What is the prime factorization of 45?

Answer:

Step-by-step explanation:

not sure if we're supposed to be dividing, adding or what

The probability of obtaining five tails in a row assuming the coin is​ fair is 1/32.

A person will have to do 5 coin tosses which means,

No. of total observations  = 25

Required outcome → 5 Heads { T , T , T , T , T }

This outcome  can occur only once so required outcome will be 1

Thus, required outcome  =1

Probability (5 Tails) = 1 / 2⁵ = 1 / 32

Hence , the probability of obtaining five tails in a row assuming the coin is​ fair is 1/32.

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Answer:

245

Step-by-step explanation:

4242/12=3.5

70×3.5=245

The required match of exponents is below the description with the correct solving steps in the solution part.

The product rule is an exponent rule that states that when you multiply similar bases, the add exponents.

For example, (a²)·(a³) = a²⁺³ = a⁵

1. How many times larger is 2 x 10⁻² then 3 x 10⁻⁶

Subtract by getting the same exponent to be like terms.

2. What is the difference between 2 x 10⁻² and 3 x 10⁻⁶?

Subtract coefficients and then add the exponents.

3. If you are 400 times 2 x 10⁻² away from the sun, how far are you?

Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents.

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Answer:

Oasis idiot and a good time in the day before

Answer:

the dollhouse is 3 1/3 feet tall

Step-by-step explanation:

40/12 is 3 1/3

Sorry if i get it wrong hope it helps

a. The function n(p) that represents the cost of the paints with the 15% discount is n(p) = 6.99p - 0.15(6.99p).

b. The 15% discount reduces the cost of the paints from 34.95 to 29.70.

Discount is term used for reduction in the original price of a good or service. It is a common practice used by retailers and businesses to attract customers.

a. The function n(p) that represents the cost of the paints with the 15% discount is given by:

n(p) = 6.99p - 0.15(6.99p)

= 5.94p

b. The cost of purchasing 5 paints before the discount is 6.99 x 5 = 34.95.

The cost of purchasing 5 paints after the discount is 5.94 x 5 = 29.70.

Therefore, the 15% discount reduces the cost of the paints from 34.95 to 29.70.

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Answer:

\(x=\dfrac{4}{5}\)

Step-by-step explanation:

The given equation is :

\(x^2=\dfrac{16}{25}\)

We need to find the value of x.

When the exponent 2 removes from LHS, it will shift to RHS as square root as follows :

\(x=\sqrt{\dfrac{16}{25}}\)

We know that, 4×4= 16 and 5×5 = 25

So,

\(x=\sqrt{\dfrac{4\times 4}{5\times 5}}\\\\x=\dfrac{4}{5}\)

So, the solution of the given equation is 4/5.

Answer:

C

Step-by-step explanation:

the general equation is y=mx+b where m is the slope

if the slope of the line are the same the lines are parallel

y=2/3x+5 has the slope 2/3

C. y=2/3x-7 has the same slope 2/3

Answer:

I hope this helps.

Step-by-step explanation:

The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer:

You spent $14.5

Step-by-step explanation:

You just add tgem ad yeah

Answer:

Step-by-step explanation:

barrier = parameter, so we add all the sides:

8+3+3+5+5 = 24

24*1.75 = $42.

THEN, we need the area to solve for the mulch.

I would split it up into two parts so the rectangle and then the triangle.

First, 8*3 is 24

now we divide this by four because one bag covers four square feet

so, 6 bags (24/4=6) which is $36 (6*$6).

_______________

Now, the triangle, which a = (hb*b)/2

12 divided by four again so 3

3 * 6 = $18.

Now we add ALL costs up to get

42+36+18 = $96 total for the entire project.

Answer:

5/7 - 2/6 = 16/42

Choice 4^th

Step-by-step explanation:

Given equation:

5/7 - []/6 = 16/42

To Find:

The missing numerator

Solution:

Let us assume that the missing numerator is x.

Then the equation will be:

\( = > \cfrac{5}{7} - \cfrac{x}{6} = \cfrac{16}{42} \)

Solve the equation to get our solution.

\( = > \cfrac{5}{7} - \cfrac{1x}{6} = \cfrac{16}{42} \)

You'll need to re-write this equation as:

\( = > \cfrac{ - 1x}{6} + \cfrac{5}{7} = \cfrac{8}{21} \)

Subtract 5/7 from both sides:

\( = > \cfrac{ - 1x}{6} + \cfrac{5}{7} - \cfrac{5}{7} = \cfrac{8}{21} - \cfrac{5}{7} \)

\( = > \cfrac{ - 1}{6} x = \cfrac{ - 1}{3} \)

Multiply both sides by 6/-1:

\( = > \cfrac{ \cancel{- 1}}{ \cancel6} x \times \cfrac{ \cancel6}{ \cancel{- 1}} = \cfrac{ \cancel{- 1}}{ \cancel3} \times \cfrac{ \cancel6 {}^{2} }{ \cancel{ - 1} }\)

\( = > \boxed{ x = 2}\)

Hence,

5/7 - 2/6 = 16/42

Choice 4^th

\( \rule{225pt}{2pt}\)

a) The signal a(t) = -u(-t-2) can be represented as a step function that is activated at t = -2 and has a value of -1 for t < -2 and 0 for t > -2.

b) The signal b(t) = (t+1)[u(t+3)-u(t-3)] can be represented as a ramp function that starts at t = -1 and increases linearly until t = 3, then remains constant for t > 3.

The value of the ramp is 0 for t < -1, (t+1) for -1 ≤ t < 3, and 4 for t ≥ 3.c) The signal c(t) = a(t) + b(t) is the sum of signals a(t) and b(t). It can be represented as the combination of the step function and the ramp function described above.

d) The signal d(n) = u(-n+2) can be represented as a discrete unit step function that is activated at n = 2 and has a value of 1 for n ≤ 2 and 0 for n > 2. It is a discrete version of the step function where time is replaced by the discrete variable n.

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Answer:

949.2

Step-by-step explanation:

To solve this equation, you must use P.E.M.D.A.S...

First, solve 7x9 and 5x2...

7x9= 63  5x2 = 10

So...

1000+50-36+63+8÷10+1

Next, solve 8÷10 and get 0.8

So...

1000+50-36+63+0.8+1

Then, solve 1000 + 50, and 36+63, and that result with 0.8 and that with 1.

So...

1050-100.8

The Solve!

949.2

Hope this helps!

-kiniwih426

Answer:

Initially 4.2 cubic feet,

Blown to 5.6 cubic feet,

% Change =  (5.6 - 4.2) / 4.2      * 100%

                  = 1.4/4.2 *  100%

                  = 1/3 * 100%

                  = 100/3  %

                   = 33    1/3  %

I hope this helps.

Step-by-step explanation:

Answer:

graph B because you can tell that one has a line not even so it's correct

Answer:

Graph A

Step-by-step explanation:

The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin.

Graph A is the only graph that goes through the origin (the point where the x and y axis intersect).

To write 80% as a decimal, you divide the percentage by 100.

80% = 80/100 = 0.8

Therefore, 80% is equal to 0.8 as a decimal.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

A normal quantile-quantile plot (Q-Q plot) is a graphical tool used to compare two probability distributions by plotting their quantiles against each other.

The Q-Q plot consists of a scatter plot of the quantiles of the dataset on one axis, typically the y-axis, and the corresponding quantiles of a theoretical normal distribution on the other axis, typically the x-axis.

The quantiles are the values that divide a dataset into equally sized intervals. For example, the 25th percentile is the value below which 25% of the dataset falls, and the 75th percentile is the value below which 75% of the dataset falls.

In a Q-Q plot, if the dataset perfectly follows a normal distribution, the points on the plot will form a straight line. If the dataset deviates from a normal distribution, the points on the plot will deviate from a straight line, indicating that the dataset's quantiles do not match those of a normal distribution.

Interpreting a Q-Q plot involves comparing the scatter plot of the dataset's quantiles to the reference line, which represents a normal distribution. If the points on the plot closely follow the reference line, it suggests that the dataset is approximately normally distributed.

If the points deviate substantially from the reference line, it may indicate that the dataset does not follow a normal distribution and may have a different distributional shape.

It is used to check whether two sets of data come from populations with a normal distribution.

It is also used to identify outliers in a dataset. Q-Q plots display a straight line, indicating a strong correlation between the two datasets.

The plot can also reveal skewness, which can be addressed through data transformation.

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Cooper bought 2 apples and 8 bananas.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x = number of apples

y = number of bananas

If he bought a total of 10 apples and bananas altogether, then

x + y = 10

Rearranging, x = 10 - y     (equation 1)

If each apple costs $1 and each banana costs $0.50, then the total cost of the apples and bananas he bought is $1x and $0.50y, respectively.

If he bought $6 worth of apples and bananas, then the total cost of the fruits is equal to $6.

$1x + $0.50y = $6

x + 0.5y = 6

Substitute equation 1 and solve for y.

x + 0.5y = 6

10 - y + 0.5y = 6

4 = 0.5y

y = 8

number of bananas = 8

Substitute the value of y to equation 1 and solve for x.

x = 10 - y

x = 10 - 8

x = 2

number of apples = 2

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Answer:

8.5

Step-by-step explanation:

c = 8.5

hope this helps

Answer:8.5

Step-by-step explanation:

Add 7 and 1.5

It will take the plumber 1 hour and 1/8 hour to complete the job.

To find out how long it will take the plumber to complete the entire job, we can use the formula:

time = (job size) / (rate)

where job size is the fraction of the job that is remaining (1/8 in this case) and rate is the fraction of the job the plumber can complete in a given amount of time (2/9 in this case).

So the time to complete the job is:

time = (1/8) / (2/9)

= (9/16) / (2/9)

= (9/16) * (9/2)

= 9/8

= 1 and 1/8 hour

So it will take the plumber 1 hour and 1/8 hour to complete the job.

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Complete question :

A Plumber Completes ( 1)/(8) Of A Job In( 2)/(9) Hours. At This Rate, How Long Does It Take The Plumber Complete The Job?

Answer:

z = 24

Step-by-step explanation:

35/30 = 7/6

28/7 = 4

6 x 4 = 24

28/24 = 7/6

Answer:

x = 24

Step-by-step explanation:

All you have to do is cross multiply like this..

30 x 28 = 35 x X

=

x = 30 x 28/35

30 x 28 = 840 / 35 =

24

So x is equal to 24

Hope this helps :)

Q6: Approximately 68.3% of the cherry tomatoes sold by Berkeley Bowl fall within the specified diameter limits of 20 mm to 32 mm.

Q7: To achieve half of the Six Sigma Quality, the standard deviation of the process should be approximately 0.22 mm for Berkeley Bowl's cherry tomatoes.

In Q6, we can use the concept of the normal distribution to determine the percentage of tomatoes within the specification limits. Since the average diameter is 26 mm and the standard deviation is 3 mm, we can assume a normal distribution and calculate the percentage of tomatoes within one standard deviation of the mean. This corresponds to approximately 68.3% of the tomatoes falling within the specified limits.

In Q7, achieving Six Sigma Quality means that the process has a very low defect rate. In this case, half of the Six Sigma Quality means reducing the variability in diameter to half the acceptable range.

The acceptable range is 32 mm - 20 mm = 12 mm. To achieve half the range, the standard deviation should be approximately half of 12 mm, which is 6 mm. Since the standard deviation is given as 3 mm, the process would need to be improved to reduce the standard deviation to approximately 0.22 mm for it to meet half of the Six Sigma Quality.

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Answer: A. she will spend 273$

B. she will spend 25.38 $

Step-by-step explanation:

A. Multiply 12 x 22.75 to get the amount she spent that year

B. Divide 330/13 to get the amout she spent per grandchild, Includeing her new baby granddaughter.

PLEASE BRAINLIST THIS :)

Answer:

7

Step-by-step explanation:

Changing LHS as

Comparing LHS and RHS

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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The confidence interval for the given population is [7.68, 14.77], under the condition that standard deviation  of a random sample of 25 men who have a mean weight of 170.4 pounds

Constructing a 95% confidence interval for the given population
The standard deviation σ of a random sample of 25 men who have a mean weight of 170.4 pounds with a standard deviation of 10.3 pounds,
Then,
Confidence interval = [√ (n-1)s² /\(X^{2a/2}\), √ (n-1)s² /\(X^{21-a/2}\)]

here:
n= sample size
s²= sample variance
\(X^{2a/2}\) = chi-square value with α/2 degrees of freedom
\(X^{21-a/2}\) = chi-square value with 1-α/2 degrees of freedom

Now for a 95% confidence interval,
α = 0.05
n = 24 degrees of freedom.

Applying a chi-square distribution table, we can find that \(X^{20.025}\) = 38.58 and \(X^{20.975}\) = 11.07.

Staging  the values we have:

Confidence interval = [√ (24)(10.3)² /38.58, √ (24)(10.3)² /11.07]
= [7.68, 14.77]

Hence, we can say with 95% confidence that the population standard deviation σ lies between 7.68 and 14.77 pounds.

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The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

To find the arc length of a polar curve, we use the formula:

L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ

where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.

In this case, we have r(θ) = e^5θ, so:

dr(θ)/dθ = 5e^5θ

Plugging these into the arc length formula, we get:

L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ

Simplifying the integrand, we have:

L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ

L = ∫[0,2π] √(26e^10θ) dθ

L = √26 ∫[0,2π] e^5θ dθ

Using the formula for the integral of e^x, we get:

L = √26 [e^5θ / 5] |_0^(2π)

L = √26 [(e^10π - 1) / 5]

So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

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The 83rd percentile of car speeds over the bridge is 62.08 mph.

To find the 83rd percentile, we need to first find the value of the speed at which 83% of the cars are traveling at or below. We can do this by finding the z-score corresponding to the 83rd percentile using a standard normal distribution table. The formula for finding the z-score is:

z = (x - μ) / σ

where x is the value we are looking for (in this case, the speed at the 83rd percentile), μ is the mean speed (58 mph, which is the midpoint of the range between 52 and 64), and σ is the standard deviation (6 mph, which is half the range).

Using the z-score table, we can find that the z-score corresponding to the 83rd percentile is 0.94. So we can plug in the values we know into the formula and solve for x:

0.94 = (x - 58) / 6

x - 58 = 5.64

x = 63.64

Therefore, the speed at the 83rd percentile is 63.64 mph. Rounded to two decimal places, this is 62.08 mph.

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