13 million<br> in scientific notation

2-8x=10 looking for solution

leva [86]

Answer:

Step 1: Simplify both sides of the equation.

2−8x=10

2+−8x=10

−8x+2=10

Step 2: Subtract 2 from both sides.

−8x+2−2=10−2

−8x=8

Step 3: Divide both sides by -8.

−8x ÷ −8

=

8 ÷ −8

x=−1

Answer:

x=−1

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8 0

3 years ago

Read 2 more answers

NEED HELP ASAP. 20 POINTS!!! The graph of a limacon curve is given. Determine which equation is correct for the graph.

posledela

Answer:

The equation r = 3 - cos Ф is correct for the graph ⇒ 3rd answer

Step-by-step explanation:

Equations of the form r = a + b sin Ф, r = a - b sin Ф, r = a + b cos Ф, and r = a - b cos Ф represent limacons

Equations r = a + b sin Ф, r = a - b sin Ф are symmetric to the vertical axis
Equations r = a + b cos Ф, r = a - b cos Ф are symmetric to the horizontal axis
The shape of the limacons depends on the values of a and b

∵ The figure is a circle

- That means a is greater than twice b

∴ a > 2b

∵ The circle is symmetric to the x axis

∵ The majority of the circle lies in quadrants two and three

- That means most of the graph at the negative part of x

∴ The form of the equation is r = a - b cos Ф

Lets look to the answer to find the right one

∵ a > 2b

∴ a = 3 and b = 1 because 3 > 2(1)

∴ The answer is r = 3 - cos Ф

The equation r = 3 - cos Ф is correct for the graph

8 0

3 years ago

A population of red-bellied snakes is known to have a ratio of grey color morph to red color morph of 53:47. You wish to know th

Vsevolod [243]

Answer:

The probability is $P(X\leq 10)=0.093031581$

Step-by-step explanation:

We know that the ratio of grey color morph to red color morph is $53:47$

This can be written in terms of probability as :

$P(RedColorMorph)=\frac{47}{100}=0.47$

This means that the probability of obtain a red color morph snake in a random sample of 100 snakes is $0.47$ (If I only randomly select one snake).

Now, the number $X$ of red color morph snakes in a random sample ''n'' can be modeled as a binomial random variable. Where ''p'' is the success probability (In our case, the probability from obtain one red color morph snake out of 100 snakes) ⇒

$X:$ ''Number of red color morph snakes in the sample''

$p=0.47$

In our case, $n=30$

⇒ $X$ ~ Bi (n,p) ⇒ $X$ ~ Bi (30,0.47)

The probability function for $X$ is :

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

Where $nCx$ is the combinatorial number define as $nCx=\frac{n!}{x!(n-x)!}$ ⇒

$P(X=x)=(30Cx).(0.47)^{x}.(0.53)^{30-x}$

We need to calculate the probability of $P(X\leq 10)$

This probability is equal to :

$P(X\leq 10)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)$

For example,

$P(X=6)=(30C6).(0.47)^{6}.(0.53)^{24}=0.0015446$

We need to calculate all the terms of the sum and then calculate $P(X\leq 10)$

If we use any statistical program we will find that

$P(X\leq 10)=0.093031581$

7 0

3 years ago

India can paint 3 1/5 walls in one day. How many walls can she paint in 5 1/2 days?

sladkih [1.3K]

Change the mixed numbers into fractions.

$3 \frac{1}{5}$
$3 * 5 = 15$
$15 + 1 = 16$
$3 \frac{1}{5} = \frac{16}{5}$

$5 \frac{1}{2}$
$5 * 2 = 10$
$10 + 1 = 11$
$5 \frac{1}{2} = \frac{11}{2}$

Multiply these fractions together:

$\frac{16}{5} * \frac{11}{2} = \frac{176}{10} 
$

Simplify the fraction.

$\frac{176}{10} / \frac{2}{2} = \frac{88}{5}$

$88 / 5 = 17 R3 = 17 \frac{3}{5}$

India can paint 17 and 3/5 walls in 5 and a half days.

7 0

3 years ago

What number equals 100% if 648 equals 54%

OLEGan [10]

If 648 equals 54%, then 1200 equals 100%.

8 0

3 years ago

13 million in scientific notation