Find the value of the test statistic z using z=^p−p√pq/n.
The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n = 800 deaths of the elderly with 15% of them attributable to residential falls.
a. -4.71
b. -3.96
c. 4.71
d. 3.96

Answer:  [tex]\bold{G(t)=356e^{-0.59413t}}[/tex]

Step-by-step explanation:

Use the decay formula: [tex]P=P_oe^{kt}[/tex]   where

Given: P = 44.5, P₀ = 356, k = unknown, t = 210 minutes (3.5 hours)

[tex]44.5=356e^{k(3.5)}\\\\\\\dfrac{44.5}{356}=e^{3.5k}\\\\\\0.125=e^{3.5k}\\\\\\ln(0.125)=3.5k\\\\\\\dfrac{ln(0.125)}{3.5}=k\\\\\\-0.59413=k[/tex]

Input P₀ = 356 and k = -0.59413 into the decay formula

              [tex]\large\boxed{P=356e^{-0.59413t}}[/tex]

Answer:

-6x^3 - x^2 + 2x

Step-by-step explanation:

We can first start with distributing the x using the distributive property

(3x^2 + 2x)(-2x+1) Remember that when x is multiplied with 3x, it increases the exponent to 3x^2)

Now we use FOIL to distribute (First, Outside, Inside, Last)

-6x^3 + 3x^2 - 4x^2 + 2x

We can combine the like terms (3x^2 and - 4x^2) into -x^2

-6x^3 - x^2 + 2x

Answer:

1234

Step-by-step explanation:

Answer:

2625

Step-by-step explanation:

First let's see all the possible combinations.

(Even=E, Odd= O)

1) EEEO

2) EEOE

3) EOEE

4) OEEE

5) EEEE

Now let's see what E and O possibly could be

E = 0, 2, 4, 5, 6 and 8 (5)

O = 1, 3, 5, 7, 9 (5)

Now we are just simply gonna multiply

1) EEEO = 4*5*5*5

2) EEOE = 4*5*5*5

3) EOEE = 4*5*5*5

4) OEEE = 5*5*5*5

5) EEEE = 4*5*5*5

The even contains a 0, so you can't put 0 in, so (5-1=4), there are only 4 digits for the even.

500 times 4 = 2000

5⁴ = 625

2000+625= 2625

Answer:

4(x-2)^2

Step-by-step explanation:

4x^2 -16x + 16

= 4(x^2 - 4x +4)

= 4(x - 2)^2  because a^2 - 2ab + b^2 = (a - b)^2

Answer:

The answer is 4(x-2)(x-2) or 4[tex](x-2)^2[/tex]

Step-by-step explanation:

[tex]4x^2[/tex]-16x+16

There is a common factor of 4. Factor 4 out.

4( [tex]x^2[/tex]-4x+4)

Now, there is no factor in front of x, so seperate the equation into two parts, with one x on both sides:

(x ____) (x____)

The constant (4) is positive. Ways to multiply to get positive numbers:

negative x negative or

positive x positive.

Since (-4x) is negative, try with negative numbers first.

(x- ___ ) (x- ___)

Factors of 4 = 1,2,2,4

4 and 1 would combine to give 5.

2 and 2, however, work!

(x-2)(x-2)

FOIL.

x^2-2x-2x+4

x^2-4x+4

The answer is 4(x-2)(x-2) or 4[tex](x-2)^2[/tex]

it is the answer of your question

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(2y4 • 5) • y3

STEP

2

:

Equation at the end of step 2

(2•5y4) • y3

STEP

3

:

Multiplying exponential expressions

3.1 y4 multiplied by y3 = y(4 + 3) = y7

Final result :

(2•5y7)

Answer:

See below.

Step-by-step explanation:

You cannot simplify 5p + 2g since the two terms are not like terms.

Answer:

1. timely

2. measurable

3. specific

Step-by-step explanation:

Answer:

This statement is B. False

Step-by-step explanation:

You CAN tesselate six-sided regular polygons by themselves therefore, this statement is FALSE.

Hope this helped! :)

Answer:

Step-by-step explanation:

Answer:

Im pretty sure its B

Step-by-step explanation:

Answer:

136 cm^2

Step-by-step explanation:

you can divide the shape into two shapes:

first : draw a line ⊥ to BC from point E to point F

rectangle : DCEF : Area = L*W=7*13=91 cm^2

the other shape AEBF is a trapezoid:

Area of AEBF= [(a+b)/2] h where a and b are the base and h is the height

height =18-13=5

a=7, b=11

A=[(7+11)/2]*5=45 cm^2

add the two areas : 45+91=136 cm^2

hope it works, many ways to find the area

Answer:

the answer is 49

Step-by-step explanation:

18+13+11+7=49

Answer:

[tex]\frac{3\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Answer:

The density of the final mixture is 1.012 g/cm³.

Step-by-step explanation:

To calculate the density of the final mixture we need to know the mass of each solution used is. We will also need to convert the volumes from litres to cm³, to do that we can just multiply 1000.

For the ethanol:

[tex]mass = volume*density\\mass = (80*1000)*1.09 = 87,200 \text{ g}\\[/tex]

For the propylene:

[tex]mass = (148*1000)*0.97 = 143,560 \text{ g}[/tex]

So the mass in the final mix is the sum of both:

[tex]mass_{final} = 87200 + 143560 = 230,760 \text{ g}[/tex]

Therefore the density is:

[tex]density_{final} = \frac{230760}{228000} = 1.012 \text{ }\frac{g}{cm^3}[/tex]

The density of the antifreeze is 1.01 g/cm³

Equations are used to show the relationship between two or more numbers and variables.

Let x represent the density of the antifreeze in g/cm^3.

1 cm³ = 0.001 L

80 L = 80000 cm³; 148 L = 148000 cm³, 228 L = 228000 cm³

Hence:

(1.09 * 80000) + (0.97 * 148000) = x * 228000

228000x = 230760

x = 1.01 g/cm³

The density of the antifreeze is 1.01 g/cm³

Find out more at: https://brainly.com/question/21667661

Answer:

Cara.

Step-by-step explanation:

Cara went to an Island.

Answer:

c       f(0)=6

Step-by-step explanation:

they match

Answer:

The matched pairs are:

(A, 4), (B, 1), (C, 2) and (D, 3)

Step-by-step explanation:

The complete question is:

Match each description of an algebraic expression with the symbolic form of that expression :

A. 2 terms; variables = x and y

B. 3 terms; variables = x and y; constant = 3

C. 2 terms; variable = x; constant = 4.5

D. 3 terms; variables = x and y; constant = 2

1. x - 2y + 3

2. 4.5 - 2x

3. 4.5x + 2 - 3y

4. 4.5y - 2x

Solution:

A. 2 terms; variables = x and y  ⇒ 4. 4.5y - 2x

B. 3 terms; variables = x and y; constant = 3  ⇒ 1. x - 2y + 3

C. 2 terms; variable = x; constant = 4.5  ⇒ 2. 4.5 - 2x

D. 3 terms; variables = x and y; constant = 2 ⇒ 3. 4.5x + 2 - 3y

Answer:

96.15

Step-by-step explanation:

The mark the bikes up 30 %

wholesale  + wholesale * 30 percent = selling price

wholesale ( 1+ 30%) = selling price

wholesale (1.30) = 125

Divide by 1.30

wholesale = 125/1.30

wholesale =96.15384615

Rounding to the nearest cent

96.15

Answer:

the wholesale cost of this bike is $96.15

Step-by-step explanation:

2. If the bike is discounted by 20%, how much will Calvin pay (before tax)?

$100

Answer:

B. (2, 4)

D. (10, -1)

Step-by-step explanation:

The solution sets must be in the shaded region of the systems of inequalities. It cannot be on either lines because both lines are dotted. In that case, only B and D work because they are inside the shaded regions while the other points are not.

Answer:

B. (2, 4)

D. (10, -1)

Step-by-step explanation:

To be a solution, a point must be in the shaded part of the graph.

Answer: (2, 4), (10, -1)

Answer:

[tex]S^4=\left[\begin{array}{ccc}0.56875&0.43125\end{array}\right][/tex]

Step-by-step explanation:

[tex]\text{Initial-State Matrix}, S_0=\left[\begin{array}{ccc}0.1&0.9\end{array}\right][/tex]

[tex]\text{Transition Matrix}, P=\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\end{array}\right][/tex]

First, we are to determine [tex]P^4[/tex].

[tex]P^2=\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\end{array}\right]\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\end{array}\right]=\left[\begin{array}{ccc}0.8*0.8+0.2*0.3&0.8*0.2+0.2*0.7\\0.3*0.8+0.7*0.3&0.3*0.2+0.7*0.7\end{array}\right]\\\\=\left[\begin{array}{ccc}0.7&0.3\\0.45&0.55\end{array}\right][/tex]

[tex]P^4=(P^2)^2=\left[\begin{array}{ccc}0.7&0.3\\0.45&0.55\end{array}\right]\left[\begin{array}{ccc}0.7&0.3\\0.45&0.55\end{array}\right]\\=\left[\begin{array}{ccc}0.7*0.7+0.3*0.45&0.7*0.3+0.3*0.55\\0.45*0.7+0.55*0.45&0.45*0.3+0.55*0.55\end{array}\right]\\\\=\left[\begin{array}{ccc}0.625&0.375\\0.5625&0.4375\end{array}\right][/tex]

Therefore:

[tex]S^4=S_0P^4[/tex]

[tex]=\left[\begin{array}{ccc}0.1&0.9\end{array}\right]\left[\begin{array}{ccc}0.625&0.375\\0.5625&0.4375\end{array}\right]\\=\left[\begin{array}{ccc}0.1*0.625+0.9*0.5625&0.1*0.375+0.9*0.4375\end{array}\right]\\\\S^4=\left[\begin{array}{ccc}0.56875&0.43125\end{array}\right][/tex]

Answer:

CaCl2, MgO, Na2O

Step-by-step explanation:

Got it right on edg. 2020

Answer:

its 4√2i i think

Step-by-step explanation:

Answer:

Answer:B

Step-by-step explanation:

I would start by setting up a chart like I did below.

Label one column age now and the other age in 5 years.

Since we don't know the son's age we use x.

We do know that the man's age is 4 times the son's age.

So the man's age will be 4x.

In the age in 5 year column, we add 5 to their current ages.

Now set up our equation.

Since it says "in five years" we use information in second column.

In 5 years time, he, "4x + 5", will be, equals,

3 times as old as his son, "3(x + 5)".

So we have 4x + 5 = 3(x + 5).

Solving from here, we find that x = 10.

So the son is 10 and the man is 4 times his age or 40.

Answer:

None of these

Step-by-step explanation:

The congruent occurs when the two diagrams are matched with each other in terms of the same sides and same angles

In other terms, we can say that if both quadrilaterals contain the same sides and same angles so we called as congruent

As we can see in the figure that there is only angles are given but not the sides that are totally different

Hence, none of these is the right answer

Answer:

D.) Measure of angle X = 140 degrees and Measure of angle = 94 degrees

Step-by-step explanation:

Answer:

The ratio 1.8 : 2.4 can be rewritten as 3 : 4. We have to solve:

3 : 4 = x : 42

3 * 42 = 4x

x = 3 * 42 / 4 = 31.5

Answer:

If a figure has exactly three sides, then it is not a triangle.

Step-by-step explanation:

Answer: The road is 4 miles shorter across the park

Step-by-step explanation: There are two right triangles

Answer:4 KM

Step-by-step explanation:

6km+4km=10km

Both sides 14 KM

[tex]\sqrt{6^{2} +4^{2}} =Diagonally[/tex]

Diagonally 10 KM

14KM-10KM=4KM

Answer:

6 bananas

Step-by-step explanation:

Divide the dollars by the price for bananas

15/2.45

6.12244898

Round down because she cannot buy part of a banana

6 bananas

Answer: 2.12 seconds

Step-by-step explanation:

From the question, we are informed that Josie ran a lap in 45.23 seconds while Erica ran a lap in 43.11 seconds.

To calculate the extra amount of time it took Josie to complete the lap, we subtract Erica's time from Josie's time. This will be:

= 45.23 seconds - 43.11 seconds

= 2.12 seconds

Answer:

The values of x are:

x : -3, -2, -1, 0, 1, 2, 3

Let's solve each by putting each value of x into each equation:

a [tex]y = 2^x[/tex]

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. [tex]y = -2^x[/tex]

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. [tex]y = (3)(2^x)[/tex]

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Input these values into the table.

Answer:

x : -3, -2, -1, 0, 1, 2, 3

Let's solve each by putting each value of x into each equation:

a

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b.

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c.

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Input these values into the table.

[tex]\displaystyle\bf\\\textbf{We have a prism with a rectangular triangle base.}\\\\Base~area\!:~~Ab=\frac{3\times4}{2}=\frac{12}{2}=6~km^2\\\\Lateral~area\!:~~Al=(3+4+5)\times9=12\times9=108~km^2\\Total~area\!:~~At=2\times Ab+Al=2\times 6+108=12+108=\boxed{\bf120~km^2}\\[/tex]

Answer:

Step-by-step explanation:

Probability is expressed as

Number of favorable outcomes/total number of possible outcomes

From the information given,

Total number of outcomes = 16

Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15

This means that the number of favorable outcomes is 5

Therefore, the probability that the card has a multiple of 3 on it is

5/16 = 0.3125

Answer:

you can do the normal operation

or use a calculator