Huma hubna and seema recieved a total of rs 2016 as monthly allowance from their mother such that seema gets 1/2 og what huma gets and hubna gets 1 2/3 times seemas share how much do the three sisters get individually

Answer:

A

Step-by-step explanation:

13 x 28.3495

Answer:

A

Step-by-step explanation:

1 ounce is 28.3495 grams and Kelly's recipe call for 13 ounces of chicken, so

13 x 28.3495 = 368.5435

Answer:

Step-by-step explanation:

For right triangles, we can use the Pythagorean theorem. This means that a2+b2 = c2. In this problem, a and b are the given side lengths of the triangle. This means that a=b=13. To solve this problem, we plug in 13 to the equation above and solve for c.  

132 + 132 = c2

169+169 = c2

338 = c2

square root(338) = c

c = 18.38

Answer:18.38

Step-by-step

13^2 +13^2=338

square root 338

=18.38

Answer:

y = -6x + 30

Step-by-step explanation:

The inicial value you have is $30, so this will be the value of y after 0 weeks, that is, x = 0

After one week, you spend $6, so you will have y = 30 - 6 = 24 when x = 1.

With these pair of values, we can find the linear equation:

y = ax + b

for x = 0, y = 30:

30 = a*0 + b

b = 30

for x = 1, y = 24:

24 = a*1 + 30

a = 24 - 30 = -6

So, our equation is:

y = -6x + 30

Answer:

Time taken to reach maximum height=0.875 seconds

Maximum height = 78.25 ft

Step-by-step explanation:

The function which models the height of the ball is given as:[tex]s(t)=-16t^2+28t+66[/tex]

The function s(t) reaches its maximum height at the axis of symmetry. For a quadratic equation of the form [tex]ax^2+bx+c=0[/tex], the axis of symmetry occurs at [tex]x=-\frac{b}{2a}[/tex].

In s(t), a=-16, b=28

[tex]t=-\frac{28}{2(-16)}=0.875 seconds[/tex]

The ball reaches its maximum height after 0.875 seconds

(b)Maximum Height

Given [tex]s(t)=-16t^2+28t+66[/tex]

At t=0.875

[tex]s(0.875)=-16(0.875)^2+28(0.875)+66=78.25 ft[/tex]

Maximum height = 78.25 ft

Answer:

time: 0.875 seconds

maximum height: 18.25 feet

Step-by-step explanation:

The function that gives the height of the ball in feet after t seconds is:

s(t) = −16t^2 + 28t + 6

The inicial velocity is 28 ft/sec, and the inicial position is 6 feet.

So, to find the time when the ball reaches the maximum heigth, we need to find the vertix of the equation −16t^2 + 28t + 6.

We can use the following formula to find it:

t_vertix = -b/2a

where a and b are coefficients of the quadratic equation (in our case, a = -16 and b = 28).

So, we have that:

t_vertix = -28/(-32) = 0.875 seconds

To calculate the maximum height we just need to use this time in the equation of position:

s(0.875) = −16*(0.875)^2 + 28*0.875 + 6 =  18.25 feet

Answer:

558.036 lb

Step-by-step explanation:

Let x is the amount of the sea water to collect 125 lb of sea salt

As given: 64 lb/ft³ has 0.0035 dissolved salt by weight

So the formula to find out the amount of the sea water is:

64 lb/ft³ * 0.0035 *x ft³  = 125 lb

<=> x = [tex]\frac{125}{64*0.035}[/tex] = 558.036 lb

Hope it will find you well.

Answer:

a) sample size ≥ 30

b) 0.0017

Step-by-step explanation:

a) The central limit theorem states that for population with mean μ and standard deviation σ and take sufficiently large random samples from the population. This will hold provided the sample size is sufficiently large (usually n > 30) for a normal population.

Therefore the sample size should be greater or equal to 30 i.e n ≥ 30.

b) Given that n = 45, μ = 11.4 minutes and σ = 3.2 minutes, the z score (z) is given by the equation:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

Substituting values to get:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }= \frac{10-11.4}{\frac{3.2}{\sqrt{45} } }=-2.93[/tex]

Using the z table:

P(x < 10) = P(z < -2.93) = 0.0017

the probability that a random sample of n=45 oil changes results in a sample mean time of less than 10 minutes is 0.0017

For part (a), a sample size larger than 30 would be sufficient for using the normal model. For part (b), we'd use the standard error and z-score to find the corresponding probability for the sample mean time being under 10 minutes with a sample size of 45.

The questions revolve around the normal distribution model, which is a concept in Statistics, and the sample size needed to use the normal model to make inferences about a population (in this case, the duration of oil changes). For part (a), we must note that the Central Limit Theorem allows us to assume the distribution of sample means will approximate a normal distribution if the sample size is large enough (mostly, n > 30 is sufficient).

Thus, for this particular scenario, a sample size greater than 30 would be adequate. For part (b), using the standard error (standard deviation / sqrt(n)) with n = 45, we can find the z score = (X - μ) / standard error, where X is 10. We consult a normal distribution table or use software to find the probability associated with this z-score, which would be the answer.

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The height of the pole is 20ft.

Step-by-step explanation:

Let the height of the pole be '(h+6)'

Distance between the pole and Sven = 48ft.

Height of Sven = 6 ft.

Distance between the bird and his eyes = 50 ft.

We can find the value of 'h' using pythogoras theorem,

h = √(2500-2304)

h = √(196)

h = 14 ft.

The height of the pole = h + 6

= 14 + 6

= 20ft.

The height of the pole is 20ft.

Answer:

[tex]500,500\text{ and }500\sqrt{2}[/tex] feet

Step-by-step explanation:

GIVEN: The boundary of a field is a right triangle with a straight stream along its hypotenuse and with fences along its other two sides.

TO FIND: Find the dimensions of the field with maximum area that can be enclosed with [tex]1000[/tex] feet of fencing.

SOLUTION:

Let the other two sides of triangle be [tex]x[/tex] and [tex]y[/tex]

such that,   [tex]x+y=1000 \implies x=1000-y[/tex]

Area of triangle [tex]A=\frac{1}{2}\times base\times height=\frac{1}{2}\times x\times y[/tex]

Area of triangle[tex]A=\frac{1}{2}\times(1000-y)\times y=\frac{(1000y-y^2)}{2}[/tex]

to maximize area, put [tex]\frac{d\ A}{d\ y}=0[/tex]

[tex]\implies 500-y=0[/tex]

[tex]\implies y=500\text{ feet}[/tex]

other side [tex]x=1000-y=500\text{ feet}[/tex]

[tex]\text{hypotenuse}^2=x^2+y^2[/tex]

                   [tex]=500^2+500^2\implies \text{hypotenuse}=500\sqrt{2}[/tex]

dimension of triangle are [tex]500,500\text{ and }500\sqrt{2}[/tex] feet

The problem is solved by using the optimization strategy in mathematics. The maximum area of the field is obtained when the triangular field is an isosceles right triangle with base 500 ft and the hypotenuse side 250 ft each.

This problem involves optimization in mathematics. In a right triangle with hypotenuse (h) and other two sides as base (b) and height (h), we know that the hypotenuse is the longest side. The Pythagorean theorem applies which states that h² = b² + h².

Given that the total length of the fences is 1000 ft, we know that b + h + h = 1000. We then solve for h and substitute it into the area formula, A = 1/2 bh. We get a quadratic function upon simplification, and we maximize the function to get the base and the height.

Using the strategy of setting the derivative equal to zero, the dimensions that maximize the area are found to be base b = 500 ft and the two equal sides h = 250 ft each which form the hypotenuse. Therefore, the field will have it's maximum area when it's a isosceles right triangle.

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Answer:

side c = 10.2

A = 52.6°

B = 37.4°

Step-by-step explanation:

c² = 8.1² + 6.2²

c² = 104.05

c = 10.20049018

Using cosine law:

8.1² = 10.2² + 6.2² - 2(10.2)(6.2)cos

cosA = 7687/11648

A = 52.57199409

A = 52.6°

B = 180 - 90 - 52.6 = 37.4°

Answer:

61 miles per hour

Step-by-step explanation:

because you need to divide 274.5 by 4.5 to get the average speed per hour.

Answer:

61 miles per hour

Step-by-step explanation:

To find the average speed, divide the miles by the hours

miles/hours

274.5/4.5

61

So, the average speed is 61 miles per hour

The feature of the graph that most closely corresponds to the number of gallons of gasoline necessary to fill an automobile gas tank is the y-axis. The feature of the graph that most closely corresponds to the mass of a textbook is the line or curve representing the fuel efficiency as a function of the car's speed. The feature of the graph that most closely corresponds to the time required to drive from San Francisco to Kansas City at an average speed of 53 mi/h is the distance traveled.

The feature of the graph that most closely corresponds to the number of gallons of gasoline necessary to fill an automobile gas tank would be the y-axis. The y-axis represents the fuel consumption or efficiency of the car, which is measured in kilometers per liter (km/1).

The feature of the graph that most closely corresponds to the number of cm in 2 m would be the x-axis. The x-axis represents the speed of the car in kilometers per hour (km/h). It shows the relationship between the car's speed and its fuel efficiency.

The feature of the graph that most closely corresponds to the mass of a textbook would be the line or curve representing the fuel efficiency as a function of the car's speed. This line or curve shows how the car's efficiency changes as its speed varies.

The feature of the graph that most closely corresponds to the time required to drive from San Francisco to Kansas City at an average speed of 53 mi/h would be the distance traveled. The distance traveled is an important factor in determining the car's fuel efficiency.

Answer:

85263

Step-by-step explanation:

In Penelope's account $ 85262.6 would be there after 14 years.

The compound Interest is the interest you earn on Interest .

The formula for calculating the amount when the interest is compounded continuously

P = P₀[tex]\rm e^{rt}[/tex]

Penelope invested $32,000 in an account

interest rate of 7% compounded continuously.

After 14 years the amount will be

P = 32000 * [tex]\rm e^{0.07*14}[/tex]

P = $ 85262.6

Therefore $ 85262.6 would be in the account after 14 years.

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Answer:

No

Step-by-step explanation:

The probability simply refers to the chance of an event occurring. What this means is that when a coin is tossed once, the chance that we can get a head is 50%. This is simply just referring to the likelihood of the event happening.

Now for the first toss, there is a likelihood of 50%, for the second toss too there will be a likelihood of 50%.

This is different from the fact that for every 2 throws there must be a head showing up

Answer:

48 feet

Step-by-step explanation:

Since 1 yard = 3 feet

Therefore, 48 yards = 3* 48 = 144 feet

[tex]P = 2(l + w) \\ 144 = 2(l + 24) \\ \frac{144}{2} = l + 24 \\ 72 = l + 24 \\ 72 - 24 = l \\ l = 48 \: feet[/tex]

Hence, length of the field is 48 feet.

Answer:

48 ft im pretty sure

Step-by-step explanation:

Answer:

Correct option:

Fail to reject H₀. There is enough evidence at the 5% level of significance to support the claim.

Step-by-step explanation:

The claim to be tested is:

Claim: μ ≠ 0.

The information provided is:

α = 0.05

σ = 2.62

Sample statistics: = -0.69

n = 60

As the population standard deviation is provided, it can be determined that a z-test for single is used to performed the test.

Decision rule:

If the p-value of the test is less than the significance level, α then the null hypothesis will be rejected and vice-versa.

Compute the p-value as follows:

[tex]p-value=2P(Z<-0.69)\\=2\times [1-P(Z<0.69)]\\=2\times [1-0.7549]\\=0.4902[/tex]

*Use a z-table for the probability.

The p-value = 0.4902 > α = 0.05.

The null hypothesis was failed to rejected at 5% level of significance.Thus, it can be concluded that there is enough evidence at the 5% level of significance to support the claim.

Answer:

$400

Step-by-step explanation:

Cash = $2200

$600 + ($100*20) = 2600

$2600 - $2200 = 400

Answer:

1 stack of 60

2 stacks of 30

3 stacks of 20

4 stacks of 15

5 stacks of 12

6 stacks of 10

60 stacks of 1

30 stacks of 2

20 stacks of 3

15 stacks of 4

12 stacks of 5

Prime Factorisation

[tex]60=2^{2}*3*5[/tex]

Step-by-step explanation:

To find the number of stacks you can make just divide the total by the size of the stacks. This also works in reverse.

To find the prime factorisation you just find the factors of the number by dividing it by the largest prime possible.

The monkey can arrange the 60 coconuts into different numbers of stacks, from 1 stack of 60 coconuts to 60 stacks of 1 coconut. The prime factorization of 60 is 2^2 x 3 x 5.

The monkey, who has collected 60 coconuts, can distribute them in various different ways. The distribution depends on the number of coconuts in each stack as well as the total number of stacks. Here are the various possibilities:

Now, for the prime factorization of 60. This involves breaking down 60 into its smallest prime factors, which are 2, 3, and 5. Thus, the prime factorization of 60 is: 22 x 3 x 5

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Answer: The value of k = 0.9031

Step-by-step explanation: The equation for calculating the number of hits has been given as y = 4060ekt, where y is the number of hits and t is the number of months the website has been operating.

The values for y and t has been determined already as given, (y = 11000 and t = 3) therefore we can substitute for the known values in order to calculate the value of the unknown, k.

y = 4060kt

11000 = 4060 x 3k

11000/(4060 x 3) = k

11000/12180 = k

0.9031198 = k

Rounded to four decimal places,

k = 0.9031

Step-by-step explanation:

A (the first one)

.............

The upside down U means intersection, which would be the area the two circles overlap.

X’ and y’ would be opposite, so the area not in x or y.

The area would be outside the circles

The answer would be picture b

Answer:

The price of chair in furniture house is $137.16

Step-by-step explanation:

We are given the following in the question:

Wholesale price of chair = $108

Marked percentage = 27%

We have to find the price of the chair in the furniture store.

Increased price =

[tex]=27\%\times 108\\\\=\dfrac{27}{100}\times 108\\\\=29.16\$[/tex]

Price of chair in furniture house =

= Wholesale price + Increased price

[tex]=108 + 29.16\\=137.16\$[/tex]

Thus, the price of chair in furniture house is $137.16

Answer:

20 checks

Step-by-step explanation:

Answer:

Step-by-step expla0000000000000000000000000nation:

Answer:

There will be 1134.6 infected people on April 25 if on March 22 there were 69 case.

Step-by-step explanation:

Given : Equation [tex]15.4x+72[/tex]

To find : Calculate how many infected people there will be on April 25 if on March 22 there were 69 case ?

Solution :

Equation [tex]y=15.4x+72[/tex]

Plug the x value in the equation,

[tex]y=15.4(69)+72[/tex]

[tex]y=1062.6+72[/tex]

[tex]y=1134.6[/tex]

Therefore, there will be 1134.6 infected people on April 25 if on March 22 there were 69 case.

Answer:

$45 more

(but honestly I think I would spend longer mowing their lawns to try and make some more profit)

Step-by-step explanation:

Mr. Smith requires 4 1/2 hours.

Mrs Jones requires 7 1/2 hours.

7 - 4 = 3

3 * 15 = $45

To find the difference in charges between Mrs. Jones and Mr. Smith for mowing lawns, calculate the total amount charged by Ryan for each lawn and subtract the amount charged for Mr. Smith from the amount charged for Mrs. Jones. The difference in charges is $22.50.

The question asks how much more Ryan would charge Mrs. Jones than Mr. Smith for mowing lawns.

To find the answer, we need to calculate the total amount charged by Ryan for each lawn and then subtract the amount charged for Mr. Smith from the amount charged for Mrs. Jones.

For Mr. Smith's lawn, the given information is that it takes 2 hours to mow. So, the total amount charged would be y = 15 * 2 = $30.

For Mrs. Jones' lawn, it takes 3.5 hours to mow. So, the total amount charged would be -

y = 15 * 3.5 = $52.50.

To find the difference in charges between Mrs. Jones and Mr. Smith, we subtract $30 from $52.50.

The difference is $22.50.

Answer:

7 boys.

Step-by-step explanation:

Given:

Total number of students in the school = 60

Total number of girls in the school = 33

Total number of students currently studying chemistry = 24

Total number of girls not currently studying chemistry = 16

Question asked:

How many boys are currently studying chemistry ?

Solution:

Total number of girls in the school = 33

Total number of girls not currently studying chemistry = 16

Total number of girls currently studying chemistry = Total number of girls in the school - Total number of girls not currently studying chemistry

Total number of girls currently studying chemistry =  33 - 16 = 17                                                  

Now:-

Total number of boys and girls currently studying chemistry = 24

Total number girls currently studying chemistry = 17

Total number of boys currently studying chemistry = Total number of boys and girls currently studying chemistry - Total number girls currently studying chemistry

Total number of boys currently studying chemistry = 24 - 17 = 7

Therefore, 7 boys are currently studying chemistry.

After two hours the two plumbers will charge the same amount

Set up your equations

Plumber 1:

y = 25x + 100

Plumber 2:

y = 50x + 50

Set the two equal to each other and solve

25x + 100 = 50x + 50

         -50              -50

25x + 50 = 50x

-25x           -25x

           50 = 25x

     50/25 = 25x/25  <- Divide both sides by 25

              x = 2

After two hours the two plumbers will charge the same amount

Answer: Y-intercept: When the car doesn’t move...

Relative max or min: The most efficient...

Increasing or decreasing interval: As the car accelerates...

Step-by-step explanation:

The parameters are matched and shown below..

The [y] - intercept of a graph is the point where the graph cuts the [y] axis.

We have a curve that models the fuel efficiency of a certain car as a function of the car's speed.

The [y] - intercept of the graph would be at y = 0. This point represents the situation when the car does not have any fuel to move.

The increasing or decreasing value represents as car accelerates towards 55 Km/hr, it gets more efficient.

The relative maximum value represents that the most efficient the car can get is 20 Km/litre.

Therefore, the parameters are matched and shown above.

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Answer:

(x,y)=(2,-3)

Step-by-step explanation:

6x+2y=6

7x+3y=5

Multiply both sides by 3

18x+6y=18

7x+3y=5

Multiply both sides by -2

18x+6y=18

-14x-6y=-10

Eliminate one variable by adding the equations

4x=8

x=2

Substitute the value of x to get y

6(2)+2y=6

y=-3

x=2

y=-3

The solution to the system of equations 6x+2y=6 and 7x+3y=5 is x = 2 and y = -3.

The solution to the system of equations 6x+2y=6 and 7x+3y=5 involves finding the values of x and y that satisfy both equations simultaneously.

First, let's multiply:

3(6x + 2y) = 3(6)
=> 18x + 6y = 18

2(7x + 3y) = 2(5)
=> 14x + 6y = 10

Next, we subtract the second equation from the first:

18x + 6y - (14x + 6y) = 18 - 10

4x = 8

x = 2

Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. For instance, substituting x into the first original equation:

6(2) + 2y = 6

12 + 2y = 6

2y = 6 - 12

2y = -6

y = -3

The solution to the system of equations is x = 2 and y = -3.

Answer:

f(x) = -15x² + 50x

Step-by-step explanation:

You're given the rocket start at ground level, so we can assume,

f(0) = 0

after 1 second the rocket is 35 feet up.

f(1) = 35

and after 2 second the rocket is 40 ft up.

f(2) = 40

Now you have 2 values to  plug in your formula to solve.

Plug in f(x) = ax² + bx + c and solve:

f(0) = a(0)² + b(0) + c = 0

f(1) = a(1)² + b(1) + c = 35

f(2) = a(2)² + b(2) + c = 40

a(0)² + b(0) + c = 0

a(1)² + b(1) + c = 35

a(2)² + b(2) + c = 40

0 + 0 + c = 0   ,   we got c=0, so substitute it

a + b + c = 35

4a + 2b + c = 40

Solve for a and b

c = 0

a + b + 0 = 35

4a + 2b + 0 = 40   , solve it using elimination

-2a - 2b + 0 = -70

4a + 2b + 0 = 40  

2a + 0 = -30

a = -15   , we got a, solve for b now

a + b + 0 = 35

(-15) + b + 0 = 35

b = 50

Now we got c=0, a=-15, and b=50, plug it back in your equation

f(x) = -15x² + 50x + 0

Answer:

54 = median

48 = 1st quartile

69 = 3rd quartile

21 = interquartile

Hope this helped!!  :)

Answer:

54 = median

48 = 1st quartile

69 = 3rd quartile

Step-by-step explanation: