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Murljashka [212]
3 years ago
9

Find the measure of the missing angle using the exterior angle sum theorm

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0

Answer:

r = 30°

Step-by-step explanation:

According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and <em>r°</em>. We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, <em>r</em> = 30°.

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A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
Alex_Xolod [135]

Answer:

95% confidence interval for the population mean is 20.255 and 17.945

Step-by-step explanation:

given data

mean = 19.1

standard deviation = 1.5

n = 9

to find out

95% confidence interval for the population mean

solution

we know 95% confidence interval formula i.e.

mean +/- t * standard deviation/\sqrt{n}   .............1

here t for 9 students 2.31 ( from t table)

so put all value n t standard deviation and mean in equation 1

= mean +/- t * standard deviation/\sqrt{n}

= 19.1 +/- 2.31 * 1.5/\sqrt{9}

= 19.1 +/- 2.31 * 1.5/\sqrt{9}  

= 20.255 and 17.945

95% confidence interval for the population mean is 20.255 and 17.945

7 0
3 years ago
Si el divisor de una división es 67, el cociente es 495 y el residuo es 31, ¿cuál es el valor del dividendo? A. 33.196 B. 33.264
Archy [21]

Answer:

Divisor = 67, Cociente = 495

Resto = 31

Dividendo = Cociente × Divisor + Resto

Dividendo = 495 × 67+ 31

= 33165 +31

= 33,196

Step-by-step explanation:

7 0
3 years ago
HELP NEEDED PLEASE!!!
postnew [5]

Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

<h3>How can a vector be represented in component notation?</h3>

Given a magnitude M and angle \theta, then a vector V can be represented as follows in component notation:

V = (M\cos{\theta}, M\sin{\theta})

In this problem, the magnitude and the angle are given, respectively, by:

M = 12, \theta = 143^\circ

Hence:

V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).

Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

More can be learned about vectors at brainly.com/question/24606590

#SPJ1

8 0
3 years ago
Hayden bought 48 new trading cards.Three- fourths of the new cards are baseball cards. How many baseball cards did Hayden buy?
Butoxors [25]
Hayden bought 36 baseball cards because 3/4 represents three quartersof a given amount
6 0
4 years ago
Read 2 more answers
The total cost for 8 bracelets including shipping was$54.The shipping charge was$6.Define the variable and write an equation tha
GalinKa [24]
First, we must take away the shipping charge.

x = cost of each bracelet

8x + 6 = 54
8x = 48
x = 6

Each bracelet is $6. Hope this helps!
4 0
3 years ago
Read 2 more answers
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