Use the Commutative property to write an equivalent expression 15a +7b=

Answer:

39% decrease

Step-by-step explanation:

To find the decrease, subtract 55 from 90

90 - 55 = 35

Divide 35 by the original temperature -

35/90 = 0.388

Multiply 0.388 by 100 to find the percent -

38.8%

Round to the nearest percent -

39%

Answer:

36

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg

From two populations, independent random samples were drawn, each having 80 observations. The test statistic should be z = 2.18 because samples from populations 1 and 2 yielded 33 and 28 successes, respectively.

P-value is set at 0.030.

State the null and alternate hypotheses in step one.

H0: (p1-p2) = 0

Ha: (p1-p2) ≠ 0

Step 2: Calculate the test statistic

We can calculate the test statistic using the formula:

z = (p1-p2)/√(p(1−p)(1/n1+1/n2))

where,

p = (successes in sample 1 + successes in sample 2)/(n1+n2)

= (33 + 28)/(80 + 80)

= 61/160

= 0.30

n1 = sample size of population 1

= 80

n2 = sample size of population 2

= 80

Therefore,

z = (p1-p2)/√(p(1−p)(1/n1+1/n2))

= (33/80 - 28/80)/√(0.38125(1−0.38125)(1/80+1/80))

=2.18

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The cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute

Cubic feet of air used per minute = Difference in quantity of air in his tank / difference in time

= (30 - 12) / (3:30pm - 3:15pm)

= 18 / 15

= 1.2 cubic feet of air per minute

Therefore, the cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute

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Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Step-by-step explanation:

-2x=34 prove x=-17

34=34

because

-2 time -17 is 34

The total amount of times Boris spent doing these two assignments is 7/10 hours

The given parameters are:

English = 1/2 hours

History = 1/5 hours

The total amount of times Boris spent doing these two assignments is

Total = 1/2 + 1/5

This gives

Total = 7/10

Hence, the total amount of times Boris spent doing these two assignments is 7/10 hours

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Answer:

1. 49/150

2. 107/300

Step-by-step explanation:

Here is a probability question.

a. The first question asks us to find the probability of getting more than 4.

Now to do this, we look at our possible results when we roll the die, we can see that we can have 1-6.

But within this range, only two numbers are greater than 4, these are 5 and 6

Thus, to calculate the probability of getting either 5 or 6, we look at their frequencies, sum it up, then divide by the total number of times which the die was rolled.

The frequency of 5 is 47, while that of 6 is 51

The probability of getting more than 4 = Probability of getting 5 + Probability of getting 6 = (Frequency of 5 + Frequency of 6)/Total number of trials

= (47 + 51)/300 = 98/300 = 49/150

b. Probability of getting less than 3

Here, we proceed as we did in the first question. The numbers which are less than 3 are 1 and 2.

So the probability of getting less than 3 = Probability of getting 1 + Probability of getting 2 = (Frequency of 1 + Frequency of 2)/Total number of trials

Frequency of 1 = 62 while Frequency of 2 = 45

So, probability of getting less than 3 = (45 + 62)/300 = 107/300

The margin of error is defined as follows:

M = 1.9z/sqrt(n).

In which:

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is then given as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The problem is incomplete, hence the general procedure to obtain the sample size was presented.

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Answer:

Rounding to the nearest cent, it cost $30 per gallon.

Answer:

See below

Step-by-step explanation:

Start by subtracting 5.2 from both sides of the equation

  so  "subtraction property of equality "    I suppose ......

then the next step would be divide both sides by 2.5  

  which would be division property of equality  

Answer: Subtraction Property of Equality

Step-by-step explanation:

- the subtraction property of equality is the rule that when you subtract the same number to or from both sides of an equation and get an equivalent equation

__________________________________________________________

- for this equation you would subtract 5.2 from the left-side of the equation and subtract it from 35.2 on the right side of the equation

      - this is to isolate n

- basically 2.5n = 30 since n is a variable and that number multiplied by 2.5 will equal 30

- so the new equation would be 2.5n = 30

- so then:  \(\frac{n}{2.5}\) = \(\frac{30}{2.5}\)  so n = 12

hope this helps :)

Given the frequency and number of possible outcomes, the number of days that must pass before it becomes probable that Janice will have had to pick up lunch at least once is 8.

Note that the probability of any of the staff at the office picking the food is 1/8.

Even if She does not pick up lunch on her first day or second, the number of days that must pass to make sure that Janice picks up lunch AT LEAST once is 1 in 8 days.

The formula to compute the probability of an event is equivalent to the ratio of favorable outputs to the total number of outputs. It is to be noted that probabilities always range between 0 and 1.

The expression is given as:

P (E) = f/O; where

P(E) is the Probability of an event E happening;

f =  The number of possible outcomes for an event (frequency)

n = Total number of outputs that are likely

Hence,

P(E) = 1/8

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Answer:

29

Step-by-step explanation:

Since f(x) = x, then where there is x, we will substitute g(x). So since f(x) = x, then f[g(x)] = 2x + 7, since there is only on x.

Now, we substitute the value of x, 2(11) + 7 = 22 + 7 = 29

Answer:

40800

Step-by-step explanation:

4 weeks = 1 month

So we use,

850 * 4 = 3400 (monthly)

12 months = 1 year

So we use,

3400 * 12 = 40800 (annually)

Answer:

1 foot

Step-by-step explanation:

Answer:

it is 1 foot can i have brainly lol

Step-by-step explanation:

Answer:

A. 149

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, the sum of the opposite angles in the quadrilateral equal (180) degrees. Applying this theorem here, one can state the following:

c + 31 = 180

Inverse operations,

c + 31 = 180

c = 149

Thus, option (A) is the correct angles: ( c = 149°)

The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

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Answer:

W > 2

Step-by-step explanation:

-2W + 17 < 13

-2W < -4

W > 2

Answer:

A. 4 and 5

Step-by-step explanation:

You know that 4^2 is 16 and 5^2 is 25. \(\sqrt{16}\) is 4 and \(\sqrt{25}\) is 5, so \(\sqrt{20}\) must be somewhere in between 4 and 5.

Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Answer:

Step-by-step explanation:

The current that flows through most substances is directly proportional to the voltage V applied to it. The German physicist Georg Simon Ohm (1787–1854) was the first to demonstrate experimentally that the current in a metal wire is directly proportional to the voltage applied: I∝V I ∝ V .

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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Answer:

$2700

Step-by-step explanation:

The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -6 and b = 360, so we have:

x = -360/(2*(-6)) = 30

Therefore, the company will maximize its profit by selling 30 units of the product.

p(x) = -6x^2 + 360x - 2500

(x = 30 )

p(30) = -6(30)^2 + 360(30) - 2500 = 2700

So, the maximum profit for the company is $2700.

An equation of the line that passes through the points (-4, -1) and

(6, -1) are  is 0  and  y is 4x - 25.

The slope-intercept version of the equation for the line through point (6, -1) with slope m = 4 is y = 4x - 25.

The line crosses over (4, 1)

Yy 1 = m(xx 1 ) is the equation for a line.

y+1=4 1 (x4) x+4y+4=x4 

x+4y+4=x4 

x+4y+4=x4 

y+4y+4=0

∴x−4y−8=0 is needed to solve a straight line's equation.

y y1 y2-  y1 = x 

x1

The formula for a straight line that connects the coordinates (x1,y1) and (x2,y2) is: y =  y1 y2-  y1 = x  x1 x2 - x1. Now, we may give an example using this formula.

An equation of the line that passes through the points (-4, -1) and

(6, -1) arex−4y−8=0  and  y is 4x - 25.

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Answer: 2

i took the k12 quiz

The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.

To find the value of S4, we substitute n = 4 into the expression and evaluate it.

♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)

Simplifying, we get:

♾️. 3 Σ 1/4(-1/3)

Since the term 1/4(-1/3) is constant, we can pull it out of the summation:

1/4(-1/3) ♾️. 3

Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:

1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12

Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

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The probable question could be:

What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?

A) 1/9

B) 7/54

C) 5/27

D) 10/27