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2 years ago

What is the value of (5x²)³ + 16y divided by 4y for x=2 and y=3

Mathematics

1 answer:

Inessa05 [86]2 years ago

6 0

Answer:

30 2/3

Step-by-step explanation:

First multiply the two exponents

Second solve 2^6

Third multiply 64 times 5 = 320

Then multiply 16 times 3

Then add sums together 368

Lastly multiply 4 times 3 then divide 368 by 12

I hope this helps :)

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Lightning strikes earth 1000 times in 10 sec. how many times does lightning strike per sec?

atroni [7]

Simple division:

The amount/number of seconds=amount per second.

1000/10=100

Lightning strikes earth 100 times per second.

6 0

2 years ago

As a promotion, the first 50 customers who entered a certain store at a mall were asked to choose from one of two discounts. The

qaws [65]

Answer:

A) Yes, because P (F∩S) = 0

Step-by-step explanation:

Hello!

50 customers of a store were asked to choose between two discounts:

Discount 1: 20% off all purchases for the day.

Discount 2: 10% off all purchases for the week.

28 choose discount 1

22 choose discount 2

F: the selected person choose discount 1.

S: the selected person choose discount 2.

Two events are mutually exclusive when the occurrence of one of them prevents the other from occurring in one repetition of the trial and the intersection between these two events is void with zero probability of happening.

In this case, since the customers were asked to choose one out of the two events, if the customer chooses the first one, then he couldn't have chosen the second one and vice-versa. Then the intersection between these two events has zero probability, symbolically:

P(F∩S)=0

I hope it helps!

8 0

2 years ago

The top surface of a desk has a length of 5.6 ft and the length is 4 times its width what is the width of the desk

IgorLugansk [536]

Answer:

<u>The width of the top surface of the desk is 1.4 feet.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Length of the top surface of a desk = 5.6 feet

Width of the top surface of a desk= x

2. Let's find the width of the top surface of the desk

Length of the top surface of a desk = Four times the width

5.6 = 4x

5.6/4 = 4x/4 (Dividing by 4 at both sides)

1.4 = x

<u>The width of the top surface of the desk is 1.4 feet.</u>

5 0

2 years ago

Suppose X is the breaking strength (newtons) of a material, and X is normally distributed with

Veronika [31]

Answer:

a) 0.997 is the probability that the breaking strength is at least 772 newtons.

b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 800 newtons

Standard Deviation, σ = 10 newtons

We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P( breaking strength of at least 772 newtons)

$P(x \geq 772)$

$P( x \geq 772) = P( z \geq \displaystyle\frac{772 - 800}{10}) = P(z \geq -2.8)$

$= 1 - P(z$

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

$P(x \geq 772) = 1 - 0.003 = 0.997 = 99.7\%$

0.997 is the probability that the breaking strength is at least 772 newtons.

b) P( breaking strength of at least 772 but not more than 820)

$P(772 \leq x \leq 820) = P(\displaystyle\frac{772 - 800}{10} \leq z \leq \displaystyle\frac{820-800}{10}) = P(-2.8 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2.8)\\= 0.977 - 0.003 = 0.974 = 97.4\%$

$P(772 \leq x \leq 820) = 97.4\\%$

0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820.

7 0

2 years ago

PLEASE HELP 30 PTS!!

Troyanec [42]

I hope this helps you

7 0

2 years ago

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