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3 years ago

9

In February, Paul's electric bill was three dollars more then one-half his gas bill. If the electric bill was ninety-two dollars

, what was the gas bill?

1 answer:

USPshnik [31]3 years ago

7 0

Answer:

49$

Step-by-step explanation:

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using the point-slope formula, what is the equation of the line that passes through the points (1, 5) and (0, 0)? a. y = x b. y

Dmitry_Shevchenko [17]

First we find the slope m as follows:
$m=\frac{y-y_{1}}{x-x_{1}}=\frac{5-0}{1-0}=5$
So the equation is of the form:
y = 5x + b
When x = 1, y = 5. Therefore b = 0.
So the equation is:
y = 5x

4 0

3 years ago

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

weeeeeb [17]

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

6 0

3 years ago

Flip a coin 10 times and record the observed number of heads and tails. For example, with 10 flips one might get 6 heads and 4 t

zepelin [54]

Answer:

The greater the sample size the better is the estimation. A large sample leads to a more accurate result.

Step-by-step explanation:

Consider the table representing the number of heads and tails for all the number of tosses:

Number of tosses n (HEADS) n (TAILS) Ratio

10 3 7 3 : 7

30 14 16 7 : 8

100 60 40 3 : 2

Compute probability of heads for the tosses as follows:

n = 10 tosses

$P(\text{HEADS})=\frac{3}{10}=0.30$

The probability of heads in case of 10 tosses of a coin is -0.20 away from 50/50.

n = 30 tosses

$P(\text{HEADS})=\frac{14}{30}=0.467$

The probability of heads in case of 30 tosses of a coin is -0.033 away from 50/50.

n = 100 tosses

$P(\text{HEADS})=\frac{60}{100}=0.60$

The probability of heads in case of 100 tosses of a coin is 0.10 away from 50/50.

As it can be seen from the above explanation, that as the sample size is increasing the distance between the expected and observed proportion is decreasing.

This happens because, the greater the sample size the better is the estimation. A large sample leads to a more accurate result.

5 0

2 years ago

Why can it help to line up the decimal points before comparing and ordering numbers with decimals?

Colt1911 [192]

Because it helps to see which one is greater, For example: if you line up 0.079 and 0.127 you can easily tell that 0.0127 is greater because it is closer to a hole number. Another example: 0.1 and 0.3, obviously 0.3 is greater. in conclusion, the reason you line up the decimal points is to make it easier to see which numbers are greater, which helps you compare and order easily!

4 0

2 years ago

PLEASE HELP ASAP 40 PTS

DochEvi [55]

Answer:

40 + 3x + 4 + 3x + 4 = 180

48+6x=180

48 - 48 + 6x = 180 -4 8

6x = 132

6x/6 = 132/6

x = 22

Step-by-step explanation:

1. since the triangle is isosceles, angles A and C will have the same measures, so to solve for x, you can add another 3x + 4 or you can multiply A by 2.

2. add like terms

3. subtract

4. divide to get x

7 0

3 years ago