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3 years ago

A microwave is $299.99 but is on sale for 15% off. With

Mathematics

1 answer:

Reil [10]3 years ago

7 0

Answer:

$274.12

Step-by-step explanation:

The microwave is 15% off from its original price of 299.99. This means that the microwave is only 85% of its price from its original price. To find its discounted price, we do 0.85 (85%) *299.99= 254.99. Then, with the tax added, we do 1.075 * 254.99 (1.075 is the price percentage with the tax) to get 274.12

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Which number is greater and by how much: A decreased by 50% and then increased by 50% of the result

cricket20 [7]

Answer:

the original number is greater

Step-by-step explanation:

1. let 1x be your starting number

2. therefore, 0.5 * 1x = 0.5x ( amount after you decreased it by 50%)

3. then increase: 0.5x * 1.5 = 0.75x (amount after you increased it by 50%)

4. 0.75x < 1x (this means that the original number is larger than the one you decreased and then increased)

6 0

2 years ago

Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin

notka56 [123]

Answer:

$\huge{\boxed{\sf{ ( 3 , 3 ) }}}$

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) $\longrightarrow$ ( x1 , y1 )

B ( x , y ) $\longrightarrow$ ( x2 , y2 )

Now,

Midpoint = $(\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

⇒ $( -2 , 2 ) = ( \frac{-7 + x}{2} , \frac{1 + y}{2} )$

Finding the value of x :

⇒ $-2 = \frac{-7 + x}{2}$

Do cross multiplication

⇒ $-4 = -7 + x$

⇒ $-7 + x = -4$

⇒ $x = -4 + 7$

⇒ $x = 3$

Now, finding the value of y

⇒ $2 = \frac{1+y}{2}$

Do cross multiplication

⇒ $4 = 1+y$

⇒ $1+y = 4$

⇒ $y = 4 - 1$

⇒ $y = 3$

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~ $\text{ TheAnimeGirl}$

4 0

3 years ago

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 335335 babies were born

strojnjashka [21]

Answer:

The 99% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

Step-by-step explanation:

Confidence Interval for the proportion:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 335, \pi = \frac{268}{335} = 0.8$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.7437$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.8563$

For the percentage:

Multiplying the proportions by 100.

The 99% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

7 0

3 years ago

Find the difference: -4- (-3) =

GarryVolchara [31]

Answer:

Step-by-step explanation:

-4 - (-3)

= -4 + 3

= -1

<h3>#AyoBelajar</h3>

7 0

3 years ago

Read 2 more answers

A simplifie 6 × ( - 24 ) ÷ ( -4 )

kumpel [21]

$\huge\textbf{Hey there!}$

$\huge\boxed{\mathsf{6\times(-24)\div (-4)}}\\\huge\boxed{= \mathsf{\dfrac{6(-24)}{-4}}}\\\huge\boxed{\mathsf{= \dfrac{\bold{-144}}{-4}}}\\\huge\boxed{\mathsf{\dfrac{-144\div-4}{-4\div-4}}}\\\huge\boxed{= \mathsf{\dfrac{\bold{36}}{1}}}\\\huge\boxed{\mathsf{= 36\div1}}\\\huge\boxed{\mathsf{= 36}}\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{36}}}\huge\checkmark$

$\huge\text{\bf Good luck on your assignment and enjoy}\\\huge\text{\bf your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

3 years ago