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3 years ago

here is an inequality 2x + 5 > 50 explain the steps you would use to solve the equation for x what would the graph look like

Mathematics

1 answer:

Hatshy [7]3 years ago

3 0

Answer:

$x>22.5$

Step-by-step explanation:

Given linear inequality:

$2x+5>50$

Solving for $x$

Subtracting both sides by 5.

$2x+5-5>50-5$

$2x>45$

Dividing both sides by 2.

$\frac{2x}{2}>\frac{45}{2}$

∴ $x>22.5$

The graph of the inequality is shown below.

The line is represented by dotted line because the inequality sign is only greater than which means 22.5 is not included in the solution.

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You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Write

skad [1K]

Answer:

Hope I helped! Brainleist!

Step-by-step explanation:

you get $12/week

and you have $

your equation is

y=12x

now...

y = 384

384=12x

x= 32

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3 years ago

Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 38 miles per day. The mileage per day

Montano1993 [528]

Answer: 0.1824

Step-by-step explanation:

Given : The mileage per day is distributed normally with

Mean : $\mu=110\text{ miles per day}$

Standard deviation : $\sigma=38\text{ miles per day}$

Let X be the random variable that represents the distance traveled by truck in one day .

Now, calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 132 miles per day.

$z=\dfrac{132-110}{38}\approx0.58$

For x= 159 miles per day.

$z=\dfrac{159-110}{38}\approx1.29$

Now by using standard normal distribution table, the probability that a truck drives between 132 and 159 miles in a day will be :-

$P(132$

Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824

6 0

3 years ago

In the chemistry lab an experiment requires 500 mL of one ingredient to be mixed with 1000 mL of another. How many ounces is the

Shalnov [3]

Answer:

Step-by-step explanation:

1 mL = 0.034 fluid ounces

(500 + 1000) x 0.034

= 51 fluid ounces

3 0

3 years ago

Read 2 more answers

When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard devia

just olya [345]

Given Information:

Mean time to finish 400 meter dash = μ = 65 seconds

Standard deviation to finish 400 meter dash = σ = 2.5 seconds

Confidence level = 95%

Required Information:

95% confidence interval = ?

Answer:

$CI = 60 \: to \: 70 \: seconds$

Step-by-step explanation:

In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.

The confidence interval for 95% confidence limit is given by

$CI = \mu \pm 2\sigma$

Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.

$CI = 65 \pm 2(2.5)$