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djverab [1.8K]
1 year ago
14

Ellen said she spent half her money for lunch and half of what was left for a movie. She now has $1.20. How much did she spend f

or lunch?
Devise a plan

Carry out the plan

Look back (is it reasonable? Did we answer the question?)
Mathematics
1 answer:
goldenfox [79]1 year ago
8 0

Answer: She spend $1.20 for lunch.

Step-by-step explanation:

Let the total amount be 'x'.

Half of her money spend for lunch be \dfrac{x}{2}

Half of her money left for a movie be \dfrac{x}{2}

Amount she has now = $1.20

So, According to question, it becomes ,

\dfrac{x}{2}=1.20\\\\x=1.20\times 2\\\\x=\$2.40

Hence, Amount she spend for lunch is \dfrac{x}{2}=\dfrac{2.40}{2}=\$1.20

Therefore, she spend $1.20 for lunch.

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during the summer winnie delivers flowers and bob babysits for neighbors to show their earnings winnie makes a table which state
miv72 [106K]
  1. Winnie earns $12.30 and Bob earns $24.30.
  2. Bob earns $8.10 and earns$4.10
  3. Winnie earns$12.15 and Bob earns $6.15
  4. Winnie earns $4.05 and Bob earns $2.05

7 0
2 years ago
Read 2 more answers
The volume of wine in liters produced by a parcel of vineyard every year is modeled by a Gaussian distribution with an average o
saul85 [17]

Answer:

0.99865

Step-by-step explanation:

The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.

To solve the above question, we would be using the z score formula

The formula for calculating a z-score

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

In the above question,

x is 115 liters

μ is 100

σ is the population standard deviation is unknown. But we were given variance in the question.

Standard deviation = √Variance

Variance = 9

Hence, Standard deviation = √9 = 3

We go ahead to calculate our z score

z = (x-μ)/σ

z = (115 - 100) / 3

z = 15/ 3

z score = 5

Using the z score table of normal distribution to find the Probability of having a z score of 5

P(x = 115) = P(z = 5) =

0.99865

Therefore the probability that this year it will produce 115 liters of wine = 0.99865

6 0
2 years ago
A computer randomly selects a letter from the alphabet.
Nikolay [14]

1) 26 different outcomes are in the sample space.

2) 1 / 26 is the probability that the computer produces the first letter of your first name.

<u>Step-by-step explanation:</u>

<u>1) You have to find out the different outcomes in the sample space :</u>

  • A "Sample space" is defined as the set of all the possible outcomes of an event.
  • Here, the given event is randomly selecting a letter from the alphabets.

Therefore, the sample space must contain all the possible alphabets that can  be chosen randomly.

The sample space is the set of all the 26 alphabets in English language.

⇒ Sample space = {A,B,C,D...........,Y,Z}

⇒ 26 different outcomes.

<u>2) The probability the computer produces the first letter of your first name :</u>

Here, the required outcome is getting the first letter of your first name.

Probability = No. of required outcomes / total no. of outcomes.

For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.

∴ Probability = 1 / 26

Similarly, for any first name there is going to be any one alphabet from the 26 alphabets, thus the probability to get the first letter will be always 1 / 26.

7 0
2 years ago
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. Call t
makvit [3.9K]

Answer:

The solve of that problem is that Hernry invested $18.000 in stocks and $6.000 in bonds.

Step-by-step explanation:

First, to explain you have to do a multiplication about 6 on three. Like three times more than bonds, the result is 18. Then you have to do a  subtraction on $24.000 less $18.000, and the result is $6.000, so six is the amount on bonds. And is three times less than stocks, like the questions ask.

4 0
2 years ago
Read 3 more answers
Select the correct answer from each drop-down menu. Polygon ABCD goes through a sequence of rigid transformations to form polygo
Viktor [21]

Answer:

The sequence of transformations involved is a reflection across the x axis, followed by a reflection across the y = x line

Step-by-step explanation:

The polygon ABCD is shown in the image attached. The coordinates of the polygon are A(-6, 6), B(-4, 6), C(-4, 4), D(-6, 2), while the polygon A'B'C'D' is at A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)

A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.

If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y).

If a point O(x, y) is reflected across the y = x line, the new coordinate is O'(y, x)

Hence if polygon ABCD is reflected across the x axis, the new coordinates are A*(-6, -6), B*(-4, -6), C*(-4, -4), D*(-6, -2). If a reflection across the y = x line, the new coordinates are A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)

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1 year ago
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