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balandron [24]
3 years ago
9

Ellen's car averages 35 miles per gallon of gas. If you used equivalent ratios to graph her car's gas usage, how would the graph

differ from the graph of Luis's car's gas usage?
Mathematics
1 answer:
frutty [35]3 years ago
6 0
Divide by the number of miles
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A box holds 8 red and 4 blue beads. Three beads are taken from the box and not replaced. Determine: The probability that all thr
zubka84 [21]

Answer: \dfrac{14}{55}, \dfrac{13}{55}

Step-by-step explanation:

Given

There are 8 red and 4 blue beads

Three beads were taken from the box

(i)No of ways of choosing three red beads out of 12 beads is ^8C_3

Total no of ways ^{12}C_3

Probability is

P=\dfrac{^8C_3}{^{12}C_3}=\dfrac{8\times 7\times 6}{12\times 11\times 10}=\dfrac{2\times 7}{11\times 5}\\P=\dfrac{14}{55}

(ii)atleast two beads refers to minimum two beads

There can be two possibilities (2B,1 R), (3B, 0R)

\Rightarrow P=\dfrac{^4C_2\times ^8C_1}{^{12}C_3}+\dfrac{^4C_3}{^{12}C_3}\\\\\Rightarrow P=\dfrac{6\times 8}{220}+\dfrac{4}{220}=\dfrac{52}{220}\\\\\Rightarrow P=\dfrac{13}{55}

6 0
2 years ago
4. Explain the meaning of a level of significance of 5%. Why is a level of
-Dominant- [34]

Answer:

5% significance level indicates the level of risk, error or exactness. It guides our conclusion on which hypothesis a data supports

Level of significance defined as the possibility, probability or chances of rejecting a null hypothesis when it's results is valid.

For every statistical hypothesis, the result has propency or likeliness to be exact or not. That is, it has chances of containing a type of error referred to as level of significance.

Now, a 5% significance level implies that, the statistical results or analysis has 95% reliability or confidence level.

In other words, a 5% significance level indicates that a result has 0.05 RISK level.

The level of significance is needed for every hypothetical test because it indicates validity of each hypothesis data. It gives confidence such that one is at peace to know the hypothesis a particular data supports

3 0
3 years ago
Describe how (2 cubed) (2 superscript negative 4) can be simplified.
irina [24]

Answer:

1/2

Step-by-step explanation:

Given:

(2 cubed) (2 superscript negative 4)

= (2³)(2^-4)

= (2³) (1 / 2⁴)

= (2³ * 1) / 2⁴

= 2³ / 2⁴

Both numerator and denominator has the same base. Thus, pick one of the bases

Also, in indices, division sign can be translated to subtraction

Therefore,

2³ / 2⁴

= 2^3-4

= 2^-1

= 1/2¹

= 1/2

(2³)(2^-4) = 1/2

7 0
3 years ago
A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n
Setler79 [48]

Answer:

15,267

Step-by-step explanation:

To solve this problem, lets use the exponential growth formula which is:A = P(1+r)^t

A = total amount

P = original amount

r = growth rate (decimal)

t = years

<u>Before we plug in the values, don't forget to change 3.5% to its decimal form.</u>

3.5% -> \frac{3.5}{100} -> 0.035

Lets plug in the values:

A=12,000(1+0.035)^7

A=15,267

The population after 7 years will be 15,267.

8 0
3 years ago
Tony's friends ate 0.6 of the appetizers he made which point on the number line best represents 0.6?
Ilya [14]

Answer:whichever # is closest to 0.6 round up to 1 or 60%

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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