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3 years ago

Find the slope of the line.

Mathematics

2 answers:

Nina [5.8K]3 years ago

8 0

The answer is slope = 1 or m = 1
It rises 6 and goes over to the right 6 which is: 6/6
6 / 6 = 1

Hope this helps :)

pav-90 [236]3 years ago

3 0

0.8 or 0.8 over 1 because you use the formula y2-y1 over x2-x1

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URGENTTT!!! Which of the following data sets is best described by a linear model?

miv72 [106K]

Answer: C (2, 12), (3, 6), (4, 16), (5, 25)

Explanation:
C has a consistent slope and the y-values never repeat.

A and E have repeating y-values.
B’s slope is not consistent.

6 0

3 years ago

A fish tank, in the shape of a rectangular prism with dimensions 51 cm by 39 cm by 28 cm, is 95% filled with water. A solid log

GenaCL600 [577]

Answer:

The end answer is 669.4

Step-by-step explanation:

So you take the volume of the fish tank: 51*39*28=55692, but the tank is only 95% full, so you take 55692 and divide it by 100 and multiply it by 95, you get 52907.4. Then you calculate the volume of the log: 3.14*5^2*44=3454.

Now that we know these values, we take the volume of the water which is 52907.4 and add the volume of the log 3454 which gets you 56361.4.

Now we know the combined volume of the water and the log, we can remove the volume of the tank, which will still be holding the water that hasn't exceeded the capacity of the tank: 56361.4-55692=669.4

So then we know what has exceeded the capacity of the tank, which is how much water has spilled

So the water spilled equals 669.4 cubic centimetres of water.

6 0

3 years ago

Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution wi

Illusion [34]

Answer:

(a) $E(X) = 1$

(b) $\sigma_X =1$

(d) P(2 ≤ X ≤ 5) = 0.1286

Step-by-step explanation:

From the given information; Let consider X to be the time between two successive arrivals at the drive-up window of a local bank.

However; If X is regarded as the exponential distribution with λ = 1 which is identical to a standard gamma distribution with ∝ = 1

The objective is to compute the following :

(a) The expected time between two successive arrivals is;

$E(X) = \dfrac{1}{\lambda}$

$E(X) = \dfrac{1}{1}$

$E(X) = 1$

(b) The standard deviation of the time between successive arrivals is;

$\sigma_X = \sqrt{\dfrac{1}{\lambda^2}}$

$\sigma_X ={\dfrac{1}{\lambda}}$

$\sigma_X ={\dfrac{1}{1}}$

$\sigma_X =1$

P(X ≤ 1) = 1 - e⁻¹

P(X ≤ 1) = 0.6321

(d) P(2 ≤ X ≤ 5)

P(2 ≤ X ≤ 5) = [1 - e⁻⁵] - [1 - e⁻²]

P(2 ≤ X ≤ 5) = 0.9933 - 0.8647

P(2 ≤ X ≤ 5) = 0.1286

7 0

3 years ago

you are dealt one card from a standard 52 card deck. find the probability of being dealt a card greater than 2 and less than 8

Mnenie [13.5K]

The given range is comprised of cards with a value between 3 and 7, inclusive, and there are 4 of each from the available suits. So there are 20 cards that fit the bill.

The probability of drawing 1 such card is

$\dfrac{\binom{20}1}{\binom{52}1}=\dfrac{20}{52}=\dfrac5{13}$

8 0

3 years ago

In a certain school club, 40% of the members are boys. If there are 45 members in the club, how many of them are boys?

Anastasy [175]

Answer:

18 of them are boys

Step-by-step explanation:

40% = 40/100 = 0.40

0.40 × 45 = 18

3 0

4 years ago