What type of angle is this

Jocelyn and Madelyn go to the movie theater and purchase refreshments for their friends.

Alik [6]

let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:

2p + 3d = 18.25

4p + 2d = 27.50

From this, we can use substitution or elimination to solve:

For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.

For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.

I'll be using elimination in this case:

-2(2p + 3d = 18.25) --> -4p - 6d = -36.50

-4p - 6d = -36.50

4p + 2d = 27.50

-4d = -9.00

d = 2.25

4p + 2 * 2.25 = 27.50

4p + 4.50 = 27.50

4p = 23.00

p = 5.75

Now let's check our answer:

2 * 5.75 + 3 * 2.25 = 18.25

11.50 + 6.75 = 18.25

18.25 = 18.25

So drinks cost $2.25 and popcorn $5.75

7 0

3 years ago

Viviana had 4 and 1/5 pounds of sugar. She used 1/3 of the sugar she had. How much sugar did she use? Select all that apply

hram777 [196]

Answer:

11.339809 c

To convert a pound measurement to a cup measurement, multiply the sugar by the conversion ratio.

Since one pound of sugar is equal to 2.267962 cups, you can use this simple formula to convert:

cups = pounds × 2.267962

The sugar in cups is equal to the pounds multiplied by 2.267962.

For example, here's how to convert 5 pounds to cups using the formula above.

5 lb = (5 × 2.267962) = 11.339809 c

While experts usually suggest measuring dry ingredients by weight since it's more accurate, some recipes call for ingredients by volume and many of us don't have a scale when we need one. Because of the density of different types of sugar varies, it may not be obvious how to convert between a weight and volume measurements.

This table shows the approximate volume measurement for various weights of sugar, by type to help with the conversion.

Sugar Weight to Volume Conversion Table

Pound measurements and equivalent cups measurements for various types of sugar.

Should I Measure Sugar by Weight or Volume?

Many experts are adamant that dry ingredients like sugar should be measured by weight instead of volume, especially when used for baking.

Step-by-step explanation:

To convert a pound measurement to a cup measurement, multiply the sugar by the conversion ratio.

Since one pound of sugar is equal to 2.267962 cups, you can use this simple formula to convert:

cups = pounds × 2.267962

The sugar in cups is equal to the pounds multiplied by 2.267962.

For example, here's how to convert 5 pounds to cups using the formula above.

5 lb = (5 × 2.267962) = 11.339809 c

While experts usually suggest measuring dry ingredients by weight since it's more accurate, some recipes call for ingredients by volume and many of us don't have a scale when we need one. Because of the density of different types of sugar varies, it may not be obvious how to convert between a weight and volume measurements.

This table shows the approximate volume measurement for various weights of sugar, by type to help with the conversion.

Sugar Weight to Volume Conversion Table

Pound measurements and equivalent cups measurements for various types of sugar.

Should I Measure Sugar by Weight or Volume?

Many experts are adamant that dry ingredients like sugar should be measured by weight instead of volume, especially when used for baking.

<h2>Welcome for the answer. This answer is only for</h2><h2>good intentions please only report if necessary. Have a great rest of your day! </h2>

6 0

3 years ago

Assume the random variable X is normally distributed with meanmu equals 50μ=50and standard deviationsigma equals 7σ=7.Compute th

nekit [7.7K]

Answer:

$P(35$

And we can find this probability with the following difference and using the normal standard table or excel we have:

$P(-2.143$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(50,7)$