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2 years ago

The Ages of mark and Adam add up to 28 years total mark is 20 years older than Adam how old is adam

Mathematics

1 answer:

aleksandrvk [35]2 years ago

6 0

Answer:

Adam is 8.

Step-by-step explanation:

28-20=8

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The areas of the squares created by the side lengths of the triangle are shown. Which best explains whether this triangle is a r

nikitadnepr [17]

Answer:

Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because $9+12\neq 15$

Step-by-step explanation:

The complete question in the attached figure

we know that

If the length sides of a triangle, satisfy the Pythagorean Theorem, then is a right triangle

$c^2=a^2+b^2$

where

c is the hypotenuse (the greater side)

a and b are the legs

In this problem

The length sides squared of the triangle are equal to the areas of the squares

$c^2=15\ in^2$

$a^2=12\ in^2$

$b^2=9\ in^2$

substitute

$15=12+9$

$15=21$ ----> is not true

The length sides not satisfy the Pythagorean Theorem

therefore

Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because $9+12\neq 15$

8 0

2 years ago

Read 2 more answers

Half the product of two numbers a and b, added to thrice a third number c

Alexus [3.1K]

Answer:

ab/2 + 2c

Step-by-step explanation:

Half the product would be represented by “product/2”

The product of two numbers a and b can be represented by “ab”

Added to twice a third number c = + 2c

8 0

2 years ago

The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

2 years ago

Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of gro

frosja888 [35]

Consider the function f ( x ) = 2479 ⋅ 0.9948x First compare this with f ( x ) po ( 1 + r ) ^ 2 We get po = 2479 And 1 + r = 0.9948 = 1 – 0.0052 r = -0.0052 < 0 Therefore, f is an exponential decay function with a decay rate of 0.0052 x 100 = 0.52%

8 0

2 years ago

Several friends each had 2/5 of a bag of peanuts left over from the baseball game. they realised that they could have bought 2 f

Reika [66]

Leftover per friend times number of friends=total left over
2/5 times number of friends=2
times both sides by 5/2
number of friends=10/2
number of friends=5

5 friends

6 0

2 years ago

Read 2 more answers