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viva [34]
3 years ago
14

Can someone please help me with these questions!

Mathematics
2 answers:
8_murik_8 [283]3 years ago
7 0

1. Buddy is 1 out of 11 students in the classroom who are spreading Christmas Cheer. What percentage of the class is he?

He is 9% of the class that is spreading Christmas cheer.

2. Santa's sleigh has a Clausometer. The highest measure is 100%. If the Clausometer measured at 45. What would this number be represented as a decimal?

If the clausometer measured at 45 then this number as a decimal will be represented as 0.45.

3. The Jack-in-the-box toys had to be tested! The toys worked 0.985 of the time! What percentage of time did they work?

They worked 98.5% of the time

4. The guys handing out advertisement flyers have handed out 4/5 of their total flyers. What percentage of flyers has been handed out?

80% of flyers have been handed out.

5. When the lights go out in the store at night, there is a 15% off sign hanging up by the makeup counter. What is this number as a decimal and a fraction in simplest form?

This number as a decimal and a fraction in simplest form is 3/20 and 0.15.

Iteru [2.4K]3 years ago
7 0

Answer:

1. 9\frac{1}{11}%

2. 0.45

3. 98.5%

4. 80%

5. Decimal: 0.15, Fraction: \frac{3}{20}

Step-by-step explanation:

When calculating percentage, turn the question to a fraction and multiply the fraction by 100%.

When calculating decimal, turn the question to a fraction out of 100, and turn it into a decimal.

When calculating a fraction in its simplest form, turn the question to a fraction and simplify it.

1. (Percentage)

Fraction: \frac{1}{11}

Percentage: \frac{1}{11} × 100% = 9\frac{1}{11}%

2. (Decimal)

Fraction: \frac{45}{100}

Decimal: 45 ÷ 100 = 0.45

3. (Percentage)

Fraction: 0.985 = \frac{985}{1000}

Percentage: \frac{985}{1000} × 100% = 98.5%

4. (Percentage)

Fraction: \frac{4}{5}

Percentage: \frac{4}{5} × 100% = 80%

5. (Decimal)

Fraction: 15% = \frac{15}{100}

Decimal: 15 ÷ 100 = 0.15

5. (Fraction)

Fraction: \frac{15}{100}

Simplest form: \frac{15}{100} = \frac{3}{20} (Divide both numerators and denominators by 5)

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What is the midline of this function? y=    
Sergeeva-Olga [200]

Answers:

  • Midline:  y = 0
  • Amplitude = 1.5
  • Function:  g(x) = 1.5sin(0.5x + pi/4)

There are infinitely many possible ways to answer the third part.

===========================================================

Explanation:

The midline is the horizontal line that goes through the center of the sine curve. Visually we can see that is y = 0. Another way we can see this is to note how y = 0 is the midpoint of y = 1.5 and y = -1.5, which are the max and min respectively.

---------

The amplitude is the vertical distance from y = 0 to y = 1.5, and it's also the vertical distance from y = 0 to y = -1.5; in short, it's the vertical distance from center to either the peak or valley.

---------

The general format of a sine curve is

y = A*sin(B(x-C)) + D

where,

  • |A| = amplitude
  • B = variable tied with the period T, specifically B = 2pi/T
  • C = handles the left and right phase shift
  • D = handles the vertical shifting, and y = D is the midline.

In this case, we found so far that

  • |A| = 1.5 which could lead to A = 1.5
  • B = 2pi/(4pi) = 0.5 since T = 4pi is the period
  • D = 0

The only thing we're missing is the value of C, which is the phase shift.

Note the point (pi/2, 1.5) is one of the max points on this curve. Also, recall that sin(x) maxes out at 1 when x = pi/2

This must mean that the stuff inside the sine, the B(x-C) portion, must be equal to pi/2 in order to lead sin(B(x-C)) = 1.

So,

B(x-C) = pi/2

0.5(pi/2-C) = pi/2

pi/4 - C/2 = pi/2

4*( pi/4 - C/2 ) = 4*(pi/2)

pi - 2C = 2pi

-2C = 2pi - pi

-2C = pi

C = pi/(-2)

C = -pi/2

This allows us to update the function to get g(x) = 1.5*sin(0.5(x+pi/2)) which is the same as g(x) = 1.5sin(0.5x + pi/4)

This is one possible answer because we could have infinitely many possible values for C, due to sin(x) = 1 having infinitely many solutions.

Also, you could use cosine instead of sine. Cosine is just a phase shifted version and of sine, and vice versa.

7 0
3 years ago
Solve for X, will mark brainliest if right
Vitek1552 [10]

Answer:

<u>x = 8</u>

Step-by-step explanation:

The sides are in proportion.

  • \frac{RG}{FG} =\frac{SH}{FH}
  • 40 / 7x + 14 = 44 / 33 + 44
  • 40 / 7x + 14 = 44/77 = 4/7
  • 40(7) = 4(7x + 14)
  • 280 = 28x + 56
  • 10 = x + 2
  • <u>x = 8</u>
3 0
2 years ago
Angie ,Blake ,Carlos and daisy went running . Angie ran 1/3 mike, Blake ran 3/5 mile, Carlos ran 7/10 mile, and daisy ran 1/2 mi
Alexxx [7]
Lets find the common demoninator of them all, Its 30!  so 1/3 of 30= 10
3/5 of 30= 18       7/10 of 30= 21      1/2 of 30 = 15

So that means that 7/10 is the biggest out of them all, That means carlos ran the greatest distance!


8 0
3 years ago
The work of a student to solve a set of equations is shown:
11Alexandr11 [23.1K]
The student made error in step 2 because negative multiplied by positive is negative. Also negative multiplied by negative is positive
6 0
4 years ago
Read 2 more answers
Which of the statements about one-way ANOVA is FALSE? ANOVA deals only with one factor, such as treatment or group. There can be
jekas [21]

Answer:

It is used when there are two independent variables in the experiment.

Step-by-step explanation:

The one way analysis of Variance statistical test is employed when we intend to analyze the variation in the mean of levels or groups of an independent variable. It allows us check for convergence of data. The variable here is usually categorical and must have 3 or more levels, hence, the groups could be infinite in count. A one way ANOVA will have only ONE independent variable, For data with two independent variables, the TWO way ANOVA statistical test is employed.

8 0
3 years ago
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