sam can fill 7 glasses with soda every 29.1 seconds. How long would it take Sam to fill 14 glasses and 21 glasses with soda

What temperature is 15 degrees lower than 7 degrees celsius

VikaD [51]

7-15= -8
so -8 degrees celsius

8 0

2 years ago

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of

jarptica [38.1K]

Answer:

The "probability that a given score is less than negative 0.84" is $\\ P(z$ .

Step-by-step explanation:

From the question, we have:

The random variable is normally distributed according to a standard normal distribution, that is, a normal distribution with $\\ \mu = 0$ and $\\ \sigma = 1$ .
We are provided with a z-score of -0.84 or $\\ z = -0.84$ .

Preliminaries

A z-score is a standardized value, i.e., one that we can obtain using the next formula:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

Where

x is the raw value coming from a normal distribution that we want to standardize.
And we already know that $\\ \mu$ and $\\ \sigma$ are the mean and the standard deviation, respectively, of the normal distribution.

A z-score represents the distance from $\\ \mu$ in standard deviations units. When the value for z is negative, it "tells us" that the raw score is below $\\ \mu$ . Conversely, when the z-score is positive, the standardized raw score, x, is above the mean, $\\ \mu$ .

Solving the question

We already know that $\\ z = -0.84$ or that the standardized value for a raw score, x, is below $\\ \mu$ in 0.84 standard deviations.

The values for probabilities of the standard normal distribution are tabulated in the standard normal table, which is available in Statistics books or on the Internet and is generally in cumulative probabilities from negative infinity, - $\\ \infty$ , to the z-score of interest.

Well, to solve the question, we need to consult the standard normal table for $\\ z = -0.84$ . For this:

Find the cumulative standard normal table.
In the first column of the table, use -0.8 as an entry.
Then, using the first row of the table, find -0.04 (which determines the second decimal place for the z-score.)
The intersection of these two numbers "gives us" the cumulative probability for z or $\\ P(z$ .

Therefore, we obtain $\\ P(z$ for this z-score, or a slightly more than 20% (20.045%) for the "probability that a given score is less than negative 0.84".

This represent the area under the standard normal distribution, $\\ N(0,1)$ , at the left of z = -0.84.

To "draw a sketch of the region", we need to draw a normal distribution (symmetrical bell-shaped distribution), with mean that equals 0 at the middle of the distribution, $\\ \mu = 0$ , and a standard deviation that equals 1, $\\ \sigma = 1$ .

Then, divide the abscissas axis (horizontal axis) into equal parts of one standard deviation from the mean to the left (negative z-scores), and from the mean to the right (positive z-scores).

Find the place where z = -0.84 (i.e, below the mean and near to negative one standard deviation, $\\ -\sigma$ , from it). All the area to the left of this value must be shaded because it represents $\\ P(z$ and that is it.

The below graph shows the shaded area (in blue) for $\\ P(z$ for $\\ N(0,1)$ .

7 0

2 years ago

6. a- 45/8= 2 6/7.. what does a =

frozen [14]

Answer:

-2.76785714286

Step-by-step explanation:

I think that a equals to -2.7678571428

Anyways heyy!!!:)

8 0

3 years ago

Answer Please???? Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cake

Natali [406]

Answer:

Hello there!

The answer to your question is :

C: Finn needs 6 cups of sugar for 4 cakes.

D: Finn needs 1 1/2 cups of sugar for 1 cake.

Step-by-step explanation:

The graph clearly shows ( sides cups of sugar) (bottom number of cakes)

For sugar you need 6 cups to make 4 cakes

For sugar on the second question you need 1 1/2 cups of sugar to make 1 cake

Multiply 1 1/2 times 6 then divide and your answer is 4. That's 4 cakes out of 6 cups of sugar out of the original cups of sugar ( 1 1/2)

This is the confirmed answer I took the quiz and got 100%

Hopes this helps you!

~Darlington

5 0

3 years ago

Please help and thank you

zubka84 [21]

Answer:

B

Step-by-step explanation:

The graph of x² is known as the parent function. From it, all quadratics can be transformed to make their graphs. It can undergo a series of transformations like translations up/down/left/right or stretch and compression vertically and horizontally. Usually the equation can tell you you what transformations it undergoes. Since g(x) is the same equation as x² except for 4/5 this is a vertical compression. Since it is the leading coefficient under multiplication and 4/5 < 1, this is a compression vertically. Answer B is correct.

8 0

2 years ago