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iren [92.7K]
3 years ago
8

What is the product of (7x+3)^2

Mathematics
2 answers:
Natali [406]3 years ago
7 0

Answer:

49x² + 42x + 9

Step-by-step explanation:

Given

(7x + 3)²

= (7x + 3)(7x + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

7x(7x + 3) + 3(7x + 3) ← distribute both parenthesis

= 49x² + 21x + 21x + 9 ← collect like terms

= 49x² + 42x + 9

Firdavs [7]3 years ago
6 0
The answer is 49x^2 +42x+9
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The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls
kumpel [21]

Answer:

standard error = 1.63

Step-by-step explanation:

To calculate the standard error we need to know the standard deviation (σ) and the sample size (n) (see the attached formula).

To obtain the standard deviation we use the given sample variance of 77.4 years:

σ²= variance

Therefore:

σ = √77.4 = 8.8

Now we can calcuate the estimated standard error:

standard error = σ /√n = 8.8/√29 = 1.63

The standard error gives us an estimation about how far the mean of the sample is from the mean of the entire population, and in this case is 1.63.

7 0
3 years ago
Jenny thinks that the expression below is equal to x²-4. If you agree, show that she is correct. If you disagree, show that she
sergiy2304 [10]

Answer:

Jenny is wrong the correct answer is x²+ 4 - 4 x.

Step-by-step explanation:

Given that

(x-2)³∕x-2

(x-2)³∕(x-2) =(x-2) (x-2)²∕(x-2)

(x-2)³∕(x-2) = (x-2)²

As we know that

(a-b)² = a²+b² - 2 ab

So

(x-2)² = x²+ 2² - 2 ˣ 2 ˣ x =  x²+ 4 - 4 x

(x-2)² =  x²+ 4 - 4 x

It means that

(x-2)³∕(x-2) = (x-2)² =  x²+ 4 - 4 x

So Jenny is wrong the correct answer is x²+ 4 - 4 x.

8 0
3 years ago
Geometry help!! Find x and y.
MrRa [10]
The last answer is correct
x= 45 degrees
y= 10.9sqrt2
6 0
3 years ago
Read 2 more answers
Solve.<br> x<br> __<br> 2 = 7<br> ----------------------------------------<br> PLEASE HELP!
galina1969 [7]
\frac{x}{2} = 7\\\\\frac{x}{2} \times 2 = 7\times2\\\\\boxed{x=14}
5 0
4 years ago
In a normal distribution, what is the probability that a data value will fall below the 
Serga [27]

Answer:

A 99.96%

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is positive if the raw score is above the mean while the z score is negative if the raw score is below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ z=z-score,\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

The probability can be gotten from the normal distribution table. Therefore from the normal table:

P(z < 3.37) = 0.9996 = 99.96%

8 0
3 years ago
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