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2 years ago

What is the approximate length of RP? Round to the nearest tenth. 5. 6 units 6. 1 units 8. 3 units 9. 8 units.

Mathematics

1 answer:

kirza4 [7]2 years ago

6 0

The apporoximate length of the RP is 6.1 units, the correct option is B.

<h3>What is Pythagoras theorem?</h3>

The Pythagoras theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle.

Given

QR is the tangent to circle P at point Q.

QP = 3 units and QR = 5,.3 units

The length of the RP is given by;

$\rm RP=\sqrt{QP^2+QR^2} \\\\RP=\sqrt{3^2+5.3^2}\\\\ RP=\sqrt{9+28.09} \\\\RP=\sqrt{37.09}\\\\RP= 6.1 \ units$

Hence, the apporoximate length of the RP is 6.1 units.

To know more about Pythagoras theorem click the link given below.

brainly.com/question/11526258

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Two statistics teachers both believe that each has the smarter class. To put this to the test, they give the same final exam to

SVETLANKA909090 [29]

Answer:

We conclude that there is no difference between the two classes.

Step-by-step explanation:

We are given that two statistics teachers both believe that each has a smarter class.

A summary of the class sizes, class means, and standard deviations is given below:n1 = 47, x-bar1 = 84.4, s1 = 18n2 = 50, x-bar2 = 82.9, s2 = 17

Let $\mu_1$ = mean age of student cars.

$\mu_2$ = mean age of faculty cars.

So, Null Hypothesis, $H_0$ : $\mu_1=\mu_2$ {means that there is no difference in the two classes}

Alternate Hypothesis, $H_A$ : $\mu_1\neq \mu_2$ {means that there is a difference in the two classes}

The test statistics that will be used here is Two-sample t-test statistics because we don't know about the population standard deviations;

T.S. = $\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ~ $t_n_1_+_n_2_-_2$

where, $\bar X_1$ = sample mean age of student cars = 8 years

$\bar X_2$ = sample mean age of faculty cars = 5.3 years

$s_1$ = sample standard deviation of student cars = 3.6 years

$s_2$ = sample standard deviation of student cars = 3.7 years

$n_1$ = sample of student cars = 110

$n_2$ = sample of faculty cars = 75

Also, $s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }$ = $\sqrt{\frac{(47-1)\times 18^{2}+(50-1)\times 17^{2} }{47+50-2} }$ = 17.491

So, the test statistics = $\frac{(84.4-82.9)-(0)}{17.491 \times \sqrt{\frac{1}{47}+\frac{1}{50} } }$ ~ $t_9_5$

= 0.422

The value of t-test statistics is 0.422.

Now, the P-value of the test statistics is given by;

P-value = P( $t_9_5$ > 0.422) = From the t table it is clear that the P-value will lie somewhere between 40% and 30%.

Since the P-value of our test statistics is way more than the level of significance of 0.04, so we have insufficient evidence to reject our null hypothesis as our test statistics will not fall in the rejection region.

Therefore, we conclude that there is no difference between the two classes.

6 0

3 years ago

An artist is arranging tiles in rows to decorate a wall. Each new row has 2 fewer tiles than the row below it. If the first row

miss Akunina [59]

Okay, after I explain the process of finding the answer to this, it will be easier for you! First, you shold understand the key words to math. In this question, fewer is the key word. And fewer means less, so subtraction. Every new row has 2 FEWER tiles than the row below it. So we now to to subtract 2 from EVERY NEW row. So, if the first row has 23 tiles how many tiles will be in the next row. Well, all we have to do is 23 - 2 = 21! There is your answer, I hope I am correct!

(It is your choice to go with my answer being correct or not. I absolutely WILL NOT, and CAN NOT take responsibility for your question being incorrect. Again, it is YOUR choice to choose whether or not you go with my answer. Thank you!) :)

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3 years ago

A small organism with a length of 7.5x10^-6 meter tripled in size. Write the new length in standard notation.

Olegator [25]

l = 7.5 * 10^-6

3l = 3* (7.5* 10^-6)

= 22.5 * 10^-6

000022.5 * 10^-6

move the decimal 6 places to the left

.0000225 meters

Answer: .0000225 meters

3 0

3 years ago

When the beam makes an angle of 40

egoroff_w [7]

A construction crew wants to hoist a heavy
beam so that it is standing up straight. They
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pull the rope through a pulley to raise one
end of the beam from the ground. When
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ground, the top of the beam is 8 ft above
the ground.
Th e construction site has some telephone
wires crossing it. Th e workers are
concerned that the beam may hit the wires.
When the beam makes an angle of 60 degrees with
the ground, the wires are 2 ft above the top
of the beam. Will the beam clear the wires
on its way to standing up straight?

Math - Steve Thursday, April 16, 2015 at 6:22pmwe see that the length of the beam is

8/sin40 = 12.45 ft

At 60 degrees, the top is

12.45sin60 = 10.78 ft high

So, the wire is 12.78 ft up.

Since the beam is only 12.45 ft long, it will not touch the wires.

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3 years ago

Is radical 27 a rational or iffational number

ad-work [718]

Radical 27 is an irrational number and here's why.

Radical 27 can be simplified to 3 radical 3, or 3 times radical 3.
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Hope this helps!

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3 years ago