Ask question

Ask question

All categories

3 years ago

9

How many 2-digit numbers can be formed using only the digits 2, 3, 5 and 6, if the numbers are not repeated within a number?

1 answer:

larisa [96]3 years ago

8 0

(1) Repetition allowed : There are 4 choices for both positions, so 4 × 4 = 16 2-digit numbers can be formed. (2) Repetition not allowed : There are 4 options for tens position, and three options for ones position. Therefore, 4 × 3 = 12 2-digit numbers can be formed.

You might be interested in

Which is the best estimate of the mass of a skateboard

LekaFEV [45]

Probably B, 3 kilograms. Since grams are too small, and liters isn’t measuring mass, kilograms is the best choice.

8 0

3 years ago

The difference in ages between a father and a son is 35. The sum is

kenny6666 [7]

66

Difference means subtract. So, 101-35=66

7 0

3 years ago

Read 2 more answers

An article presents a study of the failure pressures of roof panels. A sample of 15 panels constructed with 8-inch nail spacing

wariber [46]

Answer:

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject $H_0\ at\ 5%$ level of significance

Step-by-step explanation:

From the question we are told that:

Sample size 1 $n_1=15$

Spacing 1 $s_1=8$

Mean 1 $\=x_1=8.48$

Standard deviation 1 $\sigma_1=0.96 kPa$

Sample size 2 $n_2=16$

Spacing 2 $s_2=6$

Mean 1 $\=x_1=9.93$

Standard deviation 1 $\sigma_1=1.02 kPa$

Generally the hypothesis is mathematically given as

Null $H_0:\mu_1-\mu_2$

Alternative $H_a:\mu_1\mu_2$

Generally the equation for pooled estimate is mathematically given by

$S=\sqrt{\frac{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2}{n_1+n_2-2} }$

Therefore

$S=\sqrt{\frac{(15-1)0.96^2+(16-1)1.02^2}{15+15-2} }$

$S=0.9905$

Generally the equation for test statistics is mathematically given by

$t=\frac{\=x_1+\=x_2}{S\sqrt{\frac{1}{n _1}+\frac{1}{n_2}}}$

$t=\frac{\=8.48-9.93}{0.9905\sqrt{\frac{1}{15}+\frac{1}{15}}}$

$t=-4.00091$

Therefore From table

$P value=P(t_{15+15-2}=4.00091)$

$P value=0.00041918$

$P$

Therefore

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject $H_0\ at\ 5%$ level of significance

3 0

3 years ago

Semenov [28]

Answer:

NEITHER OF THEM IS THE ANSWER

6 0

3 years ago

What hairstyle should i wear (that i can do myself) for greasy hair

mote1985 [20]

Probably a ponytail or just your hair down.

6 0

3 years ago

Read 2 more answers