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Oxana [17]
3 years ago
15

A plastic bin contains red, yellow, and green key chains. Out of 350 keys, 10% are yellow, of the remaining key chains, 60% are

green. How many red key chains are inside the bin?
Mathematics
1 answer:
Alinara [238K]3 years ago
3 0
Answer: 105

Explanation:

60% + 10% = 70% = yellow and green

30% = red

350/10 = 35 x 3 = 105
You might be interested in
Find four consecutive even integers whose sum is 668
lesya692 [45]

Answer:

x+ x+2+ x+4+ x+6 = 668

4x+12 = 668

4x = 668-12

4x = 658

x = 658/4

x = 164

x+2 = 164+2  

      = 166

x+4 = 164+4

       = 168

x+6 = 164+6

       = 170

Hope it helps u mate.....

5 0
3 years ago
How many solutions does the following system have x+y=3, 2x+2y-5
kap26 [50]

Answer:

Step-by-step explanation:

x + y = 3

2x + 2y = 5

-2x - 2y = -6

2x + 2y = 5

0 not equal to -1

no solution

7 0
3 years ago
Use technology or a z-score table to answer the question.
Alik [6]

Answer:

The second choice: Approximately 65.2\% of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each z entry has two decimal places.

Let \mu represent the mean of a normal distribution of variable X. Let \sigma be the standard deviation of the distribution. The z-score for the observation x would be:

\displaystyle z = \frac{x - \mu}{\sigma}.

In this question,

  • \mu = 240.
  • \sigma = 9.3.

Calculate the z-score for x_1 = 225 and x_2 = 245. Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}.

\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}.

The question is asking for the probability P(225 \le X \le 245) (where X is between two values.) In this case, that's the same as P(-1.61 \le Z \le 0.54).

Keep in mind that the probabilities on many z-table correspond to probability of P(Z \le z) (where Z is no greater than one value.) Therefore, apply the identity P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1) to rewrite P(-1.61 \le Z \le 0.54) as the difference between two probabilities:

P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61).

Look up the z-table for P(Z \le 0.54) and P(Z \le -1.61):

  • P(Z \le 0.54)\approx 0.70540.
  • P(Z \le -1.61) \approx 0.05370.

\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}.

3 0
4 years ago
99 POINTS PLZ ANSWER
attashe74 [19]
I assume you mean 4(3^x) as in this is an exponential function.

The average rate of change is simply the change in y divided by the change in x so:

(4(3^2-3^1))/(2-1)

4(9-3)

4(6)

24

....

(4(3^4-3^3))/(4-3)

4(81-27)

4(54)

216

So the average rate from 3 to 4 is 216 and from 1 to 2 is only 24.

So the average rate of B to A is 216/24=9, is 9 times greater than A.

The average rate of change is not constant as this is an exponential function.
5 0
3 years ago
How do I find his out
Setler [38]
You would divide 1/16 by 3/8
3 0
4 years ago
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