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choli [55]
3 years ago
15

If the tangent of an angle of a right angled triangle is 0.8 , then it's longest side is

Mathematics
1 answer:
Blababa [14]3 years ago
8 0

Step-by-step explanation:

  • Assume non-hypotenuse sides are 4 and 5, so tan =4/5=0.8 . Then hypotenuse is sqrt(16+25) = sqrt(41) So sides are 4,5,sqrt (41).
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3) Greta has 2 bags of tiles
zubka84 [21]

Answer:

B would be a *dependent* event, and A would be an *independent* event.

Step-by-step explanation:

Independent events are separate events where the outcome in either event does not affect the other's probability. The opposite, where the outcome of the one event affects the other's probably, is dependent.

For Option A, taking a tile out and then replacing it does not affect the probability that the same tile will be picked for the 2nd picking.

For Option B, taking a tile out of the bag and then picking another tile are 2 separate events and both have different probabilities for picking identical tiles.

Therefore, Option B is dependent and Option A is independent.

4 0
3 years ago
Solve the system by substitution.<br> y = 8x<br> y = 10x - 4<br> Submit Answer
erik [133]

Answer:

x=1, y=8

Step-by-step explanation:

Plug y=8x into y=10x-4.

8x=10x-4

Subtract 10x from each side.

-2x=-2

Divide each side by -2.

x=1

Plug x=1 into y=8x.

y=8(1)

y=8

5 0
3 years ago
What’s the GCM of 16and 48 answer fast
Zolol [24]

GCF or GCM? I’m not sure if you typed it in wrong or not. I’m just making sure

8 0
3 years ago
Read 2 more answers
The sum of two numbers is 33.the larger number is 3 more than two times the smaller number.what are the numbers?
e-lub [12.9K]

Answer: The numbers are 10 and 23

Step-by-step explanation:

Let the smaller number be x

And the larger number be y

Ist sentence;

1. The sum of two numbers is 33.

X + y= 33 .........eqn 1

2. second sentence

the larger number is 3 more than two times the smaller number.

Y = 3 +2x

Put y into eqn 1

X+ 3 +2x = 33

3x= 33- 3

3x= 30

X = 30/3

X= 10 and y= 3+ 2x

Y= 3+ 2(10)

Y = 3+ 20

Y= 23

Therefore the two numbers are 10 and 23

8 0
3 years ago
A data set includes 103 body temperatures of healthy adult humans having a mean of 98.1 F and a standard deviation of 0.56 F. Co
Ira Lisetskai [31]

Answer:

The 99​% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).

98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.

Step-by-step explanation:

The first step is finding the confidence interval

The sample size is 103.

The first step to solve this problem is finding how many degrees of freedom there are, that is, the sample size subtracted by 1. So

df = 103-1 = 102

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 102 and 0.005 in the t-distribution table, we have T = 2.63.

Now, we need to find the standard deviation of the sample. That is:

s = \frac{0.56}{\sqrt{103}} = 0.055

Now, we multiply T and s

M = T*s = 2.63*0.055 = 0.145

For the lower end of the interval, we subtract the mean by M. So 98.1 - 0.145 = 97.955F.

For the upper end of the interval, we add the mean to M. So 98.1 + 0.145 = 98.245F.

The 99​% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).

98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.

5 0
3 years ago
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