Section 1.1 what is science pages 3-7 answers

Problem page the sum of two numbers is 56 . the smaller number is 16 less than the larger number. what are the numbers?

igomit [66]

Create equations using the given information
1) x+y=56
2) y=x-16
Substitute the value of y into the 1st equation and simplify
1)x+x-16=56
2x=72
x=36
Substitute the value of x into the 1st equation and simplify
1)x+y=56
36+y=56
y=20

Answer: 20 and 36

8 0

3 years ago

Compute |2+8i|.<br> Need help

EastWind [94]

Answer:

Step-by-step explanation:

|2+8i|=√(2²+8²)=√(4+64)=√68=2√17

5 0

3 years ago

When Brandon went bowling, it cost $4.95 per game, plus a one-time fee to rent the shoes. Brandon played 5 games and paid $32. W

igomit [66]

Answer:

The linear equation used to find the cost to rent the shoes is $24.75+x=32$

Cost to rent the shoes is $7.25.

Step-by-step explanation:

Given:

Cost of per game of bowling = $4.95

Number of games played = 5

Total money paid = $32

We need to find the cost to rent the shoes.

Solution:

Let the cost to rent the shoes be 'x'.

So we can say that;

Total money paid is equal to sum of Cost of per game of bowling multiplied by Number of games played and cost to rent the shoes.

framing in equation form we get;

$5\times4.95+x=32\\\\24.75+x=32$

Hence The linear equation used to find the cost to rent the shoes is $24.75+x=32$

On solving the above equation we will find the value of 'x'.

Now we will subtract both side by 24.75 we get;

$24.75+x=32-24.75\\\\x= \$7.25$

Hence Cost to rent the shoes is $7.25.

4 0

3 years ago

The following dotplot shows the centuries during which the 11 castles whose ruins remain in Somerset, England were constructed.

nasty-shy [4]

Taking into account the rule 1.5 IQR, there aren't high outliers in the displayed data set.

Calculation of the Interquartile Range and the rule 1.5 IQR.

To calculate the Interquartile Range IQR, you must subtract the value of the first quartile Q1, to the third quartile Q3, as you can see in the formula below:

IQR = Q3 - Q1

Using the five-number summary, you can replace the formula:

IQR = 17 - 13

IQR = 4

Before to apply the rule 1.5 IQR, you must multiply the IQR by 1.5:

4 * 1.5 = 6

Now, to apply the rule you must add the value obtained (6), to the third quartile (17), if any data is over this, theoretically it's an outlier:

17 + 6 = 23 (As you do not have any data over this value, it is identified that there are no outliers in the upper section).

Finally, you must subtract the value obtained (6) to the first quartile (13), if any data is under this, theoretically it's an outlier:

13 - 6 = 7 (Since you don't have any castle data built before this century, there wouldn't be any theoretically outliers either).

By this reason, using the rule of 1.5 IQR, you can see there aren't outliers in the displayed data set.

brainliest please if correct.

3 0

2 years ago

Question 9 (4 points)

stiv31 [10]

Answer:

x = 4.8

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

7 0

4 years ago