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3 years ago

Select the correct answer.

Mathematics

1 answer:

crimeas [40]3 years ago

8 0

Answer:

Step-by-step explanation:

The absolute value function always returns a positive value, that is

| - a | = | a | = a

Given

8 - | 2g - 5 | ← substitute g = - 3.5 into the expression

= 8 - | - 7 - 5 |

= 8 - | - 12 |

= 8 - 12

= - 4 → D

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Passes through (6 1) and is perpendicular to the line 3x-4y=2 standard form

Snowcat [4.5K]

Answer:

1⅓x + y = 9

Step-by-step explanation:

Convert the Standard Form of the given line to Slope-Intercept Form:

-4y = -3x + 2 [Move -3x to the right side of the equivalence symbol]
y = ¾x - ½ [Divide everything by -4]

Then, after getting your equation, take the OPPOSITE MULTIPLICATIVE INVERSE of ¾ [perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE Rate of Changes (SLOPES)], which is -1⅓ [or -4⁄3]. After getting your slope, you can perform the action with your given ordered pair to find your y-intercept:

1 = -1⅓[6] + b

-8

9 = b

Now that you have your y-intercept, this is your new equation in Slope-Intercept Form:

y = -1⅓x + 9

We are not done just yet. The final step is to convert the Slope-Intercept Form of the line to Standard Form, and here is how it is done:

y = -1⅓x + 9

+1⅓x +1⅓x

--------------

1⅓x + y = 9 → Final equation

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**On my channel, I have a video that pretty much explains how to something like this. It is the longest video on there. You should be capable of finding it in a jip!

5 0

3 years ago

M5_A3. The expected project completion time for the construction of a pressure vessel is 18 monthsand the project variance is 7.

snow_tiger [21]

Answer:

a) 0.3520

b) 0.9884

c) 0.1292

d) 0.1292

e) 0.7648

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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

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

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.

In this problem, we have that:

The expected project completion time for the construction of a pressure vessel is 18 months. So $\mu = 18$ .

And the project variance is 7. The standard deviation is the square root of the variance, so $\sigma = \sqrt{7}$ .

a) What is the probability that the project will require at least 19 months?

The pvalue of the zscore of $X = 19$ is the probability that the project will require less than 19 months. So the probability that the project will require at least 19 months is the subtraction of 1 by this pvalue.

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

$Z = \frac{19 - 18}{\sqrt{7}}$

$Z = 0.38$

The pvalue of Z = 0.38 is 0.6480.

So the probability that the project will require at least 19 months is 1 - 0.6480 = 0.3520.

b) What is the probability that the project will be completed within 24 months?

This is the pvalue of the zscore of X = 24.

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

$Z = \frac{24 - 18}{\sqrt{7}}$

$Z = 2.27$

The pvalue of Z = 2.27 is .9884. This means that the probability that the project will be completed within 24 months is .9884.

c) What is the probability that the project will require at least 21 months?

Same logic as a). We find the pvalue of the zscore of X = 21, then we subtract 1 by this value.

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

$Z = \frac{21 - 18}{\sqrt{7}}$

$Z = 1.13$

The pvalue of Z = 1.13 is 0.8708.

So the probability that the project will require at least 21 months is 1 - 0.8708 = 0.1292.

d) What is the probability that the project will be completed within 15 months?

Same logic as b). This is the pvalue of the zscore of X = 15.

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

$Z = \frac{15 - 18}{\sqrt{7}}$

$Z = -1.13$

The pvalue of Z = -1.13 is .1292. This means that the probability that the project will be completed within 15 months is .1292.

e) What is the probability that the project will take between 16 and 24 months to complete?

This is the pvalue of Z = 24 subtract by the pvalue of Z = 16.

In b), we found that the pvalue of Z = 24 is .9884

Now we find the pvalue of Z = 16

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

$Z = \frac{16 - 18}{\sqrt{7}}$

$Z = -0.76$

The pvalue of Z = -0.76 is 0.2236

So the probability that the project will take between 16 and 24 months to complete is 0.9884 - 0.2236 = 0.7648

8 0

4 years ago

Explain what it means when an angle has radian measure 1

xenn [34]

Answer:

1 radian has degree measure (180/)°. Likewise, and angle of size 1° has radian measure /180. We can now easily obtain a formula to convert from degrees to radians and vice-versa.

6 0

3 years ago

Question below. Please answer it, its math.

AleksAgata [21]

Answer:

- 0.8

Step-by-step explanation:

The first thing we want to do here is simplify the expression -

$\frac{3}{5}$ ( 2x + 5 ) - 2x, Distribute the " $\frac{3}{5}$ " to elements within the parenthesis

= $\frac{3}{5}$ $*$ 2x + $\frac{3}{5}$ $*$ 5 - 2x, Focus on simplifying the expression " $\frac{3}{5}$ $*$ 2x + $\frac{3}{5}$ $*$ 5 "

= $2\cdot \frac{3}{5}x+5\cdot \frac{3}{5}$ - 2x

= $\frac{6x}{5}+3$ - 2x, Combine fractions

= $-\frac{4x}{5}$ + 3

= $-\frac{4}{5}$ x + 3

So we have our simplified expression " $-\frac{4}{5}$ x + 3, " with $-\frac{4}{5}$ being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,

- 4 / 5 = - 0.8,

Solution = - 0.8

4 0

4 years ago

Identify the correct point on the number line for each fraction. (5 and 6)

Inessa [10]

There are 10 marks between 7 and 8, therefore each mark is equivalent to 0.1

For 8.3, count 3 marks after 8:
$8.3 \longrightarrow B$

First convert the fraction into decimal. Then count 6 marks from 7:
$7\dfrac{3}{5} = 7.6 \longrightarrow C$

8 0

4 years ago

Read 2 more answers