The sum of two numbers is 97. The larger number is three less than four times the smaller number. Find the numbers

Mathematics

1 answer:

Paladinen [302]3 years ago

3 0

Answer:

Hi there!

Your answer is:

Small number = 20

Larger number = 77

Step-by-step explanation:

larger= 4s-3

smaller = s

s+ 4s-3 = 97

5s-3 = 97

5s = 100

s= 20

large number = 4(20)-3

80-3

larger = 77

Double check work!

20+77= 97✓

Hope this helps!

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The following histogram shows the relative frequencies of the heights, recorded to the nearest inch, of a population of women. T

Airida [17]

Answer:

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Step-by-step explanation:

6 0

3 years ago

What are the zeros of (x-2)(x^2-9)

WARRIOR [948]

$(x-2)(x^2-9)=0\iff x-2=0\ or\ x^2-9=0\\\\x-2=0\ \ \ \ |add\ 2\ to\ both\ sides\\\\\boxed{x=2}\\\\x^2-9=0\ \ \ \ |add\ 9\ to\ both\ sides\\\\x^2=9\iff x=\pm\sqrt9\to \boxed{x=-3\ or\ x=3}\\\\Answer:\boxed{x=-3\ or\ x=2\ or\ x=3}$