rl bought a pack of bouncy balls in assorted colours. There were six blue ones, six red ones, three pink ones, two purple ones, five green ones, six yellow ones, and four orange ones. What is the mode of this set of data

Answer for the first equation:

(7, -1)

Step-by-step explanation:

Original Equation: 5(x - 3y) - 2x = 6 When x = 3y

Substitute in the 3y for x:

5(3y - 3y) - 2(3y) = 6

5(0) - 6y = 6

-6y = 6

y = -1

Plug -1 in for y in the original equation:

5(x -3(-1)) - 2x = 6

5(x + 3) - 2x = 6

5x + 15 - 2x = 6

3x + 15 = 6

3x = -9

x = -3

Answer:

18 1/2

Step-by-step explanation:

3 7/10 x 5 = 18 1/2

Answer:

the values of N for which there will be no spectral leakage are;

N = Integers multiple by 8

Step-by-step explanation:

Given that;

discrete-time sinusoidal segment x[n] = 6.2cos(0.75πn + 1)

Using DFT to compute the spectrum

The spectral leakage will not be present in the spectrum if the product f₀Td is an integer.

Here, f₀ is sinusoid's frequency and Td is the segment duration

Now we calculate the period of the signal

2π/ω = 2π/0.75π

ω =  2 / 0.75

( × 4 )

ω =  8 / 3

Here, the numerator value is the period of the signal

T₀ = 8

The spectral leakage will not be present in the spectrum if N is  the Integer multiple of period T₀.

Therefore, the values of N for which there will be no spectral leakage are;

N = Integers multiple by 8

Answer:

5/8

Step-by-step explanation:

To find the reciprocal, flip the fraction. The sign remains the same.

The reciprocal of 8/5 is 5/8.

Answer: 5/8

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

The population mean μ = 900

The sample size n = 53

The sample mean = 841

The standard deviation = 190

The level of significance = 0.01

To test the claim that the mean balance of the accounts has decreased during the period.

The null and the alternative hypothesis can be computed as:

[tex]H_o : \mu \ge 900 \\ \\ H_1 : \mu < 900[/tex]

This is a left-tailed test since the alternative is less than 900

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{841 -900}{\dfrac{190}{\sqrt{53}} }[/tex]

[tex]Z = \dfrac{-59}{\dfrac{190}{7.28}}[/tex]

Z = -2.26

The p-value = P(Z < -2.26)

From the z-tables

The p-value = 0.01191

The p-value ≅ 0.012

Decision rule: To reject the null hypothesis if the significance level is > p-value.

We failed to reject the null hypothesis.

Conclusion: Thus, there is insufficient evidence to conclude that such accounts mean balance has decreased during this period.

Answer:

Step-by-step explanation:

add 12 and a number: 12 + c

subtract a number from 12: 12 - c

divide a number by 12: c : 12 or c/12

multiply 12 by a number: 12 · c = 12c

Answer:

the sum of a number and 12=   12+p

the quotient of a number and 12=    p/12

the difference between 12 and a number=   12-p

Step-by-step explanation:

Step-by-step explanation:

The graphs intersect each other at points (-3, 2) and (1, 6).

The x-values of these points are -3 and 1.

Hence the 2 solutions are x = -3 and x = 1.

Answer:

40

Step-by-step explanation:

16 is 40 percent that means that :

32 is 80 percent

8 is 20 percent.

32 + 8 is 40 ------  80 percent+ 20 percent =100 percent

40 is the number whose 40% is 16.

percentage, a relative value indicating hundredth parts of any quantity.

We need to find the number whose 40% is 16.

Let us consider the number be x.

Convert 40% to the decimal by dividing with 100

40/100=0.4

Now multiply zero point four with x which gives 16

0.4x=16

Divide both sides by 0.4

x=16/0.4

x=40

Hence, 40 is the number whose 40% is 16.

To learn more on Percentage click:

https://brainly.com/question/28269290

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Answer:

the x intersept is 3 the y intercept is 4

Step-by-step explanation:

x intersept : 24/8 = 3

y intersept : 24/6 =4

9514 1404 393

Answer:

  (x -4)/3

Step-by-step explanation:

The result of subtracting 4 from x is (x-4). The result of dividing that by 3 is ...

  (x -4)/3

Answer:

520

Step-by-step explanation:

Given that:

Profit function p(x) is :

P(x) = 8.50x- 1500

If the profit made = $2920 ; the number of pizza kits sold is :

Then p(x) = 2920

Putting p(x) = 2920 in the equation :

2920 = 8.50x - 1500

2920 + 1500 = 8.50x

4420 = 8.50x

Divide both sides by 8.50

4420 / 8.50 = 8.50x / 8.50

520 = x

Hence, number of pizza kits sold is 520

Answer:

Step-by-step explanation:

569

Answer:

6 7/8

Step-by-step explanation:

Sorry if I got it wrong :/

Step-by-step explanation:

12 answer is option (1) correct

x>-12

yes question is really incomplete because we not know that what word will come after less than in question 11

Answer:

x = 4

Step-by-step explanation:

From the pythagoras theorem

(x+2)^2 = x(5+x)

x^2 + 4x + 4 = 5x + x^2

x^2 + 4x + 4 - 5x - x^2 = 0

-x + 4 = 0

4 = x

Answer:

Wait lemme think

Step-by-step explanation:

7.7 divided by 1.4 = 5.5. So the flagpole is 5.5 times taller than meter stick

Thus flagpole is 5.5 m tall.

Answer:

x = -2/9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

2/5(x - 2) = 4x

Step 2: Solve for x

Answer:

x = -2/9

Step-by-step explanation:

Multiply both sides by 5

2(x - 2) = 4x*5

2x - 4 = 20x            Subtract 2x from both sides

-4 = 18x                   Divide by 18

-4/18 = x

x = -2/9

Answer:9

Step-by-step explanation:35-8=27

27 divided by 3 yrs = 9

Answer:

False

Step-by-step explanation:

Energy stored in an object is potential energy but energy in motion is kinetic energy  

Answer:

-7

Step-by-step explanation:

−10−(−3)

=−10−(−3)

=−10+3

=−7

Answer:

-7

you're welcome

Answer:

I think option B is correct

generosity

hope my answer is helpful to you

plz mark me as brainlist

Answer:

idek

Step-by-step explanation:

Answer:

D. just sub x = 1, and if the y you get is 5 then that's the answer

Answer:

40 miles per hour

Step-by-step explanation:

80 divided by  2 is 40

160 divided by 4 is 40

The answer is definately 414

Step-by-step explanation:

-5=q+2

-5+2=q

q= -3

hope it helps.

Answer:

q = -7

Step-by-step explanation:

q+2=-5

subtract 2 from both sides

q+2-2=-5-2

q+0=-7

q=-7

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.