What irrational number is between 4.12 and 4.13 A.)sqrt{19} B.)sqrt{23}

Find the three consecutive even integers such that one half of their sum is between 15 and 21. set up and solve a compound inequ

Kay [80]

The even integers are 10,12 and 14.

Concept: An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.

Let x,x+2,x+4 be the least, middle and greatest integer respectively.

According to the question,

15< x+x+2+x+4< 21

(3x+6)/2> 15 and (3x+6)/2< 21

30< 3x+6 3x+6> 42

24<3x 3x<36

8<x x>12

x=10

x+2=12

x+4=14

Hence, The even integers are 10,12 and 14.

For more information about integers, visit

brainly.com/question/17695139

#SPJ4

4 0

2 years ago

The police department uses a formula to determine the speed at which a car was going when the driver applied the breaks, by meas

Alex777 [14]

Answer:

0.03 feet

Step-by-step explanation:

d = 0.03r² + r

When d = 0: 0.03r² + r = 0

r(0.03r + 1) = 0

∴ r = 0

When r = 0: d = 0.03 feet

7 0

3 years ago

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17. Use the empirical rule

-BARSIC- [3]

Answer:

(a) 95% of people have an IQ score between 66 and 134.

(b) 32% of people have an IQ score of less than 83 or greater than 117.

(c) 16% of people have an IQ score greater than 117.

Step-by-step explanation:

We are given that scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17.

Let X = scores of an IQ test

SO, X ~ Normal( $\mu=100, \sigma^{2} = 17^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

Now, the empirical rule states that;

68% of the data values lie within 1 standard deviation from the mean.

95% of the data values lie within 2 standard deviations from the mean.

99.7% of the data values lie within 3 standard deviations from the mean.

(a) The percentage of people having an IQ score between 66 and 134 is given by;

z score for 66 = $\frac{X-\mu}{\sigma}$ = $\frac{66-100}{17}$ = -2

z score for 134 = $\frac{X-\mu}{\sigma}$ = $\frac{134-100}{17}$ = 2

This means that the percentage of people having an IQ score between 66 and 134 is 95%.

(b) Firstly, we have to find the percentage of people having an IQ score between 83 and 117;

z score for 83 = $\frac{X-\mu}{\sigma}$ = $\frac{83-100}{17}$ = -1

z score for 117 = $\frac{X-\mu}{\sigma}$ = $\frac{117-100}{17}$ = 1

This means that the percentage of people having an IQ score between 83 and 117 is 68%.

This means that the percentage of people having an IQ score of less than 83 or greater than 117 = 100% - 68% = 32%.

(c) In the above part, we find that there are 32% of the values that have an IQ score of less than 83 or greater than 117.

This means that half of this will be less than 83 and half of this will be greater than 117.

So, the percentage of people having an IQ score greater than 117 = $\frac{32\%}{2}$ = 16%.

8 0

3 years ago

Sam took a total of 15 pages of notes during 5 hours of class. After attending 13 hours of class, how many total pages of notes

Yakvenalex [24]

Answer:

39 pages

Step-by-step explanation:

Divide 15 by 3 to find the unit rate, which is 3 pages for 1 hour. Multiply the 3 pages by 13 hours.

6 0

3 years ago

Which graph represents the function y=5x(1/3)^x

BARSIC [14]

Answer:

Graph 2 (I've seen this question somewhere)

Step-by-step explanation:

Of all the options you were given, Graph 2 makes the most sense. Otherwise, if you weren't given options, then I should let you know that an exponential graph would represent that function (something that starts low, and slowly goes up infinitely).

6 0

3 years ago