What number would complete this pattern 14 5 18 24 15 28 34

Troy’s gross pay is $4,276.88. His deductions total $1,320.69. What percent of his gross pay is take-home pay? A) 30% B) 31% C)

slava [35]

Answer:

A. 30%

Step-by-step explanation:

8 0

3 years ago

If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement (round your answer to the nearest hundredth): f(0) =

skad [1K]

f(x) = 2 x^2 + 5 sqrt(x+2)

f(0)= 2 (0)^2 + 5 sqrt(2)

5* sqrt (0)= <span>7.07

hope that helps</span>

7 0

3 years ago

Read 2 more answers

What are the roots of 3x2 + 10 = 4x?

sveticcg [70]

Answer:

Option C is correct.

roots of the given equation , $x =\frac{2\pm i\sqrt{26}}{3}$

Step-by-step explanation:

Given the equation: $3x^2+10 = 4x$

We can write this equation as:

$3x^2-4x + 10 =0$

A quadratic equation is in the form of $ax^2+bx+c =0$ ......[1] where a,b ,c are the coefficient and x is the variable,

the solution of the equation is given by;

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing given equation with equation [1] we get;

a = 3 , b = -4 and c =10

So, the solution of the given equation is given by;

$x = \frac{-(-4)\pm\sqrt{(-4)^2-4(3)(10)}}{2(3)}$

or

$x = \frac{4\pm\sqrt{(16-120}}{6} = \frac{4\pm\sqrt{(-104)}}{6} = \frac{4\pm\sqrt{(-4 \times 26)}}{6}$

or

$x =\frac{4\pm2 \sqrt{(-26)}}{6} = \frac{4\pm2 i\sqrt{26}}{6}$ [∴ $\sqrt{-1} = i$

Simplify:

$x =\frac{2\pm i\sqrt{26}}{3}$

therefore, the roots of the given equation are; $x =\frac{2\pm i\sqrt{26}}{3}$

5 0

3 years ago

Read 2 more answers

Freemont Run Club surveyed a random sample of

guajiro [1.7K]

Answer:

24 for estimate, the accurate is 25.2

Step-by-step explanation:

surveyed total = 30

9 = run 5> days a week

84 = total members

9/30 = percent of members who run 5> days a week

9/30 => 3/10

percent of members who run 5> days a week * total members = number of members who run 5> days a week

3/10 x 84 = 25.2 members

84 = 80

3/10 x 80 = 24

24, a reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week.

6 0

2 years ago

A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes a) are there in total?

attashe74 [19]

Answer:

There are 256 ways in total.

There are 56 possible outcomes contain exactly three heads.

The possible outcomes contain at least three heads is 219.

The possible outcomes contain the same number of heads and tails are 70.

Step-by-step explanation:

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are:

$2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^8=256$

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination: $\binom{n}{r}=\frac{n!}{r!(n-r)!}$

$\binom{8}{3}=\frac{8!}{3!(5)!}=56$

Hence, there are 56 possible outcomes contain exactly three heads.

Part (c) contain at least three heads?

For 3 heads: $\binom{8}{3}=\frac{8!}{3!(5)!}=56$

For 4 heads: $\binom{8}{4}=\frac{8!}{4!(4)!}=70$

For 5 heads: $\binom{8}{5}=\frac{8!}{5!(3)!}=56$

For 6 heads: $\binom{8}{6}=\frac{8!}{6!(2)!}=28$

For 7 heads: $\binom{8}{7}=\frac{8!}{7!(1)!}=8$

For 8 heads: $\binom{8}{8}=1$

Now add them as shown:

56+70+56+28+8+1=219

Hence, the possible outcomes contain at least three heads is 219.

Part (d) contain the same number of heads and tails?

Same number of heads and tails means that the value of r=4.

Therefore,

$\binom{8}{4}=\frac{8!}{4!(4)!}=70$

Hence, the possible outcomes contain the same number of heads and tails are 70.

6 0

3 years ago