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2 years ago

11

Caitlin had used more thank 2 pounds of clay to make a jar? Would the amount remaining have been more or less than your answer t

o Exercise 1?

1 answer:

11111nata11111 [884]2 years ago

4 0

You do not make any sense. can you restate your question please

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Alaskan Salmon are fished extensively to serve in restaurants. However, there are limits to how many and the size of fish which

TEA [102]

Answer:

The salmon size is less than equal to 10.28 inches represent bottom 25% of all salmon.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12.5 inches

Standard Deviation, σ = 3.3

We are given that the distribution of salmon size is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.25

$P( X < x) = P( z < \displaystyle\frac{x - 12.5}{3.3})=0.25$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 12.5}{3.3} = -0.674\\\\x = 10.2758\approx 10.28$

Thus, the salmon size is equal to or less than 10.28 inches, they are considered small and young and represent bottom 25% of all salmon.

4 0

2 years ago

Of 162 students honored at an academic awards banquet, 48 won awards for mathematics and 78 won awards for English. There are 14

ella [17]

Answer: 56/81

Step-by-step explanation:

in the attachment

3 0

2 years ago

The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete

Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x = -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0

1 year ago

A started some business with RS 26,000. After 3 month B joined him with Rs. 16,000. After some more time C joined them with Rs.

viktelen [127]

Answer:

$3$ $months$

Step-by-step explanation:

<h2><u>A:</u></h2>

We know that the total investment period is 1 year, then since A started, A invested Rs 26,000.

<u>Now, since A has been working for 12 months, this is where the effective investment comes in:</u>

A effective investment = Rs 312,000

<h2><u>B:</u></h2>

<u>Then after 3 months, B joined, so:</u>

12 months - 3 months = 9 months in work

B overall invested = Rs 16,000

<u>Since B only worked nine months, we use that to find effective investment:</u>

B effective investment = Rs 144,000

<h2>C:</h2>

<u>C joined x months since B joined in:</u>

<u>We don't know how much C worked for, but we know that C joined after B:</u>

C investment period = 9 months - x certain amount of months

We know that C's investment is Rs 25,000

<u>Find effective investment:</u>

<u>Rs 25,000 * ( 9 - x ) = Rs 225,000 - 25,000x then to find the total investment:</u>

<u></u>

<u>Add all effective investment:</u>

Rs 312,000 + Rs 144,000 + Rs 225,000 - 25,000x

= Rs 681000 - 25,000x

We now know that C's investment is 225,000 - 25,000x

<u>Find profit share:</u> 225,000 - 25,000x

==> Rs 3,825

<u>The total profit:</u>

Rs 15,453

<u>To get our final answer, we must do this operation:</u>

<u>C investment divided by Total Investment = C's profit and total profit:</u>

( Rs 225,000 - 25,000x) ÷ ( Rs 681,000 - 25,000x ) = Rs 3,825 / Rs 15,453

25 ( Rs 9,000 - 1,000x)/(Rs 681,000 - 25,000x) = (153 * 25) /(153 * 101)

( Rs 9,000 - 1,000x ) ÷ ( Rs 681,000 - 25,000x ) = 1 / 101

Rs 909,000 - 101,000x = Rs 681,000 - 25,000x

Rs 228,000 = 76,000x

Rs 228 = 76x

x = 3

8 0

2 years ago

Antoine has a solid, spherical ball of clay with a radius of 5 cm. If he shapes it into a solid, cone–shaped figure with a radiu

weqwewe [10]

Answer:

Step-by-step explanation:

We'll call height h.

The equations of a cone and sphere are:

Cones: 1/3 * base area * h

Spheres: 4/3 π * r³

The base area of a cone would be the area of a circle equation:

π * r² = π * 2² = 4π.

Because you're converting from sphere to cone, you would set their equations equal to each other.

1/3 * 4π * h = 4/3 π * 5³

Next, isolate h.

h = (4/3 π * 5³)/(1/3 * 4π)

h = 125

Hope this helps!

3 0

1 year ago