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finlep [7]
3 years ago
15

State whether the number 97 is prime, composite, or neither

Mathematics
1 answer:
pickupchik [31]3 years ago
5 0

Answer:

Prime

Step-by-step explanation:

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Solve for x using the<br> distributive property.<br> 2(x - 5) = 10
Bingel [31]

Answer:

x=10

Step-by-step explanation:

2x-10=10

2x=20

x=10

5 0
3 years ago
Read 2 more answers
12 yellow balls and 9 red balls are placed in an urn. Two balls are then drawn in succession without replacement. What is the pr
denis23 [38]

Answer:

\frac{9}{35}

Step-by-step explanation:

When the first draw is done there are 9 red balls in a sample size of 21. So there probability of drawing a red ball will be \frac{9}{21}

When the second draw is done, there will be 12 yellow balls in a sample size of 20 since the first ball will not have been replaced into the bag. So the chance of someone drawing the second ball in the second draw is \frac{12}{20}

The probability of them happening in this order is the product of both probabilities:

\frac{9}{21}  * \frac{12}{20}  = \frac{9}{35}

8 0
3 years ago
In the following figure, the square ABCD is inscribed in the circle centered at point P. What is the area of the circle?
Ainat [17]

Answer:

A_{Circle} \approx 39.24\: units^2

Step-by-step explanation:

Square ABCD is inscribed in a circle with center P such that BC = 5 units.

BD will be diagonal of the square as well as diameter of the circle.

BD = BC\times\sqrt 2

\implies BD = 5\sqrt 2

-> Diameter of the circle (d) = 5\sqrt 2

-> Radius of the circle (r) = 2.5\sqrt 2=3.535\: units

A_{Circle} =\pi(r)^2

\implies A_{Circle} =3.14(3.535)^2

\implies A_{Circle} =3.14(3.535)^2

\implies A_{Circle} =39.2381465

\implies A_{Circle} \approx 39.24\: units^2

8 0
2 years ago
A sum amount <br>to rupees 34476 in two and a half years at 4% CI. the sum is ​
Kruka [31]

Given:

Amount = Rs. 34476

Rate of compound interest = 4%

Time = 2\dfrac{1}{2}=2.5 years

To find:

The principal value.

Solution:

Formula for amount is

A=P\left(1+\dfrac{r}{100}\right)^t

Where, P is principal value, r is rate of interest and t is time in years.

Putting the given values, we  get

34476=P\left(1+\dfrac{4}{100}\right)^{2.5}

34476=P\left(1+0.04\right)^{2.5}

34476=P\left(1.04\right)^{2.5}

\dfrac{34476}{\left(1.04\right)^{2.5}}=P

Now,

P=31256.0090

P\approx 31256

Therefore, the value of sum or principal value is Rs.31256.

6 0
3 years ago
What is 6 less than 5 times a number? a. 5x - 6 b. 5 × 6 c. 5x 6 d. 5 ÷ 6
Paul [167]
A. 5x - 6 ................
4 0
3 years ago
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