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forsale [732]
3 years ago
12

Can someone please help me??

Mathematics
2 answers:
Fantom [35]3 years ago
3 0

Answer:

b=3, y=6

Step-by-step explanation:

Label the 2 equations:

2b +6y= 42 -----(1)

2b +4y= 30 -----(2)

(1) -(2):

(2b +6y) -(2b +4y)= 42 -30

2b +6y -2b -4y= 12

2y= 12

y= 12 ÷2 <em>(</em><em>÷</em><em>2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

y= 6

Susbt. y=6 into (2):

2b +4(6)= 30

2b +24=30

2b= 30 -24 <em>(</em><em>-24</em><em> </em><em>on</em><em> </em><em>b</em><em>o</em><em>t</em><em>h</em><em> </em><em>sides</em><em>)</em>

2b= 6

b= 6 ÷2

b= 3

Alekssandra [29.7K]3 years ago
3 0

Answer:

y = 6, b = 3

Step-by-step explanation:

Since both equations have 2b in them, subtracting them gets you a quick result because the 2b-2b cancels out!

2b + 6y = 42

2b + 4y = 30

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

       2y = 12

         y = 6

Then 2b = 42 - 36 = 6, so b = 6/2 = 3

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.725.72 millimeters and a standard de
suter [353]

Answer:

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

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:

\mu = 5.72, \sigma = 0.07

Top 5%:

X when Z has a pvalue of 0.95. So X when Z = 1.645

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

1.645 = \frac{X - 5.72}{0.07}

X - 5.72 = 1.645*0.07

X = 5.84

Bottom 5%:

X when Z has a pvalue of 0.05. So X when Z = -1.645

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

-1.645 = \frac{X - 5.72}{0.07}

X - 5.72 = -1.645*0.07

X = 5.60

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

7 0
3 years ago
Read 2 more answers
Solve -2(2x+5) -3(x-1)
OLEGan [10]
<h2>Hello!</h2>

The answer is:

-2(2x+5)-3(x-1)=-7x-7\\

<h2>Why?</h2>

To solve the problem, we need to perform the operations and then, add like terms.

We need to apply the distributive property, which is defined by the following way:

a(b+c)=ab+ac

Also, we need to remember how to add like terms. Like terms are terms that share the same exponent and the same variable, for example:

3x+5x+x^{2}=8x+x^{2}

We were able to add only the first two terms since they are like terms, both are sharing the same exponent and the same variable.

So, we are given the expression:

-2(2x+5)-3(x-1)

Then, solving we have:

-2(2x+5)-3(x-1)=-4x-10-(3x-3)\\\\-4x-10-(3x-3)=-4x-10-3x+3\\\\-4x-10-3x+3=-4x-3x-10+3\\\\-4x-3x-10+3=-7x-7

Hence, we have that the answer is:

-2(2x+5)-3(x-1)=-7x-7\\

Have a nice day!

8 0
4 years ago
Please help me !! find the x intercept and the y intercept
klemol [59]
X intercept: when y = 0
y intercept: when x = 0
Plug info inside the equation
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3x = 42, x = 14
Therefore, x intercept: (14,0)
3(0) + 7y = 42
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Therefore, y intercept: (0,6)
5 0
3 years ago
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erastova [34]
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