5. Find the LCM by the long division method: (a), 18, 63, 78

goldfiish [28.3K]

15x=180
x=12

hope this helps

4 0

3 years ago

Two trains leave stations 374 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour

sveta [45]

2 hrs and 12 min or 2.2 hrs

5 0

3 years ago

Question 6 (1.25 points)

Lisa [10]

Answer:

Test statistic Z= 1.713

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

H₀: x⁻ = μ

Alternative Hypothesis : x⁻ ≠ μ

Step(ii):-

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }$

Z = 1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

4 0

3 years ago

Each letter of the word "supercalifragilisticexpialidocious" is placed into a bag and drawn at 3 times, replacing the letter aft

Makovka662 [10]

Answer:

P(X ≥ 1) = 0.50

Step-by-step explanation:

Given that:

The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.

Then; the probability of success = 7/34 = 0.20588

Using Binomial distribution to determine the probability; we have:

$P(X = x) = ^nC_x \ \beta^x \ (1 - \beta)^{n-x}$

where;

x = 0,1,2,...n and 0 < β < 1

and x represents the number of successes.

However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:

P(X ≥ 1) = 1 - P(X< 1)

P(X ≥ 1) = 1 - P(X =0)

$P(X \ge 1) = 1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg]$

$P(X \ge 1) = 1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg]$

P(X ≥ 1) = 1 - 0.50

P(X ≥ 1) = 0.50

4 0

3 years ago

Pls i need the answer to this question

steposvetlana [31]

Answer:

x ≤ 0

Step-by-step explanation:

2x² ≤ 0

2x² / 2 ≤ 0 / 2

x² ≤ 0

x²/ x ≤ 0 / x

x ≤ 0

6 0

3 years ago

5.Find the LCM by the long division method:(a), 18, 63, 78​

5.Find the LCM by the long division method:(a), 18, 63, 78