find solution and show work for: (3.4^17)4

Based on the left-tailed z test with a test statistic of z = -1.99 at a 5% level of significance, the correct decision would be to reject the null hypothesis.

In hypothesis testing, the level of significance (alpha) determines the threshold for rejecting the null hypothesis. A left-tailed test is used when the alternative hypothesis suggests a decrease or a difference in a specific direction.

At a 5% level of significance, the critical value for a left-tailed test is -1.645. Since the calculated test statistic, z = -1.99, is more extreme (i.e., smaller) than the critical value, we have sufficient evidence to reject the null hypothesis. The test statistic falls in the rejection region, indicating that the observed data is unlikely to occur under the assumption of the null hypothesis.

Therefore, based on the given information, the correct decision would be to reject the null hypothesis.

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Answer:

4/19

Step-by-step explanation:

Jar a: 3/8

Jar b: 1/11

8+11 = 19

3+1= 4

4/19

Answer:

48% of 75 is 36 so then 60% of 45 is 27, so then we do simple subtraction and do 36-27 which gives us 9

Step-by-step explanation:

Answer:

x = - 6

Step-by-step explanation:

Remark

When parallel lines are cut by a transversal (as these lines are) then there are only 2 values for the angles can be made.  In this case, the angles formed are alternate interior angles.

Alternate interior angles are equal.

Solution

x + 86   = 80               Subtract 86 from both sides.

x + 86-86 = 80 -86

x = - 6

Answer:

-3,-2,3,2

Step-by-step explanation:

Let a = x^2

Then the equation turns into

a^2 - 13 a +  36 =0

a^2 - 4a - 9a + 36 = 0

a(a - 4) -9 (a -4) =0

(a-9)(a-4) = 0

a = 9 or a = 4

So

x^2 = 9 or x^2 = 4

Therefore x = -3,3 or x= -2,2.

x⁴ - 13x² + 36 = 0

t² - 13t + 36 = 0

t = 4, t = 9

x² = 4, x² = 9

x = ±2, x = ±3

Answer:

Step-by-step explanation:

2(8)+4=(8)f equals 16+4=(8)f, which equals 20=8f

Answer:

20

Step-by-step explanation:

Values the constant c are;

a) c = 2.16.

b) c = 0.57.

c) c = -1.17.

a) We need to find the value of c such that Φ(c) = 0.9838. Using a standard normal table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.9838 is approximately 2.16. Therefore, c = 2.16.

b) We need to find the value of c such that P(0 ≤ Z ≤ c) = 0.291. Using a standard normal table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.291 is approximately 0.57. Therefore, c = 0.57.

c) We need to find the value of c such that P(c ≤ Z) = 0.121. Using a standard normal table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.121 is approximately -1.17. Therefore, c = -1.17.

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The probability that Nadia randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136.

We have,17 total number books out of which,10 are fiction books, 2 are reference books, 5 are non-fiction books.

The combination is the number of ways of selecting things.

Probability is to quantify the possibilities.

Number of ways in which a reference book can be picked = ²C₁

Probability of picking a reference book = ²C₁ / ¹⁷C₁ = 2/17

Now, the total number of books left on the bookshelf is 16

The number of ways in which a non-fiction book can be picked after a reference book is already picked up( no replacement) = ⁵C₁ / ¹⁶C₁ = 5/16

Total probability =multiplication of both the possibilities

Total probability =(2/17)×(5/16) = 5/136

Therefore, the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136

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Answer:

C. 5/156

Step-by-step explanation:

Edge 2023

Answer: 2 points

Step-by-step explanation:

If two hundred liters of a punch that contains 35% fruit juice is mixed with 300 liters of another punch and the resulting fruit punch is 20% fruit juice, then the percent of fruit juice in 300 liters of punch is calculated to be 10%.

The percentage of fruit juice in 300 liters of punch can be calculated by forming a linear equation.

A linear equation also termed a first-degree equation is an equation with one or more variables that have the highest power of one.

A linear equation for this problem can be given as:

the volume of the first punch × percentage of fruit juice in the first punch + the volume of the second punch × percentage of fruit juice in the second punch = total volume × total percentage of fruit juice

Consider x = percentage of unknown fruit juice

Now add the given values in the equation:

200 × 35 + 300(x) = 500 × 20

7000 + 300(x) = 10000

300(x) = 10000 - 7000

300(x) = 3000

x = 3000 / 300

x = 10%

Hence, the percentage of fruit juice in 300 liters of punch is calculated to be 10%.

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Answer:

No, I don't think so; an equation must have an equal sign in it. Expressions, however, do not have equal signs in them. Therefore I think 15 + k is an expression, not an equation. Hope this helps :)

When is impossible that two events a and b occur simultaneously, the events are said to be mutually exclusive

Two events A and B, are mutually exclusive when it is impossible that they occur at same time. They are also called disjoint events. The probability of both events occurring at same time will be zero. It can be expressed by:

P (A and B) = 0

For example:

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

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Using linear approximation, the estimated value of ∛7 is approximately 11/6.

To estimate the value of ∛7 using linear approximation, we can use the concept of the tangent line approximation. We choose a value of 'a' close to 7 to minimize the error.

Let's choose 'a' as 8, which is close to 7. The equation of the tangent line to the function f(x) = ∛x at x = a is given by:

T(x) = f(a) + f'(a)(x - a)

Here, f(x) = ∛x, so f'(x) represents the derivative of ∛x.

Taking the derivative of ∛x, we have:

\(f'(x) = 1/3 * x^{-2/3}\)

Substituting a = 8 into the equation, we get:

T(x) = ∛8 + \((1/3 * 8^{-2/3})(x - 8)\)

Simplifying further:

T(x) = 2 + \((1/3 * 8^{-2/3})(x - 8)\)

To estimate ∛7, we substitute x = 7 into the equation:

T(7) = 2 + \((1/3 * 8^{-2/3})(7 - 8)\)

Calculating the expression:

\(T(7) = 2 + (1/3 * 8^{-2/3})(-1)\)

Now, we need to evaluate the expression for T(7):

\(T(7) ≈ 2 + (1/3 * 8^{-2/3})(-1)\) ≈ 2 - (1/3 * 1/2) ≈ 2 - 1/6 ≈ 11/6

Therefore, using linear approximation, the estimated value of ∛7 is approximately 11/6.

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a) With 95% confidence the proportion of all smart phones that break before the warranty expires is between 0.0525 and 0.0635.

b) If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About 95 percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about 5 percent will not contain the true population proportion.

A smart phone manufacturer is interested in constructing a 95% confidence interval for the proportion of smart phones that break before the warranty expires. 95 of the 1666 randomly selected smart phones broke before the warranty expired.To calculate the confidence interval for the proportion of smart phones that break before the warranty expires, we must first calculate the point estimate of the population proportion of smart phones that break before the warranty expires:95/1666 = 0.057 (rounded to three decimal places)Then, we have to find the margin of error that is, the maximum distance between the point estimate and the confidence interval limits.

We can do that with the help of the following formula:margin of error = critical value × standard errorThe critical value can be found in the z-table or t-table, depending on the sample size. Since we do not know the population standard deviation, we can use the t-distribution. The degrees of freedom are n − 1 = 1666 − 1 = 1665.Using the t-table with degrees of freedom 1665 and level of significance α = 0.05, the critical value is:t* = 1.96 (rounded to two decimal places)The standard error can be calculated using the following formula:standard error = √[(p-hat (1-p-hat))/n] = √[(0.057(1-0.057))/1666] ≈ 0.0083 (rounded to four decimal places)Finally, we can calculate the confidence interval using the following formula:confidence interval = point estimate ± margin of error confidence interval = 0.057 ± 1.96(0.0083) = (0.0525, 0.0635)The 95% confidence interval for the proportion of all smart phones that break before the warranty expires is between 0.0525 and 0.0635.

If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About 95 percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about 5 percent will not contain the true population proportion.

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Answer:

4.32 francs

Step-by-step explanation:

45p × £/(100p) × 9.6 francs / £ = 4.32 francs

Answer:

4

Step-by-step explanation:

Wait... this doesn’t make sense because it doesn’t tell you if there was tax, how many friends there were, or tips.

Answer:

16/y = x

Step-by-step explanation:

You cannot solve for the question yet. However, you can create an equation!

we know that each person paid 16 dollars.

We don’t know how much the bill was or how many people were there.

So out equation looks like;

z/y = x

or

z * x = y

z = how much each person paid.

y = how much each person paid.

x = how many people paid.

Substitute with what we know.

16/y = x

16 * x = y

Now you will be able to substitute for either x or y to find either answer.

The value x 12. 1  is x=1 .The probability of guessing the correct answer is 12

Let's use the fact that the sum of the probabilities of all possible outcomes is equal to 1.

If the probability of guessing the correct answer is 12x, then the probability of not guessing the correct answer is 1 - 12x.

We are given that the probability of not guessing the correct answer is 32​, so we can set up the equation:

1 - 12x = 32​

Solving for x:

-12x = -12

x = 1

Therefore, the probability of guessing the correct answer is 12.

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\(\displaystyle\bf Solve:8\times p=5,2 \$ => p=\frac{5,2}{8} =\frac{5,2:\boxed{8}}{8:\boxed{8}} =0,65\$\quad She \:unit\: cost\:is\:\underline{ 0,65} \\\\Check :\:8\times\underline{0,65} =5,2\$ \\\\0,65=0,65 \\\\\rightarrow The\: price\:per \:apple \:is \: 0,65 \$\)

Answer:

t=12

Step-by-step explanation:

t/3 - 2 = 2

3(t/3 - 2 = 2)

t - 6 = 6

t = 12

If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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At the 0.05 level of significance, we can conclude that those joining Weight Reducers International will lose less than 10 pounds on average. The p-value of 0.0057 indicates strong evidence against the null hypothesis.

To determine if we can conclude that those joining Weight Reducers International will lose less than 10 pounds on average, we can conduct a hypothesis test. Here's the step-by-step process:

Step 1: State the null and alternative hypotheses:

Null hypothesis (H0): The average weight loss for those joining Weight Reducers International is equal to 10 pounds.

Alternative hypothesis (Ha): The average weight loss for those joining Weight Reducers International is less than 10 pounds.

Step 2: Set the significance level:

The significance level (α) is given as 0.05.

Step 3: Compute the test statistic:

We will use the z-test since the sample size is large (n > 30) and the population standard deviation (σ) is known. The test statistic formula is: z = (x - μ) / (σ / √n), where x  is the sample mean, μ is the hypothesized population mean, σ is the population standard deviation, and n is the sample size.

Given:

Sample mean (x) = 9 pounds

Hypothesized population mean (μ) = 10 pounds

Population standard deviation (σ) = 2.8 pounds

Sample size (n) = 50

Calculating the test statistic:

z = (9 - 10) / (2.8 / √50) = -1 / (2.8 / 7.07) = -1 / 0.396 = -2.53 (rounded to two decimal places)

Step 4: Determine the critical value:

Since the alternative hypothesis is one-tailed (less than), we need to find the critical value for a one-tailed test at a significance level of 0.05. Using a standard normal distribution table or calculator, the critical value at α = 0.05 is approximately -1.645.

Step 5: Compare the test statistic with the critical value:

The test statistic (-2.53) is smaller than the critical value (-1.645), indicating that it falls in the rejection region.

Step 6: Calculate the p-value:

The p-value is the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value, assuming the null hypothesis is true. Using a standard normal distribution table or calculator, the p-value corresponding to a test statistic of -2.53 is approximately 0.0057.

Step 7: Make a decision:

Since the p-value (0.0057) is less than the significance level (0.05), we reject the null hypothesis.

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Answer:

0,0

Step-by-step explanation:

See the image below:)

Answer:

The probability of tossing a fair coin and it landing on heads 8 times in a row is (1/2)^8 = 1/256. This means that there is a 1 in 256 chance that a fair coin will land on heads 8 times in a row. The probability of an event can be calculated by taking the number of favorable outcomes and dividing it by the number of possible outcomes. In this case, there is only one favorable outcome (tossing a heads 8 times in a row) and two possible outcomes for each toss (heads or tails), so the probability is 1/2^8 = 1/256.

Step-by-step explanation:

Answer:

it should be 0.04percent.

Utilizando los dos puntos dados, veremos que la relacion lineal es:

Una ecuación lineal se escribe como:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Sí sabemos que una linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente va a ser:

a = (y₂ - y₁)/(x₂ - x₁).

Aca tenemos los dos puntos:

(20km, $190)

(25 km, $242)

Entonces la pendiente será:

a = ($242 - $190)/(25km - 20km) = $10.4 /km

y = ($10.4 /km)*x + b

Para obtener el valor de b, usamos uno de los puntos. Evaluando en x = 20km deberiamos obtener y = $190, entonces:

$190  =  ($10.4 /km)*20km + b

$190 = $208 + b

$190 - $208 = b = -$18

Entonces la ecuación es:

y = ($10.4 /km)*x -$18

B) La tarifa minima es lo que obtenemos con x = 1 km, entonces es:

y =  ($10.4 /km)*1 km - $18 = -$7.6

Notar que da un valor negativo, lo que indica que la relación quizas no es lineal.

C) La cuota por kilometro es la pendiente de la relación lineal, en este caso será: $10.4 /km.

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Answer:

Option B : Length × Width × Height

- How did you know it's option B ?

-------------HappY LearninG <3 ----------

Answer:length × width × height

Step-by-step explanation:

A random variable is a variable that has a single numerical value, determined by chance, for each outcome of a procedure.

A random variable is defined as a variable that has posses a single numerical value, and determined for each outcome of an event. That is a variable whose value is either unknown or a function that assigns values to each of an experiment's outcomes. It can be either discrete (having specific values) or continuous (any value in a continuous range). Generally, random variables are represented by capital letters for example, X and Y. For example consider the tossing of coin event, then the values Heads = 0 and Tails= 1 and we have a Random Variable "X". Hence, required answer is random variable.

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Complete question:

a _______ variable is a variable that has a single numerical value, determined bychance, for each outcome of a procedure.

Answer:

17.2 feet

Step-by-step explanation:

The length of the ladder is 20.4 feet.

Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.

Given that, the angle of elevation of the ladder is 73° when the bottom of the ladder is 15 feet from the side of the house.

Let the height of side of a house be x.

Now, tan73°=x/15

x/15=0.9192

x=0.9192×15

x=13.8 feet

Let the length of the ladder be y.

y²=15²+13.8²

y²=415.44

y=√415.44

y=20.4 feet

Therefore, the length of the ladder is 20.4 feet.

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Therefore, the equivalent expression to \(9^2\) is 81.

To solve an equation, you need to isolate the variable on one side of the equation, typically the left side, and simplify the other side until you are left with an expression that has only the variable you are trying to solve for.

Here are the general steps to solve an equation:

Start by simplifying both sides of the equation as much as possible. This may involve distributing or combining like terms.

Get all terms with the variable you are solving for on one side of the equation. To do this, you can add or subtract terms from both sides of the equation. For example, if you have the equation 2x + 5 = 9, you can subtract 5 from both sides to get 2x = 4.

Isolate the variable by dividing both sides of the equation by its coefficient. In the above example, you can divide both sides by 2 to get x = 2.

Check your solution by plugging it back into the original equation and verifying that both sides of the equation are equal.

\(a^m/a^n = a^{(m-n)}\)

to simplify the expression.

The expression \(9^2\) means 9 multiplied by itself 2 times:

\(9^2 = 9 * 9\)

Using the laws of exponents, we can rewrite this expression as:

\(9^2 = 9^{(1+1)} (since 2 = 1 + 1)\)

Then, using the rule that \(a^{(m+n)} = a^m * a^n\), we have:

\(9^2 = 9^1 *9^1\)

Finally, using the fact that. \(a^1 = a\) for any value of a, we get:

We can use the rule of exponents that states:

\(9^2 = 9 * 9 = 81\)

Therefore, the equivalent expression to \(9^2\) is 81

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Answer:

$47.50

Step-by-step explanation:

75 times 30 is 2,250, so then we put back the decimal and its 22.50, add that to 25.00, your answer is 47.50