Is 4/12 closer to 0 , 1 or 1/2

Answer:

4 5/12

Step-by-step explanation:

Convert to mixed fraction 7/4 + 8/3

Find common denominator, 12

21/12 + 32/12

add numerators  (21+32)/12 = 53/12

reduce fraction 4 5/12

Given:

The measurement of 40 inches wide and 23 inches tall.

Required:

To find the diagonal measurement of the TV.

Explanation:

The diagonal measurement of the TV is

Final Answer:

The diagonal of TV is 46.1 inches.

Answer:

It's C because its 2 to the power of 5

Step-by-step explanation:

2x2x2x2x2

Answer:

adding the numbers

Step-by-step explanation:

yo mama

Answer: 11 + x

HOPE THIS HELPS

The volume of the rectangular, prism-shaped speaker is 455 cubic inches.

In three-dimensional space, prisms is a polyhedron where two ends are similar.

Given:

A stereo speaker in the shape of a rectangular prism has a height of 10 inches the length of the base of the stereo speaker is 6.5 inches and the width of the base is 7 inches.

The volume of the rectangular prism-shaped speaker,

= Length x width x height

= 10 x 6.5 x 7

= 455 cubic inches.

Therefore, the volume is 455 cubic inches.

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Answer:

Step-by-step explanation:

Answer

Question 3

Option A is correct.

Margin of Error = 0.071

Question 4

Option A is correct.

95% Confidence interval = 0.062 < p < 0.121

Explanation

Question 3

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

Now, here, we are given the confidence interval and asked to find the margin of error.

Sample Proportion = Population proportion = p

Let Margin of Error be E

Lower limit of confidence interval = p - E = 0.179

Upper limit of confidence interval p + E = 0.321

Now, we have a simultaneous equation

p - E = 0.179

p + E = 0.321

Add the two equations

2p = 0.179 + 0.321

2p = 0.5

Divide both sides by 2

p = 0.25

We can then solve for E

p - E = 0.179

0.25 - E = 0.179

E = 0.25 - 0.179

E = 0.071

Question 4

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = p = (33/362) = 0.0912

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 362 is obtained from the z-tables.

Critical value = 1.960

Standard error or deviation of the sample proportion = σₓ = √[p(p – 1)/n]

p = 0.0912

1 - p = 0.9088

n = sample size = 362

σₓ = √[(0.0912 × 0.9088)/362] = 0.0151

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.0912 ± (1.96 × 0.0151)

CI = 0.0912 ± 0.0297

95% CI = (0.062, 0.121)

95% Confidence interval = 0.062 < p < 0.121

Hope this Helps!!!

Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

Answer:

D

Step-by-step explanation:

integers are a whole number; a number that is not a fraction.

Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

Answer:

Step-by-step explanation:

Answer:

I) ∠2 and ∠5

Step-by-step explanation:

Answer:

You would put an open dot on both ends from -8 to 4 or just a distance of 12

Step-by-step explanation:

Answer:

g(-2)= -2 + 5 =3  ( here we chose the function g(x)= x+5 as x< 3)

Step-by-step explanation:

g(3)= is not defined ( function is defined for x<3 and x>3 but not x=3)

g(4) = 6-4=2 ( here we chose the function g(x)= 6-x as x> 3)

Two ways of solving:

1. Convert the fractions to decimals:

3/7 = 0.42857

3/5 = 0.6

0.42857 < 0.6

So 3/7 < 3/5

Second way is to rewrite the fractions with a common denominator:

3/7 = 15/35

3/5 = 21/35

Now compare the numerators:

15 < 21 so 3/7 < 3/5

Answer:

8

Step-by-step explanation:

56 shirts were sold, and including Mandy, 7 people sold them.

7 * x = 56

(7x)/7=56/7 (canceling out the 7 to get x alone)

x=8

So basically just 56 divided by 7

Step-by-step explanation:

0.000

ones, tenths, hundreths, thousandths

Refer to above when you get confused in the future! You got this! :)

2.

2a) 0.482

2b)0.18

2c)8.001

2d)0.008

2e)0.018

3. 58/100 = 0.58

Answer:

77

Step-by-step explanation:

Currently:

Talk to 8 customers per hour, work 8 hours, so:

Talk to 8*8 = 64 customers.

With the increase:

Has to increase by 20%, so 64 is multiplied by 1 + 0.2 = 1.2. Then

64*1.2 = 76.8

Rounding up, 77 is the answer.

Answer:

y = x - 2

Step-by-step explanation:

y = x + b

3 = 5 + b

y = x - 2

We can use the slope intercept form of a line.

y = mx+b where m is the slope and b is the y intercept

y = 1x +b

Substitute the point into the equation

3 = 1*5+b

3 = 5+b

Subtract 5 from each side

3-5 = 5+b-5

-2 =b

y = x-2

Answer:

Step-by-step explanation:  Simplify both sides of the equation.

0=−16t2+24

Step 2: Add 16t^2 to both sides.

0+16t2=−16t2+24+16t2

16t2=24

Step 3: Divide both sides by 16.

16t^2/16=24/16

t^2=3/2

Step 4: Take square root.

t=± √ 3/2

t=1.224745,−1.224745

a. The center of the circle is (-2, -1).

b. The radius of the circle is √136.

c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:

Midpoint = ((-7 + 3)/2, (-4 + 2)/2)

= (-4/2, -2/2)

= (-2, -1)

Therefore, the center of the circle is at the coordinates (-2, -1).

b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.

Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)

Using the distance formula:

Distance = √[(3 - (-7))^2 + (2 - (-4))^2]

= √\([(3 + 7)^2 + (2 + 4)^2]\)

= √\([10^2 + 6^2\)]

= √[100 + 36]

= √136

Therefore, the radius of the circle is √136.

c. The equation for a circle with center (h, k) and radius r is given by:

\((x - h)^2 + (y - k)^2 = r^2\)

In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:

\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)

\((x + 2)^2 + (y + 1)^2 = 136\)

Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

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Answer:

-12

Step-by-step explanation:

F(T)=2(1×+1)

2(1×+1)= x2 + 2, and since we were trying to find what f is, we know know f=2 because of the equation 2(1×+1), so, 2(-6)= -12

Answer:

3x + 12 + x = 4x + 12 becuase 3x and x are like terms so you can add them

4(3 + x) = 12 + 4x because 4 times 3 is 12 and 4 times x is 4x so you add them to get 12 + 4x which can be rearranged to equal 4x + 12

So in short: 3x + 12 +x is equivalent to 4(3+x)

Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

The APY for super apple sauce APY is 13.4%, markers inc APY is 37.9%. The total return for super apple sauce is 137%, markers inc is 400%.

Interest refers to the amount of money that is charged or earned in relation to a principal amount of money.

To calculate the APY (annual percentage yield) for each investment, we need to use the following formula:

APY = (1 + r/n)^n - 1

1) For Super Apple Sauce, the return is $135 for every $57 invested in 5 years. Annual interest rate of:

r = (135/57)^(1/5) - 1 ≈ 0.134

Since the interest is compounded yearly, n=1. Using the formula, we get:

APY = (1 + 0.134/1)^1 - 1 ≈ 0.134 or 13.4%

Therefore, the APY for Super Apple Sauce is approximately 13.4%.

2) For Markers Inc., the return is $5 for every $1 invested in 5 years. Annual interest rate of:

r = (5/1)^(1/5) - 1 ≈ 0.379

Since the interest is compounded yearly, n=1. Using the formula, we get:

APY = (1 + 0.379/1)^1 - 1 ≈ 0.379 or 37.9%

Therefore, the APY for Markers Inc. is approximately 37.9%.

The total return for each investment:

Total Return = (Ending Value - Beginning Value) / Beginning Value

3) For Super Apple Sauce, the beginning value is $57 and the ending value is $135, so the total return is:

Total Return = ($135 - $57) / $57 ≈ 1.37 or 137%

Therefore, the total return for Super Apple Sauce is approximately 137%.

4) For Markers Inc., the beginning value is $1 and the ending value is $5, so the total return is:

Total Return = ($5 - $1) / $1 = 4 or 400%

Therefore, the total return for Markers Inc. is 400%

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Answer: (‑(15*​x))+​39

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

i hope this helps :D

Identify the terminal point for a 60° angle in a unit circle.

Terminal point definition the final destination or station of a bus or rail journey | Meaning, pronunciation, translations, and examples.

for the terminal point for a 60-degree angle in a unit circle.

Therefore the correct option is D.

Therefore, the 1/3 and root(3)/2.

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