If 10 g of a radioactive substance are present initially and 4 yr later only 5.0 g​ remain, how much of the​ substance, to the nearest tenth of a​ gram, will be present after 9 ​yr?

Using the z-distribution, as we are working with a proportion, it is found that you should sample 577 households.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

In this problem, the estimate is of [tex]\pi = 0.6[/tex], and we want a margin of error of M = 0.05, hence we solve for n to find the sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.6(0.4)}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.6(0.4)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.6(0.4)}}{0.05}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.6(0.4)}}{0.05}\right)^2[/tex]

[tex]n = 576.24[/tex]

Rounding up, you should sample 577 households.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

21.43

Step-by-step explanation:

Turn 7 percent to a decimal: 0.07

8800 × 0.07 = 616

13,200÷616=21.4285 etc

Round two decimal places

21.43

[tex]6x^2-11x -7\\\\=6x^2+3x -14x -7\\\\=3x(2x+1) -7(2x+1)\\\\=(2x+1)(3x-7)[/tex]

Answer:

Start are cooler when in the color Red.

Step-by-step explanation:

Answer:

the answer would be red

Step-by-step explanation:

Answer:

[tex]7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]

Step-by-step explanation:

To find the minimum amount of fabric, one needs to find the area of the table, the equation for the area of a circle is [tex]A=\pi r^{2}[/tex]

The question gives the length from one edge of the table to the other, this can also be defined as the diameter, the diameter is equal to double the raidus so dividing the diameter in half gives the radius.  The radius of this table is calculated to be 1.5 ft.

Plugging in our radius to the area equation we get [tex]A=\pi 1.5^{2}= 7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]

Answer:

1100 units³

First calculate the Base Area:

parallelogram area:

Base * Height

11 * 10

110 units²

Volume:

Base Area * Length

110 * 10

1100 units³

Answer:

volume = 1100 cm³

Step-by-step explanation:

[tex]\textsf{Volume of an oblique rectangular prism}=l \cdot w \cdot h[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\implies \textsf{Volume}=11 \cdot 10 \cdot 10 = 1100\: \sf cm^3[/tex]

Answer:

15.8

Step-by-step explanation:

I divided 190 by twelve and got 15.833333. The question said to round to one decimal place. So, I rounded to 15.8.

Answer:

$13

Step-by-step explanation:

9x + 6.6y = 71.4

6.6(4) = 26.4

71.4 - 26.4 = 45

9 / 45 = 5

$2 = 4

$1 = 5

$2 * 4 = $8

$1 * 5 = $5

$8 + $5 = $13

Answer:

95

Step-by-step explanation:

9025 is a perfect square of 95. hence the number of rows is 95.

[tex]☞︎︎︎ \: x \: \times \: x = 9025[/tex]

[tex]☞︎︎︎ \: {x}^{2} = (5 \times 5) \: \times \: (19 \times 19)[/tex]

[tex]☞︎︎︎ \: {x}^{2} = {95}^{2} [/tex]

[tex]☞︎︎︎ \: x \: = \sqrt{ {95}^{2} } [/tex]

[tex]☞︎︎︎ \: x = 95[/tex]

Answer:

no, because 2/10 is actually bigger than 2/100

Step-by-step explanation:

because if you think about a fraction as a part of a circle, and each of the denominators standed for one piece of the circle, then there would be way more pieces on the 100 circle and they would be smaller, thus, making 2 of them worth less than 2 of the circle with only 10 pieces.

Answer:

$318

Step-by-step explanation:

6% x 300 = 18

300 + 18 = 318

Answer:

maybe they could be on opposite sides?

Step-by-step explanation:

Answer:

This is my notes

Step-by-step explanation:

The value of angles are,

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A, B, and C lie on the circumference of the circle.

And, X, A and Y lie on a tangent to the circle.

Now, We get;

⇒ ∠XAC + ∠CAB + ∠BAY = 180°

⇒ 63° + ∠CAB + 69° = 180°

⇒ ∠CAB = 180 - 132

⇒ ∠CAB = 48°

Hence, We get;

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

Thus, The value of angles are,

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ7

a

Radical roots occur as conjugate pairs

Given - 5 + t is a root , then

- 5 - t is also a root → a

Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.

Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5

Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7

Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6

The congruent angles that are formed are:

The supplementary angles formed are: Same-side interior/consecutive angles.

Therefore, the following are true of the angles shown in the diagram given:

Learn more about angles on:

https://brainly.com/question/2515150

Answer:

13y+9

Step-by-step explanation:

You can add 4y and 9y because they are like terms , and the same for 3+6.

4y+9y and 3+6

13y + 9

hope this helps

Answer:

9d^2(5d−2)

Step-by-step explanation:

We are converting 12 meters into centimeters.

A meter is a larger unit of messurment then centimeter. In fact, a meter is made up of many centimeters

How many centimeters are in a meter?

We can look at the word composition of the word centimeter to figure this out:

centimeter

centi = 100

There are 100 centimeters in 1 meter.

In this problem, we have 12 meters. That is twelve 100 cm or:

12 × 100 = 1,200

12 meters is the same as 1,200 centimeters

1 meter = 100 centimeter

So ,

12 m = 12 × 100 = 1,200 centimeter

Answer:

Missing Angle = 75 degrees

This answer may not be correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The Missing Angle:

All of the angles add up to 180 since it is a triangle, so the equation is:

90 (the box aka right angle) + 15 + (the missing angle) = 180

Then, add 90 + 15 = 105. After that, do:

180 - 105 = 75 degrees (don't forget the label!)

I am so sorry, but unfortunately, I do not know the answer for finding the lengths of the sides x and y.

Answer:

Step-by-step explanation:

The missing angle is complementary with given since the triangle is right.

Use trigonometry to find x

Use Pythagorean to find y

Answer:

Convert 9 1/10 to an improper fraction.

Decimal form

=9.1

Answer:

9.1

There are other, more complicated ways to do this, but we must start with an easier, understandable way first.

__________________________________________________________

Ask in the comments box.

The twenty units of potatoes illustrates the measure of central tendency  and probability

Start by sorting the dataset:

0.19; 0.28; 0.55;

0.62; 0.68; 0.77;

0.88; 0.89; 0.98;

0.99; 1.11; 1.22;

1.22; 1.22; 1.33;

1.44; 1.48; 1.68;

1.77; 1.99

The highest occuring element is 1.22 with a frequency of 3

The two middle elements are 0.99 and 1.11.

The mean of these two middle elements is: 0.5 * (0.99 + 1.11) = 1.05

The mean of the whole dataset is:

Mean = (0.19+ 0.28+ 0.55+ 0.62+ 0.68+ 0.77+ 0.88+ 0.89+ 0.98+ 0.99+ 1.11+ 1.22+1.22+ 1.22+ 1.33+ 1.44+ 1.48+ 1.68+1.77+1.99)/20

Mean = 1.06

Hence, the modal weight is 1.22, the mean is 1.06, and the median is 1.05

(a) at least 1.1 kg

There are 10 potatoes that weigh at least 1.1 kg.

So, the probability is:

P = 10/20

P = 0.5

(b) more than 3.5kg

There are 0 potatoes that weigh more than 3.5 kg.

So, the probability is:

P = 0/20

P = 0

(c) below 0.50kg

There are 2 potatoes that weigh below 0.50 kg.

So, the probability is:

P = 2/20

P = 0.1

The Variance of the weight.

This is calculated as:

Var = [tex]\sum[/tex](x - mean)^2/n

This gives

Var = [(0.19 - 1.06)^2 + (0.28 - 1.06)^2 + (0.55 - 1.06)^2 + (0.62 - 1.06)^2 + (0.68 - 1.06)^2 + (0.77 - 1.06)^2 + (0.88 - 1.06)^2 + (0.89 - 1.06)^2 + (0.98 - 1.06)^2 + (0.99 - 1.06)^2 + (1.11 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.33 - 1.06)^2 + (1.44 - 1.06)^2 + (1.48 - 1.06)^2 + (1.68 - 1.06)^2 + (1.77 - 1.06)^2 + (1.99 - 1.06)^2]/20

Evaluate

Var = 0.22

This means that:

The expectation of the squared deviation of the random variable from the mean is 0.22 kg

Read more about measure of central tendency at:

https://brainly.com/question/17631693

Answer:

0.22 kg

Step-by-step explanation:

Answer:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

1 / 5 = 0.20

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 20

Now, we will make the Fractional Part just one digit (nearest tenth) by using our rounding rules.*

In this case, Rule I applies, so 1/5 (or 0.20) rounded to the nearest tenth in decimal format is:

Answer:

1.1

Step-by-step explanation:

If the digit after tenth is greater then or equal to 5, add 1 to the tenth.

The interval contains all of the values in the range of the function 32 to 58 dollars.

The function is as follows:

p(x)  = 12 + 2x

where

He sells 10 to 23 candies per day.

Therefore,

x = 10 and x = 23

Hence,

p(10) = 12 + 2(10) = 12 + 20 = 32

p(23) = 12 + 2(23) = 12 + 46 = 58

Therefore, the interval contains all of the values in the range of the function 32 to 58 dollars.

learn more on functions here;https://brainly.com/question/16190887

Step-by-step explanation:

Length = 6x

width = let x be width

Perimeter = 84 in

Now

Perimeter = 2 ( l + b )

84 = 2 ( 6x + x )

84 = 2 × 7x

84 / 2 = 7x

42 = 7x

x = 42 / 7

x = 6

now

width = 6 yards

length = 6x = 6 × 6 = 36 yards

now

area = l × b

= 6 × 36 yd

= 216 yd²

Answer:

I think it should be 80-89.

Because the mode can't be between 70 and 70 that wouldn't make sense. Basically 70 and 70 will equal 0 in between so it wouldn't be the best choice.

Perpendicular we need(Let it be P

So

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan25=\dfrac{P}{50}[/tex]

[tex]\\ \rm\Rrightarrow P=50tan25[/tex]

[tex]\\ \rm\Rrightarrow P=23.31ft[/tex]

The notation A = {0,1, 2} is an illustration of sets

The set A do not have isolated points

An isolated point is an element of a set that belongs to a set A and any neighboring sets N, such that the set N do not contain other elements of set A

The set A is given as:

A = {0,1, 2}

The elements of the set A do not exists in other sets

So, we can say that set A do not have isolated points

Read more about sets at:

https://brainly.com/question/1563195

Answer:
i believe the blue dot is -28