Write the next three terms of the arithmetic sequence <br> 1) -7, -14, -21, -28

Which statement(s) is (are) correct?

Anna71 [15]

Answer:

<em>statements 3 and 4 are correct.</em>

Step-by-step explanation:

(1)

The probability of choosing cured pasta and bear= probability that the card is king.

Hence, The probability of choosing cured pasta and bear= $\dfrac{4}{52}=\dfrac{1}{13}$

Probability of choosing baked cucumber and lime mutton=probability that the card is 3.

as there are 4 cards that are '3'.

Hence Probability of choosing baked cucumber and lime mutton= $\dfrac{4}{52}=\dfrac{1}{13}$

as both the probabilities are equal.

Hence statement 1 is incorrect.

(2)

The probability of choosing gooseberry & passion fruit cheesecake= Probability taht the card is ace.

as there are 4 cards which are ace out of 52 cards.

Hence, The probability of choosing gooseberry & passion fruit cheesecake= $\dfrac{4}{52}=\dfrac{1}{13}$

probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.

As there are 12 face cards out of 52 cards.

Hence, probability of choosing poached fennel & lemon alligator= $\dfrac{12}{52}=\dfrac{3}{13}$

Hence, the probability of choosing gooseberry and passion fruit cheesecake is smaller than the probability of choosing poached fennel & lemon alligator.

Hence statement 2 is false.

(3)

The probability of choosing a praline wafer=probability that the card is a diamond.

as there are 13 diamond cards out of 52 cards.

The probability of choosing a praline wafer= $\dfrac{13}{52}=\dfrac{1}{4}$

the probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.

As there are 12 face cards out of 52 cards.

Hence, probability of choosing poached fennel & lemon alligator= $\dfrac{12}{52}=\dfrac{3}{13}$

Hence, The probability of choosing a praline wafer is greater than the probability of choosing poached fennel & lemon alligator.

Hence statement 3 is correct.

(4)

The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.

As there are 26 red cards out of 52 cards.

Hence,

The probability of choosing pressure-cooked mushroom & garlic chicken = $\dfrac{26}{52}=\dfrac{1}{2}$

probability of choosing an oven-baked apple & lavender calzone =probability that the card is black.

As there are 26 red cards out of 52 cards.

Hence, probability of choosing an oven-baked apple & lavender calzone= $\dfrac{26}{52}=\dfrac{1}{2}$

Hence, The probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing an oven-baked apple & lavender calzone are the same.

Hence statement 4 is true.

(5)

The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.

As there are 26 red cards out of 52 cards.

Hence,

The probability of choosing pressure-cooked mushroom & garlic chicken = $\dfrac{26}{52}=\dfrac{1}{2}$

the probability of choosing a praline wafer=probability that the card is a diamond.

as there are 13 diamond cards out of 52 cards.

The probability of choosing a praline wafer= $\dfrac{13}{52}=\dfrac{1}{4}$

Hence, the probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing a praline wafer are not same.

Hence, statement 5 is not correct.

6 0

4 years ago

What’s equivalent to 5X -20 minus X +9

slega [8]

Answer:

No answer

Step-by-step explanation:

5x-20-X+9

7x-20+9

7x-11

5 0

3 years ago

Question is below in picture

Ivan

It's $x^{2} +6x+1
/x(x+2)$ because this choice made the most since.

4 0

3 years ago

Let's assume for a moment that we are standing at the origin and the positive y-axis points due North while the positive x-axis

steposvetlana [31]

Answer:

The coordinates of his position is (-6,-8).

Step-by-step explanation:

Consider the provided information.

Let's assume for a moment that we are standing at the origin and the positive y-axis points due North while the positive x-axis points due East.

North represents the positive y axis, then south will represents the negative y axis.

It is given that the east represents the positive x axis then west represents the negative x axis.

Sasquatch-o-meter tells us that Sasquatch is 6 miles West and 8 miles South of our current position.

6 miles west represents a x=-6 and also 8 miles south represents y=-8

Thus, the coordinates of his position is (-6,-8).

4 0

4 years ago

Write the equation for Chelsea's graph in

xeze [42]

Answer:

$y=-4x+16$ .

Step-by-step explanation:

From the given graph it is clear that the y-intercept is 16.

The line passes through (-2,24) and (2,8). So, slope of line is

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

$Slope=\dfrac{8-24}{2-(-2)}$

$Slope=\dfrac{-16}{4}$

$Slope=-4$

Slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept.

Substitute m=-4 and b=16 in the above equation.

$y=(-4)x+(16)$

$y=-4x+16$

Therefore, the required equation is $y=-4x+16$ .

6 0

3 years ago

Write the next three terms of the arithmetic sequence 1) -7, -14, -21, -28