1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ExtremeBDS [4]
3 years ago
15

The measures of two interior angles of a triangle are 67° and 102°. What is the measure of the third angle?

Mathematics
2 answers:
Citrus2011 [14]3 years ago
8 0

Answer:

The Answer To Your Question is A. 11

Step-by-step explanation:

Step One. 67 + 102 = 169

After Doing That We Get 180<u> </u><u>Because All Triangles</u>

<u>Are 180 Degrees.</u>

Step Two.  180 - 169 = 11

That's How You Get The Answer To This Question And Every Other

Question That Questions You To Find The Missing Angle/s.

marissa [1.9K]3 years ago
5 0
67+102 is 169 and 180-169 is 11, so the answer is a
You might be interested in
Table of value y = -4x - 12
Scorpion4ik [409]
X Y
————-
-2. -4
-1. -8
0. -12
1. -16
2. -20
8 0
2 years ago
Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that
Mekhanik [1.2K]

Answer:

Since n(1-p) = 3.72 < 10, the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

np \geq 10 and n(1-p) \geq 10

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.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

Out of 124 software users

This means that n = 124

Assume the probability that a given software user will call technical support is 97%.

This means that p = 0.97

Conditions:

np = 124*0.97 = 120.28 \geq 10

n(1-p) = 124*0.03 = 3.72 < 10

Since n(1-p) = 3.72 < 10, the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

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

P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

3 0
3 years ago
3 yards of fabric for $13.47
kumpel [21]
Are you looking for the unit price?

If so, you would divide 13.47 by 3.

This would give you $4.49 per yard.
5 0
3 years ago
Read 2 more answers
Rearrange the formula to make x the subject.<br><br> y = 4x + 3
allochka39001 [22]

Answer:

x=\frac{y-3}{4}

Step-by-step explanation:

y=4x+3

y-3=4x

\frac{y-3}{4}=x

x=\frac{y-3}{4}

4 0
3 years ago
Read 2 more answers
Geometry help! Please prove the following is a square with full explanation, I'm really lost.
Hoochie [10]

We have to show that this is a square, meaning all the sides are perpendicular and the same distance.  

A(3,4), B(2,-2), C(-4,-1), D(-3,5)

For each side we calculate the squared distance and the slope.  We don't have to bother to take the square root.  We'll subtract the points first because that difference, called the direction vector, goes into both the calculation of the slope and of the distance.

AB=B-A=(2 - 3, -2 - 4) = (-1, -6).   slope=-6/-1=6  AB²=(-1)²+(-6)²=37

BC=C-B=(-6, 1).  slope=1/-6=-1/6.   BC²=(-6)²+1²

CD=D-C=(1, 6).   slope=6/1=6    CD²=1²+6²=37

DA=A-D=(6,-1)   slope=-1/6     DA²=37

We see the negative reciprocal slopes, alternating between 6 and -1/6, indicating perpendicular sides.  We see they all have squared distance 37.  Equal perpendicular sides proves its a square.

If we do these problems enough we learn:  There's no point taking the square root.  In fact, there's really no point computing the slopes and the squared distances; we can see it's a square from the pattern of the direction vectors of the sides:  (-1, -6) (-6, 1) (1, 6) (6,-1)

5 0
3 years ago
Other questions:
  • How do you convert 7/20 to a percent
    7·2 answers
  • The roots of an equation are x = -1 ± i. The equation is:<br> x2 + _____ + 2 = 0.
    14·1 answer
  • F(x) =-2x^5+3x^2-5 what is the right end behavior? Increasing or decreasing?
    12·1 answer
  • the deepest point in the indian ocean is the java trench, which is 25,344 feet below sea level. elevations below sea level are r
    13·1 answer
  • 60-5t is no more than 35 -5t is no more than -25t is at least 5 solve with correct answer
    9·1 answer
  • What should be done to both sides of the equation in order to solve p - 17 = -23?
    8·1 answer
  • Can someone please help me
    5·1 answer
  • If I toss a fair coin in real life and I get two heads in a row, does that change the probability of getting one tail in every t
    8·1 answer
  • Manny ran a total of 77 miles over the course of 7 track practices. How many track practices would it take for Manny to run 99 m
    15·1 answer
  • So if Johnny had 3×6 amount if dish soap. How much dish soap would he have?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!