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djverab [1.8K]
2 years ago
7

Help plz:)))I’ll mark u Brainliest

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
8 0

Answer:

11, 21, 31

Step-by-step explanation:

In a triangle with side lengths a, b, and c, any two sides must have a sum larger than the third.

Using this rule, the possible side lengths out of these choices that could form a triangle are:

21,

11,

31

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A statement of an employee’s biweekly earnings is given below. What is the employee’s gross pay?
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The employee's gross pay
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3 years ago
Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76
yKpoI14uk [10]

Answer:

12 cm²

Step-by-step explanation:

Length of rectangle = 5.6 cm

Width of rectangle = 2.1 cm

Area of rectangle = Length of rectangle×Width of rectangle

⇒Area of rectangle = 5.6×2.1

⇒Area of rectangle = 11.76 cm²

11.76 has 4 significant figures in order to write this term in 2 significant terms we round of the term

The last digit in the decimal place is 6. Now, 6≥5 so we round the next digit to 8 we get

11.8

Now the last digit in the decimal place is 8. Now, 8≥5 so we round the next digit to 2 we get

12

∴ Hence the area of the rectangle when rounded to 2 significant figures is 12 cm²

5 0
3 years ago
Calculate the frequency in hertz of photons of light with energy of 8.10 × 10-19 J.
stira [4]
The Planck–Einstein relation E=hv gives that E, the photon energy, is equal to h, Planck's constant, times <span>ν</span>, the frequency.

We can solve the equation in terms of frequency to get
v= \dfrac{E}{h}

We substitute our given energy, 8.10 \times 10^{-19} J, and Planck's constant, 6.626 \times 10^{-34} Js.

v= \dfrac{8.10 \times 10^{-19} J}{6.626 \times 10^{-34} Js}=1.22 \times 10^{15} s^{-1}=1.22 \times 10^{15} Hz
5 0
2 years ago
How many digits you need to write all 3 digit numbers
7nadin3 [17]

Answer: 720

Step-by-step explanation: if what you want are all possible three digit numbers with no repetition of the digits then you have 10 choices for the first digit, you have 9 choices for the 2nd digit, and you have 8 choices for the 3rd digit giving you 10x9x8 = 720 in all.

8 0
2 years ago
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the a
Doss [256]

Using the z-distribution, it is found that she should take a sample of 46 students.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:

6\sigma = 800 - 200

6\sigma = 600

\sigma = 100

The sample size is n when M = 29, hence:

M = z\frac{\sigma}{\sqrt{n}}

29 = 1.96\frac{100}{\sqrt{n}}

29\sqrt{n} = 196

\sqrt{n} = \frac{196}{29}

(\sqrt{n})^2 = \left(\frac{196}{29}\right)^2

n = 45.67.

Rounding up, a sample of 46 students should be taken.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
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