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2 years ago

What is the measure of j

Mathematics

2 answers:

siniylev [52]2 years ago

6 0

J=54
For future problems like this, when you have a triangle just remember that all three angles equal 180. In this problem you have vertical angles.

Effectus [21]2 years ago

5 0

Your answer is j= 54. J + 86 + 40 = 180

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Simplify x + 2/ x^2 - 6x - 16 divided by 1/9x

djverab [1.8K]

Hello there!

Simplify the expression
9/x(x - 8)

Hope this helps! :)
~Zain

7 0

2 years ago

The Bay Area Online Institute (BAOI) has set a guideline of 60 hours for the time it should take to complete an independent stud

yarga [219]

Answer:

At the 5% level, BAOI can infer that the average time to complete does not exceeds 60 hours.

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 60 \ hr$

The sample size is $n = 16$

The sample mean is $\= x = 68 \ hr$

The standard deviation is $\sigma = 20 \ hr$

The null hypothesis is $H_o : \mu = 60$

The alternative $H_a : \mu > 60$

Here we would assume the level of significance of this test to be

$\alpha = 5\% = 0.05$

Next we will obtain the critical value of the level of significance from the normal distribution table, the value is $Z_{0.05} = 1.645$

Generally the test statistics is mathematically represented as

$t = \frac{ \= x - \mu}{ \frac{ \sigma }{\sqrt{n} } }$

substituting values

$t = \frac{ 68 - 60 }{ \frac{ 20 }{\sqrt{16} } }$

$t = 1.6$

Looking at the value of t and $Z_{\alpha }$ we see that $t< Z_{\alpha }$ hence we fail to reject the null hypothesis

This means that there no sufficient evidence to conclude that it takes more than 60 hours to complete the course

At the 5% level, BAOI can infer that the average time to complete does not exceeds 60 hours.

6 0

1 year ago

Noor brought 212121 sheets of stickers. She gave \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction of a sheet to

My name is Ann [436]

Answer:

12 teachers will get 1/2 sheets each

Step-by-step explanation:

Noor bought 21 sheets of stickers

She gave 1/3 sheets to each 45 students

She wants to give teachers 1/2 of sheets

The question should be: how many teachers will she give

Total sheets=21

Students gets= 1/3 × 45

=45/3

=15 sheets

Remaining sheet= total sheets - students sheets

=21-15

=6 sheets

There are 6 sheets remaining for teachers

She wants to give 1/2 to each teacher

Then,

The number of teachers that will get =Remaining sheets ÷ each teacher's share

=6 ÷1/2

=6 × 2/1

=12 teachers

12 teachers will get 1/2 sheets each

5 0

1 year ago

Persevere in Problem Solving Christopher is thinking about charging a $2000 computer on his credit card at an interest rate of 2

AysviL [449]

Answer:

5 months is the answer. 21% of 2000 is 420 and 420x5=2100 which added up is $4,100 dollars and that is just over double the original amount.

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2 years ago

susan took two tests.the probability of her passing both tests is 0.6.the probability of her passing the first test is 0.8.what

OverLord2011 [107]

Formula for this is as follows:
probability of her passing both 0.6/0.8 - first test and this is a fraction. 0.6/0.8
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that means probability of her passing the second test is 75%

6 0

1 year ago