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2 years ago

2 Points Solve the equation 3x + 5y = 16 for y,

Mathematics

1 answer:

Rudiy272 years ago

3 0

Answer:

y=16-3x/5

Step-by-step explanation:

I'm adding a pic of my solution. i hope you find it helpful.

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What is 2.999 rounded to the nearest hundreth?!!

Rus_ich [418]

If you would round it to the nearest tenth which is the third nine, you'd see that it would add up to the whole number 3. So the answer is 3!!

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2 years ago

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Write a divison equation to show 100 ounces of soda equally among 12 people. how many ounces will each person have?

erastovalidia [21]

Answer:

100/12

They will each have 8 ounces.

Step-by-step explanation:

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2 years ago

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A contractor bought 8.2 ftsquared of sheet metal. She has used 3.5 ftsquared so far and has $141 worth of sheet metal remaining

Aleks [24]

Answer:

The cost of a sheet metal per square foot is $30

Step-by-step explanation:

Given

Size of Sheet Metal = 8.2ft squared

Used Sheet Metal = 3.5ft squared

Worth of leftover sheet = $141

Equation: $8.2x - 3.5x = 141$

Required

Find the cost per square foot of the sheet metal

Solving for x in the above equation will give the cost per square foot of the sheet metal.

$8.2x - 3.5x = 141$

$4.7x = 141$

Divide both sides by 4.7

$\frac{4.7x}{4.7} = \frac{141}{4.7}$

$x = \frac{141}{4.7}$

$x = 30$

Hence, the cost of a sheet metal per square foot is $30

8 0

3 years ago

A set of normally distributed data has a mean of 3.2 and a standard deviation of 0.7. Find the probability of randomly selecting

jenyasd209 [6]

Answer:

$P(Z> 3.13) = 0.000874$

Step-by-step explanation:

A set of normally distributed data has a mean of 3.2 and a standard deviation of 0.7. Find the probability of randomly selecting 30 values and obtaining an average greater than 3.6.

We can denote the population mean with the symbol $\mu$

According to the information given, the data have a population mean:

$\mu = 3.2$ .

The standard deviation of the data is:

$\sigma = 0.7$ .

Then, from the data, a sample of size $n = 30$ is taken.

We want to obtain the probability that the sample mean is greater than 3.6

If we call

$\mu_m$ to the sample mean then, we seek to find:

$P(\mu_m> 3.6)$

To find this probability we find the Z statistic.

$Z = \frac{\mu_m-\mu}{\sigma_{\mu_m}}$

Where:

Where $\sigma_{\mu_m}$ is the standard deviation of the sample

$\sigma_{\mu_m} = \frac{\sigma}{\sqrt{n}}$

$\sigma_{\mu_m} =\frac{0.7}{\sqrt{30}}\\\\\sigma_{\mu_m} = 0.1278$

$P(\frac{\mu_m-\mu}{\sigma_{\mu_m}}> \frac{3.6-3.2}{0.1278})$

Then:

$Z = \frac{3.6-3.2}{0.1278}\\\\Z = 3.13$

The probability sought is: $P(Z> 3.13)$

When looking in the standard normal probability tables for right tail we obtain:

$P(Z> 3.13) = 0.000874$

8 0

2 years ago

Anwer of this -3(2x+5)-(x-3)

Mnenie [13.5K]

Answer:x=-12/7

Step-by-step explanation:

-6x-15-x+3=0

-7x-12=0

-7x=12

X=-12/7

8 0

2 years ago