Write an inequality that models the solution for 4(x + 2) > 8x – 3.

EXPLAIN ​

Step-by-step explanation:

When they ask what the prob that at most 3/4 people asked have a pet, they are asking what is the prob that 0, 1, 2, or 3 people answer yes. So you could calculate all 4 of those and then add them together.

However, in this case, since there's only 1 other possible outcome (all 4 have a pet), we could just calculate the prob of that and subtract it from 1 to get the prob of everything else happening.

We'll use the binomial distribution formula where n=4, k=4, and P=.6.

nCk * P^n * (1-P)^(n-k)4C4 * (.6)^4 * (.4)^0.1296

So the prob of at least 3 having pets = 1 - P(all 4 have pets) which is 1-.1296 = .8704.  You could double check this by calculating the prob of the other 4 outcomes and then adding them together.

The probability that at least 2 people have a cat is 0.522 or 52.2%.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

This is a problem that can be solved using the binomial probability formula, which gives the probability of getting exactly k successes (in this case, people with cats) out of n trials (in this case, people you ask) with a probability of success (in this case, having a cat) of p.

The formula is:

P(k) = (n choose k) × [tex]p^k \times (1-p)^{(n-k)}[/tex]

where (n choose k) is the binomial coefficient, which is equal to n! / (k! × (n-k)!).

For this problem, n = 5 (the number of people you ask), k = 2 (the number of people who have cats), and p = 0.3 (the probability of a person having a cat, according to the survey).

P(2) = (5 choose 2) × 0.3² × 0.7³

P(2) = 0.252

To find the probability of at least 2 people having a cat, we have to add up the probability of getting exactly 2, 3, 4, and 5 people having cats.

P(≥2) = P(2) + P(3) + P(4) + P(5)

Substituting the values we get:

P(≥2) = 0.252 + 0.189 + 0.072 + 0.009 = 0.522

So, the probability that at least 2 people have a cat is 0.522 or 52.2%.

Learn more about probability here:

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Answer:

the area of the circle is the number of boxes in the box minus no .of boxes in circle....

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Answer:

x=7

Step-by-step explanation:

Since this is an isosceles triangle the two angles are equal.

3x+6 = 5x-8

Subtract 3x from each side

3x+6-3x = 5x-8-3x

6 = 2x-8

Add 8 to each side

6+8 = 2x-8+8

14 = 2x

Divide each side by 2

14/2 = 2x/2

7 = x

Answer:

x = 7

Step-by-step explanation:

Its two angle is equal so, it is isosceles triangle.

3 x + 6 = 5 x - 8 .. ( in isosceles triangle two side are equal).

3 x + 6 = 5 x - 8

Subtract 3 x from both side

3 x - 3 x + 6 = 5 x - 3 x - 8

6 = 2 x - 8

add 8 to each side

6 + 8 = 2 x - 8 + 8

14 = 2 x

Divide each side by 2

14 / 2 = 2 x / 2

7 = x

Answer:

12(6^2-6x3)= 216

3^2 = 9

Step-by-step explanation:

216/9 = 24

Answer:

2x²√13

Step-by-step explanation:

√52x⁴ = √4×13×x⁴ = 2x²√13

Answer:

190 feet below sea level

Step-by-step explanation:

d = -310 + 15m

d = -310 + 15(8)

d = -310 + 120

d = -190

In a straight line, like the one presented before you, there is 180 degrees. So that means 115 degrees + x is gonna equal 180.

So that means, x is gonna be 180 - 115. So x is 65 degrees

Answer:

[tex] - 22 {z}^{8} [/tex]

Answer:

A

Step-by-step explanation:

The length of CD represents the distance between the points C and D. Counting the points between them, if we start from point D, we need to get through points 1, 2, and 3 to get to C. That is 3 units, or A

Answer:

-2/5

Step-by-step explanation:

Given the expression

-4/5 ÷ 2

= -4/5 * 1/2

= (-4*1)/(5*2)

= -4/10

= -2/2 * 2/5

-2/5

Hence the required values is -2/5

Answer:

Step-by-step explanation:

5). Triangle DEF is an equilateral triangle.

Therefore, measure of all sides and the angles of the triangle will be equal.

DE = EF = DF = 5.2 ft

3y + 1 = 5.2

3y = 5.2 - 1

3y = 4.2

y = 1.4

Similarly, m∠D = 60° [Measure of all angles of an isosceles triangle = 60°]

(5x)° = 60°

x = [tex]\frac{60}{5}[/tex]

x = 12

6). Property to be used in ΔFGH,

"Two sides of an isosceles triangle are equal in measure and opposite angles of the equal sides of the triangle are equal"

FG = GH

3y = 12.9

y = 4.3

m∠F = m∠H

4x = 44

x = 11

Given:

Lines DE and AB intersect at point C.

[tex]m\angle ACE=(2x+2)^\circ[/tex]

[tex]m\angle ECB=(5x+3)^\circ[/tex]

To find:

The value of x.

Solution:

In the given figure it is clear that the angles [tex]\angle ACE[/tex] and [tex]\angle ECB[/tex] are lie on a straight line AB.

[tex]m\angle ACE+m\angle ECB=[/tex]               [Linear pair]

[tex](2x+2)^\circ+(5x+3)^\circ=180^\circ[/tex]

[tex](7x+5)^\circ=180^\circ[/tex]

[tex]7x+5=180[/tex]

Subtract 5 from both sides.

[tex]7x=180-5[/tex]

[tex]7x=175[/tex]

Divide both sides by 7.

[tex]x=\dfrac{175}{7}[/tex]

[tex]x=25[/tex]

Therefore, the correct option is B.

Answer:

x = 25

I did the same quiz and got it right thanks to the person on top that explained it really well..thank you

These 3 combinations are possible

Answer:

A.  7n+6

B Three times the quantity of a number plus eight

Step-by-step explanation:

A   more than means it comes after

7 times a number

7n

6 more than

7n+6

B 3( n+8)

Three times the quantity of a number plus eight

Answer:

The mean gives Turner’s game average.

Step-by-step explanation:

The median describes the number in the middle from lowest to greatest. The mode describes the number that appears the most. The mean describes the average of the data set.

Answer:

Step-by-step explanation:

pythagors theorem

a^2+b^2=c^2

15^2+x^2=21^2

225+x^2=441

x^2=441-225

x=[tex]\sqrt{216[/tex]

x=6[tex]\sqrt{6[/tex]

=14.69

x=14.7 km

Answer:

A)

Step-by-step explanation:

0 - 17i

Given expression;

i⁸⁰ + i³⁸ - i17

To express the expression in the form a+bi;

i. Rewrite the expression such that it contains terms in i²

(i²)⁴⁰ + (i²)¹⁹ - i17

ii. Solve the result from (i) above using the identity i² = -1

We know that the square root of -1 is i. i.e

[tex]\sqrt{-1} = i[/tex]

Squaring both sides gives

=> [tex](\sqrt{-1} )^{2} = i^{2}[/tex]

=> -1 = i²

Therefore,

i² = -1

Substitute i² = -1 in step (i) above

(-1)⁴⁰ + (-1)¹⁹ - i17

(iii) Solve the result in (ii)

We know that the when a negative number is raised to the power of an even number, the result is a positive number. If it is raised to the power of an odd number, the result is a negative number. Therefore,

(-1)⁴⁰ + (-1)¹⁹ - i17 becomes

1 + (-1) - i17

0 - i17

(iv) Write the result from (iii) in the form a+bi

0 - 17i

Answer:

b

Step-by-step explanation:

a line segment is a line that has a endpoint on both sides

Answer:

Step-by-step explanation:

y = f(x + 2) +1

Answer:

3

Step-by-step explanation:

here is explain.

2*3+3 = 9

number 3 from the replacement set makes the equation

Answer:

Step-by-step explanation:

18/6=51/p

do cross multiplication

6*51=p*18

306/18=p

17=p

therefore perimeter is 17 cm

Answer:

x = 2.5

Step-by-step explanation:

3.25x = 8.125

Divide each side by 3.25

3.25x/3.25 = 8.125/3.25

x =2.5

Answer:

x = 2.5

Step-by-step explanation:

3.25x = 8.125

then divide both sides by 3.25 to get x on its own

x = 2.5

Answer:

32

Step-by-step explanation:

25% of 32 is 8. 100% of 32 is 32, therefore 25 percent of 32 equals 8.