In a scientific study there are 7 guinea pigs, 4 of which are pregnant. If 3 are selected at random without replacement, find the probability that all are pregnant. Enter your answer as a fraction or a decimal rounded to 3 decimal places.

The value of the expressions (3.683 × 10⁴) and (7.51 × 10¹²) in scientific notation is 4.9041 × 10⁻⁹. Then the correct option is B.

The division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are (3.683 × 10⁴) and (7.51 × 10¹²).

We have to divide (3.683 × 10⁴) from (7.51 × 10¹²).

[tex]\dfrac{3.683 * 10^4}{7.51*10^{12}}\\\\0.4904*10^{-8}\\\\4.9041*10^{-9}[/tex]

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Answer:

67x+23=344

collecting like terms

67x=344-23

67x=321

making x the subject of the formula

x=321/67

x=4.79

approximately

x=5

Make me the brainliest

Answer:

  [tex]\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}[/tex]

Step-by-step explanation:

The first term is 5 and the common ratio is -2. The general term for n starting at 1 can be written as ...

  an = a1·r^(n-1)

If we start n at 0, then we can eliminate the -1 from the exponent:

  [tex]\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}[/tex]

Answer:

26.5ft

Step-by-step explanation:

Consider:

AB=25 ft

BC =9 ft

AC=?ft

[tex](AB)^2 + (BC)^2 = (AC)^2\\25^2+ 9^2=(AC)^2\\(AC)^2= 625+81\\[/tex]

AC=√706

AC=26.5 ft

Hope this helps! :)

Answer:

y = -2

Step-by-step explanation:

Step 1: Combine like terms.

Step 2: Divide both sides by 9.

Step 3: Check if solution is correct.

Therefore, y = -2.

Answer:

2 1 8 0 3

Step-by-step explanation:

the devidation is a

this comment doesn't exist

answer: 55

Step-by-step explanation:

angle apg is eqal to angle pgr (being alternate angles)

x + pgr is equal to 120 (exterior angle of a triangle is equal to opposite interior angle)

Solution:

Let "E" denote the top right angle. (Refer to image). Then ∠E and ∠R are a linear pair.

⇒ ∠E + ∠R = 180

⇒ ∠E + 120 = 180

⇒ ∠E = 180 - 120

⇒ ∠E = 60°

Line AB forms a straight line which is a measure of 180°.

⇒ 65 + ∠E + x = 180

⇒ 65 + 60 + x = 180

⇒ 125 + x = 180

⇒ 125 - 125 + x = 180 - 125

⇒ ∠x = 55°

The number of bottles requires to pour the water into is gotten by dividing the total capacity of water by the capacity of the bottle

Answer = 10 bottles

Given Data

Let us find the number of bottle required

No of bottles = Total Capacity of the two bottle/Capacity of the small bottles

No of bottles =  51/5

No of bottles =10.2

10 approx.

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Answer:

what gas station I presume is the answer

Answer:

Step-by-step explanation:

12x - 3 = 105 (parallel to each other)

12x = 105 + 3

12x = 107

12x/12 = 107/12

x = 8.9

x = 9

Answer:

See attached image

Step-by-step explanation:

Answer:

28-14[tex]\sqrt{3}[/tex]

Step-by-step explanation: Step 1[tex]\frac{14(2-\sqrt{3}) }{(2+\sqrt{3})(2-\sqrt{3}) }[/tex] Step 2 [tex]\frac{14(2-\sqrt{3}) }{1}[/tex] ANSWER = 28-14[tex]\sqrt{3}[/tex]

The equation of second graph is  [tex]d = 2.5 t + 1[/tex]

We have given the linear equation is

[tex]d = 2.5 t +2.2,[/tex]

If the graph of the position of the second object is parallel to

[tex]d = 2.5 t +2.2,[/tex]

The equation of slope intercept form is

[tex]d=mt+b[/tex]

compare the given equation with the slope intercept form

we get  m = 2.5

t = 0, d = 1

1 = 2.5 · 0 + b

b = 1

Therefore,the equation of second graph is  [tex]d = 2.5 t + 1[/tex]

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Answer:

the answer if Friday

Step-by-step explanation:

If, according to the problem, it was Tuesday three days ago, then today must be Friday. The days of the week repeat in sets of 7. If today is Friday, then 91 days from now will be Friday as well, since 91 is a multiple of 7. Thus, 90 days from now will be the day before Friday, or Thursday.

Answer:

90 days from now will be the day before Friday, or Thursday.

Step-by-step explanation:

The days of the week repeat in sets of 7. If today is Friday, then 91 days from now will be Friday as well, since 91 is a multiple of 7.

Answer:

B, E, F

Step-by-step explanation:

If the system has infinite solutions, then the 2 equations will be identical.

So we are looking for an equation, which, when simplified or rearranged or multiplied by a constant, will be the same as the given equation [tex]4x-6y=12[/tex]

If we multiply equation A by 2 we get: 4x + 6y = 12

This is not the same as the original equation since the operation sign is addition rather than subtraction.

If we divide equation B by 5 we get:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Equation C: y = (2/3)x + 12

Multiply by 3:  3y = 2x + 36

Multiply by 2:  6y = 4x + 72

Rearrange:  4x - 6y = -72

If we divide equation D by 1.5 we get: 4x - (8/3)y = 8

Equation E:  y = (2/3)x - 2

Multiply by 3:  3y = 2x - 6

Multiply by 2:  6y = 4x - 12

Rearrange:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Equation F:  3y = 2x - 6

Multiply by 2:  6y = 4x - 12

Rearrange:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Answer:

$8

Step-by-step explanation:

Let x represent the amount of money he has to save each week.

We can use this to set up an equation:

[tex]7x=56[/tex]

Now, we have to "isolate the variable". This means we must have a resulting equation of [tex]x=\text{something}[/tex].

In this case, we can use the Division Property of Equality to divide both sides by 7:

[tex]\frac{7x}{7}=\frac{56}{7}\\x=8[/tex]

Therefore he must say $8 each week for 7 weeks so that he can buy the guitar.

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

What is relation between metre and kilometre?

Relation between  metre and kilometre is that 1 kilometre =1000 metre

we know that kilometre and metre are two units of distance and we can convert data from one to another using their relation

Now here given distance is in kilometre

and distance is67 kilometre

We can convert 67 kilometre  in metre as

67 kilometre = 67 [tex]\times[/tex]1000metre

67 kilometre = 67000 metre =67000 m

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

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Answer:  ( B ) (6,700)

Step-by-step explanation:

i checked the question on my quick check

Answer:

Three Methods: substitution, elimination, and graphing.

Step-by-step explanation:

Graphing: To find the solution of a system of equations on a graph, you find the point of intersection of the two lines.

Elimination:

Substitution:

Using proportions, it is found that the biologist should be expected to find 6 hairless chimpanzees in the troop.

A proportion is a fraction of a total amount.

In this problem, the mean of each sample is as follows: 3%, 5% and 4%.

Hence, from all samples, the mean should be expected to be of:

(3% + 5% + 4%)/3 = 4%.

Out of 150 chimpanzees:

0.04 x 150 = 6.

The biologist should be expected to find 6 hairless chimpanzees in the troop.

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Using it's concept, it is found that of the students who like the vegetables on their pizza, the percentage that do not like meat is of 76.19%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, we have that:

Thus, the percentage is given by:

[tex]P = \frac{80}{105} \times 100\% = 76.19\%[/tex]

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Answer:76.19%

Step-by-step explanation:

Answer:

See the first 3 problems solved below.

I added the next 3 problems.

Step-by-step explanation:

1.

2x + 4x = 180

6x = 180

x = 30

2x = 2(30) = 60

4x = 4(30) = 120

2.

3x + 6x = 180

9x = 180

x = 20

3x = 3(20) = 60

6x = 6(20) = 120

3.

8x + 10x = 180

18x = 180

x = 10

8x = 8(10) = 80

10x = 10(10) = 100

4.

7x + 8x = 180

15x = 180

x = 12

7x = 7(12) = 84

8x = 8(12) = 96

5.

2x + x = 180

3x = 180

x = 60

2x = 120

6.

2x + 2x = 180

4x = 180

x = 45

2x = 2(45) = 90

The value of the variable x will be 60°. Then the measure of the angles ∠GFH and ∠CBD will be 60° and 120°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The angles ∠GFH = x and ∠CBD = 2x.

From the figure, the angles ∠GFH and ∠CBD are supplementary angles.

∠GFH + ∠CBD = 180°

x + 2x = 180°

3x = 180°

x = 60°

Then the measure of the angles ∠GFH and ∠CBD will be

∠GFH = 60°

∠CBD = 2 × 60°

∠CBD = 120°

The value of the variable x will be 60°. Then the measure of the angles ∠GFH and ∠CBD will be 60° and 120°.

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#SPJ2

Answer:

150 pallats

Step-by-step explanation:

The possible range for x, in the terms, of BC is BC < x< 3BC.

In mathematic, there is a rule for triangle side lengths. This rule says that the sum of the lengths of any two sides of a triangle is greater than the length of the one side (third side).  Therefore,

                                           [tex]L1+L2 > L3\; (1)\\ \\ L1+L3 > L2\; (2)\\ \\ L2+L3 > L1\; (3)[/tex]      

The question gives three sides: AB (L1), BC (L2) and x (L3). Also, you know that AB=2 BC.

Applying the equation (1) of rule for triangle side lengths, you have:

L1+L2> L3

AB+BC > x

2BC+BC > x

3BC > x

x< 3BC

Applying the equation (2) of rule for triangle side lengths, you have:

L1+L3 > L2

AB+x >BC

2BC+x > BC

x > -BC

Applying the equation (3) of rule for triangle side lengths, you have:

L2+L3 > L1

BC + x > AB

BC + x > 2BC

x > BC

The intersection of the inequalities results is the solution of this problem.  Then, the possible range for x, in the terms, of BC is BC < x< 3BC. See the attached image.

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Answer:

B

Step-by-step explanation:

0.06 is the same as 6 divided by 100. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{100}[/tex]. 0.154 is the same as 154 divided by 1000. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{1000}[/tex].

So, (0.06) * (0.154) is the same as [tex]\frac{6}{100}[/tex] * [tex]\frac{154}{1000}[/tex] or 6 * [tex]\frac{1}{100}[/tex] * 154 * [tex]\frac{1}{1000}[/tex]

Answer: B, C, D, and E.

Step-by-step explanation: When you solve the expression, you get the value 0.00924. So far, E is one of the correct answers, because it is exactly the same as the value of (0.06) x (0.154). When you solve answer A, you get 0.924, so that isn't one of the answers. When you solve answer B, you get 0.00924. When you solve answer C, you get 0.00924, which is another possible answer. When you solve answer D, you get 0.00924. So you pretty much select every answer but A.

Hope this helps! :)

Answer:

Step-by-step explanation:

The mean of the dataset is:

Increased mean is:

The sum of the numbers in the larger data set is:

The difference of sums is:

We need a combination of 3 different numbers with the sum of 54.

One option would be:

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}*2[/tex] = [tex]\frac{6}{8}[/tex]

6/8 = 3/4

#1

[tex]\\ \tt\Rrightarrow -1/4(-8x+12y)[/tex]

[tex]\\ \tt\Rrightarrow 2x-3y[/tex]

#2

[tex]\\ \tt\Rrightarrow 36a-16[/tex]

[tex]\\ \tt\Rrightarrow 4(9a-4)[/tex]

Answer:

30 degrees

Step-by-step explanation:

We know that 2x + 50 and 5x - 80 both add up to 180 degrees because they are co-interior. so, lets simplify it:

2x + 50 + 5x - 80

= 7x - 30

7x - 30 = 180

7x = 210

x = 30 degrees

Answer:

x = y - 6

Step-by-step explanation:

Use PEMDAS to move x to the other side.

y=x+6

Subtract 6 from both sides to get rid of 6 on one side to make x the subject.

y-6=x

[tex]\mathbb{FINAL\;ANSWER:}[/tex]

[tex]\huge\boxed{\sf{x=y-6}}[/tex]

[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]

Hi! Hope you are having a nice day!

In order to make x the subject, we need to solve for x.

It's easy, right?

We have

y=x+6

Move x to the left. Be sure to use the opposite operation.

y-x=6

Now, move y to the right:

-x=6-y

x=-6+y

or

x=y-6

There's an easier way:

y=x+6

y-6=x

x=y-6 (See? We ended up with the same answer :) )

Hope you could understand everything.

#CarryOnLearning

Answer:

Less

Step-by-step explanation:

Working with the information provided, we are to determine whether Cameron obtained via exchange more or less on his second trip to Canada. While the time frame for this would help, it's likely that it isn't offered to you, so I'm going to try and simplify.

He would receive less, as the inflation rate in America is higher than in Canada, meaning U.S dollars depreciate in value faster.

Answer:

(x, y ) → (x - 4, y - 3 )

Step-by-step explanation:

consider the coordinates of A and A'

A (0, 4 ) , A' (- 4, 1 )

0 to - 4 in the x- direction means subtracting 4

4 to 1 in the y- direction means subtracting 3

then translation rule is

(x, y ) → (x - 4, y - 3 )