The sum of the digits of a certain two-digits is 7.Reversing its digits increase the number by9.What is the number

Answers

Answer 1

Answer: 34. 3 + 4 = 7 43 - 34 = 9

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A die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, then 5 times, and finally 7 times. Which experimental probability is consistent with this simulation?

Answers

The experimental probability is found as the average of the results of the experiments. To find the average you can just add the different results and divide by the number of times that the experiment was performed. So, you add (6/20 + 6/20 + 5/20 + 7/20= and divide by 4 (which is the number of times that the experiment was carried out). Applying the properties of the division of fractions, that is equal to [6 + 6 + 5 + 7] / (20*4) = 0.3. Answer: 0.3

A cheetah can run at top speed for only about 20 seconds. If an antelope is too far away for a cheetah to catch it in 20 seconds, the antelope is probably safe. Your friend claims an antelope running 60 feet per second will not be safe if the cheetah running at 90 feet per second is 650 feet behind it. Is your friend correct?

Answers

Your friend is not correct.

It takes the cheetah Approximately 21.67 seconds to run at 90 ft/s to reach the moving antelope.

Given that, a cheetah can run at top speed for only about 20 seconds and the top speed of a cheetah is 90 feet per second.

What is the formula to find the speed of an object?

The formula to find the speed of an object is Speed = Distance / Time.

From the given question in 20 seconds cheetah will cover a distance of:

20 × 90 = 1800 feet

In 20 seconds cheetah will cover a distance of 1800 feet.

It is given that the antelope runs 60 feet per sec

That means in 20 seconds antelope will cover a distance of:

20 × 60 = 1200 feet

In 20 seconds antelope will cover a distance of 1200 feet.

Now add the distance ran initially, because the antelope was ahead of the cheetah from 650 feet.

1200 feet + 650 feet = 1850 feet

But the maximum distance cheetah can cover is 1850 feet. Thus the antelope is still 50 ft ahead of the cheetah.

Therefore, the antelope is probably safe.

Hence, your friend is not correct.

The speed of a cheetah is 30 feet per second more than antelope.

Cheetahs need to cover 50 feet to catch antelope.

So, 50/30 =1.67 seconds

20 seconds + 1.67 second = 21.67 seconds

Therefore, it takes the cheetah approximately 21.67 seconds to run at 90 ft/s to reach the moving antelope.

To learn more about the speed visit:

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21.7 Seconds Your Friend is Incorrect 90t=650+X 60t=x 90t=60t×650 -60. -60 30t+650 ÷30 ÷ 30 21.7 T= time

A manufacturer of matches randomly and independently puts 23 matches in each box of matches produced. The company knows that one-tenth of 8 percent of the matches are flawed. What is the probability that a matchbox will have one or fewer matches with a flaw?

Answers

Answer:

0.9855 or 98.55%.

Step-by-step explanation:

The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:

$P(X\leq 1)=P(X=0)+P(X=1)\nP(X\leq 1)=(1-p)^(23)+23*(1-p)^(23-1)*p\nP(X\leq 1)=(1-0.008)^(23)+23*(1-0.008)^(23-1)*0.008\nP(X\leq 1)=0.8313+0.1542\nP(X\leq 1)=0.9855$

The probability that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.

Which of the following lines best fits the data shown in the scatter plot

Answers

Therefore, the option (A) is the correct answer.

What is the scatter plot?

Scatter plots are the graphs that present the relationship between two variables in a data-set. It represents data points on a two-dimensional plane or on a Cartesian system.

As per the given information, the correct graph is in option (A) because in this graph it is moving upward with respect to the line of curve.

Hence, the option (A) is the correct answer.

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Answer:

Im pretty sure its A

Step-by-step explanation:

Matrix Question PLEASE

Answers

make into matrix
$\left[\begin{array}{ccc}2&1&1\n1&-3&-1\n4&5&2\end{array}\right] = \left[\begin{array}{ccc}-2\n14\n-4\end{array}\right]$

accoring to cramer's rule
replace the y collum with eh constant collumn and find the detterminant

$\left[\begin{array}{ccc}2&-2&1\n1&-14&-1\n4&-4&2\end{array}\right]$
det
$2 \left[\begin{array}{ccc}14&-1\n-4&2\end{array}\right]-(-2) \left[\begin{array}{ccc}1&-1\n4&2\end{array}\right]+1 \left[\begin{array}{ccc}1&14\n4&-4\end{array}\right]$
dunno wat fraction is

pick last option

Using the transformation T: (x, y) (x + 2, y + 1), find the distance named.

Answers

move 2 units to the right and one unit up.
and the distance CA' is 45

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