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3 years ago

I need Help with this Math Problem Plz Help TRUE OR FALSE QUESTION

Mathematics

2 answers:

frosja888 [35]3 years ago

7 0

5,024 move the decimal 3 places to the right,

kipiarov [429]3 years ago

4 0

Hey there,

If you have a small number (smaller than 1, in absolute value), then the power is going to be negative.

if it's a large number (bigger than 1, in absolute value), then the exponent is going to be a positive.

Therefore the answer to the given question is true.

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Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an

KATRIN_1 [288]

Answer:

0.083

Step-by-step explanation:

Numbers of Cube = 6

Faces on coins = 2

Therefore, The total outcomes = $6 \times 2 = 12$

Now the favourable outcome that he rolls a 4 & flips a head = 1

The probability that he rolls a 4 & flips a head = 1

$\frac{Favourable \: Outcome}{Total \: Outcome}$

=> The probability that he rolls a 4 & flips a head = $\frac{1}{2} = 0.83333/ approx. 0.83$

Therefore, The probability that he rolls a 4 & flips a head = 0.083

7 0

3 years ago

Read 2 more answers

What is 2x+1<8x-2 I dont get it please help

rjkz [21]

Answer: x> 1/2

Step-by-step explanation:

if 2x+1∠ 8x-2

inequality , treat this problem like any other equation

have the unknown(x) in one side, and the values on the other side

2x-8x < -1-2

-6x< -3 we multiply by -1, do not forget if we multiply by -1 the sign will change

6x>3 divide by 3

2x>1

x>1/2

6 0

2 years ago

2logx=3-2log(x+3) solve for x

AVprozaik [17]

Answer:

$\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}$

Step-by-step explanation:

$2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}$

$x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D$

6 0

3 years ago

A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t

Rashid [163]

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\cdot (n-k)!}$

Compute the number of ways to select 37 people from 101 as follows:

${101\choose 37}=\frac{101!}{37!\cdot (101-37)!}$

$=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775$

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

5 0

2 years ago

Diversification means that you invest in _____.

kupik [55]

Diversification means that you invest in "Multiple investments to split up your currency to the make more investments to profit more of your currency." Obviously depending on the percentage of potential growth in the investment you chose.

If you need me to corect this answer, I'd be more than happy to. <3

7 0

3 years ago

Read 2 more answers