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3 years ago

Is it possible to contruct a triangle with angle measures 60,70 and 80 degrees

Mathematics

2 answers:

Lyrx [107]3 years ago

7 0

No, all angles must always add up to 180 degrees.

sineoko [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Coz sum of all angles of triangle must be equals to 180°, but here it's. 60+70+80=240°

,✌️;)

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The proportion of defective computers built by Byte Computer Corporation is 0.15. In an attempt to lower the defective rate, the

FinnZ [79.3K]

Answer:

a) Null hypothesis : H₀: the proportion of defective item of computer has been lowered. That is P < 0.15

Alternative hypothesis: H₁: The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

b) Test statistic $Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

c) Calculate the value of the test statistic = 0.991

d) The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e) Null hypothesis accepted at 0.01 level of significance

f) we accepted null hypothesis.

Hence the proportion of defective item of computer has been lowered.

Step-by-step explanation:

Step(i):-

Given the sample size 'n' = 42

Given random sample of 42 computers were tested revealing a total of 4 defective computers.

The defective computers 'x' = 4

The sample proportion of defective computers

$p = \frac{x}{n} = \frac{4}{42} = 0.095$

Given The Population proportion 'P' = 0.15

The level of significance ∝=0.01

Step(ii):-

a) Null hypothesis : H₀: the proportion of defective item of computer has been lowered. That is P < 0.15

Alternative hypothesis: H₁: The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

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

$Z = \frac{0.095-0.15}{\sqrt{\frac{0.15(0.85)}{42} } }$

$z = \frac{-0.055}{\sqrt{0.00303} } = - 0.9991$

Calculate the value of the test statistic Z = - 0.9991

|Z| = |- 0.9991| = 0.991

Step(iii):-

The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e) Calculate the value of the test statistic Z = 0.991 < 2.57 at 0.01 level of significance.

Conclusion:-

Hence the null hypothesis is accepted at 0.01 level of significance.

The proportion of defective item of computer has been lowered.

6 0

3 years ago

An equation is graphed below. How many solutions does the equation have?

Dimas [21]

One as it intersects only on the Y axis

6 0

3 years ago

The table below represents ordered pairs that satisfy the functions f(x) and g(x). A 3-column table has 4 rows. Column 1 is labe

allsm [11]

Answer:

B and D are the correct answers.

Step-by-step explanation:

9 0

3 years ago

Read 2 more answers

Find the surface area of the cylinder. Round your answer to the nearest tenth. (Open attachment to see image of the cylinder).

Vaselesa [24]

Formula: SA = (2 × π(pie) × radius × height) + (2 × π(pie) × radius square.)
So the equation will be SA=( 2 × 3.14 × 2 × 4) + ( 2 × 3.14 × 2²)
Then, we will get ↓ ↓
SA= 50.24 + 25.12
SA = 75.36 in²

8 0

3 years ago

When a number is increased by 2.8%, the result is 56. What is the original number to

Sever21 [200]

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.

102.8% = 1.028

2. Divide by the decimal.

$56 \div 1.028 = 54.47$

3. Round it to the nearest tenth.

54.47 rounds to 54.5.

6 0

3 years ago