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3 years ago

What is the value of x? Enter your answer in the box.

Mathematics

1 answer:

Svetlanka [38]3 years ago

4 0

Answer: x = 3

Step-by-step explanation:

Note that this triangle has 3 congruent angles. Therefore, it is an equilateral triangle. So, the sides will also be congruent.

So it can be said that : 6x - 3 = 3x + 6

6x = 3x +9

-3x

3x = 9

x = 3

By replacing x with 3, we can prove that these expressions all equal 15.

6(3) -3 = 18 - 3 = 15 . 3(3) + 6 = 9 + 6 = 15 . 5(3) = 15

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HELP!!! Plz

ivanzaharov [21]

Answer:

1.$400.00 2.$4,000.00

Step-by-step explanation:

Scenario: Your team has been hired to provide financial analysis for a start-up company, Bobble in Style, which produces customized bobble heads. The bobble heads are made out of less rigid materials and are more true to life than those of competitors. The company inventors, Mr. and Mrs. Lee, are going to pitch their idea to Shark Tank in a few months, but first they need to have a better understanding of the business financials. The Lee’s are already creating and selling their product from their home-based office and work area. They know what costs are involved with making the bobble heads on a small scale, but they don’t have an understanding of financial figures beyond basic costs. They need you to make sense of various financial figures for them.

Cost Classification: The Lee’s have provided you with the following costs and relevant information that are assumed for year 20XY. Classify the costs as variable costs or fixed costs. Explain the importance of distinguishing between variable and fixed costs. If business is expected to be steady from month to month, provide a monthly budget based on these figures.

Advertising Fees = $4,000

Labor = $400/month

One part-time employee will be hired to take care of packaging and shipping. This employee will be paid $10 per hour. He or she is estimated to work 40 hours total per month.

Packaging Supplies = $3,000

Office Supplies = $800

Phone and Internet Service = $115/month

Product Supplies = $9,000

Shipping Fees = $1,000/month

Conference Exhibitor Fee = $3,000

Travel Expenses for Conference (e.g. airfare, meals, taxi) = $1,200

Utilities for the Home Workshop = $105/month

Break-Even Analysis: You have been asked to calculate how many units need to be sold to break even, based on the costs provided in task #3. Assume that only one conference will be attended and the estimated expenses associated with this conference are on target. Also assume that the value for total units per year is based on sales of 70 units per month. Therefore total units sold per year are 840. The selling price per unit is $79.

4 0

3 years ago

Read 2 more answers

Two students in different classes took the same math test. Both students received a

ivann1987 [24]

Answer:

Both students scored in the top 10% of their classes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Top 10% = Above the 100 - 10 = 90th percentile.

The 90th percentile of scores is X when Z has a pvalue of 0.9, that is, Z = 1.28.

So, the student who had a z-score above 1.28 scored in the 90th percentile of their class.

In student A's class the mean was 78 and the standard deviation of 5. He scored 87.

We have that $\mu = 78, \sigma = 5, X = 87$