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1 year ago

2 ( x + a ) = 4b explain how i solve this not the answer how to sovle it please

Mathematics

1 answer:

aleksley [76]1 year ago

6 0

Answer:

x = 2b - a

Step-by-step explanation:

2(x + a) = 4b

2x + 2a = 4b

x + a = 2b

x = 2b - a

I think this question is incomplete

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Jaden sings in the school choir. The choir has 54 members. Two thirds of the members are girls. How many girls are in the choir?

Alika [10]

Answer:

36 girls are in the choir

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of

anzhelika [568]

9514 1404 393

Answer:

205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

A = LW

7585 = (6w-17)(w)

6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

$x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}$

The width is 37 feet, so the length is ...

6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

8 0

3 years ago

The total weight of a fully loaded coal truck is 4 tons. The ratio of the weight of the truck to the weight of the coal is 7:5.

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

total weight is 4 tons.

ratio of weight of truck to weight of coal is 7:5....added = 12

so 7/12 of the total weight is the truck's

and 5/12 of the total weight is the coal

7/12 of 4 tons = 7/12 * 4 = 28/12 = 2 1/3 tons <== weight of truck

5/12 of 4 tons = 5/12 * 4 = 20/12 = 1 2/3 tons <== weight of coal

8 0

3 years ago

I need help, i don’t understand how to do it

3241004551 [841]

Hai , you can use Pythagoras Theorem to find the length which is hypotenuse.

It will be 7^2 + 3^2 = 58

square root 58 and you will get 7.62

Hope this helps and i am sorry if my answer was wrong .

3 0

3 years ago

An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0

zmey [24]

Answer:

96.33% probability that everyone who appears for the flight will get a seat

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .