A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.
Complete parts​ (a) through​ (c) below.
a. Identify the null and alternative hypotheses.
b. Compute the test statistic. χ2 = ___ (round to three decimals)
c. Find the​ P-value. ​P-value=____​(Round to four decimal places as​ needed.)
d. State the conclusion. (reject null/ eccept null)

Answer:

A

Step-by-step explanation:

The - in front of -x tells us that the line has to go down (slope -1), and the +2 tells us it will pass through (0,2).

Then you can see that only graph A fits that description.

Hello!

Answer:

A

Step-by-step explanation:

if x=0 => y=2

if x=1 => y=1

This is A graph!

Answer:

x = 3y + 87

Step-by-step explanation: Hi! Ok, firstly, you know the slope, which is:

3y = x - 6

y = 1/3x - 2

Your slope is 1/3.

And you have the point (8,5). If you were to graph this, your y-intercept will be (0,29), because for every one you add to the y value, you add three to x. So, you have to add 8 to y, so 24 to x. 24 + 5 = 29.

Thus, y-intercept form is y = 1/3x + 29

Standard form will be: x = 3y + 87

Answer:

20[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The diagonal splits the square into 2 right triangles

Using Pythagoras' identity on one of the right triangles

With legs 10[tex]\sqrt{6}[/tex] and hypotenuse the diagonal d, then

d² = (10[tex]\sqrt{6}[/tex] )² + (10[tex]\sqrt{6}[/tex] )² = 600 + 600 = 1200 ( take square root of both sides )

d = [tex]\sqrt{1200}[/tex] = [tex]\sqrt{400(3)}[/tex] = [tex]\sqrt{400}[/tex] × [tex]\sqrt{3}[/tex] = 20[tex]\sqrt{3}[/tex]

Answer:

The formula to find the voltage is:

[tex]v=\sqrt{P*R}[/tex]

And the voltage is 4 volts

Step-by-step explanation:

To get the equation of voltage you need to isolate v in one side of the equation. In order to do that, you need to remove the divisor/denominator and its square. How will you do that?

First, multiply both sides with R:

[tex]P*R=\frac{v^{2} }{R} *R[/tex]

That would result into removing the divisor R from the right side of the equation:

[tex]P*R=v^{2}[/tex]

Next, square-root both sides:

[tex]\sqrt{P*R} =\sqrt{v^{2} }[/tex]

That would result in removing the square of v from the right side of the equation:

[tex]\sqrt{P*R} =v[/tex]

Thus we get the equation, [tex]v=\sqrt{P*R}[/tex].

To find out the voltage, simply replace R with 32 and P with 0.5

[tex]v=\sqrt{0.5*32}[/tex]

[tex]r=\sqrt{16}[/tex]

[tex]r=4[/tex]

Thus, the voltage is 4 volts.

Answer:

Since there are no common factors, the only common factor is 1

(●'◡'●)

Answer:

see below

Step-by-step explanation:

d = t^2

t =0

 d = 0^2 = 0

t =3

 d = 3^2 = 9

t =5

 d = 5^2 = 25

Answer:

Step-by-step explanation:

If you are using

t =0

d = 0

t =3

d = 3^2 = 9

t =5

d = 5^2 = 25

Answer: A

Step-by-step explanation:

7[tex]\pi[/tex]   pi is an irrational number and  multiply it by 7 which is an rational number makes it irrational.

Answer:

y-3= 2(x-1)

Step-by-step explanation:

1. The equation of a line in point slope form is y-y1= m(x-x1)

2. m=slope and (x1,y1) is the point the line passes through

3. The point the line passes through is (1,3)

4, The slope is 2

5. Therefore the answer is y-3=2(x-1)

Answer:

y-3=2(x-1)

Step-by-step explanation:

Point slope form is y-y1=m(x-x1)

Now we just need to plug in what you have into this equation.

y-3=2(x-1) and this is the point slope form for this line.

Answer:

-16

Step-by-step explanation:

x+6=x/2-2

solve the equation, x=-16

check:

-16+6=-10

-16/2=-8

-10-(-8)=-2

If the sum of a number and six is two less than half the same number then the number is -16.

Given,

The sum of a number and six is two less than half the same number

We will find the unknown number.

We have,

The sum of a number and six is two less than half the same number.

Let the unknown number be M.

Let us separate the given statement into parts:

- Sum of a number and six

This can be written as M + 6.

- is means equal sign "=".

- Two less than half the same number.

This can be written as (1/2)M - 2.

Now,

We can write as:

M + 6 = (1/2)M - 2

M - (1/2)M = -2 - 6

(1/2)M = -8

M = -8 x 2

M = -16

Thus the unknown number is -16.

We can also crosscheck:

M + 6 = (1/2)M - 2

-16 + 6 = (1/2)(-16) - 2

-10 = -8 -2

-10 = -10

Hence proved.

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Answer:

Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?

Step-by-step explanation:

Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?

Answer: The sum of twelve times a number m and 3.4 is equal to 9.

Step-by-step explanation:

The givens are an algebraic expression 12m + 3.4 = 9. We need to put this in words.

So here is how we do it:

The sum of twelve times a number m and 3.4 is equal to 9.

OR you can say:

9 is equal to the sum of a number m twelve times and 3.4.

Answer:

C. [tex] 13.76 units^2 [/tex]

Step-by-step explanation:

Given:

∆ABC,

m<A = 66.28°

m<B = 31.09°

AB = 7.6

BC = 7.01

Required:

Area of ∆ABC

SOLUTION:

Area = ½*AB*BC*sin(B)

[tex] Area = \frac{1}{2}*7.6*7.01*sin(31.09) [/tex]

[tex] Area = \frac{1}{2}*7.6*7.01*sin(31.09) [/tex]

[tex] Area = 13.76 units^2 [/tex]

Answer:Solving for 5 + x - 12 = 2x - 7

Standard form:

−x = 0

Factorization:

−x = 0

Solutions:

x = 0

The solution is x = 0

The value of x in the equation  5 + x -12 = 2x - 7 is x = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

5 + x -12 = 2x - 7   be equation (1)

On simplifying the equation , we get

Subtracting x on both sides of the equation , we get

5 - 12 = x - 7

Adding 7 on both sides of the equation , we get

x = 5 - 12 + 7

On simplifying the equation , we get

The value of x = - 7 + 7

The value of x = 0

Therefore , the value of x = 0

Hence , the value x of the equation is x = 0

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Answer:

Angle 1 = 39, Angle 2 = 78 , Angle 3 = 63

Step-by-step explanation:

78/2 = 39

(Angle 2/2 = Angle 1)

78 - 15 = 63

(Angle 2 - 15 = Angle 3)

39 + 78 + 63 = 180

(Angle 1 + Angle 2 + Angle 3 = 180)

Answer:

39°, 78°, 63°

Step-by-step explanation:

let ∠ 1 = x, then

∠ 2 = 2x ( twice the measure of ∠ 1 )

∠ 3 = 2x - 15 ( 15° less than ∠ 2 )

Sum the 3 angles and equate to 180

x + 2x + 2x - 15 = 180, that is

5x - 15 = 180 ( add 15 to both sides )

5x = 195 ( divide both sides by 5 )

x = 39

Thus

∠ 1 = 39°

∠ 2 = 2 × 39° = 78°

∠ 3 = 78° - 15 = 63°

Answer:

A

Step-by-step explanation:

The inverse of the statement "if a, then b" will always be "if b, then a". In this case, a = I do my homework and b = it will snow so the inverse is if it snows, then I will do my homework.

Answer:

6

Step-by-step explanation:

3/4 each

9/2 ÷ 3/4 = 6

OR

4 * 3/2 = 6

:D

Answer:

Step-by-step explanation:

[tex]4 \:bagels = 3.00\\x \:bagels = 4.50\\\\Cross\:Multiply\\\\3x = 4\times4.50\\\\3x = 18\\\\Divide\:both\:sides\:of\:the\:equation\:by\:3\\\frac{3x}{3} = \frac{18}{3} \\x = 6\\\\Answer = 6 \:bagels[/tex]

Answer:

-76

Step-by-step explanation:

[tex]f(x) = - 3 {x}^{2} - 4x + 8 \\ f( - 6) = - 3 {( - 6)}^{2} - 4( - 6) + 8 \\ f( - 6) = - 3 {( 36)} + 24+ 8\\ f( - 6) = - 108 + 32\\ f( - 6) = - 76[/tex]

Answer:

-3 × 2- 4x + 8 = -3 × 2 + -4 × -6 + 8 = -6 + 24 + 8 = 10

Answer:

$157.50

Step-by-step explanation:

150

+7.50

______

157.50

Answer:

B, C and D are not the correct way of finding the area of the square.

Step-by-step explanation:

A is the correct way of finding the area of the square because:

Area of the whole square - area of the unshaded square = the answer.

Answer:

add the

Step-by-step explanation:

Answer:

In order to find the remainder two polynomials of same degree are divided.

Step-by-step explanation:

Hope this will help you :)

Answer:

The correct option is;

AC and CD have the same length

Step-by-step explanation:

Given that the circle with center C, we have;

The length of AC extending from C to A being from the center to the circumference is the radial length of the smaller circle of center C.

Similarly, the length of the segment that extends from the center of the circle with center C to the circumference of the circle is the also the radial length of the smaller circle of center C.

Whereby the radial length of a circle is constant, then two radial lengths of the same circle are congruent and and circle radius AC is congruent to radius CD, which gives;

Length of AC = Length of CD or AC and CD have the same length.

Answer:In this question , the area of square frame is given which is 30 square inches .

And we have to find the length of the square frame .

Here we use the area of square, which is

Substituting the value of given area and solving for length, we will get

TO get rid of square , we have to take square root to both sides.

THerefore the length of the square frame is approximately 5.48 inches .

Step-by-step explanation:

Answer:

the answer is1

Step-by-step explanation:

ok its actually simple

you add the 1 by moving it to the left of the 0 to get

1+0=r

you do the problem to get

1=r

so the answer is

1

Answer:

[tex]\huge \boxed{r=1}[/tex]

Step-by-step explanation:

[tex]0=r-1[/tex]

Adding 1 to both sides.

[tex]0+1=r-1+1[/tex]

[tex]1=r[/tex]

Answer:

22. first multiply two with the digits and signs then add

So using order of operations (parentheses, exponents, multiplication & division, addition & subtraction), you have to do 4+7 inside the parentheses first, then multiply that by 2.

4+7=11

11×2=22

2(4+7)=22

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

Step-by-step explanation:

If M is the midpoint of the segment AB, then AM+MB = AB. Given the following parameters;

AM=9x-5 and MB=15-x

Required parameter

segemnt AB

Substituting the given parameters into the given formula to get AB we will have;

AB = AM+MB

AB = 9x-5+15-x

collect like terms

AB = 9x-x-5+15

AB = 8x+10

Hence the length of segment AB is 8x+10

Answer: Choice D.  sqrt(30)

sqrt is shorthand for "square root"

======================================================

Explanation:

We'll use the intersecting chords theorem here

We multiply the pieces of each chord together and set the products equal to one another to help solve for x

TW*WU = CW*WV

x*2x = 6*10

2x^2 = 60

x^2 = 60/2

x^2 = 30

x = sqrt(30)

The value of x is √30. The correct option is D.

The measure of the angle created when two chords collide inside a circle is one-half the sum of the arcs intercepted by the angle and its vertical angle.

Use the intersecting chords theorem here. Multiply the pieces of each chord together and set the products equal to one another to help solve for x

TW*WU = CW*WV

x*2x = 6*10

2x² = 60

x² = 60/2

x² = 30

x = √(30)

Therefore, the value of x is √30. The correct option is D.

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Answer:

Subtract 9 from each side of the equation.

m = – 11

Step-by-step explanation:

m + 9 = – 2

To solve the above equation, we simply subtract 9 from each side of the equation.

This is illustrated below:

m + 9 = – 2

Subtract 9 from each side of the equation

m + 9 – 9 = – 2 – 9

m + 0 = – 11

m = – 11

Therefore, the value of m is – 11

Answer:

x=3

Step-by-step explanation:

using the pythagorean theorem, c^2=a^2+b^2

5^2=x^2+4^2, x=3

Answer:Three is the right answer I just finished

Step-by-step explanation:

Answer:

897.23

Step-by-step explanation:

The decimal places start at the tenths:

00.tenths, hundredths, thousandths

So you would need to end up with only two numbers after the decimal.

To round, if a number is 4 or less, leave the next number as it is.

Ex: 2.32 → 2.3                    Rounding to the tenths

     78.614 → 78.6               Rounding to the tenths

If the number is 5 or higher, round up one number

EX: 37.76 → 37.8                Rounding to the tenths

      6.389 → 6.4                 Rounding to the tenths

Our number, 897.234, needs to be rounded to the hundredths place, so use the number to its right to determine the rounded value. The number 4 means that the hundredths place will remain the same, so the new value is:

897.23

:Done