Given that a randomly chosen student participates in
band, what is the probability that the student also
participates in track?

Answer:

0.026

Step-by-step explanation:

The number gotten from 1/100 of the value of 2.6 is; 0.026

We want to find 1/100 of the value of 2.6. This means that we will multiply 2.6 by 1/100.

⇒ 2.6 × 1/100

Multiply both numerator and denominator by 10 to get;

26/1000

Now, when we divide 26 by 1000, we will get a decimal which is; 0.026

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Answer:

what do you need help with?

Step-by-step explanation:

Answer: yes i will be your tutor what is your question.

Step-by-step explanation:

Answer:

f(x) = 3x² - 24x + 53

Step-by-step explanation:

Given

f(x) = 3(x - 4)² + 5 ← expand the factor using FOIL

     = 3(x² - 8x + 16) + 5 ← distribute by 3 and simplify

     = 3x² - 24x + 48 + 5

     = 3x² - 24x + 53 ← in standard form

Answer:

x=31.6

Im not sure since i have not taken a trig course yet, but i know the basics:

Tangent is opposite over adjacent, and in respect to this angle, (31 degrees) the opposite side is 19 and adjacent is x.

Tan(31) = 19/x

Solve for x...use a calculator to find tan(31)

(Credit to google for the pic)

Joanna deposited $132000 and her interest amount is $359730.35

Step-by-step explanation:

Monthly deposit = $275

Interest = 5.6%

Time = 40 years

After 40 years her account balance = $491730.35

If she deposit $275 monthly then after 40 years she will have deposited ,

= 275 x 12 x 40

= $132000

The remaining is her interest amount.

Interest amount = 491730.35 - 132000

= $359730.35

Joanna deposited $132000 and her interest amount is $359730.35

Answer:

3.99

Step-by-step explanation:

I = PRT

I = 6.65 x .10 x 6

I = 3.99

Answer:

3.99

Step-by-step explanation:

Answer:

Wayne has 10.05 gallons left.

Step-by-step explanation:

16 3/4 times 2/5 is 6.7

16 3/4 minus 6.7 is 10.05

Wayne has 327/20 gallons of fuel left in his car.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.The number on the bottom of the line is called the denominator.

Now it is given that,

Amount of fuel in the car = 16 3/4 gallons = 67/4 gallons

Amount of fuel used = 2/5 gallons

Therefore,

Amount of fuel left in the car = Amount of fuel in the car - Amount of fuel used

⇒ Amount of fuel left in the car = 67/4 - 2/5

⇒ Amount of fuel left in the car = 327/20 gallons

Thus, Wayne has 327/20 gallons of fuel left in his car.

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Answer:

(3b + c)(a - 2b)

Step-by-step explanation:

Given

3ab - 6b² - 2bc + ac ← Rearranging

= 3ab + ac - 6b² - 2bc (factor the first/second and third/fourth terms )

= a(3b + c) - 2b(3b + c) ← factor out (3b + c) from each term

= (3b + c)(a - 2b)

Answer:

(a-2b)(3b-c)

Step-by-step explanation:

3ab-6b^2-2bc+ac

Let's rearrange

3ab+ac-6b^2-2bc

Let's factorise

a(3b+c)-2b(3b+c)

(a-2b)(3b+c)

Since the answer cannot be solved further

The answer is (a-2b)(3b+c)

Answer:

is it 57

Step-by-step explanation:

Answer:

x = 57

Step-by-step explanation:

x and 57° are vertical angles and congruent, thus

x = 57

Answer:

The fraction increase by ( [tex]0.047=4.7\:\%[/tex] ) if its numerator is

increased by 25% and its denominator is increased by 20%.

Step-by-step explanation:

As

[tex]100\%\mathrm{\:in\:fractions}=\:1[/tex]

[tex]25\%\mathrm{\:in\:fractions}=\:\frac{1}{4}[/tex]

[tex]20\%\mathrm{\:in\:fractions}=\frac{1}{5}[/tex]

so

Increase in 25% means

[tex]100\%\:+25\%\:=\frac{5}{4}[/tex]    

Increase in 20% means

[tex]100\%\:+20\%\:=\frac{6}{5}[/tex]

Thus the fraction becomes

[tex]\:\frac{\frac{5}{4}\times \:n}{\frac{6}{5}\times \:d}[/tex]                  

[tex]=\frac{\frac{5}{4}n}{\frac{6d}{5}}[/tex]

[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times \:d}{b\times \:c}[/tex]

[tex]=\frac{5n\times \:5}{4\times \:6d}[/tex]

[tex]=\frac{25n}{24d}[/tex]

[tex]=1.0417\left(\frac{n}{d}\right)[/tex]

[tex]=1\left(\frac{n}{d}\right)+0.047\left(\frac{n}{d}\right)[/tex]

As

[tex]0.047=4.7\:\%[/tex]

Therefore, the fraction increase by ( [tex]0.047=4.7\:\%[/tex] ) if its numerator is

increased by 25% and its denominator is increased by 20%.

Answer:

D

Step-by-step explanation:

When reflecting points across the x axis, and x coordinate remains the same and y-coordinates become the opposite of the original.

Answer:

it is D

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

Since 1/2 times the base length times the height equals the area, just work your way backwards to get the answer!

It looks like this

(1/2)8 * h = 24

First multiply 1/2 by 8 to get 4

then divide 4 out of both sides so that h = 6!

Thank me later :)

Answer:

6 is the answer

Step-by-step explanation:

Answer:

Option C, (2, 6)

Step-by-step explanation:

Step 1:  Find the solution

They intersect at the x-value 2 and the y-value 6.

So... the answer is (2, 6)

Answer: Option C, (2, 6)

Answer:

Yes, she has reached her goal.

Step-by-step explanation:

I know this because you have to multiply 1/6 by 13 to get 13/6, which is equal to 2 1/6. Since 2 1/6 is greater than 2, she has reached her goal.

Equation: 1/6×13= 2 1/6

Comparing statement: 2 < 2 1/6

Answer:

The y intercept is 6 and the slope is -3.

Please see the attached graph.

Answer:

Logan has the greater probability of winning

Step-by-step explanation:

Colton=1/20

=0.05

So the probability of Colton is 0.05

Logan=15%

=15/100

=0.15

So the probability of Logan is 0.15

When comparing the two,it was observed that the Logan has greater probability of winning

Answer:

c

Step-by-step explanation:

your slope will always be infront of x

That is true, you multiply the length by the width in a rectangle, and you do the same in a square.

Answer:

The correct option is;

c. Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.

Step-by-step explanation:

Here we have the values

μ = 275 mL

275.4

276.8

273.9

275

275.8

275.9

276.1

Sum = 1928.9

Mean (Average), = 275.5571429

Standard deviation, s = 0.921696159

We put the null hypothesis as H₀: μ₁ = μ₂

Therefore, the alternative becomes Hₐ: μ₁ ≠ μ₂

The t-test formula is as follows;

[tex]t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}[/tex]

Plugging in the values, we have,

Test statistic = 1.599292

[tex]t_{\alpha /2}[/tex] at 7 - 1 degrees of freedom and α = 0.05 = ±2.446912

Our p-value from the the test statistic = 0.1608723≈ 0.1609

Therefore since the p-value = 0.1609 > α = 0.05, we fail to reject our null hypothesis, hence the evidence suggests that the mean does not differ from 275 mL.

Answer:

Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.

Step-by-step explanation:

I took the quiz and got it right

Answer:

The waitress who received 20% of $20 gets a larger tip.

The waitress who received 20% of $20 gets $4.00 tip, and the waitress who received 15% of $25 gets a tip of $3.75

Step-by-step explanation:

To get 15% of 25, you multiply it by .15, giving you your answer.

To get 20% of 20, you multiple it by .20, giving you your answer.

Answer:

the second waiter gets a larger tip by $0.25

Step-by-step explanation:

15% of $25 is $3.75

the first waiter only got a $3.75 tip.

20% of $20 is $4

the second waiter got a $4 tip

the second waiter got $0.25 more than the first.

i hope this helps! :)

Answer:

8/5

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

    = (4- -4)/(1 - -4)

   = (4+4)/(1+4)

   =8/5

Answer: answer is 8/5

Step-by-step explanation:

--------------------------------------------------------

t + 5 + 3t = 1

Group like terms:

t+3t+5= 1

Add similar elements:

4t+5=1

Subtract 5 from both sides:

4t+5-5 = 1-5

Simplify:

4t= -4

Divide both sides by 4:

4t/4 = -4/4

Simplify:

t= -1

Your Answer Is t= -1

plz mark me as brainliest :)

Answer:

  $107,000

Step-by-step explanation:

Austin's salary in his 19th year will include his base pay and 18 raises:

  $80,000 + 18×$1500 = $107,000

Austin's salary in his 19th year would be $107,000.

Quotient=4x+5

Remainder=4

hope this will help u..

Answer: quotient =4x+5

remainder =4

Step-by-step explanation:

Looking at the diagram below

Quotient =4x+5

Remainder =4

Answer:

The range is -16.3

Step-by-step explanation:

The range is the highest number minus the lowest number and if we take a look at this data -5, 0.7, -1.9, 3.5, -9.2, 7.1, -0.6 ,-8.7 ,2.2 ,0.6, we can see that the lowest value is -9.2 and the highest value is 7.1, so we have to minus the lower value from the higher value

-9.2 - 7.1 = -16.3

The range is -16.3

Answer:

35 Meters

Step-by-step explanation:

Ratio is 12

What I mean by that is 2 turns into 24 because you multiply 12 to it. Same thing for 420, except for the fact that you divide it (working backwards). So 420 divided by 12 equals 35:)  Enjoy your day

Answer:

the answer is 35 meters.

Answer:

see attached

Step-by-step explanation:

Each cube root or square root lies:

∛800: Between 2 and 3

∛101: Between 4 and 5

∛90: Between 4 and 5

∛20: Between 2 and 3

√7: Between 2 and 3

√20: Between 4 and 5

√90: Between 9 and 10

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Here are the steps to find whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10:

Start with the first cube root or square root, ∛800.

Estimate the value of the root.

For ∛800, we can estimate that it's between 8 and 9, since 8 cubed is 512 and 9 cubed is 729.

So, ∛800 must be somewhere in between.

Determine which range the estimated value falls into.

Since 8 is between 2 and 3, ∛800 must also be between 2 and 3.

Repeat the process for the remaining cube roots and square roots, using the same ranges.

Here are the results:

∛800: Between 2 and 3

∛101: Between 4 and 5

∛90: Between 4 and 5

∛20: Between 2 and 3

√7: Between 2 and 3

√20: Between 4 and 5

√90: Between 9 and 10

Thus,

Four of the roots lie between 2 and 3, two lies between 4 and 5, and one lies between 9 and 10.

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Answer:

The linear equation is consistent

Step-by-step explanation:

X+y=14....(1)

X-y=4....(2)

Add (1) and (2)

2x=28

Divide both sides by 2

x=14

Substitute the value for x into (1)

14+y=14

Substrate 14 from both sides

y=0

So the linear equation is consistent