All categories

4 years ago

What number goes in the box to make the equation true? Blank = 5/16 x 8/15

Mathematics

1 answer:

k0ka [10]4 years ago

5 0

Answer:

n = 1/6

Step-by-step explanation:

<u>Step 1: Make an expression</u>

n = 5/16 * 8/15

n = 40/240

n = 40/40 / 240/40

<em />

Answer: n = 1/6

You might be interested in

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l

Anna [14]

Answer:

a) 0.4452

b) 0.0548

c) 0.0501

d) 0.9145

e) 6.08 minutes or greater

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.7 minutes

Standard Deviation, σ = 0.50 minutes.

We are given that the distribution of length of the calls is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(calls last between 4.7 and 5.5 minutes)

$P(4.7 \leq x \leq 5.5) = P(\displaystyle\frac{4.7 - 4.7}{0.50} \leq z \leq \displaystyle\frac{5.5-4.7}{0.50}) = P(0 \leq z \leq 1.6)\\\\= P(z \leq 1.6) - P(z$

$P(4.7 \leq x \leq 5.5) = 44.52\%$

b) P(calls last more than 5.5 minutes)

$P(x > 5.5) = P(z > \displaystyle\frac{5.5-4.7}{0.50}) = P(z > 1.6)\\\\P( z > 1.6) = 1 - P(z \leq 1.6)$

Calculating the value from the standard normal table we have,

$1 - 0.9452 = 0.0548 = 5.48\%\\P( x > 5.5) = 5.48\%$

c) P( calls last between 5.5 and 6 minutes)

$P(4.7 \leq x \leq 5.5) = P(\displaystyle\frac{5.5 - 4.7}{0.50} \leq z \leq \displaystyle\frac{6-4.7}{0.50}) = P(1.6 \leq z \leq 2.6)\\\\= P(z \leq 2.6) - P(z$

$P(5.5 \leq x \leq 6) = 5.01\%$

d) P( calls last between 4 and 6 minutes)

$P(4 \leq x \leq 6) = P(\displaystyle\frac{4 - 4.7}{0.50} \leq z \leq \displaystyle\frac{6-4.7}{0.50}) = P(-1.4 \leq z \leq 2.6)\\\\= P(z \leq 2.6) - P(z$

$P(4 \leq x \leq 6) = 91.45\%$

e) We have to find the value of x such that the probability is 0.03.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 4.7}{0.50})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 4.7}{0.50})=0.03$

$=P( z \leq \displaystyle\frac{x - 4.7}{0.50})=0.997$

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

P(z < 2.75) = 0.997

$\displaystyle\frac{x - 4.7}{0.50} = 2.75\\x = 6.075 \approx 6.08$

Hence, the call lengths must be 6.08 minutes or greater for them to lie in the highest 3%.

8 0

3 years ago

Unit 11: volume and surface area<br><br> homework 5: surface area of prisms & cylinders

Monica [59]

The volume and surface area of any prism can be determined using the given formula explained below.

<h3>What is the Volume and Surface Area of Prisms?</h3>

The surface area of any given prism can be calculated using the formula, SA = (2 × Base Area) + (Base perimeter × height).

The volume of any given prism can be determined, using the formula, V = base area × height of the prism.

The image for the prisms to be calculated is missing, howver, using the above formula, the volume and surface area of any prism can be determined using the given parameters.

Learn more about volume and surface area of prisms on:

brainly.com/question/12186885

4 0

2 years ago

Homework help...Last question: Estimate the product of 15.217 × 9.54. Round each number to the nearest whole number.

neonofarm [45]

I rounded it to 150.

You could round 15.217 down to 15 and 9.54 up to 10 and then multiply 15 x 10 = 150. But you could also multiply 15.217 x 9.54 to get 145.17018 and round that up to 150 because any number that ends with 5 or higher rounds up.

7 0

4 years ago

Peter can ride his bike for 60 miles in 1 hour less time than it

Inessa05 [86]

Answer:12 mph

Step-by-step explanation:

3 0

3 years ago

Hey i need help with this word problem

gulaghasi [49]

Answer:

intresting

Step-by-step explanation:

3 0

3 years ago