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ehidna [41]
3 years ago
14

On a coordinate grid, point P is at (4, 3) and point R is at (−2, −5). Points Q and S are a reflection of both points across the

x-axis. What are the coordinates of Q and S? (5 points)
a
Q(−4, 3), S(2, −5)
b
Q(4, −3), S(−2, 5)
c
Q(−4, −3), S(2, 5)
d
Q(−4, 3), S(−2, 5)
Mathematics
1 answer:
madam [21]3 years ago
7 0

Answer: b

Step-by-step explanation:

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What is the value for x in the equation 3/4x-1/2(2-1/2x)=1/3
IgorLugansk [536]
- - We are finding the value of "X" 

"x" Is representing an unknown number, one that we must solve to find.

• The first step is going to be distributing our equation. 

\frac{3}{4} x + \frac{1}{4} x + - 1 = \frac{1}{3}
↓ ↓ ↓ ↓ ↓
( \frac{3}{4} x + \frac{1}{4} x )+ (- 1) = \frac{1}{3}


• Now we are going to do like terms by combining them.

x + -1 =  \frac{1}{3} 

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• Now need to add "1" to both sides of our equation to get our final answer.

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Step-by-step explanation:

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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2-cm and a standard dev
Varvara68 [4.7K]

Answer:

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Step-by-step explanation:

We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.

Let \bar X = <u><em>the average length of rods in a randomly selected bundle of steel rods</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean length of rods = 259.2 cm

           \sigma = standard deviaton = 2.1 cm

           n = sample of steel rods = 17

Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P(\bar X > 259 cm)

 

     P(\bar X > 259 cm) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{259-259.2}{\frac{2.1}{\sqrt{17} } } ) = P(Z > -0.39) = P(Z < 0.39)

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The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.

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Step-by-step explanation:

Hope this helps dude ^-^

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