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3 years ago

11. 5( y + 3.5) = -7.5 5 2.5

Mathematics

2 answers:

ioda3 years ago

6 0

Answer:

y=−4.2552

Step-by-step explanation:

Oksi-84 [34.3K]3 years ago

3 0

Answer:

−

cot

(

−

)

cos

(

390

)

sin

(

330

)

Step-by-step explanation:

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Help please 3^4 + 4 ⋅ 5 = ____. (Input whole numbers only.) (20 points)

Akimi4 [234]

Answer:

101

Step-by-step explanation:

3^4 = 81

4 x 5 20

81 +20 = 101

3 0

3 years ago

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12. The ratio of clown fish to angelfish at a pet store is 5:4. The ratio of

Tju [1.3M]

Answer:

So the ratio is 5:4:3

As there are 60 clown fish, divide 60 by 5. =12

12 x 4 = 48 (amount of angel fish)

12 x 3 = 36 (amount of goldfish)

5 0

3 years ago

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

Answer-

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

Solution-

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

3 years ago

Which graph shows a set of ordered pairs that represent a function? Need help

Sveta_85 [38]

Answer:

The third graph, the top right graph

Step-by-step explanation:

A function when determined graphically is a graph that passes the straight line test, which means if there is any two points on the graph which you can plot a vertical straight line going through both of them it is not a function. If 1 x value is equal to 2 y values, it is not a function.

8 0

3 years ago

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A line passes through the point (-6, -8) and has a slope of 3/2

garri49 [273]

Answer:

y=3/2(x) -1, or y = 1.5x - 1

Step-by-step explanation:

To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:

y=mx+b.

For this particular line, you would write:

-8 = 3/2(-6)+b

-8 = -18/2 + b

-8 = -9 + b

add 9 to both sides to isolate the b

-1 = b.

Now that you have the answer for b (-1), you can write the equation as:

y=3/2(x) -1

7 0

3 years ago

11. 5( y + 3.5) = -7.5 5 2.5​

11. 5( y + 3.5) = -7.5 5 2.5