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3 years ago

Which of the following is an undefined term? a. angle b. line c. ray d. vertex

Mathematics

2 answers:

love history [14]3 years ago

5 0

The three undefined terms in geometry are line, point, and plane. So:
Your answer is B

I hope this helps:)

WITCHER [35]3 years ago

3 0

Answer: b. line

Step-by-step explanation:

We know that in geometry, there are three undefined terms and they are

1) point (no dimension)

2) line (one dimension)

3) plane (two dimension)

Therefore, from the given options the undefined term is 'line'.

In geometry a line is defined as a shape that is extending infinitely in two directions but has no width. It is one dimensional .

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charity is four times as old as her daughter. she is also six years younger than her husband. The sum of their ages ten years to

Pachacha [2.7K]

Answer:

36years

Step-by-step explanation:

Let charity present age be x

Charity daughter present age be y

Charity husband present age be z

If the sum of their ages ten years to come is 117, then;

10+x+10+y+10+z = 117

30+x+y+z = 117

x+y+z = 87 ... 1

If charity is four times as old as her daughter, then;

x = 4y

y = x/4 ... 2

If she is also six years younger than her husband, then;

x = z- 6

z = x+6 .. 3

Substitute 2 and 3 into 1;

x + x/4 + (x+6) = 87

Multiply through by 4

4x + x + 4(x+6) = 4(87)

5x+4x+24 = 348

9x = 348 - 24

9x = 324

x = 324/9

x = 36

hence Charity is 36years old today

5 0

3 years ago

Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunne

Pavlova-9 [17]

Answer:

$t=\frac{2.35-1.83}{\sqrt{\frac{0.88^2}{10}+\frac{0.54^2}{7}}}}=1.507$

$p_v =P(t_{(15)}>1.507)=0.076$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and the group CTS, NOT have a significant higher mean compared to the Normal group at 1% of significance.

Step-by-step explanation:

1) Data given and notation

$\bar X_{CTS}=2.35$ represent the mean for the sample CTS

$\bar X_{N}=1.83$ represent the mean for the sample Normal

$s_{CTS}=0.88$ represent the sample standard deviation for the sample of CTS

$s_{N}=0.54$ represent the sample standard deviation for the sample of Normal

$n_{CTS}=10$ sample size selected for the CTS

$n_{N}=7$ sample size selected for the Normal

$\alpha=0.01$ 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 check if the mean for the group CTS is higher than the mean for the Normal, the system of hypothesis would be:

Null hypothesis: $\mu_{CTS} \leq \mu_{N}$

Alternative hypothesis: $\mu_{CTS} > \mu_{N}$

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{CTS}-\bar X_{N}}{\sqrt{\frac{s^2_{CTS}}{n_{CTS}}+\frac{s^2_{N}}{n_{N}}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

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

$t=\frac{2.35-1.83}{\sqrt{\frac{0.88^2}{10}+\frac{0.54^2}{7}}}}=1.507$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n_{CTS}+n_{N}-2=10+7-2=15$

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

$p_v =P(t_{(15)}>1.507)=0.076$

We can use the following excel code to calculate the p value in Excel:"=1-T.DIST(1.507,15,TRUE)"

Conclusion

6 0

3 years ago

X squared + ysquared-6y=-5

Oksanka [162]

Standard Form of the circle:

$x^{2} +(y-3) ^{2} =14$

For y:

y=3 (+/-) $\sqrt{-x} ^{2} +14$

For x:

x= $\sqrt{-y ^{2} } +6y+5

and

- \sqrt{-y} ^{2} +6y+5$

8 0

3 years ago

In a poll, 69% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicte

alekssr [168]

Answer:

At least 2 people were surveyed

8 0

2 years ago

Find the inverse, please help.

igomit [66]

Replace f(x) with y

Y = 2x -5

Swap roles of x

X= 2y-5

5+x =2y

Divide by 2

5+x /2 = y

Replace y with inverse f^-1(x)

Answer= f^-1(x) = 5+x / 2

6 0

2 years ago