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polet [3.4K]
4 years ago
11

With a rate of change = 0.10 & an initial value = 10, how would you represent this as a linear equation?

Mathematics
2 answers:
kicyunya [14]4 years ago
5 0

Answer:

y = .10x +10

Step-by-step explanation:

If the equation is linear, we can write it in the form y=mx+b where m is the slope and b is the y intercept

The y intercept is where we start, or the initial value

The slope is also call the rate of change

y = .10x +10

andrew11 [14]4 years ago
4 0

Answer:

First one

Step-by-step explanation:

rate of change = 0.10

Means

The slope = 0.10

m = 0.10

An initial value = 10

Means

y-intercept = 10

b = 10

y = mx + b

y = 0.10x + 10

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A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When
Tanya [424]

Answer:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

\hat p = \frac{24}{250}= 0.096

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The confidence interval for a proportion is given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 98% confidence interval the value of \alpha=1-0.98=0.02 and \alpha/2=0.01, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.33  

And the margin of error would be:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

4 0
4 years ago
From an 8 foot board, a carpenter sawed off one piece that was 2 3/4 feet long and another piece that was 3 1/2 feet long . How
Butoxors [25]
<span>After the two cuts, 1 3/4 ft of the board is left.</span><span> </span>
7 0
3 years ago
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Matthew was modeling an activity to the class. In a brown paper bag, he had 3 red marbles, 2 blue, and 5 green marbles. What is
luda_lava [24]
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multiply the two fractions together:
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4 0
3 years ago
A dilation with a scale factor of 2 is applied to
liubo4ka [24]

The lengths of the three line segments after dilation is P'Q' = 4 \ cm, A'B'=3 \ cm and M'N'=6 \ cm

Explanation:

Given that the length of three line segments are PQ = 2 cm, AB = 1.5 cm and MN = 3 cm

Also, given that the dilation with a scale factor of 2 is applied to the three line segments.

We need to determine the length of line segments P'Q', A'B' and M'N'

Dilation means the transformation of the same shape with different size.

Since, it is given that the dilation with a scale factor of 2, we shall multiply each of the line segments with 2.

Thus, we have,

P'Q' = 2 \times 2 = 4 \ cm

A'B'=1.5 \times 2 = 3 \ cm

M'N'=3 \times 2= 6 \ cm

Thus, the lengths of the three line segments after dilation is P'Q' = 4 \ cm, A'B'=3 \ cm and M'N'=6 \ cm

5 0
3 years ago
What is the factored form of the expression?<br><br> 16b^2 – 81
solong [7]

Answer:

(4b-9) (4b+9)

Step-by-step explanation:

16b^2 – 81

This is the difference of squares

(a^2 -c^2) = (a-c) (a+c)

a^2 = 16b^2   so a= 4b

c^2 = 81   so c = 9

(16b^2 – 81) = (4b-9) (4b+9)

6 0
4 years ago
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