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2 years ago

A computer is priced $500 but is on sale for 30% off. What is the sale price of the computer

Mathematics

2 answers:

charle [14.2K]2 years ago

8 0

Answer: $350.00

Step-by-step explanation:

alexandr402 [8]2 years ago

5 0

Answer:

$350

Step-by-step explanation:

if the sale is 30% we have to find what is 30% of 500 so we can subtracted from what we pay .

line up what you know:

$500 represents 100%

$x represents 30 %

cross multiply

x*100 = 500* 30 ; divide both sides by 100

x= 500*30 /100 = 150

the sale price is 500-150= $350

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g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

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3 years ago

A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If the

dexar [7]

Answer:

16 tomatoes

Step-by-step explanation:

50+3t=98

3t=48

t=16

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3 years ago

For his Science project, Timor has 1 pea plant and 3 bean plants. He measures the heights of the plants once a week. This week's

DedPeter [7]

I think its the last one

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3 years ago

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xxMikexx [17]

For $F$ to be conservative, we need to have

$\dfrac{\partial f}{\partial x}=\cos z$

$\dfrac{\partial f}{\partial y}=10y$

$\dfrac{\partial f}{\partial z}=-x\sin z$

Integrate the first PDE with respect to $x$ :

$\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)$

Differentiate with respect to $y$ :

$\dfrac{\partial f}{\partial y}=10y=\dfrac{\partial g}{\partial y}\implies g(y,z)=5y^2+h(z)$

Now differentiate $f$ with respect to $z$ :

$\dfrac{\partial f}{\partial z}=-x\sin z=-x\sin z+\dfrac{\mathrm dh}{\mathrm dz}\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

So we have

$f(x,y,z)=x\cos z+5y^2+C$

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3 years ago

1. A sine function has the following key features

strojnjashka [21]

Answer:

1) $y= 2sin(\frac{1}{2}x) + 2$

2) $y= 3sin(\frac{\pi}{2}x)-1$

3) $y= 2sin(2x) -2$

Step-by-step explanation:

General form of sin function is

$y= Asin(Bx) + C$

Where A is Amplitude

B is $\frac{2\pi}{\text{Period}}$

C is Mid line

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Frequency = $\frac{1}{4\pi}$

Period is $P=\frac{1}{f}=\frac{1}{\frac{1}{4\pi}}=4\pi$

Amplitude= 2

Mid line y= 2

Y intercept (0,2)

This function is NOT a reflection of its parent function of the x-axis

Solution : We put the value in the general form of sin function

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$y= Asin(Bx) + C$

$y= 2sin(\frac{1}{2}x) + 2$

2) Given : A sine function has the following key features

Period = 4

Amplitude = 3

Mid line y = -1

Y intercept (0,-1)

Solution : We put the value in the general form of sin function

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Period = $\pi$

Amplitude = 2

Mid line y = -12

Y intercept (0,-2)

Solution : We put the value in the general form of sin function

A= 2 , $B=\frac{2\pi}{\pi}=2$ , C=-2

$y= Asin(Bx) + C$

$y= 2sin(2x) -2$

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3 years ago