Which of the following algebraic expressions represents the statement given below?

What fraction is equivalent to 1/3<br><br> 3/6, 4/6,2/6,1/6

Ghella [55]

The fraction equivalent is 1/3 = 2/6 because when u simplify 2/6 =1/3

3 0

3 years ago

What is the slope of a line that passes through the points (-5,-3) and (9,-6)

kipiarov [429]

To find the slope given two points, you need to subtract the two y values over the two x values
(-5,-3) (9,-6)
-5 will be x1, and -3 will be y1. 9 will be x2, and -6 will be y2. You then need to put the numbers in the correct place in the equation.
y2-y1 -6-(-3) -9
-------- = -------- = ----
x2-x1 9-(-5) 14
Now that we have the slope (-9/14) you can use one of the coordinates to find the value of b.
Let's use (9,-6).
-6=-9/14(9)+b
-6=-81/14+b
+81/14
b=-3/14
Your final equation is y=-9/15x-3/14

7 0

3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?

OverLord2011 [107]

Question that needs to be solved:You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?=> 4 gallons is to 30 plants.=> 4 gallons / 30 plants = 0.13 gallons per plants.Now, it needs to water around 45 plants, let us solve how much will it need => 0.13 gallons * 45 plants = 6 gallons<span>Thus, to water 45 plants you need to have 6 gallons of water</span>

5 0

3 years ago

Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of

Anastaziya [24]

Answer:

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.Step-by-step explanation:

Statement: Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of ingredients. Based on your knowledge, what this indicates?

For this question we assume the following options. We analyze each one in order to select the correct one.

1) The bread is rich in multi-grains.

We don't know if that's correct since we don't know the percentages of each indredient, and we can't ensure that we have a bread rich in multi grains.

2) The bread does not contain any multi-grains.

That's False, since the problem states that at the end of the list of ingredients Jane read the list of grains.

3) This is a multi-grains rich bread.

Again like the option 1 we don't know if the bread present a multi grain composition since the statement don't provide any info to suggest this.

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.

7 0

3 years ago