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Usimov [2.4K]
3 years ago
9

what number should be added to the expression x^2 + 10x to change it into a perfect square trinomial?​

Mathematics
2 answers:
Tamiku [17]3 years ago
6 0

Answer:

25

Step-by-step explanation:

In case anyone was confused the answer is 25. took the test.

Annette [7]3 years ago
3 0

Answer:

\large\boxed{5^2=25}

Step-by-step explanation:

\text{Perfect square:}\ (a+b)^2=a^2+2ab+b^2\\\\x^2+10x\\\Downarrow\\x^2+2(x)(5)\\\Downarrow\\x^2+2(x)(5)+5^2=(x+5)^2

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one-third of a number x is equal to 22 less than the number. Write and solve an equation to find the number.
Debora [2.8K]

1  \div 3x = 22 - x
3 0
3 years ago
A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and select
podryga [215]

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.626

The confidence interval is:

\overline{x} \pm M

In which \overline{x} is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that \overline{x} = 6.2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

\overline{x} \pm M = 6.2 \pm 2.626(0.21)

And the correct answer is given by option c.

5 0
3 years ago
Find the product. (do not use spaces in your answer.)<br><br> d ^j · d ^k
bezimeni [28]
d^j\cdot d^k=d^{j+k}
3 0
3 years ago
Read 2 more answers
-3/4 + (-3/4)<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B%20-%203%7D%7B4%7D%20
nika2105 [10]

Firstly, since these two fractions have the same denominator, add the numerators up: \frac{-6}{4}

While it appears that the answer is -6/4, you can further simplify it by dividing the numerator and denominator by 2: -\frac{6}{4}\div\frac{2}{2}=-\frac{3}{2}

<u>Your answer is -\frac{3}{2}</u>

3 0
3 years ago
Need help with this math question
Y_Kistochka [10]

Answer:

23%

Step-by-step explanation:

There are 4 male and 3 female freshmen. Thus the total number of freshmen is 7.

On the other hand, we have 14 male students and 16 female students. Thus the total number of students is 30.

If a student is selected at random, the probability that the student is a freshman is;

( 7/30) * 100 = 23.33%

3 0
3 years ago
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