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scoray [572]
3 years ago
12

A new shoe comes in three colors: tan, navy, or black. It also comes in full sizes 4 to 11. If a pair of shoes is chosen at rand

om from a display of all the possible colors and sizes, what is the probability it will be a black size 9​
Mathematics
1 answer:
Bess [88]3 years ago
5 0
Three colors * 8 possible sizes = 24 different shoes

The probability that the shoe is going to be a size 9 black shoe is 1/24.
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Multiply<br> 6 2/3 * 3 6/7
hodyreva [135]

Answer:

180/7 or 25 5/7

Step-by-step explanation:

20/3 * 27/7

cross multiply 3 and 27, 20/1 * 9/7 is left. Then, cannot simplify anymore.

So the answer come out.

180/7 or 25 5/7

5 0
3 years ago
Which number would be classified as an integer on the Venn diagram?
victus00 [196]

Integers involve with negative, so D isn't the correct answer the correct answer will be A.

7 0
3 years ago
a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l
GrogVix [38]

Answer:

\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}

Step-by-step explanation:

The equation of a line:

y=mx+b

We have

m=\dfrac{2}{3}

substitute:

y=\dfrac{2}{3}x+b

The formula of a distance between a point and a line:

General form of a line:

Ax+By+C=0

Point:

(x_0,\ y_0)

Distance:

d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}

Convert the equation:

y=\dfrac{2}{3}x+b     |<em>subtract y from both sides</em>

\dfrac{2}{3}x-y+b=0    |<em>multiply both sides by 3</em>

2x-3y+3b=0\to A=2,\ B=-3,\ C=3b

Coordinates of the point:

(0,\ 0)\to x_0=0,\ y_0=0

substitute:

d=4

4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}

4=\dfrac{|3b|}{\sqrt{13}}\qquad|    |<em>multiply both sides by \sqrt{13}</em>

4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}   |<em>divide both  sides by 3</em>

b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}

Finally:

y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}

4 0
3 years ago
If the subject without diabetes eats a high-carb food such as the candy bar or orange smoothie, then the blood glucose levels wi
zysi [14]

Answer:

1. The right answer is stay the same.

In a healthy subject, a diet rich in sugar (such as starch and fast sugars) increases blood sugar in the first two hours after ingestion and then stabilizes after the third hour with the action of the patient. insulin which has a hypoglycemic action. But over time the pancreas (the organ that secretes insulin) will get tired over time if these foods are eaten excessively.

2. The right answer is stay the same.

In a healthy person, a diet of low-sugar foods (such as fiber) does not increase blood glucose (or very little) and helps maintain normal blood glucose levels. These foods are good for the health because they preserve the pancreas as long as there is not much solicitude by the presence of a hause of glucose in the blood.

3. The right answer is increase.

In a type 1 diabetic patient, the pancreas does not secrete insulin appropriately, and this is due to self-destruction of the organ by the immune system (autoimmune disease). This implies that during the ingestion of foods rich in sugars, the blood sugar will be hard to regain its normal level, that is why it remains elevated after three hours after ingestion.

4. The right answer is stay the same.

Foods low in carbohydrates are very good for the health and is recommended in the subjects diabetic (type 1 and 2) and even for the healthy subjects to avoid the appearance of the diabetes afterwards. These foods help diabetics to have controlled blood glucose levels when their degradation does not give glucose.

6 0
3 years ago
4/-7 + -6/5 <br><br>In simplest form​
nlexa [21]

See attachment for math work and answer.

6 0
3 years ago
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