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grigory [225]
3 years ago
7

Solve for x: 3x+2y=7

Mathematics
1 answer:
iVinArrow [24]3 years ago
8 0
3x+2y=7\ \ \ |subract\ 2y\ from\ both\ sides\\\\3x=7-2y\ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x=\dfrac{7-2y}{3}}
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A newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft. above the ground, and then an
jolli1 [7]
Multiply 3 by 6 to get 18 the rest of it is extra information

3*6 = 18
6 0
3 years ago
4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a
borishaifa [10]

675 people will have score between 85 and 120

Step-by-step explanation:

Given

Mean = 100

SD = 15

If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values

z-score is given by:

for a value x:

z-score = \frac{x-mean}{SD}

So,

For 85:

z-score = z_1 = \frac{85-mean}{SD}\\ = \frac{85-100}{15}\\=\frac{-15}{15}\\=-1

z-score = z_2 = \frac{120-mean}{SD}\\ = \frac{120-100}{15}\\=\frac{20}{15}\\=1.3333

Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.

So,

For z1 : 0.1587

For z2: 0.9082

The area between z11 and z2:

z_2-z_1 = 0.9082-0.1587=0.7495

So the probability of score between 85 and 120 is 0.7495

As the sample is of 900 people, the people with scores between 85 and 120 will be:

900*0.7495 = 674.55 people

Rounding off to nearest whole number

675 people will have score between 85 and 120

Keywords: Probability, SD

Learn more about probability at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

4 0
4 years ago
The point (2, -3) lies in quadrant
timurjin [86]

Answer:

Therefore,

( 2 , -3 ) Lies in Quadrant IV.

Step-by-step explanation:

Quadrant :

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants.

Recall that the coordinate plane has an x-axis that divides into a top and bottom half, and a y-axis dividing into the left and right half. Together they create the four quadrants of the plane.

Numbering is done in Anticlockwise

Quadrant I  -          x-coordinate is Positive , y-coordinate is Positive.  

Quadrant II   -        x-coordinate is Negative , y-coordinate is Positive.  

Quadrant III    -      x-coordinate is Negative , y-coordinate is Negative.  

Quadrant IV     -    x-coordinate is Positive , y-coordinate is Negative.  

Therefore,

( 2 , -3 ) Lies in Quadrant IV.

3 0
3 years ago
ASAPPPP<br> - 1/2 + (3/4 x 4/9) =
kumpel [21]

Answer:

Step-by-step explanation:

− 1 /2 + 3 /4 ( 4 /9 )

=−1 /2 + 3 /4 ( 4 /9 )

= −1 /2 + 1 /3

= −1 /6

(Decimal: -0.166667)

6 0
4 years ago
Solve 7/3 x 3/7=-2/3(3/7). X=
almond37 [142]

Answer:

x= 2/7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7/3x 3/7=2/3(3/7)

so 2/7

7 0
4 years ago
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