What is the measure angle of 3 ?
The measure angle of 4?
What is the measure angle of 3 ? The measure - 1

Answers

Answer 1
Answer: Answer:
Angle 4=83
Angle 3=46

Explanation:
For angle 4- Angles in a triangle add to 180 degrees
46+51=97 180-97=83
For angle 3- angles on a straight line add to 180 degrees
51+83=134 180-134=46

I hope this helped :)

Related Questions

Find the zeros of the functionk(x) = -5x² - 125The zeros of k are x= □ and x= □​
1 For a recipe, Paul uses 3 cups of sugar for every 4 cups of flour. Which table showsequivalent ratios for this recipe?
6^3x=14 Show your work
Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *3 x 4/5: options*2 3/5*1 2/5*2 1/5*2 2/5
Product of 6 and 6r and the product of 8s and 4

Solve the system of inequalities by graphing.
12x + 4y = 10
4x - 8y > 8

Answers

Answer:

x+1<3 , x-2<4

Step-by-step explanation:

Megan is thinking of a number that is divisible by both 9 and 12 what is the smallest possible number that Megan is thinking

Answers

Answer:

36

Step-by-step explanation

9x4=36

12x3=36

Answer:

The smallest possible number Megan is thinking, is 36.

Step-by-step explanation:

In order to answer this question, you have to find the LCM of 9 and 12.

9 = 3 x 3 (simplified)

12 = 3 x 4 (simplified)

This means that 3 and 4 are both common factors in these two numbers.

Now, multiply the common factors with the uncommon factor.

3 is an common factor, and 4 is an uncommon factor

Hence, we do 3 x 3 x 4 which is equal to 36

Identify the vertex, axis of symmetry, maximum orminimum, and domain and range of the function
2x² – 5x + 3 = m(x)

Answers

Answer:

  • vertex: (1.25, -0.125)
  • axis of symmetry: x = 1.25
  • minimum: -0.125
  • domain: all real numbers
  • range: y ≥ -0.125

Step-by-step explanation:

For quadratic ax² +bx +c, the axis of symmetry is x = -b/(2a). For your function, a=2, b=-5, c=3 and the axis of symmetry is ...

  x = -(-5)/(2(2)) = 5/4 = 1.25

The vertex is on the axis of symmetry. The y-value there is ...

  m(5/4) = (2(5/4) -5)(5/4) +3 = (-5/2)(5/4) +3 = -25/8 +24/8 = -1/8

The vertex is (5/4, -1/8).

The axis of symmetry is x = 5/4.

The leading coefficient is positive, so the parabola opens upward. The vertex is a minimum.

The minimum is -1/8.

The function is defined for all values of x, so ...

the domain is all real numbers.

Values of y can only be -1/8 or greater, so ...

the range is y ≥ -1/8.

A high school auditorium seats 110 people. The school play has 106 people in attendance leaving 4 seats empty.because the order in which
There are
the seats are chosen
ways that 4 seats can be left empty in the auditorium. This is a
important.

Answers

Answer:

5773185

Step-by-step explanation:

There are 110 seats

110 ways to choose the first empty seat

Now there are 109 seats

109 ways to choose the next empty seat

Now there are 108 seats

108 ways to choose the next empty seat

Now there are 107 seats

110*109*108*107=138556440

Now the order of the empty seats doesn't matter so we need to divide by 4!

138556440/ 4!

138556440/ 24

5773185

Final answer:

In this mathematics problem, we are asked to determine the number of ways that 4 seats can be left empty in a high school auditorium that seats 110 people. We can use the concept of combinations to solve this.

Explanation:

In this problem, we are asked to determine the number of ways that 4 seats can be left empty in a high school auditorium that seats 110 people. To solve this, we can use the concept of combinations. The total number of ways to choose 4 seats out of 110 is represented by the combination formula: C(110, 4). To calculate this, we can use the formula: C(n, r) = n! / (r!(n - r)!), where n is the total number of seats and r is the number of seats left empty. Plugging in the values, we have C(110, 4) = 110! / (4!(110 - 4)!).

Using a calculator, we can simplify this expression and calculate the answer.

Learn more about combinations here:

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Give the numerical value of the parameter p in the following binomial distribution scenarioA softball pitcher has a 0.721 probability of throwing a strike for each pitch and a 0.279 probability of throwing a ball. If the softball pitcher throws 19 pitches, we want to know the probability that more than 15 of them are strikes.

Answers

Answer:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)

P(X=16)=(19C16)(0.721)^(16) (1-0.721)^(19-16)=0.112  

P(X=17)=(19C17)(0.721)^(17) (1-0.721)^(19-17)=0.051  

P(X=18)=(19C18)(0.721)^(18) (1-0.721)^(19-18)=0.015  

P(X=19)=(19C19)(0.721)^(19) (1-0.721)^(19-19)=0.002  

And replacing we got:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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!)  

Solution to the problem

For this case our random variable is given by:

X \sim Binom(n = 19, p = 0.721)

For this case we want this probability:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)

P(X=16)=(19C16)(0.721)^(16) (1-0.721)^(19-16)=0.112  

P(X=17)=(19C17)(0.721)^(17) (1-0.721)^(19-17)=0.051  

P(X=18)=(19C18)(0.721)^(18) (1-0.721)^(19-18)=0.015  

P(X=19)=(19C19)(0.721)^(19) (1-0.721)^(19-19)=0.002  

And replacing we got:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801

P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

Final answer:

In this binomial distribution scenario, the parameter 'p', representing the probability of success on each trial, is the probability of the pitcher throwing a strike, which is 0.721.

Explanation:

In the binomial distribution scenario you described, the softball pitcher throwing a pitch is the independent trial with two possible outcomes: throwing a strike (success) or a ball (failure). The parameter p represents the probability of success on each independent trial. From the question, we can see that the probability, or p, of the pitcher throwing a strike (success) is 0.721. Therefore, p = 0.721.

Please note that the binomial distribution model can be used when all trials are independent, the outcome of a trial is success or failure, and the probability of success remains the same for each trial. It doesn't appear that we need the number 'n' of independent trials or the random variable 'X' representing the number of successes (strikes in this case) for your question, as we were only asked for the value of 'p'.

Learn more about Binomial Distribution here:

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Solve the following inequality for k. Write your answer in simplest form.4k + 2(3k + 8) <3k + 10 – 8

Answers

Answer:

k < -2

Step-by-step explanation:

Step 1: Write inequality

4k + 2(3k + 8) < 3k + 10 - 8

Step 2: Solve for k

  1. Distribute: 4k + 6k + 16 < 3k + 10 - 8
  2. Combine like terms: 10k + 16 < 3k + 2
  3. Subtract 3k on both sides: 7k + 16 < 2
  4. Subtract 16 on both sides: 7k < -14
  5. Divide both sides by 7: k < -2

Answer:

10k+16<3k+2

10k-3k+16<2

7k<2-16

k<-2