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4 years ago

Name the algebraic property demonstrated in the example below: x ⋅ y ⋅ z = y ⋅ x ⋅ z

1 answer:

6 0

The algebraic property is called here commutativity :

<span>x ⋅ y ⋅ z = y ⋅ x ⋅ z | ÷z (We divide by z)
</span>

→ x ⋅ y = y ⋅ x → <span>That means you can switch ( = commute) factors anyway, the product will remain the same.</span>

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What is the common ratio for this geometric sequence 3,12,48,192,... A 16 B. 3 C. 4 D. 9

hram777 [196]

Answer:

Step-by-step explanation:

The common ratio is found by taking the second term and dividing by the first term

12/3 = 4

We can check by taking the third term and dividing by the second

48/12 = 4

The common ratio is 4

3 0

3 years ago

Omg someone pleaseeee help me!!! 30 points!!!

Crank

add the volume of a cone, V=1/3 pi times radius squared times h. The volume of the cone is V=355. Then you add the volume of the cone to the volume of the cylinder. the formula for the volume of a cylinder is V= pi times radius squared times h. So the volume of the cylinder will be V=923. if you add those two together the overall volume is 1,278.

8 0

4 years ago

Ellie has 4 liters of punch for the party she needs to measure out servings in milliliters

9966 [12]

Answer:

4 liters = 4000 milliliters

Ellie have 4000 milliliters of punch

Step-by-step explanation:

Given that Ellie has 4 liters of punch and needs to measure out serving in milliliters.

This is a conversion problem, we need to convert;

4 liters to milliliters

1 liter is equivalent to 1000 milliliters

So,

4 liters will be equivalent to 4 × 1000 milliliters.

Therefore;

4 liters = 4000 milliliters

5 0

3 years ago

The mean number of hours of part-time work per week for a sample of 317 teenagers is 29. If the margin of error for the populati

Shtirlitz [24]

Answer:

The degrees of freedom are given by:

$df=n-1=317-1=316$

And replaicing we got:

$29-2.1=26.9$

$29+2.1=31.1$

The 95% confidence interval would be between 26.9 and 31.1

Step-by-step explanation:

Information given

$\bar X= 29$ represent the sample mean

$\mu$ population mean

s represent the sample standard deviation

$ME= 2.1$ represent the margin of error

n represent the sample size

Solution

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And this formula is equivalent to:

$\bar X \pm ME[/te]xThe degrees of freedom are given by:[tex]df=n-1=317-1=316$

And replaicing we got:

$29-2.1=26.9$

$29+2.1=31.1$

The 95% confidence interval would be between 26.9 and 31.1

7 0

4 years ago

Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 44 inches. The width

PilotLPTM [1.2K]

Answer:

Total fringe needed = 132 inches

Step-by-step explanation:

P.S - The exact question is -

Given - Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 44 inches. The width is one half the length.

To find - How much fringe does Alejandra need?

Proof -

Total fringe needed = Perimeter of the rectangle.

Now,

We know that,

Perimeter of the Rectangle = 2(Length + Width)

Now,

Given that,

Length = 44 inches

Width = one half the length

= $\frac{1}{2}$ × 44 = 22 inches

⇒Width = 22 inches

∴ we get

Perimeter of the Rectangle = 2(44 + 22)

= 2(66) = 132 inches

⇒Perimeter of Rectangle = 132 inches

∴ we get

Total fringe needed = Perimeter of the rectangle = 132 inches

⇒Total fringe needed = 132 inches

5 0

3 years ago