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Helga [31]
3 years ago
5

t's dark. You have ten grey socks and ten black socks you want to put into pairs. All socks are exactly the same except for thei

r colour. How many socks would you need to take with you to ensure you had at least a pair? a) 3, b) 16, c) 8, or d) 7
Mathematics
2 answers:
Brrunno [24]3 years ago
5 0

the answer is 3. after taking 2 socks, you will either have 2 that match or 2 that differ. to ensure a matching pair, you need to add 1 more sock.

- cherry :)

Nadya [2.5K]3 years ago
5 0

Answer:

a

Step-by-step explanation:

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A bird travels 200 meters in 50 seconds. What is its average speed?
Semmy [17]

Answer:

4 meters per second

Step-by-step explanation:

200 ÷ 50 = 4

8 0
3 years ago
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What is the least common multiple of 10, 20, and 14?
lyudmila [28]

Answer:

The least common multiple would be 140.

Step-by-step explanation:

The least common multiple is known to be a multiple that is the lowest value that satisfies being a multiple with the other factors given.

The least common multiple was 140 as it was the lowest value that satisfied being a multiple of 14, 10, AND, 20,

14 * 10 = 140

20 * 7 = 140

10 * 14 = 140

7 0
3 years ago
The average size of 8 farms in Indiana County, Pennsylvania, is 191 acres with standard deviation of 38 acres. The average size
Grace [21]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let μ1 be average size of farms in Indiana County, Pennsylvania and μ2 be the average size of farms in Greene County, Pennsylvania.

The random variable is μ1 - μ2 = difference in the average size of the farms in Indiana County and the average size of the farms in Greene County.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 191

μ2 = 199

s1 = 38

s2 = 12

n1 = 8

n2 = 10

t = (191 - 199)/√(38²/8 + 12²/10)

t = - 0.57

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [38²/8 + 12²/10]²/[(1/8 - 1)(38²/8)² + (1/10 - 1)(12²/10)²] = 37986.01/4677.36142857143

df = 8

We would determine the probability value from the t test calculator. It becomes

p value = 0.58

Let us assume a significance level of 0.05

Since alpha, 0.05 < than the p value, 0.58, then we would accept the null hypothesis. Therefore, at a significance level of 5%, there is not sufficient evidence to conclude that the average size of the farms in Indiana County and the average size of the farms in Greene County are different.

4 0
3 years ago
Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log4 45
tiny-mole [99]

Answer:

Common logarithm

log_451= \frac{log_1_045}{log_1_08}

Natural logarithms

log_445= \frac{log_e45}{log_e4}

or

log_445= \frac{In45}{In4}

Step-by-step explanation:

From the question we are told that

Log_445

Generally converting log from base x to base 10 si mathematically represented as

log_xa=log_1_0a *log_x10

log_xa= \frac{log_1_0a}{log_1_0x}

Therefore

Common logarithm

log_451= \frac{log_1_045}{log_1_08}

Generally Natural logarithms log_ex\ or\ inx is mathematically represented as

log_xa= \frac{log_ea}{log_ex}

Therefore

Natural logarithms

log_445= \frac{log_e45}{log_e4}

or

log_445= \frac{In45}{In4}

6 0
3 years ago
Which statements are true? All parallelograms are rhombuses. All rectangles are squares. All rectangles are parallelograms. All
Simora [160]

Answer:

A.

Step-by-step explanation:

4 0
2 years ago
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