How many whole numbers "n" satisfy the inequality shown ?<br>1/9<1/sqroot of n<1/7

A company wants to decrease their energy use by 10%. If their electric bill is currently $1,900 a month, what will their bill be

NemiM [27]

Answer:

A. $1,710

B. Yes, probably.

Step-by-step explanation:

Assuming that a 10% decrease in energy use leads to a 10% decrease in the electric bill:

We'll want to find the value which is 10% less than the original value, i.e., the bill cost which is 90% of the original bill.

90% = 0.9

Since the original bill was $1900, we can just multiply 1900 by 0.9:

$1900*0.9=1710$

Answer: A bill of $1,710 would equal a 10% decrease.

Since $1,672 is less than that, then they have decreased their energy use by more than 10% which is likely a success.

Answer: Yes, probably.

5 0

3 years ago

Kaitlin, Tony, and Austin sent a total of 103 text messages over their cell phones during the weekend. Austin sent 4 times as ma

emmainna [20.7K]

The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.

<h3>How to write and solve equation?</h3>

let

Number of messages Kaitlyn sent = x
Number of messages Tony sent = x + 5
Number of messages Austin sent = 4(x + 5)
Total messages = 103

103 = x + (x + 5) + 4(x + 5)

103 = x + x + 5 + 4x + 20

103 = 6x + 25

103 - 25 = 6x

78 = 6x

x = 78/6

x = 13

Number of messages each sent:

Number of messages Kaitlyn sent = x

= 13 messages

Number of messages Tony sent = x + 5

= 13 + 5

= 18 messages

Number of messages Austin sent = 4(x + 5)

= 4(13 + 5)

= 4(18)

= 72 messages

Learn more about equation:

brainly.com/question/2972832

#SPJ1

3 0

1 year ago

What is the value of x drawing not to scale

AVprozaik [17]

angle x would end up being equal to 71 degrees.

8 0

3 years ago

Read 2 more answers

Consider the probability that greater than 96 out of 153 DVDs will work correctly. Assume the probability that a given DVD will

ICE Princess25 [194]

Answer:

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

Step-by-step explanation:

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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .