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Salsk061 [2.6K]
2 years ago
15

The ages of three siblings are consecutive integers. The sum of their ages is 42. Calculate their ages. *

Mathematics
1 answer:
stealth61 [152]2 years ago
8 0

Answer:

13, 14, 15

Step-by-step explanation:

Let x = age of one of the siblings

Since the age of the siblings are consecutive integers, the age of the next sibling would be x + 1 and the age of the third sibling would be x + 2

x +( x +1) + (x +2) = 42

3x + 3 = 42

collect like terms and solve for x

x = 13

The age of the first sibling is 13

The age of the second sibling is x + 1 = 13 + 1 = 14

The age of the third sibling is x + 2 = 13 + 2 = 15

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Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probabil
elena-14-01-66 [18.8K]

Answer: The probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

Step-by-step explanation:

Since we have given that

Number of times a coin tossed = 500

Number of times head occurs = 416

So, our Z-score would be

Z_\alpha =\dfrac{416}{500}=0.832

So, At significance level of 0.01, p-value of Z-score is .202704.

and p-value < 0.01, i.e. 0.202704<0.832.

Hence, the probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

7 0
3 years ago
A) Enter the corresponding values on the quadratic formula:
ollegr [7]

The answer is a = 0, b = -5, and c= 39.

<u>Step-by-step explanation</u>:

<u>step 1</u> :

A quadratic equation means that it should have at least one squared term.

<u>step 2</u> :

The standard form is ax² + bx + c = 0.

<u>step 3</u> :

The solution to the quadratic equation is usually written in the form

x = (-b ± √(b2 − 4ac))/(2a)

where a = coefficient of x^2

           b = coefficient of x

          c = constant term

<u>step 4</u> :

The given equation is -5x +32.

∴ The answer is a = coefficient of x^2 = 0

                           b = coefficient of x = -5

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7 0
3 years ago
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5 0
3 years ago
Help
padilas [110]

Answer:

The answer is 100.5 in^{3}.

Step-by-step explanation:

To solve for the volume of the cylinder, use the cylinder volume formula, which is V = \pi r^{2} h.

Next, plug in the information given from the problem, and the formula will look like V = (\pi) (2 in^{2}) (8 in).

Then, solve the equation, and the answer will be 100.5 in^{3}.  

8 0
3 years ago
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Rudiy27

Answer:

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