A survey asked respondents whether they prefer grape or orange soda, and whether they prefer soda with sugar or sweetener. The results of the survey are shown in the two-way frequency table. Grape soda Orange soda Sugar 0.36 0.42 Sweetener 0.13 0.09 What percent of the respondents prefer orange soda? Enter your answer in the box. %

Answer:

70°

Step-by-step explanation:

80° - x + 80° = 90° { being complementary angles }

160° - x = 90°

x = 180° - 90°

x = 70°

Hope it will help :)

Answer:

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta= b^{2} - 4ac[/tex]

Quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.

This means that:

[tex]-\frac{b}{2a} = 1.5[/tex]

[tex]y_{v} = -\frac{b^2-4ac}{4a} = 676[/tex]

If the rock hits the ground below the ledge 8 seconds after it is thrown

This means that:

[tex]64a + 8b + c = 0[/tex]

Relation of b and a:

[tex]-\frac{b}{2a} = 1.5[/tex]

This means that:

[tex]b = -3a[/tex]

Relationship of c and a:

[tex]64a + 8b + c = 0[/tex]

[tex]64a - 24a + c = 0[/tex]

[tex]c = -40a[/tex]

Finding a:

[tex]y_{v} = -\frac{(-3a)^2-4a(-40a)}{4a} = 676[/tex]

[tex]9a^2+160a = -2704a[/tex]

[tex]9a^2 + 2864a = 0[/tex]

[tex]a(9a + 2864) = 0[/tex]

Since it is a quadratic equation, a cannot be 0.

[tex]9a + 2864 = 0[/tex]

[tex]9a = -2864[/tex]

[tex]a = -\frac{2864}{9}[/tex]

[tex]a = -318.22[/tex]

Finding b and c:

[tex]b = -3a = -3(-318.22) = 954.67[/tex]

[tex]c = -40a = -40(-318.22) = 12728.89[/tex]

The quadratic equation is given by:

[tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Answer: 24

Step-by-step explanation:

32/4 = 8

3 * 8 = 24

24 + 8 = 32

There are 24 windows in the new wing.

Hope this helped! :)

Answer:

tablet can hold 500000 pages of text .

tablet can hold 1000 books of 500 pages

Answer:

(19x-290)/(4(x+2)(x-6)

Step-by-step explanation:

Apply Fraction Rule:

(41)/(4x+8)-(11)/(2x-12)

Factor:

(41)/4(x+2)-(11)/(2x-12)

Factor:

(41)/4(x+2)-(11)/2(x-6)

LCM:

(41)(x-6)/(4)(x+2)(x-6)-(22(x+2))/(4)(x+2)(x-6)

Expand:

= (19x-200)/4(x+2)(x-6)

Answer:

3x(3xy + 4y^²).

Step-by-step explanation:

Mskqkkqkaak

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that a new carpet is to be put in the bedroom and that the dimensions of the room are 8.74 ft and 10.3 ft.

The area of the room will be the multiplication of the dimensions given. This will be:

= 8.74 × 10.3

= 90.022

= 90ft²

well if

120-74=46

then 46 is the correct answer.

74+46=                    120

46 more students can sign up for the field trip.

Answer:

74 + (x) = 120

Step-by-step explanation:

subtract 74 from 120

120 - 74 = 46

Answer:

i think 4

Step-by-step explanation:

[tex]x^{2} +4x-3[/tex]

Answer:

5,999

Step-by-step explanation:

Answer:

12 pounds of grapes cost $18.00

Step-by-step explanation:

The point, (12, 18) as plotted on the graph indicates that 12 pounds of grapes costs $18.

From the graph, we see that when x (pounds) = 12, y (cost) = 18.00.

Answer:

0.0901 = 9.01% of packages will incur such a charge

Step-by-step explanation:

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When we add normal variables, the mean will be the sum of the means, while the standard deviation is the square root of the sum of the variances.

Centerpieces are normally distributed with mean of 30 ounces and standard deviation of 2 ounces.

This means that [tex]\mu_C = 30, \sigma_C = 2[/tex]

The weights of the shipping boxes are normally distributed with mean of 12 ounces and standard deviation of 1 ounce.

This means that [tex]\mu_S = 12, \sigma_S = 1[/tex]

Suppose that centerpieces are chosen at random and packed into randomly chosen shipping boxes.

The shipment is given by the centerpice plus the shipping box. So the mean and the standard deviation of the weight are given by:

[tex]\mu = \mu_C + \mu_S = 30 + 12 = 42[/tex]

[tex]\sigma = \sqrt{\sigma_C^2 + \sigma_S^2} = \sqrt{2^2 + 1^2} = \sqrt{5} = 2.236[/tex]

If a package exceeds 45 ounces, an additional charge is incurred. What is the proportion of packages will incur such a charge

This proportion is 1 subtracted by the pvalue of Z when X = 45. So

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

[tex]Z = \frac{45 - 42}{2.236}[/tex]

[tex]Z = 1.34[/tex]

[tex]Z = 1.34[/tex] has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% of packages will incur such a charge

Answer:

Linear positive association

Answer:

The Answer Is 125.

Step-by-step explanation:

As, 18 More Than K Means

18 More Than 7

So, It's 25

Then Evaluate 25 With 5

It's 25(5)

Or 25 × 5

It's 125.

Answer:

m∡A = 100°

m∡B = 50°

m∡C = 30°

Step-by-step explanation:

let 'x' = m∡B;  50°

let '2x' = m∡A;   100°

let 'x-20' = m∡C;   30°

x + 2x + x - 20 = 180

4x - 20 = 180

4x = 200

x = 50

Answer:

0.125, 0.55, 0.6, 0.8, 0.875

Answer:

26

Step-by-step explanation:

30-4=26

thirty minus four equal 26

Answer:

* Ratios are proportional if they represent the same relationship.

*If the reduced fractions are the same, your ratios are proportional.

*If two ratios are proportional is to write them as fractions and then reduce them.

Hope its helpful

Thank you

Answer:

C. MSRP

Step-by-step explanation:

Commonly called the sticker price because it’s the bottom line figure in a cars window sticker, is the base price plus any options

There are different kinds of terms. Another name that can be used for the cost above is Sticker Price.

The sticker price is also known or called the total MSRP. It is often said to be sticker price due to the fact that it is the conclusive ( bottom line ) figure found on a car's window sticker.

Tis also known as the base price with the addition of any other options, option-package discounts, etc. A person can purchase a vehicle for less than the amount of the sticker price.

Learn more about Sticker Price from

https://brainly.com/question/11947230

Answer:

Continuous data

Step-by-step explanation:

Given

[tex]d = 45t[/tex]

Required

Discrete or Continuous?

From the question, we understand that t represents time in hours. This is a continuous data.

When multiplied by 45 to give distance, the resulting data is also continuous.

Hence, [tex]d = 45t[/tex] is continuous

Answer:

d = 2.5t, continuous

Step-by-step explanation:

Just did it on Edge and got it right

Answer:

2.08

Step-by-step explanation:

Answer:

2.0833333333333

Step-by-step explanation:

use calculator

Answer:

Make sure to click on the png file the steps and answer are there!

Answer:

no

Step-by-step explanation:

5/8=0.6250 so its rational

Answer: no

Step-by-step explanation: 5/8 is rational because it is another way of writing the ratio 5:8. So no, 5/8 is not an irrational number.

Answer: x=7

Step-by-step explanation:

Answer:

3000

6000

9000

Step-by-step explanation:

18000/6=3

A=1(3000)=3000

B=2(3000)=6000

C=3(3000)=9000

Answer:

720%

Step-by-step explanation:

Answer:

720 %

Step-by-step explanation:

Method 1

If 1 is equal to 100 percent, then 7 would be 700 percent. 1/5 is equal to 20 percent. If you add 700 % and 20 % you will get 720 %

Method 2

7 1/5 is equal to  

7/1 × 5/5 + 1/ 5 = 35/5 + 1/5 = 36/5

We know that 36/5 is the same as 36 ÷ 5

36 divided by 5 gives us 7.2

Convert the decimal to a percent:

7.2 × 100 = 720%

Hope this helps :)

PS. PLZZZZZZZ GIVE ME BRAINLIEST!!!!

Answer:

primero divides 600 entre 6 te da 100

entonces cada mesa vale 100 pesos así que

100x1:100 así que a juan le tocan 100 pesos

100x2:200 así que Alberto le tocan 200 pesos

100x3:300 así que a Luis le tocan 300 pesos

Answer:

107%p

not much explanation needed here, just conversion of units.

Answer:

20,7,13. are the most correct for a triangular shape