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3 years ago

8.3 is equal to how many hundredths and tenths

Mathematics

1 answer:

goblinko [34]3 years ago

8 0

Answer:

3 tenths and 0 hundreths

Step-by-step explanation:

3 is in the tenths place.

So 3 tenths.

There is no value in the hundreths place

So 0 hundreths

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Use technology or a z-score table to answer the question.

Alik [6]

Answer:

The second choice: Approximately $65.2\%$ of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each $z$ entry has two decimal places.

Let $\mu$ represent the mean of a normal distribution of variable $X$ . Let $\sigma$ be the standard deviation of the distribution. The z-score for the observation $x$ would be:

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question,

$\mu = 240$ .
$\sigma = 9.3$ .

Calculate the z-score for $x_1 = 225$ and $x_2 = 245$ . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

$\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}$ .

$\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}$ .

The question is asking for the probability $P(225 \le X \le 245)$ (where $X$ is between two values.) In this case, that's the same as $P(-1.61 \le Z \le 0.54)$ .

Keep in mind that the probabilities on many z-table correspond to probability of $P(Z \le z)$ (where $Z$ is no greater than one value.) Therefore, apply the identity $P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1)$ to rewrite $P(-1.61 \le Z \le 0.54)$ as the difference between two probabilities:

$P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61)$ .

Look up the z-table for $P(Z \le 0.54)$ and $P(Z \le -1.61)$ :

$P(Z \le 0.54)\approx 0.70540$ .
$P(Z \le -1.61) \approx 0.05370$ .

$\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}$ .

3 0

4 years ago

50.For the direct variation such that when y = 2 then x = 3, find the constant of variation ( k ) and then find the value of y w

tamaranim1 [39]

Step-by-step explanation:

Since it's a direct variation

y = kx

where k is the constant of proportionality

To find the value of y when x = –0.5 we must first find the relationship between the variables

When

x = 3

y = 2

2 = 3k

Divide both sides by 3

$k = \frac{3}{2}$

So the formula for the variation is

When x = - 0.5 or - 1/2

$y = \frac{3}{2} ( - \frac{1}{2} )$

We have the final answer as

Hope this helps you

3 0

3 years ago

How to find the slope of a parabola at a given point?

lara [203]

1. Find the equation.
2. Get two points.
3. Take the derivative of the parabola.
4. Use slope formula and set the slope of each tangent line to the point.
5.Equal the slope to (x,x^2)
6. Solve for x
8.Take the x-coordinates of tangency and plug each of the coordinates into y=x^2
9. Find the y-coordinates.

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3 years ago

How do you do Mixed Numbers On Number Lines?

svlad2 [7]

Write the fraction and add the whole numbers

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3 years ago

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Repeated-measures and matched-subjects experiments

taurus [48]

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3 years ago