Simplify the expression: –6(4 − 5j) =

Answer:

(-5)*2 - 12

Step-by-step explanation:

First multiply (-5) and 2. Then (-10) and (-12) have same signs ie. neagtive .

If two integers have same sign, add and the result will have the sign of the both integers.

(-5)*2 - 12 = -10 - 12

                = -22

Answer:

A café owner wants to determine the average pay per week for all his employees. The mean should be calculated using population (μ).

A cattle rancher weighs each of his cattle every six months. He calculates the average weight. The mean should be calculated using population (μ).

Step-by-step explanation:

Answer:

The correct options are the café owner, psychology student, and the catlle rancher.

Step-by-step explanation:

because it is I promise you

Answer:

100

Step-by-step explanation:

take 100 multiplied by half or 50% and it gives you 50.

The lottery's anticipated worth is $80.

Given that,

The probability of receiving $125 is 0.25; the likelihood of receiving $100 is 0.3; and the likelihood of receiving $50 is 0.45.

A) EV=125*.2+100*.3+50*.5=$80

The lottery's anticipated worth is $80.

The expected value is obtained by multiplying each result by its likelihood.

The expected value of the lottery is then calculated by adding up all of these.

This is what we have: ;;

125(0.2) + 100(0.3) + 50(0.5) (0.5)

= 25 + 30 + 25 = $80

B) This is the formula for variance is shown in figure :

So, we can calculate the variance as follows:

.2*(125-80)^2+.3*(100-80)^2+.5*(50-80)^2=975

C) A risk-neutral person would pay $80 or less to play the lottery.

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Answer:

Step-by-step explanation:

Expected value of the lottery is $83.75.

Variance of the outcome is 909.6.

A risk-neutral person would pay $83.75 or less to play the lottery.

a) The expected value is obtained by multiplying each result by its likelihood.

The expected value of the lottery is then calculated by adding up all of these.

This is,

125(0.25) + 100(0.3) + 50(0.45)

          = $83.75

b) we can calculate the variance as follows:

Variance=.25*(125-83.75)^2+.3*(100-83.75)^2+.45*(50-80)^2=909.6

c) A risk-neutral person would pay $83.75 or less to play the lottery.

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Answer:

84

Step-by-step explanation:

The different collections of fruit can he chooses are 210. Hence option C is correct.

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that he has to buy three fruits and the total available fruits is 7 in number.

The different collections are:-

\(^7C_3=\)7 x 6 x 5= 210

We can make 210 different collections to purchase 3 types of fruits out of 7 fruits.

Hence option C is correct.

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Answer:

see explanation

Step-by-step explanation:

Consider the left side

\(\frac{cosA}{1-sinA}\) + \(\frac{cosA}{1+sinA}\)

= \(\frac{cosA(1+sinA)+cosA(1-sinA)}{(1-sinA)(1+sinA)}\)

= \(\frac{cosA+cosAsinA+cosA-cosAsinA}{1-sin^2A}\)

= \(\frac{2cosA}{cos^2A}\) ← cancel cosA on numerator/ denominator

= 2 × \(\frac{1}{cosA}\)

= 2secA

= right side, thus proven

Answer:

a = -2b + 3c

Step-by-step explanation:

Step 1: Subtract 2b from both sides.

Therefore, the answer is a = -2b + 3c.

Answer: d

Step-by-step explanation:

r+g less than or equal to 1,200

r less than or equal to 500

The pair of inequalities models the number of  tickets that can be sold is r + g ≤ 1200 and r ≤ 500

Let r represent the number of reserved seats and g represent the number of seats for general  admission.

Since the school has 1,200 concert tickets for sale, hence:

r + g ≤ 1200   (1)

Also, there are at most 500 reserved-seat tickets. Hence:

r ≤ 500  (2)

The pair of inequalities models the number of  tickets that can be sold is r + g ≤ 1200 and r ≤ 500

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The measurements associated with student life are categorized as follows: length of time to complete an exam is a ratio, time of first class is an interval, major field of study is nominal, course evaluation scale is ordinal, score on last exam is a ratio, and age of student is a ratio.

(a) Length of time to complete an exam - Ratio: This is measured on a scale of time, and can be expressed as a ratio (i.e. the amount of time spent on the exam divided by the total time allotted for the exam).

(b) Time of first class - Interval: The time of the first class is measured on a scale of minutes, hours, and days, and can be expressed as an interval (i.e. the amount of time between two classes).

(c) Major field of study - Nominal: This is a categorical measurement and can be expressed as a nominal variable (i.e. the student's major field of study is either engineering, business, etc).

(d) Course evaluation scale: poor, acceptable, good - Ordinal: This is a scale of quality and can be expressed as an ordinal variable (i.e. the quality of the course can be rated as poor, acceptable, or good).

(e) Score on last exam (based on 100 possible points) - Ratio: This is measured on a scale of points, and can be expressed as a ratio (i.e. the student's score on the exam divided by the total number of points possible).

(f) Age of student - Ratio: This is measured on a scale of years, and can be expressed as a ratio (i.e. the student's age divided by the total number of years they have been alive).

The measurements associated with student life are categorized as follows: length of time to complete an exam is a ratio, time of first class is an interval, major field of study is nominal, course evaluation scale is ordinal, score on last exam is a ratio, and age of student is a ratio.

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Express 3.765765765. .. as a rational number, in the form where p and q have no common factors and q 0.657.

To express 3.765765765... as a rational number, we need to find the repeating pattern in the decimal. We can do this

By subtracting the non-repeating part of the decimal from the whole decimal:
3.765765765... - 3.7 = 0.065765765...

We can see that the repeating pattern is 657, so we can write the decimal as:
3.7 + 0.065765765... = 3.7 + 0.657657657.../10

Now we have a fraction with numerator 657 and denominator 1000 (since there are three repeating digits), but we need to simplify it so that there are no common factors between the numerator and denominator. We can divide both by 3 to get:
657/1000 = 219/333=0.657

Now, we have a rational number in the form p/q where p and q have no common factors.

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Answer:

34,163.28

Step-by-step explanation:

Answer:

100:7$+3733-5

Step-by-step explanation:

beacuse Yan ang answer

The best estimate for the population parameters is Option A: "a mean of 4.9 letters and a standard deviation of 1.5 letters", because these values match the estimates for the sampling distribution. 

The mean and standard deviation of the sampling distribution give us an idea of the spread and central tendency of the data. In this case the mean was 4.9 letters and the standard deviation was 0.15 letters. This suggests that the mean word length for the textbook is 4.9 letters & that the values are tightly clustered around this central value.

Therefore it is more likely that the population parameters would be similar to these estimates.

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Answer:

16.5+13.6+12.4.17.7= 60.2

60.2÷4 =15.05

Answer:

hope this helps

Step-by-step explanation:

The distance in the east direction Mr. Jackamonis after Ms Follis walks 5 feet directly north and the distance between them is 13 feet, obtained using Pythagorean Theorem is 12 feet

Pythagorean Theorem states that the square of the length of the hypotenuse side of a right triangle is equivalent to the sum of the squares of the lengths of the other two sides of the right triangle.

Let a represent the length of the hypotenuse side, and let b and c represent the lengths of the other two sides, then according to the Pythagorean Theorem, we get;

a² = b² + c²

The direction Ms. Follis walks = 5 feet directly north

The direction Mr. Jackamonis walks = Directly east

The distance between Ms. Follis and Mr. Jackamonis = 13 feet apart

The distance Mr. Jackamonis walks, d, can  be found using Pythagorean Theorem as follows;

13² = 5² + d²

Therefore;

d² = 13² - 5² = 144

d = √(144) = 12

d = ± 12

Distances are measured using natural numbers, therefore;

d = 12 feet

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The length of each side of the equilateral triangle is 14 units.

If the height of an equilateral triangle is 7√3, we can use the formula for the area of an equilateral triangle to find the length of each side.

The area of an equilateral triangle with side length s is given by:

A = (sqrt(3)/4) * s^2

We know that the height of our equilateral triangle is 7√3, which means that it bisects the base into two congruent segments, each with length s/2. Using the Pythagorean theorem, we can find the length of the base:

(s/2)^2 + (7√3)^2 = s^2

s^2/4 + 147 = s^2

3s^2/4 = 147

s^2 = 196

s = 14

Therefore, the length of each side of the equilateral triangle is 14 units.

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We were told that angle AEc and angle DEF are vertical angle.

The percentage of scores that are less than 144 is 85.31%, given the normal distribution.

In the question, we are given that scores on a test are normally distributed with a mean of 123 and a standard deviation of 20.

We are asked to find the percent of scores that are less than 144.

Thus, we have:

Mean, μ = 123,

Standard Deviation, σ = 20.

The value to check, x = 144.

To find the percentage score, we will use the Z-Score table, with the formula, z = (x - μ)/σ.

We are asked to calculate the percentage of scores less than 144, that is,

P(X < 144)

= P(Z < (144 - 123)/20)

= P(Z < 21/20)

= P(Z < 1.05)

= 0.8531 {From the table}

= 85.31%.

Thus, The percentage of scores that are less than 144 is 85.31%, given the normal distribution.

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The sum of the given expressions using the column method is 3a^2.

The sum of the given expressions can be found using the column method. Let's break it down step-by-step:
1. First, let's consider the expression a^2 + 2ab + b^2.
2. Write down the expression vertically, with each term aligned under its respective power of a:
      a^2
   + 2ab
   + b^2
3. Add the corresponding terms vertically:
    (a^2 + 2ab + b^2)
4. Next, let's consider the expression a^2 - 2ab - b^2.
5. Write down the expression vertically, with each term aligned under its respective power of a:
      a^2
   - 2ab
   - b^2
6. Add the corresponding terms vertically:
    (a^2 - 2ab - b^2)
7. Finally, let's consider the expression a^2 + b^2.
8. Write down the expression vertically, with each term aligned under its respective power of a:
      a^2
      b^2
9. Add the corresponding terms vertically:
    (a^2 + b^2)
10. Now, we can find the sum of all the expressions by adding the results from steps 3, 6, and 9:
    (a^2 + 2ab + b^2) + (a^2 - 2ab - b^2) + (a^2 + b^2)
11. Simplify the expression:
    a^2 + 2ab + b^2 + a^2 - 2ab - b^2 + a^2 + b^2
12. Combine like terms:
    3a^2
Therefore, the sum of the given expressions using the column method is 3a^2.

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The statements that are true about the given algorithms are: I. Algorithm 1 does not work on lists where the smallest value is at the start of the list or the largest value is at the end of the list.  II. Algorithm 2 does not work on lists that contain all negative numbers or all numbers over 1000.

Algorithm 1's reliance on initializing minVal to the first value and maxVal to the last value can lead to incorrect results if the smallest or largest value is not properly updated during the iteration. Similarly, Algorithm 2's fixed initial values for minVal and maxVal can result in incorrect differences when dealing with lists containing all negative numbers or all numbers over 1000.

It is important to consider these limitations and potential failure cases when choosing and implementing an algorithm for calculating the difference between the smallest and largest values in a list.

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Answer:

52

Step-by-step explanation:

X=10x =10

means here value of X is 1

y = 4y = 4

means here value of y is also 1

now substitute the values of X and y in the equation

8×1-7×1×(8×1-7×1)

8-7(8-7)

64-49

15

Answer:

5x+3y-1475=0

Step-by-step explanation:

if this helps please mark brainliest <3

The reward of 600 points will be earned by spending the amount of $300.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that, Omar earns 800 reward points for spending 300 dollars.

The amount of money spent to earn 600 reward points will be calculated as,

800 reward points = $300 spending

1 reward point = $300 / 800 spending

600 reward point = ($300 x 600) / 800

600 reward points = $225

Therefore, the reward of 600 points will be earned by spending the amount of $300.

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