please answer this question step by step with formula.
Sam Store orders 200 pens that list for $0.5 each, 150 pads that list for $0.7 each, and 100

pencils that list for $0.2 each. The single trade discount rate for the order is 15%. Find the net

price of the order and the amount of discount.​

Answer:

105

Step-by-step explanation:

So, we know the formula is:

D=rt or D=r*t

We only need 2 of the 3 sets of values given in the table, one to find our answer, and the other to double check our answer.

Here are the two sets we can look at:

t=2, d=210

t=3, d=315

Lets plug these in and solve:

210=r*2

Divide both sides by 2 to get r alone:

105=r

Now lets check if this is true by pluggin in 105 for r in the second set, and seeing if it works:

D=r*t

315=105*3

=

315=315

So 105 is our answer.

Hope this helps!

Answer:cos(x+pi/3) - sin2x=0

<=> cos(x+pi/3)=sin2x

<=> cos(x+pi/3)=cos(pi/2-2x)

<=>x+pi/3=pi/2-2x+k2pi

Or x+pi/3=-pi/2 +2x+k2pi

<=>x=pi/18 + k2pi/3

Or x=5pi/6 +k2pi

Step-by-step explanation:

Answer:

Step-by-step explanation:

To calculate the mode, we simply count the number of times that each value appears in the data set and then find the value that appears most often.

A data set can have more than one mode if there is more than one value with the highest count. For example, both 2 and 3 are modes in the data set {1; 2; 2; 3; 3}.

Example of a set of data having more than one node is {1; 2; 2; 3; 3}.

What is Node?

An example S of the data type node. set is a subset of the nodes of a graph G. S is said to be valid for the nodes of G.

Given,

To calculate the mode, we simply count the number of times that each value appears in the data set and then find the value that appears most often.

Now,

A data set can have more than one mode if there is more than one value with the highest count.

For example, both 2 and 3 are modes in the data set {1; 2; 2; 3; 3}.

Learn more about node,

https://brainly.com/question/32196475

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9514 1404 393

Answer:

  (c)  10 -N = 8 +N

Step-by-step explanation:

The difference between 10 and a number is (10 -N).

The sum of 8 and a number is (8 +N).

In this context, "is" means "equals," so we have ...

  10 -N = 8 +N

Answer:

Sister's house is 7.5 feet high

Step-by-step explanation:

Given :

     My house = 5  feet

     Sisters house = [tex]1\frac{2}{4}[/tex]  [tex]times[/tex]  [tex]my \ house[/tex]

                           = [tex]\frac{6}{4} \times 5[/tex]

                           [tex]=\frac{30}{4}\\\\=\frac{15}{2}\\\\= 7 . 5 \ feet[/tex]

Answer:

-65

Step-by-step explanation:

Answer:

5x+50

Step-by-step explanation:

you have one x. An x plus fifty. And 3 mire x's. So 5 x's and a 50.

========================================================

Explanation:

The darkest shaded region is in the northern most region. This region is above both blue boundary lines.

A sample point from this region is (5,2)

We'll plug these coordinates into the first inequality of choice A

[tex]3x+4y \le 12\\\\3(5)+4(2) \le 12\\\\23 \le 12\\\\[/tex]

which is false. So we can rule out choice A.

We can rule out choice B for the exact same reason.

The answer is between C and D

---------------------------

Let's plug those x,y coordinates into the first inequality of choice C

[tex]3x+4y \ge 12\\\\3(5)+4(2) \ge 12\\\\23 \ge 12\\\\[/tex]

which is true. So far, so good.

Now repeat for the second inequality of choice C

[tex]2x-5y \ge 10\\\\2(5)-5(2) \ge 10\\\\0 \ge 10\\\\[/tex]

which is false. We rule out choice C. Choice D is the only thing left, so it must be the answer.

---------------------------

Let's check the second inequality of choice D just for the sake of completeness

[tex]2x-5y \le 10\\\\2(5)-5(2) \le 10\\\\0 \le 10\\\\[/tex]

which is true.

We can see that (x,y) = (5,2) makes both inequalities of choice D to be true, and therefore we have found the final answer.

Answer: TRUST ITS THE CHOICE D

Step-by-step explanation:

Answer:

80 percent decrease

Step-by-step explanation:

80% of 50 = 40 and 50 - 40 = 10

Answer:

It decreases 80%

Step-by-step explanation:

If the 50g one is 100%, and the 10g one is a fraction of that, find out what 10/50 is as a percent.  

10/50= 20%

Because this is the remaining mass, the other 80% has been deducted meaning that the mass of the large container has decreased 80% to get to the mass of the smaller one.  

Answer:

0.8 you yes both of them has the same answer , so it is a true portion

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

[tex]\frac{4}{5} =\frac{48}{60}[/tex]

This is a true proportion because when you cross multiply you get the same product.

[tex]48*5=240[/tex]

[tex]4*60=240[/tex]

Explanation:

We replace x with x-1 to shift 1 unit to the right. This is because we're making each new input 1 smaller than the old input, which means we're moving the xy axis 1 unit to the left while keeping the f(x) curve fixed in place. That gives the illusion f(x) is moving 1 unit to the right.

The -1 at the end will subtract 1 from the y coordinate and shift everything down by 1 unit.

Answer:

D

Step-by-step explanation:

1 unit Right ³√x-1

unit down (³√x-1)-1

9514 1404 393

Answer:

  g(x) = 3|x|

Step-by-step explanation:

Each value of g is 3 times the corresponding value of f:

  g(x) = 3·f(x)

  g(x) = 3|x|

Answer:

4.69

Step-by-step explanation:

4+9/100+6/10​

4 is a whole number

9/100 = .09

6/10 = .6

Adding together

4+.09+.6

4.69

Answer:

4.69

Step-by-step explanation:

[tex] \small \: 4 + \frac{9}{100} + \frac{6}{10} \\ [/tex]

[tex] \small4 + \frac{9}{100} + \frac{3}{5} \\ [/tex]

[tex] \small \frac{100 \times 4}{100 \times 1} + \frac{9}{100} + \frac{ 3 \times 20}{5 \times 20} \\ [/tex]

[tex] \small \frac{400}{100 \times 1} + \frac{9}{100} + \frac{ 60}{100} \\ [/tex]

[tex] \small \frac{400 + 9 + 60}{100 \times1} \\ [/tex]

[tex] \small \frac{469}{100 \times 1} \\ [/tex]

Divide we get

4.69

Step-by-step explanation:

→ Number of cars Roger has = m

→ Number of cars Don has = 2(Cars Roger has)

→ Number of cars Don has = 2m

→ Number of cars Larry has = 5 + (Cars Roger has)

→ Number of cars Larry has = 5 + m

Step-by-step explanation:

32/3+21/5÷7

14.87÷7

2.124

Answer:

36

Step-by-step explanation:

The tangents from the same point are equal. Each point of the triangle extend 2 tangents to the circle.

Tangents from the uppest point: 8+8=16

Tangents from the lowest point: 4+4=8

Tangents from the third point:

10-4=6

6+6=12

Perimeter: 16+8+12=36units

Brainliest please~~

Answer:

$34

Step-by-step explanation:

price of the product = $40

coupon = 15% off

discount price = 15% of price of a product

=15/100 * $40

=$600/100

=$6

New price of the product = original price - discount

=$40 - $6

=$34

Answer:

7+x

Step-by-step explanation:

X will be the unknown

Answer:

B

Step-by-step explanation:

Answer: simple random sampling

AKA: B

Step-by-step explanation: guy above me is correct :)

Answer:

D

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then shift left by a units

• If a < 0 then shift right by a units

Here the shift is 2 units to the right

Then

f(x) = x² and g(x) = (x - 2)² → D

Answer:

The total number of ways A, B, C, D, and E can sit together is 5

Step-by-step explanation:

Answer:

0.0475 = 4.75% probability a pizza is delivered for free.

0.2955 = 29.55% probability that more than 2 were delivered for free.

The delivery time should be advertised as 32 minutes.

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the normal distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean 25 minutes and standard deviation 3 minutes.

This means that [tex]\mu = 25, \sigma = 3[/tex]

What is the probability a pizza is delivered for free?

More than 30 minutes, which is 1 subtracted by the p-value of Z when X = 30.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 25}{3}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a p-value of 0.9525

1 - 0.9525 = 0.0475

0.0475 = 4.75% probability a pizza is delivered for free

What is the probability that more than 2 were delivered for free?

Multiple pizzas, so the binomial probability distribution is used.

0.0475 probability a pizza is delivered for free, which means that [tex]p = 0.0475[/tex]

40 pizzas, which means that [tex]n = 40[/tex]

This probability is:

[tex]P(X > 2) = 1 - P(X \leq 2)[/tex]

In which

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{40,0}.(0.0475)^{0}.(0.9525)^{40} = 0.1428[/tex]

[tex]P(X = 1) = C_{40,1}.(0.0475)^{1}.(0.9525)^{39} = 0.2848[/tex]

[tex]P(X = 2) = C_{40,2}.(0.0475)^{2}.(0.9525)^{38} = 0.2769[/tex]

Then

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1428 + 0.2848 + 0.2769 = 0.7045[/tex]

[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.7045 = 0.2955[/tex]

0.2955 = 29.55% probability that more than 2 were delivered for free.

If the company wants to reduce the proportion of pizzas that are delivered free to 1%, what should the delivery time be advertised as?

The 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.327 = \frac{X - 25}{3}[/tex]

[tex]X - 25 = 2.327*3[/tex]

[tex]X = 32[/tex]

The delivery time should be advertised as 32 minutes.

Answer:

Step-by-step explanation:

Let 25% solution is x liters, then 50% solution is (80 - x) liters.

Acid content is going to be same:

So 32 liters of 25% solution and 80 - 32 = 48 liters of 50% solution

Given:

An elevation of - 12 m is higher than an elevation of -17 m.

An elevation of - 17 m is lower than an elevation of -14 m.

To find:

The set of inequalities that correctly expresses these relationships.

Solution:

An elevation of - 12 m is higher than an elevation of -17 m.

We know that, higher than means greater than and it is represented by the inequality ">". So,

[tex]-12>-17[/tex]

An elevation of - 17 m is lower than an elevation of -14 m.

We know that, lower than means less than and it is represented by the inequality "<". So,

[tex]-17<-14[/tex]

Therefore, the required set of inequalities is [tex]-12>-17[/tex] and [tex]-17<-14[/tex].

Note: The inequality signs are not proper in the options.

Answer:

Whe we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here, so the domain is:

x ∈ (-∞, ∞)

Answer:

c

Step-by-step explanation:

Answer: hello the complete question is attached below

answer:

Histogram B is the right histogram

Yes it approximately depict data that have a normal distribution

Step-by-step explanation:

The histogram when plotted is symmetric which means/depicts that the data provided have a normal distribution ( approximately )

A histogram is one of the graphical ways of representing data for easy reading and interpretation.

Answer:

P(r ≥ 15) = 0.9943.

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

625 trials and a probability of a 4.4% success on a single trial.

This means that [tex]n = 625, p = 0.044[/tex]

Mean and standard deviation:

[tex]mu = E(X) = np = 625*0.044 = 27.5[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{625*0.044*0.956} = 5.13[/tex]

P(r ≥ 15)

Using continuity correction, this is [tex]P(r \geq 15 - 0.5) = P(r \geq 14.5)[/tex], which is 1 subtracted by the p-value of Z when X = 14.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14.5 - 27.5}{5.13}[/tex]

[tex]Z = -2.53[/tex]

[tex]Z = -2.53[/tex] has a p-value of 0.0057

1 - 0.0057 = 0.9943

So

P(r ≥ 15) = 0.9943.

Answer:

It's answer is 4x-7^1/2

Answer:

Below in bold.

Step-by-step explanation:

a. SA = 2π r^2 + 2πrh

2πrh = SA - 2π r^2

h = (SA - 2πr^2)/2πr

When π = 3.14 we have

h = (SA - 6.28r^2)/ 6.28r

b. SA = 6.28*1.5^2 + 6.28*1.5* 5

= 61.23 in^2