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3 years ago

Angle CMW and angle WML together form angle CML. Angle CMW is a right angle. What must be true about angle CML?

1 answer:

3 0

CML must be an obtuse angle.

Since CMW and WML together form CML, and CMW is a right angle, then CML must be larger than a right angle, which makes it obtuse.

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which expression is not equal to the expression shown? 3 to the 3rd power divided by 3 to the negative 4th power. Need the answe

Alecsey [184]

Answer:

$3^{-3}$ ÷ $3^{4}$

Step-by-step explanation:

Evaluate $3^3$ ÷ $3^{-4}$ , then evaluate each given expression to find which of them will give us the same result.

$3^3$ ÷ $3^{-4}$

$27$ ÷ $\frac{1}{3^4}$ (recall: $a^{-x} = \frac{1}{a^x}$

$27$ ÷ $\frac{1}{81}$

$27 * \frac{81}{1}$ (changing from division operation to multiplication by flipping the fraction to our right upside down)

$27 * 81 = 2,187$

Let's compare the expressions in the given options to the value we got above:

Option 1: 3*3⁶

= 3*729 = 2,187 (this is equal)

Option 2: 3⁷ ÷ 3⁰

= 2,187 ÷ 1 (recall: x⁰ = 1, therefore, 3⁰ = 1)

= 2,187 (this is equal)

Option 3: 3³ * 3⁴

= 27*81 = 2,187 (this is equal)

Option 4: $3^{-3}$ ÷ $3^{4}$

$\frac{1}{3^3}$ ÷ $81$

$\frac{1}{27}$ ÷ $81$

$\frac{1}{27} * \frac{1}{81}$ (changing from division to multiplication)

$= \frac{1*1}{27*81}$

$= \frac{1}{2,187}$ (not equal)

$3^{-3}$ ÷ $3^{4}$ i not equal to $3^3$ ÷ $3^{-4}$ .

8 0

3 years ago

What is the median of the data 234, 355, 470, 476, and 765?

Cloud [144]

The median is 470 I found it on a online median calculator

3 0

3 years ago

Read 2 more answers

PLS HELP What is the value of x ? A. 42 B. 43 C. 84 D. 86

Sati [7]

The value of X would have to be A-42

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3 years ago

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3/8 = r + 2/3 what is R

Kruka [31]

-7/24, because you can just do this question in reverse to figure out an answer. (3/8 - 2/3)

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3 years ago

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A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 ki

shepuryov [24]

Answer

given,

mean = 12 Kg

standard deviation = 0.5 Kg

assume the observed statistic is = 11.1

now, $\bar{X}=11.1 , \mu = 12 , \sigma = 0.5$

assuming the number of sample = 4

n = 4

Hypothesis test:

H₀ : μ≥ 12

Ha : μ < 12

now,

significant level α = 0.05

$z* = \dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z* = \dfrac{11.1-12}{\dfrac{0.5}{\sqrt{4}}}$

z* = -3.60

Test statistics, Z* = -3.60

P-value

P(Z<-3.60) = 0.002 (from z- table)

P- value = 0.002

now,

reject the value of H₀ when P-value < α

0.002 < 0.05

since, it is less P-value < α , we have to reject the null hypothesis

5 0

3 years ago