Quadrilateral Practice Test, I’ll give brainliest to the correct answer with explanation

Answers

Answer 1

Answer:

Answer:

120 Degrees

Step-by-step explanation:

Angle T and R are vertical angles meaning they are equal so combine the equations: 31x - 4 = 29x + 4, then solve using inverse operations

subtract 31x from both sides to get -4 = -2x + 4

Then subtract 4 from both sides to get -8 = -2x, now that we have isolated the variable we have to divide by -2 on both sides getting us x = 4, then plug in the four to the equation for angle R getting you 29 times 4 which equals 116 + 4 = 120

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A particular concentration of a chemical found in polluted water has been found to be lethal to 40% of the crayfish that are exposed to the concentration for 24 hours. 22 crayfish are placed in a tank containing this concentration of chemical in the water. (a) What is the probability that 13 or 17 survive?
(b) What is the probability that at least 17 survive?
(c) What is the probability that at most 16 survive?
(d) What number of crayfish are expected to survive?
(e) What is the variance in the number of crayfish that are expected to survive? No actual crayfish were harmed in the making of this question.

Answers

Answer:

a) $P(X=13)=(24C13)(0.4)^(13) (1-0.4)^(24-13)=0.0608$

$P(X=17)=(24C17)(0.4)^(17) (1-0.4)^(24-17)=0.0017$

$P(X=13 U X=17) = 0.0608+0.0017=0.0624$

b) $P(X \geq 17)=0.000427$

c) $P(X \geq 16)= 1-0.000427=0.9996$

d) $E(X)= np = 22*0.4=8.8$

e) $Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=24, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^(n-x)$

Where (nCx) means combinatory and it's given by this formula:

$nCx=(n!)/((n-x)! x!)$

3) Part a

$P(X=13)=(22C13)(0.4)^(13) (1-0.4)^(22-13)=0.0336$

$P(X=17)=(22C17)(0.4)^(17) (1-0.4)^(22-17)=0.00035$

$P(X=13 U X=17) = 0.0336+0.00035=0.0340$

4) Part b

$P(X \geq 17)=P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)$

$P(X=17)=(22C17)(0.4)^(17) (1-0.4)^(22-17)=0.00035$

$P(X=18)=(22C18)(0.4)^(18) (1-0.4)^(22-18)=0.0000651$

$P(X=19)=(22C19)(0.4)^(19) (1-0.4)^(22-19)=0.00000914$

$P(X=20)=(22C20)(0.4)^(20) (1-0.4)^(22-20)=0.000000914$

$P(X=21)=(22C21)(0.4)^(21) (1-0.4)^(22-21)=5.81x10^(-8)$

$P(X=22)=(22C22)(0.4)^(22) (1-0.4)^(22-22)=1.76x10^(-9)$

$P(X \geq 17)=0.000427$

5) Part c

$P(X \leq 16)=1-P(X>16)=1-P(X\geq 17) = 1-[P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)]$

$P(X \geq 16)= 1-0.000427=0.9996$

6) Part d

The expected value is:

$E(X)= np = 22*0.4=8.8$

7) Part e

The variance is given by:

$Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28$

(6*3 Square root ÷9=

Answers

So 6*3 is 18
The square root of 9 is 3
18/3 is 6
Answer is 6
Hope I helped:)

Suppose a stock is selling on a stock exchange for 6 3/4 dollars per share. If the price increases 3/4 per share, what is the new price of the stock? Leave your answer as a proper fraction or mixed number.

Answers

The new price of the stock which increases 3/4 per share is $ 7 1/2.

Given data:

A stock is selling on a stock exchange for 6 3/4 dollars per share.

If the price of the stock increases by 3/4 dollars per share, you can add 3/4 to the current price of 6 3/4 dollars per share:

6 3/4 + 3/4

To add the whole numbers and fractions separately:

6 + 0 + 3/4 + 3/4

Adding the whole numbers and fractions:

6 + 1 1/2

A = 7 1/2

Hence, the price of the new stock is $ 7 1/2

To learn more about fractions, refer:

brainly.com/question/29766013

#SPJ3

Step-by-step explanation:

If the price increases 3/4 per share, the new price of the stock =

6¾ + ¾ =

27 /4 + ¾ =

30 /4 =

15/2or7½

1 added by 1 is A. 2
B. 3
C. 5
D. 11
Explain your answer

Answers

Answer:

A. 2

Step-by-step explanation:

When adding two numbers, you are combining their values.

In this problem, you are combining the value of 1 with the value of 1. When you combine them, you are saying that you have two 1's. So in this problem, you combine both ones and get a final answer of 2.

Sin 64degrees=cos x what is the value of x?

Answers

sin 64 = cos x
cos x = 0.899
$x = { \cos}^( - 1) (0.899) = 26 \: degrees$

On Monday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times thenumber of hamburgers sold. How many hamburgers were sold on Monday?

Answers

Answer:

136 hamburgers

Step-by-step explanation:

Create an equation where x is the number of hamburgers sold.

The number of cheeseburgers sold can be represented by 3x, since it was 3 times the number of hamburgers.

3x + x = 544

Solve for x:

4x = 544

x = 136

So, 136 hamburgers were sold on Monday

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a home has a triangular backyard. The second angle of the triangle is 6 more than the first angle. The third angle is 14 more than three times the first angle. Find the angles of the triangular yard

Who can answer this(WITH AN EXPLANATION)will mark brainlest