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1 year ago

For which segment lengths is AC¯¯¯¯¯ parallel to DE¯¯¯¯¯ ?

Mathematics

2 answers:

Lemur [1.5K]1 year ago

8 0

I just took the test, this is the only question i got wrong.

#1-Parallel.

#2-Parallel

#3-Not parallel

Kruka [31]1 year ago

4 0

Answer:

Step-by-step explanation:

By triangle theorem for similarity we have

AC||DE if and only if

the ratios

$\frac{AD}{BD}=\frac{CE}{EB}$

Option I:

Here we find the ratios are equal to 1/2

Hence parallel

OPtion 2:

Here we get both ratios equal to 2/3 Hence parallel

Option 3:

Here we get I ratio =2/5 and II ratio =4/7

Since the two are not equal we get not parallel

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The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. A random sample

oksano4ka [1.4K]

Answer:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

Step-by-step explanation:

Data given and notation

$\bar X=55.82$ represent the sample mean

$s=0.77$ represent the standard deviation for the sample

$n=49$ sample size

$\mu_o =56$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is less than 56, the system of hypothesis would be:

Null hypothesis: $\mu \geq 56$

Alternative hypothesis: $\mu < 56$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

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2 years ago

Find the z-scores that bound the middle 74% of the area under the standard normal curve.

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Since 74% of the middle area is bounded, this means that there is 13% on the left side, and another 13% on the right side.

P (left) = 0.13

P (right ) = 1 - 0.13 = 0.87

At this P values, the z scores are approximately:

z score (left) = -2.22

z score (right) = 1.13

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2 years ago

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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

SR = 450
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