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3 years ago

Factor 3x^2 + 13x + 4? Explain the steps! ^ = to the power of

1 answer:

8 0

Since coefficient of x^2 is prime and both second and third term are positive, it must be in form (3x+_)(x+_).

There is three possibles for these blank spaces;
1,4
2,2
4,1

Because coefficient of second term is 13 = 1+12 = 1+3*4, these blank space should be 1,4

So your answer is (3x+1)(x+4)

Hope this makes sense.

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) One year, professional sports players salaries averaged $1.5 million with a standard deviation of $0.9 million. Suppose a samp

Nutka1998 [239]

Answer:

Probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.

Step-by-step explanation:

We are given that one year, professional sports players salaries averaged $1.5 million with a standard deviation of $0.9 million.

Suppose a sample of 400 major league players was taken.

Let $\bar X$ = sample average salary

The z-score probability distribution for sample mean is given by;

Z = $\frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = mean salary = $1.5 million

$\sigma$ = standard deviation = $0.9 million

n = sample of players = 400

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the average salary of the 400 players exceeded $1.1 million is given by = P( $\bar X$ > $1.1 million)

P( $\bar X$ > $1.1 million) = P( $\frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} }$ > $\frac{ 1.1-1.5}{{\frac{0.9}{\sqrt{400} } }} }$ ) = P(Z > -8.89) = P(Z < 8.89)

Now, in the z table the maximum value of which probability area is given is for critical value of x = 4.40 as 0.99999. So, we can assume that the above probability also has an area of 0.99999 or nearly close to 1.

Therefore, probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.

4 0

2 years ago

In a triangle, one of the angle measures 70°

Tanya [424]

Answer:

the two angles are 55° each

Step-by-step explanation:

Let the two equal angles be y each

Therefore,

70° + y + y = 180°

Collect like terms

2y = 180 — 70

2y = 110

Divide both side by the coefficient of y i.e 2

y = 110/2

y = 55°

Therefore, the two angles are 55° each

4 0

3 years ago

70 POINTS HELP ME URGENT SHOW YOUR WORK

Feliz [49]

Answer:

x= the number of ride tickets

y= the total cost of admission plus how many ride tickets a person purchases

y= 1.25x + 9.5

It is a$1.25 per ticket for the rides at the fair, so it would be 1.25 multiplied by the amount of tickets that are purchased (x). Spencer bought 17 tickets, so 17x1.25= 21.25 and it says that he spent a total of $30.75 at the fair, so 30.75-21.25=9.5, so that means the cost of admission is $9.50.

Step-by-step explanation:

I hope this helps!

7 0

2 years ago

Helpppp meeee fassttt pleaseeee

Yuki888 [10]

Answer:

y = -1/3x + 3 2/3

Step-by-step explanation:

step 1. find the slope of the given line

y2-y1/x2-x1 2 - 4/ 3 + 3 = - 1 / 3

take the opposite of that and there is your slope

step 2. plug in the values to the following equation using the given point:

y - y1 = m ( x - x1 ) y - 4 = - 1/3 ( x + 1 )

step 3. solve for y

y-4 = -1/3(x+1)

-1/3(x) and -1/3(1) ----> y-4 = -1/3x-1/3

y-4+4 = -1/3x-1/3+4 ----> y = -1/3x + 3 2/3

hope this helps. if you need more help lmk in the comments. i am in algebra two so you can trust me. Happy holidays

3 0

2 years ago

PLEASSSEEE HELLPPP

Sidana [21]

Answer:

D: 14q + 21√qr

Step-by-step explanation:

We want to find the product of;

(2√q + 3√r) and 7√q.

Where p and q are integers.

Using distributive property, we have;

(2√q × 7√q) + (3√r × 7√q)

>> 14q + 21√qr

Correct option is D

3 0

2 years ago