Find the value of P when P = 2Q + 4R when Q = -4 and R = 5

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Molodets [167]

Here is one way to do it. See the attached image.

3 0

3 years ago

I will mark you brainiest if you can answer this

Fantom [35]

Answer:12 -13 x ≥ 38 = x≤−2 3/5 x -9 < 6=x<25

Step-by-step explanation:

8 0

3 years ago

Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her spee

Ira Lisetskai [31]

Answer:

She traveled 45 miles in 1 hour
She traveled 270 miles in 6 hours
She traveled 360 miles in 8 hours

Step-by-step explanation:

If Mrs. Anglin traveled at a speed of 90 miles in 2 hours, it means that her speed per hour is:

= 90/2

= 45 mph

If she is travelling at 45mph then in 1 hoour she would have traveled 45 miles.

In 6 hours she would have traveled:

= 45 * 6

= 270 miles

In 8 hours she would have traveled:

= 45 * 8

= 360 miles

6 0

3 years ago

Two factories I and II produce phones for brand ABC. Factory I produces 60% of all ABC phones, and factory II produces 40%. 10%

denpristay [2]

Answer:

0.3721 or 37.21%

Step-by-step explanation:

P(I) = 0.60; P(II) = 0.40;

P(not defective I) = 0.90; P(not defective II) = 0.80

The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.

$P(II|not) = \frac{P(II)*P(not_{II})}{P(II)*P(not_{II})+P(I)*P(not_{I})}\\P(II|not) = \frac{0.40*0.80}{0.40*0.80+0.60*0.90}\\ P(II|not) =0.3721 = 37.21\%$

The probability is 0.3721 or 37.21%.

4 0

3 years ago

indictate which of the following are propositions.For the ones which are propositions, determine the truth value.(a) The integer

Semmy [17]

Answer:

Step-by-step explanation:

When we propose an hypothesis, it is either true or false. The same goes for a proposition.

The required objective here is to determine the truth value in the following proposition.

(a) The integer 24 is prime.

(b) Is the integer 315 even?

(c) The sum of 3 and 4 is 12.

(d) -4 ∈ Ζ

From the first option:

(a) The integer 24 is prime.

The sentence is a proposition but the truth value is FALSE because a prime number is a number that can only be divide by 1 and itself but in the case of 24, Its factors include 1,2,3,4,6,8,12 and 24 which make 24 to falsify the proposition of being a prime number.

(b) Is the integer 315 even?

This option is not a proposition but rather a question since it has a question mark, however, 315 is an odd number since it is not divisible by 2.

( c) The sum of 3 and 4 is 12.

This is a proposition and the truth value is FALSE

The sum of 3+4 = 7 ; Hence; 7 ≠ 12

(d) -4 ∈ Ζ

This is a proposition and the truth value is TRUE.

-4 ∈ Ζ is read as ( minus four is an integer (∈) of Z )

Yes, this is a proposition and its Truth value is TRUE , since minus four is an integer (∈) of Z

6 0

4 years ago