During taylor's first test of a car with a mass of 250 grams, she recorded 10 seconds, 10.3 seconds, and 10.4 seconds for her 3 trials. what would be the mean value she would use to compare with the other cars?

Answer:

9.16

Step-by-step explanation:

4.58/.5

Answer:

9.16

Step-by-step explanation:

4.58

--------

0.5

45.8

--------

5

5 into 45 is 9

9 x 5 = 45

45-45= 0

5 into 8 is 1

1 x 5 = 8

8 - 5 = 3

Bring down the zero: 30

5 into 30 is 6

5 x 6 = 30

30 - 30 = 0

the solution for long division of 4.58

                                                    -------- = 9.16

                                                       5

Hope this helps

Answers:

=========================================================

Explanations:

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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Answer: Multiplying 3x and -x we obtain A= -3x^2

Answer:

Dependent

Step-by-step explanation:

Since the marble is not returned, the result of the second probability is dependent upon which marble was 1st drawn.

Answer:

Graph a dot at the coordinates (0, 5) and (1, 0). Afterwards, connect the two dots!

Step-by-step explanation:

You just want a line that has a y-intercept of 5 and an x-intercept of 1. This is quite easy to make by just plotting the x-intercept at 1, thus (1, 0) and plotting the y-intercept at 5, thus (0, 5), and connecting the two dots and extending them to make a line.

Answer:

The slope would be positive 5/2

Step-by-step explanation:

When finding slope you do rise over run. Or rise/run.

This is rise |

This is run __

So going up or down is a rise.

And going left or right is a run.

Did this help??

Step-by-step explanation:

\(T=r/r-3\\T+3=r/r\\(T+3)*r=r\\r=(T+3)*r\)

Answer:

if it's wednesday

Step-by-step explanation:

The closed formula of h(t) and f(t) for

h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,

h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)

h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)

The recursive equations for the given two interacting population of hares and foxes are

h(t+1)=4h(t)-2f(t)

f(h+1)=h(t)+f(t)

for the given initial population in parts from a to c we need to create a close formula for h(t) and f(t)

h(t) = 100(2t+1)

f(t) = 100(2t-1)

h(t) = 200(2t+1)

f(t) = 100(2t-1)

h(t) = 300 + 200(2t+\((-1)^{t}\))

f(t) = 200 - 100\((-1)^{t}\)

The closed formula of h(t) and f(t) for

h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,

h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)

h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)

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Answer:

x=6.3  :)

Step-by-step explanation:

2(x+4)-6=5x-17

2x+8-6=5x-17

2=3x-17

19=3x

19/3=6.3

Answer:

2(x+4) -6 = 5x-17

2x + 8 - 6 = 5x - 17

8 -6 + 17 = 5x - 2x

2 + 17 = 3x

19 = 3x

divide both side by the coefficient of x which is 3

19/3 = 3x/3

x = 19/3

x = 6 1/3. or 6.33

Answer:

10×x + 4×y -(10+2)

Step-by-step explanation:

we will simplify it

Equation at the end of step1: (7x + 18) (4) - 4x = 0 2 STEP2:Equation at the end of step 2 2 • (7x + 18) - 4x = 0 STEP3:STEP4:Pulling out like terms

 4.1     Pull out like factors :

   10x + 36  =   2 • (5x + 18) 

Equation at the end of step4: 2 • (5x + 18) = 0 STEP5:Equations which are never true:

 5.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

 5.2      Solve  :    5x+18 = 0 

 Subtract  18  from both sides of the equation : 

                      5x = -18

Divide both sides of the equation by 5:

                     x = -18/5 = -3.600

Step-by-step explanation:

the given speed is

63 cm / 2 days

1 m = 100 cm

therefore, m = cm/100.

so,

63 cm = 0.63 m

1 day = 24 h

therefore,

2 days = 24×2 = 48 h

so, we have a speed of

0.63 m / 48 h

we need to get the speed of meters in 1 hour.

so, we need to do a normal fraction operation.

e.g. when we have 43/10, but we want to have 1 in the denominator (bottom part).

what do we do ? well, we divide top and bottom (to keep the total value of the fraction unchanged) by 10 and get

4.3/1 = 4.3

we do the same with

0.63 m / 48 h

as we want to have only 1 hour in the denominator.

we divide top and bottom by 48 :

0.63/48 / 1 h = 0.013125 m/h ≈ 0.01 m/h

Answer:

C

Step-by-step explanation:

using the formula for circumference of a circle.

2πr is the formula.

closest answer is 15.7 ft

The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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Answer: 5

Step-by-step explanation: Leg A + Leg B= Leg C

9+16=25 the square of 25 is 5

Answer:

5 = c

Step-by-step explanation:

pythagorean theorem is simply a^2 + b^2 = c^2

so a=3 and b=4 so we plug them in

3^2 + 4^2 = c^2

which is

9 + 16 = c^2

so

25 = c^2

then we take the square root for the answer!!

sqrt(25) = sqrt(c^2)

5 = c

The probabilities from the binomial probability mass function P(x ≤ 2) will be 0.9298.

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as

\(\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)

q = 1 - p = 1 - 0.10 = 0.90

Let x be a binomial random variable with p = 0.1 and n = 10.

The probabilities from the binomial probability mass function P(x ≤ 2) will be

P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x ≤ 2) = ¹⁰C₀ × (0.1)⁰ × (0.9)¹⁰ + ¹⁰C₁ × (0.1) × (0.9)⁹ + ¹⁰C₂ × (0.1)² × (0.9)⁸

P(x ≤ 2) = 0.3487 + 0.3874 + 0.1937

P(x ≤ 2) = 0.9298

Your question was incomplete but the complete question is given below.

Let x be a binomial random variable with p = 0.1 and n = 10. Calculate the probability from the binomial probability mass function less than or equal to 2.

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Answer:

b= 29/11

Step-by-step explanation:

2b+8-5b+3=-13+8b-5

8-5b+3=-13+8b-5-2b

8-5b+3=-13+6b-5

8+3=-13+6b-5+5b

8+3=-13+11b-5

8+3=-18+11b

11=-18+11b

29=11b

b=2.63

Answer:

\( \frac{ \alpha + \beta + \gamma }{ - d} \)

Step-by-step explanation:

If we simplify that fraction, we get

\( \frac{ \alpha + \beta + \gamma }{ \alpha \beta \gamma } \)

Keep that in mind.

If y, a ,b are zeroes of the cubic polynomial, then that means

\((x - \alpha )(x - \beta )(x - \gamma )\)

make up the polynomial.

Notice that leading xoeffeicent will be 1, so the roots will multiply to

\( - d\)

so

\( \alpha \beta \gamma = - d\)

which gives us

\( \frac{ \alpha + \beta + \gamma }{ - d} \)

Proof:

Consider the function

\((x - 2)(x - 3)(x - 5)\)

The roots are 2, 3, 5.

D is -30 so we get

Using the value,

\( \frac{2 + 3 + 5}{ 30} = \frac{1}{3} \)

If we use the orginal equation, we get

\( \frac{1}{6} + \frac{1}{10} + \frac{1}{15} = \frac{10}{30} = \frac{1}{3} \)

Answer:

Hey,mate

Notice that leading xoeffeicent will be 1, so the roots will multiply to

The roots are 2, 3, 5.

\(\sqrt{2} \sqrt{3} \sqrt{5}\)

D is -30

a) The speed of the car in front of you appears to be coming towards you is 41t₀. The speed of the car behind you appears to be gaining on you at the same speed is 41t₀. Someone standing on the ground would say that the two cars are moving at t₀ + 41t₀ = 82t₀.

b) We know that the speed of the fish in still water is V, and the speed of the current is C. And the time the fish takes to swim downstream is 61t₀ and upstream is 31t₀. So:

Downstream: V + C = L / (61t₀)

Upstream: V - C = L / (31t₀)

Adding the two equations we get:

2V = (4L / 61t₀) → V = (2L / 61t₀)

Therefore, C = (L / 61t₀) which is the speed of the current.

c)In order to get across the river, you have to swim at a speed perpendicular to the current (so that you don't get drifted away) and with a speed of fa * 3L, as given. Therefore, the required angle can be found by:

f a3L = (V cos α)sin α

= (C cos α)sin αtan α

= (fa * 3L) / C

= 3fa * 61t₀ / Ld)

The width of the river is 31L. The time taken to get across can be found using the formula:

Time = (Distance) / (Speed)

Since the speed of the current is C, the effective speed (in still water) is fa * 3L, the distance to be crossed is 31L, and the time taken is:

Time = (31L) / (fa * 3L - C)  

= (31L) / (3fa * 61t₀ / L)

= (31L²) / (3fa * 61t₀)

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Step-by-step explanation:

bro what kind of class got u doing these math equations

Answer:

5x+2y+14

Step-by-step explanation:

3x+2x+2y+8+6

5x+2y+14

Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth.

You have to have the 2 or 3 as the first digit.

After that, the other 3 digits can be done in 3! = 6 ways.

So, the total is 2*3! = 12

The number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000 is 9.

A permutation is a word that describes the number of ways things can be ordered or arranged.​

Given are numbers, 0,1, 2, 3

We asked for numbers greater than 2000, so those numbers will start either from 2 or 3.

2 _ _ _ = 3! = 6

3 _ _ _ = 3!/2! = 3

Hence, total possible ways are 6+3 = 9

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