I need help with this math question.

Triangles ABC and DEF have the following characteristics B and Eare right angles A = D BC = EF which congruence theorem can be u

kvasek [131]

AAS Angles A and D are one pair of congruent angles, then angles B and E are congruent because they are both right angles, following that you have line BC as congruent to EF so that is an angle, an angle, and a side so AAS

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6 0

3 years ago

What is the product in simplest form? -8/9 times 5/6 All the ANSWERS:

QveST [7]

C -20/27 because 5x-8= -40 and 9x6= 54 and u divide both numbers by two and get C

3 0

3 years ago

A plain old black witch hat won't be good enough this year, Wanda

Komok [63]

The answer would be $42.4. $50 minus $10 is $40. Multiply that by 106% because of tax, and you get $42.4.

Hope this helped! :)

3 0

4 years ago

GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.24 mg of mercury. A sample of 25 bulbs shows a m

amm1812

Answer:

Null hypothesis: $\mu \leq 3.24$

Alternative hypothesis: $\mu > 3.24$

Step-by-step explanation:

1) Previous concepts and data given

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

A right tailed test (sometimes called an upper test) is when the alternative hypothesis statement contains a greater than (>) symbol.

$\bar X=3.29$ represent the sample mean

s represent the sample standard deviation

n represent the sample selected

$\alpha$ significance level

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean for fluorescent bulbs is no more than 3.24 mg of mercury, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.24$

Alternative hypothesis: $\mu > 3.24$

IIf we know the population deviation we can apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3 0

4 years ago

Solve 3(x - 4) = 11x

Ivanshal [37]

Answer:

$x = \frac{-3}{2}$