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astra-53 [7]
3 years ago
14

Y= -4x+9; (-5, ), (2, ), (4, )

Mathematics
1 answer:
Zolol [24]3 years ago
4 0

Answer:

(-5,29)

(2,1)

(4,-7)

Step-by-step explanation:

y = -4x + 9

When x is -5;

y = -4(-5) + 9 = 29

When x is 2;

y = -4(2) + 9 = 1

When x is 4;

y = -4(4) + 9 = -7

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At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor has a mean value of 950 kPa with a
prisoha [69]

Answer:

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

Step-by-step explanation:

Problems of normally distributed samples are 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}

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 950, \sigma = 30

What is the probability that the line pressure will exceed 1000 kPa during any measurement

This is 1 subtracted by the pvalue of Z when X = 1000. So

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

Z = \frac{1000 - 950}{30}

Z = 1.67

Z = 1.67 has a pvalue of 0.9525

1 - 0.9525 = 0.0475

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

7 0
3 years ago
NO LINKS/ NO ASSESSMENTS!!!<br><br>Part 1: Write a rule to describe each transformation​
Travka [436]

Answer:

  • (x, y) → (-x, y)

Step-by-step explanation:

We can observe the figures are mirrored over y- axis.

<u>This is a reflection and the rule is:</u>

  • (x, y) → (-x, y)
4 0
2 years ago
Michelle can fold 4 baskets of clothes in 54 minutes, while Ruby can fold 4 baskets of clothes in 108 minutes. How long will it
padilas [110]
Michelle can fold 4/54 baskets per minute = 8/108 baskets per minute.
Ruby can fold 4/108 baskets per minute.

Each minute Michelle and Ruby work together, they can fold
   8/108 +4/108 = 12/108 = 1/9
of a basket of clothes. For 8 baskets of clothes, it will take them
   (8 baskets)/(1/9 baskets/minute) = 72 minutes
3 0
3 years ago
45 POINTS PLEASE HELP!
andrew-mc [135]

Hello,

Question:

Jack popped some popcorn, but 3 of the 150 kernels did not pop.

Determine which popcorn snacks below has the same ratio of unpopped to total kernels as Jack's popcorn.

We Know:

3 out of 150 did not pop

Solution:

3/150 = 3 to 150

Find ratios similar to this one,

4/200

2/100

1/50

So now we know for every kernel that dosent pop there are 50 that did.

Answers:

4 unpopped out of 200 kernels

1 unpopped out of 50 kernels

8 0
3 years ago
Read 2 more answers
I need help please please I appreciate it! ):
telo118 [61]

Answer:

!. Scale factor = 5

2. Scale factor = \frac{1}{5}

Step-by-step explanation:

scale = \frac{length in drawing}{actual length}

1. To increase the numbers, let the scale factor be \frac{5}{1} = 5. So that;

0.05 x 5 = 0.25

\frac{1}{2} x 5 = 0.5 x 5 = 2.50

7 x 5 = 35.00

13 x 5 = 65.00

25 x 5 = 125.00

102 x 5 = 510.00

2. To decrease the numbers, let the scale factor be \frac{1}{5}. So that;

0.05 x \frac{1}{5} = 0.01

\frac{1}{2} x \frac{1}{5} = 0.5 x \frac{1}{5} = 0.10

7 x \frac{1}{5} = 1.40

13 x \frac{1}{5} = 2.60

25 x \frac{1}{5} = 5.00

102 x \frac{1}{5} = 20.40

6 0
3 years ago
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