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3 years ago

Tell whether the triangle with the given side lengths is a right triangle. 40m, 50m, 60m

1 answer:

7 0

It is not because it doesn’t have a length of 90 which is a right triangle
hope this helps
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The perimeter of a rectangular painting is 362 CM if the length of the painting is 97 centimeters what is its width

pochemuha

Answer:

Step-by-step explanation:

97+97=194 because a rectangle has 2 long sides.

362-194=168

168/2=84

Width=84 cm

4 0

3 years ago

Jessie claims that if any number is doubled and then increased by 1, the result will be greater than 4.

Kamila [148]

Answer:

n = 1

Step-by-step explanation:

1 x 2 = 2
2 + 1 = 3
3 < 4

hope this helps

3 0

2 years ago

What is the coefficient in the expression 40a-61=17

zepelin [54]

Answer:

a = 1.95

Step-by-step explanation:

40a - 61 = 17

40a - 61 + 61 = 17 + 61

40a = 78

40a / 40 = 78 / 40

a = 1.95

5 0

3 years ago

The following are the ages (years) of 5 people in a room:

slava [35]

Answer:

The age of the person who entered the room is 15

Step-by-step explanation:

We are given:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, and then the mean age of 6 people is 17.

We need to find the age of person who entered the room.

The formula to calculate mean is: $Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}$

Now, in question we are given mean of 6 people that is 17

The age of 5 people are given while age of one person who enters the room is unknown.

Let age of person whose age is unknown= x

Now finding x using mean formula

$Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\\17=\frac{17+16+ 15+ 17+ 22+x}{6}\\17=\frac{87+x}{6}\\17*6=87+x\\102=87+x\\x=102-87\\x=15$

So, The value of x: x=15

Hence, the age of the person who entered the room is 15

4 0

3 years ago

A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.

AysviL [449]

Answer:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X= 0.996$ the sample mean

$s=0.004$ the sample deviation

$n =25$ the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

We can use as estimator of the real population deviation the sample deviation for this case $\hat \sigma = s$ / The critical value for 99% of confidence interval is given by $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

6 0

3 years ago