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3 years ago

Complete the steps to find the value of x.

Mathematics

2 answers:

kirill [66]3 years ago

7 0

Answer:

X=12

Step-by-step explanation:

180-65=115

11x-17=115 (add 17 to 115)

11x=132 (divide everything by 11)

X=12

valentina_108 [34]3 years ago

4 0

Answer:

7.45

Step-by-step explanation:

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For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

3 years ago

An election forecasting model has a 50:50 chance of correctly predicting the election winner when there are two candidates. Befo

Blababa [14]

Answer:

Te correct answer is c) 0.750

Step-by-step explanation:

Lets call:

A = {Allan wins the election}

B = {Barnes wins the election}

MA = {the model predicts that Allan wins}

MB = {the model predicts Barnes wins}

We know that the model has a 50:50 chance of correctly predicting the election winner when there are two candidates. Then:

P(MA | A) = 0.5 = P(MA | B)

P(MB | B) = 0.5 = P(MB | A)

The prior probability P(A) given by the election researcher is 0.75

We must find the posterior probability P(A | MB)

We use Bayes theorem:

$P(A|MB) = \frac{P(MB|A)P(A)}{P(MB)} = \frac{0.5*0.75}{0.5} = 0.75$

We used the result:

$P(MB) = P(MB|A)P(A) + P(MB|B)P(B) = 0.5*0.75+0.5*0.25=0.5$

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4 years ago

What is 247,039 rounded to the nearest thousand

omeli [17]

Pretty sure the answer is 247,000

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anyanavicka [17]

Answer:

Step-by-step explanation:

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3 years ago

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at a restaurant the ratio of kids meals sold to adults meal was 5:4. if there were 20 kids meals sold, what is the combined amou

seraphim [82]

I would set up a proportion:

$\frac{20}{x}=\frac{5}{4}$

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3 years ago

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