A spherical metal object with a mass of 13.0g has a diameter of 1.3cm. Calculate the density of the metal.

Answers

Answer 1

Answer:

11.304 kg/m³

Step-by-step explanation:

0.65cm radius

Volume is 1.15 cm³

.013/.00115


Related Questions

Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?

Answers

Answer:

Hanna is 8 years old.

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = 8.

Hanna is 8 years old.

Please help!!! will give brainliest!

Answers

Answer:

C

Step-by-step explanation:

circumfrence = 2 pi r

= 20* 3.14= 2*31.4= 62.8

or c

if my answer helped please mark as brainliest.

Answer:

62.8

Step-by-step explanation:

If your not aloud to don't but if you look it up there's a really good  calculator.

Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?

Answers

Answer:

25

Step-by-step explanation:

250/10 = 25

Answer:

It is 25

Step-by-step explanation:

I did the test

Fill in the blanks. After conducting research around the country, Ford Motor Company determined that the probability of a randomly selected Ford vehicle on the road being driven by a female is 0.71. If there are 3,682 Ford vehicles in your town, around __________ cars will be driven by females, give or take __________. Assume each car represents an independent tria

Answers

Answer:

2614 cars will be driven by females, give or take 28.

Step-by-step explanation:

For each Ford vehicle, there are only two possible outcomes. Either it is driven by a female, or it is not. Cars are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Company determined that the probability of a randomly selected Ford vehicle on the road being driven by a female is 0.71.

This means that [tex]p = 0.71[/tex]

If there are 3,682 Ford vehicles in your town

This means that [tex]n = 3682[/tex]

__________ cars will be driven by females, give or take __________.

The mean and the standard deviation complete this. So

Mean: [tex]E(X) = np = 3682*0.71 = 2614[/tex]

Standard deviation: [tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3682*0.71*0.29} = 28[/tex]

2614 cars will be driven by females, give or take 28.

An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Use the notation "4H", for example, to denote the outcome that the die comes up "4" and the coin comes up "heads", and "3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin.

a. Construct a tree diagram to show the 18 elements of the Sample Space S.
b. List the elements corresponding to the event A that a number less than 3 occurs on the die.
c. List the elements corresponding to the event B that two tails occur.
d. List the elements corresponding to the event C that a head and tail occur.
e. List the elements corresponding to the event A'.
f. List the elements corresponding to the event A' ∩B.
g. List the elements corresponding to the event A ∪ B.
h. Draw a Venn diagram to illustrate events A, B, and C.
i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?

Answers

Answer:

Kindly check attached picture and explanation

Step-by-step explanation:

A.) The tree diagram is attached in the picture below.

B.) Number less than 3 :

Event A:

A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}

C.)

Event B:

B = {1TT, 3TT, 5TT}

D.)

Event C:

C = {1HT, 1TH, 3HT,3TH,5HT, 5TH}

E.)  

A' = Elements not in A = number ≥ 3

A' = {3HH,3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}

Question f and G are not well formatted ;

h. Check attached picture

I) i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?

A and B are mutually exclusive if AnB = ∅

Check :

AnB = {1TT}

Hence, A and B are not mutually exclusive

A and C

AnC = {1HT, 1TH}

A and C are not mutually exclusive.

B and C

BnC = ∅

B and C are mutually exclusive

6y - 9x = 24
-3y + 2x=7

Answers

Answer:

(x, y) = (-38/5, -38/5)

Step-by-step explanation:

6y - 9x = 24

-3y + 2x = 7 $\Rightarrow$ -6y + 4x = 14.

Adding the two equtions together, we get:

(6y - 9x) + (-6y + 4x) = 24 + 14.

Simplifying, we get:

-9x + 4x = 38

-5x = 38

x = -38/5.

So, 6y - 9 * (-38/5) = 24

y = -37/5

Answer:

Step-by-step explanation:

6y - 9x = 24

-6y + 6x = 21

-3x = 45

x = -15

-3y - 30 = 7

-3y = 37

y = -37/3

Set up a proportion and use it to solve for x.
X
64
48

Answers

x/48 = 48/64
x/48 = 3/4
4x = 144
x = 36

Check: 36/48 = 3/4
What he said
Hope this helped

4, 20, 100, 500, what’s the next number?

Answers

4, 20, 100, 500, 2500

Answer:

2500

Step-by-step explanation:

multiply by 5 every time

there are 8 circles and 6 squares. what is the simplest ratio of squares to circles?

Answers

Answer:

4:3

Step-by-step explanation:

Given function:

8 circle by 6 squares

Divide similar factor by each term:

[tex]8=4[/tex]·[tex]2[/tex] [tex]6=3[/tex]·[tex]2[/tex]

Rewrite:

[tex]4:3[/tex]

Therefore, the simplest ratio for 8 circles and 6 squares would be 4:3..

Please help answer these math question will give brainless.. :)

Answers

I’m going to do one at a time 7a.) y=-3x+3

Which expression is the sum of
-5.3m + 3.4n and 2.5n + 2.8m?
A. -2.8m + 6.2n
B. -2.5m + 5.9n
C.-8.1m + 0.9n
D. 2.5m + 5.9n
+
B

Answers

Answer:

b

Step-by-step explanation:

its b because you add the 3.4n +2.5n then you subtract -5.3+2.8

Help this is really hard

Answers

Answer:

x = 18, y = 45

Step-by-step explanation:

4x - 7 + a = 180 (linear pair)

But, a = 6x + 7 (alternate interior angles)

=> 4x - 7 + 6x + 7 = 180

=> 10x = 180

=> x = 18

Now, 3y - 20 = 6x + 7 (vertically opposite angles)

=> 3y - 20 = 6(18) + 7

=> 3y = 108 + 7 + 20

=> 3y = 135

=> y = 45

Hope it helps :)

Please mark my answer as the brainliest

Answer:

x=18, y=45

Step-by-step explanation:

I'm in algebra 2, so i don't remember theorem names anymore. But I think I know how to solve it. M and N are parallel, which means that the angles that form are equal to each other on opposite sides. We also know that a flat line adds up to 180 degrees. 6x+7 + 4x-7 add up to 180. (They are not equal angles) Solve for x.  10x=180 x=18.

Now for the y value. 6x+7 and 3y-20 are equal to each other, because they are opposite angles. 6(18)+7=115. set y equal to 115. 3y-20=115. 3y=135

y=45

Prove that the value of the expression: 731^3−631^3 is divisible by 100

Answers

Answer:

is divisible by((731^3) - (631^3), 100) = True

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for a^3 - b^3 = (a-b)(a^2+ab+b^2)

By Substitution, (731-631) ( 731^2 + 731x631 +631^2)

= 100  ( 731^2 + 731x631 +631^2)

Therefore it is divisible by 100

the Elephants at the zoo eat 2 3/4 buckets of bananas each day. The zookeeper bought 5 1/2 buckets of bananas. For how many days will.the bananas last ?

Answers

Answer:

1/8

Step-by-step explanation:

2 3/4= 11/4

5 1/2= 11/2

11/2 divided by 11/4 = 1/8

X-9= -6
Please help me answer this question ASAP

Answers

Answer:

its 3

Step-by-step explanation:

3(c − 2) = 15 what’s the value of c?

Answers

Answer: 7

Step-by-step explanation:

Distribute

3c - 6 = 15

Add 6 to both sides

3c = 21

Divide 3 to both sides

c = 7

anyone know what company has a greater rate per window and explain please.

Answers

Answer:

Company B

Step-by-step explanation:

Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate

Answer:

company a the rate per window is $75

Step-by-step explanation:

the graph shows company a charges $75 for 1 window

company b (by the chart) charges $55

company c (using the equation) charges $60

35(1)+25=$60 (1 in the equation is the number of windows)

The graph shows the location of P in point hour. Point are is on the Y axis and has the same Y coordinate of point PPoint Q is graft at (N, -2). The distance from P to Q is equal to the distance from P point R. What is the distance from point P to point Q? What is the value of N? Explain how you determine the distance from point B to point Q, and the value in. The graph shows the location of P in point R. Point are is on the Y axis and has the same Y coordinate of point P

Answers

Answer:

I cant understand read ur lesson and ask help from ur teacher

#CarryOnLearning

Show all work for full credit.

Answers

Answer:

−1,−4,−9,−14,-19,-24,-29,-34,-39,-44,-49,-54

Step-by-step explanation:

Sum is 3 then 5

Gabi and Lauren picked apples on Saturday. Gabi’s bucket had 20 apples and Lauren’s basket had 1 2/5 times as many apples as Gabi. How many apples did Lauren have?

Answers

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Gabi has 20

Lauren has 20 * 1 2/5

20*1 2/5 = 20*7/5 = 28

Check for understanding:
Daniel has a checking account balance of $460.63. He must pay $85.23 for groceries and
$81.34 for his cell phone bill. He also received a shopping refund for $52.13. Does Daniel
have enough money to make his $264.00 car payment? Explain.
My learning notes:

Answers

Answer:

Daniel does have enough money to make this car payment

Step-by-step explanation:

Addition and Subtraction

Daniel has an initial balance of $460.63 on this checking account.

He must pay $85.23 for groceries.

The new balance is $460.63 - $85.23 = $375.40

He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.

He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.

Daniel has to make his $264 car payment. The balance is $346.19, thus:

Daniel does have enough money to make this car payment

At the beginning of spring, Andrew planted a small sunflower in his backyard. The sunflower's height in inches, h, after weeks, is given by the equation h = 2.5w + 19 What could the number 19 represent in the equation ?

Answers

Answer:

The sunflower's height when it was planted.

Step-by-step explanation:

The sunflower's height in inches, h, after weeks, is given by the equation :

h=2.5w + 19

We need to tell that what the number 19 represent in the equation.

If we put w=0, we get,

h=2.5(0) + 19

h = 19 inches

It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."

Which function shows a positive rate of change?

Answers

Answer: C

Step-by-step explanation:

C. because rate of change is the slope aka y/x. The other answers give off negative slopes when determining y/x.

What is the value of z?

Answers

Answer:

27°

Step-by-step explanation:

117-90=27°

27

sorry for bad sketching

Consider the function given by f(x)= x² +3. Find its average rate of change from x = -2 to x = 4.
Carefully show the work that leads to your final answer.

Answers

Answer:

[tex]Rate = 2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 3[/tex]

Required

Determine the average rate of change from -2 to 4

This is calculated using:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex]a = -2[/tex]

[tex]b = 4[/tex]

So, we have:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Rate = \frac{f(4) - f(-2)}{4 - (-2)}[/tex]

[tex]Rate = \frac{f(4) - f(-2)}{4 +2}[/tex]

[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]

Calculate f(4):

[tex]f(x) = x^2 + 3[/tex]

[tex]f(4) = 4^2 + 3[/tex]

[tex]f(4) = 19[/tex]

Calculate f(-2)

[tex]f(x) = x^2 + 3[/tex]

[tex]f(-2) = (-2)^2 + 3[/tex]

[tex]f(-2) = 7[/tex]

So:

[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]

[tex]Rate = \frac{19-7}{6}[/tex]

[tex]Rate = \frac{12}{6}[/tex]

[tex]Rate = 2[/tex]

The average rate of change is 2.

Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.

a. P(0 < X)
b. P(0.5 < X)
c. P(-0.5 = X = 0.5)
d. P(X<-2)
e. P(X < 0 or X>-0.5)
f. Determine x such that P(x < X) = 0.05.

Answers

Answer:

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

Step-by-step explanation:

Given that;

f(x) = 1.5x²

Now. the probabilities would be the integral of the given function from (-1 to 1)

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

= (1/2)x³

= 1/2 - 0

= 0.5

Therefore; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

this will also be done in the same way except that, the limits changes to { 0.5 to 1]

= (1)³/2 - (0.5)³ /2  

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

= (0.5)³/2 - (-0.5)³/2

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625  

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let the value be 'a'

Then, integral from -1 to a will = 0.05

a³ - (-1)³ = 0.05 × 2

a³ + 1 = 0.10

a³ = 0.10 - 1

a³ = -0.9

a = ∛-0.9  

a = -0.9654

Therefore, value of x is -0.9654

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

Determine the following probabilities:

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]

= 0.5

So; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

Now

[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625  

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let us assume the value be 'a'

So, integral from -1 to a will = 0.05

[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]

a = -0.9654

Therefore, the value of x is -0.9654

Learn more about the probabilities here: https://brainly.com/question/24710931

Plz guys I need help

Answers

the answer will be 16x

1 gallon 16x as constant variable

La magnitud de un ángulo depende de la longitud de sus lados verdad o falso

Answers

Veremos que la propocición es falsa. La magnitud de un ángulo no tiene dependencia con la longitud de sus lados.

¿De que depende la magnitud de un ángulo?

La magnitud de un ángulo depende unicamente de la apertura entre sus lados. Un ejemplo de esto puede ser un par de triangulos equivalentes, donde las figuras son las mismas, pero las dimensiones de los lados no lo son.

En triangulos equivalentes podemos ver que todos los angulos interiores son exactamente igulaes, pese a que la longitud de los lados es diferente, asi vemos que la magnitud de un ángulo no tiene dependencia con el largo de sus lados.

Sí quieres aprender más sobre ángulos, puedes leer:

https://brainly.com/question/15755958

Luiz and Bianca are brother and sister and go to the same school. Luiz walks to school using a footpath, a distance of 900 m, and he walks at 1.5 m/s. Bianca cycles to school along the roads, a distance of 1.5 km, and she cycles at 5 m/s. They both plan on arriving at school by 8.55 a.m. Who leaves home first and by how much?

Answers

Answer:

Luis leaves home first and he leaves 5 minutes before Bianca

Step-by-step explanation:

dL (distance travelled by Luis) = 900 m

sL(Luis'd speed) = 1.5 m/s

tL = time taken by Luis = dL/sL =  900/1.5 = 600 seconds =  10 mins

So Luis would need to leave home at 8:45 am

dB = 1.5 km = 1500 m

sB = 5 m/s

tB = dB/sB = 1500/5 = 300 seconds = 5 minutes

So Biance would leave home at 8:50 am

What is the square root

Answers

I guess it’s gonna be -3/2?
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