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tankabanditka [31]

3 years ago

8

Sam bought a new bicycle on sale that was originally $160 but was 20% off. He was also charged 6.5% sales tax. How much did Sam

pay in total after the discount and tax?

1 answer:

Len [333]3 years ago

7 0

Sam paid 136.32 after tax you take 20% from 160 which 10% of 160 is 16 and 16+16=32 making 20% 32$ off then add the 6.5%

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Estimate 55+3<br> to the hundred the<br> place,

pentagon [3]

Answer:

100

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How much surface area would be lost if you glued three 4-cm cubes together to make a rod that is three cubes long and one cube w

Kipish [7]

Answer:

Part 3) $SA=288\ cm^2$

Part 4) $64\ cm^2$

Step-by-step explanation:

Part 3) Calculate the total surface area of three 4 cm cubes

we know that

The surface area of a cube is equal to the area of its six square faces

$SA=6b^2$

so

The surface area of three cubes is equal to the area of its 18 square faces

$SA=18b^2$

where

b is the length side of the square face

In this problem

$b=4\ cm$

so

The surface area of three cubes is

$SA=18b^2$

substitute the given value

$SA=18(4)^2$

$SA=288\ cm^2$

Part 4) How much surface area would be lost if you glued three 4-cm cubes together to make a rod that is three cubes long and one cube wide?

In this case the total surface area of the three glued 4-cm cubes is equal to the area of its 14 square faces

so

The surface area lost is equal to

$18b^2-14b^2=4b^2$

substitute

$4(4)^2=64\ cm^2$

6 0

3 years ago

A local company makes snack-size bags of potato chips. Each day, the company produces batches of 400 snack-size bags using a pro

ioda

Answer:

Probability that a sample of 40 bags has an average weight of at least 2.02 ounces is 0.103.

Step-by-step explanation:

We are given that the company produces batches of 400 snack-size bags using a process designed to fill each bag with an average of 2 ounces of potato chips. Assume the amount placed in each of the 400 bags is normally distributed and has a standard deviation of 0.1 ounce.

Also, sample of 40 bags are selected.

<em>Let </em> $\bar X$ <em> = sample average weight</em>

The z-score probability distribution for sample mean is given by ;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean weight of potato chips = 2 ounces

$\sigma$ = standard deviation = 0.1 ounces

n = sample of bags = 40

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, the probability that a sample of 40 bags has an average weight of at least 2.02 ounces is given by = P( $\bar X$ $\geq$ 2.02 ounces)

P( $\bar X$ $\geq$ 2.02) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{2.02-2}{\frac{0.1}{\sqrt{40} } }$ ) = P(Z $\geq$ 1.265) = 1 - P(Z < 1.265)

= 1 - 0.89707 = 0.103

<em>The above probability is calculated using z table by looking at value of x = 1.265 which will lie between x = 1.26 and x = 1.27 in the z table which have an area of 0.89707.</em>

<em />

Therefore, probability that a sample of 40 bags has an average weight of at least 2.02 ounces is 0.103.

3 0

3 years ago

Which triangle CANNOT be drawn?

Genrish500 [490]

Answer:

I think its D. A triangle thats obtuse cant be equal because one of the angles has to be over 120°.

7 0

3 years ago

In sakura’s garden, for every 5 red flowers, there are 10 yellow flowers. There are a total of 75 yellow and red flowers in her

Pachacha [2.7K]

The first thing we must do for this case is to define variables.
We have then:
x: number of red flowers
y: number of yellow flowers.
We write the system of equations:
x + y = 75
y = 2x
Solving the system we have:
x = 25
y = 50
Answer:
there are 25 red flowers in Sakura's garden

5 0

4 years ago