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alexandr1967 [171]

2 years ago

9

Lori bought a shirt and a hat at a half off sale. If she spent a total of $21 on the two items, what was the original price of t

he hat ?

1 answer:

Bad White [126]2 years ago

6 0

Do 21 divided by 2 and you’ll get 10.5 so the original price was $10 and 50 cents

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Use the Midpoint Formula three times to find the three points that divide the line segment joining (x1, y1) and (x2, y2) into fo

fredd [130]

We are given points $A(x_1,y_1)$ and $B(x_2,y_2)$ .

We first find the midpoint M, of AB, which divides the segment AB into 2 equal parts,

then we find the midpoint N of AM, and midpoint K of MB.

Thus each of the half parts is divided into 2 equal parts. The whole segment is divided into 4 equal parts.

The coordinates of M, N and K are found as follows:

the coordinates of M are: $( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})$

the coordinates of N are:

$\displaystyle{( \frac{x_1+\frac{x_1+x_2}{2}}{2} , \frac{y_1+\frac{y_1+y_2}{2}}{2})=( \frac{\frac{2x_1+x_1+x_2}{2}}{2} , \frac{\frac{2y_1+y_1+y_2}{2}}{2})$

$=\displaystyle{(\frac{3x_1+x_2}{4}, \frac{3y_1+y_2}{4})}$

similarly, the coordinates of k are:

$=\displaystyle{(\frac{x_1+3x_2}{4}, \frac{y_1+3y_2}{4})}$

6 0

2 years ago

Sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. on sunday sam hopes to make at least $150 pa

Inga [223]

The answer is A because 3 rooms takes 6 hours

8 0

2 years ago

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A new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be,

r-ruslan [8.4K]

Answer: 13

i got the question wrong and it told me the correct answer . thank me later

4 0

2 years ago

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the tea

andrew11 [14]

Answer:

a) 1.92

b) 3.25

c) 1.5

d) -5.23

Step-by-step explanation:

We are given the following in the question:

4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3

a) mean of score change

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{23}{12} = 1.92$

b) standard deviation for this population

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences = 126.92

$\sigma = \sqrt{\frac{126.92}{12}} = 3.25$

c) median change score

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7

Median =

$\dfrac{6^{th} + 7^{th}}{2} = \dfrac{1+2}{2} = 1.5$

d) change score that is 2.2 standard deviations below the mean.

$x = \mu - 2.2(\sigma)\\x = 1.92-2.2(3.25)\\x = -5.23$

4 0

2 years ago

Tyler poured 15 cups of water into 2 equal sized bottles and filled each bottle. How much water was in each bottle?

Roman55 [17]

Answer:7.5

Step-by-step explanation:

you divided 15 into 2

6 0

2 years ago

Read 2 more answers