In Suri's coin purse, she has 6 dimes and 4 quarters. Martha has 5 dimes and 3 quarters. Suri thinks that the ratio of dimes to quarters in both purses is the same because they each have 2 more quarters than dimes. Is the same ratio of dimes to quarters maintained?

The measure of the amount of space occupied by a solid is called its volume.

Answer:

Step-by-step explanation:

the circumference of a circle = Diameter × π

in other words ,the ratio of the circumference of a circle to its diameter is π

and we know that π = 3.14159265358979...

if we round it to the hundredth we get 3.14

Answer:

a. Three students preferred swimming over running and walking.

b. Fourteen students chose running or walking.

c. Alex and Jose preferred swimming and walking, but not running.

1. Yes, this is a binomial distribution.

2. n = 200, p = 0.25.

3. The mean of X is 50. This means that we can expect to get 50 cherry flavored Starburst candies on average.

4. The standard deviation of X is 7.07. This means that the number of cherry flavored candies is likely to be close to the mean of 50, but it could vary by up to 7.07 in either direction.

5. The probability of getting exactly 60 cherry flavored Starburst is 0.108.

6. The probability of getting at most 60 cherry flavored Starburst is 0.619.

A bag of Starburst candies can be considered an SRS of the whole population of Starburst candies since there are 4 flavors. The probability that each Starburst is cherry flavor is 0.25. Since we are buying one bag of Starburst, the number of cherry flavored candies in the bag can be represented by a binomial distribution with n = 200 and p = 0.25. This means that the mean of X (the number of cherry flavored candies) is 50. The standard deviation of X is 7.07, which means that the number of cherry flavored candies is likely to be close to the mean of 50, but could vary by up to 7.07 in either direction. The probability of getting exactly 60 cherry flavored Starburst is 0.108, and the probability of getting at most 60 cherry flavored Starburst is 0.619.

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Answer:

y=0

Step-by-step explanation:

So you would do -4(6y-3) and divide that by -4

then you would do 12 and divide that by -4

or

You could do

-6y-3 which equals -3

then

add three to both sides like this -6y-3+3=-3+3

then simplify it to -6y=0

then divide -6y over -6 and 0 over -6

then it will simplify to 0

1)

The axis of symmetry is x = -6.

2)

Vertex is (-6, 26).

3)

f(x) has a maximum value.

4)

f(x) is concave down.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

f(x) = -x² - 12x - 10

This is in the form of ax² + bx + c.

a = -1, b = -12, c = -10

The axis of symmetry is x = -b/2a

x = 12/(-2)

x = -6

Now,

f(x) = -x² - 12x - 10

f(x) = -(x² + 12x + 10)

f(x) = - { (x² + 12x + 36) - 36 + 10}

f(x) = -(x + 6)² + 26

This is in the form of f(x) = a (x - h)² + k

a = -1, h = -6, k = 26

Vertex = (h, k) = (-6, 26)

Now,

f(x) = -x² - 12x - 10

f'(x) = -2x - 12

f''(x) = -2

It is a negative value.

This means f(x) has a maximum value.

Now,

From the graph, we see that f(x) is concave down.

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Answer:

2/3

Step-by-step explanation:

Answer:

B, D represent pairs of vertical angles.

___

Other pairs may be congruent, but they are not vertical angles. The lines that look parallel must be assumed to be NOT parallel, because they are not marked in the diagram as being parallel. Thus ∠8 ≠ ∠12, for example.

- sqdancefan

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

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Answer:

في الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالون

Step-by-step explanation:

في الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل

Answer:

ypu are going to have to give us a problem to solve or a question.

Step-by-step explanation:

this is a statement

Answer:

A.)

0.852 ; 0.999 ; 0.013

B.)

0.018 ; 0.593 ; 0.050

Step-by-step explanation:

Given :

Proportion of marketing personnel that are extrovert, p = 0.75

1 - p = 1 - 0.75 = 0.25

Proportion of computer programmers that are introverts, p = 0.55

1 - p = 1 - 0.55 = 0.45

According to binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - r)

A.) n = 15

Probability that 10 or more are extrovert

P(x ≥ 10) = p(x = 10) + p(x = 11) +... p(x = 15)

To save computation time, we can use a binomial probability calculator ;

P(x ≥ 10) = 0.8516 = 0.852

Probability that 5 or more are extrovert :

P(x ≥ 5) = p(x = 5) + p(x = 6) +... p(x = 15)

To save computation time, we can use a binomial probability calculator ;

P(x ≥ 5) = 0.9999 = 0.999

Probability that all are extrovert :

P(x = 15) = 15C15 * 0.75^15 * 0.25^0

P(x = 15) = 1 * 0.75^15 * 0.25^0

P(x = 15) = 0.01336 = 0.013

B.

What is the probability that all are introverts?

n = 5

None are introvert :

P(x = 0) = 5C0 * 0.55^0 * 0.45^5

P(x = 0) = 1 * 1 * 0.0184528125

P(x = 0) = 0.01845 = 0.018

P(x ≥ 3) = p(3) + p(4) + p(5)

To save computation time, we can use a binomial probability calculator ;

P(x ≥ 3) = 0.5931 = 0.593

Probability that all are introvert

P(x = 5) = 5C5 * 0.55^5 * 0.45^0

P(x = 5) = 1 * 0.55^5 * 0.45^0

P(x = 5) = 0.0503 = 0.050

Answer:

Step-by-step explanation:

its c

Given:

The data set is 17, 21, 26, 28, 31, 33, 41, 46, 52.

To find:

The five-number summary for the given data set.

Solution:

We have, the values

17, 21, 26, 28, 31, 33, 41, 46, 52

Divide the data values into 2 equal parts.

(17, 21, 26, 28), 31, (33, 41, 46, 52)

Divide each parenthesis into 2 equal parts.

(17, 21), (26, 28), 31, (33, 41), (46, 52)

Now,

Minimum value = 17

The first quartile is:

\(Q_1=\dfrac{21+26}{2}\)

\(Q_1=\dfrac{47}{2}\)

\(Q_1=23.5\)

Median = 31

The third quartile is:

\(Q_3=\dfrac{41+46}{2}\)

\(Q_3=\dfrac{87}{2}\)

\(Q_3=43.5\)

Maximum value = 52

Therefore, the five-number summary for the given data set is 17, 23.5, 31, 43.5, 52.

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

Answer:

21/3 = 7

7*8=56

Lola is 56

PLz mark branliest

Answer:

Step-by-step explanation: C is 100 X is 10 IV is 4 since the smaller number is in the front so you subtract instead of add

C=100 3X=30 IV=4

100+30+4=134

CXXXIV=134

Answer: 8000

Step-by-step explanation:

The 8 in the number 348,000 is in the thousands place.

So it represents the value of 8,000 .

Answer:

y=1x+1

Step-by-step explanation:

plz give me a brainliest

Answer:

1

Step-by-step explanation:

m= (y2 - y1)/(x2 - x1)

Take two points

(-1, 0) (0, 1)

x1  y1  x2 y2

formula

1-0 / 0 - -1

= 1/1

Gradient = 1

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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Answer:

Chips= $20    Pretzel=$15

Step-by-step explanation:

Sara bought 2 Chips + 3 Pretzels = $85

(Extra) 1 Chips + 2 Pretzels = $50

Pretzels are twice as much as chips so above ^^ Can be expressed

as Pretzel (15) + Pretzel (15) + Chips(20) = $50

Now lets go back to the first line Putting in the new prices

Chips(20) + Chips(20) + Pretzel(15) + Pretzel(15) = Pretzel(15) = $85

The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

75 minutes

Step-by-step explanation:

find how long she take to run 1 mile,

30/4=7.5 minutes

then,

find how many minutes she takes to run 10 miles,

10 * 7.5 = 75 minutes

The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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