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3 years ago

13

Of moisturizers available at target, 39% are sunscreen, 24% are oil free, and 13% are both oil free and sunscreen. A moisturizer

is selected at random, find the probability the moisturizer is not a sunscreen.

1 answer:

vivado [14]3 years ago

3 0

Answer:

37/76

Step-by-step explanation:

P=24+13/24+13+39=37/76

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Which is the solution set of a for -3(-x a) 7<5 when x=-1 ?

masha68 [24]

Answer: CAN I DO YOU PLS

Step-by-step explanation:

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2 years ago

What is the reciprocal of 8 8/5 ?

Ksenya-84 [330]

Answer:

$\frac{5}{48}$

Step-by-step explanation:

The reciprocal of a number n is $\frac{1}{n}$

Given 8 $\frac{8}{5}$ , change to an improper fraction

= $\frac{5(8)+8}{5}$ = $\frac{48}{5}$ , thus

reciprocal = $\frac{1}{\frac{48}{5} }$ = $\frac{5}{48}$

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3 years ago

Harmon’s Jewelry Store receives a shipment of 500 jewelry pieces, but 15 pieces are damaged. At this rate, if Mrs. Harmon places

serious [3.7K]

Answer:

She should expect 165 jewelry pieces to be damaged.

Step-by-step explanation:

5,500/500 = 11

11 x 15 = 165

5 0

2 years ago

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...<em>rationalizing </em>

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...<em>taking 2 as a common factor</em>

<em>⇒ </em> $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As<em>, </em> $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

<em>⇒ </em> $cos(45-60)=\frac{( 1.41+2.44)}{4}$ <em />

<em>⇒ </em> $cos(45-60)=\frac{( 3.85)}{4}$ <em />

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

2 years ago

X+25+7x-65=180 solve for x

kozerog [31]

X = 27.5

8x = 220, so 220/8 = 27.5

6 0

2 years ago

Read 2 more answers