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natta225 [31]
3 years ago
15

18.

Mathematics
1 answer:
skad [1K]3 years ago
6 0

9514 1404 393

Answer:

  a) 10(3x+2) ≤ 140; x ≤ 4

  b) no

Step-by-step explanation:

a) The area is the product of length and width. We want that product to be no greater than 140:

  10(3x +2) ≤ 140 . . . . your inequality

We can solve this by dividing by 10 first.

  3x +2 ≤ 14

  3x ≤ 12 . . . . . . subtract 2

  x ≤ 4 . . . . . . . . divide by 3; the solution to the inequality

__

b) If the length were 15, the area would be 10×15 = 150, which is greater than 140. The length cannot be 15 if the area is at most 140.

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According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o
igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

               \frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } ~ N(0,1)

where, p = 0.20 and n = 100

Let \hat p = proportion of red candies in our sample

So, P(\hat p < 0.20) = P(\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } < \frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } } ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

5 0
3 years ago
I dont get it plzzz help me
cricket20 [7]

Given Equation: \frac{1}{3}h-4(\frac{2}{3}h-3)=\frac{2}{3}h-6

Let us remove parenthesis first.

In order to remove parenthesis, we need to distribute -4 over parenthesis (2/3 h -3).

Distributing -4 over (2/3 h -3), we get,

-4*2/3 h - 4*-3 = -8/3 h + 12.

Substituting this value in original equation, we get

\frac{1}{3}h-\frac{8}{3}h+12 =\frac{2}{3}h-6

Now, in order to make the equation easy to solve, we always remove fractions. In order to remove fraction, we need to find the lowest common denominator of all terms(lcd).

The fraction terms has 3 in denominators, so we could multiply each and every term by 3 to remove 3's from denominators.

Multiplying each equation by 3, we get,

3*\frac{1}{3}h-3*\frac{8}{3}h+3*12 =3*\frac{2}{3}h-3*6

On simplfying this step, we get

1h -8h+36=2h-18

Combining like terms on left side, we get

-7h +36 = 2h -18.

Subtracting 36 from both sides, we get

-7h +36 -36= 2h -18-36.

-7h=2h-54

Subtracting 2h from both sides, we get

-7h-2h=2h-54-2h

-9h = -54

Dividing both sides by -9.

-9h/-9 = -54/-9

h = 6.

Therefore, final answer is h=6.


5 0
3 years ago
A ski jumper begins a run from the top of a ramp that is
pickupchik [31]

Answer:

17.5m

Step-by-step explanation:

958.2 minus 23.9= 934.3

934.3 minus 951.8= - 17.5

the negative doesnt matter so you can take that away so the answer is 17.5

3 0
3 years ago
Read 2 more answers
What is the measure in degrees of an angle that is supplementary to a 74° angle?
neonofarm [45]

Answer:

  106°

Step-by-step explanation:

Supplementary angles total 180°, so the one supplementary to 74° is ...

  180° -74° = 106°

8 0
3 years ago
Plz help me math doesnt like me
marin [14]

Answer:

hello

Step-by-step explanation:

i think diameter is 13 cm

but radius is equal to 13/2=6,5cm

hope it helps

have a nice day

bye

8 0
3 years ago
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