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3 years ago

Solve the inequality:

Mathematics

1 answer:

Allushta [10]3 years ago

3 0

Answer:

x ≤ 1

Step-by-step explanation:

8 + 4x $\geq$ 12

4x $\geq$ 12 - 8

4x ≥ 4

Dividing both sides by 4 gives;

x ≤ 1

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3 = −2∣ 1 — 4 s − 5 ∣ + 3

artcher [175]

Answer:

s=1

Step-by-step explanation:

3=-2(1-4s-5)+3

3=-2+8s+10+3

3=8s+11

3-11=8s

8=8s

8/8=s

s=1

hope it helps you!!

3 0

3 years ago

In a jar, there is a green, a blue, and a red marble. You draw (with replacement) a marble from the jar until you get the green

denpristay [2]

Answer:

The value is $P( X = m ) = (\frac{2}{3} )^{m-1 } * \frac{1}{3}$

Step-by-step explanation:

From question we are told that

The number of types of marbles present jar is n = 3

Generally the probability of drawing a green marble is

$P(g) = \frac{1}{3}$

Generally the probability of drawing a marble that is not green is

$P(g') = 1 - \frac{1}{3} = \frac{2}{3}$

From the question we are told that there will be continuous drawing of marbles from the jar (in such a way that after each marble is drawn it is being replaced) until a green marble drawn

Let m be the number of times marbles has been drawn when a green marble was gotten

it then means that for m - 1 times the marbles where drawn a green marble was not obtain.

Generally the probability drawing m times is mathematically is mathematically represented as

$P( X = m ) = (P(g'))^{m-1 } * P(g)$

=> $P( X = m ) = (\frac{2}{3} )^{m-1 } * \frac{1}{3}$

7 0

3 years ago

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand co

tester [92]

First brand = A, second brand = B.

A + B = 249ml
9% A + 14% B = 13% 249ml

B = 249ml - A
9% A + 14% (249ml - A) = 13% 249ml

9A + 14 (249ml - A) = 13 * 249ml
9A + 3486ml - 14A = 3237ml
5A = 249ml
A = 49,8ml
B = 249ml - A = 199,2ml

Answer: He should use 49,8ml of first brand and 199,2ml of second brand.

Also note: That's an approximation, because the volumes are not strictly additive. For example: mixing 50ml pure ethanol with 50ml water will give you about 95ml of mixture. To get an accurate answer, you'd have to measure the volume of the final mixture and then divide your total alcohol content by that.

8 0

3 years ago

Write the equation of a line that is perpendicular to y=0.3x+6 and that passes through the point (3,-8)

Harman [31]

First, find the perpendicular slope

y = 0.3x + 6 ⇒ m = 0.3 = $\frac{3}{10}$