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3 years ago

Un numero mas su doble es igual a su mitad mas quince ¿cual es el numero ?

Mathematics

1 answer:

n200080 [17]3 years ago

4 0

For this case we have:

"One number plus its double equals its half plus fifteen, what is the number?"

x: Let the variable that represents the unknown number

According to the statement we have:

"One number plus its double" is represented as: $x + 2x$

"Its half plus fifteen" is represented as: $\frac {x} {2} +15$

Then we have the following expression:

$x + 2x = \frac {x} {2} +15$

We solve the equation:

$3x = \frac {x} {2} +15\\3x- \frac {x} {2} = 15\\\frac {6x-x} {2} = 15\\\frac {5} {2} x = 15\\5x = 30\\x = \frac {30} {5}\\x = 6$

So the number is 6

Answer:

$x = 6$

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stiv31 [10]

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3 0

3 years ago

What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline EndFraction in

Helga [31]

Answer:

5.0 times 10 Superscript 6

Step-by-step explanation:

What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline?

This is represented mathematically as:

1.6 × 10¹⁴/ 3.2 × 10⁷

Solving for this

1.6 × 10¹⁴/ 3.2 × 10⁷

= [1.6/3.2] × 10¹⁴-⁷

= 5 × 10⁶

= 5.0 times 10 Superscript 6

4 0

3 years ago

HELP ME PLEASEEE [GIVING BRAINLIEST TO BEST ANSWER W/ EXPLANATION]

vivado [14]

Answer:

Step-by-step explanation:

1. There is a total of 16 outcomes

2. To get outcomes with a sum GREATER than 5, we have

2+4, 3+3, 3+4, 4+2, 4+3, 4+4 for a total of 6 outcomes.

3. To spin the same number twice, the possible outcomes are

1-1, 2-2, 3-3, 4-4 for a total of 4 outcomes.

7 0

3 years ago

Use the following information for the question. Male players at the high school, college and professional ranks use a regulation

Virty [35]

Answer:

13.567%

Step-by-step explanation:

We solve the above question, using z score formula

z = (x-μ)/σ, where

x is the raw score = 23.1 ounces

μ is the population mean = 22.0 ounces

σ is the population standard deviation = 1.0 ounce

More than = Greater than with the sign = >

Hence, for x > 23.1 ounces

z = 23.1 - 22.0/1.0

= 1.1

Probability value from Z-Table:

P(x<23.1) = 0.86433

P(x>23.1) = 1 - P(x<23.1)

P(x>23.1) = 1 - 0.86433

P(x>23.1) = 0.13567

Converting to percentage

= 0.13567 × 100

= 13.567%

Therefore, the percentage of regulation basketballs that weigh more than 23.1 ounces is 13.567%

8 0

2 years ago

A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator.

nirvana33 [79]

Answer:

The first option is correct. Option A is correct.

LCL = 0.270, and UCL = 0.397

80% Confidence interval = (0.270, 0.397)

Step-by-step explanation:

The data for Y and N for the 90 companies is attached to this solution provided.

Y represents companies with at least 1 bilingual operator and N represents companies with no bilingual operator.

The number of Y in the data = 30

Hence, sample proportion of companies with at least one bilingual operator = (30/90) = 0.3333

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = 0.3333

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 80% confidence level for sample size of 90 is obtained from the z-tables.

Critical value = 1.280

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion

n = sample size = 90

σₓ = √[0.3333×0.6667)/90] = 0.0496891568 = 0.04969

80% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.3333 ± (1.28 × 0.04969)

CI = 0.3333 ± 0.0636021207

80% CI = (0.2696978793, 0.3969021207)

80% Confidence interval = (0.270, 0.397)

Hope this Helps!!!

3 0

3 years ago