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3 years ago

J(4,3) and k(2,-3) find the midpoint

1 answer:

6 0

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ J(\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\qquad K(\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{2+4}{2}~~,~~\cfrac{-3+3}{2} \right)\implies \left( \cfrac{6}{2}~~,~~\cfrac{0}{2} \right)\implies (3~~,~~0)$

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A bus is travelli ng with the velo ci ty of 60 km/hr . Pressin g the bra kes sud denly, it is reta rde d to 0.05 m/s2 . How fa r

solong [7]

Step-by-step explanation:

Initial velocity(u) = 60 km/hr = 50/3 m/s

final velocity(v)= 0 (stops at rest)

acceleration(a) = -0.05 m/s²

display (s)=?

v²-u²=2as

0²- (50/3)= 2(-0.05)s

2500/9= 0.1s

s= 25000/9 m

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2 years ago

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determin

egoroff_w [7]

Answer:

no solution

Step-by-step explanation:

X cannot equal itself minus 5, in the same way if we replace it by let's say, 6...

6 does not equal 6-5 (1)........ and by the way in this specific equation 6 is just an example it does not matter what you replace it with, x can never = x-5

Hope this helped! Good Luck!

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4 years ago

An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answ

jenyasd209 [6]

The volume of the cone is 20.95in³

5 0

4 years ago

Read 2 more answers

what are the explicit equation and domain for a geometric sequence with a first term of 5 and a second term of -10

OleMash [197]

$a_1=5;\ a_2=-10;\ r=a_2:a_2\to r=-10:5=-2\\\\a_n=a_1r^{n-1}\\\\\boxed{a_n=5\cdot(-2)^{n-1}}$

6 0

3 years ago

Read 2 more answers

A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class

KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

Let p = percentage of seniors who skip their classes.

So, Null Hypothesis, $H_0$ : p $\leq$ 2% {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, $H_A$ : p > 2% {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of seniors who skipped their classes = $\frac{77}{2521}$

n = sample of classes = 2521

So, test statistics = $\frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }$

= 3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0

4 years ago