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Fynjy0 [20]
3 years ago
8

Your drawer has 5 pairs of black socks, 4 pairs of gray socks, 2 pairs of white socks, 1 pair of brown socks, and 1 pair of blue

socks. the lights are out, and you're in a rush to leave. what is the smallest number of socks you should pull out so that you can be assured that you will have at least one pair of matching socks? note that there are no left or right socks and two socks of the same color will be considered matching.
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0
5 pairs of black socks*2 because it’s a pair= 10 socks
4 pairs of grey socks*2=8
2 pairs of white socks*2=4
1 pair of brown socks*2=2
1 pair of blue socks*2=2
10 socks+8 socks+4 socks+2 socks+ 2 socks=26 socks in total
26/2=13+1 because you need to be sure you get one pair of socks. The smallest amount of socks you would have to grab to get at least one matching pair is 14 socks.
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Help please! the question is in the picture below for reference when answering! thank you so much!
stepan [7]

Answer:

x = -1

Step-by-step explanation:

AB + BC = AC = 28

the way from A to C goes through B.

so, the total way of A to C is the sum of the way from A to B and then from B to C.

=>

(5x + 10) + (2x + 25) = 28

7x + 35 = 28

7x = -7

x = -1

4 0
3 years ago
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Can someone help me 19 to 32
andreev551 [17]

Answer:

simple just divide it by finding the reciprocal for the second number

ex: 2/4=4/2

then multiply

Step-by-step explanation:

8 0
3 years ago
Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are
Sergeu [11.5K]

Answer:

D. 0.9938.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 115 and a standard deviation of 8.

This means that \mu = 115, \sigma = 8

100 people are randomly selected

This means that n = 100, s = \frac{8}{\sqrt{100}} = 0.8

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{117 - 115}{0.8}

Z = 2.5

Z = 2.5 has a p-value of 0.9938, and thus, the correct answer is given by option D.

8 0
3 years ago
Find z of the diagonal triangle. <br> Also, complete b.
STatiana [176]

Answer:

x = 30.91 cm , y = 29,86 cm and z = 39.30 cm.

Total area of wood = 2942.54 cm^2.

Step-by-step explanation:

sin 15 =8/x

x = 8 / sin 15

x = 30.91 cm.

and

tan 15 = 8/y

y = 8 / tan 15

= 29.86 cm.

The value of z can be found using the Pythagoras theorem:

50^2 = x^2 + z^2

z^2 =  20^2 - x^2 = 50^2 - 30.91^2

z^2 = 1554.57

z = √1554.57

=  39.30 cm.

b.  The area consists of 3 rectangles :- 1. sides x and z  2. sides z and 8 and the other has sides z and y. Also 2 triangles of height 8 and base length y cm.

Total area = 30.91  * 39.30 + 8 * 39.30 + 29.86 * 39.30 + 2 * 0.5 * 8 * 29.86

=  2942.54 cm^2.

3 0
3 years ago
Help please me please help me
Vinil7 [7]

Answer: (3, 18)

Step-by-step explanation: Where the lines corss the x does not go over 10 so the only other option is a 3. If you cut the box hori in half in you mind, the top half being 15-20 and the bottom half bring 10-14, then you can see the lines cross on the top half. Meaning it’s at 18 not 12.

3 0
3 years ago
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