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galina1969 [7]
3 years ago
6

Multiply. Write in simplest form. 1. 5 1/3x1 1/4 2.1 2/5x3 1/6 3.7 1/8x2 5/6

Mathematics
2 answers:
Ulleksa [173]3 years ago
6 0
1. 6 2/3
2. 4 13/30
3. 323/16
WITCHER [35]3 years ago
6 0
323/16 i hope it helps I did this already so it's easy for me
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Simplify the expression<br><br> x+3+5x
shusha [124]

Answer:

6x+3

Step-by-step explanation:

you add common terms which is x+5 and x is equal to 1 so its 5+1 which is 6 and the 3 you can't add anything to it so the answer will be 6x+3

6 0
2 years ago
A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi
Luden [163]

Answer:

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

Step-by-step explanation:

Data given and notation

\bar X=3.4 represent the sample mean  

\sigma=0.4 represent the population deviation for the sample

n=50 sample size  

\mu_o =3.3 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 to be tested  

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

Compute the test statistic  

We know the population deviation, so for this case is better 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".  

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

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

P value

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

6 0
2 years ago
2) Fill in an angle measure greater than 100 degrees for the missing angle in yellow below. You will fill
timama [110]

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110°  by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

4 0
2 years ago
In a survey, 200 people were polled about whether they preferred spending their free time playing sports, watching a movie, or r
Rama09 [41]
A) 25% of males preferred playing sports.

Explanation) .25 is the same is 25%.

B) 25% of the people surveyed preferred reading a book.

Explanation) You have to add up how many males and females rather
                      to read a book.  It's .10 + .15 =  25%.

C) 70 females were surveyed out of 200 people. 

Explanation)  Add up .15 + .5 + .15 to get .35.  Put .35 multiplied by 200 to                            get 70.



8 0
3 years ago
The area of a parallelogram is a equals BH where B is the base and H is the height of the parallelogram what is the area of a pa
trasher [3.6K]
The area of a parallelogram is 100 cm
5 0
3 years ago
Read 2 more answers
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