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Maru [420]
3 years ago
8

What expression is equivalent (2 ½ x 2 ¾)²

Mathematics
1 answer:
Alborosie3 years ago
3 0
2.5x2.75
= 6.875
6.875^2=47.27
You might be interested in
Consider the following data: x −4−4 −3−3 −2−2 −1−1 00 P(X=x)P(X=x) 0.20.2 0.30.3 0.10.1 0.20.2 0.20.2 Copy Data Step 4 of 5 : Fi
AysviL [449]

Answer:

P(x\geq -1) = 0.4

Step-by-step explanation:

We are given the following in the question:

x:                −4       −3       −2      −1       0

P(X=x):        0.2      0.3      0.1     0.2     0.2

We have to evaluate

P(x\geq -1)

Since it is a discrete probability distribution as

\displaystyle\sum P(X=x_i) = 0.2 + 0.3 + 0.1 + 0.2 + 0.2 = 1

We can evaluate the probability as:

P(x\geq -1) = P(x = -1 + P(x = 0)\\P(x\geq -1) = 0.2 + 0.2\\P(x\geq -1) = 0.4

Thus, 0.4 is the require probability.

4 0
3 years ago
I drove 380 miles using 14 gallons of gas. At this rate, how many gallons of gas would I need to drive 418 miles?
ser-zykov [4K]

Answer:

15.4 gallons .

Step-by-step explanation:

The rate of gas used  = 380/14 = 27.14 gallons per gallon.

So for each gallon used  you drive 27.14 miles.

So number of gallons used when travelling 418 miles = 418/27.14

= 15.4 gallons .


8 0
3 years ago
Read 2 more answers
What's 5m²+5m+9m+8m²-m²= plss​
NISA [10]

Answer:

12m^2+14m

Step-by-step explanation:

The "^means exponet" Hope I made your day

:)

6 0
3 years ago
Read 2 more answers
What is the area of a parallelogram if is length is x+1 and height is x+8?
Irina-Kira [14]

Answer:

8 square units

Step-by-step explanation:

x + 1 = 0

x = -1

x + 8 = 0

x = -8

Area = (-1) * (-8) = 8 square units

3 0
3 years ago
Please help with the question in the picture!
Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

<u>METHOD - I</u>

<u><em>Sin² C + Cos² C = 1</em></u>

Cos² C = 1 - Sin² C

Cos² C = 1 - \frac{9}{25}

Cos² C = \frac{25 - 9}{25}

Cos² C = \frac{16}{25}

Cos C = \sqrt{\frac{16}{25} }

Cos C = \frac{4}{5}

As we know that

Tan C = \frac{Sin C}{Cos C }

<em>Tan C = \frac{\frac{3}{5} }{\frac{4}{5} }</em>

<em>Tan C = \frac{3}{4}</em>

<u>METHOD - II</u>

Given Sin C = \frac{3}{5} = \frac{Height}{Hypotenuse}

therefore,  

AB ( Height ) = 3; BC ( Hypotenuse) = 5

<em>∵ ΔABC is Right triangle.</em>

<em>∴ By Pythagorean Theorem-</em>

<em>AB² + AC² = BC²</em>

<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>

<em>AC² = 5² - 3²</em>

<em>AC² = 25 - 9</em>

<em>AC² = 16</em>

<em>AC  ( Base) = 4</em>

<em>Since, </em>

<em>Tan C = \frac{Height}{Base}</em>

<em>Tan C = \frac{AB}{AC}</em>

<em>Hence Tan C = \frac{3}{4}</em>

<em />

4 0
3 years ago
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