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Liula [17]
3 years ago
10

A car travels at an average speed of 48 miles per hour. how long does it take to travel 204 miles?

Mathematics
1 answer:
Strike441 [17]3 years ago
7 0
A car travels at an average speed of 48 miles per hour. how long does it take to travel 204 miles?It takes it 4.25 hours

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Find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2
Wittaler [7]

Answer:

c = 8

Step-by-step explanation:

Use synthetic division here; it's the fastest approach.

Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:

-2     4         c                1           2

                  -8    (-2c+ 16)      (4c-34)

       ---------------------------------------------

         4    (c - 8)   (-2c + 17)     4c - 32

The remainder, 4c - 32, must equal zero if (x + 2) is a factor.

Then 4c - 32 = 0, and c = 8

6 0
3 years ago
How much interest is earned on a principal of 646 invested at an interest rate of 5 for two years
IceJOKER [234]

Answer:

Step-by-step explanation:

P=646

R=5%

T=2yrs

I=?

I=PRT/100

I= 646*5*2/100

I= 64.6

5 0
2 years ago
His triangle has a perimeter of 48 feet. The second side is 5 feet longer than the first side. The third side is 3 feet longer t
kotegsom [21]

Answer:

The length of the second side is 22.5 feet.

Step-by-step explanation:

7 0
2 years ago
Solve similar triangles advanced part 1​
balu736 [363]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Corresponding segments of similar triangles are proportional. Here, the similar triangles are ...

  ΔABC ~ ΔADE

so the relationship between the sides is ...

  BC/BA = DE/DA . . . . . . we put the unknown value in the numerator

  x/4 = 12/(4+8)

  x = 4(1) = 4

The length of side x is 4.

4 0
3 years ago
The CEO of a clothing company estimates that 52% of customers will make a purchase. Part A: How many customers should a salesper
4vir4ik [10]

Answer:

(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

Step-by-step explanation:

Let<em> </em>the random variable <em>X</em> be defined as the number of customers the salesperson assists before a customer makes a purchase.

The probability that a customer makes a purchase is, <em>p</em> = 0.52.

The random variable <em>X</em> follows a Geometric distribution since it describes the distribution of the number of trials before the first success.

The probability mass function of <em>X</em> is:

P(X=x)=(1-p)^{x}p

The expected value of a Geometric distribution is:

E(X)=\frac{1-p}{p}

(a)

Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:

E(X)=\frac{1-p}{p}

         =\frac{1-0.52}{0.52}\\=0.9231

This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b)

Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:

P(X=3)=(1-0.52)^{3}\times0.52\\=0.110592\times 0.52\\=0.05750784\\\approx 0.058

Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

8 0
3 years ago
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