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4 years ago

What is 166.6789 to the nearest hundredth

Mathematics

1 answer:

Andreyy894 years ago

5 0

Answer:

166.68

Step by Step:

166.678

The bolded number is greater than 5 meaning you have to round up.

so 166.678 is rounded to 166.68.

Hope this helped.

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The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

$\dfrac{15.87}{100}\times 60 = 9.52\approx 10$

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0

4 years ago

) John paints 160 square feet in 45 minutes. How many square feet does he paint in 2 hours

Nataly_w [17]

Answer: 891000

Step-by-step explanation:

6 0

3 years ago

F(x) = x^2 . What is g(x)?

Andrej [43]

Answer:

A. $g(x) = (2x)^2$

8 0

3 years ago

Help please help ,,,,,

Natalka [10]

Answer:

18 cm²

Step-by-step explanation:

The area labelled A is a triangle.

The area (A) of a triangle is calculated using the formula

A = $\frac{1}{2}$ bh ( b is the base and h the height )

here b = 9 and h = 4 ( the same height as the rectangle ), thus

A = $\frac{1}{2}$ × 9 × 4 = $\frac{1}{2}$ × 36 = 18 cm²

3 0

3 years ago

After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil ide

valentina_108 [34]

The firm can interpret the soil test by using Bayes’ Theorem to see what the posterior probabilities of seeing different of oil as wlel as no oil are. By using this, you can tell that it’s more likely that they are going to find medium quality oil.

P(E1soil)= .5*.2=.1

P(E2 soil)=.2*.8=.16

P(E3soil)=.3*.2=.06

P(soil)=.1+.16+.06=.32

P(E1|soil)=.1/.32=.3125

P(E2|soil)=.16/.32=.5

P(E3|soil)=.06/.32=.1875

P(Oil)=P(medium quality oil high quality oil)=.3125+.5=.81257

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)

- Cutiepatutie ☺❀❤

8 0

3 years ago