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3 years ago

Deepak wrote out the steps to his solution of the equation 5/2-3x-5+4x=-7/4

Mathematics

1 answer:

Masteriza [31]3 years ago

5 0

Answer:

x = 3/4

Step-by-step explanation:

5/2-3x-5+4x=-7/4

Combine like terms

-10/2 + 5/2 +x = -7/4

-5/2+ x = -7/4

Add 5/2 to each side

-5/2+5/2 +x = -7/4 + 5/2

x = -7/4+5/2

Get a common denominator

x = -7/4 + 10/4

x = 3/4

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3 years ago

Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 16 boxes is selected at random from the product

gtnhenbr [62]

Answer:

The probability that the amount dispensed per box will have to be increased is 0.0062.

Step-by-step explanation:

Consider the provided information.

Sample of 16 boxes is selected at random.

If the mean for 1 hour is 1 pound and the standard deviation is 0.1

1 Pound = 16 ounces , then 0.1 Pound = 16/10 = 1.6 ounces

Thus: μ = 16 ounces and σ = 1.6 ounces.

Compute the test statistic $z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$z=\frac{15-16}{\frac{1.6}{\sqrt{16}}}$

$z=\frac{-1}{\frac{1.6}{4}}$

$z=\frac{-1}{0.4}$

$z=-2.5$

By using the table.

P value = P(Z<-250) = 0.0062

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7 0

3 years ago

a suit cost $95 Barry has a discount coupon for 10% off and the city has a 4.5 percent sales tax what is the final cost of the s

SIZIF [17.4K]

SO the suit cost $95 and it has a discount of 10%
so 95*10/100=9.5
so 10% of 95 is 9.5
subtract 9.5 from 95 and that equals 85.5
then you have to add 4.5 percent sales tax
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So the final cost would be $89.34

3 0

4 years ago

If BE−→− bisects ∠ABD and m∠ABD = 66°, find m∠ABE.

Montano1993 [528]

Answer:

∠ABE = 33°

Step-by-step explanation:

<h3>Angle bisector:</h3>

Angle bisector is a straight line that divides the angle into two congruent (equal) angles.

So, BE bisects the ∠ABD into two equal angles.

⇒∠ABE will be half of ∠ABD

∠ABD = ∠ABE + ∠BED

66° = ∠ABE + ∠ABE

66 = 2∠ABE

∠ABE = 66/2

∠ABE = 33°

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2 years ago

How do you solve this problem by factoring it <br><br> n^2-120=7n

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4 years ago

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