2 thousands 7 tens ÷10

Answer:

0.8235 is a decimal and 82.35/100 or 82.35% is the percentage for 14/17.

Step-by-step explanation:

hope it helps

The decimal rounded to the nearest tenth is,  8.235×10⁻¹

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

The given term is 14/17,

Simplify this term, by dividing,

14/17 = 0.823529411

The decimal rounded to the nearest tenth is,  8.235×10⁻¹.

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Answer:

Step-by-step explanation:

-3(1+p)=8p-36

-3-3p=8p-36

+36 +3p | +3p +36

Simplifies to

33=11p

divide both side by 11

3=p thus p=3

a. The number of red roses left t hours after the store opens \(R(t) = 400/2^{t/2}\)    

b. The number of boxes of chocolate left t hours C(t) = 200 - 0.15t

c. One possible solution is t ≈ 7.546 hours after the store opens.

d. there are 194 boxes of chocolates left.

e. you need to arrive at the store no later than 7.504 hours after it opens.

a. The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.:

\(R(t) = 400/2^{t/2}\)

b. Let C(t) be the quantity of boxes of chocolate left t hours after the store opens. At first, there are 200 boxes, of which 15% are purchased every hour. We can therefore write:

C(t) = 200 - 0.15t

c. We must solve the equation R(t) = C(t) in order to determine the time at which the number of boxes of chocolates and the number of roses are equal. We obtain: by substituting the formulas we discovered in parts a and b:

\(400/2^{t/2} = 200 - 0.15t\)

Simplifying this equation, we get:

\(2^{t/2 + 1} + 0.15t - 400 = 0\)

We can solve this equation numerically, using a calculator or a computer program. One possible solution is t ≈ 7.546 hours after the store opens.

d. At 12:30 in the early evening, which is 3.5 hours after the store opens, we can utilize the recipe we tracked down to some extent b to work out the quantity of boxes of chocolates left:

C(3.5) = 200 - 0.15(3.5) = 194.25

We ought to adjust this solution to appear to be legit with regards to the issue. Since we cannot have a fraction of a box, we can round to the nearest integer and state that there are 194 chocolate boxes remaining.

e. To buy 36 red roses, we need to solve the equation R(t) = 36. Substituting the formula we found in part a, we get:

\(400/2^{t/2}= 36\)

Simplifying this equation, we get:

2^(t/2) ≈ 11.111

Taking the logarithm of both sides, we get:

t/2 ≈ log2(11.111)

t ≈ 2 log2(11.111)

Using a calculator, we get:

t ≈ 7.504 hours after the store opens.

Therefore, you must arrive at the store no later than 7.504 hours after it opens in order to purchase 36 red roses.

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Fern can plan her fruit bunch of flowers procedure and make sure she utilizes the appropriate amount of each piece of fruit in each bouquet by understanding the ratio of basic fruit to chocolate-dipped fruit.

She used a pencil to draw a circular on such a piece of paper. He handed me a cake piece in exchange for an orange. The broken cup's fragments were put back together with adhesive. She wears some beautiful jewelry.

That's an intriguing piece of information regarding Fern's Fruit Bouquets! We can state that ratio of plain fruits to caramel fruit is 3:2 if Fern utilizes 3 pieces of basic fruit for each and every 2 pieces of cocoa fruit. Fern will therefore utilize 2 pieces of chocolate-covered fruit for each and every 3 pieces of regular fruit.

This ratio can be expressed as a fraction as well. Say Fern consumes x pieces of unadorned fruit. She will then use (2/3)x pieces of fruit that have been covered in chocolate. This is due to the fact that (2/3) represents a ratio of 2 pieces of chocolate-covered fruit to every 3 pieces of unadorned fruit.

Fern will use (2/3)*6 = 4 pieces of chocolate-covered fruit if she consumes, for instance, 6 pieces of plain fruit.

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The original price of the game card was approximately $46.58.

When the game can be effectively described by a numerical "characteristic function," such as v(S), which expresses how much any coalition S of players may win with certainty, regardless of the behaviour of the other players, then we can most readily determine the value of the game.

Let x represent the game card's initial cost. So 1 - 0.27 = 0.73, the price would be 0.73x after a 27% drop.

We are aware that 34.00 = 0.73x. We can divide both sides by 0.73 to find x:

x = 34.00 ÷ 0.73

x ≈ 46.58

Thus, the game card's initial cost was only about $46.58.

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Answer:

B, No solution

Step-by-step explanation:

If two lines are graphed, the point they intersect is the solution. However, if the slope is the same, they will never intersect

In the first and second equation, the slopes are both 3 so they will never intersect.

The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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Answer:

3x (x - 7 + 2x^2)

Step-by-step explanation:

find the common factor (3x)

divide everything by that

and then make it a multiplication

Let us first arrange the expression in ascending order.

Now, take 3x common from each term.

Answer:

3x (2x^3 + x - 7)

Hope you could understand.

If you have any query feel free to ask.

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

67.5°, 107.5°

Step-by-step explanation:

For supplementary angles, their sum equals 180°.

Let x be the first angle and y be the second angle, then

x + y = 180°.

It is given that x = y + 45°.

So x + y = 180°

substituting x into the equation, we have

y + 45° + y = 180°

simplifying, we have

2y + 45° = 180°

collecting like terms, we have

2y = 180° - 45°

2y = 135°

dividing through by 2, we have

y = 135°/2

y = 67.5°

Since y = 67.5°

then x = y + 45°

x = 67.5° + 45°

x = 107.5°

Answer:

A. -7

Step-by-step explanation:

g(x) = -4x+5    

We know that g(x)= (3) so just substitute 3 for x.

g(3)= -4(3)+5

g(3)= -12+5

g(3)=-7 answer.

Answer:

The answer is 0 lol.

Solution

For this case we can do the following plot:

We can find the distance using the Pythagoras theorem and we got:

Then the final answer for this case is:

Distance 1300 km

Answer:

y = -x + 7

Step-by-step explanation:

let's use the first numbers as an example.

x=1 and y=6

now to get this we need to find the difference between the two numbers and we can do this by simply doing - 1 + 7 = 5

therefore making the answer y = -x + 7

Confidence interval for the population mean time σ for computer repairs is [98.05 , 89.850].

What is confidence interval?

A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.

Main body:

According to question:

N = 110

X bar = 93.9 minutes

σ = 16.9 minutes

value for 99% confidence interval = 2.576

C.I. = x bar ± z*s/√n

C.I. = 93.9 ± 2.576 *16.9 /√110

C.I. = 93.9 ± 4.150

C.I. = [98.05 , 89.850]

Hence , confidence interval for the population mean time σ for computer repairs is [98.05 , 89.850].

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I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!

Answer:

Step-by-step explanation:

Volume of a cylinder formula = πr^2h

r (radius) = 5/2 = 2.5

h (height) = 3

Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units

Answer:

It must be C.

Step-by-step explanation:

x² - 9 = 16

=> 16 + 9 = x²

=> 25 = x²

=> x = 5

Referring to the options, C is the only one that is accurate to me. Hoped this helped.

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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There is sufficient evidence to suggest that the mean board feet per tree has decreased since moving to the new location of timber.

According to the information,

Set up the following hypothesis test:

Null hypothesis: The mean board feet per tree is still 93.

Alternative hypothesis: The mean board feet per tree is less than 93.

Here,

We can use a one-sample t-test to test this hypothesis.

The test statistic can be calculated as:

t = (sample mean - hypothesized mean)/(sample standard deviation/square root of sample size)

⇒ t = (89 - 93)/(2/sqrt(25))

⇒ t = -5.00

The degrees of freedom for this test are 24.

Using a t-distribution table,

we can find the critical t-value for a one-tailed test with 24 degrees of freedom and a 10% level of significance.

The critical t-value is -1.317.

Since our calculated t-value (-5.00) is less than the critical t-value (-1.317), we can reject the null hypothesis in favor of the alternative hypothesis.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Let percentage be x%

According to the question

200+x%of 200=£210.99

X%of 200=£210.99-200

X/100×200=10.99

X=10.99/2=5.495% is required percentage.

Step-by-step explanation:

The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

In a geometric sequence,

The third term is 100 and the eighth term is 3.125.

Now,

We know that;

The nth term of geometric sequence is,

⇒ \(T_{n} = a r^{n - 1}\)

Hence, The third term is;

⇒ \(T_{3} = a r^{3 - 1} = 100\)

⇒ \(a r^{2} = 100\)   ..(i)

And, The eighth term is,

⇒ \(T_{8} = a r^{8 - 1} = 3.125\)

⇒ \(a r^{7} = 3.125\)   ..(ii)

Divide equation (ii) by (i), we get;

⇒ ar⁷ / ar² = 3.125/100

⇒ r⁷ / r² = 3125 / 100000

⇒ r⁷⁻² = 3125 / 100000

⇒ r⁵ = 3125 / 100000

⇒ r = 5/10

Thus, The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

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The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

The Peso is used in Mexico

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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Answer:

The volume is 227.5

Step-by-step explanation:

The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5

The roots or zeros of a polynomial are the points it crosses the x-axis.

The roots of the polynomial in order from least to greatest are -5, 0 and 5

From the graph (see attachment), we have the following highlights

The points at which the graph crosses the x-axis are the roots of the graph.

So, the roots are: -5, 5 and 5

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The rewritten fractions are 15/20 and 14/20. The correct answer is (a) 15/20 and 14/20.

To rewrite the fractions 3/4 and 7/10 with a least common denominator, follow these steps:
1. Find the least common multiple (LCM) of the denominators 4 and 10.

The LCM is the smallest number that both denominators can divide into.

In this case, the LCM is 20.
2. Rewrite each fraction with the new denominator (20) by multiplying the numerator and the denominator of each fraction by the necessary factor to reach the LCM.
For 3/4:
(3 * 5)/(4 * 5) = 15/20
For 7/10:
(7 * 2)/(10 * 2) = 14/20.

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