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3 years ago

Macy has completed 78% of the 50 questions on the test.how many questions has Macy completed

Mathematics

1 answer:

m_a_m_a [10]3 years ago

3 0

$p\%=\frac{p}{100}\\\\78\%=\frac{78}{100}=0.78\\\\78\%\ of\ the\ 50\ i\ equal\ 0.78\times50=\boxed{39}$

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What is the diameter of a circle with a radius of 7 inches

In-s [12.5K]

Answer:

Step-by-step explanation:

the diameter is the radius multiplied by 2

7 0

3 years ago

If you start with Malvin’s age, take half of it, increase that result by 5, then divide by 3, and finally double that, you get 8

Kisachek [45]

Answer:

24 years old

Step-by-step explanation:

Let Malvin's age be x.

x / 2
x / 2 + 5 = 5x / 10 [ By taking the L.C.M.]
( 5x / 10 ) * ( 1 / 3 ) = 5x / 30 [ Multiply with the reciprocal of 3 ]
( 5x / 30 ) * 2 = 5x / 15

Now let's solve the equation,

5x / 15 = 8

5x = 8 * 15

5x = 120

x = 120 / 5

x = 24

Therefore, Malvin is 24 years old.

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3 0

3 years ago

4x-5(x-2)=12x+4-x ??????????????

Anestetic [448]

4x - 5(x - 2) = 12x + 4 - x
4x - 5(x) - 5(-2) = 12 - x + 4
 4x - 5x + 10 = 11x + 4
 -x + 10 = 11x + 4
 + x + x 
 10 = 12x + 4
 - 4 - 4
 6 = 12x
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6 0

3 years ago

Your friends shuffle the cards and then deal them. Select probability of getting a red card. Select probability of getting a spa

sladkih [1.3K]

Answer:

1/2 ; 1/4

Step-by-step explanation:

Number of cards in a deck = 52

Number of red cards = 26

Number of spades = 13

Probability of event A :

P(A) = required outcome / Total possible outcomes

P( red card) = number of red cards / total cards in deck

P(red card) = 26 / 52 = 1/2

P(spade) = number of spades / total cards in deck

P(red card) = 13 / 52 = 1 / 4

7 0

3 years ago

A manufacturer of televisions subjects the equipment to a comprehensive testing process for all essential functions before the t

Scorpion4ik [409]

Answer:

The probability is $P(X \le 9) =0.9138$

Step-by-step explanation:

From the question we are told that

The probability of the television passing the test is p = 0.95

The sample size is n = 10

Generally the comprehensive testing process for all essential functions follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the probability that at least 9 pass the test is mathematically represented as

$P(X \le 9) = P(X = 9) + P(X = 10 )$

=> $P(X \le 9) = [^{10}C_9 * (0.95)^9 * (1- 0.95)^{10-9}]+ [^{10}C_{10} * {0.95}^{10} * (1- 0.95)^{10-10}]$

=> $P(X \le 9) = [10 * 0.6302 * 0.05 ]+ [1 *0.5987 * 1 ]$

=> $P(X \le 9) =0.9138$

8 0

3 years ago