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3 years ago

Question 4.

Mathematics

2 answers:

kobusy [5.1K]3 years ago

7 0

For the second triangle, the base is eight plus three. Also, for the first triangle, there is another triangle that has the exact same measurement so that's why I added 20 with 20. The perimeter is 175 m
Hope this helps :)

vfiekz [6]3 years ago

5 0

Answer:

About 72.23 metres

Step-by-step explanation:

Use Pythagorean Theorem to figure out all of the missing sides and then add them up. There are four right triangles you can do this with.

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10 dollars less than Caitlin

rusak2 [61]

Answer:

c-10

Step-by-step explanation:

4 0

3 years ago

A triangle PQR is right angled at R, with PQ=80cm and R=60cm. find QR? pythagorus theorem

algol13

Answer:

Solution given:

A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm

and

base[b]PR=60cm.

perpendicular [P]= QR

by using Pythagoras law

h²=p²+b²

80²=QR²+60²

QR²=80²-60²

QR= $\sqrt{2800}$

QR=20 $\sqrt{7}$ =52.9=53cm

QR=53cm.

5 0

3 years ago

The tensile strength of a fiber used in manufacturing cloth is of interest to the purchaser. Previous experience indicates that

yaroslaw [1]

Answer:

a) $z=\frac{127-125}{\frac{2}{\sqrt{8}}}=2.828$

Since is a one-side upper test the p value would be:

$p_v =P(z>2.828)=1-P(z$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and we can conclude that the true mean is higher than 125

b) We select a one sided interval since the interest is in analyze if the true mean is higher than 125, and then the alternative hypothesis needs to be the alternative hypothesis.

Step-by-step explanation:

Data given and notation

$\bar X=127$ represent the mean for the sample

$\sigma=2$ represent the standard deviation for the population

$n=8$ sample size

$\mu_o =125$ represent the value that we want to test

$\alpha$ 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)

Part a

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is higher than 125:

Null hypothesis: $\mu = 125$

Alternative hypothesis: $\mu > 125$

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".

Calculate the statistic

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

$z=\frac{127-125}{\frac{2}{\sqrt{8}}}=2.828$

Calculate the P-value

Since is a one-side upper test the p value would be:

$p_v =P(z>2.828)=1-P(z$

Conclusion

Part b

We select a one sided interval since the interest is in analyze if the true mean is higher than 125, and then the alternative hypothesis needs to be the alternative hypothesis.

5 0

3 years ago

A Choir director made a histogram showing his ages of the members in choir which statement about the data in the histogram must

aleksandr82 [10.1K]

Answer:

C) The choir has a total of 100 members

Step-by-step explanation:

Histogram is the graphical representation of data with the use of bars of different heights.

From the histogram attached:

A) Number of people fro 46 to 73 years = 30 + 5 + 15 = 50

Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100

Therefore half of the people are from 46 to 73 years.

Therefore the statement that more than half of the people are from 46 to 73 years is wrong.

B) The histogram shows the number of members between each age range, it does not show the number of male and female members. Hence we cannot determine the number of male and female members.

C) Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100

The choir has a total of 100 members

D) Number of people less than 32 years = 15 + 20 = 35

Therefore the statement that exactly 20 members are less than 32 years is wrong

6 0

3 years ago

Find a two-digit number which is both a souore number and a cubic number.

exis [7]

Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Cubes: 1, 8, 27, 64, 125

Answer : 64

8 0

3 years ago

Read 2 more answers