Determine whether the distribution represents a probability distribution. X 3 6 1 P(X) 0.3 0.4 0.3 0.1 O a. Yes O b. No

Answer:

y=12 .

180-106=74

74+3y+22+4y=180

96+7y=180

7y=84

y=12

4×12 = 48

Step-by-step explanation:

Good luck dear ;)

The mathematical expressions to determine the product or quotient in scientific notation are matched below;

\((3.8 \times 10^3 )\: \times (9.4 × 10^-5)\) \( = 3.6 \times {10}^{ - 1} \)

\((4.2 \times 10^7) \times (7.4 \times 10^-2) \) \( = 3.1 \times {10}^{6} \)

\( \frac{(8.6 \times 10^-6) \times (7.1 \times 10^ - 9)}{(4.1 \times 10^ -2) \times ( 2.8 \times 10 ^-7)} \) \( = 5.3 \times {10}^{ - 6} \)

\( \frac{(6.9 \times {10}^{ - 4}) \times (7.7 \times {10}^{ - 6}) }{(2.7 \times {10}^{ - 2}) \times (4.7 \times {10}^{ - 7} ) } \) \( = 4.2 \times {10}^{ - 1} \)

1.

\((3.8 \times 10^3 )\: \times (9.4 × 10^-5)\)

multiply the base and add the powers

\( = (3.8 \times 9.4) \times {10}^{3 + ( - 5)} \)

\( = 35.72 \times {10}^{ - 2} \)

\( = 3.6 \times {10}^{ - 1} \)

2.

\((4.2 \times 10^7) \times (7.4 \times 10^-2) \)

multiply the base and add the powers

\( = (4.2 \times 7.4) \times {10}^{7 + ( - 2)} \)

\( = 31.08 \times {10}^{5} \)

\( = 3.1 \times {10}^{6} \)

3.

\( \frac{(8.6 \times 10^-6) \times (7.1 \times 10^ - 9)}{(4.1 \times 10^ -2) \times ( 2.8 \times 10 ^-7)} \)

solve the numerator and denominator separately

\( = \frac{(8.6 \times7.1) \times {10}^{ - 6 - 9} }{(4.1 \times 2.8) \times {10}^{ - 2 - 7} } \)

\( = \frac{61.06 \times {10}^{ - 15} }{11.48 \times {10}^{ - 9} } \)

\( = (61.06 \div 11.48) \times {10}^{ - 15 + 9} \)

\( = 5.3 \times {10}^{ - 6} \)

4.

\( \frac{(6.9 \times {10}^{ - 4}) \times (7.7 \times {10}^{ - 6}) }{(2.7 \times {10}^{ - 2}) \times (4.7 \times {10}^{ - 7} ) } \)

\( = \frac{(6.9 \times 7.7) \times {10}^{ - 4 - 6} }{(2.7 \times 4.7) \times {10}^{ - 2 - 7} } \)

\( = \frac{53.13 \times {10}^{ - 10} }{12.69 \times {10}^{ - 9} } \)

\( = (53.13 \div 12.69) \times {10 }^{ - 10 + 9} \)

\( = 4.2 \times {10}^{ - 1} \)

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Answer:

Your answer is: ↓

A) 8

B) 5

C) 6 / 13

Reduce the expression, if possible, by cancelling the common factors.

Step-by-step explanation:

Hope this helped : )

If the instruction booklet for a CD player says that player uses 0.2 kilowatt of electricity per hour and electricity costs $0.30 per kilowatt hour, then the cost to run the player for an hour is $0.06 .

The cost of running a CD player for an hour can be calculated by multiplying (the amount of electricity it uses) by (the cost per kilowatt hour) .

According to the instruction booklet, the player uses 0.2 kilowatt of electricity per hour.

So, if electricity costs $0.30 per kilowatt hour, then

it would cost ⇒ 0.2 × $0.30 = $0.06 .

Therefore , it will take $0.06 to run the player for an hour.

The instruction booklet for a CD player says that player uses 0.2 kilowatt of electricity per hour. If electricity costs $0.30 per kilowatt hour, how much does it cost to run the player for an hour ?

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Answer:

101.50

Step-by-step explanation:

Answer:

$101.50

Step-by-step explanation:

7% of 1450 = 0.07 × 1450 = 101.5

Answer:5.7 more miles that Tom has to drive

Step-by-step explanation: you add a extra zero to the 13 which would look like 13.0 and then put the 7.3 under 13.0 and it would look like this

13.0

 7.3 and you subtract like normal

Answer:

201.53\(m^{2}\)

Step-by-step explanation:

That is a hexagonal pyramid, which means it consists of one hexagon and six triangles.

Let's first find the hexagonal base.

The formula to find the area of a hexagon is \(\frac{3\sqrt{3}}{2}a^{2}\), where a is the length of one side of the hexagon. In this question, a = 6m

Solve that to find that the area of the hexagon is 93.53m^2.

Now, on to the triangles. The area of one triangle is the base times the height, then halved. We know that the base of the triangle is 6m as it shares the base with a side of the hexagon, and the question states that the height is also 6m.

6 * 6 = 36

36 / 2 = 18

Hence, the area of one triangle is 18m^2

However, there are six triangles - not just one!

6 * 18 = 108

Adding everything up:

93.53 + 108 = 201.53

The answer is 201.53m^2

The indefinite integral of\(\int\limits^a_b {(x+5)}\sqrt{2-2} \, dx\)  is \((2/5)(2-x)^{5/2} - (14/3)(2-x)^{3/2} +C\) 

To find the indefinite integral of ∫(x + 5)√(2 – x) dx by making a change of variables, follow these steps:

1. Choose a substitution for one of the variables. Let's substitute u for (2-x):
  u = 2 - x

2. Differentiate both sides of the equation with respect to x to find du/dx:
  du/dx = -1

3. Rearrange the equation to isolate dx:
  dx = -du

4. Substitute the expressions for u and dx back into the integral:
  ∫(x + 5)√(2 – x) dx = ∫(2 - u + 5)√u (-du)
 

Simplify the expression:
  ∫(7 - u)√u (-du)

5. Now, evaluate the integral:
  -∫(7 - u)√u du

6. Distribute the -1 into the integrand and split the integral into two separate integrals:
  ∫(u√u - 7√u) du

7. Rewrite the integrals using exponents instead of radicals:
  ∫(u^(3/2) - 7u^(1/2)) du

8. Integrate each term separately:
  (2/5)u^(5/2) - (14/3)u^(3/2) + C

9. Substitute back the original variable, x, for u:
  (2/5)(2-x)^(5/2) - (14/3)(2-x)^(3/2) + C

Therefore, the indefinite integral of ∫(x + 5)√(2 – x) dx is  (2/5)(2-x)^(5/2) - (14/3)(2-x)^(3/2) + C.

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Answer:

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

Step-by-step explanation:

Dada la falta de información, asumimos que el préstamo fue realizado sin tasa de interés, de modo que la deuda solo sea el monto inicial menos las cuotas pagadas por quien recibe el préstamo, la cantidad de dinero que adeuda al banco es:

\(x = \$\,100000 - \$\,32950 - \$\,25825\)

\(x = \$ \,41225\)

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

The conditions for calculating a confidence interval for the proportion (p) of all Oregon whelks that will spontaneously drill into mussels are met.

To determine if the conditions for calculating a confidence interval for p are met, two criteria need to be considered: random sampling and large counts.

A. Random Sampling: The information provided does not specify if the whelk eggs were collected randomly. Therefore, this condition is not confirmed.

B. Large Counts: The condition of large counts is met if both np and n(1-p) are greater than or equal to 10, where n is the sample size and p is the proportion of interest. In this case, the sample size is 98, and the number of whelks that drilled into mussels is 9. Thus, np = 98 * (9/98) = 9, and n(1-p) = 98 * (89/98) = 89. Since both values are greater than or equal to 10, the condition of large counts is satisfied.

Based on the analysis, the condition of large counts is met, but the condition of random sampling is not confirmed. Therefore, the correct answer would be B. Fails Random and Large Counts.

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Answer:

x=9,1

Step-by-step explanation:

Take the root of both sides and solve.

x = 9 , 1

Answer:

X=9 or 1

Step-by-step explanation:

It's really complicated to explain, sorry!

(P.S, if that's you in your pfp, you are so freaking stunning, period. As you should)

Hope this helped, and please mark as brainliest :)

Given that there are 50 campers at day camp and 10 counselors.

The ratio of campers to counselors as a fraction is given by .

Using equivalent fractions we have .

Thus, the related rate and unit rate to the ratio of campers to counselors is given by .

The unit rate indicates that for every counselor, there are 5 campers.

Your welcome :3

Answer:

The answer is 3

Step-by-step explanation:

The unknown angle in the triangle is as follows:

m∠A = 52°

External angle theorem states that If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

Therefore,

m∠D = m∠A + m∠B

m∠D = 116°

m∠A =  (2x)°

m∠B = (x + 38)°

Hence,

116 = 2x + x + 38

116 = 3x + 38

3x = 116 - 38

3x = 78

divide both sides by 3

x = 78 / 3

x = 26

Therefore,

m∠A = 2(26)

m∠A = 52°

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Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Therefore, the probability that exactly 4 out of 20 randomly chosen college students are near-sighted is closest to 0.7988 or approximately 0.80.

To find the probability that exactly 4 out of 20 randomly chosen college students are near-sighted, we can use the binomial probability formula.

The formula for the probability of k successes in n trials, with a probability of success p in each trial, is given by:

\(P(X = k) = (n choose k) * p^k * (1 - p)^{(n - k)\)

In this case, n = 20, k = 4, and p = 0.28 (probability of a student being near-sighted).

Plugging in these values into the formula, we get:

\(P(X = 4) = (20 choose 4) * (0.28)^4 * (1 - 0.28)^{(20 - 4)\)

Calculating the values:

(20 choose 4) = 4845

\((0.28)^4\) ≈ 0.006859

\((1 - 0.28)^{(20 - 4)\) ≈ 0.19224

P(X = 4) ≈ 4845 * 0.006859 * 0.19224

≈ 0.7988

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Answer:

D. is the match of the equation

the ordered pairs for each rotation are: a. W'( -6, 3) b. W'( -3, -6) c. W'( -6, -3)

a. Rotation 90 degrees clockwise about the origin:

To rotate a point 90 degrees clockwise about the origin, we can swap the x and y coordinates and change the sign of the new x coordinate.

Given point W(3, 6), after rotating 90 degrees clockwise, we have:

W'(-6, 3)

b. Rotation 180 degrees clockwise about the origin:

To rotate a point 180 degrees clockwise about the origin, we change the sign of both the x and y coordinates.

Given point W(3, 6), after rotating 180 degrees clockwise, we have:

W'(-3, -6)

c. Rotation 270 degrees clockwise about the origin:

To rotate a point 270 degrees clockwise about the origin, we can swap the x and y coordinates and change the sign of the new y coordinate.

Given point W(3, 6), after rotating 270 degrees clockwise, we have:

W'(-6, -3)

So, the ordered pairs for each rotation are:

a. W'( -6, 3)

b. W'( -3, -6)

c. W'( -6, -3)

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heterozygous- "hetero" means different, since there is a big "R" and a little "r" it is two different r's

now I'm not completely sure but I think it's a genotype( genotype means represented by the letters of alleles)

True, it is important to exercise caution when making predictions outside of the experimental region.

When using a least squares regression line, we should not predict a value of y unless the given value of x is within the range of the data used to construct the regression model, which is known as the experimental region.

Extrapolating beyond this region may lead to unreliable predictions as the regression model may not hold true outside of the range of the data. Therefore, it is important to exercise caution when making predictions outside of the experimental region.

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Answer:

-18

Step-by-step explanation:

because you take 40 + -58 and you can make the positive and negative sign a negative so now it would be 40-58

if you reverse it to make it 58-40 you would get 18 and then reverse it back to negative because you reversed it once so now its -18

Answer:

congrats for the car!

Step-by-step explanation:

Answer:

Darius can buy 16 heads of cabbage

Step-by-step explanation:

28.80 divided by 1.80 is equal to 16.

The kind of discontinuous measurement procedure that is used is partial interval recording

Given that,

A client frequently shouts things out loud. You break up the session into shorter timed segments in order to get data on this. You record an event if the behavior happens at any time throughout the interval.

To find : which discontinuous measuring technique are you employing?

An interval recording technique is partial interval recording. An interval recording approach involves watching to see if a behaviour happens or not within predetermined intervals of time. After determining the duration of an observation session, the time is divided into shorter segments that are all of the same length.

So, partial interval recording is the type of discontinuous measuring technique that is applied.

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Answer:

x<1

Step-by-step explanation:

10-2x-6<15-4x-9 (distributive property)

4-2x<6-4x (simplified both sides)

-2x<2-4x (1st step to get x isolated)

2x<2 (2nd step to get x isolated)

x<1 (divide 2 from each side)

and that's how! :)

The question asks to determine the truth value of the statement regarding the graph of the linear function 2x + 3y = 6 passing through the point (3,0) with a slope of -2/3.

The statement is false. To make it true, we need to find the correct slope for the line passing through the point (3,0) on the graph of the linear function 2x + 3y = 6.

To find the slope, we can rewrite the equation in slope-intercept form, y = mx + b, where m represents the slope. Rearranging the given equation, we have 3y = -2x + 6, and dividing by 3 gives y = (-2/3)x + 2.

Comparing this equation with the slope-intercept form, we can see that the slope is -2/3. Therefore, the correct slope for the line passing through the point (3,0) on the graph of the linear function 2x + 3y = 6 is indeed -2/3. Hence, no change is necessary in this case, and the statement is already true.

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The largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) is 15

Divisor of a Number :  

A Divisor is any number that divides a given number completely or with a reminder. Where a factor, is a divisor that divides the number entirely and leaves no remainder.

Here we have,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  

And n is a positive even integer  

For n = 2 ⇒  (2 + 1)(2 + 3)(2 + 5)(2 + 7)(2 + 9) = (3× 5 × 7 × 9 × 11 )    

For n = 4 ⇒   (4 + 1)(4 + 3)(4 + 5)(4 + 7)(4 + 9) = (5× 7 × 9 × 11 × 13 )

and so on.

From the above calculations,

we can say that (n + 1); (n + 3); (n + 5); (n + 7); (n + 9) are 5 consecutive odd numbers  

In every 5 consecutive odd positive integers,

One of them is always divisible by 3

And one of them is always divisible by 5.

Therefore,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

As we know product of 3 and 5 = 15

then (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15

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The complete question is

What is the largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) for all positive even integers n?  

(A) 3         (B)  5        (C)  11          (D) 15             (E)  165