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3 years ago

Solve by substitution. X = y + 3 3x + y = 25

1 answer:

3 0

1.distribute
3y+9+y=25
2. combine like terms
4y+9=25
3. subtract 9 from both sides
4y=16
4. divide
Solution: y=4
and for X it would be
X= (4) +3
X=7
so the Final solution is (7,4)

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Given m∠12 + m∠15=180°

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Answer:

the answer is choice 3

c is parallel to d by the converse of the same side interior angles theorem

Step-by-step explanation:

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4 years ago

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M∠QRS=59° and m∠TUV=31° . Which statement is true about ∠QRS and ∠TUV ?

Svetlanka [38]

B the angles are complementary
mark this as brainiest answer please

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3 years ago

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Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes. If 11 adult smartphone us

Luba_88 [7]

Answer:

The probability is 0.2356.

Step-by-step explanation:

Let X is the event of using the smartphone in meetings or classes,

Given,

The probability of using the smartphone in meetings or classes, p = 51 % = 0.51,

So, the probability of not using smartphone in meetings or classes, q = 1 - p = 1 - 0.51 = 0.49,

Thus, the probability that fewer than 5 of them use their smartphones in meetings or classes.

P(X<5) = P(X=0) + P(X=1) + P(X=2) + P(X=3)+P(X=4)

Since, binomial distribution formula is,

$P(x) = ^nC_r p^x q^{n-x}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

Here, n = 11,

Hence, the probability that fewer than 5 of them use their smartphones in meetings or classes

$=^{11}C_0 (0.5)^0 0.49^{11}+^{11}C_1 (0.5)^1 0.49^{10}+^{11}C_2 (0.5)^2 0.49^{9}+^{11}C_3 (0.5)^3 0.49^{8}+^{11}C_4 (0.5)^4 0.49^{7}$

$=(0.5)^0 0.49^{11}+11(0.5)0.49^{10} + 55(0.5)^2 0.49^{9}+165 (0.5)^3 0.49^{8} +330(0.5)^4 0.49^{7}$

$=0.235596671797$

$\approx 0.2356$

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4 years ago

Hey guys! I’m having a lot of trouble with this paper, would anyone mind explaining one of them to me?

lyudmila [28]

Answer: See Explanation

Step-by-step explanation:

This worksheet seems to be about "Special Right Triangles"

In this worksheet, it instructs you to find the missing side lengths.

Explaining number 1)

Step 1) Identifying the triangle and what it means

Since the triangle in number one is a 45-45-90 triangle with the given side length of "1" on one of the legs of the triangle, it can be concluded that the other leg also has a side length of "1" (due to the ratio of side on a 45-45-90 degree triangle), is also states the triangle has 45 degrees labeled on one of the angles, is can also be concluded that the other missing angle is 45 degrees.

Step 2) Answer

The answer to b is 1 and the answer to a is square root of 2, due to the properties of a 45 45 90 triangle (refer attachment)

*you can also use the following attachment to help you on this problem