6248 divided by 38 Quotient: Remainder:

Two glasses of milk and 4 snack bars have a total of 76 carbohydrates (carbs), and 4 glasses of milk and 3 snack bars have a tot

galina1969 [7]

Answer:

10 carbs in snack bars

14 carbs in milk

Step-by-step explanation:

Glasses of Milk = m

Snack Bars = s

I am going to make this a system of equations:

2m + 3s = 58

4m + 2s = 76

I am going to simplify one of them for a s:

4m + 2s = 76

2s = 76 - 4m

s = 38 - 2m

I am going to insert this into the other equation:

2m + 3s = 58

2m + 3(38 - 2m) = 58

2m + 114 - 6m = 58

(-4)m + 114 = 58

(-4)m = -56

m = 14 calories

I am going to plug this m into one of the equations (doesn't matter which):

2(14) + 3s = 58

28 + 3s = 58

3s = 30

s = 10

You can plug these values back into each of the equations to make sure they work.

Hope it helps! UvU

4 0

3 years ago

A bank is investigating ways to entice customers to charge more on their credit cards. (Banks earn a fee from the merchant on ea

MAVERICK [17]

Answer:

$CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\$

$CI = (527 - 439) \pm 25.75\\\\CI = 88 \pm 25.75\\\\CI = 88 - 25.75 \:\: and \:\: 88 + 25.75\\\\CI = (62.2 \: ,\: 113.8 )$

The correct answer choice is a. (62.2, 113.8)

Step-by-step explanation:

Of the 500 customers who were told the increase applied to charges above $1000 each month, the average increase in spending was $527 with a standard deviation of $225.

Sample size = n₁ = 500

Sample mean = x₁ = $527

Standard deviation = s₁ = $225

Of the 500 customers who were told the increase applied to charges above $2000 each month, the average increase in spending was $439 with a standard deviation of $189

Sample size = n₂ = 500

Sample mean = x₂ = $439

Standard deviation = s₂ = $189

We are asked to find the 95% confidence interval for the difference between two means.

The given group of answer choices are

a. (62.2, 113.8)

b. (86.2, 120.5)

c. (10.3, 23.8)

d. (55.6, 67.8)

The confidence interval for the difference between two means is given by

$CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\$

Where $\bar{x_{1} }$ and $\bar{x_{2} }$ are the given sample means and margin of error is given by

$MoE = z_{\alpha/2} \cdot \sqrt{\frac{s_{1}^2}{n_1} + \frac{s_{2}^2}{n_2}}$

The z-score corresponding to 95% confidence level is given by

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

From the z-table at α = 0.025 the z-score is 1.96

$MoE = 1.96 \cdot \sqrt{\frac{225^2}{500} + \frac{189^2}{500}}$

$MoE = 1.96 \cdot 13.14$

$MoE = 25.75$

Finally,

$CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\$

$CI = (527 - 439) \pm 25.75\\\\CI = 88 \pm 25.75\\\\CI = 88 - 25.75 \:\: and \:\: 88 + 25.75\\\\CI = (62.2 \: ,\: 113.8 )$

Therefore, the correct answer choice is a. (62.2, 113.8)

How to use z-table?

In the z-table find the probability of 0.025

Note down the value of that row, it would be 1.9.

Note down the value of that column, it would be 0.06.

Add the two numbers together.

The z-score is 1.9 + 0.06 = 1.96

4 0

4 years ago

Need help please answer ASAP!

Dmitrij [34]

Answer:

46. (3) 29

47. (1) y = -4x + 3

48. (3) 3

49. (3) -1/2

50. (4) 25x - 75

Step-by-step explanation:

Question 46

Let red marbles be 2x + 3 and black marbles be x
2x + 3 + x = 42
3x = 39
x = 13
No. of red = 2(13) + 3 = 29 marbles
(3) 29

Question 47

Parallel to a line means the slope is the same
(1) y = -4x + 3

Question 48

For the expression to be undefined, the denominator has to be 0
x - 3 = 0
x = 3
(3) 3

Question 49

Slope = -4 - 1 / 4 + 6
Slope = -5/10
Slope = -1/2
(3) -1/2

Question 50

Total = 25x
Left 3 boxes at home = -3x = -3(25) = -75
(4) 25x - 75

6 0

2 years ago

Question 2A car dealership has several options for purchasing a new car which includes 7 colours, 6 interior styles, 4 wheelscov

Damm [24]

Answer:

2016 possible combinations

Step-by-step explanation:

7 x 6 x 4 x 4 x 3 = 2016

When finding available combinations, you just take all your numbers with the different options and multiply them :)

6 0

3 years ago

State which of the following sets of ordered pairs represent a function.

zalisa [80]

Answer:

Option (D) is correct.

Step-by-step explanation:

A function can be termed as a process from a set of x values to a set of possible y-values where each x-value relates to exactly one y-value.

In other words, a relation can only be a function there is no repetition of x-values. It means a relation can not have duplicated inputs.

Given the sets

Set A: (5,2), (4, 3), (3, 4), (2,5)

Set B: (-1,-6), (0, 2), (1, 2), (3, 6)

Set C: (2, 1), (4, 2), (2, 3), (8,4)

It is clear that sets A and B represent the function because, in these sets, each x-value relates to exactly one y-value. In other words, there are no duplicated inputs.

But, set C has duplicated inputs i.e. x = 2 is repeated twice, and a function can not have a repeated input.

Therefore, we conclude that set A and set B represent a function.

Thus, option (D) is correct.

7 0

3 years ago