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strojnjashka [21]
2 years ago
11

Write an inequality for the graph. Write your answer with y by itself on the left side of the inequality.​

Mathematics
1 answer:
Lunna [17]2 years ago
6 0

Answer:

Y < -1/4x + 2

Step-by-step explanation:

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You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh
kirill [66]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean GPA of night students and μ2 be the mean GPA of day students.

The random variable is μ1 - μ2 = difference in the mean GPA of night students and the mean GPA of day students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 2.35

μ2 = 2.58

s1 = 0.46

s2 = 0.47

n1 = 30

n2 = 25

t = (2.35 - 2.58)/√(0.46²/30 + 0.47²/25)

t = - 1.8246

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.46²/30 + 0.47²/25]²/[(1/30 - 1)(0.46²/30)² + (1/25 - 1)(0.47²/25)²] = 0.00025247091/0.00000496862

df = 51

We would determine the probability value from the t test calculator. It becomes

p value = 0.0746

Since alpha, 0.05 < than the p value, 0.0746, then we would fail to reject the null hypothesis.

3 0
3 years ago
Figure
ludmilkaskok [199]

Answer:

  • a rotation, followed by a translation
  • a translation, followed by two reflections

Step-by-step explanation:

The rigid motions are the transformations that produce congruent images.

There are three main kinds of rigid motions  :

  • Reflections : Flips a figure across a line of reflection.
  • Rotations : Rotates a figure about some degrees around a center point.
  • Translations : Moves figure on a plane about some distance in a certain direction.

But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.

So, the options having dilation and term "stretch" cannot produce congruent figures.

Hence, the correct options are :

  • a rotation, followed by a translation
  • a translation, followed by two reflections
5 0
3 years ago
The perimeter of a rectangle garden is 54yd. One side has a length of 15 yd. Find the area of the garden.
Lelechka [254]

Answer:

=》Area = 180 sq.yd

Step-by-step explanation:

perimeter = 2l + 2b

where, we have l = 15

  • so (2×15) + 2b = 54
  • 30 + 2b = 54
  • 2b = 24
  • b = 12

now, Area = l × b = 12 × 15 = 180 sq.yd

5 0
2 years ago
Read 2 more answers
Please help me with this question
sergejj [24]

Answer:

49π

Step-by-step explanation:

Circle area: πr^2

Since A to C is 14, and they're both in the center, A to B and B to C will both be 7 as a radius.

Since we know the radius, we can put it in the formula, πr^2.

We only need to solve for one circle, since both circles are the same. By solving the circle, we will put in 7 for the radius, giving us π7^2, which is 49π.

5 0
3 years ago
Please help im stuck on this question! :)​
nydimaria [60]

Answer:

The answer is 6 (:

Step-by-step explanation:

88-4=84

8+6=14

84 divied by 14= 6

hope this helps! <3

7 0
3 years ago
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