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3 years ago

Given that y varies directly with x and y = 42 when x = 14, find y when x =90.

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Direct Variation equation: y=kx, k=y/x
42/14=3
k=3
y=3x
y=3(90)
y=270

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An expirement consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Expr

ExtremeBDS [4]

Answer:

$\dfrac{1}{12}$

Step-by-step explanation:

Given:

Two fair number cubes i.e. two dice consisting the numbers 1, 2, 3, 4, 5, 6 on their faces and have equal probability of each number.

The dice are rolled.

To find:

Probability of getting the sum of two numbers as 4.

Solution:

First of all, let us have a look at the total possibilities when two dice are rolled:

([1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6])

These are total 36 possible outcomes.

For getting a sum as 4:

Possible number of favorable cases are 3 (as highlighted in BOLD in above)

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Required probability is:

$\dfrac{3}{36} = \bold{\dfrac{1}{12}}$

5 0

3 years ago

Pls help , giving brainliest

11111nata11111 [884]

Answer:

(-5),-2)=-7

(-5,-6)=-11

is 77 all

8 0

3 years ago

Read 2 more answers

8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

1 | 0 | 1

2 | 0 | 2

1 | 1 | 2

2 | 1 | 3

Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

The conditions above shall comply the requirements established, but first, analyzing the statement:

If $a \geq 0$ and $b \geq 0$ then $a + b \geq a$ , $a + b \geq b$ and $a + b \geq 0$ .

If $a = 0$ and b a non negative real number, then $a + b \geq b$ , but because to $a = 0$ , then $a + b = b$ . Due to the commutative property of sums, the same behavior will be presented if $b = 0$ and a a non negative real number.

According to that, if $a + b = 0$ , then $a = 0$ and $b = 0$ .

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3 years ago

The dot plot below shows the number of cakes 31 chefs made in a week: Dot plot labeled Number of Cakes Made shows 4 dots over 1,

Paraphin [41]

The median, because the data is not symmetric and there are outliers is the data is not symmetric and there are outliers.

The median of the data set is 8 cakes, while the average is 7.5.

However, 21 of the 31 chefs, or roughly 2/3, made 8 or more cakes. This makes the median a better center for this data, since the data is clearly skewed. The four chefs that made 1 cake each brings the average down, skewing the mean and making the median a better representation of the data.

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-4x+3x<4 what is the awenswer to this equation

AlladinOne [14]

Answer:

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Step-by-step explanation:

Collect the like terms which literally leaves you with -x<4

Then just changes the signs, hence the answer.

Please mark brainliest!

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3 years ago