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bezimeni [28]
2 years ago
15

Giving brainliest !! *easy*

Mathematics
1 answer:
Zepler [3.9K]2 years ago
4 0

Answer: 49

Step-by-step explanation:

The missing constant term in the perfect square is 49.

x^2 + 14x + 49

We need a squart root of something to make the factor add up equal to 14x. If it's a perfect square, we could divide 14 by 2, 14/2 = 7, and we multiply 7^2, we get 49, which is a perfect square.

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5.According to the Bureau of Labor Statistics, in calendar year 2000, the average duration of unemployment was 12.7 weeks, with
Ket [755]

Answer:

Probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks is 0.83144 .

Step-by-step explanation:

We are given that according to the Bureau of Labor Statistics, in calendar year 2000, the average duration of unemployment was 12.7 weeks, with a standard deviation of 0.3 weeks.

Let X = randomly selected individual who was unemployed in 2000

Since distribution is approximately normal, so X ~ N(\mu=12.7,\sigma^{2} = 0.3^{2})

The z score probability distribution is given by;

                 Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 12.7 weeks

            \sigma = population standard deviation = 0.3 weeks

So, the probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks is given by = P(12 < X < 13) = P(X < 13) - P(X <= 12)

P(X < 13) = P( \frac{X-\mu}{\sigma} < \frac{13-12.7}{0.3} ) = P(Z < 1) = 0.84134

P(X <= 12) = P( \frac{X-\mu}{\sigma} < \frac{12-12.7}{0.3} ) = P(Z < -2.33) = 1 - P(Z <= 2.33) = 1 - 0.99010

                                                                                                   = 0.0099

Therefore, P(12 < X < 13) = 0.84134 - 0.0099 = 0.83144 .

4 0
3 years ago
Sergio bought 1 yard of yellow yarn. he used 21 inches of this yarn for a project. what part of the yarn that he bought did he u
Eduardwww [97]
About 66 percent of the yarn
4 0
3 years ago
Please help I will give brainliest please show work and find the volume of this odd looking pyramid
JulsSmile [24]

Answer:

206  2/3 ft³

Step-by-step explanation:

The volume of this solid is given by V = (1/3)(base area)(height).

Here, V = (1/3) (62 ft²) (10 ft ) = 206  2/3 ft³

5 0
3 years ago
If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to
Artemon [7]

Answer:

The First one

Step-by-step explanation:

Just divide r/s and substitute x by 6.

3 0
3 years ago
Read 2 more answers
Using the quadratic formula to solve x2 = 5 – x, what are the values of x?
Ivenika [448]

Answer:

x²=5-x

x²+x-5=0

1x²+1x²-5=0

[ax²+bx²+c=0]

∆=b²-4ac

∆=1²-4(-5)(1)=1+20=21

x=(-b±√∆)/2a

x=(-1±√21)/2

meaning:

x=(-1+√21)/2 or x=(-1-√21)/2

4 0
1 year ago
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