A lamina occupies the disk x squared space plus space y squared space less or equal than 4. Find the mass, if the density at any point is proportional to its distance from the origin, where the proportionality constant is 3.

Step-by-step explanation:

given data:

total marbles = 75

red marble = 10

white marble = 30

blue marble = 20

orange marble = 15

solution:

a. Probability of drawing an orange or red

= 15/75 + 10/75

= 1/3

b. probability of not drawing a red or blue

= 1 - 20+10/ 75

= 3/5

c. Not blue

= 1 - p

= 1 - 20/75

= 11/5

d. Probability of drawing a white

= 30/75

= 2/5

e = red, white or blue

= 10/75 + 30/75 + 20/75

= 4/5

Answer:

Step-by-step explanation:4/5

Answer:

The answer is "It is not highly probable".

Step-by-step explanation:

In the given question some data is missing, that's why first we define value than its solution:

Missing value:

[tex]\bar x= 0.15\\\\s=0.06[/tex]

Solution:

[tex]\to \ H_0 : \mu \leq 0.10\\\to H_1: \mu > 0.10[/tex]

Formula:

[tex]Z= \frac{x-\mu}{s}\\\\[/tex]

   [tex]=\frac{0.15- 0.10}{0.06}\\\\=\frac{0.05}{0.06}\\\\=\frac{0.05}{0.06}\\\\=.833\\[/tex]

calculating the value of x:

formula:

[tex]x=X(Z>z)[/tex]

   [tex]=0.833-0.841\\\\=-0.008[/tex]

Answer: Hi! The answer you're looking for is 35

An integer is a positive or negative whole number. Since we're looking at +35 degrees (I put the plus for perspective; it's positive), the integer for the question would be 35.

If this was 35 degrees below 0, it would be -35.

Hope this helps!

Answer:

Hey there!

a/3=-18

a=-54

Let me know if this helps :)

Answer:

36, 525, 795, and 84

Step-by-step explanation:

36/3=12

525/3=175

795/3= 265

84/3=28

Answer:

30

Step-by-step explanation:

Formula is 1/2bh

6 times 10 = 60

60 divided by 2 equals 30

Answer:

⇒30 in²

Step-by-step explanation:

area ofΔ⇒1/2×length×width

              ⇒ 1/2×6 in×10 in

              ⇒1/2×60in²

               ⇒30 in²

Answer:

Hey there!

3^-8(3^4)=3^-4

The second option is correct.

Hope this helps :)

Answer:

The solution to the given expression is -x³ + 9x + 6

Step-by-step explanation:

(9x - 4x² + 9) + (-x³ + 4x² - 3)

Since there is a positive sign in front of the second parentheses, then the terms inside will stay the same.

9x - 4x² + 9 - x³ + 4x² - 3

Group terms together that are alike. Also known as like terms.

-x³ + (-4x² + 4x²) + 9x + (9 - 3)'

Combine like terms.

-x³ + 9x + 6

Answer:

- [tex]x^{3\\}[/tex] + 9x + 6

Step-by-step explanation:

First, you need to combine like terms. Like terms, when dealing with exponents can be categorized by their powers.

hIn this case, 9x stands alone, because there is no other coefficient with the power of just x.

9x

Next, we can look at the -4x^2. The other similar coefficient is + 4x^2. We can combine both of those, which will equal out to 0.

Next, you have 9. It can be combined with -3, since none of them have an exponent attached. It will equal 6

9x + 6

We also have a -x^3 left over. There is no like term to combine with it, so we can leave it as is.

Our problem now looks like

9x + 6 - [tex]x^{3}[/tex]

You can rearrange them in the proper order, so it will look like,

- [tex]x^{3}[/tex] + 9x + 6.

And there you have it!

Answer:

2 minutes

Step-by-step explanation:

Time taken by the electric heater = 8 minutes

Time taken by the heater+ stove = 6 min

8+time taken by the stove =6 min

Time taken by the stove alone to heat the house = 8-6= 2 minutes

Answer:

The probability that a student owns a laptop or a desktop is 92%.

Step-by-step explanation:

We are given that the probability that an online student owns a laptop is 0.82 and the probability that a student owns a desktop is 0.65. The probability that a student owns both is 0.55 .

And we have to find the probability that a student owns a laptop or a desktop.

Let the probability that a student owns a laptop = P(L) = 0.82  

The probability that a student owns a desktop = P(D) = 0.65

The probability that a student owns both laptop and desktop = P(L [tex]\bigcap[/tex] D) = 0.55

Now, the probability that a student owns a laptop or a desktop is given by = P(L [tex]\bigcup[/tex] D)

         P(L [tex]\bigcup[/tex] D) = P(L) + P(D) - P(L [tex]\bigcap[/tex] D)

                        = 0.82 + 0.65 - 0.55

                        = 0.92 or 92%

So, the probability that a student owns a laptop or a desktop is 92%.

Answer:

Step-by-step explanation:

Units = 30

Thousands = 2,000

Hundreds of Thousands = 400,000

Tens = 60

Hundreds = 100

HTHHTU

400,000

    2,000

       100

         60

         30

402,190

The value of each digit in a number is known as the place value. The number is 412,630.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

As per the given statement, the part of the numbers can be written as,

Now, summing up all, we will get the number,

Number = 30 + 2,000 + 400,000 + 600 + 10,000

              = 412,630

Hence, the number is 412,630.

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Answer: A/D/E

Step-by-step explanation:

2x + y = -5

-2x = y

2x = 4 - y

Answer: D. (-2, 1)

Step-by-step explanation:

original coordinate of L: (0, -3)

2 units left: x-2

4 units up: y+4

 (x-2, y+4)

=(0-2, -3+4)

=(-2, 1)

Hope this helps!! :)

Answer:

Option (A)

Step-by-step explanation:

If a function 'f' is an odd function,

f(-x) = -f(x)

If a function 'f' is an even function,

f(-x) = f(x)

In this question given function is,

f(x) = [tex]\frac{220}{x^3}[/tex]

To check the given function is odd or even,

f(-x) = [tex]\frac{220}{(-x)^{3} }[/tex]

      = [tex]-\frac{200}{x^{3}}[/tex]

Therefore, from the definition of even and odd functions,

Function 'f' is an odd function.

Option (A) will be the correct option.

Answer:

$26

Step-by-step explanation:

Divide 78 by 3, which will get you 26 dollars per bouquet!

Answer:

Cost per bouquet is $26.

Step-by-step explanation:

You take the total cost of all three bouquets and divide them by the number of bouquets. 78/3 = 26.

Answer:

x = -2i and 2i (or ±2i)

Step-by-step explanation:

Solve for x:

2x² - 4 = -12

2x² = -8

x² = -4

x = √(-4) = ±2i

Answer: INDEPENDENT SAMPLES T-TEST

Step-by-step explanation:

Given that;

sample size n₁ = 40, sample size n₂ = 40

sample mean x₁ = 32.9, sample mean x₂ = 30.6

Standard deviation S₁ = 4.4, Standard deviation S₂ = 5.1

Now

NULL hypothesis H₀ : u₁ = u₂

and Alternative hypothesis H₁ : u₁ > u₂

Therefore based on the information provided above, the type of test that should be used to determine whether the level of nicotine are now lower than what they were 10 years ago is the INDEPENDENT SAMPLES T-TEST

Answer:

adjacent / hypotenuse cos x° = g divided by h is right

Step-by-step explanation:

If   [tex]tanx^{o} = \frac{6}{g}[/tex] and [tex]sinx^{o} = \frac{6}{h}[/tex]  then  [tex]cosx^{o} = \frac{g}{h}[/tex] .

By right angled triangle we have,

  Trigonometric ratios as

 Given  [tex]sinx^{o} = \frac{6}{h}[/tex]  and [tex]tanx^{o} = \frac{6}{g}[/tex]

              opposite = 6, hypotenuse = h, adjacent = g

                  [tex]cosx^{o}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]  [tex]=\frac{g}{h}[/tex]

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Answer:

Option A

Step-by-step explanation:

z-score = (value - mean)/std = (65-62)/2.4 = 1.25

Answer:

y = 5/4x -11

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

where m is the slope and b is the y intercept

y = 5/4 x + b

Substitute the point into the line

-1 = 5/4(8) +b

-1 =10 +b

Subtract 10 from each side

-11 = b

y = 5/4x -11

Answer:

[tex]\huge \boxed{y=\frac{5}{4} x-11}[/tex]

Step-by-step explanation:

The slope-intercept form of a line is written as,

[tex]y=mx+b \\ \\ \\ \sf m= slope \\ \\ b=y -intercept[/tex]

The slope is given.

[tex]\displaystyle y=\frac{5}{4} x+b[/tex]

The line passes through the point (8, -1).

[tex]x=8 \\ \\ y=-1[/tex]

Plugging in the values.

[tex]\displaystyle -1=\frac{5}{4} (8)+b[/tex]

Solving for b or y-intercept of the line.

[tex]\displaystyle -1=\frac{40}{4} +b[/tex]

[tex]-1=10+b[/tex]

[tex]-11=b[/tex]

The y-intercept of the line is -11.

[tex]\displaystyle y=\frac{5}{4} x-11[/tex]

Answer:  x= y

Step-by-step explanation:

3x + y =5x -y         Subtract 5x from both sides

-5x         -5x

-2x + y = -y         Now subtract  y from both sides

       -y    -y

-2x = -2y      Now divide both sides by -2

x = y

Answer: A

Step-by-step explanation:

There are 2 ways to solve this problem.

Solution 1:

Since we are given two equations, we set them equal to each other to find where they intersect, the solution.

3x+3=-2x+3                              [combine like terms]

5x=0                                         [divide both sides by 5]

x=0

Now that we have x=0, we can plug it into either equation to find the point of intersection.

y=3(0)+3

y=3

We know that the point of intersection is (0,3).

-------------------------------------------------------------------------------------------------------------

Solution 2:

This way of solving the problem doesn't require any calculations. All it requires is an understanding of slope-intercept form equation. From the two equations given, we know that they are linear lines. Linear lines can only intersect once. Knowing this, we know that there can only be exactly one solution.

Answer:

H0 : p ≤ 0.75   against Ha : p > 0.75

Step-by-step explanation:

We formulate our null and alter native hypotheses as

H0 : p ≤ 0.75   against Ha : p > 0.75

In the question the claim whether the promotional campaign actually increased the proportion of tourists visiting the museum is given which is formulated as alternative hypothesis.

So when we formulate the alternative hypothesis as Ha : p> 0.75 the null hypothesis is H0 p ≤ 0.75

Where p is the probability = 75% = 75/100 = 0.75

Answer:

Hey there!

4c+5=27

4c+5-5=27-5

4c=22

c=5.5

Let me know if this helps :)

Answer:

c = 5.5

Step-by-step explanation:

4c + 5 = 27

Subtract 5 from both sides:

4c + 5 - 5 = 27 - 5

4c = 22

Divide the equation by 4:

4c / 4 = 22 / 4

c = 5.5

Answer:

y = (ln x) / (ln 6)

Step-by-step explanation:

1.  Exchange x and y:  x = 6^y

2. Solve for y:  Take the natural log of both sides:

                         ln x = y ln 6

             Then:  y = (ln x) / (ln 6)

Note:                 y = (log x) / (log 6) is also correct

Answer:

[tex] \tan(x) = \sin(x) + \cos(x) [/tex]

Sorry but your question is not too explanatory but I sure hope this helps

Answer:

B. 40 ≤ e ≤ 100

Step-by-step explanation:

In a function, the domain values are the independent variables, and are always plotted on the x-axis, while the range values the dependent variables, which are always plotted on the y-axis on a graph.

From the graph given, it shows that f is a function of e. Which is, [tex] e(f) [/tex].

Therefore, the range of the function would be: B. 40 ≤ e ≤ 100

Question:

At the beginning of the months, a consumer had $437.52 of in his bank account. During which he made deposits of $80, $256 and $217.14 and write checks of $115.98 and $108.90 - What balance left?

Answer:

The customer's balance is $765.78

Step-by-step explanation:

Given

Start Amount = $437.52

Deposits = $80, $256 and $217.14

Withdrawals (Checks) = $115.98 and $108.90

Required

Determine his balance

We start by calculating the total deposits made by the customer

[tex]Total\ Deposits = \$80 + \$256 + \$217.14[/tex]

[tex]Total\ Deposits = \$553.14[/tex]

Next, we calculate the total withdrawals (checks)

[tex]Total\ Withdrawals = \$115.98 + \$108.90[/tex]

[tex]Total\ Withdrawals = \$224.88[/tex]

At this point, we can now calculate the customer's balance as follows;

[tex]Balance =Start\ Amount + Total\ Deposits - Total\ Withdrawals[/tex]

[tex]Balance = \$437.52+ \$553.14 -\$224.88[/tex]

[tex]Balance = \$765.78[/tex]

Hence, the customer's balance is $765.78

The balance left in the consumer's account is $765.78.

The amount of money in the consumer's account increases with the deposits made and reduces when she writes checks.

The total value of the deposits have to be determined first.

Total value of the deposits = $256 + $217.14 + $80 = $553.14

The value of the checks written has to be determined

$115.98 + $108.90 = $224.88

Add the value of deposit, subtract the value of checks from the beginning balance

$437.52 + $553.14 - $224.88 = $765.78

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