A sample of a radioactive isotope had an initial mass of 640 mg in the year 2010 and decays exponentially over time. A measurement in the year 2014 found that the sample's mass had decayed to 440 mg. What would be the expected mass of the sample in the year 2024, to the nearest whole number?

Answer:

the first is non-statistical and the second one is statistical

Step-by-step explanation:

when it is statistical it is asking in general (like a yes or no question) and when it's non-statistical it is asking something specific.

Answer:

3.06

Step-by-step explanation:

The correct answer is - 3.06

Reason -

For sample A :

mean, [tex]\bar{x_{1} }[/tex] = 8.05          

Standard deviation, [tex]\sigma_{1}[/tex] = 1.36          

Size, [tex]n_{1}[/tex] = 50          

For sample B :

mean, [tex]\bar{x_{2} }[/tex] = 7.26          

Standard deviation, [tex]\sigma_{2}[/tex] = 1.06          

Size, [tex]n_{2}[/tex] = 38

Now,

[tex]\bar{x_{1} }[/tex] - [tex]\bar{x_{2} }[/tex]  = 8.05 - 7.26 = 0.79

Standard deviation error, SE = √([tex]\sigma_{1}[/tex]²/[tex]n_{1}[/tex] + [tex]\sigma_{2}[/tex]²/[tex]n_{2}[/tex])  = 0.2580

Now,

Z-statistic = ([tex]\bar{x_{1} }[/tex] - [tex]\bar{x_{2} }[/tex] )/ SE

                = 0.79/0.2580

                = 3.06

⇒Z-statistic = 3.06

Answer:

The second summation, counting from the top.

Step-by-step explanation:

Remember the relation:

[tex]a^{-n} = \frac{1}{a^n}[/tex]

The first summation is:

4*(  (-1/2)^0 + (-1/2)^1 +  (-1/2)^2 + (-1/2)^3)

4*( 1 - 1/2 + 1/4 - 1/8) = 2.5

Now let's analyze the options.

Let's look at option A, here we only have 2 to different powers, so we never can have a summation equal to 2.5, then we can discard that option.

Let's look at the next one (B), it will be equal to:

= (1/4)*( (-2)^4 + (-2)^3 + (-2)^2 + (-2)^1) =

= (1/4)*( 16 - 8 + 4 - 2) = 2.5

Then this summation is the one equivalent to the first one.

Answer:

B

Step-by-step explanation:

edg 2021

Answer:

6,000 Pounds =

3 Tons

Step-by-step explanation:

A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.

A ton, also referred to as a short ton, is a unit of weight equal to 2,000 pounds. It is commonly used in the United States. Most other countries use the metric ton, or "tonne".

Answer: so are you saying that 8+14x because I don’t know what you write so here the answer

Step-by-step explanation: Hope this help :D

Evaluate for x=10

8+(14)(10)

8+(14)(10)

=148

But if you don’t want that then I will guess the answer is C.11

The value of x is 8

Given: 8, 14, x

Average = 10

Then,

(8 + 14 + x) / 3 = 10

Cross product

(8 + 14 + x) = 3 × 10

22 + x = 30

x = 30 - 22

x = 8

Read more:

https://brainly.com/question/13158712

Any angle that measures less than 90 degrees

Answer:

It is C and D :)

Step-by-step explanation:

Each input is multiplied by 2 to get the output which is why it is C. The coordinates are just the input as the X value and the output as the Y value, which is why it is also D.

Hope this helps can I have brainliest pls

Answer:

Step-by-step explanation:

The volume of a cube is s^3

s = 3

Volume = 3*3*3

Volume = 27 cm^3

Greetings from Brazil!

[tex]4\dfrac{1}{2} =\dfrac{9}{2}[/tex]

[tex]Af1=\dfrac{b\cdot h}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{9}{2} \cdot 4}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{36}{2} }{2} \cdot 4\\\\\\Af1=\dfrac{18}{2} \cdot 4\\\\Af1=9\cdot 4\\\\Af1=36~m^2[/tex]

[tex]Af2=l^2\\\\Af2=(\dfrac{9}{2})^2\\\\\ Af2=\dfrac{81}{4}\\\\Af2=20,25~m^2[/tex]

[tex]At=Af1+Af2\\At=36+20,25\\At=56,25~m^2[/tex]

I hope I helped you! =)  

Answer:

There is convincing statistical evidence to suggest that the proportion of students who request certain classes is the same at each campus. ( A )

Step-by-step explanation:

Given sample size = 250

Test statistic = 4.01

P-value = 0.1347

significance level  = 0.05

while using chi-square we are supposed to reject H0, but we cant get the critical value ( Z - value ) because the information isn't available , but we are left with the P-value and this P-value been very low shows that the Alternate hypothesis is not strong enough for us to reject the Null hypothesis.

hence we will accept the Null Hypothesis  

Answer: B. There is not convincing statistical evidence to suggest that the proportion of students who request certain classes is different at each campus.

Step-by-step explanation: The null hypothesis is that the proportion of students who request certain classes is the same at each campus. Since the p-value is greater than a, there is insufficient evidence to reject the null hypothesis and conclude the alternative hypothesis, that the proportion of students who request certain classes is different at each campus.

Answer:

B. g(x) = (1/4x)²

Step-by-step explanation:

g(x) experiences a horizontal stretch where 0<|a|<1

This means we can eliminate A because that would be a horizontal compression since |a|>1

B seems to work because (1/4(4))^2=1

C does not work because you'll get 2 as your y-value

D does not work because you'd be taking 1/4 of x^2 which would give you 4.

Answer:

adjacent

x = 100

Step-by-step explanation:

These two angles share a ray in common. They are adjacent.

x + 80 = 180      Subtract 80 from both sides

x =  180 - 80

x = 100

Answer:

The table is a quadratic function

Step-by-step explanation:

Given

The attached table

Required

Tell if it is a quadratic function

The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.

(1) Subtract adjacent y values.

[tex]d_1=2 - 16 = -14[/tex]

[tex]d_2=-2 - 2 = -4[/tex]

[tex]d_3 = 4--2 = 6[/tex]

[tex]d_4 = 20 - 4 = 16[/tex]

(2) Subtract adjacent differences in (1) above

[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]

[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]

[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]

Notice the calculated differences in (2) are the same.

Hence, the table is a quadratic function

Answer:

X=9

Step-by-step explanation:

Well since its a vertical angle, vertical angles are equal Or congruent.

So they equal the same so technically

3x+8=35

Solve

x=9

Answer:

x=9°

vertically opposite Angles are equal therefore (3x+8°)=35°

then 3x=35-8

3x=27

x=9

Answer:

x = 620

y = 182

Step-by-step explanation:

The sum of two numbers is 802

x + y = 802

The difference of two numbers is 438

x - y = 438

x + y = 802

x - y = 438 Add

2x = 1240    Divide by 2

x = 1240/2

x = 620

x + y = 802

620 + y = 802      Subtract 620 from both sides

y = 802 - 620

y = 182

Answer:

first one is correct

Step-by-step explanation:

Answer:

9537÷33=289

why?

33×289=9537

Answer:

Solution given:

net surface area=9×(3+5+3+5)+2(3×5)=174in² is your answer.

TSA

Answer:

You need help with what-?

Answer:

C, D, and E work,

Step-by-step explanation:

Answer: yes the answer is (1,3) :)

Step-by-step explanation: you go by the horizontal axis (left to right) which is 1 and then the vertical axis (up and down) which is 3. the point of intersection is (1,3) hope this helps :) also don’t go to the link that the person posted, it might be dangerous.

Answer:

8/3

Step-by-step explanation:

Answer:

$153

Step-by-step explanation:

Answer:

y= [tex]\frac{3}{5}x[/tex] [tex]-\frac{26}{5}[/tex]

Step-by-step explanation:

x₁    y₁                     m= slope

(2, -4)                     point-slope equation: y - y₁ = m( x - x₁)

y-(-4) = [tex]\frac{3}{5}[/tex]( x - 2)

y + 4 = [tex]\frac{3}{5} x[/tex] - [tex]\frac{6}{5}[/tex]

y = [tex]\frac{3}{5}x[/tex] - [tex]\frac{6}{5}[/tex] - [tex]\frac{20}{5}[/tex]

y = [tex]\frac{3}{5} x[/tex] - [tex]\frac{26}{5}[/tex]

Answer:

Step-by-step explanation:

function 2

Answer:

[tex]C = (2,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (-5,-1)[/tex]

[tex]B = (-5,3)[/tex]

[tex]D = (2,3)[/tex]

Required

The coordinate of the fourth point (C)

The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.

The coordinate of such rectangle can be represented as:

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_1,y_2)[/tex]

[tex]C = (x_2,y_1)[/tex]

[tex]D = (x_2,y_2)[/tex]

By comparing the general coordinates with the given coordinates, we have:

[tex]x_1 = -5[/tex] --- see A and B

[tex]y_1 = -1[/tex] --- see A and C

[tex]x_2 = 2[/tex] ---- see C and D

[tex]y_2 = 3[/tex] --- see B and D

So, we have:

[tex]C = (x_2,y_1)[/tex]

[tex]C = (2,-1)[/tex]

Answer is:

C. (2, -1)