Write two ways to group and add 2+3+4

ikadub [295]

For this case we have the following equation:
s = root (S.A / 6)
Substituting values we have:
For S.A = 180:
s = root (180/6)
s = root (30)
For S.A = 120:
s = root (120/6)
s = root (20)
s = root (4 * 5)
s = 2 * root (5)
Subtracting both values we have:
root (30) - 2 * root (5)
Answer:
root (30) - 2 * root (5)
option 2

3 0

3 years ago

Suppose you are conducting a survey about the amount grocery store baggers are tipped for helping customers to their cars .for a

ELEN [110]

Using the Empirical Rule and the Central Limit Theorem, we have that:

About 68% of the sample mean fall with in the intervals $1.64 and $1.82.

About 99.7% of the sample mean fall with in the intervals $1.46 and $2.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

<h3>What does the Central Limit Theorem state?</h3>

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem, the standard deviation of the distribution of sample means is:

$s = \frac{0.657}{\sqrt{50}} = 0.09$

68% of the means are within 1 standard deviation of the mean, hence the bounds are:

1.73 - 0.09 = $1.64.

1.73 + 0.09 = $1.82.

99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:

1.73 - 3 x 0.09 = $1.46.

1.73 + 3 x 0.09 = $2.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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5 0

2 years ago

There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records,

guajiro [1.7K]

Answer:

There are <u>72 inches</u> in 6 feet.

Step-by-step explanation:

Given:

There are 12 inches in 1 foot.

Jada is working on improving her vertical jump.

Currently, her standing reach is 6 feet from the ground.

Now, to find the inches in 6 feet.

Let the inches in 6 feet be $x.$

As given:

In 1 foot there are 12 inches.

<em>So, 1 foot is equivalent to 12 inches.</em>

<em>Thus, 6 feet is equivalent to </em> $x$ <em />

Now, to find using cross multiplication method:

$\frac{1}{12} =\frac{6}{x}$

<em>By cross multiplying we get:</em>

$x=72$

So, the inches in 6 feet = 72.

Therefore, there are 72 inches in 6 feet.

3 0

3 years ago

Suppose the test scores of students in a class are normally distributed with a mean of 86 and a standard deviation of 4. What is

WARRIOR [948]

Answer:

-2.5

Step-by-step explanation:

Here in this question, we are interested in calculating the z-score for a student that had a particular mark at the test

To calculate the z-score, we need to use a mathematical formula

Mathematically;

z-score = (x - mean)/SD

From the question;

x = 76

mean = 86

standard deviation SD = 4

Plugging these values in the equation, we have;

z-score = (76-86)/4 = -10/4 = -2.5

4 0

3 years ago

Vugar has a maximum of 30 batteries for toys. Each toy helicopter uses the same number of batteries, and each toy car uses the s

Leno4ka [110]

Answer: 3H+4C<_ 30

The coefficients of the variables H and C represent the number of batteries each toy helicopter and each toy car uses.

Step-by-step explanation:

Each toy helicopter uses 3 batteries, and each toy car uses 4 batteries.

Now let's check whether Vugar has enough batteries for 5 toy helicopters and 4 toy cars. To do this, we substitute H=5 and C= 4 in the given inequality:

Does Vugar have enough batteries to play with 5 toy helicopters and 4 toy cars?

No, because if you plug in the value for H and C:

3H + 4C<_ 30

3(5) + 4(4) <_30

15 + 16 <_ 30

31 <_ 30; false

Since the inequality is false, Vugar does not have enough batteries to play with 555 toy helicopters and 444 toy cars.

Each toy helicopter uses 333 batteries, and each toy car uses 444 batteries.

No, Vugar does not have enough batteries to play with 555 toy helicopters and 444 toy cars.

6 0

3 years ago

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