Diego’s family spends $87 on 4 tickets to the fair and a $39 dinner.

Answer:

6. Find the product for both sets of polynomials below by multiplying vertically. (4 points: 2 points for each product)

A)

4x^4 - 4x^3 - 16x^2 + 16x

B)

4x^4 - 4x^3 - 16x^2 + 16x

7. Are the two products the same when you multiply them vertically? (1 point)

Yes, the two products are the same when you multiply them.

Making a Decision:

8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)

Emily was right, the products are the same with all three different methods of multiplication.

9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)

I prefer the table method because it is easier to understand what is going on, know where and what to do, and it is nicely and neatly laid out in front of me.

Answer:

27 degrees

Step-by-step explanation:

Answer:

a = 27° ______

Step-by-step explanation:

~~~~~~~~~~

Answer:

Let's solve for x.

x+y+z=8

Step 1: Add -y to both sides.

x+y+z+−y=8+−y

x+z=−y+8

Step 2: Add -z to both sides.

x+z+−z=−y+8+−z

x=−y−z+8

Answer:

x=−y−z+8

The value of the x is 4.

Given that,

Based on the above information, the calculation is as follows:

x + y + z = 8

y + z = 4

So,

x + 4 = 8

x = 8 - 4

= 4

Learn more: brainly.com/question/17429689

Answer:

72

Step-by-step explanation:

4+6+6+2=18

and u added 4 numbers so 18×4=72

Answer:

Hi

Step-by-step explanation:

Answer:

25/16

Step-by-step explanation:

Remember, keep-change-flip

Turn this into a multiplication equation

[tex]\frac{5}{8} * \frac{5}{2}[/tex]

Multiply to get 25/16

Answer:

-11-(-5)= -6

25-(-3)= 28

-7-(-2)= -5

4-15= -11

6-(-9)= 15

Answer:

47.3

Step-by-step explanation:

180-90-42.7=47.3

Answer:

47.3

Step-by-step explanation:

this is a right triangle, which means that Angle O is 90°

90 + 42.7 = 132.7

180 - 132.7 = 47.3

Answer:

A).3222

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are from Latvia, or they are not. We are choosing students without replacement. However, since the sample size is large, we can use the binomial distribution to approximate the hypergeometric 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.

480 students, of which 96 are from Latvia:

This means that [tex]p = \frac{96}{480} = 0.2[/tex]

Sample of 10 students:

This means that [tex]n = 10[/tex]

Probability that the sample contains at least three Latvian students.

Either there are less than three students from Latvia, or there are at least three. The sum of the probabilities of these events is 1. So

[tex]P(X < 3) + P(X \geq 3) = 1[/tex]

We want [tex]P(X \geq 3) = 1 - P(X < 3)[/tex], in which:

[tex]P(X < 3) = 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_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]

[tex]P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684[/tex]

[tex]P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2648 + 0.3020 = 0.6742[/tex]

So

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6742 = 0.3258[/tex]

The closest option is A.

Answer:

5x + 2

Step-by-step explanation:

x2 mean x * 2=2x

2x + 3x +2

5x + 2

Answer:

180 minutes

Step-by-step explanation:

60x3

Answer:

48

Step-by-step explanation:

Fourth day, sixth day, both geysers erupted

4 × 6 × 2 = 48

Answer:

I think you need to find the angle of fde. which b and c look like 45 degree angles.and so does fde, if you know how to solve the problem now, I would do that, because everything there number wise was a VERY rough estimate.

Step-by-step explanation:

Answer:

d = 10mm

r = 5mm

Step-by-step explanation:

the radius is half way across the circle which is given to you so the radius is 5mm. whereas as the diameter is the full way across the circle so it is double the radius so in this case the diameter is 10mm.

Answer:1-3:3

Step-by-step explanation:

Answer:

$20-$8.74= c (total cost of pizza)

Answer:

46

Step-by-step explanation:

To breakeven, the total cost of the company which is the sum of the fixed and variable cost will be equal to the total sales of the company such that the profit/loss is zero.

Let x be the number of screwdriver that must be produced  daily to break even

Then

68 + 1 * x = 2.5 * x

68 + x = 2.5x

collect like terms

68 = 2.5x - x

1.5x = 68

Divide both sides by 1.5

x = 68/1.5

= 45.33

This would be approximated to 46 screws

Answer:

B

Step-by-step explanation:

The graph of a function and its inverse are symmetric with respect with the line y = x.

On each graph you are given, plot the line y = x. If the two functions are symmetric with respect to the line y = x, then the graph does show a function and its inverse.

You will see this is true only for choice B

Answer:

1.2 should be right but no promises

Answer:

hmmhhhhhhhhbmmmmhhhm

Answer:

Fred is 26 and Natalie is 12

Step-by-step explanation:

X= Fred's age

Y= Natalie's age

x+y=38

x+4y=74

Use the first equation and isolate the variable x to one side.

x+y=38

 -y= -y

x=38-y

Now use this equation and subsitute it into the second equation.

(38-y) + 4y = 74

Simplify to find y

38+3y=74

-38     =-38

3y=36

÷3   ÷3

y= 12

Now that we know y, input it into the second equation to find x.

x+12=38

  -12   -12

x= 26

Fred is 26 and Natalie is 12

hope this helps :)

The value of x is 5.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

ΔKLM ≈ ΔKQP

This means,

KL/KQ = KM/KP

(3x - 1) / 7 = 8/4

Cross multiply.

3x - 1 = 2 x 7

3x - 1 = 14

3x = 14 + 1

Divide both sides with 3.

3x = 15

x = 5

Thus,

x is 5.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

Answer:

4

Step-by-step explanation:

0, 1, 3, 4, 4, 6, 6, 8

Cross off each side until you get to the middle

1, 3, 4, 4, 6, 6

3, 4, 4, 6

4, 4

You add the 4 and 4 together

8

then divide by 2

8/2=4

Your answer is 4, hope this helped!!!!

Answer:

The minimum sample size should be of 381.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Without any prior knowledge of the proportion, what should be our minimum sample size

We dont know the population proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size is needed. We have to find n for which [tex]M = 0.05[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.95\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.95*0.5[/tex]

[tex]\sqrt{n} = \frac{1.95*0.5}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.95*0.5}{0.05})^2[/tex]

[tex]n = 380.25[/tex]

Rounding up

The minimum sample size should be of 381.

Answer:

Step-by-step explanation:

There are 4 sides that will be 7cm×2cm

14cm x 4 = 56cm

2 sides which are 2cm × 2cm = 4cm

4cm × 2 = 8cm

56cm + 8cm =

64cm squared

Answer:

81 points

Step-by-step explanation:

8/9 = 72 / x

8 goes into 72, 9 times

9 times 9 is 81

I'm sorry if the explanation doesn't make sense. I hope this helps!