Write each fraction as a decimal use bar notation if necessary -6/7

Please help . I’ll mark you as brainliest if correct

Oxana [17]

Answer:

30m

Step-by-step explanation:

51-21=30 that is the length of the long piece

8 0

2 years ago

Outside a home, there is aa 44-key keypad numbered 11 through 44. The correct sixsix-digit code will open the garage door. Th

olya-2409 [2.1K]

Answer:

a) 4,096

b) 0.000244

Step-by-step explanation:

a)

By the Fundamental rule of counting, there are

4*4*4*4*4*4 = 4,096

ways of forming six-digit arrangements where each position has 4 possibilities (1 to 4)

b)

The probability of entering the correct code on the first try, assuming that the owner does not remember the code is

1/4096 = 0.000244

5 0

3 years ago

Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop

nlexa [21]

Answer:

The value of the test statistic is $z = 1.78$

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

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.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

$\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8$