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4 years ago

Round 8.889 to the nearest hundreth

2 answers:

8 0

Since we want to round the hundredth, we must look at the thousandth place. The thousandth place is 9 so we round up. The rounded number is 8.89. Hope this helps!

AysviL [449]4 years ago

7 0

8.89
brainliest?
the nearest hundredth is 2 decimals

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A computer retail store has 1414 personal computers in stock. A buyer wants to purchase 33 of them. Unknown to either the retail

Lorico [155]

Answer:

a) 364 ways

b) 45.33% probability that exactly one of the computers will be defective.

c) 54.67% probability that at least one of the computers selected is defective.

Step-by-step explanation:

The computers are chosen without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

14 computers, so N = 14.

3 defective, so k = 3.

3 will be purchesed, so n = 3.

A) In how many different ways can the 3 computers be chosen?

3 from a set of 14. So

$C_{14,3} = \frac{14!}{3!(14-3)!} = 364$

364 ways

B) What is the probability that exactly one of thecomputers will be defective?

This is P(X = 1).

$P(X = 1) = h(1,14,3,3) = \frac{C_{3,1}*C_{11,2}}{C_{14,3}} = 0.4533$

45.33% probability that exactly one of the computers will be defective.

C) What is the probability that at least one of the computers selected is defective?

Either none is, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = h(0,14,3,3) = \frac{C_{3,0}*C_{11,3}}{C_{14,3}} = 0.4533$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.4533 = 0.5467$

54.67% probability that at least one of the computers selected is defective.

5 0

3 years ago

Need help with this math question!

In-s [12.5K]

Answer:

Step-by-step explanation:

$\dfrac{y}{32}=\dfrac{16}{10}\qquad\text{cross multiply}\\\\10y=(32)(16)\\\\10y=512\qquad\text{divide both sides by 10}\\\\\dfrac{10y}{10}=\dfrac{512}{10}\\\\y=51.2$

5 0

3 years ago

What is the equation of the quadratic graph with a focus of (3, −1) and a directrix of y = 1?

Tomtit [17]

Use our brains and what we know
f(x)=a(x-h)²+k
vetex is (h,k)
and a is te leading coefient

if directix is below the focus, then it opens up and a is positive
if directix is above focus, then it opens down and a is negaitve

vertex is in between directix and focus

so
(3,-1) and y=1
-1<1
so directix is above
a is negative

directly in between
distance from -1 to 1 is 2
2/2=1

1 above (3,-1) is (3,0)
vertex is (3,0)

y=a(x-3)²+0
y=a(x-3)²

the only option with a negative 'a' value is B

answer is B

5 0

3 years ago

Read 2 more answers

How can you express 1/100 as a decimal

MAVERICK [17]

Answer:

0.01

Step-by-step explanation:

1/100=0.01

7 0

3 years ago

Read 2 more answers

Factor completely and then place the factors in the proper location on the grid.<br> x2 + 13x + 36

Alexxandr [17]

1. x^2 + 13x + 36 = 0

using powerful & time-sparing quadratic formula :

delta = 13^2 - 4*1*36 = 25 = 5^2

x1 and x2 = (-13 -/+ 5)/2 = -9 and -4

x^2 + 13x + 36 = (x+9)(x+4)

2. other way : complete the square

b^2 + 12b + 32 = b^2 + 2*6b + 6^2 - 6^2 + 32

b^2 + 12b + 32 = (b+6)^2 - 4

b^2 + 12b + 32 = (b+6-2)(b+6+2) = (b+4)(b+8)

3. other way : -4 "ovious" solution : (-4)^2 - (-4) -20 = 0

so the other is : -4 . a2 = -20/1 ---> a2 = 5

a^2 - a - 20 = (a-5)(a+4)

4 0

3 years ago

Read 2 more answers