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2 years ago

Find the measure of arc UT

Mathematics

2 answers:

Zinaida [17]2 years ago

6 0

Answer: 125

Step-by-step explanation:

i hope this helped :)

Oksi-84 [34.3K]2 years ago

4 0

Answer:

If I was you i'll take my chances with 125 degrees.

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Find z= A) 37 B) 39 C) 51

Zielflug [23.3K]

Do you know what Y angle =

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2 years ago

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What is the sum of (2a - 3b) and (5b - a)

GalinKa [24]

Answer:

$\boxed{a + 2b}$

Step-by-step explanation:

$= > (2a - 3b) + (5b - a) \\ \\ = > 2a - 3b + 5b - a \\ \\ = > 2a - a + 5b - 3b \\ \\ = > a + 2b$

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2 years ago

Given that 2x³-5x² - 4x+8 = (Ax - 1)(x-B)(x + 1) + C for all values of x, find the

vfiekz [6]

Answer:

A=2, B=3, C=5

Step-by-step explanation:

Two polynomials are equal for all values of the variable if the corresponding coefficients are the same. The way to solve the problem is to multiply the RHS, rewrite it in a more orderly way

$(Ax-1)(x-B)(x+1)+C = \\Ax^3+(A-AB-1)x^2+(B-AB-1)x +B+C$

Now, for the two polynomials to be the same we need to have, at the same time

$x^3: A=2\\x^2: A-AB-1= -5\\x:B-AB-1=-4\\1: B+C=8$

You might notice that we have more conditions than variables, but you can consider one of the two in the middle as a "check" option.

Now, grabbing the value from the first condition into the second we get B=3. Replacing both value in the third we see that the equality still holds, and replacing into the fourth we get C =5.

8 0

1 year ago

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

2 years ago

I am a number. I am the square root of the number of squares on a chess board or a checker board. What number am I?

madreJ [45]

The number of squares on a chess or checker board is 64 and to find the square root of 64 which is 8*8=64 so the answer is 8

8 0

2 years ago

Read 2 more answers