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Anastasy [175]
3 years ago
11

John spent 3/8 of his money on candy, 2/6 of his money on magazines and saved the remainder of his money. What fraction of his m

oney did he save?
Mathematics
1 answer:
wel3 years ago
5 0

Answer:

14/48

Step-by-step explanation:

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I'm not really understanding how to set this up​
____ [38]

Answer: x = 21; y = 29.5

because 2y° and 59° are 2 opposing angles ⇒ 2y° = 59° ⇔ y = 29.5°

we also have: (3x - 4)° = 59° ( because of 2 parallel lines)

⇔ 3x = 59 + 4 = 63

⇔ x = 63/3 = 21

Step-by-step explanation:

4 0
3 years ago
Courtney has 12 fewer stickers than tina. how many stickers does courtney have in terms of x?
Annette [7]

Answer:

X-12

X×4

X + 7

X x 2/3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Graph the line using a point and a slope. Write the equation of each line.
Mandarinka [93]

Answer:

y = x - 2

Step-by-step explanation:

Parallel lines have the same slope, so the line will also have a slope of 1.

Plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-1 = 1(1) + b

-1 = 1 + b

-2 = b

Plug in b and the slope into y = mx + b

y = x - 2 is the equation

7 0
3 years ago
Read 2 more answers
The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room
Alexandra [31]

Answer:

\bar x = 260.1615

\sigma = 70.69

The confidence interval of standard deviation is: 53.76 to 103.25

Step-by-step explanation:

Given

n =20

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}

\bar x = \frac{5203.23}{20}

\bar x = 260.1615

\bar x = 260.16

Solving (b): The standard deviation

This is calculated as:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}\sigma = \sqrt{\frac{94938.80}{19}}

\sigma = \sqrt{4996.78}

\sigma = 70.69 --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

c =0.95

So:

\alpha = 1 -c

\alpha = 1 -0.95

\alpha = 0.05

Calculate the degree of freedom (df)

df = n -1

df = 20 -1

df = 19

Determine the critical value at row df = 19 and columns \frac{\alpha}{2} and 1 -\frac{\alpha}{2}

So, we have:

X^2_{0.025} = 32.852 ---- at \frac{\alpha}{2}

X^2_{0.975} = 8.907 --- at 1 -\frac{\alpha}{2}

So, the confidence interval of the standard deviation is:

\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} } to \sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }

70.69 * \sqrt{\frac{20 - 1}{32.852} to 70.69 * \sqrt{\frac{20 - 1}{8.907}

70.69 * \sqrt{\frac{19}{32.852} to 70.69 * \sqrt{\frac{19}{8.907}

53.76 to 103.25

8 0
2 years ago
What is the value of the expression when p = 7? 9p-7 A. 12 B.27 C.36 D.60
professor190 [17]

Answer:

56

Step-by-step explanation:

Just substitute 7 for p in the expression 9p - 7:  9(7) - 7 = 56

6 0
3 years ago
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