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3 years ago

Can someone explain please

Mathematics

1 answer:

blondinia [14]3 years ago

3 0

Answer:

$\large\boxed{B.\ \dfrac{7}{4}}$

Step-by-step explanation:

$\dfrac{\Delta y}{\Delta x}=\dfrac{14}{8}=\dfrac{14:2}{8:2}=\dfrac{7}{4}$

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A square with an area of 196 ft2 is reduced by a factor of 1/4. How long the new sides of the square?

soldier1979 [14.2K]

Answer:

$49$

Step-by-step explanation:

<h2><u>Lesson : Reducing by factors:</u></h2><h2><u /></h2>

Given :

$196ft^2$

$Reduced * factor * of * \frac{1}{4}$

When you have to reduce a number by a certain factor, you must divide the area with the amount that it is reducing from, therefore,

$\frac{196}{4}$

$49$

5 0

3 years ago

Eric bought a canoe for $333.75. The sales tax was 5.25%. What was his total cost?

yan [13]

Answer:

333.80

Step-by-step explanation:

3 0

3 years ago

Given the volume is 105 inches³ for an 8 pound bowling ball, find the radius of the bowling ball,

mariarad [96]

Answer:

2.92

Step-by-step explanation:

$V=\frac{4}{3}\pi r^3 \\ \\ 105=\frac{4}{3}\pi r^3 \\ \\ r^3=\frac{105}{\frac{4}{3}\pi} \\ \\ r=\sqrt[3]{\frac{105}{\frac{4}{3}\pi}} \\ \\ r \approx 2.92$

7 0

2 years ago

Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court

Ksju [112]

Answer:

$(a)\dfrac{92}{117}$

$(b)\dfrac{8}{39}$

$(c)\dfrac{25}{117}$

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

$P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}$

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed) $=P(MW)+P(WM)$

$=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}$

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.
Two women are appointed

P(at least one woman is appointed) $=P(MW)+P(WM)+P(WW)$

$P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}$

In Part B, $P(MW)+P(WM)=\frac{8}{39}$

Therefore:

$P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}$

5 0

3 years ago

Describe the transformation from the graph of f(x)=x+8 to the graph of g(x)=x-3

andreev551 [17]

Answer:

A.)

Step-by-step explanation:

Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.

The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).

g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)

7 0

3 years ago

Can someone explain please​

Can someone explain please