What is 40 multiplied by 10

(-4,-6) and (3,-7) find the distance between each pair of points

Vlad [161]

Answer:

$5\sqrt{2}$

Step-by-step explanation:

distance between two points:

$d = \sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}}$

we have:

(-4, -6), (3, -7)

$x_{1} = -4$

$y_{1} =-6$

$x_{2} = 3$

$y_{2} =-7$

so we have:

$d =\sqrt{(3-(-4))^{2}+ (-7-(-6))^{2}}\\\\d =\sqrt{(7)^{2}+ (-1)^{2}}\\\\d = \sqrt{49+ 1}\\\\d=\sqrt{50}\\\\d=5\sqrt{2}$

4 0

3 years ago

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A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5% of newborn babies a

Molodets [167]

Answer:

A

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

z = -0.257

P value = P(Z<-0.257) = 0.797

Decision; we fail to reject the null hypothesis. That is, the results support the belief that 51.5% of newborn babies are boys

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 90% confidence interval) ---- reject Null hypothesis

Z score < Z(at 90% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

Given;

n=850 represent the random sample taken

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 850

po = Null hypothesized value = 0.515

p^ = Observed proportion = 434/850 = 0.5106

Substituting the values we have

z = (0.5106-0.515)/√(0.515(1-0.515)/850)

z = −0.256677

z = −0.257

To determine the p value (test statistic) at 0.10 significance level, using a two tailed hypothesis.

P value = P(Z<-0.257) = 0.797

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = -0.257) which falls with the region bounded by Z at 0.10 significance level. And also the one-tailed hypothesis P-value is 0.797 which is greater than 0.10. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 10% significance level the null hypothesis is valid.

5 0

3 years ago

Which graph represents an odd function?<br><br>Answer by using: A, B, C, or D for each graph.

vladimir1956 [14]

Answer: The correct option is C.

Explanation:

A function is called an odd function if,

$f(-x)=-f(x)$

It means if the points are in the form of (x,y) then (-x,-y) is also in the graph.

Reason for correct option:

In option C, a point (1,2),

It means,

$f(1)=2$

And we have another point (-1,-2).

$f(-1)=-f(1)=-2$

The other points are (2,3),(-2,-3),(3,-1),(-3,1),(4,0),(-4,0). Therefore the function is an odd function.

Reason for incorrect option:

In option A, a point is (1,3), therefore the value of function at x = -1 should be -3.

But the value of function is 1 at x=-1, therefore it is not an odd function.

In option B, a point is (1,0), therefore the value of function at x = -1 should be 0.

But the value of function is -3 at x=-1, therefore it is not an odd function.

In option D, a point is (1,-1), therefore the value of function at x = -1 should be 1.

But the value of function is -1 at x=-1, therefore it is not an odd function.

6 0

3 years ago

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Based only on the given information, it is guaranteed that AB 1 CD

Roman55 [17]

Answer:

true

Step-by-step explanation:

the answer is true just got done working on my son's math homework hey work that he's working these out as well he said it was true

5 0

3 years ago

(08.02)Using the following data, calculate the mean absolute deviation:

Dahasolnce [82]

Answer:

7

Step-by-step explanation:

10+7+1+6+7+9+8+10+2+5

-----------------------------------

10

65 ÷ 10

= 6.5, round up, = 7

7 0

3 years ago

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