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2 years ago

Using right triangle below. Find the spine of angle B.

Mathematics

1 answer:

olasank [31]2 years ago

3 0

Answer:

<h2>hope it helps you see the attachment for further information </h2>

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A random sample of the amounts for 22 purchases was taken. The mean was $42.97, the standard deviation was $22.82, and the m

Illusion [34]

Answer: a) 84 and b ) 2084

Step-by-step explanation:

Given : Sample standard deviation : s= $22.82

(Population standard deviation is unknown ) , so we use t-test.

Critical value or the 95% confidence intervals : $t_{n-1}*=2.0$

Formula to find the sample size :

$n=(\dfrac{t^*\cdot s}{E})^2$

a) E = 5

$n=(\dfrac{(2)\cdot 22.82}{5})^2$

$n=(9.128)^2=83.320384\approx84$

i.e. Required sample size : n= 84

b) E = 1

$n=(\dfrac{(2)\cdot 22.82}{1})^2$

$n=(45.64)^2=2083.0096\approx2084$

i.e. Required sample size : n= 2084

8 0

2 years ago

If you choose one card from a standard deck, what is the probability that the card is either red or a king?

kherson [118]

$|\Omega|=52\\ |A|=\underbrace{26}_{\text{red}}+\underbrace{4}_{\text{king}}-\underbrace{2}_{\text{red king}}=28\\\\ P(A)=\dfrac{28}{52}=\dfrac{7}{13}\approx54\%$

5 0

2 years ago

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Find the measure of the exterior angle.

miss Akunina [59]

Answer:

120 degrees! (line) or 300.

Step-by-step explanation:

All lines are 180 degrees, this triangle is congruent, so all sides are 60 degrees. 180 minus 60 is 120.

If it's a measure of a 360 degree angle, using 2 lines from the triangle, then you take 60 away from 360. A circle formed with that angle at it's radius would be 300 degrees.

4 0

2 years ago

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The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of a rectangle

blondinia [14]

Answer:

Area of the rectangle = $15 cm^2$