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Nikolay [14]
2 years ago
7

what are the solution(s) to the quadratic equation x2 – 25 = 0? x = 5 and x = –5 x = 25 and x = –25 x = 125 and x = –125 no real

solution
Mathematics
2 answers:
Anon25 [30]2 years ago
6 0

Answer:

the answer is (x-5)(x+5)=0

sattari [20]2 years ago
3 0
The left hand side expression of the given equation is a difference of two squares. The first term, x², is a square of x and the second term, 25 is the square of 5. The factors of the expression are (x - 5) and (x + 5).
                                   (x - 5)(x + 5) = 0
The values of x from the equation above are x = -5 and x = 5.
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Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We
Mama L [17]

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

14,850 pages = 14,850/500 = 29.7.

Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

6 0
2 years ago
A certain type of device has an advertised failure rate of 0.01 per hour. The failure rate is constant and the exponential distr
Anna71 [15]

Answer:

Step-by-step explanation:

Given that a certain type of device has an advertised failure rate of 0.01 per hour.

Since failure rate is constant we find that time required for one failure

=1(100) =100

In 100 hours 1 failure can be expected

a)Mean time to failure = 100 hours

b) the probability that 300 hours will pass before a failure is​ observed

= first 5 hours not failed and next hour failed

= (1-0.01)^5 (0.01)\\= 0.00951

6 0
1 year ago
In a study conducted in the United Kingdom about sleeping positions, 1000 adults in the UK were asked their starting position wh
Lady_Fox [76]

Answer: = ( 0.411, 0.409)

Therefore at 95% confidence interval (a,b) = (0.411, 0.409)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 0.41

Standard deviation r = 0.016

Number of samples n = 1000

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

0.41+/-1.96(0.016/√1000)

0.41+/-1.96(0.000506)

0.41+/-0.00099

0.41+/-0.001

= ( 0.411, 0.409)

Therefore at 95% confidence interval (a,b) = (0.411, 0.409)

4 0
2 years ago
A city temperature is modeled as a normal random variable with mean and standard deviation both equal to 10 degrees Celsius. Wha
irina1246 [14]

Answer: 0.6915

Step-by-step explanation:

Given : \text{Mean}=\mu=10^{\circ}C

\text{Standard deviation}=\sigma=10^{\circ}C

Since , the distribution follows a Normal distribution.

The formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=15^{\circ}C

z=\dfrac{15-10}{10}=0.5

The p-value = P(z\leq0.5)=0.6914625\approx0.6915

Hence, the required probability : 0.6915

3 0
2 years ago
A 0.25 mL sample of water drawn from a 5 liter flask contains 1.25 x 10^8 bacteria. Give the approximate number of bacteria in t
vazorg [7]

Answer:

The number of bacteria in 0.25 mL is 6.25 x 10^3.

Step-by-step explanation:

5 liter flask contains 1.25 x 10^8 bacteria.

So, 1liter flask contains = \frac{1.25 \times 10^8}{5} =2.5\times 10^7

Now

0.25 mL contains = 2.5\times 10^7 \times0.25\times 10^{-3} = 6.25\times 10^3

7 0
1 year ago
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