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3 years ago

Please help I need to finish his before school.

Mathematics

1 answer:

shepuryov [24]3 years ago

3 0

Answer: m = 1
b = 0
y = 1x + 0

Explanation:

The formula is

Y = mx + b

Where m is the slope and b is the y intercept.

So don’t the y intercept witch is 0 and the slope which is 1

Hope this helps

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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

faust18 [17]

Answer:

The probability is $P(X \le 70) = 0.9685$

Step-by-step explanation:

From the question we are told that

The mean values is $M_1 = 15 \ minutes , \ M_2 = 30\ minutes, \ M_3 = 20 \ minutes$

The standard deviation is $\sigma_1 = 1 \ minutes , \ \sigma_2 = 2 \ minutes , \ \sigma = 1.5 \ minutes$

Generally the total mean is mathematically represented as

$\= x = \sum M_i$

=> $\= x = 15 + 30 + 20$

=> $\= x = 65$

Generally the total variance is mathematically represented as

$V(x) = \sum \sigma^2_i$

=> $V(x) = 2^2 + 1^2 + 1.5^2$

=> $V(x) = 7.25$

Generally the total standard deviation is mathematically represented as

$\sigma = \sqrt{V(x)}$

=> $\sigma = \sqrt{7.25 }$

=> $\sigma = 2.69$

Generally the probability that it takes at most 70 min of machining time to produce a randomly selected component is mathematically represented as

$P(X \le 70) = 1 - P( X > 70 )$

Here $P(X > 70) = P(\frac{X - \mu }{\sigma} > \frac{70 - 65}{ 2.69} )$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

$P(X > 70) = P(Z > 1.8587 )$

From the z table

The area under the normal curve to the right corresponding to 1.8587 is

$P(Z > 1.8587 ) = 0.031535$

$P(X \le 70) = 1 - 0.031535$

=> $P(X \le 70) = 0.9685$

7 0

3 years ago

MAVERICK [17]

Answer:

$15\ units$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and the corresponding angles are congruent

In this problem Triangles PQT and RQS are similar by AA Similarity Theorem (The three angles are congruent)

therefore

$\frac{12}{16}=\frac{x}{20}\\ \\x=12*20/16\\ \\x=15\ units$

6 0

4 years ago

Kaitaia has one more than 5 times the number or wristbands that shelly has. Rea has three more than twice the number that shelly

saul85 [17]

Answer: The required expression is 3x+4.

Step-by-step explanation:

Since we have given that

Let the number of wristbands that Shelly has be 'x'

Let the number of wristbands that Kaitaia has be $5x+1$

Let the number of wristbands that Rea has be three more than twice the number that shelly has be

$'2x+3'$

According to question, the expression that shows the number of wristbands more Katia has than Rea is given by

$5x+1-(2x-3)\\\\=5x+1-2x+3\\\\=3x+4$

Hence, the required expression is 3x+4.

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vesna_86 [32]

Answer:

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Step-by-step explanation:

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worty [1.4K]

1A=32, 1B=18, 2A=13, 2B=5, 3A=40, 3B=8

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