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slavikrds [6]
2 years ago
8

The cost of Nate's dinner including a 15% tip was $43.70. What was the cost of dinner alone?

Mathematics
1 answer:
Nookie1986 [14]2 years ago
7 0

Answer:

The cost of dinner alone was $37.145

Step-by-step explanation:

15%=0.15----Convert your percentage into a decimal

43.70*0.15=6.555----Multiply the cost of dinner with the decimal

$43.70-$6.555=$37.145----Subtract the last number(6.555) from the total(43.70) to get the cost of dinner alone of $37.145 -This is making you subtract the percentage from the total!

I hope this helped!

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The lifetime of a certain type of TV tube has a normal distribution with a mean of 61 and a standard deviation of 6 months. What
Ad libitum [116K]

Answer:

P(57

P(-0.67

P(-0.67

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the lifetime for a TV of a population, and for this case we know the distribution for X is given by:

X \sim N(61,6)  

Where \mu=61 and \sigma=6

We are interested on this probability

P(57

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(57

And we can find this probability like this:

P(-0.67

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.67

6 0
3 years ago
Y=-x-3
nadya68 [22]

Answer: Heyaa! :)

  • <em>1. y=-x-3 = -1</em>

<em>Slope:  </em>−1

<em>y-intercept: </em>(0,−3)

  • <em>2. y=4x-5 =</em> 4

<em>Slope:</em> 4

<em>y-intercept: </em>(0,−5)

  • <em>3. 2x-y=-2 =</em> 2

<em>Slope:</em> 2

<em>y-intercept:</em> (0,2)

  • <em>4. x+y=4 =</em> 1

Slope: −1

<em>y-intercept:</em> (0,4)

  • <em>5. 3x+4y=-12 = - 3/4</em>

<em>Slope: </em>−3/4

<em>y-intercept: </em>

(0,−3)

Hopefully this helps<em> you!</em>

<em />

- Matthew

4 0
2 years ago
The mass of at exit book is about 1.25kilograms how many pounds
WARRIOR [948]
The answer is 2.756 in pound's
7 0
3 years ago
Round 14,620 to the nearest ten thousand
DanielleElmas [232]
The ten thousandth number in 14,620 is 1

the number to the right of 1 is 4

4>5

The answer is 10,000
5 0
3 years ago
the sum of two numbers is 41. the smaller number is 13 less than the larger number. what are the numbers
tankabanditka [31]

Answer:

another number =27

Step-by-step explanation:

Let X stand for the larger number. The smaller number is therefore X - 13. We can now write the sum of the two numbers as:

X + (X - 13) = 4

X + X - 13 = 41

Gather the X’s and rewrite as,

2X - 13 = 41

Add 13 to both sides to get

2X = 54

Divide both sides by 2 to solve for X,

X = 27

8 0
2 years ago
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