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3 years ago

A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression

Mathematics

1 answer:

Darya [45]3 years ago

7 0

Answer:

$27.2

Step-by-step explanation:

A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression (0.85).32 represents the final price of the cake in dollars.

This is explained in the calculation below

= A cake that costs $32 is on sale for 15% off

The amount off the cake is calculated as

= 15% of $32

= 15/100 × 32

= $4.8

The amount he is paying for the cake =>$32 - $4.8

= $27.2

The above expression is obtained as

(0.85).32

= (100% - 15%) × 32

=( 1 - 0.15) × 32

= 0.85 × 32

= $27.2

The final price of the cake = $27.2

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Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us

grigory [225]

Answer:

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n represent the sample size

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

5 0

3 years ago

Find the midpoint of the segment having endpoints (0 ,1/8) and (-4/5 ,0)

kvasek [131]

Answer:

Mid point of the given end points = $(\frac{-2}{5},\frac{1}{16} )$

Step-by-step explanation:

Given the end points of the line segment are :

(0, $\frac{1}{8}$ ) & ( $\frac{-4}{5}$ ,0)

We will use the mid point formula when two points are: (x₁,y₁) & (x₂,y₂)

mid point = $(\frac{x_{1} +x_{2} }{2},\frac{y_{1} +y_{2} }{2} )$

now put the value of x₁ = 0

x₂ = $\frac{-4}{5}$

y₁ = $\frac{1}{8}$

y₂ = 0

mid point = $(\frac{0-\frac{4}{5} }{2},\frac{\frac{1}{8}+0 }{2})$

= $(\frac{-2}{5},\frac{1}{16} )$

That's the final answer.

3 0

3 years ago

How do i factor s^2+9s=-20

Talja [164]

To factor you have to do this:

s^2 + 9s = -20
+ 20 +20

s^2 + 9s + 20 = 0

now you need to numbers that multiplied give you 20
and then those same 2 numbers have to add to 9

5 x 4 = 20
5+ 4 = 9

(x + 4) (x+ 5)

that means that x= -4, and -5

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3 years ago

which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

sdas [7]

Answer:

Obtuse triangle.

Step-by-step explanation:

Side a = 5

Side b = 2

Side c = 4

Angle ∠A = 108.21° = 108°12'36" = 1.88862 rad

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Angle ∠C = 49.458° = 49°27'30" = 0.86321 rad

Since one angle is above 90 degrees, the triangle is obtuse triangle.

This cannot be an acute triangle.

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USPshnik [31]

Answer:

It is found when the line starts moving up or down.

Step-by-step explanation:

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