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3 years ago

What is the best estimate for the square root of 15?

Mathematics

2 answers:

cupoosta [38]3 years ago

7 0

The Correct answer is B.
When you multiply each of the numbers by itself, 3.8729 would be the closest to 15

kondaur [170]3 years ago

4 0

Answer:

Step-by-step explanation:

3.87298334621

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In triangle ABC, line A.B.=CB Angle ABC equals 4X -3, and angle CAB equals X -3, what is angle ACB

Soloha48 [4]

Answer:

∠ACB = 28.5

Step-by-step explanation:

In triangle ABC,

angle CAB = x-3

angle ABC = 4X-3

It is also given that AB=CB

We know that if two sides of any triangle are equal then corresponding sides must also be equal.

Hence

angle ACB = angle CAB

angle ACB = x-3 {Given that angle CAB = x-3 }

We know that sum of all three angles of a triangle is 180 degree so let's add given angles

angle ACB + angle CAB + angle ABC = 180

(x-3) + (x-3) + (4x-3) = 180

x-3 + x-3 + 4x-3 = 180

6x-9 = 180

6x = 180+9

6x = 189

x = 189/9

x= 31.5

Now plug value of x into

angle ACB = x-3 = 31.5-3 = 28.5

Hence final answer is

∠ACB = 28.5

3 0

3 years ago

A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are

IRINA_888 [86]

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5 percent of these are defective.

This means that $p = 0.05$

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025$

0.0025 = 0.25% probability that both are defective

4 0

2 years ago

What is the slope of the line given by the equation y=4x?

umka2103 [35]

Answer:

the slope is 1 over 4, or up 1 right 4.

Step-by-step explanation:

4 0

3 years ago

24. Vince spent half of the money in his wallet on a new jumper

11111nata11111 [884]

Let the money alleli initially had be x

Money after buying clothes = x-(1/2)x=(1/2)x

Money spent on shoes = (1/2)x × (1/3)x=(1/6)x

Remaining money = x minus( (1/2)x + (1/6)x)= (1/3)x

Also we know the remaining money is 1000

Therefore

(1/3)x = 1000

Multiplying 3 on both sides

X = 3×1000

X = 3000

The initial amount she had is 3000

Hope this is right!!

5 0

2 years ago

Starks sculpture 30 cubed is a cube with sides 30 inches long. Whats its volume

Zolol [24]

Answer: $27000\text{ cubic inches}$

Step-by-step explanation:

Given : Starks sculpture 30 cubed is a cube with sides 30 inches long.

We know that the volume of a cube is given by :-

$\text{Volume}=(side)^3$

Then , the volume of Starks sculpture 30 cubed will be :

$\text{Volume}=(30)^3\text{ cubic inches}$

$\text{Volume}=30\times30\times30\text{ cubic inches}$

$\text{Volume}=27000\text{ cubic inches}$

Hence, the required volume = $27000\text{ cubic inches}$

7 0

3 years ago