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2 years ago

Please help me w/ this

Mathematics

1 answer:

Elenna [48]2 years ago

7 0

Step-by-step explanation:

it looks like the line goes through (7, 6) and through (8, -2).

the slope of a line is the ratio of y/x. it indicates how many units y changes, when x changes a certain amount of units.

so, for our 2 points we see x changes only by +1 unit (from 7 to 8 : 8 - 7 = 1). at the same time y changes by -8 units (from 6 to -2 : -2 - 6 = -8).

therefore, or slope is y/x = -8/1 = -8

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George buys some first class and second class stamps to put on some letters. Each first class stamp costs 67p, and each second c

Dafna1 [17]

Answer:

£191.36

Step-by-step explanation:

Sum the parts of the ratio, 1 + 4 = 5 parts

Divide 320 by 5 to find the value of one part of the ratio.

320 ÷ 5 = 64 ← value of 1 part of the ratio , thus

4 parts = 4 × 64 = 256

Thus he bought 64 first class and 256 second class.

Cost = (64 × £0.67) + (256 × £0.58)

= £42.88 + 148.48

= £191.36

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3 years ago

Carlos has a $20 bill. He wants to buy his mom something for her birthday. He uses part of the

lukranit [14]

Answer:

D) $15.99 +$0.50n> $20

Step-by-step explanation:

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2 years ago

g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G

patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

$\mathbf{P(positive) = P(positive \ | \ DIPG) \times P(DIPG) + P(positive \ | \ not \DIPG)\times P(not \ DIPG)}$ $= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})$

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

$P(not \ DIPG \ | \ positive) = \dfrac{ P(positive \ | \ not DIPG)\timesP(not \ DIPG)} { P(positive)}$

$=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}$

$=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}$

= 0.9586

8 0

3 years ago

Dwayne buys ingredients to make a cake. He buys 1 1/2 pounds of flour, 12 ounces of coconut, and 1 1/4 pounds of sugar. What is

AVprozaik [17]

Answer:

3.05 or 31/2 pounds

56 ounces

Step-by-step explanation:

To find the total weight all the weights have to have the same units of measurements

It is either pounds is converted to ounces or ounces is converted to pounds

1. convert ounces to pound

1 ounce = 0.0625

12 ounces = 0.0625 x 12 = 0.75 pounds or 3/4

add together = 1 1/2 + 3/4 + 1 1/4 = $1\frac{1}{2} + \frac{3}{4} + 1\frac{1}{4}$

$2\frac{2 +3 + 1}{4}$ = $2\frac{6}{4}$ = 3 1/2

2. 16 ounces = 1 pound

flour = 16 x 1 1/2 = 24

sugar = 16 x 1 1/4 = 20

total = 24 + 20 + 12 = 56 ounces

6 0

3 years ago

Find the equation of a line parallel to −5x+y=2 that contains the point (5,−2). Write the equation in slope-intercept form.

mario62 [17]

Answer:

L2: y-0 = 5/2(x-5)

y = 5/2x-25/2

Step-by-step explanation:

Parallel lines have same slopes.

Line 1, L1: 5x-2y=20 is in standard form Ax+By=C therefore slope m1= -A/B = -5/-2 = 5/2 or you can solve it for y so you will have the equation in slope-intercept form.

5x-2y = 20

-2y = -5x+20

y = (-5/-2)x+20/(-2)

y = (5/2)x-10 hence m1=5/2 and y-intercept is -10

Line 2 , L2: y-y1 = m (x-x1), m=m2=m1=5/2

Point p(5,0) or p(x1,y1) therefore x1=5 , y1=0 and m=5/2

L2: y-0 = 5/2(x-5)

y = 5/2x-25/2

5 0

2 years ago