Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are ambrase, 30% are butonic, 15% are colana, and 35% are dynamite. a party guest randomly chooses four cans of soda. calculate the probability that the guest chooses one of each type of soda.

Answer:

6 days

Step-by-step explanation:

Relation :

6 tractors took 10 days. Now, we have 10 tractors. This means the number of tractors has increased by 10/6 = 5/3. Therefore, the number of days will become 3/5 of the original time.

Solving :

Answer:

2,265.60 ft/hr

Step-by-step explanation:

168ft/6min = 28ft/min * 60min= 1,680ft/hr

472ft/12.5min= 37.76ft/min * 60min= 2,265.60ft/hr

The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.

If the object travelled D distance in T units of time, then that object's speed is

[tex]Speed = \dfrac{D}{T}[/tex]

Given that:

Suppose at time 0 hours, all three people departed from school (on that Monday).

After 't' hours, suppose the cycle gets punctured.

Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),

then we get:

[tex]S =\dfrac{D}{T}[/tex]

[tex]20=\dfrac{d}{t}[/tex]

d = 20t

This distance is measured from school. But we know that this distance is 4 km, so we get:

20t = 4

t  =  1 / 4

The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:

5 =  1 / T

t = 0.2 hours

So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours

Reeta is walking that whole 5 km.

The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.

Thus, we have:

Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:

D = S x T

D = 5 x 0.4 = 2 km

So Reeta was 2 km away from school when cyclists reached home on that Monday.

Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km

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14 and 15

which number multiplies to 14 and add up to 15.

[tex]1 + 14 = 15[/tex]

[tex]1 \times 14 = 14[/tex]

[tex] = 1[/tex]

therefore, the number which multiplies to 14 and add up to 15 is 1

= 1

because,

14×1 = 14

14+1= 15

Answer:

-2 and -3

Step-by-step explanation:

Answer:

answer in picture

Step-by-step explanation:

Answer:

$15.86

Step-by-step explanation:

See attachment for the graph of g(x) = 1/2x^2

The equation of the function is:

g(x) = 1/2x^2

The above function is a quadratic function that has only one term

Next, we plot  the graph using a graphing tool

See attachment for the graph of g(x)

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The expression that shows the granola bars Todd bought is 12g.

The algebraic expression stands for the mixture of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.

Given: Todd bought g boxes of granola bars.

There are 12 granola bars in each box.

Let g be the boxes of granola bars.

Therefore, the expression that shows the granola bars Todd bought is 12g.

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Answer:

-5

Step-by-step explanation:

3 - 9 + 1 = -6 + 1 = -5

Hope this helped! I would appreciate a Brainliest!

(BTW, if you can, can you please answer my question? It's due today!)

Answer:

B

Step-by-step explanation:

from right angle triangle we know

(greater side)=√one side^2+remaining side^2

130=√78^2+104^2

130=130

hence b is correct

The equation here can be described to be a circle.

We have the following equations

x = 5cos(t) - 7, and

y = 5sin(t) + 9

When rearranged we have

x + 7 = 5cos(t),

y - 9 = 5sin(t)

Square both equations

(x + 7)² = 25cos²(t), and

(y - 9)² = 25sin²(t)

Sum the equations

(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)

(x + 7)² + (y - 9)² = 25

(x + 7)² + (y - 9)² = 5²

The equation above is that of a circle. The radius is 5 units. The center is (-7,9)

The formula for the equation of a circle is

(x -a)² + (y - b)² = R², this is similar to (x + 7)² + (y - 9)² = 5²

The equation can be described as a circle.

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Answer: cirlce

Step-by-step explanation:

did it

Answer:The answer is A: b^4/a

Step-by-step explanation:now i dont rly have an explaination but i got this in my test so ik its right!

100% verrified!

Answer:

Part 1: See below ↓↓

You have two given data available here: the actual height of the Empire State Building measuring 1,450 feet, and the height of the block measuring 2 feet. To find how many blocks stacked together would make up 1,450 feet, just divide 1,450 by 2.

Number of blocks=1,450 feet * (1 block/2 feet)

Number of blocks = 725 blocks

Part 2 (kinda work)

What I did was I divided 1,450 by 5 and I got 290 so you would have to use 290 blocks to build the Empire State building out of blocks. The scale factor is 1 block per 5ft

Step-by-step explanation:

Answer:

v=13117.69 m3

Step-by-step explanation:

Hope this helps.

Answer:

The answer is 803.84

Step-by-step explanation:

Carry on learning i hope this helps..

Answer:

There is a slight difference but the result is the same.

In the notation ddx(y) the ddx part is an operator which says ‘the function which is the differential with respect to x of ⋯’ and y is the function being operated on. The ddx and y are two separate entities in this notation.

In the notation dydx we mean the function that is the result of differentiating the function y with respect to x. In this case, there is only a single entity: dydx.

Both notations mean ‘the function which is the differential of function y by x

An associate in a scatter plot tells us the relation between the two variables. The points that are true about the given scatter plot are F and C.

An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:

Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.

Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.

Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line.

Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.

The points that are true about the given scatter plot are:

F.) A cluster appears to be at the bottom left corner.

C.) There appears to be a positive association.

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Answer:

yes

Step-by-step explanation:

yes they are i can see this because, 4/8 is the same as 1/2.

I know this because if you reduce 4/8, you will get 1/2.

Answer:

Craig must be rich LOL cuz It says its 1/20 of his paycheck each month so u have to multiply by 20

Step-by-step explanation:

720*20 = 14440

The information about the mean and median shows that the females have more number of haircuts than the males.

It should be noted that a mean simply means the average of a set of numbers that are given in a data.

In this case, the information about the mean and median shows that the females have more number of haircuts than the males.

This is depicted since the mean of females is 52.53 and the mean of males is 20.13.

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Answer: 43

Step-by-step explanation: subsitute -2 into x

4(-2)^2 - 7(-2) + 13 = 43

Answer: 3 [tex]\frac{1}{3}[/tex] liters

Step-by-step explanation:

     We will set up a proportion to help us solve.

[tex]\displaystyle \frac{10 \text{ liters of fruit juice}}{x\text{ liters of lemon soda}} =\frac{3 \text{ liters of fruit juice}}{1\text{ liters of lemon soda}}[/tex]

    Now we will cross multiply.

10 = 3x

    Lastly, we will divide both sides by 3.

3 [tex]\frac{1}{3}[/tex] = x

       She will need 3 [tex]\frac{1}{3}[/tex] liters of lemon soda.

Answer:

“teenager protagonists confronting horror”

Step-by-step explanation:

Marney herself said that she wrote the story specifically about “teenager protagonists confronting horror” for a teenage audience to give them “comfort” and impart a powerful message: “you are strong enough to deal with this. You have been in far worse situations and survived.

Answer:

I love sleep

Step-by-step explanation:

Answer:

The number of years the fixed interest rate will be applied to the loan

Step-by-step explanation:

I just guessed the answer was (The number of years the fixed interest rate will be applied to the loan)

Answer:

$2,142

Step-by-step explanation:

7% of 18,600 is 1,302

Add this to 840 and you get a total of $2,142

Commission is $1,302

Gross pay is $840

Answer:

[tex]CI=\{-0.2941,-0.0337\}[/tex]

Step-by-step explanation:

Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}[/tex] where [tex]\hat{p}_1[/tex] and [tex]n_1[/tex] are the sample proportion and sample size of the first sample, and [tex]\hat{p}_2[/tex] and [tex]n_2[/tex] are the sample proportion and sample size of the second sample.

We see that [tex]\hat{p}_1=\frac{87}{249}\approx0.3494[/tex] and [tex]\hat{p}_2=\frac{58}{113}\approx0.5133[/tex]. We also know that a 98% confidence level corresponds to a critical value of [tex]z^*=2.33[/tex], so we can plug these values into the formula to get our desired confidence interval:

[tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\\\CI=\biggr(\frac{87}{249}-\frac{58}{113}\biggr)\pm 2.33\sqrt{\frac{\frac{87}{249}(1-\frac{87}{249})}{249}+\frac{\frac{58}{113}(1-\frac{58}{113})}{113}}\\\\CI=\{-0.2941,-0.0337\}[/tex]

Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}

The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.

The amount of time that she is expected to stay in the system is; 7.5 Minutes

We are given;

The average number of arrivals of customers, λ = 12 students/hour.

The average service rate of a single server; μ = 20 students/hour.

The average of an exponential distribution is given by the formula:

E(X) = 1/μ

However, the amount of time that she is expected to stay in the system is;

t = 1/(μ - λ)

t = 1/(20 - 12)

t = 0.125 hours

Converting to minutes gives;

t = 0.125 * 60

t = 7.5 minutes

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Answer:

x = 77

Step-by-step explanation:

x and 103 are same- side exterior angles and sum to 180°

x + 103 = 180 ( subtract 77 from both sides )

x = 77