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Taya2010 [7]
3 years ago
13

A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag.

Mathematics
2 answers:
svetoff [14.1K]3 years ago
7 0

Answer:

The probability of not drawing a black marble is 8/10 and the probability of drawing a red marble is 3/10.

Step-by-step explanation:

There are 10 marbles altogether, and 8 of them are not black marbles, and only 3 of them are red.

Delvig [45]3 years ago
4 0
Since you are not allowed to draw a black marble, then you have only 7 ways to draw either a blue or a red marble. The sum of all marbles is 10. So the probability of not drawing a black marble is 7/10 and the probability of drawing a red marble is 2/10 or 1/5.
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Does anyone know how to do this and if so can you please help me and explain how to do it, it’ll be appreciated thank you
dalvyx [7]

Answer:

13) (5x)^{-\frac{5}{4} ⇒ \frac{1}{\sqrt[4]{(5x)^5}}

15) (10n)^{\frac{3}{2} ⇒ \sqrt{(10n)^3}

Step-by-step explanation:

Given expression:

13) (5x)^{-\frac{5}{4}

15) (10n)^{\frac{3}{2}

Write the expressions in radical form.

Solution:

For an expression with exponents as fraction like

(x)^{\frac{m}{n}

the numerator m represents the power it is raised to and the denominator n represents the nth root of the expression.

For an expression with exponents as negative  fraction like

(x)^{-\frac{m}{n}

We take the reciprocal of the term by rule for negative exponents.

So it is written as:

\frac{1}{(x)^{\frac{m}{n}}}

using the above properties we can write the given expressions in radical form.

13) (5x)^{-\frac{5}{4}

⇒ \frac{1}{(5x)^{\frac{5}{4}}}   [Using rule of negative exponents]

⇒ \frac{1}{\sqrt[4]{(5x)^5}}    [writing in radical form]

15) (10n)^{\frac{3}{2}

⇒ \sqrt{(10n)^3}     [Since 2nd root is given as \sqrt{} in radical form]

3 0
3 years ago
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find th
Aneli [31]

Answer:

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.

A. f(x) = 5 + x; $111.05

B. f(x) = 0.05x; $5.50

C. f(x) = x � 5; $108.95

D. f(x) =1.05x; $115.50  

total cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 to get

f(x) = 1.05x

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50 (after tax is added on)

Step-by-step explanation:

1:    the total cost of a CD player would be 104.76

2:    Total Cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 into the function

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50

3:    Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

7 0
3 years ago
Write the expression below as a single logarithm in simplest form.<br> logo 7 – log, 7
Svet_ta [14]

Given:

The given expression is:

\log_b7-\log_b7

To find:

The single logarithm expression for the given expression.

Solution:

Quotient property of logarithm:

\log_bm-\log_bn=\log_b\left(\dfrac{m}{n}\right)

We have,

\log_b7-\log_b7

Using quotient property of logarithm, we get

\log_b7-\log_b7=\log_b\left(\dfrac{7}{7}\right)

\log_b7-\log_b7=\log_b\left(1\right)

Therefore, the required expression is \log_b\left(1\right).

5 0
3 years ago
Simplify the radical expression by rationalizing the denominator.
artcher [175]
\frac{4}{\sqrt{21}} = \frac{4}{\sqrt{21}} \times \frac{\sqrt{21}}{\sqrt{21}} =\boxed{ \frac{4\sqrt{21}}{21}}
4 0
3 years ago
Are there any perfect squares that go into 380?
timurjin [86]

I belive the answer is no. Tell me if im doing this wrong, but the square root of 380 is a decimal number.

6 0
3 years ago
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