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3 years ago

How many pairs of parallel lines have in a trapezoid

Mathematics

2 answers:

Tju [1.3M]3 years ago

6 0

1, the ones going horizontal because the ones going vertical will eventually meet each other travelling up

Inessa05 [86]3 years ago

5 0

1, because the two lines on the side hit eachother,
so those arent paralell but the top and bottom are paralell because they dont touch

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Lauren pays $19.99 for a membership fee to an online music store. Lauren buys songs from a new album at the price of $0.99 each.

sdas [7]

The right answer is Option B.

Step-by-step explanation:

Let,

Number of songs = x

Price of 1 song = $0.99

Membership fee = $19.99

Total amount paid = $21.97

According to given statement;

0.99x+19.99=21.97

Subtracting 19.99 from both sides

$0.99x+19.99-19.99=21.97-19.99\\0.99x=1.98$

Dividing both sides by 0.99

$\frac{0.99x}{0.99}=\frac{1.98}{0.99}\\x=2$

Lauren bought 2 songs.

The right answer is Option B.

Keywords: Linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

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4 years ago

Which statement is true? a. every rational number is an integer

Andrews [41]

Answer:

An integer is a whole, and it completes itself

Step-by-step explanation:

Even Negatives can be Integers, and Zero is the only number that is neither positive nor negative. Rational can be represented by integers, so Answer A. is true

4 0

3 years ago

The value of Tonya's car is $21,000. The car's value depreciates at a rate of 15% per year.

MariettaO [177]

9514 1404 393

Answer:

Step-by-step explanation:

Each year, the value is multiplied by 1-15% = 85% = 0.85. This is correctly shown in the function ...

f(t)=21,000(0.85)^t

5 0

3 years ago

Based on a random sample of 25 units of product X, the average weight is 102 lb and the sample standard deviation is 10 lb. We w

Dahasolnce [82]

Answer:

$t=\frac{102-100}{\frac{10}{\sqrt{25}}}=1$

$t_{crit}= 2.49$

Since the calculated value is lower than the critical value we have enough evidence to FAIL to reject the null hypothesis

So then we can conclude that the population mean is not significantly higher than 100

Step-by-step explanation:

Data given and notation

$\bar X=102$ represent the mean score for the sample

$s=10$ represent the standard deviation for the sample

$n=25$ sample size

$\mu_o =100$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z 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 higher than 100, the system of hypothesis would be:

Null hypothesis: $\mu \leq 100$

Alternative hypothesis: $\mu > 100$

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:

Calculate the critical value

We need to find the degrees of freedom first, given by:

$df= n-1= 25-1 = 24$

Since we are conducting a right tailed test we need to find a critical value on the t distribution with 24 degrees of freedom that accumulates 0.01 of the area on the right and we got:

$t_{crit}= 2.49$

Since the calculated value is lower than the critical value w have enough evidence to FAIL to reject the null hypothesis

So then we can conclude that the population mean is not significantly higher than 100

3 0

3 years ago

The bookstore at State University purchases from a vendor sweatshirts emblazoned with the school name and logo. The vendor sells

Sunny_sXe [5.5K]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

4 0

3 years ago