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3 years ago

Find P(5) when p = 0.10.

Mathematics

1 answer:

Masja [62]3 years ago

8 0

P(5) = Px5. P=0.10, so 0.10x5= 0.5

0.5 is your answer.

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Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e

bekas [8.4K]

Answer:

The water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be $\frac{9}{4} x$ .

And let the water be $\frac{3}{4} x$ .

According to question:

$\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}$ .

On adding the fractions:

⇒ $\frac{9x+3x}{4} =\frac{63}{4}$

⇒ $\frac{12x}{4} =\frac{63}{4}$

Multiplying both sides by 4 we get:

⇒ $12x=63$

Dividing both sides by 12 we get:

⇒ $x=\frac{63}{12}$

Dividing numerator and denominator by 3 on R.H.S we get:

⇒ $x=\frac{21}{4}$

Now, putting the value of $x$ on ratios:

Strawberry syrup = $\frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}$

= $\frac{189}{16}$

= $11\frac{13}{16}\ cups$

Water = $\frac{3}{4}\times x =\frac{3}{4} \times\frac{21}{4}$

= $\frac{63}{8}$

= $7\frac{7}{8} \ cups.$

Therefore, the water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

4 0

3 years ago

Please help! 12 points

Ivahew [28]

Answer:

Step-by-step explanation:

sin2x = 2sinx*cosx

= $2\sqrt{sin^{2}x }$ * cosx

= $2\sqrt{(1-cos^{2}x }$ * cosx

= 2 $\sqrt{1-\frac{3}{5} ^{2} } *\frac{3}{5}$

= $\frac{8}{5} * \frac{3}{5}$

= 24/25

8 0

3 years ago

Convert 0.25 with the 5 recurring to a fraction in its simplest form.

pentagon [3]

Answer:

Step-by-step explanation:

I'm taking this to mean

x = 0.255555555555... If this is not correct, leave a note. Multiply by 100

100 x = 25.55555555555555 ... Divide by 10

10x = 2.55555555555555 ... Subtract

90 x = 23

x = 23/90

Try putting 23/90 in your calculator. You will find it is 0.25555555... just what you were given

6 0

2 years ago

HELP

pentagon [3]

Answer:

First graph

Step-by-step explanation:

First off, the graph opens up because a is positive. Second, the parent function of the quadratic graph is $\displaystyle y = x^2,$ and the greater the WHOLE NUMBERS [vertical stretch (a)] get, the slimmer the parabola gets, and the more you increase the DEGREE evenly [anything ending in 0, 2, 4, 6, and\or 8], the more flat, U-shaped the parabola becomes.

I am joyous to assist you anytime.

5 0

3 years ago

Read 2 more answers

10) 3x + 5(4x – 3) = -61 A) -2 B) -4 C) 6 D) -11

skelet666 [1.2K]

3x + 5(4x-3) = -61
3x + 20x - 15 = -61
23x - 15 = -61
23x divided by -46
the answer is A) -2

3 0

3 years ago

Read 2 more answers