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3 years ago

PLEASE HELP!!!!! I really need help with this.

Mathematics

2 answers:

____ [38]3 years ago

8 0

Answer:

w = 4.66

Step-by-step explanation:

A . 4 = 18 - 3w

Transpose to find w

3w = 18 -4

3w = 14

w = 14 / 3

w = 4.66

stiks02 [169]3 years ago

4 0

Answer:

Exact form:

w= 14/3

Decimal Form:

w= 4.6

Mixed Number Form:

w= 4 2/3

Step-by-step explanation:

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According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month. Assume

Ira Lisetskai [31]

Answer:

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month.

This means that $\mu = 22$

Standard deviation is 4:

This means that $\sigma = 4$

Sample of 36:

This means that $n = 36, s = \frac{4}{sqrt{36}}$

What is the probability that the sample mean is between 21 and 22?

This is the p-value of Z when X = 22 subtracted by the p-value of Z when X = 21.

X = 22

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{22 - 22}{\frac{4}{sqrt{36}}}$

$Z = 0$

$Z = 0$ has a p-value of 0.5.

X = 21

$Z = \frac{X - \mu}{s}$

$Z = \frac{21 - 22}{\frac{4}{sqrt{36}}}$

$Z = -1.5$

$Z = -1.5$ has a p-value of 0.0668.

0.5 - 0.0668 = 0.4332

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

4 0

3 years ago

Quadrilateral qrst is a square what is pst

hodyreva [135]

if QRST is indeed a quadrilateral, then, Check the picture below.

3 0

3 years ago

What is the initial value of 10 in this equation?

Airida [17]

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

The initial value is the y-intercept, or it's like the starting point.

If the equation has an initial value of 10, b = 10

Your answer is the 2nd option because the y-intercept is 10

4 0

3 years ago

identify the vertex of the graph tell whether minimum or is it maximum. y equals -1 and xbox equals -4

Kobotan [32]

Answer:

it minimum

Step-by-step explanation:

you didn't really give an equation

3 0

3 years ago

PLEASE HELPP also sorry the photo is sideways

dybincka [34]

<h2>a) Select all that apply</h2>

$\overline{LL'}, \ \overline{MM'} \ and \ \overline{NN'}$ <em> are each perpendicular to the line of reflection</em>

This option is the only one that is correct. The line of reflection is $y=-1$ . When we talk about reflection, we are talking about reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. So in this case, this mirror is the line of reflection. As you can see, these three segments $\overline{LL'}, \ \overline{MM'} \ and \ \overline{NN'}$ <em> </em>form a right angle at the point each segment intersects the line $y=-1$ .

<h2>b) Find each length</h2>

Since the line $y=-1$ is an axis that allows to get a mirror image, therefore it is true that:

$\overline{LS}=\overline{L'S} \\ \\ \overline{MT}=\overline{M'T} \\ \\ \overline{NU}=\overline{N'U}$

To find those values $\overline{LS}$ , count the number of units you get from the point S to L, which is 3 units. Do the same to find $\overline{MT}$ but from the point T to M, which is 6 units and finally, for $\overline{NU}$ but from the point U to N, which is 4 units. Therefore:

$\overline{LS}=\overline{L'S}=3 \ units \\ \\ \overline{MT}=\overline{M'T}=6 \ units \\ \\ \overline{NU}=\overline{N'U}=4 \ units$

<h2>c) Correct Statement</h2>

<em>The line of reflection is the perpendicular bisector of each segment joining a point and its image. </em>

<em />

A bisector is the line dividing something into two equal parts. In this case, the line of reflection divides each segment into two equal parts and is perpendicular because this line form a right angle with each segment. As we demonstrated in a) each segment is perpendicular to the line of reflection, so the first statement is false. On the other hand, each side of the original triangle is not perpendicular to its image and this is obvious when taking a look at the figure. Finally, as we said the line of reflection is perpendicular to each of the mentioned segments, so they can't be parallel as established in the last statement.

5 0

3 years ago