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Sphinxa [80]
3 years ago
8

If logx= -2, what is x?

Mathematics
1 answer:
horsena [70]3 years ago
7 0

Answer:

Answer C: 0.01

Step-by-step explanation:

As log x = -2 is equal to 10 to the power -2

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Given a sample size of 20, what are the critical values χ2L and χ2R for a 95% confidence level? A. 6.844, 38.582 B. 9.591, 34.17
Novosadov [1.4K]

Answer:

B,C,D

Step-by-step explanation:

6 0
2 years ago
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the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle
inna [77]

Answer:

2m

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

A = \frac{1}{2}bh

They give us the area as 6m^2, so let's include it in the equation.

6 = \frac{1}{2}bh

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that h = b-4

So replace h in the equation with b-4.

You will now get:

6 = \frac{1}{2}b(b-4)

Now we can work towards solving. Let's get simplifying.

12 = b(b-4)\\12 = b^2 - 4b\\

bring everything to one side so we can make a quadratic and factor:

0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2

We get that b=6.

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that h = b - 4, so to find h, we just sub in our b value into that.

h = (6) - 4 = 2

We find that h=2

7 0
1 year ago
How are factors related to prime numbers?
melomori [17]
They have some of the same numbers 

7 0
3 years ago
uppose that 10% of the population is taking a certain drug, and 30% of them suffer from migraines as a side effect. Supposing th
blondinia [14]

Answer:LetAbe the event that the person is taking the drug. We are told thatP(A) = 0.05.LetBbe the event that the person has migraines. We are told thatP(B) = 0.1.Further, we are told thatP(B|A) = 0.3. Using the rules for conditional probability,P(A|B) =P(A∩B)P(B)=P(B|A)P(A)P(B)=0.3·0.050.1=0.15.The probability that a migraine sufferer takes the drug is 15%.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The point (8,-4) lies on a circle. What is the length of the radius of this circle if the center is located at (5,-7)
Kamila [148]
Notice the picture, the radius is just the distance from the
center to a point on the circle, thus

\bf \textit{distance between 2 points}\\ \quad \\\\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{5}}\quad ,&{{ -7}})\quad 
%  (c,d)
&({{ 8}}\quad ,&{{ -4}})
\end{array}\qquad 
%  distance value
\\\\\\
\begin{array}{llll}
d = &\sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\\
&\qquad \uparrow \\
&radius
\end{array}

\bf \begin{array}{llll}
d = &\sqrt{({{ 8}}-{{ 5}})^2 + ({{ -4}}-{{(-7)}})^2}\\
&\qquad \uparrow \\
&radius
\end{array}
\\\\\\
d=\sqrt{(3)^2+(-4+7)^2}\implies d=\sqrt{3^2+3^2}\implies d=\sqrt{18}
\\\\\\
d=\sqrt{9\cdot 2}\implies d=\sqrt{3^2\cdot 2}\implies d=3\sqrt{2}



4 0
3 years ago
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