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3 years ago

4. A sequence of transformations was applied to an equilateral triangle in a coordinate plane.

Mathematics

1 answer:

forsale [732]3 years ago

8 0

Step-by-step explanation:

A It must be an equilateral triangle with the same side lengths as the original triangle

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A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br

Marianna [84]

Answer:

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

The manager of Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

Step:-1

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

sample proportion

$p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52$

Step:-2

Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

Alternative Hypothesis:H₁:μ > 0.64

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }$

Z = -2.5

Level of significance = 0.05

Z₀.₀₅ = 2.326

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

Final answer:-

The null hypothesis is rejected at a 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

3 0

3 years ago

How would I solve number six?

Basile [38]

Answer:

Angle ABC is equal to 130.4°

Step-by-step explanation:

When an angle is bisected, it is divided into two equal parts, so if BD bisects ∠ABC, then the two angles that add up to it, ∠ABD and ∠DBC, must be equivalent.

We know that ∠ABD equals 65.2, so that must mean that ∠DBC also equals 65.2.

Here is our equation:

∠ABC=∠ABD+∠DBC

After substituting, we will get

∠ABC=65.2+65.2=130.4

130.4° is the measure of ∠ABC.

6 0

4 years ago

Read 2 more answers

Round 2. 873 to the nearest tenth

PtichkaEL [24]

2.873 ≈2.9 (nearest tenth)

6 0

3 years ago

Read 2 more answers

Solve the formula A=12bh for h when A=90 and b=15. Write the answer in decimal form.

ohaa [14]

Answer:

Given,

A=90

b=15

A=12bh

Now,

Step-by-step explanation:

Put the given value in the formula

A=12bh

90=12*15*h

90=180h

90/180=h

Hence, h=0.5

4 0

3 years ago

Solve the equation 6x +2y = 10 for y in terms of x gives what function?

Nimfa-mama [501]

Answer:

y = - 3x + 5

Step-by-step explanation:

Given

6x + 2y = 10 ( subtract 6x from both sides )

2y = - 6x + 10 ( divide all terms by 2 )

y = - 3x + 5

3 0

3 years ago