All categories

2 years ago

Mark wants to buy 5 new video games from

Mathematics

1 answer:

vlada-n [284]2 years ago

4 0

He will have to pay about $82.34 at the checkout.

You might be interested in

A glass is

serg [7]

Answer:

Step-by-step explanation:

4/7 x + 70 cm^3 = 3/4 x Subtract 4/7 x from both sides

3/4 x - 4/7 x = 70 cm^3 The lowest common denominator is 28

$\frac{3*7*x}{4*7} - \frac{4*4x}{4*7} = 70 cc\\\frac{21*x}{28} - \frac{16*x}{28} = 70 cc\\\frac{5x}{28}= 70cc\\$

5x = 70*28

5x = 1960 Divide by 5

x = 1960/5

x = 392 cc

7 0

3 years ago

Read 2 more answers

Prove that ΔABC and ΔEDC are similar. triangles ABC and DEC where angles A and E are right angles, AC equals 4, AB equals 3, BC

nikklg [1K]

Answer:B

Step-by-step explanation:

4E and LA are right angles; therefore, these angles are congruent since all right

angles are congruent. Is - 15 over 5 and 12 over 4shows the corresponding sides are proportional;

therefore, ABC ~ AEDC by the SSS Similarity Postulate.

3 0

2 years ago

Landon, Wes, and Tim attempted 25 basketball shots each.HELP ASAP

Flura [38]

Wes made the most shots.
Explanation.
Landon made 9 shots
Wes made 10 shots
Tim made 8 shots.
HAVE A GUD DAY

3 0

3 years ago

Read 2 more answers

Joshua decided he did not want to study for the test so he randomly chose answers to a 5 question test. If each question had 4 a

Veronika [31]

Answer:

there is a 0.0009765625 in 1 chance that he got 100%.

Step-by-step explanation:

possibility of getting a question right: 1/4

# of questions: 5

(1/4)^5 is 0.0009765625

5 0

3 years ago

The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x

RoseWind [281]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

<em>Firstly we will calculate the general probability that of P(a < X < b) </em>

P(a < X < b) = $\int_{a}^{b} \frac{2}{x^{3}} dx$ = $2\int_{a}^{b} x^{-3} dx$

= $2[ \frac{x^{-3+1} }{-3+1}]^{b}_a dx$ { Because $\int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a$ }

= $2[ \frac{x^{-2} }{-2}]^{b}_a$ = $\frac{2}{-2} [ x^{-2} ]^{b}_a$

= $-1 [ b^{-2} - a^{-2} ]$ = $\frac{1}{a^{2} } - \frac{1}{b^{2} }$

a) Now P(X < 5) = P(1 < X < 5) {because x > 1 }

Comparing with general probability we get,

P(1 < X < 5) = $\frac{1}{1^{2} } - \frac{1}{5^{2} }$ = $1 - \frac{1}{25}$ = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/ $8^{2}$ - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = $\frac{1}{6^{2} } - \frac{1}{10^{2} }$ = $\frac{1}{36} - \frac{1}{100 }$ = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

= $(\frac{1}{1^{2} } - \frac{1}{6^{2} })$ + (1/ $10^{2}$ - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

⇒ P(1 < X < x) = 0.75

⇒ $\frac{1}{1^{2} } - \frac{1}{x^{2} }$ = 0.75

⇒ $\frac{1} {x^{2} }$ = 1 - 0.75 = 0.25

⇒ $x^{2}$ = $\frac{1}{0.25}$ ⇒ $x^{2}$ = 4 ⇒ x = $2$

Therefore, value of x such that P(X < x) = 0.75 is 2.

8 0

3 years ago