If p is true and q is false, what is the truth value of p or q? 1 0 true false

Use z scores to compare the given values.

Effectus [21]

Answer:

The answer is given below

Step-by-step explanation:

Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:

$z=\frac{x-\mu}{\sigma}\\ \\Where\ \mu=mean, x=raw\ score, \sigma=standard\ deviation$

For the male:

μ = 3259.8 g, σ = 869.7 g

Hence for a male who weighs 1600 g, the z score is:

$z=\frac{x-\mu}{\sigma} =\frac{1600-3259.8}{869.7}=-1.91$

For the female:

μ = 3000.9 g, σ = 550.8 g

Hence for a female who weighs 1600 g, the z score is:

$z=\frac{x-\mu}{\sigma} =\frac{1600-3000.9}{550.8}=-2.54$

Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the male has the weight that is more extreme.

6 0

3 years ago

10. 9. Solve the equation (x-2)(x+2) = 0 (4F) A. 02,0 B. O-2, 2 C.O-2 D. 2

masha68 [24]

Answer:

x=2 or x=-2

Step-by-step explanation:

I'm not sure what you're asking, but when you solve, set both sets of parentheses equal to 0 and solve. This makes x either equal to 2 or -2.

4 0

3 years ago

Colin buys a car for £45500. It decreases in price 6% per year. How much will it be worth in 3 years?

just olya [345]

Answer:

The answer is 33,710 euros.

Step-by-step explanation:

Start by multiplying 45,550 by 6%. This will give 2,730. over the next three years the price decreases, so multiply 2,730 by 3, which is 8,190. Finally, subtract 45,550 by 8,190 to get 33,710.

5 0

3 years ago

Nancy bought 3.5 gallons of gasoline. she paid 10.43. What was the price per gallon for the gasoline

schepotkina [342]

Answer:

Nancy paid 2.98 per gallon of gasoline.

Step-by-step explanation:

The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:

ratio = total money / total gasoline

ratio = 10.43 / 3.5

ratio = 2.98 money / gallon

Nancy paid 2.98 per gallon of gasoline.

3 0

3 years ago

Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely

larisa [96]

$\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}$

$\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1) +2x(2x+1) + (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2$

3 0

2 years ago