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3 years ago

A restaurant bill is $84.97 find the 20% show your work

Mathematics

2 answers:

Zarrin [17]3 years ago

6 0

Answer:

20% of $84.97 is 16.99, or 17 if you're rounding.

Step-by-step explanation:

83.97*0.30 = 16.994

That's pretty much all the work there is to do.

ICE Princess25 [194]3 years ago

3 0

Answer:

16.994

Step-by-step explanation:

it will be

20% = 0.2

84.97×0.2 =16.994

You might be interested in

Kerry and three friends went out for dinner. They split a large pizza and each person had a salad and a soda. They want to leave

klio [65]

Answer:

Each person will pay $ 7.20

Step-by-step explanation:

First we find the total bill

Pizza $18.60

Salad $2.50

Total $ 23.35

Sales Tax would be= 8 1/4% of $ 23.35 =$ 1.926= $ 1.93

Tip = 15% of $ 23.35= $ 3.5025

Total Bill paid= $ 23.35 + $ 1.93+ $3.50= $ 28.7825 or $ 28.78

Now dividing the bill among 4 persons = $ 28.78/4= $ 7.196 or $ 7.20

Paying the bill equally is better and convenient than paying alone as each person gets an equal share of pizza, salad and the soda.

3 0

3 years ago

Need done asap

Stells [14]

Answer:

transitive property

Step-by-step explanation:

According to transitive property, if there is some relation between a and b by some rule , and then there same relation between b and c by some rule, then

A and C are related to each other by some rule.

Example:

A = B

B=C

then by transitive property

A=C

As value of A and C are same that is B we can say that A is equal to C whose value is B.

_______________________________________________

Given

a =2z and 2z=b

here both c and b has value equal to Z , Thus, they follow transitive property.

8 0

3 years ago

A ski lift is designed with a total load limit of 20,000 pounds. It claims a capacity of 100 persons. An expert in ski lifts thi

Yanka [14]

Answer:

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n values of a distribution, the mean is $\mu \times n$ and the standard deviation is $\sigma\sqrt{n}$

An expert in ski lifts thinks that the weights of individuals using the lift have expected weight of 200 pounds and standard deviation of 30 pounds. 100 individuals.

This means that $\mu = 200*100 = 20000, \sigma = 30\sqrt{100} = 300$

If the expert is right, what is the probability that a random sample of 100 independent persons will cause an overload

Total load of more than 20,000 pounds, which is 1 subtracted by the pvalue of Z when X = 20000. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20000 - 20000}{300}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

1 - 0.5 = 0.5

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

5 0

3 years ago

In a G.P the difference between the 1st and 5th term is 150, and the difference between the

liubo4ka [24]

Answer:

Either $\displaystyle \frac{-1522}{\sqrt{41}}$ (approximately $-238$ ) or $\displaystyle \frac{1522}{\sqrt{41}}$ (approximately $238$ .)

Step-by-step explanation:

Let $a$ denote the first term of this geometric series, and let $r$ denote the common ratio of this geometric series.

The first five terms of this series would be:

$a$ ,
$a\cdot r$ ,
$a \cdot r^2$ ,
$a \cdot r^3$ ,
$a \cdot r^4$ .

First equation:

$a\, r^4 - a = 150$ .

Second equation:

$a\, r^3 - a\, r = 48$ .

Rewrite and simplify the first equation.

$\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}$ .

Therefore, the first equation becomes:

$a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150$ ..

Similarly, rewrite and simplify the second equation:

$\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}$ .

Therefore, the second equation becomes:

$a\, r\, \left(r^2 - 1\right) = 48$ .

Take the quotient between these two equations:

$\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}$ .

Simplify and solve for $r$ :

$\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}$ .

$8\, r^2 - 25\, r + 8 = 0$ .

Either $\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}$ or $\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}$ .

Assume that $\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}$ . Substitute back to either of the two original equations to show that $\displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75$ .

Calculate the sum of the first five terms:

$\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}$ .

Similarly, assume that $\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}$ . Substitute back to either of the two original equations to show that $\displaystyle a = \frac{497\, \sqrt{41}}{41} - 75$ .

Calculate the sum of the first five terms:

$\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}$ .

4 0

2 years ago

How do you solve this? cosθ-tanθcosθ=0

laila [671]

First, lets note that $tan(\theta)\cdot cos(\theta)=sin(\theta)$ . This leads us with the following problem:

$cos(\theta)-sin(\theta)=0$

Lets add sin on both sides, and we get:

$cos(\theta)=sin(\theta)$

Now if we divide with sin on both sides we get:

$\frac{cos(\theta)}{sin(\theta)}=1$

Now we can remember how cot is defined, it is (cos/sin). So we have:

$cot(\theta)=1$

Now take the inverse of cot and we get:
$\theta=cot^{-1}(1)=\pi\cdot n+ \frac{\pi}{4} , \quad n\in \mathbb{Z}$

In general we have $cot^{-1}(1)=\frac{\pi}{4}$ , the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:

4 0

3 years ago