Ask question

Ask question

All categories

3 years ago

7

A big snowstorm just hit the Lehigh Valley. Mrs. Gentile needs to shovel her driveway. She shovels ⅓ of her driveway in 30 minut

es. At this rate, how many minutes will it take her to shovel her entire driveway?

1 answer:

Vesna [10]3 years ago

8 0

Answer:

90 minutes or 1 hour and 3 minutes

Step-by-step explanation:

because for each 1/3 is 30 minutes

You might be interested in

Determine the following:

dolphi86 [110]

Answer:

a) P(X = 0) = 0.5997

b) P(X = 9) = 0.0016

c) P(X = 8) = 0.0047

d) P(X = 5) = 0.4018

Step-by-step explanation:

These following problem are examples of the binomial probability distribution.

Binomial probability

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

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

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

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

And $\pi$ is the probability of X happening.

(a) for n = 4 and π = 0.12, what is P(X = 0)?

$P(X = 0) = C_{4,0}.(0.12)^{0}.(0.88)^{4} = 0.5997$

(b) for n = 10 and π = 0.40, what is P(X = 9)?

$P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016$

(c) for n = 10 and π = 0.50, what is P(X = 8)?

$P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0047$

(d) for n = 6 and π = 0.83, what is P(X = 5)?

$P(X = 5) = C_{6,5}.(0.83)^{5}.(0.17)^{1} = 0.4018$

3 0

2 years ago

How does a number line show that 0 is its own opposite

Leya [2.2K]

Answer:

Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0. The number 0 is the only number that is its own opposite.

Step-by-step explanation:

8 0

3 years ago

What is the percent of change if the price changes from $150 to $100? Round to the nearest whole percent if necessary.

lisabon 2012 [21]

Answer:

Percentual change= 33.33% decrease

Step-by-step explanation:

Giving the following information:

Present value (PV)= $150

Future value (FV)= $100

<u>To calculate the percentual change, we need to use the following formula:</u>

Percentual change= [(PV - FV) / PV]*100

Percentual change= [(150 - 100) / 150]*1''

Percentual change= 0.3333*100

Percentual change= 33.33% decrease

4 0

3 years ago

Decimal equivalent to. 78/11

Ganezh [65]

Just divide 78 with 11, 7.090909090909091.

3 0

3 years ago

For each part of this problem, show all your work and write a probability statement.

AlladinOne [14]

Answer:

Follows are the answer to the given point.

Step-by-step explanation:

In point 1:

$\to P( \text{number of response}) = \frac{192}{338} \\$

$= \frac{96}{169}\\\\= 0.56$

In point 2:

$\to P| \text{(Zoloft and fill response)}| = \frac{27}{338}$

$= 0.079$

In point 3:

$\to P(\frac{\text{ full or partial}}{\text{St. John's Wort}}) = \frac{\frac{43}{338}}{\frac{113}{338}}$

$= \frac{43}{338} \times \frac{338} {113}\\\\= \frac{43}{113}\\\\= 0.38$

In point 4:

$\to P(\frac{\text{Placebo}}{\text{full or response}}) = P(\frac{(\text{Placebo} \cap \text{full or response})} {\text{p(full response)}})$

$= \frac{\frac{79}{338}}{ 1- \frac{91}{338}} \\\\ = \frac{\frac{79}{338}}{ \frac{338-91}{338}} \\\\ = \frac{\frac{79}{338}}{\frac{247}{338}} \\\\ = \frac{79}{338} \times \frac {338}{247} \\\\= \frac{79}{274} \\\\ = 0.28$

4 0

3 years ago