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3 years ago

14

Pls answer i’ll give brainliest

1 answer:

oee [108]3 years ago

4 0

Answer:

PQR and JK

Step-by-step explanation:

ΔGHJ ≈ ΔPQR by the Transitive Property of Congruence. GH ≈ JK since corresponding parts of congruent figures are congruent.

Pls mark as brainliest. I would really appreciate it if you did.

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What is the value of the expression? <br> 5(-4)-(10+5)

andrew-mc [135]

Answer:

35

Step-by-step explanation:

4 0

2 years ago

Tara has two standard, six-sided dice. If she rolls them 36 times, how many times should she expect a sum less than 5 to show up

andreyandreev [35.5K]

There are six sides on each die. For each possible score on Die 1, there are six possible scores on Die 2. So the number of possible combinations is 6*6 = 36.
<span>It follows that if the dice are thrown 36 times, you would expect each combination to come up once. </span>

<span>We therefore simply need to know how many combinations add up to less than 5. (I've interpreted this as not including a total of 5 itself). </span>
<span>These combinations are: 1 and 1, 2 and 1, 1 and 2, 2 and 2, 3 and 1, and 1 and 3 ---> six combinations out of 36. </span>

<span>So you'd expect a sum less than 5 six times. </span>

8 0

3 years ago

Passing through (-2,1 ) and perpendicular to<br> 4x + 7y + 3 = 0.

Lunna [17]

Answer:

<h2>7x - 4y + 18 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

========================================

Let

$k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2$

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

$4x+7y+3=0$ <em>subtract 7y from both sides</em>

$4x+3=-7y$ <em>divide both sides by (-7)</em>

$-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}$

Therefore

$m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}$

We have the equation:

$y=\dfrac{7}{4}x+b$

Put the coordinates of the point (-2, 1) to the equation, and solve for <em>b</em> :

$1=\dfrac{7}{4}(-2)+b$

$1=-\dfrac{7}{2}+b$ <em>multiply both sides by 2</em>

$2=-7+2b$ <em>add 7 to both sides</em>

$9=2b$ <em>divide both sides by 2</em>

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ - <em>slope-intercept form</em>

Convert to the general form:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ <em>multiply both sides by 4</em>

$4y=7x+18$ <em>subtract 4y from both sides</em>

$0=7x-4y+18$

6 0

3 years ago

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to fi

Keith_Richards [23]

Answer:

P(X = 12) = 0.0064.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 30, p = 0.2$

We want P(X = 12). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{30,12}.(0.2)^{12}.(0.8)^{18} = 0.0064$

P(X = 12) = 0.0064.

6 0

3 years ago

Please help<br><br> See the picture <br><br><br> Line A , B , C OR D ?<br><br> Help

emmainna [20.7K]

Answer:

It's the one on the bottom left

Step-by-step explanation:

8 0

3 years ago