For each statement below enter a T (true) the statement is true and an F (false) otherwise. In this problem you need to get everything correct before receiving credit. Whenever there is a division below, we assume that the divisor is non-zero. We also assume that where it matters the base of any power is positive.
_____For all real numbers a, b, and c a^b a^c = a^be
_____For all real numbers a, b, and c a^b a^c = a^b+c
_____For all real numbers a and b a^-b= a/a^b
_____For all real numbers a and b a^-b = -a^b
_____For all real numbers a and b a^b = ab

Answer:

a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:

28 + 49 + 77 = 154

= 7*4 + 7*7 + 7*11

= 7 (4 + 7 + 11)

= 7 (22)

= 154

Step-by-step explanation:

a) Data and Calculations:

Number of stamps that Mia has = 28

Number of stamps that Alex has = 49

Number of stamps that Michael has = 77

GCF = 7

b) GCF = Greatest common factor.  The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products.  The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.

The required inequality is given as 2x + 43 > x/4 + 88. Option B is correct.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the number be x,
According to the question,
Twice a number increased by 43 is greater than one-fourth the number increased by 88.
2x + 43 > x/4 + 88

Thus, the required inequality is given as 2x + 43 > x/4 + 88. Option B is correct.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2

Answer:

Correct answer would be 84/12=7

Step-by-step explanation:

Reason being , Its asking the "product" Of Julies score (7)

If you divide 84 /7 it will be =12

since its already giving you what its equal you would flip it and it would be 84/12

Answer:

45 bouquets

Step-by-step explanation:

733 divided by 16 is 45.8125

Round that and you get 45.

Hope this helps!!!

Answer:

45

Step-by-step explanation:

733/16 = 45.81 = 45 and remainder 13

In this case we must round down since with the 13 flowers in the remainder he cannot make another bouquet.

He can make 45 bouquets.

Answer:

4(x-3) = 8

Step-by-step explanation:

4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.

Answer:

4(x-3) = 8

Step-by-step explanation:

answer:

26.563 miles.

step-by-step explanation:

5.123 + 6.34 + 7.1 + 8 = 26.563

-- please mark the brainliest and click the thanks button if correct :)

Answer:

6:4:9 Yw❤️

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Have a good day

Answer:

the answer is 236.25

Step-by-step explanation:

The interest rate on annual basis on the given account should be considered as 0.9%.

Here the interest amount be

= Future value - principal

= $12,324 - $12,000

= $324

Now the interest rate be like

Interest = Principal * rate * time period

$324 = $12,000 * rate * 3/ 100

So, the rate be 0.9%.

Hence, The interest rate on annual basis on the given account should be considered as 0.9%.

Learn more about interest rate here: https://brainly.com/question/14191952

Answer:

C. 0.045

Step-by-step explanation:

Answer:

B) 3/8

Step-by-step explanation:

Proportion/ Ratio:

3 pounds to 8 flower beds

3 : 8

3 / 8

Answer:

The answer is 2 ounces

Step-by-step explanation:

400 hope this helps!

May I have brainliest please? :D

Answer:

8/15 and 3/10

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[tex]\pink{\bigstar}[/tex] The factor of given expression is [tex]\large\leadsto\boxed{\tt\purple{Option.a \rightarrow (x+3)}}[/tex]

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✯ x² - 6x - 27

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Splitting the middle term:-

➪ x² - 9x + 3x - 27

➪ x(x - 9) + 3(x - 9)

★ (x -9) (x +3)

Therefore, the factors of the given expression are (x - 9) and (x +3).

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence, Option A. i.e (x + 3) is the correct choice.

Answer:

[tex] {x}^{2} - 6x - 27 \\ factorise \\ {x}^{2} - 9x + 3x - 27 \\ = take \: x \: from \: first \: two \: terms \\ and \: 3from \: last \: two \: terms \\ then \\ x(x - 9) + 3(x - 9) \\ here(x - 9)is \: commen \\ so(x - 9)(x + 3) \\ (1)is \: ur \: answer \: it \: is \: x + 3 \\ thank \: you[/tex]

Answer:

well 34/2= 17 so the kids in Bing-BU ate more total bananas

Step-by-step explanation:

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=3x and b=5.

(3x+5)(3x−5)

Step-by-step explanation:

Answer:

Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below

answer :

y-intercept = 25.9047

 slope = 2.8420

Step-by-step explanation:

Determine the slope for the regression equation and y intercept

The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )

y = 25.9047 + 2.8420x

from the equation gotten above

y-intercept = 25.9047

slope = 2.8420

Answer:

The answer is t=8

Step-by-step explanation:

simplify both sides or the equation, then isolate the variables

Answer:

t = 8

Step-by-step explanation:

Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 6 to both sides of the equation:

1/4t + (-6) = -4

1/4t - 6 = -4

1/4t - 6 (+6) = -4 (+6)

1/4t = -4 + 6

1/4t = 2

Next, multiply 4 to both sides of the equation to isolate the variable, t:

4 * (1/4)t = (2) * 4

t = 2 * 4

t = 8

t = 8 is your answer.

~

Answer:

n/2 - 3 = 10 represents this situation

Step-by-step explanation:

Let the number be n.  Then:

n/2 - 3 = 10 represents this situation.

Answer:1/2x-3=10

Step-by-step explanation:

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

Using the Poisson distribution, it is found that:

a) The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.

b) 0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

In this problem, the mean is of [tex]\mu = 5[/tex].

Item a:

The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.

Item b:

This probability is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-5}(5)^{0}}{(0)!} = 0.0067[/tex]

[tex]P(X = 1) = \frac{e^{-5}(5)^{1}}{(1)!} = 0.0337[/tex]

[tex]P(X = 2) = \frac{e^{-5}(5)^{2}}{(2)!} = 0.0842[/tex]

[tex]P(X = 3) = \frac{e^{-5}(5)^{3}}{(3)!} = 0.1404[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0067 + 0.0337 + 0.0842 + 0.1404 = 0.265[/tex]

0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.

A similar problem is given at https://brainly.com/question/16912674

Answer:

7 = 49.....

Step-by-step explanation:

7 * 7. = 49

ok....

thanks

Answer:

61.16667 ; (58.958, 63.375)

Step-by-step explanation:

Given the data :

72,51, 67, 68, 61, 69, 58, 56, 60, 56, 66, 61, 60, 59, 59, 54, 58, 53, 68, 63, 57, 62, 63, 64, 56, 62, 58, 67, 57, 70

Standard deviation, σ = 5.3

Sample size, n = 30

The point estimate of the population mean:

Mean, m = Σx/n

Σx = 1835 ; n = 30

m = 1835 / 30

m = 61.16667

Confidence interval :

m ± Tn-1,α/2 * σ/sqrt(n)

61.16667 ± T30-1,0.03/2 * 5.3/sqrt(30)

61.16667 ± T29,0.015 * (5.3/sqrt(30))

61.16667 ± 2.282175 * (0.9676431)

Lower bound = 61.16667 - 2.20833 = 58.95834

Upper bound = 61.16667 + 2.20833 = 63.375

(58.958, 63.375)

Answer:

384 cm^3

Step-by-step explanation:

(16 times 4) times 6 = 384   :D

Answer:

The options are not given, so i will answer in a general way.

First, we have the system:

y + 2*x = 3

y + 2 = 3*x

To graph this system, the easier way is writing both equations as linear equations, like:

y = -2*x + 3

y = 3*x - 2

Now we just need to graph these two lines in the same coordinate axis.

To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.

For example, for the first equation if we have x = 0, we have:

y = -2*0 + 3

y = 3

Then we have the point (0, 3)

and if x = 1

y = -2*1 + 3 = 1

y = 1

we have the point (1, 1)

Now we only need to graph these points, and draw a line that passes through them.

Once we did this for both lines, the graph we will get will look something like the one above.

And the point where the lines intersect is the solution of the system of equations.

Which is the point (1, 1)

Answer:

42/55

Step-by-step explanation:

6/5 times 7/11 = 42/55