4p = 6(4p + 5)

what is the value of p?​

As the number of flips increases from 10 to 10000, we can expect the relative frequency of the occurrence of a Head to become more stable and closer to the true probability of 0.2.

The true probability of observing a Head based on this simulation is 0.2, which means that out of 10 flips, we would expect to see 2 Heads on average. However, as the number of flips increases from 10 to 10000, we would expect the relative frequency of the occurrence of a Head to approach the true probability of 0.2.

This is because of the Law of Large Numbers, which states that as the sample size increases, the sample mean will approach the true mean. In the case of coin flipping, the more flips we make, the closer we will get to the expected proportion of Heads.

For example, if we flip the coin 100 times, we might get 30 Heads and 70 Tails, which is a relative frequency of 0.3. However, if we flip the coin 1000 times, we might get 200 Heads and 800 Tails, which is a relative frequency of 0.2. As we continue to increase the number of flips, the relative frequency will approach the true probability of 0.2.

Therefore, as the number of flips increases from 10 to 10000, we can expect the relative frequency of the occurrence of a Head to become more stable and closer to the true probability of 0.2. This is important to keep in mind when conducting any type of statistical analysis based on coin flipping or other random events.

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The correct solution is shows in below.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

1) 3/4 - 1/5 = 11/20

2) 3 1/3 - 4/7 = 2 16/21

3) 3 3/7 - 2 2/3 = 16/21

Now,

Simplify the fraction as;

1) 3/4 - 1/5 = 11/20

LHS;

⇒ 3/4 - 1/5

⇒ (15 - 4) / 20

⇒ 11/20

⇒ RHS

2) 3 1/3 - 4/7 = 2 16/21

⇒ 10/3 - 4/7

⇒ (70 - 12) / 21

⇒ 58 / 21

⇒ 2 16/21

⇒ RHS

3) 3 3/7 - 2 2/3 = 16/21

LHS;

⇒ 3 3/7 - 2 2/3

⇒ 24/7 - 8/3

⇒ (72 - 56)/21

⇒ 16/21

⇒ RHS

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Answer: This one is equal to what we were looking for.

4 × 5c = 20 - 8d = 12

Step-by-step explanation:

(20c - 8d = 12) so we are look for an expression that is equal to 20c 8d and 12

2 × 10c = 20 + 4d = 24

4 × 5c = 20 - 8d = 12

4 × 5c = 20 - 2d = 18

c20 - 8d = 12

Answer:

63.784

Step-by-step explanation:

(9.52)(6.7)

=63.784

wym explain just use your calculator and multiply

mrk brainliest plz

Answer:

348.4 (if that is the number of the question then 52 times 6.7)

63.78 (if 9.52 times 6.7)

The probability of rejecting the claim that the variance of a normal population is σ2 = 25, when the variance of a random sample size 16 exceeds 54.668 or is less than 12.102, will be determined.

To find the probability of rejecting the claim, we need to determine the probability that the sample variance falls outside the given range when the population variance is known to be σ2 = 25.Since the sample variance follows a chi-squared distribution with degrees of freedom equal to the sample size minus one (df = 16 - 1 = 15), we can use the chi-squared distribution to calculate the probability. The probability of observing a sample variance greater than 54.668 or less than 12.102 can be calculated by finding the cumulative probability from the chi-squared distribution with df = 15 for these two values. This will give us the probability of observing a sample variance outside the given range. Using statistical software or chi-squared tables, we can find the corresponding cumulative probabilities. Subtracting this cumulative probability from 1 will give us the probability of rejecting the claim. Therefore, the probability that the claim will be rejected, even though σ2 = 25, can be calculated using the chi-squared distribution and the given values for the sample variance thresholds.

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We can equate the real and imaginary parts: `cos^4 θ - 6 cos^2 θ sin^2 θ + sin^4 θ = cos 4θ``4 cos^3 θ sin θ - 4 cos θ sin^3 θ = sin 4θ`.

In order to express cos^4 θ and sin^3 θ in terms of multiple angles, let us first consider the following trigonometric identity:`(cos A + i sin A)^n = cos nA + i sin nA` This is called De Moivre's theorem. It gives a way to compute the nth power of a complex number written in polar form. Let us substitute A = θ and n = 4 for cos^4 θ:`(cos θ + i sin θ)^4 = cos 4θ + i sin 4θ` Expanding the left-hand side using the binomial theorem, we have:`(cos θ + i sin θ)^4 = cos^4 θ + 4i cos^3 θ sin θ - 6 cos^2 θ sin^2 θ - 4i cos θ sin^3 θ + sin^4 θ`Since this is true for all values of θ, we can equate the real and imaginary parts:`cos^4 θ - 6 cos^2 θ sin^2 θ + sin^4 θ = cos 4θ``4 cos^3 θ sin θ - 4 cos θ sin^3 θ = sin 4θ`. Therefore, we have expressed cos^4 θ and sin^3 θ in terms of multiple angles.

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The 95% confidence interval for the given population proportion is between 0.1716 to 0.2884.

The confidence interval for a population proportion is calculated by the formula,

\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)

Where \(\bar{p}\) is the sample proportion and α is the level of significance.

It is given that,

The statistics reported on CNBC projects, a surprising number of motor vehicles are not covered by insurance. The sample results are

The sample size n = 200;

The number of successes = 46

So, the sample proportion \(\bar{p}\) = 46/200 = 0.23

For a 95% confidence interval, the level of significance is

α = 1 - 95/100 = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Then, the z-score for the value 0.025 is

\(z_{\alpha/2}\) = 1.96 (from the table)

Thus, the confidence interval is

\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)

⇒ C.I = 0.23 ± (1.96) × \(\sqrt{\frac{0.23(1-0.23)}{200} }\)

⇒ C.I = 0.23 ± 1.96 × 0.0298

⇒ C.I = 0.23 ± 0.0584

So, the upper limit is 0.23 + 0.0584 = 0.2884 and the lower limit is 0.23 - 0.0584 = 0.1716.

Therefore, the 95% confidence interval for the given population proportion lies between 0.1716 to 0.2884.

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Answer:

b

Step-by-step explanation:

Answer:

When x=5, f(x)=0

Step-by-step explanation:

\(f(x)=x-5\\\\f(5)=5-5\\\\f(5)=0\)

Therefore, when x=5, f(x)=0

Answer:

f(x) = 0

Step-by-step explanation:

f(x) = x - 5 .......replace x with 5

→ 5 - 5

→ 0

Answer:

(a) To prove that if n is an odd integer, then n^2 is an odd integer, we assume that n is an odd integer and prove that n^2 is also an odd integer.

Since n is an odd integer, we can express it as n = 2k + 1, where k is an integer.

Now, let's square both sides of the equation:

n^2 = (2k + 1)^2

Expanding the equation:

n^2 = 4k^2 + 4k + 1

We can rewrite the equation as:

n^2 = 2(2k^2 + 2k) + 1

Let's define a new integer m = 2k^2 + 2k. Since m is an integer, we can rewrite the equation as:

n^2 = 2m + 1

The equation shows that n^2 can be expressed in the form 2m + 1, where m is an integer. Therefore, n^2 is an odd integer.

(b) To prove that for any positive real numbers x and y, xy^2 is positive, we assume that x and y are positive real numbers and prove that xy^2 is also positive.

Since x and y are positive real numbers, they are greater than zero: x > 0 and y > 0.

Multiplying x and y^2, we have:

xy^2 > 0 * y^2

xy^2 > 0

Therefore, xy^2 is positive.

(c) To prove that if x is a real number and x ≤ 3, then 12 - 7x + x^2 ≥ 0, we assume that x is a real number and x ≤ 3, and prove that 12 - 7x + x^2 is greater than or equal to zero.

We start with the quadratic expression 12 - 7x + x^2 and simplify it:

12 - 7x + x^2 = x^2 - 7x + 12

To determine the sign of the expression, we factor it:

x^2 - 7x + 12 = (x - 3)(x - 4)

Since x ≤ 3, both factors (x - 3) and (x - 4) are less than or equal to zero.

Multiplying two negative or non-positive numbers yields a non-negative or positive result:

(x - 3)(x - 4) ≥ 0

Therefore, 12 - 7x + x^2 ≥ 0 when x is a real number and x ≤ 3.

(d) To prove that the product of two odd integers is an odd integer, we assume that m and n are odd integers and prove that their product mn is also an odd integer.

Since m and n are odd integers, we can express them as m = 2k + 1 and n = 2j + 1, where k and j are integers.

Now, let's multiply m and n:

mn = (2k + 1)(2j + 1)

Expanding the equation:

mn = 4kj + 2k + 2j + 1

We can rewrite the equation as:

mn = 2(2kj + k + j) + 1

Let's define a new integer p = 2kj + k + j. Since p is an integer, we can rewrite the equation as:

mn = 2p + 1

The equation shows that mn can be expressed in the form 2p + 1, where p is an integer. Therefore, mn is an odd integer.

(e) To prove that if r and s are rational numbers, then the product of r and s is a rational number, we assume that r and s are rational numbers and prove that their product rs is also a rational number.

Since r and s are rational numbers, we can express them as r = a/b and s = c/d, where a, b, c, and d are integers and b ≠ 0, d ≠ 0.

Now, let's multiply r and s:

rs = (a/b)(c/d)

Multiplying the numerators and denominators:

rs = (ac)/(bd)

Since ac and bd are both integers and bd ≠ 0, rs can be expressed as a fraction with integers in the numerator and denominator. Therefore, rs is a rational number.

a) The n² is an odd integer. b) We have proved that for any positive real numbers x and y, their product xy is also positive.

(a) If n is an odd integer, then n² is an odd integer.

To prove this statement, we will assume that n is an odd integer and show that n² is also an odd integer.

Assumption: n is an odd integer, so n = 2k + 1, where k is an integer.

Proof:

n² = (2k + 1)² [Substituting the value of n from the assumption]

= 4k² + 4k + 1 [Expanding the square]

Now, let's express 4k² + 4k as 2m, where m is an integer:

4k² + 4k = 2(2k² + 2k) = 2m

Substituting this back into the expression for n²:

n² = 2m + 1

We have expressed n² in the form 2m + 1, where m = 2k² + 2k. Since m is an integer, n² can be expressed as 2 times an integer plus 1. Therefore, n² is an odd integer.

Hence, we have proved that if n is an odd integer, then n² is an odd integer.

(b) For any positive real numbers x and y, xy > 0.

To prove this statement, we will assume x and y are positive real numbers and show that their product is also positive.

Assumption: x and y are positive real numbers.

Proof:

Since x and y are positive real numbers, we know that both x and y are greater than zero: x > 0 and y > 0.

Multiplying two positive numbers results in a positive number. Therefore, we have:

x * y > 0

Hence, we have proved that for any positive real numbers x and y, their product xy is also positive.

(c) If x is a real number and x ≤ 3, then 12 - 7x + x^2 ≥ 0.

To prove this statement, we will assume that x is a real number and x ≤ 3, and show that the expression 12 - 7x + x^2 is greater than or equal to zero.

Assumption: x is a real number and x ≤ 3.

Proof:

We can rewrite the expression 12 - 7x + x^2 as (x - 3)(x - 4).

We know that x ≤ 3, so (x - 3) ≤ 0. Similarly, (x - 4) ≤ 0.

Multiplying two non-positive numbers or two non-negative numbers results in a non-negative number. Therefore, we have:

(x - 3)(x - 4) ≥ 0

Hence, we have proved that if x is a real number and x ≤ 3, then 12 - 7x + x^2 ≥ 0.

(d) The product of two odd integers is an odd integer.

To prove this statement, we will assume that m and n are odd integers and show that their product is also an odd integer.

Assumption: m and n are odd integers.

Proof:

Since m and n are odd integers, we can express them as m = 2k + 1 and n = 2l + 1, where k and l are integers.

The product of m and n is:

m * n = (2k + 1)(2l + 1)

= 4kl + 2k + 2l + 1

= 2(2kl + k + l) + 1

Let p = 2kl + k + l. Since k, l, and p are integers, we can rewrite the expression as:

m * n = 2p + 1

We have expressed the product m * n as 2p + 1, where p is an integer. Therefore, the product of two odd integers is an odd integer.

Hence, we have proved that the product of two odd integers is an odd integer.

(e) If r and s are rational numbers, then the product of r and s is a rational number.

To prove this statement, we will assume that r and s are rational numbers and show that their product is also a rational number.

Assumption: r and s are rational numbers.

Proof:

Since r and s are rational numbers, we can express them as fractions: r = a/b and s = c/d, where a, b, c, and d are integers and b, d ≠ 0.

The product of r and s is:

r * s = (a/b)(c/d)

= ac / bd

The product ac and bd is the product of two integers, which is also an integer. Furthermore, since b and d are nonzero integers, their product bd is also nonzero.

Therefore, ac / bd is a fraction where the numerator and denominator are both integers. Hence, the product of r and s is a rational number.

Hence, we have proved that if r and s are rational numbers, then the product of r and s is a rational number.

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To determine when the rate of change of population is fastest, we need to analyze the behavior of the derivative dP/dt. Since the population is at its carrying capacity when P = 75, the rate of change of population is fastest when P is farthest from its carrying capacity. In this case, it would be at the lowest population value, which is P = 0.

The differential equation given is:

dP/dt = 2(1 - P/150)P

To find the carrying capacity, we need to determine the equilibrium point of the population, where the rate of change is zero (i.e., dP/dt = 0).

Setting dP/dt = 0 in the differential equation:

0 = 2(1 - P/150)P

Simplifying:

0 = 2P - \(2P^2\)/150

0 = P - \(P^2\)/75

Rearranging:

\(P^2\)/75 - P = 0

Factoring out P:

P(P/75 - 1) = 0

This equation is satisfied when either P = 0 or P/75 - 1 = 0.

For P = 0, the population is at its lowest and there is no growth.

For P/75 - 1 = 0, solving for P:

P/75 = 1

P = 75

So, the carrying capacity of the population, in this case, is 75.

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find the carrying capacity of differential equation: dP/dt= 2(1-P/150)P Suppose p(t) represents population of species x at time t years. what would be the population when the rate of change of population is fastest?

To solve the problem, it is best that we plot the given so we get an idea how the parabola looks.

The vertex of a parabola is between the directrix and the focus. Also, because we have a horizontal directrix, we know that the parabola opens downward.

Again, the vertex is right in between the directrix and the focus. So we know that the value of p is 1.5.

Using the values that we have so far, we can complete the equation. We have:

h = -2, k = 1.5, p = 1.5 direction of the parabola: opens downward

So the equation should be:

We rewrite this in the completing the square format using properties of equations.

Answer:

e

Step-by-step explanation:

The amount of a program that can be parallelized limits the amount of time it takes to run. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be 10 times regardless of the number of processors employed.

The amount of a program that can be parallelized limits the amount of time it takes to run. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be 10 times regardless of the number of processors employed. Parallel computing is a sort of computation in which several computations or processes are performed at the same time. Large issues are frequently broken into smaller ones, which may then be tackled concurrently.

Here,

Parallelization can only speed up a program so much. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be ten times regardless of the number of processors employed.

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Answer:

Step-by-step explanation:

1 unit left and seven units up. I got the answer right on Kahn

The numerical or verbal descriptions that usually result from measurements are called data or observations.

When measurements are conducted, whether in scientific experiments, surveys, or other data collection processes, the outcome is typically a set of data or observations.

These measurements can be represented numerically, such as numerical values or quantities, or verbally, using descriptive terms or categories.

Numerical descriptions provide precise quantitative information, such as measurements of length, weight, temperature, time, or any other measurable attribute. These measurements are often expressed using numbers or units of measurement.

Verbal descriptions, on the other hand, use words or qualitative descriptions to convey information about the observations.

For example, when conducting a survey, respondents might provide verbal responses that describe their opinions, preferences, or experiences.

Both numerical and verbal descriptions play important roles in data analysis and interpretation.

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If f(2) = 1 and the tangent line at x has slope (x − 1)ex2 − 2x. f(x) = ((x^2 - 2x + 1)/2)e^(x^2 - 2x).

To find f(x), we'll first integrate the given slope function to obtain the original function. The slope of the tangent line is given as (x - 1)e^(x^2 - 2x).

Let F'(x) = (x - 1)e^(x^2 - 2x). To find f(x), we need to integrate F'(x) with respect to x:

∫(x - 1)e^(x^2 - 2x) dx

Now, we can use substitution. Let u = x^2 - 2x, then du = (2x - 2) dx. Therefore, the integral becomes:

∫((u + 1)/2)e^u du

Now, we can integrate by parts. Let v = e^u, then dv = e^u du. Let w = (u + 1)/2, then dw = 1/2 du. Using integration by parts formula:

∫w dv = wv - ∫v dw

∫(u + 1)/2 * e^u du = ((u + 1)/2)e^u - ∫(1/2)e^u du

Now integrate the remaining part:

∫(1/2)e^u du = (1/2)e^u + C

Substituting back:

f(x) = ((x^2 - 2x + 1)/2)e^(x^2 - 2x) + C

Now, use the given condition f(2) = 1:

1 = ((2^2 - 2*2 + 1)/2)e^(2^2 - 2*2) + C

1 = (1)e^0 + C

C = 0

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Answer:

The quotient is  3 and \(\frac{3}{4}\).

Step-by-step explanation:

To find the quotient of the division (which is just the solution, really), we have to solve the division itself:

\(\frac{\frac{3}{4}}{\frac{1}{5}}\)

\(= \frac{3 \cdot 5}{1 \cdot 4}\)

\(= \frac{15}{4}\)

Now that we know the quotient, we can look at the question itself to find it requires from us an answer with a whole number in it.

Therefore, we transform the fraction as thus:

\(\frac{15}{4}\)

\(= 3 \frac{3}{4}\)

Therefore, the final answer is 3 and \(\frac{3}{4}\).

Hope this helped!

Answer: 3

Step-by-step explanation: 90 miles apart and if 1 inch equals 30 miles  divide 90/30 and you'll take 3

To calculate ∗f∗g by directly evaluating the integral in the definition of ∗f∗g, we need to find the convolution of the functions f(t) = et and g(t) = −4e−4t over the interval 0 ≤ t < ∞.

The convolution of two functions f(t) and g(t) is defined as:

(f * g)(t) = ∫₀ᴛ f(τ) g(t - τ) dτ

To calculate the convolution of f(t) and g(t), we need to substitute the given functions into the definition:

(f * g)(t) = ∫₀\(ᴛ e^τ (-4e^(−4(t-τ))) dτ\)

= \(-4e^(-4t)\)∫₀ᴛ\(e^(5τ)\) dτ

Using integration by substitution, we can simplify this integral to:

(f * g)(t) = -4e^(-4t) [(e^(5t) - 1) / 5]

Therefore, ∗f∗g = (f * g)(t) = \(-4/5 + (4/5)e^(t-4t) = -4/5 + (4/5)e^(-3t)\))

Thus, we have calculated the convolution of f(t) = et and g(t) = −4e−4t by directly evaluating the integral in the definition of ∗f∗g.

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Answer:

13

Step-by-step explanation:

the next number is the sum of the two predictions.

0+1 = 1+1 = 2+1 = 3+2 = 5

Then the sequence will continue in the same way:

3+5 = 8

5+8 = 13

The value of the expression is -5.84

The question is mathematically expressed as follows

The question reads: three fifths times the quantity 1 plus the square root of 16 end quantity squared minus the quantity five minus two end quantity cubed

[(3/5*1 + √16)]² - (5-2)³

Simplify the brackets first

This implies that

(3/5 + 4)² - (3)³

Simplify further to have

[(3+20)/5]² - 27

⇒(23/5) -27

Simplify to get

529/25 - 27

= 21.16 - 27

=-5.84

Therefore the expression gives -5.84

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Isabella's net worth is $2,725. So, the correct answer is not $18,895 or $-19,225 or $19.225 or $1500.

It's important to understand that net worth is a measure of an individual's financial health and is a reflection of their financial standing at a given point in time. In Isabella's case, her net worth is positive, which indicates that she has more assets than liabilities. However, it's worth noting that her net worth does not take into account her income, expenses, or any other financial obligations or assets that she may have. Therefore, it's important to regularly review one's net worth and take steps to improve it over time.

To calculate Isabella's net worth, we need to add up all of her assets and subtract all of her liabilities:

Assets:

Car worth: $16,700

Savings account: $4,950

Total assets: $16,700 + $4,950 = $21,650

Liabilities:

Credit card balance: $925

Rent for the remainder of the lease: $1,500/month x 12 months = $18,000

Total liabilities: $925 + $18,000 = $18,925

Net worth:

$21,650 - $18,925 = $2,725

Therefore, Isabella's net worth is $2,725.

The correct answer is not $18,895 or $-19,225 or $19.225 or $1500.

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Answer: Hello sorry about the verified answer I got it wrong too but this is the answer. Have a great day!

The stem and leaf plot is an illustration of graphs and charts.

The number of days of temperatures displayed on the stem and leaf plot is 10

The stem and leaf plot is given as:

Stem            Leaf

4                   9

5                   2  4   4  6  8

6                   0   1

7                   2   3

To determine the number of days, we simply count the number of leaves on the plot.

The leaves on the plot are:

Leaves: 9, 2, 4, 4, 6, 8, 0, 1, 2 and 3

The number of leaves is:

Count = 10

Hence, the number of days of temperatures displayed on the stem and leaf plot is 10

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Answer:

\(-\frac{15}{7}\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

it should be -\(\frac{15}{7}\)

Step-by-step explanation:

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

To find the probability that the sample mean will lie between 78 and 81, we need to calculate the z-scores corresponding to these values and then use the standard normal distribution to determine the probability.

The Central Limit Theorem states that when the sample size is large enough, the distribution of sample means will be approximately normally distributed, regardless of the shape of the population distribution. In this case, since the sample size is 64 (which is considered large), we can assume that the sample mean follows a normal distribution.

To calculate the probability, we first convert the sample mean values of 78 and 81 into z-scores using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

For 78:

z = (78 - 80) / (10 / √64) = -2 / 1.25 = -1.6

For 81:

z = (81 - 80) / (10 / √64) = 1 / 1.25 = 0.8

We can then use a standard normal distribution table or a calculator to find the probability associated with these z-scores. The probability that the sample mean will lie between 78 and 81 is the difference between the cumulative probabilities corresponding to these z-scores.

P(78 ≤ x ≤ 81) = P(-1.6 ≤ z ≤ 0.8)

Using a standard normal distribution table or calculator, we can find the cumulative probabilities associated with these z-scores and calculate the probability.

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Answer:

=

4

-

5

Step-by-step explanation: