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2 years ago

The vertices of a triangle are A(7, 5), B(4, 2), and C(9, 2). What is m°

Mathematics

1 answer:

natulia [17]2 years ago

4 0

Slope of AB = (5 - 2)/(7 - 4) = 3/3 = 1
slope of BC = (2 - 2)/(4 - 9) = 0

m<span>∠ABC = arctan 1 = 45°

</span>

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Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean len

Marina86 [1]

Answer:

Step-by-step explanation:

Hello!

You need to construct a 95% CI for the population mean of the length of engineering conferences.

The variable has a normal distribution.

The information given is:

n= 84

x[bar]= 3.94

δ= 1.28

The formula for the Confidence interval is:

x[bar]± $Z_{1-\alpha/2}$ *(δ/n)

Lower bound(Lb): 3.698

Upper bound(Ub): 4.182

Error bound: (Ub - Lb)/2 = (4.182-3.698)/2 = 0.242

I hope it helps!

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2 years ago

Nancy used 14 yards of fabric to make flags for one third of the drill team. How much fabric would Nancy need to make flags for

Kipish [7]

If all the flags use material at the same rate, Nancy will need 3 times the fabric to make 3 times the number of flags. Nancy needs 3×(14 yd) = 42 yd for the whole team.

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2 years ago

Read 2 more answers

Given f(x)=x−1−−−−√+2, what is the relationship between f(x) and f−1(x)? Drag and drop an inequality into each box to correctly

vekshin1

Answer:

The domain of f(x) is x>-2, so the range of f-1(x) is y>-2

The range of f(x) is y>-1, so the domain of the f-1(x) is x>-1

Step-by-step explanation:

8 0

2 years ago

Approximately 80,000 marriages took place in the state of New York last year. Estimate the probability that for at least one of

sasho [114]

Answer:

a)0,45119

b)1

Step-by-step explanation:

For part A of the problem we must first find the probability that both people in the couple have the same birthday (April 30)

$P=\frac{1}{365} *\frac{1}{365}=\frac{1}{133225} \\$

Now the poisson approximation is used

λ=nP=80000*1/133225=0,6

Now, let X be the number of couples that birth April 30

P(X ≥ 1) =

1 − P(X = 0) =

$1-\frac{(e^-0.6)*(-0,6)^{0} }{0!}$

P(X ≥ 1) = 0,45119

B) Now want to find the

probability that both partners celebrated their birthday on th, assuming that the year is 52 weeks and therefore 52 thursday

$P=52*\frac{1}{365} *\frac{1}{365}=\frac{52}{133225} \\$

Now the poisson approximation is used

λ=nP=80000*52/133225=31.225

Now, let X be the number of couples that birth same day

P(X ≥ 1) =

1 − P(X = 0) =

$1-\frac{(e^-31.225)*(-31.225)^{0} }{0!}$

P(X ≥ 1) = 1

6 0

2 years ago

Sin70cos10-cos70sin10

ololo11 [35]

We know that sin(a-b) = sina.cosb - cosa.sinb

if a=70 & b=10 the sin(70-10) = sin(60) = √3/2

Sin70cos10-cos70sin10 = sin60 = √3/2

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2 years ago