y-intercept. y = -3/2x

The factor  used to convert feet per minute into miles per minute =63,756 70min is

10.35 miles per hour

Generally, the equation for is  mathematically given as

x=63,756 ÷ 70

x= 910.8 ft.

y=910.8 · 60

y= 54,648 ft.

z=54,648 ÷ 5280

= 10.35

In conclusion, One mile equals 5,280 feet. To convert from feet per minute to miles per hour, just divide the number by 5280.

Each hour consists of 60 minutes. The formula for converting miles per minute to miles per hour is simply to divide the number by 60.

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The probability that at least one of the four selected calculators is defective is approximately 0.7775, or 77.75%.

To find the probability that at least one of the selected calculators is defective, we can use the concept of complementary probability. We calculate the probability of none of the selected calculators being defective and subtract it from 1.

The total number of calculators in the group is 20 (defective) + 29 (no defects) = 49 calculators.

The probability of selecting a non-defective calculator in one draw is 29/49. Therefore, the probability of selecting four non-defective calculators in a row is (29/49)^4.

To find the probability of at least one defective calculator, we subtract the probability of none being defective from 1:

P(at least one defective) = 1 - P(none defective)

                       = 1 - (29/49)^4

Using this formula, we can calculate the probability.

P(at least one defective) ≈ 1 - (29/49)^4 ≈ 1 - 0.2225 ≈ 0.7775

Therefore, the probability that at least one of the four selected calculators is defective is approximately 0.7775, or 77.75%.

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Answer: The slope is -1.

Answer:

D. 11

Step-by-step explanation:

The bars around the expression represent absolute value. Absolute value is the distance between a number and zero. Since a distance is always positive the absolute value of a number is that number but positive.

So, to solve this expression, first, subtract 8 from -3, -3-8 equals -11. The absolute value of -11 is 11.

The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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Answer:

729

Step-by-step explanation:

Answers:

If the value of a is less than zero then the parabola is open downward. Then the correct option is C.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0.

a. The y-intercept of the graph is at (0,c). This is incorrect.

b. The graph has an x-intercept at (c,0). This is incorrect.

c. When a < 0 the graph is open downward. This is correct.

d. The graph has two x-intercepts. This is incorrect.

e. If b = 0, then the vertex is on the y-axis. This is incorrect.

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No, the variances are not similar enough to use the pooled t test. The ratio of the two variances (25/8) is greater than 3, which is the typical cutoff for determining similarity of variances. Therefore, an alternative method such as the Welch's t-test or a non-parametric test should be used to compare the means.

To determine if the variances are similar enough to use a pooled t-test, you can perform an F-test for equality of variances. Follow these steps:

1. Calculate the F statistic by dividing the larger variance by the smaller variance: F = var2 / var1 = 25 / 8 = 3.125.

2. Determine the degrees of freedom for each group: df1 = 10 - 1 = 9 and df2 = 10 - 1 = 9.

3. Check the F critical value for the given degrees of freedom and chosen significance level (e.g., 0.05) using an F-distribution table or a calculator. For df1 = 9 and df2 = 9 at a 0.05 significance level, the F critical value is approximately 3.18.

4. Compare the calculated F statistic to the F critical value: 3.125 < 3.18.

Since the F statistic is less than the F critical value, we fail to reject the null hypothesis that the variances are equal. Therefore, the variances are similar enough to use the pooled t-test to evaluate differences in the means. The answer is yes.

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Answer:16 minutes

Step-by-step explanation:

64 errors / 8 errors = 8

8 x 2 minutes = 16 minutes

Answer:

300metres

Explanation:

Let the standard length of the film reel be x

Percentage used = 30%

Length og strip film used = 90m

To get x, we will use the expression

30% of x = 90

0.3x = 90

x = 90/0.3

x = 300

Hence the the standard length on a film reel is 300metres

Answer:

Jamal's age = 2×x+12= 2x+12

sum og ages = 45

2x+12+x= 45

=3x+12=45

=45-12= 3x

= 32=3x

x= 32/3= 10.67

2x+13 =21.34+12= 33.34

hope.ot helps

plz mark as brainliest

a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.

Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)

The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%

≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%

≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%

≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%

≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.

Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.

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Answer:

slope = 9 y-intercept = -5/2

Step-by-step explanation:

since slope form is y=mx+b we know that m= slope and b=y-intercept. since 9 is in place of the m that shows that 9 is the slope. since 5/2 is in the b place you would think the y-intercept would be 5/2 but since the equation is - 5/2 instead of + 5/2 it would be + (-5/2) making the y-intercept negative. hope this helped. :)

Answer:

He is not happy with his choice.

Step-by-step explanation:

I think don't have enough of information

A probability is given by the division of the number of desired outcomes by the number of total outcomes.

The total number of games is given as follows:

5 + 11 + 6 + 6 = 28.

He scored 2 touchdowns in 6 games, hence the probability is of:

p = 6/28 = 3/14.

He scored more than 1 touchdown in 6 + 6 = 12 games, hence the probability is of:

p = 12/28 = 6/14 = 3/7.

The estimated value is the mean, which is the sum of all observations divided by the number of values, hence:

Mean = (0 x 5 + 1 x 11 + 2 x 6 + 3 x 6)/28 = 1.46 touchdowns.

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Answer:

4 1/6 cups of the smoothie were left.

Step-by-step explanation:

The LCD here is (3)(4) = 12.

Thus, 5 2/3 cups equals 5 8/12 and 1 3/4 cups equals 1 6/12 cups.

Subtract 1 6/12 cups from the original 5 8/12 cups.  We get:

5 8/12

-1  6/12

-----------

 4 2/12, or 4 1/6.

4 1/6 cups of the smoothie were left.

The ratio that correctly models the situations are:

1 to 3 - for every cup of water added to the mixture, there are three drops of food colouring added.

4 : 3 - for every 4 students wearing pants, there are 3 students wearing shorts.

12 : 3 - there 4 times as many boys as there are girls.

A ratio expresses the relationship between two numbers. It shows the number of times that one value is contained in another value. The sign used to represent ratios is :.

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The electric field intensity at the center of the equilateral triangle is given by -q * L / (πε₀r), considering the contributions of the line charge ℓ₃.

Let's calculate the electric field intensity at the center of the equilateral triangle formed by the three line charges.

Given:
Length of each line charge: L
ℓ₁ = ℓ₂
ℓ₃ = -2ℓ₁

We need to calculate the electric field intensity created by ℓ₃ at the center of the triangle. The formula for electric field intensity created by a line charge is E = (ρ * L) / (2πε₀r), where ρ is the charge density, L is the length of the line charge, ε₀ is the permittivity of free space, and r is the distance from the charge to the point where the electric field is being measured.

Since ℓ₃ = -2ℓ₁, let's assume ℓ₁ = q, where q is the charge density of ℓ₁. Therefore, ℓ₃ = -2q.

To find the electric field intensity at the center, we need to calculate the individual electric field intensities created by ℓ₃ at the center and then sum them up.

For ℓ₃:
Electric field intensity at the center (E₃) = (ℓ₃ * L) / (2πε₀r)
= (-2q * L) / (2πε₀r)
= (-q * L) / (πε₀r)

Hence, the electric field intensity at the center of the equilateral triangle is given by -q * L / (πε₀r).

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the more compact hospital. The Law of Large Numbers, which makes intuitive sense, states that when there are more observations, the experimental average tends to approach the true proportion. Large hospitals have more observations, therefore their results are less likely to deviate from 50% or have a wide range of results.

An equation that states that two ratios are equal is a genuine proportion. You can utilise information about one ratio in a proportion to determine values in the other equal ratio.

The sample proportion, p′ = 0.842, which is the point estimate of the population proportion, must be determined in order to calculate the confidence interval. Given that CL = 0.95 is the requested confidence level, = 1 - CL = 1 - 0.95 = 0.05 ( 2) ( 2) follows..

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Answer:

Perimeter = 182 cm, area = 2,028 cm2

Step-by-step explanation:

original perimeter=2*(8+6)+28 cm

original area=8*6= 48 cm²

You would have to do the old length and width times the scale factor

Multiply both of the width's

8 * 6.5 = 52 cm

scale factor: 6 * 6.5 = 39 cm

To get perimeter = 2(length + width)

2(52+39)=182 cm.

So you would have to do length(52 cm) * width(39 cm)

To get 2028 cm^2

the third one

Step-by-step explanation:

Because I’m right

Answer:

THE ANSWER IS

XY=19

Step-by-step explanation:

Given

/_ X (write sign as given) /_ W

XY = YW [ corresponding sides of congruent angles are equal]

i. e. XY = 19

You need to prove that ΔAEC ≅ ΔBED

You know that point E is the midpoint of AB and CD

The midpoint divides a line segment into two congruent lines. This means that E divides AB into two congruent segments AE and EB, and it also divides CD into two congruent segments CE and ED, then we can conclude that:

1. AE=EB → Reason Midpoint Theorem

2. CE=ED → Reason Midpoint theorem

Both lines AB and CD intersect at point E, forming an X shape. The ingles formed inside the X are vertically opposite angles, this means that

3. ∠AEC= ∠BED → Reason Vertically opposite angles

Since E is the midpoint where both "diagonals of the parallelogram" AB and CD intersect, then sides AC and DB are parallel. If AB || CD, then ∠ACE and ∠BDE are alternate interiors angles as well as ∠CAE and ∠DBE. Alternate interior angles are congruent, so that:

4. ∠ACE=∠BDE → Reason alternate interior angles, AB || CD

5. ∠CAE=∠DBE → Reason alternate interior angles, AB || CD

Then → ΔAEC ≅ ΔBED by SAS and AAA

Answer:

answer is x= 14 hope it helps

Answer: 1/3

Step-by-step explanation: 2/6 = 1/3

Answer:

Step-by-step explanation:

Given,

Total outcome = 6

No. of same colored shirts and shorts = 2

Therefore,

Probability of getting same colored shirts and shorts

\( = \frac{no. \: of \: outcome}{total \: outcome} \)

\( = \frac{2}{6} \)

\( = \frac{1}{3} (ans)\)

In constructing 95% confidence intervals for the difference in means, we expect that, over the long run, the correct answer will be option A, i.e., % of the time, the difference in population means will fall inside the confidence interval.

Confidence intervals are a statistical tool used to estimate population parameters based on sample data. In constructing a 95% confidence interval, we expect that in 95% of all possible samples, the true population parameter will fall within the calculated interval. In other words, if we were to repeat the sampling process many times and construct a confidence interval for each sample, we would expect that about 95% of these intervals would contain the true population parameter. Therefore, we can say that there is a 95% probability that the true population parameter lies within the calculated interval. For the difference in means, this means that there is a 95% chance that the true difference in population means falls within the confidence interval, and only a 5% chance that it falls outside the interval.

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Answer:

look at the question another way or from another angle

Step-by-step explanation:

Answer:B.Sample space

Step-by-step explanation: