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3 years ago

. Rewrite the definition “All right angles measure 90 degrees” as a biconditional statement using “if and only if”.

Mathematics

2 answers:

dmitriy555 [2]3 years ago

7 0

Answer:

It is a right angle if and only if it measures 90 degrees.

Step-by-step explanation:

Leto [7]3 years ago

3 0

The definition after using if and only if is "<span>an angle is a right angle if and only if it measures 90 degrees".</span>

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Given g(x)=-4(x+4)^2 - 8 what transformations were done compared to the parent function f(x)=x^2 ?

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3 years ago

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17 hundreds 1 ten 8 ones --- 17 hundreds 18 ones

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3 years ago

Solve x: <br> 6 - 4x = -38<br> --Please help! This is homework due in for Monday! Xx

igomit [66]

Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction)

First, subtract 6 from both sides

-4x + 6 (-6) = -38 (-6)

-4x = -38 - 6

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Next, fully isolate the x by dividing -4 from both sides

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3 years ago

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In a metal fabrication process, metal rods are produced to a specified target length of 15 feet. Suppose that the lengths are n

Leto [7]

Answer:

95% Confidence interval: (14.4537 ,15.1463)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 feet

Sample mean, $\bar{x}$ = 14.8 feet

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, σ = 0.65 feet

Degree of freedom = n - 1 = 15

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 15 and}~\alpha_{0.05} = \pm 2.1314$

$14.8 \pm 2.1314(\dfrac{0.65}{\sqrt{16}} ) \\\\= 14.8 \pm 0.3463 = (14.4537 ,15.1463)$

is the required confidence interval for the true mean length of rods.

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3 years ago

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aleksley [76]

Answer:

The first one

Step-by-step explanation:

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3 years ago