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3 years ago

If a 10-pound sack of potatoes costs $6.55, how much would 1 pound cost? Round your answer to the nearest cent.

1 answer:

3 0

$\begin{array}{ccc}10\ lb&-&\$6.55\\\\1\ lb&-&\$ x\end{array}\ \ \ |cross\ multiply\\\\\\\\10\cdot x=1\cdot6.55\\\\10x=6.55\ \ \ \ |divide\ both\ sides\ by\ 10\\\\x=\frac{6.55}{10}\\\\x=0.65\underline{5}\approx\boxed{\$0.66}\\$

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).

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These are 3 questions btw so i need 3 answers!

monitta

Answer:

y = - $\frac{7}{2}$ cos ( $\frac{1}{2}$ x ) , y = cos ( 3x ) + 2

Step-by-step explanation:

Image 1.

The graph is reflection of cosine over x-axis and max is 3.5 ⇒ A = - $\frac{7}{2}$

Period is ( 4 π ) ⇒ B = $\frac{1}{2}$

There are no horizontal and vertical shifts ⇒ C = D = 0

y = -  $\frac{7}{2}$  cos (  $\frac{1}{2}$  x )

Image 3.

The graph of cosine shifted 2 units up only ⇒ D = 2 , C = 0

Period of the given function is $\frac{2\pi }{3}$ ⇒ B = 3

y = cos ( 3x ) + 2

6 0

3 years ago

In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre

Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that $p = 0.09$

41 people arrested for DUI in Illinois are selected at random.

This means that $n = 41$

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158$

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes 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

$P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791$

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

$E(X) = np = 41*0.09 = 3.69$

d. What is the standard deviation of the number of repeat offenders?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83$

4 0

3 years ago

What is the reciprocal of 6/7

Mars2501 [29]

The reciprocal of 6/7 is 7/6

8 0

3 years ago

Read 2 more answers

Find the measure of angle b

blondinia [14]

Answer:

130°

Step-by-step explanation:

a straight line is 180°

so you have

180°-50°= 130°

6 0

3 years ago

Read 2 more answers

Sue wants to increase 160 by 4%

malfutka [58]

Answer:

.04

Step-by-step explanation:

She should have multiplied 160 by .04 and add what the product is to the original number (160*.04 = 6.4 ; 160 + 6.4 = 166.4)

7 0

4 years ago