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Sholpan [36]
3 years ago
7

What is 26/8 written as a mixed number

Mathematics
1 answer:
elixir [45]3 years ago
8 0
\frac{26}{8}=\frac{26:2}{8:2}=\frac{13}{4}=\frac{12+1}{4}=\frac{12}{4}+\frac{1}{4}=3\frac{1}{4}
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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
rusak2 [61]

Answer:

(a) The probability that the thickness is less than 3.0 mm is 0.119.

(b) The probability that the thickness is more than 7.0 mm is 0.119.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is 0.762.

Step-by-step explanation:

We are given that thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.7 mm.

Let X = <u><em>thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village.</em></u>

So, X ~ Normal(\mu=5.0,\sigma^{2} =1.7^{2})

The z-score probability distribution for the normal distribution is given by;

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

where, \mu = population mean thickness = 5.0 mm

           \sigma = standard deviation = 1.7 mm

(a) The probability that the thickness is less than 3.0 mm is given by = P(X < 3.0 mm)

    P(X < 3.0 mm) = P( \frac{X-\mu}{\sigma} < \frac{3.0-5.0}{1.7} ) = P(Z < -1.18) = 1 - P(Z \leq 1.18)

                                                           = 1 - 0.8810 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(b) The probability that the thickness is more than 7.0 mm is given by = P(X > 7.0 mm)

    P(X > 7.0 mm) = P( \frac{X-\mu}{\sigma} > \frac{7.0-5.0}{1.7} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                           = 1 - 0.8810 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is given by = P(3.0 mm < X < 7.0 mm) = P(X < 7.0 mm) - P(X \leq 3.0 mm)

    P(X < 7.0 mm) = P( \frac{X-\mu}{\sigma} < \frac{7.0-5.0}{1.7} ) = P(Z < 1.18) = 0.881

    P(X \leq 3.0 mm) = P( \frac{X-\mu}{\sigma} \leq \frac{3.0-5.0}{1.7} ) = P(Z \leq -1.18) = 1 - P(Z < 1.18)

                                                           = 1 - 0.8810 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

Therefore, P(3.0 mm < X < 7.0 mm) = 0.881 - 0.119 = 0.762.

4 0
3 years ago
(-3x^2+4x-2)/(-3x+19)
prohojiy [21]
\left[x _{1}\right] = \left[ \frac{2}{3}+\left( \frac{-1}{3}\,i \right) \,\sqrt{2}\right][x​1​​]=[​3​​2​​+(​3​​−1​​i)√​2​​​] totally answer
7 0
3 years ago
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Please help its due tonight!!
Lynna [10]

Answer:

your really think ik the answer

Step-by-step explanation:

yea the  sorry

8 0
3 years ago
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I’ll mark brainliest!! Please help:)
Neporo4naja [7]
I can’t see the pic more can u edit it ms make it more bigger lol
6 0
3 years ago
2. What is the length of the third side of the right triangle, when both sides are 20?
Helen [10]
Well the only right triangle with two similar sides is a special triangle called a 45 45 90. After the degrees of its shape
                                                      _
two sides are x and the other is x/2              _
so in this case the other angle would be 20/2 [20 root (2), its hard to draw roots on this site so I thought I would clarify that was what I was drawing]

Hope this helps, good luck.
5 0
3 years ago
Read 2 more answers
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