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2 years ago

The table represents a linear function

Mathematics

2 answers:

Feliz [49]2 years ago

8 0

Answer:

Step-by-step explanation:

.......................

Harrizon [31]2 years ago

3 0

Answer:

Step-by-step explanation:

The formula of to calculate slope of a linear function is

$m=\frac{y_2-y_1}{x_2-x_1}$

where m is the slope and so lets take any two points from the table to calculate the slope. Lets take,

(0 , 4) and (1 , 7) and lets plug it in the formula

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{7-4}{1-0}\\\\m=3$

So the slope of the function is 3

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Reuben has scores of 70,75,83, and 80 on four spanish quizzes. what score must he get on the next quiz to achieve an average of

Sergio [31]

X - the score he must get

$\frac{70+75+83+80+x}{5} \geq 80 \\
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He must get at least 92 points.

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2 years ago

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tia_tia [17]

Answer:

x=38.5

Step-by-step explanation:

$\sqrt{23^{2}- 18^{2}} =\sqrt{205}$

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2 years ago

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Solve. 9(4h - 6) = 2( -13 - 2h)

Afina-wow [57]

Answer: h= 7/10

Step-by-step explanation:

9(4h - 6 ) = 2(-13 - 2h) Distribute on both sides

9(4h) + 9(-6) = 2(-13) + 2(-2h)

36h - 54 = -26 - 4h Add 4h to both sides

+4h +4h

40h - 54 = -26 Add 54 to both sides

+54 +54

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3 years ago

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Find the center and radius for the circle defined by the equation: x2+y2+1/2x-2y-5=0.

iren2701 [21]

Answer:

(x + [1/4])2 + (y - 1)2 = (97/16)

Step-by-step explanation:

(x + [1/4])2 + (y - 1)2 = (97/16)

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2 years ago

The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is

lana66690 [7]

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}$

Where:

${\hat{p}$ = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

$z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99$

Therefore;

${\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}$

${\hat{p}$ = 0.6057

$Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} = \dfrac{Number \ of \ heads}{200} = 0.6057$

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

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2 years ago