Answer cant get hang of it answers anyone please

What will be the unit digit of the cube of a number ending with 9 ?

Bess [88]

Answer:

9

Step-by-step explanation:

If I’m understanding you correctly, the answer would be nine. Any number with a 9 in the one’s place (unit digit) would still have a nine in that place after being cubed.

29³=24,389

69³=328,509

3 0

3 years ago

Read 2 more answers

Can you think of another combination of triangle classification that is impossible?

cestrela7 [59]

How about an equilateral right triangle or equiangular right triangle hope this helps

3 0

3 years ago

Write the equation of the line in fully simplified slope-intercept form.

Ostrovityanka [42]

Y = 3x - 1
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5 0

3 years ago

The probability

Verdich [7]

Probability of distinct 3-digits is 1/6.

Probability of both the first digit and the last digit are even numbers is 1/5.

Step-by-step explanation:

Given set of numbers {1,2,3,5,8,9} = 6

Total number of 3-digits can be formed = 6 $\times$ 5 $\times$ 4 = 120.

Probability of the three-digit numbers with distinct digits :

The number of 3-digit numbers with distinct digits = (6 $\times$ 5 $\times$ 4) / (3 $\times$ 2 $\times$ 1) = 20.

P(distinct 3-digits) = no. of distinct 3-digits / Total no.of 3-digits

⇒ 20/120

⇒ 1/6

Probability that both the first digit and the last digit of the three-digit number are even numbers :

The even numbers in the set are 2 and 8 = 2 possibilities.

The number of 3-digits with 1st and 3rd digit are even = (2 $\times$ 6 $\times$ 2) = 24.

P(1st and 3rd digits even)= no. of 1st and 3rd digit even/Total no. of 3-digits.

⇒ 24/120

⇒ 1/5

6 0

4 years ago

Recently, FHA mortgages, which are insured by the federal government, accounted for 28% of all home-purchase mortgages that were

Murljashka [212]

Answer:

15.87% probability that 48 or more from this sample were insured by the FHA

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .