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2 years ago

3. A local pizza restaurant has two options for birthday parties; the Premium Plan and the

Mathematics

1 answer:

Nitella [24]2 years ago

4 0

Answer:

Most likely C .

Step-by-step explanation:

The premium plan charges 20 dollars per cake. (+ 20) and $5 per child (5x) for pizza.

The premium plan would represent: $5x + 20$

The basic plan would charge $6 per child for pizza.

This would be: $6x$

In a equation when the cost of the premium plan is the same as the basic plan, $20 + 5x = 6x$ would be the best for modeling.

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Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2).

Vlad [161]

it is 4 because i used plato and used the answer key

8 0

2 years ago

Read 2 more answers

Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

Nikolay [14]

Answer:

0.0359

Step-by-step explanation:

Data provided:

mean values of three independent times are 15, 30, and 20 minutes

the standard deviations are 2, 1, and 1.6 minutes

Now,

New Mean = 15 + 30 + 25 = 65

Variance = ( standard deviation )²

Variance = 2² + 1² + 1.6² = 7.56

therefore,

Standard deviation = √variance

Standard deviation = 2.75

Thus,

Z-value = $\frac{\textup{60 - 65}}{\textup{2.75}}$

Z-value = - 1.81

from the Z-table

the Probability of Z ≤ -1.81 = 0.0359

6 0

2 years ago

Someone please help me in this question it is kind of confusing it is a question under pre calculus in first year calculus i wil

masya89 [10]

Neither P, nor A are on the sketch
I guess P is the upper right corner of the rectangle
and A=(0,1)

P belongs to the line going through (1,0) and B(0,y)
but we don't know the y-coordinate of B 

the triangle is right and isosceles, so pythagoras a²+a²=2² ... 2a²=4 ... a²=2 ... a=sqrt2 
now look at the right triangle BOA
his hypotenuse is AB=sqrt2 and the the kathete OA is 1 
so y²+1²=(sqrt2)² ... y²+1=2 ... y²=1.. y=1
so the coordinates of B are (0,1)

the line going through (1,0) and (0,1) is L(x)=-x+1

P belongs to this line, so the coordinates of P are P(x,-x+1) (0<x<1)

b) so if that's P, the height of the rectangle is -x+1 and the width=2x
so its area A(x)=2x*(-x+1)= -2x²+2x

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

5 0

2 years ago

find the balance in the account. $2,400 principal earning 2%, compounded annually, after 7 years $2,736.00 $2,756.85 $307,200.00

Alex17521 [72]

The future worth (F) of the current investment (P) that has an interest (i) that is compounded annually is calculated through,
F = P x (1 + i)^n
where n is the number of compounding period. Substituting the given values,
F = ($2,400) x ( 1+ 0.02)^7 = $2,756.85
Thus, the future worth is approximately $2,756.85. The answer is the second choice.

3 0

2 years ago

According to a study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That

timama [110]

Answer:

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

$X \sim Binom(n=100, p=0.71)$

And the expected value is given by:

$E(X) = np =100*0.71 = 71$

So we expect about 71 tweets with no reaction for this case.

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

$X \sim Binom(n=100, p=0.71)$

And the expected value is given by:

$E(X) = np =100*0.71 = 71$

So we expect about 71 tweets with no reaction for this case.

3 0

2 years ago