If 3/7 is written as a decimal, will the digits after the decimal eventually repeat?

Your friend believes that he has found a route to work that would make your commute faster than what it currently is under simil

Strike441 [17]

Answer:

The range of p-values

0.01

Step-by-step explanation:

Explanation:-

Given random sample size 'n' = 7

Assume that the populations are normally distributed

Null Hypothesis :H₀:μd=0.

Alternative Hypothesis:H₁:μd<0.

Degrees of freedom

ν = n-1 =7-1 =6

given the test statistic t = - 3.201

we will use single tailed test in t-distribution table

The test statistic t= 3.201 is lies between the critical values is 0.01 and 0.025

The range of p-values

0.01

Final answer:-

The range of p-values

0.01

5 0

3 years ago

Three students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether eac

Mumz [18]

Question is incomplete, here is the complete question below:

Three students were given the expression shown and were asked to take a common factor out of two of the terms.

Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.

7-8x+22

Calvin: 7−2(4x+11)

Calvin's expression is (correct/incorrect) because .............

Greg: 7+14x

Greg's expression is (correct/incorrect) because ............

Ruben: 7+2(4x+11)

Ruben's expression is (correct/incorrect) because .

Equivalent Expression

The correct simplification of this expression is ...............

Answer:

The correct simplification of this expression is 7-2(4x-11)

Step-by-step explanation:

Calvin: 7−2(4x+11)

Calvin's expression is incorrect because if -2 is taken as common term then sign (+) should also be changed to (-)

i.e. 7−2(4x+11) produces 7-8x-22 which is not equivalent to 7-8x+22

Greg: 7+14x

Greg's expression is incorrect because 7+14x is not equivalent to 7-8x+22

Ruben: 7+2(4x+11)

Ruben's expression is incorrect because 7+2(4x+11) =7+8x+22 which is not equivalent to 7-8x+22

Equivalent Expression is 7-2(4x-11)

The correct simplification of this expression is 7-2(4x-11)

5 0

4 years ago

Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1)

Naddika [18.5K]

Answer:

$x^{2} +y^{2} +(-8)\times x+ (-6)\times y = 0$

Step-by-step explanation:

General equation of circle is $x^{2} +y^{2} +2\times g \times x+2\times f\times y+c = 0$ ---------------------(1)

This circle passes through the given three points, (1,7) , (8,6) and (7,-1).

Substitute (1,7) in (1),

1 + $7^{2} +2\times g\times 1 + 2\times f\times 7 +c$ =0

2g + 14f + c = -50 -------------(2)

Substitute (8,6) in (1),

$8^{2} + 6^{2} +2\times g \times 8+2\times f\times 6 +c=0$

16g + 12f + c = -100 -----------(3)

Substitute (7,-1) in (1),

$7^{2} + (-1)^{2} +2\times g \times 7+2\times f\times (-1) +c=0$

14g - 2f + c = -50 ---------------(4)

Solving (2),(3) amd (4) simultaneously,

g = -4

f = -3

c = 0

Equation of circle is

$x^{2} +y^{2} +(-8)\times x+ (-6)\times y = 0$

7 0

3 years ago

Enter the ordered pair for the vertices for Rx-axis(QRST).

mash [69]

Given:

The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).

To find:

The vertices for $R_{x-axis}(QRST)$ .

Solution:

The rule $R_{x-axis}(QRST)$ represents refection of polygon QRST across the x-axis.

If a figure is reflected across the x-axis, then

$(x,y)\to (x,-y)$

Using this rule, we get

$T(-2,3)\to T'(-2,-3)$

$Q(1,5)\to Q'(1,-5)$

$R(3,-1)\to R'(3,1)$

$S(0,0)\to S'(0,0)$

Therefore, the vertices for $R_{x-axis}(QRST)$ are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).

7 0

3 years ago

Write a numerical expression to represent the phrase. the difference of 4 cubed and 25

7nadin3 [17]

Hello!

First, "the difference" of 2 numbers means you subtract these numbers.

Then, 4 cubed is written as follows:

4³

Subtract:

4³-25

[If necessary] Evaluate:

64-25

39

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

3 0

2 years ago