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3 years ago

8

14 x 14 marks 1. The periodicity of the given decimal 15.732 is 2. Value of x in 2x - 7-35 is 3. An equation of the form ax + b

=0 or ax=b where a, b, are constants and a#0 is called equation 4. p/q form of the decimal 15.75 is

1 answer:

aleksandr82 [10.1K]3 years ago

5 0

Answer:

A) 2

b) x=26

c) linear equation

d) 63/4

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Rewa Delta Union Rugby CEO has become concerned about the slow pace of the rugby games played in the current union rugby, fearin

ozzi

Answer:

We conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

Step-by-step explanation:

We are given that Before the meeting, the mean duration of the 15-sided rugby game time was 3 hours, 5 minutes, that is, 185 minutes.

A random sample of 36 of the 15-sided rugby games after the meeting showed a mean of 179 minutes with a standard deviation of 12 minutes.

Let $\mu$ = <em><u>mean duration of 15-sided union rugby games after the meeting.</u></em>

So, Null Hypothesis, $H_0$ : $\mu \geq$ 185 minutes {means that the mean duration of 15-sided union rugby games has increased or remained same after the meeting}

Alternate Hypothesis, $H_A$ : $\mu$ < 185 minutes {means that the mean duration of 15-sided union rugby games has decreased after the meeting}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean duration of 15-sided union rugby games = 179 min

s = sample standard deviation = 12 minutes

n = sample of 15-sided rugby games = 36

So, <u><em>the test statistics</em></u> = $\frac{179-185}{\frac{12}{\sqrt{36} } }$ ~ $t_3_5$

= -3

The value of t test statistics is -3.

<u>Now, at 1% significance level the t table gives critical value of -2.437 at 35 degree of freedom for left-tailed test.</u>

Since our test statistic is less than the critical value of t as -3 < -2.437, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

6 0

4 years ago

Six pyramids are shown inside of a cube. The height of the cube is h units. The lengths of the sides of the cube are b.The area

Viefleur [7K]

Step-by-step explanation:

Cubes have square faces, so the area of the base is b².

The volume of the cube is b³.

The height of each pyramid is half the height of the cube, so h = b/2. Which means b = 2h.

The cube is made of 6 square pyramids with the same base and height. Therefore, each pyramid has 1/6 the volume of the cube. So the volume of each pyramid is b³/6.

8 0

3 years ago

What is the slope and y intercept of the linear equation y=5x-4

Wittaler [7]

The slope is 5
the y intercept is -4

slope intercept form is: y=mx+b

M is always the slope, b is the y intercept.

Hope I helped!

3 0

3 years ago

Write the equation of the line that passes through each pair of points in slope-intercept form. This is worth 3 points. You have

LekaFEV [45]

(0,5)(3,-1)
slope = (-1 - 5) / (3 - 0) = -6/3 = -2

y = mx + b
slope(m) = -2
(use either of ur points...(0,5)...x = 0 and y = 5
now we sub and find b, the y int
5 = -2(0) + b
5 = b

so ur line is : y = -2x + 5

6 0

3 years ago

Read 2 more answers

What the slope and y intercept ? and how did you find it ?

EastWind [94]

Answer:

Slope: $m=4$

y-intercept: $b=-1$

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.

The slope can be found with the following formula:

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

In this case you can say that:

$y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3$

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

$m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4$

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when $x=0$ , $y=-1$

Therefore, the y-intercept is:

$b=-1$

7 0

3 years ago