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olga nikolaevna [1]

3 years ago

11

Which size would you see on the box for a new television whose screen measures 34.2 inches wide by 60.8 inches high ?

1 answer:

miss Akunina [59]3 years ago

5 0

Answer:

$70\ in$

Step-by-step explanation:

we know that'

The box displays the diagonal measurement of a tv.

so

Applying the Pythagoras Theorem

Let

d -----> the diagonal of TV

$d^{2}=W^2+L^2$

substitute the given values

$d^{2}=34.2^2+60.8^{2}$

$d^{2}=4,866.28$

$d=69.8\ in$

Round to the nearest whole number

$d=70\ in$

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Suppose that two cards are randomly selected from a standard 52-card deck. (a) What is the probability that the first card is

ser-zykov [4K]

Answer:

(a) $\frac{1}{17}$ (b) $\frac{1}{16}$

Step-by-step explanation:

GIVEN: Suppose that two cards are randomly selected from a standard $52$ card deck.

TO FIND: (a) What is the probability that the first card is a club and the second card is a club if the sampling is done without replacement? (b) What is the probability that the first card is a club and the second card is a club if the sampling is done with replacement.

SOLUTION:

(a)

Probability that first card is club $P(A)=\frac{\text{total club cards}}{\text{total cards}}$

$=\frac{13}{52}$

$=\frac{1}{4}$

As sampling is done without replacement.

probability that second card is club $P(B)=\frac{\text{total club cards}}{\text{total cards}}$

$=\frac{12}{51}$

$=\frac{4}{17}$

Probability that first card is club and second card is club $=P(A)\times P(B)$

$=\frac{1}{4}\times\frac{4}{17}=\frac{1}{17}$

(b)

Probability that first card is club $P(A)=\frac{\text{total club cards}}{\text{total cards}}$

$=\frac{13}{52}$

$=\frac{1}{4}$

As sampling is done with replacement.

probability that second card is club $P(B)=\frac{\text{total club cards}}{\text{total cards}}$

$=\frac{13}{52}$

$=\frac{1}{4}$

Probability that first card is club and second card is club $=P(A)\times P(B)$

$=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$

3 0

3 years ago

A real-world problem problem to represent 10x + 40 = 100

Volgvan

I need $100 for my game console I want. I already have $40 and I get $10 every week for doing chores.

3 0

3 years ago

A tiny but horrible alien is standing at the top of the empire state building (which is 443 meters tall) and threatening to dest

valentina_108 [34]

Answer: $87.7^{\circ}$

Step-by-step explanation:

Height of the building AB= 443 meters

Distance between the building and the agent at the ground BC= 18 meters

Let x be the angle the agent should shoot his laser gun

Since ΔABC is a right triangle, then

$\tan\ x=\frac{AB}{BC}$

$\Rightarrow\tan\ x=\frac{443}{18}\\\Rightarrow\tan\ x=24.6111\\\Rightarrow\ x=\tan^{-1}(24.61)\\\Rightarrow\ x=87.67^{\circ}\approx87.7^{\circ}$

7 0

3 years ago

Read 2 more answers

Work out the percentage discount offered with the family ticket option

ycow [4]

Answer:

15% discount was offered with the family ticket option.

Step-by-step explanation:

So adult is 55 so 55 x 2=110

45 x 2=90

110+90=200 so 170 ( Family ticket )

170 divide by 200=0.85 x 100=85% 100% - 85%=15%

5 0

2 years ago

Harlamova29_29 [7]

Answer:

(Z + 2•)

Step-by-step explanation:

5 0

3 years ago