1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no restrictions, as all members are eligible?

Answer: f(-3a-2)=-9a+13

Step-by-step explanation:

To find f(-3a-2), we plug in -3a-2 into f(x).

f(-3a-2)=3(-3a-2)+19              [distribute]

f(-3a-2)=-9a-6+19                  [combine like terms]

f(-3a-2)=-9a+13

Now, we know that f(-3a-2)=-9a+13.

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Step-by-step explanation:

Answer:

actually a 56 pound bag cost =9

so one pound bag cost =9/56=0.16 cents

Step-by-step explanation:

Given :

P( X = 70 ) = 0.62 .

P( X = 80 ) = 0.23 .

To Find :

We need to find If a person reaches their 70th birthday, what is the probability that they will live to age 80 .

Solution :

We need to find :

[tex]P(X=70 | X=80 )[/tex]

We know ,

[tex]P(x,y ) = \dfrac{P(x)}{P(y)}[/tex]

So ,

[tex]P(X=70 | X=80 )=\dfrac{P(X=80)}{P(X=70)}\\\\=\dfrac{0.62}{0.23}=0.371[/tex]

Hence , this is the required solution .

Answer:

I believe the answer is statements 1, 4, and 6.

Step-by-step explanation:

Answer:

1.4 and 1.7

Step-by-step explanation:

Answer:

[tex]k=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\sqrt{2k^2+17}-x=0[/tex]

Where:

[tex]k>0\text{ and } x=7[/tex]

And we want to find k.

Firstly, let's substitute 7 for x. So:

[tex]\sqrt{2k^2+17}-7=0[/tex]

Now, we can solve for k. Add 7 to both sides:

[tex]\sqrt{2k^2+17}=7[/tex]

Square both sides:

[tex]2k^2+17=49[/tex]

Subtract 17 from both sides:

[tex]2k^2=32[/tex]

Divide both sides by 2:

[tex]k^2=16[/tex]

Take the square root of both sides:

[tex]k=\pm\sqrt{16}[/tex]

Evaluate:

[tex]k=\pm 4[/tex]

Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:

[tex]k=4[/tex]

So, the value of k is 4.

And we're done!

The general form of the number is 28,700. The correct option is A.

Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.

The given number is 2.87 x 10⁴. The general form of the number can be written as:-

2.87 x 10⁴ = 2.87 x 10000

2.87 x 10⁴  = 28700

Multiply 2.87 by 10000 we will get the general form 28700 for the number.

Therefore, the general form of the number is 28,700. The correct option is A.

To know more about the standard form of the number follow

https://brainly.com/question/17136267

#SPJ5

Answer:

  D.  BC ≅ EF

Step-by-step explanation:

ASA means you're trying to show congruence by showing two angles A..A and the segment between them ..S.. are congruent. The figure shows two congruent angles. What remains is to show the segments between are congruent.

__

In ∆ABC, the marked angles are B and C, so the segment between them is BC.

In ∆DEF, the marked angles are E and F, so the segment between them is EF.

These are the segments that need to be shown congruent if you're using ASA.

  BC ≅ EF

Answer:

you can say how u shop a discount stores like shein and shop for clearance. You can also say that u used to spend money to keep up with the trends but u realized u needed the money for other important things, so u stopped

Step-by-step explanation:

Answer:

r = 8

Step-by-step explanation:

Solve for r:

r + 4 = 12

Subtract 4 from both sides:

r + (4 - 4) = 12 - 4

4 - 4 = 0:

r = 12 - 4

12 - 4 = 8:

Answer: r = 8

Hey there!

ANSWER: [tex]4.5 \text { and }1800[/tex]

5% of what is 90?

If you want to find 5% of what is 90, you can try doing 90/5%.

[tex]90/5[/tex]%[tex]=1800(ANSWER)[/tex]

To get the decimal form, you can do 90*5%.

[tex]90*5[/tex]%[tex]=4.5(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

(3z + 1)(3z + 4)

Step-by-step explanation:

[tex]9 {z}^{2} + 15z + 4 \\ = 9 {z}^{2} + 3z + 12z+ 4 \\ = 3z(3z + 1) + 4(3z + 1) \\ = (3z + 1)(3z + 4)[/tex]

Answer:

In ∆ABD and ∆ACD

<BAD =<CAD ( each are half of <A )

<D=<D ( each equal to 90°)

AD = AD ( common)

So ∆ ABD is congruent to ∆ ACD.

Then AB =AC (by C.P.C.T)

Hence,∆ABC is an iso - sceles triangle.

Answer:

This System has no solutions.

Answer:

It looks like this question is not solvable. So, if this is absolutely correct, write "no solution".

Step-by-step explanation:

Below is the first step to attempt solving the equation.

The little twos at the top of each number are called exponents. This means a number times itself.

So,

537*537=288,369

15.9*15.9=252.81

74*74=5476

Now, take the 288,369*252.81 to get a total of 72,902,566.89 .

Since this answer is (obviously) not equal to the 5476 on the other side, the two are not equal.

Here's how you'd work it out on paper to show it isn't solvable.

(537*537)*(15.9*15.9)= (74*74)

(288,369)*(252.81)= 5476

72,902,566.89 ≠5476

So the answer would be:

Not solvable.

Answer:

2419.0265 meters

Step-by-step explanation:

To find the answer you must first find the circumference of the circle. The circumference formula is C = 2 \pi r. So if you plug in 77 you get 483.8053. Then multiply that by 5 and you will have your final answer.

Answer:

y < -4/3 or y > 4/3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

10

-6

=6

Adding a negative number is simply subtraction.

10-4=6

Answer:

179, 180, 181

Step-by-step explanation:

a +a +1 +a +2 =540

3a +3 =540

3a =540 - 3

3a=537

a=537 :3

a=179 (the first number

b=179 +1 =180 (the second number

c=179 +2 =181 (the third number

Answer:

C. Favorite baby name is a qualitative variable. Its values are not numerical.

Color of car is a qualitative variable. Its values are not numerical.

Storage space on a computer drive is a quantitative variable. Its values are numerical.

Electrical current is a quantitative variable. Its values are numerical.

Step-by-step explanation:

A qualitative variable is a variable that is categorical and isn't numerical.

For example, your favourite baby names and colours are categorical, they cannot be measured on a numerical scale

Quantitative Variable are  variables that can be measured on a numeric scale.  Ordinal, interval and ratio scales are quantitative scales.

Storage space can be measured on a numeric scale e.g. the storage space has 400 GB

Electric current can be measured on a numeric scale e.g. eclectic current is 50 volts

Answer:

Non-colinear means that three given points do not have a single line connecting all 3 of the points.

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is C

Step-by-step explanation:

Generally

       [tex]MS_B[/tex] stand for Mean Square Between which the mean calculated based on the difference between the sample means

While

 [tex]MS_W[/tex] stands for Mean Square Within which the mean calculated based on the difference between the elements within the set(group)

   Thus  

The [tex]MS_B[/tex]  measures the differences related to the treatment given to each sample. The [tex]MS_W[/tex]  measures the differences related to entries within the same sample.

Answer:

Step-by-step explanation:

Distance Formula in Pic

You just plug in the numbers for x1,y1 and x2,y2

A is your x1 and y1

B is your x2 and y2

after plugging it you do PEMDAS and solve it

Answer:

18 tiles

Step-by-step explanation:

If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:

90 has the prime factors 2x3x3x5

72 has the prime factors 2x2x2x3x3

The prime factors that are common to both are 2, 3 and 3 which multiply together to get:

2x3x3 = 18

The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.

Hope this helped!

Answer:

X=-4, Y=22, idk about the CBD

Step-by-step explanation:

4y+2=90 degrees

subtract 2 on both sides you would get

4y=88 divide 4 with 88 and get 22

solve both X's so 5x+6=3x-2

i would subtract 3x first so i can get

2x+6=-2

then subtract 6 on both sides so you would have

2x=-8 divide -8 with 2 and get -4  

Answer:

120

Step-by-step explanation:

120 * 1.15 = 138

Answer:

120

Step-by-step explanation:

115% of the number 120 is 138

Answer:

-9 feet

Step-by-step explanation:

The turtle was already at -2 feet below sea level, then the turtle went 7 more feet down. Which means that -2 +7 = -9

Answer:

(1) 5x+14

(2)5x+15

(3) x^2 + 7x

(4) 4x+13

(5) x^2 +5x

(6) 6x+16

(7)x^2+4x

Answer:

8 hours

Step-by-step explanation:

after 8 hours chance will have traveled 100 miles and malik will have traveled 102 miles.