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andreev551 [17]
3 years ago
13

simple random sample from a population with a normal distribution of 99 body temperatures has x overbarequals98.20degrees Upper

F and sequals0.63degrees Upper F. Construct a 95​% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Is it safe to conclude that the population standard deviation is less than 1.50degrees Upper F​?
Mathematics
1 answer:
Verizon [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Let x be the normal body temperature

X is N(99, sigma)

Sample mean x bar = 98.2 and s = 0.63

Margin of error = Z critical * 0.63 = 1.95 *0.63 = 1.2285

It is safe since 1.5 <1.96 critical value of z at 95%

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Enter the correct answer in the box. Write the sum of 12√23x13 + 14√23x13 in simplest form, if x &gt; 0.​
joja [24]

12\sqrt{23 x^{13}} + 14\sqrt{23x^{13}}\\\\=(12+14) \sqrt{23x^{13}}\\\\=26\sqrt{23x^{13}}\\\\=26 \cdot 23^{\tfrac {1}2} \cdot x^{\tfrac{13}2}

5 0
2 years ago
Which graph represents the sequence: 1/2, 1, 2, 4, 8...?
Aleonysh [2.5K]

The graph represents the sequence is Option D.

<h3>Further explanation </h3>

A function defined in the set of natural numbers is called a sequence.

Allow \boxed{a_n \ as \ n^{th} \ term}, or general term.

In a sequence, n should always represent a natural number, i.e.,

n > 0, n = 1, 2, 3, ...,

but the value of \boxed{a_n} may be any real number depending on the formula for the general term of the sequence.

A sequence is considered geometric if the ratio between each consecutive term is common.  

In our problem, the sequence is \boxed{ \ \frac{1}{2}, 1, 2, 4, 8, ... \ }

The ratio of each term \boxed{a_{n+1}} to the previous term \boxed{a_n} is equal 2, so we can formalize the sequence as

\boxed{\frac{a_{n+1}}{a_n} =2}.

The consecutive terms of the sequence have a common ratio r = 2, so this sequence is geometric.

The general term of a geometric sequence \boxed{a_n} with common ratio r is \boxed{\boxed{ \ a_n = a_1 \cdot r^{n-1} \ }}.

Presently we go back to the question. The graph shows the horizontal axis as n and the vertical axis is the general term \boxed{a_n}. The relationship between n, the terms, and the coordinates as written below:

\boxed{n = 1 \rightarrow the \ 1st \ term \ a_1 = \frac{1}{2} \rightarrow \bigg( 1, \frac{1}{2} \bigg)}

\boxed{n = 2 \rightarrow the \ 2nd \ term \ a_2 = 1 \rightarrow (2, 1)}

\boxed{n = 3 \rightarrow the \ 3rd \ term \ a_3 = 2 \rightarrow (3, 2)}

\boxed{n = 4 \rightarrow the \ 4th \ term \ a_4 = 4 \rightarrow (4, 4)}

\boxed{n = 5 \rightarrow the \ 5th \ term \ a_5 = 8 \rightarrow (5, 8)}

Therefore, the graph representing the sequence is Option D.

<u>Note:</u>

  • The general term of a geometric sequence is exponential.
  • From the common ratio (r > 1) and graph, the type is an increasing sequence.
<h3>Learn more </h3>
  1. Combining two functions to create a geometric sequence brainly.com/question/1695742
  2. A word problem about arithmetic and geometric sequences brainly.com/question/3395975
  3. Drawing graph of the geometric sequence brainly.com/question/3166290

Keywords: which, the graph, geometric sequences, common ratio, general term formula, natural numbers, The consecutive terms, arithmetic

6 0
3 years ago
0)
hichkok12 [17]

Answer:

The coordinates of C(22/3, 7)

Step-by-step explanation:

Partitioning between two points A and B in the ratio a:b.

The x-coordinate of the point of partition C is found at

XC = XA*(b/(a+b)+XB(a/(a+b) ..............(1)

Similarly, the x-coordinate of the point of partition is found at

YC = YA*(b/(a+b)+YB(a/(a+b)...............(2)

Given A(8,8), B(4,2), partition ratio of A:B = 1:5,

substitute in (1)

XC = 8*5/6+4*1/6 = 44/6 = 22/3

YC = 8*5/6 + 2*1/6 = 42/6 = 7

The coordinates of C(22/3, 7)

7 0
3 years ago
Orly uses 3 cups of raisins for every 10 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cu
MrRa [10]
This is a proportion problem
3/10= 12/x
Now cross multiply and divide
12 x 10= 120
120/3= 40
Answer is 40
4 0
3 years ago
Rachel runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?
Naily [24]

Answer: 4.2 miles

Step-by-step explanation:

So she ran 6 miles in 50 minutes how long will she run in 35 minutes?

So the equation will therefore be:

6=50

x=35

Cross multiply

6 x 35 = 50x

210 = 50x

Divide both sides by 50

The answer is 4.2 miles

5 0
3 years ago
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