (keep-change-flip)

5/6 x 1/4 = 5/24

Answer:

xy = 16

Step-by-step explanation:

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{y}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 2xy to clear the fractions )

2y + 2x = xy ← factor out 2 from each term on the left side

2(y + x) = xy

substitute x + y = 8 into the left side

2(8) = xy , that is

xy = 16

Hey there!

Started at 3:20 and studied for 2 hours and 15 minutes

=> [tex]3:20 \\ 2:15 \\ \overline{5:35} \\ \overline{ } [/tex]

Therefore, He finished at 5:35

Answer:

[tex]\displaystyle 0,1922986515...\pi = \theta \\ 35° \approx \theta[/tex]

Step-by-step explanation:

[tex]\displaystyle sec^{-1}\:1\frac{177}{823} = \theta; 0,1922986515...\pi\:[or\:34,613757274...°] \\ \\ \boxed{0,1922986515...\pi = \theta\:[35° \approx \theta]}[/tex]

OR

[tex]\displaystyle cos^{-1}\:\frac{823}{1000} = \theta; 0,1922986515...\pi\:[or\:34,613757274...°] \\ \\ \boxed{0,1922986515...\pi = \theta\:[35° \approx \theta]}[/tex]

I am joyous to assist you at any time.

Answer:

6

Step-by-step explanation:

Factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factores of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

6 is the greatest common factor.

Answer:

6

Step-by-step explanation:

The common factors of 42 and 90 are 6,3,2,1

Therefore the greatest common factor of 42 and 90 is 6

Answer:

A. Both factors are positve, so the will be positive.

Answer:

A: because a positive with another positive will be a positive :)

Step-by-step explanation:

Answer:

A and C are stories that can be represented by the tape diagram.

Z-score of given data comes to be -5.30.

It is given that

Population mean μ= 310

Standard deviation σ= 20

Mean of sample data X= 295

Sample size n= 50

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

For a hypothesis test

Z-score = (X-μ)/(σ/√n)

Where, X = observed value

μ= mean

σ = standard deviation

n =sample size

Z-score of above data = (295-310)/(20/√50)

Z-score = -5.30

Therefore, Z-score of given data comes to be -5.30.

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Answer:

10

Step-by-step explanation:

as you want to find the square root of 100, by using a calculator you will find out that it is 10, also in other way you can check whether it is true by multiply 10 with 10, which you will get 100. in other way, square root of 100 means what value times with what value will get 100

Hey there!

First of all, what is this "√" sign?

It means "square root"

Wow, numbers have square roots? Yes.

The square root of a number is the opposite of squaring a number.

Squaring a number simply means multiplying it times itself.

So taking the square root of a number is the opposite of squaring a number.

So, we have

[tex]\bold{\sqrt{100} }[/tex]

What is the square root of 100? in other words, what number times itself equals 100?

That's right, 10.

Hence, the answer is:

[tex]\boxed{\boxed{\bold{10}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if you do, please comment.

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]

Answer:

Here is the steps. 67.5 cm^3

Step-by-step explanation:

4.5 * 6 = 27

27 * 2.5 = 67.5

Answer:

67.5 cm

Step-by-step explanation:

[tex]4\frac{1}{2}[/tex] × [tex]6[/tex] ×[tex]2\frac{1}{2}[/tex] = [tex]67\frac{1}{2}[/tex] or [tex]67.5[/tex]

Based on the calculations, the total volume of this wedding tent is equal to 4,914 [tex]ft^3[/tex]

Given the following data:

First of all, we would determine the volume of the right rectangular prism by using this formula:

[tex]V=LWH\\\\V=21 \times 27 \times 8\\\\V=4536\;ft^3[/tex]

Also, we would determine the volume of the pyramid by using this formula:

[tex]V=\frac{1}{3} BH\\\\V=\frac{1}{3}\times (21\times 27)\times 2\\\\V=378\;ft^3[/tex]

For the total volume:

Total volume = [tex]4536+378[/tex]

Total volume = 4,914 [tex]ft^3[/tex]

Read more on rectangular prism here: brainly.com/question/3867601

The value of i, the interest rate per period(monthly here)  that should be used in the considered formula is given by: Option B: 0.71

If we're given that:

Then, we get:

[tex]P = P_v\left(\dfrac{i}{1-(1+i)^{-n}}\right)[/tex]

For this case, we're provided that:

i = interest rate per period

And we have:

Interest rate compounding monthly = 8.5%

The interest rates are usually given for annual basis. Since i represents the rate per period, which is monthly here, thus, we will convert the rate 8.5% from annually to monthly.

Since 1 year = 12 months,

so 8.5% per year compounding monthly = (8.5/12)% per month compounding monthly

Thus, i = interest per period = interest per month = 8.5/12≈ 0.71 (in percentage)

Thus, the value of i, the interest rate per period(monthly here)  that should be used in the considered formula is given by: Option B: 0.71

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Answer:

Its D :)

Step-by-step explanation:

Answer:

6/10

Step-by-step explanation:

because 6dived by 2 =3

And 10divided by 2=5

So they’re equivalent

Answer:6/10

Step-by-step explanation: we all know you just cheeting in imagine math take ur awnsers and go have a good day

Answer:

1

hope this helps!! :)

Answer:

0.6 repeating, or 0.66666666666667

Step-by-step explanation:

remember to find common denominators!

Answer:

2/3

Step-by-step explanation:

To subtract fractions we need a common denominator.

Let's make 1/4 have the same denominator as 11/12.

Multiply by 3 so we get 3/12.

Then we can subtract.

11/12-3/12=8/12

We can simplify this to 2/3

Answer:

1/2

Step-by-step explanation:

[tex] \frac{5}{6} - x = \frac{1}{3} [/tex]

[tex] \frac{5}{6} - x = \frac{2}{6} [/tex]

[tex]x = \frac{3}{6} = \frac{1}{2} [/tex]

Answer: Equation of the line from D to C is y=2x+6?

Step-by-step explanation: Lines A to B and D to C looks parallel meaning they have the same slope but different Y intercept?

Answer:

the answer I got is:

a= 11√3b/b

b= 363/a^2

Answer:

A tangent to a circle at point P with coordinates is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c .

Step-by-step explanation:

Answer:

x=√−y2+7 or x=−√−y2+7

Step-by-step explanation:

Check the picture below.

Answer:

225

Step-by-step explanation:

a[tex]x^{2}[/tex] -  bx + c

[tex](\frac{b}{2}) ^{2}[/tex]

[tex](\frac{-30}{2}) ^{2}[/tex]

[tex](-15)^{2} \\[/tex]

225

[tex](x-15)^{2}[/tex] = [tex]x^{2}[/tex] - 30x + 225

[tex]\\ \tt\hookrightarrow (x+5)(x+8)[/tex]

[tex]\\ \tt\hookrightarrow x(x+8)+5(x+8)[/tex]

[tex]\\ \tt\hookrightarrow x^2+8x+5x+40[/tex]

[tex]\\ \tt\hookrightarrow x^2+13x+40[/tex]

Done!

Answer:

32

Step-by-step explanation:

The equation 4x+8 = -2-2+5x has only one solution x=12.

Given equation is:

4x+8 = -2-2+5x

An equation is an operator (denoted by =) that equates the two expressions.

On bringing variables to the left side and constants on the right side

4x-5x = -2-2-8

-x = -12

x =12

Therefore, the equation 4x+8 = -2-2+5x has only one solution x=12.

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Answer:

To reduce bias when estimating mean commuting time

Step-by-step explanation:

Given that the selection of adults is based on the three strata found in the region; urban, suburban, and rural areas where the population and proportion of adults commuting to work is progressively decreasing, using a uniform number or sample size will not increase sample error as there are more commuters in the urban areas than in the suburban or rural areas, likewise, there are more commuters in the suburban area than in the rural areas, and as such the proportion of those sampled in the urban  areas should be more than those surveyed in the suburban while those surveyed in the suburban areas should be more than those surveyed in the rural areas to reduce bias when estimating the mean as there will be more general representation.

Answer:

24 cars

Step-by-step explanation:

Given

[tex]Red:Blue = 3:2[/tex]

[tex]Cars = 40[/tex]

Required

Determine the number of red cars

Number of red cars is calculated using:

[tex]Red\ Cars = \frac{Red\ Ratio}{Total\ Ratio} * Cars[/tex]

[tex]Red\ Cars = \frac{3}{3 + 2} * 40[/tex]

[tex]Red\ Cars = \frac{3}{5} * 40[/tex]

[tex]Red\ Cars = \frac{3 * 40}{5}[/tex]

[tex]Red\ Cars = \frac{120}{5}[/tex]

[tex]Red\ Cars = 24[/tex]

Answer:

Fourth option

Step-by-step explanation:

Given the following question:

[tex]2^2+8^2\div2^2[/tex]

To find the answer we need to convert the exponents into integers and then solve using PEMDAS.

[tex]2^2+8^2\div2^2[/tex]
[tex]2^2=2\times2=4[/tex]
[tex]8^2=8\times8=64[/tex]
[tex]2^2=2\times2=4[/tex]
[tex]4+64\div4[/tex]
[tex]64\div4=16[/tex]
[tex]4+16[/tex]
[tex]4+16=20[/tex]
[tex]=20[/tex]

Your answer is "20" or the fourth option.

Hope this helps.

Answer:

x=1 and y=−1

Step-by-step explanation:

Use substitution in order to solve this.

Answer:

A=½bh

56=8a(½)

multiply by reciprocal both sides

112=8a

divide

14=a