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Drupady [299]
3 years ago
9

Which expressions are differences of squares? Select each correct answer.

Mathematics
1 answer:
Travka [436]3 years ago
4 0
First question: 1st and 3rd expression are the answer.
2nd question: I'm not sure
3rd question: (2p+9)^2
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xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl
Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\  \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}

Step 2:

Find the standard deviation.

Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)=4(0.25)+1(0.05)+0(0.15)+1(0.55)=1+0.05+0+0.55=1.60

Thus, the standard deviation is 1.60

Answer:

1.60

8 0
1 year ago
A cake recipe calls for 550 grams of flour. About how many pounds of flour do you​ need? Use the conversion factors StartFractio
geniusboy [140]

The question is:

A cake recipe calls for 550 grams of flour. About how many pounds of flour do you​ need? Use the conversion factors (1 ounce)/(28.4 grams) and (1 pound)/(16 ounces).

Answer:

About 1.2 pounds of flour is needed.

Step-by-step explanation:

Given that the cake recipe calls for 550 grams, we want to determine about how many pounds of flour we need.

This simply means we want to convert 550 grams to pounds.

First, we were given (1 ounce)/(28.4 grams)

This implies that

1/28.4 = x/550 ..............................(1)

Where x is 550 grams in ounce.

Solving (1)

28.4x = 550

=> x = 550/28.4

≈ 19.3662

That is 550 grams is equal to 19.3662 ounce

Next, we are given the ratio (1 pound)/(16 ounce). We then convert 19.3662 ounce to pound

Let y be 19.3662 ounce in pound

=> 1/16 = y/19.3662

16y = 19.3662

y = 19.3662/16

≈ 1.2

That is 19.3662 ounce is equal to 1.2 pounds.

Therefore, 550 grams is equal to 1.2 pounds, and it is the amount of flour needed.

4 0
3 years ago
Please help me with this question<br> Picture included
svetlana [45]
<span>1/4+3/4+3 3/4+1 1/2+5 1/2, which is 11 3/4 ounces.</span>
7 0
3 years ago
When possible, the best way to esatblish that an observed association is the result of a cuase and effect relation is by means o
vovangra [49]

Answer:

The answer is a well designed experiment.

Step-by-step explanation:

When possible, the best way to establish that an observed association is the result of a cause and effect relation is by means of - well designed experiment.

Cause and effect relation is a relation between events, where one is the result, due to the occurrence of others. A well designed experiment takes place when we consider the cause and effect of events.

4 0
3 years ago
WILL MARK BRAINLIEST FOR CORRECT ANSWER!
kompoz [17]

Answer: the third option is the correct answer

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is 16√3

With m∠30 as the reference angle,

the adjacent side of the right angle triangle is x.

the opposite side of the right angle triangle is y.

To determine x, we would apply

the cosine trigonometric ratio.

Cos θ, = adjacent side/hypotenuse. Therefore,

Cos 30 = x/16√3

√3/2 = x/16√3

x = √3/2 × 16√3 = 3 × 8

x = 24

To determine y, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 30 = y/16√3

1/2 = y/16√3

y = 16√3 × 1/2

y = 8√3

4 0
3 years ago
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