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3 years ago

-3x+10=21 solve for x

Mathematics

1 answer:

Fed [463]3 years ago

8 0

Answer:

Step-by-step explanation:

-3x+10=21

-3x=21-10

-3x=11

x=11/-3

x=- 11/3

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certain computer virus can damage any file with probability 35%, independently of other files. Suppose this virus enters a folde

Ksivusya [100]

Answer:

0.623 is the probability that between 800 and 850 files get damaged.

Step-by-step explanation:

We are given the following information:

We treat virus can damage computer as a success.

P( virus can damage computer) = 35% = 0.35

The conditions for normal distribution are satisfied.

By normal approximation:

$\mu = np = 2400(0.35) = 840\\\sigma = \sqrt{np(1-p)} = \sqrt{2400(0.35)(1-0.35)} = $$23.36$

We have to evaluate probability that between 800 and 850 files get damaged.

$P(800 \leq x \leq 850) = P(\displaystyle\frac{800 - 840}{23.36} \leq z \leq \displaystyle\frac{850-840}{23.36}) = P(-1.712 \leq z \leq 0)\\\\= P(z \leq 0.428) - P(z < -1.712)\\= 0.666 - 0.043 = 0.623 = 62.3\%$

$P(800 \leq x \leq 850) = 62.3\%$

0.623 is the probability that between 800 and 850 files get damaged.

8 0

3 years ago

The greatest common factor of 60w^5y^3 and 78wy^2 is

SIZIF [17.4K]

The answer would be 6w^5y^3

4 0

3 years ago

What key features will all continuous exponential functions have?

Hoochie [10]

Answer:

The graph passes through the point (0,1)
The domain is all real numbers.
The range is y>0.
The graph is increasing.
The graph is asymptotic to the x-axis as x approaches negative infinity.
The graph increases without bound as x approaches positive infinity.
The graph is continuous.

7 0

3 years ago

HELP HELP HELP HELP WILL GIVE BRAINLIEST 4a^2 - b^2 - 2a + b factor

Roman55 [17]

Answer:

4a2−b2−2a+b, there are no factorable rational numbers.

Step-by-step explanation:

4 0

2 years ago

Let logb A= 3; logb C = 2; logb D=5 What is the value of logb D^2/C^3A

Ne4ueva [31]

Answer:

The value of given log function is 1 .

Step-by-step explanation:

Given as :

Logb A = 3

Logb C = 2

Logb D = 5

Now from log property

if , Logb x = c , then x = $b^{c}$

So,

Logb A = 3 , then A = $b^{3}$

Logb C = 2 , then C = $b^{2}$

Logb D = 5 , then D = $b^{5}$

Now, According to question

$Logb\frac{D^{2}}{C^{3}A}$

So, $Logb\frac{(b^{5})^{2}}{(b^{2})^{3}\times b^{3}}$

Or, $Logb\frac{b^{10}}{b^{6}\times b^{3}}$

or, $Logb\frac{b^{10}}{b^{9}}$

Now, since base same So,

$log_{b}b^{10-9}$

∴ $log_{b}b^{1}$

Now log property

$log_{b}b$ = 1

Hence The value of given log function is 1 . answer

5 0

3 years ago