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blsea [12.9K]
3 years ago
7

(I am confused someone please help )

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

2x±44

Step-by-step explanation:

-2[x-7]=-2x±14 because negative ×negative=positive

±5[3x±6]=15x±30

-3[5x±10]=-15x±30

2x±14±15x-15x±30

2x±15x-15x=2x

14±30=44

2x±44=2x±44

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Find the values of x and y given that ABCD is congruent to EFGH.
Kazeer [188]

Answer:

x=7 , y = 8.

Step-by-step explanation:

10x+65 = 135

or, 10x = 70

so, x = 7

Now,

4y-4=28

or, 4y = 32

so, y = 8

7 0
2 years ago
The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. • If t
son4ous [18]

Answer:

If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?

There is a 10.56% probability of failure of the cable.

If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?

There is a 15.87% probability of failure of the cable.

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}

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:

The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. This means that \mu = 75, \sigma = 20.

If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?

This is the pvalue of Z when X = 50.

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

Z = \frac{50 - 75}{20}

Z = -1.25

Z = -1.25 has a pvalue of 0.1056.

There is a 10.56% probability of failure of the cable.

If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?

Now we have that

X = 0.2(30) + 0.35(50) + 0.45(70) = 55

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

Z = \frac{55 - 75}{20}

Z = -1

Z = -1 has a pvalue of 0.1587.

There is a 15.87% probability of failure of the cable.

3 0
3 years ago
Plz help with all 4
fredd [130]
1. 641
2. 65.4
3. 21+7=28 total marbles. The greatest number of groups would be 7, with 1 blue and 3 white.
4. 80% of 685= .80 x 685= 548 students.
5 0
3 years ago
What are the coordinates of D’ when the quadrilateral is reflected across the line y = x?
Butoxors [25]

Answer:

(1, 3)

Step-by-step explanation:

If quadrilateral ABCD is reflected across the line y = x, then the x- and y-coordinates get reversed. Since the coordinates of point D are (3, 1), then the coordinates of point D' are (1, 3).

8 0
2 years ago
Read 2 more answers
I need some help, with my algebra ​
Viktor [21]

Answer:

Hey there!

Perimeter: 24

Area: 24

36+64=x^2

x=10

Perimeter: 10+6+8=24

Area: 1/2bh, 1/2(48)=24

Both the area and perimeter are 24.

Hope this helps :)

5 0
3 years ago
Read 2 more answers
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