Ask question

Ask question

All categories

3 years ago

7

Michael has two more apples than Ann does. Together, Michael and Ann have no more than 9 apples. If Ann has at least one apple,

how many apples, A, could Ann have?

1 answer:

fiasKO [112]3 years ago

6 0

Answer:

ann has 1 apple and Michael has 8 apples

You might be interested in

The seasonal output of a new experimental strain of pepper plants was carefully weighed. The mean weight per plant is 15.0 pound

DanielleElmas [232]

Answer:

There are 118 plants that weight between 13 and 16 pounds

Step-by-step explanation:

For any normal random variable X with mean μ and standard deviation σ : X ~ Normal(μ, σ)

This can be translated into standard normal units by :

$Z = \frac{(X - \mu)}{\sigma}$

Let X be the weight of the plant

X ~ Normal( 15 , 1.75 )

To find : P( 13 < X < 16 )

$= P(\frac{( 13 - 15 )}{1.75} < Z < \frac{( 16 - 15 )}{1.75})$

= P( -1.142857 < Z < 0.5714286 )

= P( Z < 0.5714286 ) - P( Z < -1.142857 )

= 0.7161454 - 0.1265490

= 0.5895965

So, the probability that any one of the plants weights between 13 and 16 pounds is 0.5895965

Hence, The expected number of plants out of 200 that will weight between 13 and 16 = 0.5895965 × 200

= 117.9193

Therefore, There are 118 plants that weight between 13 and 16 pounds.

4 0

3 years ago

A ball is drawn at random from a box containing 12 red,18

Lubov Fominskaja [6]

<u>Answer:</u>

<u>For a:</u> The probability of getting a red or blue ball is 0.48

<u>For b:</u> The probability of getting a white, blue or orange ball is 0.81

<u>For c:</u> The probability of getting neither white or orange ball is 0.48

<u>Step-by-step explanation:</u>

Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}$ .......(1)

We are given:

Number of red balls in a box = 12

Number of white balls in a box = 18

Number of blue balls in a box = 19

Number of orange balls in a box = 15

Total balls in a box = [12 + 18 + 19 + 15] = 64

<u>For a:</u>

Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a red or blue ball}=\frac{31}{64}=0.48$

<u>For b:</u>

Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or blue or orange ball}=\frac{52}{64}=0.81$

<u>For c:</u>

Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or orange ball}=\frac{33}{64}=0.52$

Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48

7 0

3 years ago

The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation si

Helga [31]

The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.

<h3>What is a normal distribution?</h3>

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.

Then the percentage of the snakes is longer than 16.6 in. will be

$z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2$

Then we have

$\rm P(x > 16.6) = P(z > 2) = 0.02275 \ or \ 2.275 \%$

More about the normal distribution link is given below.

brainly.com/question/12421652

6 0

2 years ago

1.5 3.9 6.3 8.7 what is the sequence term

Korolek [52]

Answer: 1.9

Step-by-step explanation:

because you keep adding 1.9 to get your result

7 0

3 years ago

Read 2 more answers

A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?

Tpy6a [65]

Answer:

<h2>a = - 4.8</h2>

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

$a \: \: \alpha \: \: \frac{k}{b}$

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

$7.2= \frac{k}{ - 4}$

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

$a = - \frac{28.8}{b}$

When

b = 6

That's

$a = - \frac{28.8}{6}$

We have the final answer as

<h3>a = - 4.8</h3>

Hope this helps you

7 0

4 years ago