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3 years ago

Find m angle TUV if m angle TUN=1+38 pi m angle NUV=66^ m angle TUV=105x

Mathematics

1 answer:

ipn [44]3 years ago

5 0

Answer:

m∠TUV = 105

Step-by-step explanation:

From the question given above, the following data were obtained:

m∠TUN = 1 + 38x

m∠NUV = 66°

m∠TUV = 105x

m∠TUV =?

Next, we shall determine the value of x. This can be obtained as illustrated below:

m∠TUV = m∠TUN + m∠NUV

105x = (1 + 38x) + 66

105x = 1 + 38x + 66

Collect like terms

105x – 38x = 1 + 66

67x = 67

Divide both side by 67

x = 67 / 67

x = 1

Finally, we shall determine the value of m∠TUV. This can be obtained as shown below:

m∠TUV = 105x

x = 1

m∠TUV = 105(1)

m∠TUV = 105

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viktelen [127]

Answer:

1) 0.1504

2) 0.432

Step-by-step explanation:

1) The given information are;

The proportion of the morning appointments that are with elderly patients = 60%

The number of patients in the appointments = 10 patients

The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%

The binomial probability distribution is given as follows;

$P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}$

$P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}$ = 0.000105

$P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}$ = 0.0016

$P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}$ = 0.01062

$P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}$ = 0.0425

The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504

2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows

$P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}$ = 0.432

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3 years ago

Write the first six terms of the sequence, beginning with n=1. a(n)=60n Enter the numbers, separated by commas.

Sever21 [200]

Answer:

60, 120, 180, 240, 300, 360

Step-by-step explanation:

a(n)=60n

At n =1

a(1) = 60(1) = 60

At n = 2

a(2) = 60(2) = 120

At n = 3

a(3) = 60(3) = 180

At n = 4

a(4) = 60(4) = 240

At n = 5

a(5) = 60(5) = 300

At n = 6

a(6) = 60(6) = 360

60, 120, 180, 240, 300, 360

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3 years ago

Marco walked 27/100 kilometers to the park. Then he walked 3/10 kilometers to the library. What fraction of a kilometer did he w

vladimir2022 [97]

Answer:

57/200 Km

Step-by-step explanation:

3/10*10= 30/100

30/100+27/100=57/200km

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4 years ago

What is the value of x to the nearest degree? 48 42 84 24

Cerrena [4.2K]

Answer:

The value of the angle x is 48°.

Step-by-step explanation:

Base of the triangle = 10

Height of the triangle = 11

$\tanx =\frac{Height}{Base}$

$\tanx =\frac{11}{10}=1.1$

$x =\tan^{-1}1.1=47.7263^o\approx 48^o$

The value of the angle x to the nearest degree is 48°.

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3 years ago

What is the slope of the line that passes through the points (-7,-4) and (-11,-2)? In simplest form

Serjik [45]

Answer:

Slope=-1/2

Step-by-step explanation:

Slope =(y2-y1) /(x2-x1)

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Slope=(-2-(-4))/(-11-(-7))

Slope=(-2+4)/(-11+7)

Slope=2/(-4)

Slope=-1/2

3 0

3 years ago