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3 years ago

Keyona had 254 dollars to spend on 9 books. After buying them she had 11 dollars. How much did each book cost ?

Mathematics

2 answers:

guajiro [1.7K]3 years ago

8 0

Answer:

Each book costs $27.

Step-by-step explanation:

Subtract 254 - 11.

254 - 11 = 243

Now, divide 243 by 9.

243 ÷ 9 = 27

Hope this helped!

iragen [17]3 years ago

5 0

27 hope to this helped

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Solving Exponential Equations (lacking a common base) (0.52)^q=4

bulgar [2K]

Answer:

q = log4 / log0.53

q = -2.189

Step-by-step explanation:

(0.53)^q = 4

Taking log of both sides!

q log 0.53 = log 4

q = log 4 / log 0.53

q = 0.602 / -0.275

q = - 2.189

This can be checked to confirm correctness.

Substituting q = -2.189

(0.53)^ -2.189 = 1/ 0.249

= 4.01 Proved!

(Note that the "1" is because of the negative sign)

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3 years ago

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Which value for x makes the sentence true? 2.45 + x = 3.64

Scrat [10]

Answer:

1.19

Step-by-step explanation:

You're trying to figure out what x is here.

So you'll want to isolate the x. That means, get it alone.

Since both sides are equivalent, when you subtract 2.45 from the x side, you also subtract it from the other side too.

x = 3.64 - 2.45

x = 1.19

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3 years ago

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A livestock company reports that the mean weight of a group of young steers is 1143 pounds with a standard deviation of 88 pound

malfutka [58]

Answer:

a) P(x<1200)=74.14%

b) P(1100<X<1250)=57.54%

Step-by-step explanation:

Normal Distribution

The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model $N(\mu,\sigma)$ to understand the behavior of some real-life variables. Where $\mu$ is the mean value and $\sigma$ is the standard deviation.

In our case, we have

$\mu=1143,\ \sigma=88$

And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form

NORM.DIST(x,mean,standard_dev,cumulative)

a) X<1200

The formula is used with the following parameters

NORM.DIST(1200,1143,88,true)

and we get

$P(X$