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2 years ago

Sarah's brother is 12 less than twice her age. If Sarah is 16, what equation represents this situation?

Mathematics

1 answer:

dybincka [34]2 years ago

7 0

The equation that can be used to represent the ages of Sarah and his brother will be 2x - 12 = 16.

<h3>How to solve the equation</h3>

From the question given, Sarah's brother is 12 less than twice her age and Sarah is 16.

Let Sarah's age be represented by x.

Therefore, the equation to represent the situation will be:

= (2 × x) - 12 = 16

2x - 12 = 16

2x = 16 + 12.

2x = 28

x = 28/2 = 14

Sarah is 14 years.

Learn more about equations on:

brainly.com/question/13763238

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a hiking trail has a slope of 7/32. what is the measure of the angle it makes with the horizontal line

Ahat [919]

10 degree slope angle

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3 years ago

$12 per 45 minutes is how much an hour? (I will give good rating to anyone who answers)

uysha [10]

Answer:

$16

Step-by-step explanation:

1. Simplify 12/45 which is now 4/15. Now we know $4 is made every 15 minutes.

2. Divide into 60(minutes) by the the 15. So 60÷15=4. Now we the number of times 15 can be divided into 60.

3. Multiply the ratio 4/15 by 4/4 to see how much is made in an hour. 4x4/15×4=16/60.

$16 is made in 60 minutes (1 hour).

3 0

3 years ago

Suppose a random variable, x, arises from a binomial experiment. If n = 6, and p = 0.30, find the following probabilities using

AlladinOne [14]

Answer:

a) P(X=1) = 0.302526

b) P(X=5) = 0.010206

c) P(X=3) = 0.18522

d) P(X≤3) = 0.92953

e) P(X≥5) = 0.010935

f) P(X≤4) = 0.989065

Explanation:

Binomial experiments are modeled by the formula:

$P(X=x)=C(n,x)\cdot p^x\cdot (1-p)^{(n-x)}$

Where

P(X=x) is the probability of exactly x successes

$C(n,x)=\dfrac{n!}{x!\cdot (n-x)!}$

p is the probability of one success, which must be the same for every trial, and every trial must be independent of other trial.

n is the number of trials

1 - p is the probability of fail

there are only two possible outcomes for each trial: success or fail.

a.) P (x=1)

$P(X=1)=\dfrac{6!}{1!\cdot (6-1)!}\times (0.3)^1\times(1-0.3)^{(6-1)}=0.302526$

b.) P (x=5)

$P(X=5)=\dfrac{5!}{5!\cdot (6-5)!}\times (0.3)^5\times (1-0.3)^{(6-5)}=0.010206$

c.) P (x=3)

Using the same formula:

$P(X=3)=0.18522$

d.) P (x less than or equal to 3)

P(X≤3)= P(X=3) + P(X=2) + P(X=1) + P(X=0)

Also,

P(X≤3) = 1 - P(X≥4) = 1 - P(X=4) - P(X=5) - P(X=6)

You can use either of those approaches. The result is the same.

Using the second one:

P(X=4) = 0.059335
P(X=5) = 0.010206
P(X=6) = 0.000729

P(X≤3) = 1 - 0.05935 - 0.010206 - 0.000729 = 0.92953

e.) P(x greather than or equal to 5)

P(X≥5) = P(X=5) + P(X=6)

P(X≥5) = 0.010206 + 0.000729 = 0.010935

f.) P(x less than or equal 4)

P(X≤4) = 1 - P(X≥5) = 1 - P(X=5) - P(X=6)

P(X≤4) = 1 - 0.010206 - 0.000729 = 0.989065

5 0

3 years ago

Solve and simplify 25 x 1/5 (thanks)

sammy [17]

Answer:

Step-by-step explanation:

First let turn 25 into a fraction

$\frac{25}{1}*\frac{1}{5}$

Multiply

$\frac{25}{5}$

Divide/Simplify

$=5$

Answer = 5

[RevyBreeze]

4 0

2 years ago

Please help! Will mark the brainliest!

NikAS [45]

Interval notation uses parenthesis ( or ) for points that are not included in the function (open circle) and brackets [ or ] for points that are included in the function (filled in circle).

Remember that the domain for a function is the range of x-values in a function.

Interval notation includes the numbers at the each end of a continuous function. For function F, the leftmost x-value is 0. The rightmost x-value is 8. Both points at x = 0 and x = 8 are included in the function (filled in circles), so you would use the brackets. The entire function is continuous between those two points.

That means the interval notation for the domain of F is:
[0, 8]

------

Answer: [0, 8]

7 0

3 years ago