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Wewaii [24]
3 years ago
6

The sum of three consecutive odd numbers is 165 what is the smallest of the three numbers

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0
Three consecutive odd integers: n, n + 2, and n + 4

n + (n + 2) + (n + 4) = 165
3n + 6 = 165
3n + 6 - 6 = 165 - 6
3n = 159
3n / 3 = 159 / 3
n = 53

So the first number is n, or 53.
The second number is n + 2, or 55.
The third number is n + 4, or 57.

<span>Hope this helps! :)</span>
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A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 60 homeowners su
const2013 [10]

Answer:

D) (3.67, 4.73)

Step-by-step explanation:

Confidence Interval for the true average number of homes that a person owns in his or her lifetimecan be calculated using M±ME where

  • M is the average number of home owned (4.2)
  • ME is the margin of error from the mean

And margin of error (ME) can be calculated as

ME=\frac{z*s}{\sqrt{N} } where

  • z is the corresponding statistic in the given confidence level(1.96)
  • s is the standard deviation of the sample(2.1)
  • N is the sample size (60)

Putting the numbers we get ME=\frac{1.96*2.1}{\sqrt{60} }≈0.53

Then the 95% confidence interval is 4.2±0.53 or (3.67, 4.73)

6 0
3 years ago
A triangle has a height that is increasing at a rate of 2 cm/sec and its area is increasing at a rate of 4 cm2/sec. Find the rat
lesya [120]

Answer:

The value of rate of which the base is changing \frac{dB}{dt} = - 3 \frac{cm}{s}

Step-by-step explanation:

Area = 20 cm^{2}

height = 4 cm

\frac{dH}{dt} = 2 \frac{cm}{sec}

\frac{dA}{dt} =  2 \ \frac{cm^{2} }{sec}

we know that area of the triangle is given by

A= \frac{1}{2} B H

B = \frac{2A}{H}

B = \frac{2 (20)}{4}

B = 10 cm

Rate of change of area is given by

\frac{dA}{dT} = \frac{1}{2} [B\frac{dH}{dt} + H \frac{dB}{dt} ]

4 =  0.5 [10 × 2 + 4 \frac{dB}{dt} ]

\frac{dB}{dt} = - 3 \frac{cm}{s}

This is the value of rate of which the base is changing.

7 0
3 years ago
Need number 7 the answer please.
Veseljchak [2.6K]

Answer:

h(x) = -2|x+2| + 2

Step-by-step explanation:

let me know if you want an explanation :))

8 0
2 years ago
Check all that apply. If csc =13/5 , then:
nirvana33 [79]

Answer:

The answer are the options B and C

sin(x)=\frac{5}{13}

tan(x)=\frac{5}{12}

Step-by-step explanation:

we know that

csc(x)=\frac{1}{sin(x)}

In this problem we have

csc(x)=\frac{13}{5}

substitute

\frac{13}{5}=\frac{1}{sin(x)}

solve for sin(x)

sin(x)=\frac{5}{13}

cos^{2}(x)+sin^{2}(x)=1

substitute the value of sin(x) and solve for cos(x)

cos^{2}(x)+(\frac{5}{13})^{2}=1

cos^{2}(x)=1-(\frac{5}{13})^{2}

cos^{2}(x)=(\frac{13^{2}-5^{2}}{13^{2}})

cos^{2}(x)=(\frac{144}{13^{2}})

cos^{2}(x)=(\frac{12^{2}}{13^{2}})

cos(x)=(\frac{12}{13})

The function tangent is equal to

tan(x)=\frac{sin(x)}{cos(x)}

substitute the values

tan(x)=\frac{(5/13)}{(12/13)}=5/12

8 0
3 years ago
Read 2 more answers
Describe the solutions in words to the inequality 4 &lt; c + 2
MAVERICK [17]

Answer:

<em>All </em><em>real </em><em>numbers </em><em>are </em><em>greater </em><em>than </em><em>four</em>

Step-by-step explanation:

4+2=6

6 0
2 years ago
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