Caroline weighs 41,390,000 milligrams and her baby sister weighs 3,415 grams. What is their total weight in kilograms?
A. 4.4805 kg
B. 448.05 kg
C. 44.805 kg
D. 4480.5 kg

Answer:

It's the last one!

Step-by-step explanation:

Hope this helps!

Answer:

a) z = 0.12

b) z = 0.52

c) z = 1.18

Step-by-step explanation:

The  z values is the area under the curve lying to its left

a) Hence, P (Z<z) = 0.5478

Taking the value of z from the standard normal table, we get -

z = 0.12

b) P (Z<z) = 0.6985

Taking the value of z from the standard normal table, we get -

z = 0.52

c) P (Z<z) = 0.8810

Taking the value of z from the standard normal table, we get -

z = 1.18

Answer:

Step-by-step explanation:

Answer:

The residual is of 7 mg.

Step-by-step explanation:

Linear model:

A linear model has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the intercept.

Suppose the model had intercept 37 and slope 25.

This means that [tex]b = 37, m = 25[/tex]

So

[tex]y = 25x + 37[/tex]

9 grams of fiber

This means that [tex]x = 9[/tex]. So

[tex]y = 25(9) + 37 = 262[/tex]

255 milligrams of potassium. What is the residual (in mg)?

Expected subtracted by actual. So

262 - 255 = 7

The residual is of 7 mg.

Answer: Georgia, California, New York, Minnesota

Answer:

13th term

Step-by-step explanation:

41 = 7n - 50

41 + 50 = 7n

91 = 7n

7n = 91

n = 91/7

n = 13

13th term has value 41

Answer:

V = 314.2 ft^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h    r is the radius (5) and h is the height (4)

Using the pi button for pi

V = pi (5^2) (4)

V =314.1592654

Rounding to the nearest tenth

V = 314.2 ft^3

Answer:

Step-by-step explanation:

8[tex]\frac{1}{3}[/tex] + 3[tex]\frac{1}{3}[/tex]

=8*3+1/3 + 3*3+1/3

=24+1/3 + 9+1/3

=25/3 + 10/3

taking LCM od denominator

=25+10/3

=35/3

11[tex]\frac{2}{3}[/tex] acres

9514 1404 393

Answer:

  An isosceles right triangle

Step-by-step explanation:

Any triangle with a congruent pair of sides is an isosceles triangle. If the triangle is also a right triangle, it is ...

  an isosceles right triangle

__

The sides will have the ratios 1 : 1 : √2, and the acute angles will be 45°.

Step-by-step explanation:

This is your answer for the question

Answer:

$450

Step-by-step explanation:

We know that they cost 948 together and the table costs 48 more than the bench so we have:

2x+48=948. Solve this and we have

2x=900

x=450

The bench is 450 and the garden table is (450+48) 498!

9=6y + 33 the answer is  y=−4

the next one is   x=10

Step-by-step explanation:

Answer:

hope it helped u :)

Step-by-step explanation:

[tex]9 + 6y = 33\\6y = 33 - 9\\6y = 24\\y = 4\\\\\\-4(2-1.2x) = 40\\-8 + 4.8x = 40\\4.8x = 48\\x = \frac{48}{4.8} = \frac{48 \times 10}{48} = 10[/tex]

Answer:

B. 2 and 6

Step-by-step explanation:

Corresponding angles in the given diagram is 2 and 6 which is option b.

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal. The opening and shutting of a lunchbox, solving a Rubik's cube, and never-ending parallel railway tracks are a few everyday examples of corresponding angles. These are formed in the matching corners or corresponding corners with the transversal.

According to above definition

Two parallel lines are intersected by the transversal and 4 corresponding angles comes.

2 and 6

1 and 5

3 and 7

4 and 8

Hence, Corresponding angles in the given diagram is 2 and 6.

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Answer:

A)-4

Step-by-step explanation:

180=120+x+64

x=180-120-64

x=-4

Answer:

a. The minimum sample size required is of 60,025.

b. The minimum sample size required is of 20,465.

c. The minimum sample size required is 9,589.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

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

Question a:

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

p and q unknown means that we use [tex]\pi = 0.5[/tex], which is when the largest sample size is needed.

Margin of error: 0.004

We have to find n for which M = 0.004. So

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

[tex]0.004 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.004\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.004}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.004})^2[/tex]

[tex]n = 60025[/tex]

The minimum sample size required is of 60,025.

b. Margin of error: 0.009, confidence level: 99%; p and q unknown

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

Margin of error: 0.009

We have to find n for which M = 0.009. So

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

[tex]0.009 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.009\sqrt{n} = 2.575*0.5[/tex]

[tex]\sqrt{n} = \frac{2.575*0.5}{0.009}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.009})^2[/tex]

[tex]n = 20464.9[/tex]

Rounding up:

The minimum sample size required is of 20,465.

c. Margin of error: 0.01; confidence level: 95%; from a prior study, p is estimated by the decimal equivalent of 52%.

Here we have [tex]\pi = 0.52[/tex].

The minimum sample size is n for which M = 0.01. So

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

[tex]0.01 = 1.96\sqrt{\frac{0.52*0.48}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.96\sqrt{0.52*0.48}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.52*0.48}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.52*0.48}}{0.01})^2[/tex]

[tex]n = 9588.6[/tex]

Rounding up:

The minimum sample size required is 9,589.

Answer:

3

Step-by-step explanation:

Answer:

The numbers are 11 and -4

Step-by-step explanation:

Given

Let the two numbers be [tex]x[/tex] and [tex]y[/tex]

such that:

[tex]x + y = 7[/tex]

[tex]x*y = -44[/tex]

Required

Find x and y

Make y the subject in: [tex]x + y = 7[/tex]

[tex]y = 7 - x[/tex]

Substitute [tex]y = 7 - x[/tex] in [tex]x*y = -44[/tex]

[tex]x(7-x) = -44[/tex]

Open bracket

[tex]-x^2 +7x = -44[/tex]

Rewrite as:

[tex]x^2 -7x -44=0[/tex]

Expand

[tex]x^2 +4x-11x -44=0[/tex]

Factorize

[tex]x(x +4)-11(x +4)=0[/tex]

Factor out x + 4

[tex](x -11)(x +4)=0[/tex]

Solve for x

[tex]x =11; x =-4[/tex]

Recall that:

[tex]y = 7 - x[/tex]

So:

[tex]y = 7-11 = -4[/tex]

or

[tex]y = 7--4 = 11[/tex]

Answer:

It has reflectional symmetry with one line of semetry

Step-by-step explanation:

The line of semetry is through the middle of the figure

The statement which is true about this figure is that It has reflectional symmetry with one line of symmetry.

Line of symmetry of a figure or a shape is the line which divides the figure or shape in to equal and symmetrical parts.

This line is also called as axis of symmetry.

It is sometimes also called as mirror line since the line divides in to parts which looks like mirror images.

Given a figure.

Reflection symmetry is that a figure if folded along a line of symmetry will coincide each parts.

Rotational symmetry is that a figure if rotated through a certain degree wil give the same image.

If a line of symmetry is drawn vertically through the center of the figure, the figure has reflectional symmetry.

Hence the correct option is that It has reflectional symmetry with one line of symmetry.

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Answer:

not existing

Step-by-step explanation:

[tex] \frac{ - 6 + x}{ {x}^{4} } [/tex]

lim x goes to 0 is

[tex] \frac{ - 6 + 0}{ {0}^{4} } = \frac{ - 6}{0} [/tex]

so not exist

I'm not sure if u mean that or this

Answer:

a. The title of a randomly selected individual's favorite book --> Nominal

b. The height of a randomly selected semi tractor and trailer on I 70 --> Ratio

c. Placement (1st, 2nd, etc.) within a video game tournament --> Ordinal

d. The temperature in Paris, France at noon --> Interval

Step-by-step explanation:

Required

The level of measurement of each

The question was submitted along with the (correct) answers; So, I will provide the explanations

(a) When data are measured using tags and labels; the level of measurement is Nominal

In (a), the data are measured using titles; this represents nominal level

(b) When data are measured using differences or intervals; the level of measurement is Ratio.

In (b), the data are represented using ratio such as 1 - 70 (i.e. 1 to 70); this represents ratio level

(c) When data are measured using orders such as first, second, etc.; the level of measurement is Ordinal

In (c), the data are categorized using 1st, 2nd, etc...; this represents ordinal level

(d) When data are measured using interpretable and meaningful intervals; the level of measurement is Interval;

In (d), the data are categorized using temperature at a certain interval; this represents interval level

Answer:

x=2at/(1+t²)

dx/dt =[(1+t²)(2at)'-(2at)(1+t²)']/(1+t²)²

dx/dt=[(1+t²)(2a)-(2at)(2t)]/(1+t²)²

dx/dt=[2a+2at²-4at²]/(1+t²)²

dx/dt=[2a-2at²]/(1+t²)²

y=[b(1-t²)]/(1+t²)

dy/dt=[(1+t²)(b(1-t²))'-b(1-t²)(1+t²)']/(1+t²)²

dy/dt=[((1+t²)(-2bt)-b(1-t²)(2t)]/(1+t²)²

dy/dt=(-2bt-2bt³-2bt+2bt³)/(1+t²)²

dy/dt=(-4bt)/(1+t²)²

dy/dx=(dy/dt)/(dx/dt)

dy/dx=[(-4bt)/(1+t²)²]/[(2a-2at²)/(1+t²)²]

Cancelling common denominator

dy/dx=(-4bt)/(2a-2at²)

dy/dx=(-2bt)/(a-at²)

dy/dx=(2bt)/(at²-a)

Differentiating the above equation

y''=d²y/dx²=D[(2bt)/(at²-a)]

y''=[(at²-a)D(2bt)-(2bt)D(at²-a)]/(at²-a)²

y''=[(at²-a)(2b)(dt/dx)-(2bt)(2at)(dt/dx)]/(at²-a)²

dt/dx=(1+t²)²/(2a-2at²)

y''=[(at²-a)(2b)[(1+t²)²/(2a(1-t²))]-

(4abt²)[(1+t²)²/(2a-2at²)]/(at²-a)²

y''=[(-b)(1+t²)²-(2bt²)[(1+t²)²/(1-t²)]/(at²-a)²

y''=[(-b)(1+t²)²(1-t²)-(2bt²)(1+t²)²]/[(1-t²)(at²-a)²]

y''=[b(1+t²)²(t²-1)-2bt²(1+t²)²]/[(1-t²)(at²-a)²]

Step-by-step explanation:

Answer:

D is the answer. because their are three scalene triangles

Answer:

D)There are exactly three scalene triangles

Step-by-step explanation:

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

Explanation:

f(x) is the outer function, so the final output -8 corresponds to f(x)

We see that f(-4) = -8 in the first column of the table. I'm starting with the output and working my way backward to get the input. So we started with -8 and worked back to -4.

Then we move to the g(x) function to follow the same pattern: start with the output and move to the input. We start at -4 in the g(x) bubble and move to 3 in the x bubble.

In short, g(3) = -4

So,

f(g(x)) = f(g(3)) = f(-4) = -8

We see that x = 3 leads to f(g(x)) = -8

Answer:

I apologize for not being able to hang out but, I have a situation I need to take care of. I wish I wasn't in this current predicament but I can not leave this problem unsolved. I need to (take care of my younger siblings, finish an assignment, study for a test/quiz, or am simply tired and need to relax). Any of those options could be acceptable.

I hope this helps! :D

Answer:

10

Step-by-step explanation:

ABC is similar to RST,

so BC is corresponding to ST, and AC is corresponding to RT

BC=12 and ST=8

so the scale factor from RST to ABC is 1.5 and the scale factor from ABC to RST is 2/3 because 12*(2/3) is 8, and 8*1.5 is 12.

now apply this to AC to find RT

AC=15

15*(2/3)=10

10*1.5=15

RT =10

Answer:

5

Step-by-step explanation:

I think it is, I have no clue.

Here's some examples though, 5 example of not well defined sets: - Number of fire damages. - Number of reported crime scenes. ... - Numbers of illegal settlers.

Red, blue, yellow, green, purple is well-defined since it is clear what is in the set.

Answer:

Base

Step-by-step explanation:

The segment joining the two legs of a trapezoid is called base

Answer:

The probability of selecting 2 Democrats and 2 Republicans is 29.36%.

Step-by-step explanation:

Given that a city council consists of 7 democrats and 7 republicans, to determine, if a committee of 4 people is selected, the probability of selecting 2 Democrats and 2 Republicans must be performed the following calculation:

7/14 x 6/13 x 7/12 x 6/11 = X

0.5 x 0.46 x 0.58 x 0.54 = X

0.0734 = X

0.0734 x 100 = 7.34 x 4 = 29.36

Therefore, the probability of selecting 2 Democrats and 2 Republicans is 29.36%.