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1 year ago

Let p: x=4 let q:y=-2

Mathematics

1 answer:

ICE Princess25 [194]1 year ago

6 0

Question:

Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q

Answer:

Option c: p → q

Explanation:

Option a: p ∨ q

p ∨ q means that either p is true or q is true or both are true.

Hence, Option a is not the correct answer.

Option b: p ∧ q

p ∧ q means that both p and q are true.

Hence, Option b is not the correct answer.

Option c: p → q

p → q means that if p is true, then q is also true.

Hence, Option c is the correct answer.

Option d: p ↔ q

p ↔ q means that if p is true, then q is true. If q is true, then p is true.

Hence, Option d is not the correct answer.

Thus, p → q is the correct option.

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A process has been developed that can transform ordinary iron into a kind of super iron called metallic glass. Metallic glass is

beks73 [17]

Answer:

Step-by-step explanation:

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6 0

1 year ago

which represents the solution(s) of the system of equations, y=x^2-2x-15 and y=8x-40? determine the solution set algebraically

Harrizon [31]

y=x^2-2x-15 (1) y=8x-40 (2)

8x-40=x^2-2x-15
X^2+10x-25=0
(x-5)^2
×=5 y=0

7 0

2 years ago

A process manufactures ball bearings with diameters that are normally distributed with mean 25.1 mm and standard deviation 0.08

marta [7]

Answer:

(a) The proportion of the diameters are less than 25.0 mm is 0.1056.

(b) The 10th percentile of the diameters is 24.99 mm.

(d) The proportion of the ball bearings meeting the specification is 0.8881.

Step-by-step explanation:

Let X = diameters of ball bearings.

The random variable X is normally distributed with mean, μ = 25.1 mm and standard deviation, σ = 0.08 mm.

To compute the probability of a Normally distributed random variable we need to first convert the raw scores to z-scores as follows:

z = (X - μ) ÷ σ

(a)

Compute the probability of X < 25.0 mm as follows:

P (X < 25.0) = P ((X - μ)/σ < (25.0-25.1)/0.08)

= P (Z < -1.25)

= 1 - P (Z < 1.25)

= 1 - 0.8944

= 0.1056

*Use a z-table for the probability.

Thus, the proportion of the diameters are less than 25.0 mm is 0.1056.

(b)

The 10th percentile implies that, P (X < x) = 0.10.

Compute the 10th percentile of the diameters as follows:

P (X < x) = 0.10

P ((X - μ)/σ < (x-25.1)/0.08) = 0.10

P (Z < z) = 0.10

z = -1.282

The value of x is:

z = (x - 25.1)/0.08

-1.282 = (x - 25.1)/0.08

x = 25.1 - (1.282 × 0.08)

= 24.99744

≈ 24.99

Thus, the 10th percentile of the diameters is 24.99 mm.

(c)

Compute the value of P (X < 25.2) as follows:

P (X < 25.2) = P ((X - μ)/σ < (25.2-25.1)/0.08)

= P (Z < 1.25)

= 0.8944

≈ 0.84

*Use a z-table for the probability.

Thus, the ball bearing that has a diameter of 25.2 mm is at the 84th percentile.

(d)

Compute the value of P (25.0 < X < 25.3) as follows:

P (25.0 < X < 25.3) = P ((25.0-25.1)/0.08 < (X - μ)/σ < (25.3-25.1)/0.08)

= P (-1.25 < Z < 2.50)

= P (Z < 2.50) - P (Z < -1.25)

= 0.99379 - 0.10565

= 0.88814

≈ 0.8881

*Use a z-table for the probability.

Thus, the proportion of the ball bearings meeting the specification is 0.8881.

4 0

1 year ago

The constant-pressure specific heat of air at 25°C is 1.005 kJ/kg. °C. Express this value in kJ/kg.K, J/g.°C, kcal/ kg. °C, and

Mice21 [21]

Answer:

In kJ/kg.K - 1.005 kJ/kg degrees Kalvin.

In J/g.°C - 1.005 J/g °C

In kcal/ kg °C 0.240 kcal/kg °C

In Btu/lbm-°F 0.240 Btu/lbm degree F

Step-by-step explanation:

given data:

specific heat of air = 1.005 kJ/kg °C

In kJ/kg.K

1.005 kJ./kg °C = 1.005 kJ/kg degrees Kelvin.

In J/g.°C

$1.005 kJ./kg °C \times 1000/1kJ \times (1kg/1000 g) = 1.005J/g °C$

In kcal/ kg °C

$1.005 kJ./kg °C \times \frac{1 kcal}{4.190 kJ} = 0.240 kcal/kg °C$

For kJ/kg. °C to Btu/lbm-°F

Need to convert by taking following conversion ,From kJ to Btu, from kg to lbm and from degrees C to F.

$1.005 kJ./kg °C \times \frac{1 Btu}{1.055 kJ} \times \frac{0.453 kg}{1 lbm} \times \frac{5/9 degree C}{1 degree F} = 0.240 Btu/ lbm / degree F$

1.005 kJ/kg C = 0.240 Btu/lbm degree F

8 0

2 years ago

What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP

Scorpion4ik [409]

Answer:

-5

Step-by-step explanation:

-4x +10 =5(x +11)

-4x +10 =5x +55

-4x - 5x =55 - 10

-9x =45

x=-45 :9

x=-5

7 0

1 year ago