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2 years ago

the diameter of a U.S penny is 3/4 inch. how many pennies would it take to make a row 42 inches long?

Mathematics

2 answers:

lesya692 [45]2 years ago

7 0

42 divided by 3/4 equals 56 pennies

makvit [3.9K]2 years ago

5 0

Answer: 56

Step-by-step explanation:

We are given that ,

The diameter of each U.S. penny = $\dfrac{3}{4}$ inch.

The length of the row of pennies = 42 inches

Then , the number of pennies in that row will be :

$=\text{Length of row}\div\text{Diameter of each penny}\\\\=42\div\dfrac{3}{4}\\\\=42\times\dfrac{4}{3}\ \ \text{[Flip divisor fraction, multiply the original number by its reciprocal.]}\\\\=56$

Hence, the required number of pennies. = 56

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The mean height of married American women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. The m

SSSSS [86.1K]

Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

x'=64.5

Sx=2.5

y'=68.5

Sy=2.7

General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

$b=r*\frac{S_{y}}{S_{x}}\\b=0.5*\frac{2.7}{2.5}\\b=0.54$

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

$a=y'-b*x'\\a=68.5-0.54*64.5\\a=33.67$

The equation regression line then is:

Y'=33.67+0.54*X'

4 0

3 years ago

a game is played by drawing 4 cards from a standard playing deck and replacing each card after it is drawn. find the probability

natima [27]

It is a 1 in 13 chance of drawing at least 1 ace.

8 0

3 years ago

Write two fractions that name each point on the number line

noname [10]

One is 1/2 and 2/4 because when you simplify it is 1/2 I think that's the answer but I know that 2/4 in simplify form is 1/2

8 0

2 years ago

HELP...The volume of a rectangular prism is 36x^6y^8. The length of the prism is 4x^3y^5, and the width of the prism is 3xy^2. W

Margaret [11]

Answer:

$H = 3x^2y$

Step-by-step explanation:

Given

$V = 36x&^6y^8$

$L = 4x^3y^5$

$W = 3xy^2$

Required

Find the height of the prism

Volume (V) is calculated as:

$V =LWH$

Substitute values for V, L and W

$36x^6y^8 =4x^3y^5 * 3xy^2 * H$

Make H the subject

$H = \frac{36x^6y^8}{4x^3y^5 * 3xy^2}$

$H = \frac{36x^6y^8}{4*3x^3*x*y^5y^2}$

$H = \frac{36x^6y^8}{12x^4*y^7}$

Divide:

$H = 3x^{6-4}y^{8-7}$

$H = 3x^2y$

The height of the prism is: $3x^2y$

4 0

2 years ago

Is that anwer the correct one

kondor19780726 [428]

No

The exponent to the power 4 means multiply the base, which is 10 here, by itself 4 times

10 x 10 x 10 x 10 = 10,000

If it was 10 x 4, it would be 40, but we're dealing with exponents here.

:)

6 0

2 years ago