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4 years ago

Please answer! If you don’t mind, can you explain

Mathematics

1 answer:

stich3 [128]4 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Using the given formula for area : A = $\frac{1}{2}$ bh

(a) given b = 8 and h = 5, then

A = $\frac{1}{2}$ × 8 × 5 = $\frac{1}{2}$ × 40 = 20 units²

(b) given A = 18 and b = 4, then

18 = $\frac{1}{2}$ × 4 × h = 2h ( divide both sides by 2 )

h = 9 units

14 = $\frac{1}{2}$ × 7 × b = 3.5b ( divide both sides by 3.5 )

b = 4 units

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5. the price of an ipod dropped from $299.99 to $180.55. what was the percent decrease in price? (round to nearest hundredth per

max2010maxim [7]

If you would like to know what was the percent decrease in price, you can calculate this using the following steps:

x% of $299.99 is $180.55
x% * 299.99 = 180.55
x/100 * 299.99 = 180.55
x = 180.55 * 100 / 299.99
x = 60.19%

100% - 60.19% = 39.81%

The correct result would be 39.81%.

3 0

4 years ago

Jasmine is 135.6 centimeters tall, Carlos is 135.75 centimeters tall, and Mason is 135.25 centimeters tall. Who is the tallest?

IRINA_888 [86]

<span>Carlos, as 0.75is bigger than 0.60 or 0.25

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3 years ago

A small boat traveled 29.5 miles upstream in 2 hours. The same boat took 3 hours to travel 59.25 miles downstream. If the speed

mel-nik [20]

Answer:

boat speed: 17.25 mph
current: 2.5 mph

Step-by-step explanation:

Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...

speed = distance/time

b-c = 29.5/2 = 14.75 . . . . . miles/hour

b+c = 59.25/3 = 19.75 . . . .miles/hour

Subtracting the first equation from the second, we get ...

(b+c) -(b-c) = 19.75 -14.75

2c = 5

c = 2.5

Then either equation can be used to find b:

b = 14.75 +c = 17.25

The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.

5 0

3 years ago

A Ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee is beneficial

DaniilM [7]

The test statistic z will be equal to -0.946 and it shows that there is no significant difference in the proportion of rehires between full time and part time.

Given sample sizes of 833 and 386 and result of samples 434 and 189.

$n_{1} =833, n_{2}=386$

Proportion of full time=434/833=0.52

Proportion of part time=189/386=0.49.

Difference in proportion =0.52-0.49

$H_{0}:$ TTF- i∈ rho=0

$H_{1}:$ TTF+i∈ rho≠0.

Mean of difference=0.03

Z=(X-μ)/σ

σ= $\sqrt{0.4517/447}$

=0.0317

σ=0.0317

z=(0-0.03)/0.0317

=-0.03/0.0317

=-0.317

p value will be =0.1736.

Because p value is greater than 0.01 so we will accept the null hypothesis which shows that there is no significant difference in the proportions.

Hence there is no significant difference in the proportion of rehires between full time and part time.

Learn more about z test at brainly.com/question/14453510

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6 0

2 years ago

Round the following number to four significant figures: 3.682417 *

Dovator [93]

Answer:

3.682

Step-by-step explanation:

We don't consider the decimal place or I should say comma so then we read from the first digit as long as it's not zero then until the fourth digit we look at the next digit if it's 5 or greater then we add 1 to the previous digit. And if the next digit is less than 5 then the digit won't change

7 0

3 years ago