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2 years ago

12

In a basketball game, Archie made 3/5 of his shots. Which numbered choice has a value that is the same as the ratio Archie made

in his game?

1 answer:

Step2247 [10]2 years ago

3 0

Answer:

0.6

Step-by-step explanation:

3/5=0.6

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Graph a line that contains the point (4,3) and has a slope 1/2

Roman55 [17]

Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

We can find "b" substituting the slope and coordinates of the (4,3) into thte equation $y=mx+b$ , and then solving for "b":

$3=\frac{1}{2}(4)+b\\\\3-2=b\\\\b=1$

By definition, the line intersects the x-axis when "y" is zero.

Then, we need to substitute the y-intercept and $y=0$ into $y=mx+b$ and then solve for "x" in order to find the x-intercept:

$0=\frac{1}{2}x+1\\\\-1(2)=x\\\\x=-2$

Knowing the x-intercept and the y-intercept, we can graph the line (The graph is attached)

6 0

3 years ago

Read 2 more answers

The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam

irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)$

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

$\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)$

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

4 0

3 years ago

What is the solution for the equation?<br> a+8/3=2/3

Readme [11.4K]

A+8/3 = 2/3
Or, (3a+8)/3 = 2/3 [taking LCM]
Or, 3a+8 = 2 [3 in both denominators are cancelled]
Or, 3a = 2-8
Or, a = -6/3
.•. a = -2,,

3 0

3 years ago

Find the equation of the line, where P is a point on the graph of the line. m=2/3 , P(3,5)

jeka57 [31]

Answer:

y = 2/3x + 3

Step-by-step explanation:

y - 5 = 2/3(x - 3)

y - 5 = 2/3x - 2

y = 2/3x - 2 + 5

y = 2/3x + 3

3 0

3 years ago

I need help pls, youl get a lot of points

lora16 [44]

Answer:

1st, 3rd and 4th

Step-by-step explanation:

Only 2nd is false

6 0

3 years ago