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mihalych1998 [28]
3 years ago
12

2. Three numbers whose product is 64 are 2, 4,

Mathematics
2 answers:
Alenkasestr [34]3 years ago
5 0

Answer:

A) 0.8 X 3 X 1 = 2.4

B) 0.3 X 2 X 4 = 2.4

C) 0.4 + 1.5 +0.5 = 2.4

D) 2 + 0.3 + 0.1 = 2.4

Step-by-step explanation:

A) To get three numbers whose product is 2.4, we will have to find out by multiplying three different decimal numbers to see if we can get 2.4. In other words, we are looking for factors of 2.4.

We can start by dividing 2.4 by three.

This will give 0.8 ( which is one of the numbers)

Recall that 1 is also a number and any number multiplied by 1 is itself. We can take one to be our third number.

Our three numbers are 0.8 X 3 X 1 = 2.4

B) To get another set of numbers, we can simply choose to divide 2.4 by 4.

2.4 / 2 = 0.6.

we can also divide 0.6 into 2.

0.6 / 2 = 0.3

Our other three numbers can be 0.3 X 2 X 4 = 2.4

C) Three numbers which can sum up to 2.4 are

0.4 + 1.5 +0.5 = 2.4

D) To get another set of numbers, we can simply break 2.4 up into other simpler numbers.

2 + 0.3 + 0.1 = 2.4

UNO [17]3 years ago
5 0

Answer:

The answer is A

Step-by-step explanation:

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Select the correct answer from each drop-down menu.
nasty-shy [4]

9514 1404 393

Answer:

  • 3(x^3)y -6x(y^2) +9
  • 3

Step-by-step explanation:

The above-listed answer choices are the only ones that are self-consistent.

The quotient choices all have a leading coefficient of 3, and the result of dividing by <some number> is a leading coefficient of 1. Obviously, the <some number> must be 3 (first choice on the second menu).

Looking only at the constant term, we see that after division by 3, we have 3. So the original quotient constant term must be 3×3 = 9 (first choice on the first menu). Note that we have chosen the correct answer simply by looking at coefficients, not even bothering with actual division of variables.

6 0
2 years ago
Read 2 more answers
A lighthouse is 90 feet above sea level. The angle of depression from the top of the lighthouse to the center of the rock is 35
Marysya12 [62]
Notice the picture below

so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles

now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"

4 0
2 years ago
Which graph could represent a constant balance in a<br> z<br> account over tim
Ierofanga [76]

Answer:

i dont know

Step-by-step explanation:

6 0
2 years ago
The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room
Alexandra [31]

Answer:

\bar x = 260.1615

\sigma = 70.69

The confidence interval of standard deviation is: 53.76 to 103.25

Step-by-step explanation:

Given

n =20

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}

\bar x = \frac{5203.23}{20}

\bar x = 260.1615

\bar x = 260.16

Solving (b): The standard deviation

This is calculated as:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}\sigma = \sqrt{\frac{94938.80}{19}}

\sigma = \sqrt{4996.78}

\sigma = 70.69 --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

c =0.95

So:

\alpha = 1 -c

\alpha = 1 -0.95

\alpha = 0.05

Calculate the degree of freedom (df)

df = n -1

df = 20 -1

df = 19

Determine the critical value at row df = 19 and columns \frac{\alpha}{2} and 1 -\frac{\alpha}{2}

So, we have:

X^2_{0.025} = 32.852 ---- at \frac{\alpha}{2}

X^2_{0.975} = 8.907 --- at 1 -\frac{\alpha}{2}

So, the confidence interval of the standard deviation is:

\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} } to \sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }

70.69 * \sqrt{\frac{20 - 1}{32.852} to 70.69 * \sqrt{\frac{20 - 1}{8.907}

70.69 * \sqrt{\frac{19}{32.852} to 70.69 * \sqrt{\frac{19}{8.907}

53.76 to 103.25

8 0
2 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 321
PIT_PIT [208]

Answer:

160,160

Step-by-step explanation:

let the first page be X

second one be x+1

x+x+1=321

2x=320

x= 320÷2=160

pages 160 161

6 0
3 years ago
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