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3 years ago

Can anyone help me with this problem???

Mathematics

1 answer:

jasenka [17]3 years ago

8 0

Note that x is the hypotenuse of a right triangle. Applying the Pyth. Thm.,

x^2 = 2^2 + 6^2, or x^2 = 4 + 36 = 40.

Thus, the hypotenuse is +sqrt(40), or 2sqrt(10).

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9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9

gladu [14]

Answer: a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

$x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)$

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

$\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976$

Hence, a) (176.76,172.24), b) 0.976.

8 0

3 years ago

Solve for y in the following equation. x+2y=z

Galina-37 [17]

Answer:

The Answer:

Step-by-step explanation:

x+2y=z

minus x both sides

2y=z-x

divide by 2 both sides

The Answer:

$y = \frac{z - x}{2}$

6 0

3 years ago

Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry . What fraction of th

professor190 [17]

Answer:

The fraction of smoothies sold were either banana or strawberry is $\frac{11}{12}.$

Step-by-step explanation:

Given:

Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry.

Now, to find the fraction of the smoothies sold were either banana or strawberry.

Fraction of smoothie were of banana = $\frac{5}{6} .$

Fraction of smoothie were of strawberry = $\frac{1}{12} .$

Now, to get the fraction smoothies sold were either banana or strawberry by adding both the fractions of banana and strawberry:

$\frac{5}{6} +\frac{1}{12} \\\\=\frac{10+1}{12} \\\\=\frac{11}{12}$

Therefore, the fraction of smoothies sold were either banana or strawberry is $\frac{11}{12}.$

7 0

3 years ago

Find the 14th term of the geometric sequence 2, 4, 8,

Papessa [141]

Answer:

16384

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A punch recipe says to mix 4 cups pineapple juice 8 cups orange juice and 12 cups seltzer in order to make 18 servers of punch.H

lesya692 [45]

81 servings. I found this by making a ratio:
24 c 108 c
------- = -------
18 ser x
I then cross multiplied to get the equation: 24x=1,944. I solved this equation to find x, the number of servings in 108 cups, which was 81.

I remember doing this back in elementary school. I had a hard time with it too!

6 0

3 years ago