A cuboid measures 6cm by 3cm by 2cm

Draw a net of the cuboid

Answer:

The null hypothesis is [tex]H_0: \mu = 13[/tex]

Step-by-step explanation:

Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch).

This means that, as we are going to test the inflation levels before and after the game, we test at the null hypothesis that it is of 13 psi, that is:

[tex]H_0: \mu = 13[/tex]

Answer:

5. 4186.67 in³

6. 1436.03 ft³

7. 3052.08 cm³

Step-by-step explanation:

5. Determination of the volume of the sphere.

Radius (r) = 10 in

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 10³

V = 4/3 × 3.14 × 1000

V = 4186.67 in³

6. Determination of the volume of the sphere.

Radius (r) = 7 ft

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 7³

V = 4/3 × 3.14 × 343

V = 1436.03 ft³

7. Determination of the volume of the sphere.

We'll begin by calculating the radius. This can be obtained as follow:

Diameter (d) = 18 cm

Radius (r) =?

r = d/2

r = 18/2

r = 9 cm

Finally, we shall determine the volume of the sphere. This can be obtained as follow:

Radius (r) = 9 cm

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 9³

V = 4/3 × 3.14 × 729

V = 3052.08 cm³

Answer:  x = 3

Step-by-step explanation:

Subtract 1

 2^x = 8

Take the log.

 x·log(2) = log(8)

Divide by the coefficient of x.

 x = log(8)/log(2) = log₂(8)

We know that 8 = 2³, so log₂(8) = 3.

 x = 3

_____

If your equation is ...

 2^(x+1) = 9

then

 x + 1 = log(9)/log(2)

 x = log(9)/log(2) -1 . . . . . . change of base formula can be used, but isn't helpful unless you have a calculator that computes log₂(9).

 x ≈ 2.170

The value of x from the logarithmic equation is x = 3

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

2ˣ + 1 = 9   be equation (1)

On simplifying the equation , we get

Subtracting 1 on both sides of the equation , we get

2ˣ = 8

Now , taking logarithm on both sides of the equation , we get

log ( 2 )ˣ = log ( 8 )

From the laws of logarithm , we can simplify

x log ( 2 ) = log ( 8 )

And , on further simplification , we get

x log ( 2 ) = log ( 2 )³

So , x log ( 2 ) = 3 log ( 2 )

Divide by log ( 2 ) on both sides of the equation , we get

x = 3

Hence , the value of x = 3

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Answer:

1st option (c = 15.00 + 3.50n)

Step-by-step explanation:

Answer:

A. c=15.00+3.50n

Step-by-step explanation:

We can find how much a single charm costs by taking the 2nd term and subtracting it by the first.

22.00-18.50=3.50

A charm is $3.50.

We can also find the initial price of the bracelet by taking the first term and subtracting off one charm.

18.50-3.50=15.00

The bracelet by itself is $15.00

Knowing n goes up by a rate of 3.50 and the initial price is 15.00, we can find the answer is

A. c=15.00+3.50n

Answer:

169 Pounds

Step-by-step explanation:

...

Answer:

11 or 2, it depends on how you think abt it

Answer:

2

Deedederffetfrerggrrrggtrrttt

Answer:

15 square units

Step-by-step explanation:

If you were to cut off the bottom triangle (separated by the dotted line), and put it on top of the other triangle, you would get a rectangle.

All you have to do is length x height

5 x 3 = 15

Answer:

B

Step-by-step explanation:

C is 31, so we add a negative to make it the opposite.

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The amount of money Cynthia made is the product of the number of lawns she mowed and 20 minus 3.

1.01 is the growth factor that would be needed to provide 1/12th of 12% interest each month.

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

Given, the growth factor would be needed to provide 1/12th of 12% interest each month

Remember the formulas:  

Increasing: y = a (1 + r)ˣ  

Decreasing: y = a(1 - r)ˣ

(1 ± r is the growth factor, while r is the growth rate)

In our case,

since it is an interest It will show the growth rate

Growth rate = 12% of 1/12

Growth rate = 1%

Growth rate = 0.01

Thus,

Growth factor  = 1 + r

Growth factor  = 1 + 0.01

Growth factor  = 1.01

Therefore, The growth factor will be 1.01.

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Answer:

Step-by-step explanation:

(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)

5a + 18 + 48 - a + 8a - 30 = 180

12a + 36 = 180

12a = 180 - 36

a = 144/12

a = 12

therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.

Therefore, the size of the smallest angle is 36 degree

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

10x + 34 = 144

10x = 110

x = 11 weeks

Answer:

true

Step-by-step explanation:

They are dependent because the outcome of the event affects them

Answer:

See attachment for plot

Step-by-step explanation:

Given

[tex]y =2x[/tex]

[tex]R =+2[/tex] --- increment in the rate

First, we need to model the new rate

A linear equation is:

[tex]y = mx + b[/tex]

Where

[tex]m = rate[/tex]

Compare [tex]y =2x[/tex] and [tex]y = mx + b[/tex]. we have:

[tex]m =2[/tex]

The above represents the previous rate.

The new rate:

[tex]R =+2[/tex]

Rewrite as:

[tex]R = m+2[/tex]

[tex]R = 2+2[/tex]

[tex]R = 4[/tex]

So, the model is:

[tex]y = Rx[/tex]

[tex]y = 4x[/tex]

The plot at 1 and 2 minutes

When [tex]x = 1[/tex]

[tex]y = 4x = 4 * 1 = 4[/tex]

When [tex]x = 2[/tex]

[tex]y = 4x = 4 * 2 = 8[/tex]

So, we have:

[tex](x_1,y_1) =(1,4)[/tex]

[tex](x_2,y_2) =(2,8)[/tex]

Whether she moves backwards or forward, the distance covered remains the same

See attachment for plot

Answer:

1/4

Step-by-step explanation:

To find probability, multiply the probability of one roll times the probability of the second roll.

A die usually have 6 numbers so ill assume it has that.

1/2 or 3/6 of the sides are odd. So multiply 1/2*1/2 to get 1/4.

Answer:

V = 502.4 cm³

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cylinder Formula: V = πr²h

Step-by-step explanation:

Step 1: Define

r = 4 cm

h = 10 cm

Step 2: Find Volume

Answer:

24427 correct to the nearest 1000? 24000.

Step-by-step explanation:

So 24000 is your answer.

Answer:

Using the Pythagoras theorem, we have:

[tex]c = \sqrt{a {}^{2} + b {}^{2} } [/tex]

with a = 5, b = 6, we have:

[tex]c = \sqrt{5 {}^{2} + 6 {}^{2} } = \sqrt{61} [/tex]

Answer:

The higher the interquartile range the bigger the variance as it the difference between the 0.25 and 0.75 quantiles. which basically means if the difference between the 25 percent and 75 percent is higher then there is more variety as they are further away.

Step-by-step explanation:

Which basically means if the difference between the 25 percent and 75 percent is higher then there is more variety as they are further away.

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The apple sample has a greater typical value or median.

The orange sample has a greater variability or spread.

No, it is not possible that the heaviest piece of fruit in the two samples was orange because the median weight of the orange sample is less than the median weight of the apple sample.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

1.

The apple sample has a greater typical value or median, which is 150 grams, compared to the orange sample which has a median of 130 grams.

2.

The orange sample has a greater variability or spread as indicated by the interquartile range (IQR) of 11 grams, which is larger than the IQR of the apple sample which is 8 grams.

3.

No, it is not possible that the heaviest piece of fruit in the two samples was orange because the median weight of the orange sample is less than the median weight of the apple sample.

The median is a measure of central tendency and it indicates that at least half of the oranges weigh less than 130 grams, while at least half of the apples weigh more than 150 grams.

Therefore, it is more likely that the heaviest piece of fruit is an apple, not an orange.

However, we cannot be certain about this without knowing the actual weights of all the apples and oranges in the samples.

Thus,

The apple sample has a greater typical value or median.

The orange sample has a greater variability or spread.

No, it is not possible that the heaviest piece of fruit in the two samples was orange because the median weight of the orange sample is less than the median weight of the apple sample.

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Answer:

27

32

27

Step-by-step explanation:

1) limit x->2 1/3[f(x)]^2= 27

2) limit x->2 3f(x)+5= 32

3) limit x->2 [f(x)]3/2= 27/2

"A limit is the value that a function approaches as the input approaches some value."

If limit f(x) = m and constant 'a',

limit a (f(x)) = a × m

limit (f(x))^n = (m)^n

limit (a) = a

limit (f(x) + a) = m + a

Given: limit x->2 f(x)=9.

We need to evaluate each limit.

1) limit x->2 1/3[f(x)]^2

⇒ [tex]\lim_{x \to 2} \frac{1}{3} (f(x))^2[/tex]

= [tex]\frac{1}{3} \lim_{x \to 2} (f(x))^2[/tex]

= [tex]\frac{1}{3} (\lim_{x \to 2} f(x))^2[/tex]

= [tex]\frac{1}{3} \times (9)^2[/tex]

= [tex]\frac{81}{3}[/tex]

= 27

2) limit x->2 3f(x)+5

⇒ [tex]\lim_{x \to 2} (3f(x)+5)[/tex]

= [tex]\lim_{x \to 2} 3f(x)+ \lim_{x \to 2} 5[/tex]

= [tex]3\lim_{x \to 2} f(x) + 5[/tex]

= [tex](3 \times 9)+5[/tex]

=[tex]\bold{32}[/tex]

3) limit x->2 [f(x)]3/2

⇒ [tex]\lim_{x \to 2} (f(x))\frac{3}{2}[/tex]

= [tex]\frac{3}{2} \times (\lim_{x \to 2} f(x))[/tex]

= [tex]\frac{3}{2} \times 9[/tex]

= 27/2

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Answer:

no solution

Step-by-step explanation:

Given

2(x + 4) - 6 = 2(x - 8) + 1 ← distribute and simplify both sides

2x + 8 - 6 = 2x - 16 + 1

2x + 2 = 2x - 15 ( subtract 2 from both sides )

2x = 2x - 17 ( subtract 2x from both sides )

0 = - 17 ← not possible

This indicates the equation has no solution

Answer:

10 + 10 + 10 = 10 x 3

                   = 30

Answer:

1.cuboid

2. 6

3. rectangle

4.

5.

Answer:

Step-by-step explanation:

x = 4

Substitute x and calculate:

Answer:

scale = 1 in: 5 ft

         = 1inch x 5 5/8  = 5.625

              5 ft x 5 5/8    28.125 ft

The actual height of the house is 28.125 ft