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The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

= Probability of 2 + Probability of 3 + Probability of 4

= 0.20 + 0.35 + 0.28

= 0.83

Hence, The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

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The probability that a cat will have at most 4 kittens is 0.83

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the number of kittens in the litter be = A

Now , when A = 2

The probability distribution is = 0.20

Now , when A = 3

The probability distribution is = 0.35

Now , when A = 4

The probability distribution is = 0.28

Now , when A = 5

The probability distribution is = 0.15

And , the probability that a cat will have at most 4 kittens is calculated by

P ( x ≤ 4 ) = P ( 2 ) + P ( 3 ) + P ( 4 )

               = 0.20 + 0.35 + 0.28

               = 0.83

Therefore , the probability that a cat will have at most 4 kittens is 0.83

Hence , The probability that a cat will have at most 4 kittens is 0.83

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Answer:

VP = 21

ZP = 7

Step-by-step explanation:

Given:

VZ = 14

Required:

VP and ZP

Solution:

Since Z is the centroid, therefore:

⅔ of VP = VZ (centroid theorem)

Thus,

⅔(VP) = 14 (substitution)

Multiply both sides by 3

2(VP) = 14*3

2(VP) = 42

Divide both sides by 2

VP = 42/2

VP = 21

✅VZ + ZP = VP

14 + ZP = 21

ZP = 21 - 14 (subtraction property of equality)

ZP = 7

Answer: v = B/y -1

B = yv + y = (v + 1)y

=> B/y = v + 1

⇔ [tex]v=\frac{B}{y}-1[/tex]

Step-by-step explanation:

Answer:

C-7.4

Step-by-step explanation:

just took the test EDG2020

The nth term of an arithmetic sequence is a +(n-1)d. The missing term of the arithmetic sequence is 7.4

The nth term of an arithmetic sequence is expressed according to the formula as shown:

Tn = a + (n -1)d

where:

a is the first term = 2

d is the common difference = 3.8 -2 = 1.8

Required

Fourth term (n = 4)

Substitute

T4 = 2 + (4 -1)(1.8)
T4 = 2+3(1.8)
T4 = 7.4

Hence the missing term of the arithmetic sequence is 7.4

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Answer:the slope is 3

Source: trust me bro

Answer:

423,437,744

Step-by-step explanation:

Given that :

Projected population in 2020 = 334.4 million

Estimated growth rate (r) = 0.79%

Projected population in 2050 ;

Using the exponential growth function :

Estimated value = initial value(1 + growth rate)^time

Initial value = i

Time = 2020 - 2014 = 6 years

334.4 = i(1 + 0.0079)^6

334.4 = i(1.0079)^6

334.4 = i2.43087455521E−13

i = 3.189786E8

Initial population = 318. 978 million

Estimated Population in 2050:

2050 - 2014 = 36

Projected population = 3.189786E8(1.0079)^36

Projected population = 3.189786E8*1.3274801

= 423437743.82586

= 423437744 million

Answer:

x = 9.6

Step-by-step explanation:

Answer:

The Slope in 7,2

Step-by-step explanation:

Answer:

The answer to this question is C. 40.274.

Answer:

5

Step-by-step explanation:

x = 2 >>> (Multiply by 10) >>> y = 20

x = ? >>> (Multiply by 10) >>> y = 50

50 ÷ 10 = 5

x = 5 when y is 50

Answer: y + 5 = -3(x-3)

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

When we divide a number with a fraction, we change the sign into a multiplication sign, and we do the reciprocal.  Then we multiply across.

Answer:

Mean is 8 MAD is 4.29

Step-by-step explanation:

Answer:

A prime number is a number that can only be divided by 1 and itself.

Answer: x =5

Step-by-step explanation:

[tex]x + 3 + 3(x + 2) = - 24[/tex]

[tex]x + 3 + 3x + 6 = - 24[/tex]

[tex]4x + 9 = - 24[/tex]

[tex]4x = - 24 - 9[/tex]

[tex]4x = - 33[/tex]

[tex]x = \frac{ - 33}{4} [/tex]

See attachment for math work and set up. Use the substitution method to find x.

Answer:

-42 degrees

Step-by-step explanation:

-40-82=-42

Answer:

g= (9,8)  f= (-5,1)

Step-by-step explanation:

you're welcome =)

Answer: a/c = 1

a/b = 1/2 => a = 1/2 .b

b/c = 2 => c = 1/2 .b

=> a/c = (1/2.b)/(1/2.b) = 1

Step-by-step explanation:

If a is half b, and b is twice c, then the fraction a:c will be 1.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

a is half b ⇒ a = b/2

b is twice c ⇒ b = 2c

By substitution,

a = (2c)/2

a = c

a:c = 1:1 = 1

Hence "If a is half b, and b is twice c, then the fraction a:c will be 1".

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=======================================================

Explanation:

The term "disjoint" is another way of saying "mutually exclusive". If two sets are disjoint, then they have nothing in common. Put another way, if two sets are disjoint, then it's not possible to be part of both sets at the same time.

In this case, it is not possible to be both an aunt and an uncle simultaneously for any one person. So this is why choice B is the answer.

Answer:

Step-by-step explanation:

The equation is y = Mx + b

so the slope is -1/4 and the y intercept is (0,9)

Answer:

107º

Step-by-step explanation:

Okay, if 135 is adjacent to an ungiven side, then to find that, you subtract 135 from 180.

180 - 135 = 45

So the other side is 45. Now we find the last unknown given side, and since we know 180 degrees is the sum of the degrees in a triangle, we do:

28 + 45 + x = 180

73 + x = 180

Subtract 73 on both sides you get,

x = 107.

Measure DEF is 107.

Answer:a

Step-by-step explanation:

The solution is, O A. Are paid to the government, the phrase best completes the list. Types of Expenses.

Here, we have,

Explanation:

Utilities are expenses on essential and vital services common to households and businesses. They include water and sewage bills, electricity bills, and garbage disposal expenses. A firm offering such services generate utility bills. The cost covers a regular period, say mostly monthly.

Heating and internet or data costs are also being considered as utility expenses. They are common and essential for domestic and business use.

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Answer:

He is 53 inches in height

Step-by-step explanation:

4 × 12 inches = 48 + 5 = 53

Answer:

12:10 or 6:5

Step-by-step explanation:

If 2 more girls join, the ratio will be 12:10 or 6:5.

Answer:

Y = 130

X = 20

Z = 110

Answer:

y= 130 degrees  x= 20 degrees  z= 110 degrees

Step-by-step explanation:

I solved top left triangle first. So, we know all triangles add up to 180 degrees and we have two on the angles so 85 + 45 = 130 then 180 - 130 = 50 so the missing angle near y is 50. Now to figure out Y then you just subract your answer (50)  from 180 which you get 130. So y is 130 degrees. Then to figure out X, you just do 180 - 130 = 50, 50 - 30 = 20, so x is equal to 20 degrees. Then lastly to figure out z we know that the missing angle is 50 because its vertical to the other 50 degree so now you do 180 - 20 = 160, 160 - 50 = 110 degrees.

Given:

4/5 of a pie left after their family picnic.

Each slice of pie was 1/15 of the total pie.

To find:

The number of remaining slices of pie.

Solution:

Let x be the number of remaining slices of pie.

Part of total pie in one slice = [tex]\dfrac{1}{15}[/tex]

Remaining part of total pie in x slices = [tex]\dfrac{1}{15}x[/tex]

According to the question, 4/5 of a pie left after their family picnic.

[tex]\dfrac{1}{15}x=\dfrac{4}{5}[/tex]

Using cross multiplication, we get

[tex]5\times x=15\times 4[/tex]

[tex]5x=60[/tex]

Divide both sides by 5.

[tex]x=12[/tex]

Therefore, the remaining number of slices of pie is 12.

Answer:

1.450

Step-by-step explanation:

what grade ar4e you in I'm guessing 4th or 5th

Answer:

200- 25d

Step-by-step explanation:

d equals number of days on the trip