Conceptual Set 1. A different researcher takes a sample of recently widowed spouses to measure how many times they leave the house. She wants to see if her sample is different from the population mean, which she knows to be 23.00. Which type of t-test should she use

7/4

Step-by-step explanation:

The line would go up 7 points (from -3 to 4) and across 4 points (from -3 to 1)

Answer:

The answer is below

Step-by-step explanation:

12 inches = 1 ft.

6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.

Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.

The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²

The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²

ε/D = 0.0004 ft./ 0.5 ft. = 0.0008

Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.

The head loss (h) is:

[tex]h_f=f*\frac{L}{d}* \frac{V^2}{2g}=0.02*\frac{200\ ft}{0.5\ ft} *\frac{(6\ ft/s)^2}{2*32.2\ ft/s^2}=4.5\ ft[/tex]

The pressure drop (Δp) is:

Δp = ρg[tex]h_f[/tex] = [tex](62.4\ lbf/ft^3)(4.5\ ft)= 280\ lbf/ft^2[/tex]

Answer:

The range is 5.

Step-by-step explanation:

You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9

Given:

Consider the given function:

[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}[/tex]

To prove:

[tex]f(a)+f(b)=f(a+b)[/tex]

Solution:

We have,

[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}[/tex]

Substituting [tex]x=a[/tex], we get

[tex]f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}[/tex]

[tex]f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}[/tex]

[tex]f(a)=0+a[/tex]

[tex]f(a)=a[/tex]

Substituting [tex]x=b[/tex], we get

[tex]f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}[/tex]

[tex]f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}[/tex]

[tex]f(b)=b+0[/tex]

[tex]f(b)=b[/tex]

Substituting [tex]x=a+b[/tex], we get

[tex]f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}[/tex]

[tex]f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}[/tex]

[tex]f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}[/tex]

[tex]f(a+b)=\dfrac{b^2-a^2}{b-a}[/tex]

Using the algebraic formula, we get

[tex]f(a+b)=\dfrac{(b-a)(b+a)}{b-a}[/tex]          [tex][\because b^2-a^2=(b-a)(b+a)][/tex]

[tex]f(a+b)=b+a[/tex]

[tex]f(a+b)=a+b[/tex]               [Commutative property of addition]

Now,

[tex]LHS=f(a)+f(b)[/tex]

[tex]LHS=a+b[/tex]

[tex]LHS=f(a+b)[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

Answer:

I think one tailed correct me if im wrong

Step-by-step explanation:

x = 180-106 = 74°

y = x/2 = 74/2 = 37°

4z+6 =106

4z = 100

z = 25°

Answer:

337.5 g

Step-by-step explanation:

mass=volume x density=112.5 x 3=337.5

Answer:

D) the interest rate

Step-by-step explanation:

The formula for continuously compounded interest is [tex]A(t)=Pe^{rt[/tex] where [tex]P[/tex] is the principal/initial value, [tex]r[/tex] is the interest rate in decimal form, and [tex]t[/tex] is the amount of time since the initial investment. In this case, [tex]r=0.035[/tex] would be an annual interest rate of 3.5% per year.

Answer:

45 percent

Step-by-step explanation:

The answer is C: (-1, -8)

Answer:

k = 9/4

Step-by-step explanation:

To find k, use the equation

y = kx

Pick a point

72 = k *32

Divide each side by 32

72/32 = k

9/4 = k

Answer:

k = 9/4

Step-by-step explanation:

Here , we have given equation and we need to find k.

To find k, we have given equation which is y = kx

pick any point from the table and substitute in the equation.

y = kx

We choose :- x = 8 and y = 18

18 = 8 × k

Divide each side by 8

18/8 = k

9 / 4 = k

Answer:

x = 53

Step-by-step explanation:

The sum of the angles of a triangle are 180

x + ( x+2) + 72 = 180

Combine like terms

2x+74  =180

2x+74-74 = 180-74

2x =106

Divide by 2

2x/2 = 106/2

x =53

[tex]\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}[/tex]

Answer:

0.75

Step-by-step explanation:

d = FE = 4

e = DF = 3

f = ED = 5

f/sin(F) = e/sin(E)

5/sin(90) = 3/sin(E)

5 = 3/sin(E)

sin(E) = 3/5 =0.6

E = asin(0.6) = 36.869898... degrees

tan(E) = tan(36.869898...) = 0.75

Answer:

You haven't given a picture of the graph dear.

The point (-3,-2) lies in the third quadrant.

Answer:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Also

The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Beverages:

3 from a set of 15. So

[tex]B = C_{15,3} = \frac{15!}{3!12!} = 455[/tex]

Appetizers:

3 from a set of 10. So

[tex]A = C_{10,3} = \frac{10!}{3!7!} = 120[/tex]

Desserts:

3 from a set of 13. So

[tex]D = C_{13,3} = \frac{13!}{3!10!} = 286[/tex]

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?

By the fundamental counting principle, as beverages, appetizers and desserts are independent:

[tex]T = B*A*D = 455*120*286 = 15,615,600[/tex]

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Answer:

9 weeks

235 -73=162 (this is the amount he paid)

162/18=9 (he has been paying his mom for 9 weeks)

Answer:

9 weeks

Step-by-step explanation:

235-73 = 162 (how much he has paid her thus far)

162/18 (how many times he payed her) = 9

Answer:

The graph of function g is the graph of function f shifted 6 units up

Step-by-step explanation:

If you plug in the values, [tex]g(x) = 2^{x} + 6[/tex]. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.

Answer:

44

Step-by-step explanation:

2(4x-2)

2(4(6)-2)

2(24-2)

2(22)

44

Hope this helps! :)

Answer and Step-by-step explanation:

Simply plug 6 in for x.

2(4(6) - 2) + 6

Multiply 4 by  6.

2(24 - 2) + 6

Subtract 2 from 24.

2(22) + 6

Multiply 22 by 2.

44 + 6

Add.

50

The answer is 50.

#teamtrees #PAW (Plant And Water)

Answer:

here

Step-by-step explanation:

C and D is the answer

Answer:

it is 50%

Step-by-step explanation:

>:( im doing ixl and im in paine but here is the answer ok

Answer:

C(x) = 15 + 12 * x

Step-by-step explanation:

Cost = monthly fee plus cost per hour * hours

C(x) = 15 + 12 * x

Answer:

one solution I think is the answer

Answer:

86 boxes

Step-by-step explanation:

trust me its right

Answer:

The appropriate null hypothesis is [tex]H_0: \mu = 22.6[/tex]

The appropriate alternative hypothesis is [tex]H_1: \mu < 22.6[/tex]

Step-by-step explanation:

The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.

At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:

[tex]H_0: \mu = 22.6[/tex]

At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So

[tex]H_1: \mu < 22.6[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{13 - 4.5 + (-8)}\\\\\large\textsf{= 13 - 4.5 - 8}\\\\\large\textsf{13 - 4.5 = \boxed{\bf 8.5}}\large\checkmark\\\\\large\textsf{8.5 - 8}\\\\\boxed{\large\textsf{= \bf 0.5}}\large\checkmark\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 0.5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

B

Step-by-step explanation:

26 divides by 2 = 13

13+2=14