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3 years ago

What is half of $6.90

Mathematics

2 answers:

Ksju [112]3 years ago

5 0

Answer: 3.45

Step-by-step explanation: divide 6 by 2 and 90 by 2

olganol [36]3 years ago

4 0

Answer:$3.45

Step-by-step explanation: I hope this helps! just make sure to have a uwu or great day! ✍(◔◡◔)

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The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm.

scoundrel [369]

Using the formulas here: http://www.1728.org/diamform.htm

A) Volume = π • r² • height
radius^2 = Volume / (PI*height)
radius^2 = 12,566.4 / (PI * 8)
radius^2 = 500.0011692175 
radius = 22.3607059195 
radius (rounded) = 22.4 cm

B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base = 1,570.7963267949 
Area of base (rounded) = 1,570.8 square cm

C) lateral area = 2 • π • r • height 
lateral area = 2 • π • 22.4 * 8
lateral area = 1,125.9468070466 
lateral area = 1,125.9 square cm

D) Total Surface Area = (2 • π • r²) + (2 • π • r • height)
Total Surface Area = 2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)

Total Surface Area = ( 2 * 1,570.8 ) + (1,125.9)
Total Surface Area = 3,141.6 + 1,125.9
Total Surface Area = 4,267.5 square cm

3 0

4 years ago

Bob and Anna are planning to meet for lunch at Sally's Restaurant, but they forgot to schedule a time. Bob and Anna are each goi

Viktor [21]

Answer:

The expected cost is $8.75

Step-by-step explanation:

Given

$Time = \{1pm, 2pm, 3pm, 4pm\}$

$C_1 = \$5$ --- If Bob and Anna meet

$C_2 = \$10$ --- If Bob and Anna do not meet

Required

The expected cost of Bob's meal

First, we list out all possible time both Bob and Anna can select

We have:

$(Bob,Anna) = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3)$ $,(3,4),(4,1),(4,2),(4,3),(4,4)\}$

$n(Bob, Anna) = 16$

The outcome of them meeting at the same time is:

$Same\ Time = \{(1,1),(2,2),(3,3),(4,4)\}$

$n(Same\ Time) = 4$

The probability of them meeting at the same time is:

$Pr(Same\ Time) = \frac{n(Same\ Time)}{n(Bob,Anna)}$

$Pr(Same\ Time) = \frac{4}{16}$

$Pr(Same\ Time) = \frac{1}{4}$

The outcome of them not meeting:

$Different = \(Bob,Anna) = \{(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2)$

$,(3,4),(4,1),(4,2),(4,3)\}$

$n(Different) = 12$

The probability of them meeting at the same time is:

$Pr(Different) = \frac{n(Different)}{n(Bob,Anna)}$

$Pr(Different) = \frac{12}{16}$

$Pr(Different) = \frac{3}{4}$

The expected cost is then calculated as:

$Expected = C_1 * P(Same) + C_2 * P(Different)$

$Expected = \$5 * \frac{1}{4} + \$10 * \frac{3}{4}$

$Expected = \frac{\$5}{4} + \frac{\$30}{4}$

Take LCM

$Expected = \frac{\$5+\$30}{4}$

$Expected = \frac{\$35}{4}$

$Expected = \$8.75$

The expected cost is $8.75

4 0

3 years ago

What is an equation of the line that passes through the points (-1, 6) (−1,6) and (-1, -5) (−1,−5)

slavikrds [6]

Answer:

x = -1

Step-by-step explanation:

You can write the equation of the line by finding the slope between the points and substitute it with a point into the point slope form.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{6--5}{-1--1} =\frac{11}{0} = und$

These points have a slope which is undefined. This means it is a vertical line that crosses through the x-axis at the x-coordinate of both points -1. The equation is x = -1.

8 0

3 years ago

What does it mean when a scatter plot has a good or bad fit? And how can you tell if it has a good or bad fit?

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7 0

3 years ago

Anybody please help me solve this

coldgirl [10]

Answer:

y -2 = 2(x - (-3) )

Step-by-step explanation: