A class has 11 seniors and 7 juniors. If two students are chosen at random, what is
the probability that the students chosen will be a senior and a junior?

Answer:

[tex] x = 7[/tex]

Step-by-step explanation:

Value of the exterior angle is equal to the addition of the opposite interior angles in a triangle

[tex]19 + 20 = 6x - 3 \\ 39 = 6x - 3 \\ 39 + 3 = 6x \\4 2 = 6x \\ \frac{42}{6} = \frac{6x}{6} \\ x = 7[/tex]

Answer:

A

Step-by-step explanation:

5.5 x 2050 = 11,275

Answer:

Step-by-step explanation:

11x+11

Answer:

Negative Nine and Nine Hundred Thirty-Eight Thousandths

Step-by-step explanation:

Answer: i believe its the last answer

Step-by-step explanation:

Because in decimals theres tens place, 100s place, 1000s place, etc. going from left to right after the decimal point which is the "and" in the statement. In this decimal theres only 3 numbers after the decimal point so that means to goes to the 1000s place.

Answer:

2

Step-by-step explanation:

Answer:

c

because i just did the test

Answer:

Answer: B. It is a perfect square

Step-by-step explanation:

Radical Expressions

Melissa multiplied [tex]\sqrt{a}[/tex] and [tex]\sqrt{b}[/tex] and got a rational number.

We are also given that a and b are both natural numbers. It means their product must be not only rational but also a natural number.

We can write that product like:

[tex]\sqrt{a} \cdot \sqrt{b}=\sqrt{a\cdot b}[/tex]

If the result is a natural number, then the product of a and b must be a perfect square. so the radical disappears.

Answer: B. It is a perfect square

Answer:

See the work below.

Step-by-step explanation:

First, find the slope.

y2-y1/x2-x1

-4--4/5-0 = 0/5

Slope is 0

Use point-slope form.

y-y1=m(x-x1)

y+4=0(0-0)

y+4=0+0

y=-4

??????????????????? I do not understand I do not understand I do not understand

Answer:

θ = cos-1 (38/47)

Step-by-step explanation:

sin θ = [tex]\frac{opposite}{hypotenuse} = \frac{27}{47}\\[/tex]

θ = sin-1 (27/47)

cos θ = [tex]\frac{adjacent}{hypotenuse} = \frac{38}{47}[/tex]

θ = cos-1 (38/47)

tan θ = [tex]\frac{opposite}{adjacent} = \frac{27}{38}[/tex]

θ = tan-1 (27/38)

Answer:

i) 3/8

ii) -2

Step-by-step explanation:

i) 1/2*3/2/(1/2+3/2)

3/4/2

3/4*1/2

3/8.

ii) 1/2+3/2 / 1/3-3/2

2/-1

-2.

Hope this helps :)

Answer:

$162

Step-by-step explanation:

you divide 6 months by 2 then you divide 108 by 2 then you add the half of 108 and plus it to 108 then you get your total.

The function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135

A unit rate means a rate for one of something.

Given that, You are taking a TAE Kwan Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months.

We have unit rate = $15 per month

Since, one month cost is $15 therefore, for 6 months = 15×6 = $90

Therefore, cost of uniform = $108 - $90 = $18

Let you are taking classes for x months, the function of the length of time you have been taking classes,

f(x) = 15x

For 9 month cost =

f(9) = 15×9 = 135

Hence, the function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135

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Answer:

21,200

Step-by-step explanation:

Votes casted = 53000

Votes received = 3/5

Votes did not receive = 1- 3/5 = (5-3)/5 = 2/5

Total votes not received by winner

= 53000 *2/5

= 10,600 * 2

= 21,200

Where are the rectangles????

Answer:

x ≤ 6

Step-by-step explanation:

Let the unknown number be x;

9 times the number is expressed as 9x

9 more than 9 times a number is expressed as 9x + 9

9 more than 9 times a number is less than or equal to 163 is then expressed as;

9x + 9≤ 63

≤ is the less than or equal to sign

Find the solution;

9x ≤ 63 - 9

9x≤54

x ≤ 54/9

x≤ 6

Hence the required solution is x ≤ 6

Step-by-step explanation:

1) 19+i

2) 9-3i

hope this helps bro

Answer:

1. 19

2. 9 + 11i

Step-by-step explanation:

first problem:

first, we rewrite it and remove the parentheses.

12 - 3i + 7 + 3i

then, just remove the opposites and calculate.

19

second problem:

again, we rewrite and remove the parentheses.

12 + 4i - 3 + 7i

then, we calculate and collect like terms.

9 + 11i

Answer:

triangle A because the measurements would be the same. If you add 30 + 112, you get 150. Triangles add to 180, so the missing angle of the first one is 30.

this means triangle A has the same measurements as ABC

Answer:

Yes

Step-by-step explanation:

If you notice, X goes up 1/4 or 0.25 every time and Y goes up 3 everytime.

So they are proportional. H

Hope this helps plz hit the crown :D

Answer:

No it doesn't

Step-by-step explanation:

The proportional relationship in x is not the same as y for there to be a relationship it could be like 2, 4, 6, 8 etc

Answer:

[tex]\%Percent = 28\%[/tex] ---- Before Lunch

[tex]\%Percent = 72\%[/tex] --- After Lunch

Step-by-step explanation:

Given

[tex]Total = 134[/tex]

[tex]Before\ Lunch = 38[/tex]

[tex]After\ Lunch = 96[/tex]

Required

Determine the percentage of students seen in both cases.

This percentage is calculated by dividing the number of students seen by the total number of students. Then multiplied by 100%

i.e

[tex]\%Percent = \frac{Seen}{Total} * 100\%[/tex]

- Before Lunch;

[tex]\%Percent = \frac{Before\ Lunch}{Total} * 100\%[/tex]

[tex]\%Percent = \frac{38}{134} * 100\%[/tex]

[tex]\%Percent = \frac{3800\%}{134}[/tex]

[tex]\%Percent = 28\%[/tex] --- approximated

- After Lunch;

[tex]\%Percent = \frac{After\ Lunch}{Total} * 100\%[/tex]

[tex]\%Percent = \frac{96}{134} * 100\%[/tex]

[tex]\%Percent = \frac{9600\%}{134}[/tex]

[tex]\%Percent = 72\%[/tex] --- approximated

Answer:

Option D. is correct

explanation:

x = 115

<3

Answer:

Number 16 is C and number 17 is D

Step-by-step explanation:

Can I get my points love these kind of questions

Answer:

A) -10°F

Step-by-step explanation:

Given that:

Boiling point of water gets affected when there is a change in the elevation.

Expression to represent the temperature i.e. boiling point w.r.to altitude [tex]A[/tex] is given by the equation:

Temperature in [tex]^\circ F[/tex] = [tex]\frac{-2A}{1000}[/tex]

Given that, the altitude, [tex]A[/tex] = 5,000 feet

To find:

The number of degrees Farenhite at which the boiling point of water will change.

Solution:

Here, we are given the expression:

Temperature in [tex]^\circ F[/tex] = [tex]\frac{-2A}{1000}[/tex]

And value of altitude, [tex]A[/tex] = 5,000 feet

Let us put the value of [tex]A[/tex] in the equation and let us find the value of temperature in [tex]^\circ F[/tex].

Temperature in [tex]^\circ F[/tex] =

[tex]\frac{-2\times 5000}{1000}\\\Rightarrow -2\times 5\\\Rightarrow \bold{-10^\circ F}[/tex]

Therefore, the answer is:

A) -10°F

ten crore is answer for India system

Step-by-step explanation:

hundred million is answer for international system

If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.

An equation is an expression that shows the relationship between two or more numbers and variables.

If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.

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Answer: no solution

Step-by-step explanation:

Answer: 72=6c+10b

Step-by-step explanation:

Use properties of Logarithms to simplify the limit:

[tex]\lim_{x \to \0^+}[/tex]e^3/x(e^x+x)

Move the limit to the exponent:

e^x[tex]\lim_{x \to \0^+}[/tex]3/xln(e^x+x)

Rewrite as:

e^x[tex]\lim_{x \to \0^+}[/tex]3ln(e^x+x)/x

Move 3 outside the limit and applay L'hospitals rules to get the final answer e^6

Answer:

B. must undergo a logarithmic transformation before undergoing logistic regression.

Step-by-step explanation:

A logistic regression model allows us to establish a relationship between a binary outcome variable and a group of predictor variables. It models the logit-transformed probability as a linear relationship with the predictor variables.