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2 years ago

Which characteristics will NOT prove that quadrilateral PQRS, drawn in a coordinate plane, is a parallelogram?

1 answer:

8 0

The answer is letter C. This is because line PQ and RS does not describe a slope. Because PQ and RS are in straight horizontal lines. So it is impossible for PQ and RS to have a slope or a diagonal form.

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weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probabi

kenny6666 [7]

Answer:

0.34134

Step-by-step explanation:

In other to solve for this question, we would be using the z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

We are told in the question to find the probability that a worker selected at random makes between $350 and $400

let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

From tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =

0.34134

Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134

7 0

2 years ago

Which are the solutions of x2 = –5x + 8? StartFraction negative 5 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFract

serg [7]

Answer:

$x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}$

Step-by-step explanation:

Given:

The equation to solve is given as:

$x^2=-5x+8$

Rearrange the given equation in standard form $ax^2+bx +c =0$ , where, $a,\ b,\ and\ c$ are constants.

Therefore, we add $5x-8$ on both sides to get,

$x^2+5x-8=0$

Here, $a=1,b=5,c=-8$

The solution of the above equation is determined using the quadratic formula which is given as:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Plug in $a=1,b=5,c=-8$ and solve for $x$ .

$x=\frac{-5\pm \sqrt{5^2-4(1)(-8)}}{2(1)}\\x=\frac{-5\pm \sqrt{25+32}}{2}\\x=\frac{-5\pm \sqrt{57}}{2}\\\\\\\therefore x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}$

Therefore, the solutions are:

$x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}$

4 0

2 years ago

Read 2 more answers

Janine can use up to 150 one-inch blocks to build a solid, cube-shaped model. What are the dimensions of the possible models tha

klio [65]

Answer:

A total of 12 dimensions to make perfect cubes. 1x1, 2x2, 3x3, 4x4, 5x5, 6x6, 7x7, 8x8, 9x9, 10x10, 11x11, 12x12. Can i get a brainliest?

Step-by-step explanation:

1x1=1

2x2=4

3x3=9

4x4=16

5x5=25

6x6=36

7x7=49

8x8=64

9x9=81

10x10=100

11x11=121

12x12=144

8 0

2 years ago

Read 2 more answers

Your grandparents send you a check for $150 for your birthday. You deposit the check into your savings account which has a balan

NNADVOKAT [17]

313.75 I believe that is the correct answer or som

4 0

2 years ago

For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6

lorasvet [3.4K]

Answer:

A. 180

Step-by-step explanation:

$20*6=120\ in^{3}\ of\ chocolate \\\\\frac{1*1*2}{3} =\frac{2}{3}\ in^{3}\ per\ pyramid\\\\\frac{120}{\frac{2}{3} }\ cubes\\\\\frac{120*3}{2}\ cubes\\\\\frac{360}{2}\ cubes\\\\180\ cubes$

7 0

2 years ago