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3 years ago

Write –0.825 as a fraction.

Mathematics

1 answer:

olga2289 [7]3 years ago

8 0

Answer:

OK 825/1000 That is the answer.

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5. A store sells bags of pecans for $3.00, bags of walnuts for $3.50, and bags of almonds for $4.00. One day, 15

kondaur [170]

Answer:

x = 4

y = 6

z = 5

Step-by-step explanation:

Let

bags of pecans = x

bags of walnuts = y

bags of almonds = z

x + y + z = 15

3x + 3.5y + 4z = 53

Two more bags of walnuts were sold than pecans.

Walnuts = x + 2

x + y + z = 15

3x + 3.5y + 4z = 53

x + x + 2 + z = 15

3x + 3.5(x+2) + 4z = 53

2x + z = 15 - 2

3x + 3.5x + 7 + 4z = 53

2x + z = 13 (1)

6.5x + 4z = 46 (2)

Multiply (1) by 4

8x + 4z = 52 (3)

6.5x + 4z = 46 (2)

Subtract (2) from (3)

8x - 6.5x = 52 - 46

1.5x = 6

Divide both sides by 1.5

x = 4 bags

y = x + 2

= 4 + 2

= 6

y = 6 bags

Substitute the value of x into (1)

2x + z = 13 (1)

2(4) + z = 13

8 + z = 13

z = 13 - 8

= 5

z = 5 bags

Check:

x + y + z = 15

4 + 6 + 5 = 15

5 0

3 years ago

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor

Tju [1.3M]

Answer:

Option 3) The expected Exam 3 score for someone that made a 0 on Exam 1 is a 50.57.

Step-by-step explanation:

We are given the following in the question:

$\hat{y}(x) = 50.57+0.4845x$

The above equation is a linear regression equation to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

$\hat{y}$ : The dependent variable, Exam 3 score

x: The independent variable, Exam 1 score

Comparing to general linear equation,

$y = mx + c$

We get,

m = 0.4845, c = 50.57

where

c is the y - intercept and the score in exam 3 when exam score is 0.

$\hat{y}(0) = 50.57+0.4845(0)\\\hat{y}(0) = 50.57$

m is the slope and tells us about the rate of change.

When exam 1 grade is increased by 1, we can write,

$\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1)-\hat{y}(x) = 50.57+0.4845(x+1)-( 50.57+0.4845x)\\\hat{y}(x+1)-\hat{y}(x) = 0.4845(x+1-x)\\\hat{y}(x+1)-\hat{y}(x) = 0.4845$

Thus, the y-intercept for the given equation can be interpreted as

Option 3) The expected Exam 3 score for someone that made a 0 on Exam 1 is a 50.57.

6 0

3 years ago

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Movie Night tickets at the Strand cost $9 for adults and $7 for the students. The box office received 2,025 in adults ticket sal

Oksana_A [137]

Answer:

Adults= $9-------$2025

Students=$7----$1904

Adults= 2025/9= 225

Students= 1904/7= 272

Total tickets= 225+272 =497

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3 years ago

If a fish tank that is a rectangular prism is 20 inches long 10 inches wide and 12 inches tall how much water can fit in the tan

Dvinal [7]

2400 inches cubed
10x 12x 20

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3 years ago

Donald sells 760 marbles everyday. He sells each marble for 1.5 dollars.

liberstina [14]

the answer should be three days

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