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3 years ago

Solve xy -5= k for x

Mathematics

2 answers:

Virty [35]3 years ago

5 0

Hey there!

To solve, let's first add 5 to both sides.

xy=k+5

Now we divide both sides by y.

x= $\frac{k+5}{y}$

I hope this helps!

ad-work [718]3 years ago

5 0

Hey there! :)

xy - 5 = k

We need to isolate x, so we can start out by adding 5 to both sides.

xy - 5 + 5 = k + 5

Simplify.

xy = k + 5

Now, we can simply divide both sides by y.

xy ÷ y = k + 5 ÷ y

Simplify.

$x = \frac{k + 5}{y}$

~hope I helped~

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madreJ [45]

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4 years ago

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NeTakaya

Answer: $P\left ( A\right )=0.45$

$P\left ( B\right )=0.32$

Step-by-step explanation:

Given

$P\left ( A\cup B\right )=0.626$

$P\left ( A\cap B\right )=0.144$

and we know

$P\left ( A\cup B\right )=P\left ( A\right )+P\left ( B\right )-P\left ( A\cap B\right )$

$0.626=P\left ( A\right )+P\left ( B\right )-0.144$

$0.77=P\left ( A\right )+P\left ( B\right )$ -------1

as it is given

A and B are independent therefore

$P\left ( A\cap B\right )=P\left ( A\right )\cdot P\left ( B\right )$

$0.144=P\left ( A\right )\cdot P\left ( B\right )$

Substitute value of $P\left ( B\right )$ in 1

$0.77=P\left ( A\right )+\frac{0.144}{P\left ( A\right )}$

on solving $P\left ( A\right )=0.45$

$P\left ( B\right )=0.32$

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3 years ago

Community Service You are making a bulletin board to

liubo4ka [24]

Answer:

72 ads

Step-by-step explanation:

Let

x -----> the number of ads

we know that

5 sheets of construction paper for a title banner plus the number of ads multiplied by one quarter of sheet must be equal to 23 sheets of construction paper

The linear equation that represent this problem is

$\frac{1}{4}x+5=23$

Solve for x

Multiply by 4 both sides to remove the fraction

$x+20=92$

Subtract 20 both sides

$x=92-20$

$x=72\ ads$

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4 years ago

The quality control department at Alexander Fasteners measured the length of 100 bolts randomly selected from a specified order.

erma4kov [3.2K]

Answer:

a) P [Z < 5.79] = 7.49 %

b) P [ Z > 7.46 ] = 82.38 %

c) P [ Z > 6.65 ] = 91.68 %

Step-by-step explanation:

Normal Distribution

Population Mean μ₀ = 6.8 cm

Standard Deviation of population σ = 0,7 cm

a) P [ Z < 5.79 ] = ??

z value ?

z = ( 5,79 - 6,8 ) / 0,7 ⇒ z = - 1.01 / 0,7 ⇒ z = - 1.442

From z table we get:

z = - 1.442 ⇒ P [Z < 5.79] = 0.0749 or

P [Z < 5.79] = 7.49 %

b) P [ Z > 7.46 ]

z = ( 7.46 - 6,8 ) / 0,7 ⇒ z = 0.66 / 0.7 ⇒ z = 0.942

From z table

P [ Z > 7.46 ] = 0.8238 or P [ Z > 7.46 ] = 82.38 %

c) P [ Z > 6.65]

z = ( 6.65 - 6.8 ) / 0.7 ⇒ z = - 0,15 / 0.7 ⇒ z = - 0.214

From table we get area between 6.65 and the mean, therefore we have to add ( 0.5 ) half of total area

Then from z table

z = - 0,214 ⇒ 0,4168

Then P [ Z > 6.65 ] = 0,4168 + 0.5

P [ Z > 6.65 ] = 0.9168 or

P [ Z > 6.65 ] = 91.68 %

P [ Z > 6,65 ] = 0,5 +

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4 years ago

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atroni [7]

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8 0

3 years ago