i need the answer pls

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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a) The point estimate of the proportion of triathletes who suffered a training-related overuse injury during the past year is approximately 0.5364. b) The approximate 90% confidence interval for the proportion of triathletes who suffered a training-related overuse injury during the past year is (0.4970, 0.5758).  c) The random sampling assumption cannot be determined without additional information about the survey methodology and sampling process.

a) To obtain a point estimate of p, we divide the number of triathletes who suffered a training-related overuse injury (177) by the total number of respondents (330):

Point estimate of p = 177/330

≈ 0.5364

Therefore, the point estimate of p is approximately 0.5364.

b) To find an approximate 90% confidence interval for p, we can use the formula for the confidence interval of a proportion:

Confidence interval = p ± z * √((p(1-p))/n)

where:

p is the sample proportion (0.5364),

z is the z-score corresponding to the desired confidence level (90% corresponds to a z-score of approximately 1.645),

n is the sample size (330).

Substituting the values into the formula:

Confidence interval ≈ 0.5364 ± 1.645 * √((0.5364*(1-0.5364))/330)

Calculating the confidence interval:

Confidence interval ≈ 0.5364 ± 1.645 * √(0.2505/330)

Confidence interval ≈ 0.5364 ± 1.645 * 0.0239

Confidence interval ≈ 0.5364 ± 0.0394

Confidence interval ≈ (0.4970, 0.5758)

Therefore, the approximate 90% confidence interval for p is (0.4970, 0.5758).

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To begin with, let's recall the definition of a one-to-one function. A function f: A → B is one-to-one if every element in A is mapped to a unique element in B. In other words, no two distinct elements in A are mapped to the same element in B.
Now, let's assume that f is one-to-one and even. This means that f(-x) = f(x) for all x in R. To prove that f cannot be both one-to-one and even, we will use a proof by contradiction. Suppose f is both one-to-one and even. Then, for any x and y in R, if f(x) = f(y), we must have x = y. Now, let's consider the case when x and y are negative numbers such that x ≠ y. Since f is even, we have f(-x) = f(x) and f(-y) = f(y). However, since f is one-to-one, we cannot have f(-x) = f(-y) because x and y are distinct.Therefore, f cannot be both one-to-one and even. Alternatively, we could use the contrapositive of the statement. The contrapositive of "f one-to-one => f not even" is "f even => f not one-to-one". This means that if f is even, then it cannot be one-to-one. This is true because, as we showed earlier, if f is even, there exist distinct negative numbers that are mapped to the same value, which violates the one-to-one property. In conclusion, we have shown that if a function f is one-to-one, then it cannot be even, using either a proof by contradiction or the contrapositive of the statement.

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Answer:

2g+7

Step-by-step explanation:

g represents gails age

2 times gails age

2g

7 more than is addition

2g+7

Answer:2.5 cups

Step-by-step explanation:

Given

Rosanne runs 6 miles in an hour

If she drinks 0.5 cups of water every  \(\frac{1}{3}\)  of an hour

So in 1 hour Rosanne drinks 1.5 cups

So, for 6 miles Rosanne drinks 1.5 cups

i.e. For   \(1\ mile \quad \equiv \quad \frac{1}{4}\ \text{cup}\)

for    \(10\ mile\quad \equiv \quad \frac{10}{4}\ \text{cup}\)

\(=2.5\ \text{cup}\)

Answer:

2.5

Step-by-step explanation:

The negative square root of 90 to the nearest integer is -10.

A number's square root is a value that, when multiplied by itself, yields the number.

Given to find the value of the negative square root of 90.

The expression in mathematical form is:

-√90

= -9.5

≈ -10

Hence, the negative square root of 90 to the nearest integer is -10.

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4928 rooms / 112 floors

2464 rooms / 56 floors

---Really, all we are doing here is simplifying a fraction until we have a 1 in the denominator

44 rooms / 1 floor

Hope this helps!

Answer:

y = -x² + 5

Step-by-step explanation:

If x = -1

y = -(-1²) + 5

y = 4

If x = 0

y = 0 + 5

y = 5

If x = 1

y = -1² + 5

y = 4

If x = 2

y = -2² + 5

y = 1

If x = 3

y = -3² + 5

y = -4

Hope this helps!

Pls like and mark as brainliest!

Using the exchange rate, Amy converted $75 into pounds.

The exchange rate is the unit at which one currency is changed to or converted into another.

The exchange rate converts a country's currency into another.

The exchange rate shows the worth of one currency against another.

Exchange rate = $1: £0.54

Amount received = £40.50

The dollars converted into pounds = $75 (£40.50/£0.54)

Check:

$75 to pounds = £40.50 ($75 x £0.54)

Thus, we can conclude that more dollars buy fewer Australian dollars at this exchange rate.

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The equation of sphere that passes through the point (6, -2, 3) and has centre (-1, 2, 1) is given by \($(x + 1)^2 + (y - 2)^2 + (z - 1)^2 = 69$\).

A sphere is defined by a centre point and a radius.

Let the radius be r and centre be c (c1, c2, c3).

Then, the equation of sphere is given by :

\($(x - c_1)^2 + (y - c_2)^2 + (z - c_3)^2 = r^2$\)

Given :

Centre (c1, c2, c3) = (-1, 2, 1) and point (x, y, z) = (6, -2, 3)

Equation of sphere is :

\($(x - c_1)^2 + (y - c_2)^2 + (z - c_3)^2 = r^2$\)

Substituting the given values, we get :

\((6 - (-1))^2 + ((-2) - 2)^2 + (3 - 1)^2 = r^2$ \\$(7)^2 + (-4)^2 + (2)^2 = r^2$ \\$49 + 16 + 4 = r^2$ \\$69 = r^2$\)

Thus, the equation of sphere is :

\($(x - c_1)^2 + (y - c_2)^2 + (z - c_3)^2 = 69$\)

Therefore, the equation of sphere that passes through the point (6, -2, 3) and has centre (-1, 2, 1) is given by \($(x + 1)^2 + (y - 2)^2 + (z - 1)^2 = 69$\).

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There are 12 different possibilities for a president. Therefore, there are 11 possibilities for vice-president.

We calculate this combination when we multiply 12 x 11:

12 x 11 = 132

Therefore, there are 132 different ways to make combinations.

Answer:

Step 1: Lets say 'x' is the total wage. Then we subtract 1/4 from the total wages.

=> 4x/4 - x/4

=> 3x/4 = Remaining Wages Left.

Step 2: Subtract 20% from 3x/4.

3x/4 - x/5 = Remaining Wages Left.                                 [20% = 20x/100 = x/5]

=> 11x/20 = Remaining Wages Left.

Step 3: Subtract 0.15x from his remaining wages left.

=> 11x/20 - 3x/20 = Remaining Wages Left.                     [0.15 = 15/100 = 3/20]

=> 8x/20 = Remaining Wages Left.

Step 4: Simplify

8x/20 = 2x/5 = 0.40x

=> Simon has saved 2x/5 of the wages.

Please give me brainliest :)

Answer:

Step-by-step explanation:

The total is 100% or 1.

Spent:

Left:

Answer:

y=4/5x-3.5

Step-by-step explanation:

You should keep the Y and X as variables in your slope-intercept equation. The slope-intercept formula is y=mx+b. Your M would be your slope which is rise over run. Based on the points, you go up four and right five. Your b is where the line intersects the Y-axis. You're welcome.

The height of the paint mark when the bicycle has traveled for 14 seconds after crossing the line is approximately 55.92 inches.

First, we need to find the distance traveled by the bicycle in 14 seconds. We can use the formula:

distance = rate x time

The rate of the bicycle is the same as the speed of the front wheel, which is equal to the circumference of the wheel. The circumference of a circle is given by the formula:

circumference = 2 x pi x radius

where pi is approximately 3.14 and the radius of the wheel is half its diameter, or 12 inches. Therefore, the circumference of the front wheel is:

circumference = 2 x 3.14 x 12 = 75.36 inches

The rate of the bicycle is therefore:

rate = 75.36 inches/revolutions

Since the front wheel makes one revolution every six seconds, the rate of the bicycle is:

rate = 75.36 inches/6 seconds = 12.56 inches/second

The distance traveled by the bicycle in 14 seconds is:

distance = rate x time = 12.56 inches/second x 14 seconds = 175.84 inches

When the paint mark is made on the ground, it will be at the lowest point of the front wheel. After the bicycle has traveled for 14 seconds, the front wheel will have made 14/6 = 2.33 revolutions. Therefore, the height of the paint mark above the ground is:

height = 2.33 x 24 inches = 55.92 inches

So the height of the paint mark when the bicycle has traveled for 14 seconds after crossing the line is approximately 55.92 inches.

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Answer: 152 days

Step-by-step explanation:

Answer:

152 days

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

The validity of measurement or data refers to the accuracy of the measurement instrument or data-acquisition tool. The answer is option(e).

The constructive nature of perception is best described as the influence of expectations on sense-perception. The answer is option(a).

1) The validity of measurement or data refers to the accuracy of the measurement instrument or data-acquisition tool. It is a basic assessment of the instrument's accuracy, including whether it can properly and appropriately evaluate what it was intended to evaluate.

2) Our experiences can affect how we interpret sensory data, causing us to see things that aren't there or failing to see things that are. As a result, perception is a two-way street in which sensory input is combined with prior experiences to create our understanding of the world around us.

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Complete Question:

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by \(x(t) = -4t^2 + 20t + 60\), where is the number of hours since 10 AM:

a) Find an expression for the revenue per hour as a function of x, R(x)

b) Find and simplify, R(x(t))

Answer:

a) R(x) = 2x

b) \(R(x(t)) = -8t^2 + 40t + 120\)

Step-by-step explanation:

a) This is a very trivial exercise.

\(x(t) = -4t^2 + 20t + 60\)

The number of hot dogs sold per hour is given by x

Charge per hot dog = $2

An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x

b) \(x(t) = -4t^2 + 20t + 60\)

R(x(t)) = 2(x(t))

\(R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120\)

Answer:

-17

Step-by-step explanation:

Answer:

GCF, Greatest Common Factor

Step-by-step explanation:

Hope this helped

Answer: 26

Step-by-step explanation:

26 + 26 = 52

52 + 3 = 55

55 divided by 5 = 11

Hope this helped : )

Step-by-step explanation:

Discriminant : k² - 4(12)(27) < 0

So k² - 1296 < 0, -36 < k < 36.

Answer:

If a quadratic has nonreal roots, then the discriminant .  b^2 - 4ac

Plug in the values for b, a, and c into this equation to get .  k^2-4 *12*27 < 0

Rearrange to get .  k^2 < *12*27

Now factorize 4*12*27 and solve to get - 36 < k<26

Step-by-step explanation:

hope this help

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Greetings from Brasil...

We need to use the Cosine Law in Any Triangle, so we can use Heron's formula.

AC² = AB² + BC² - 2.AB.BC.COS B

AC² = 11² + 9² - 2.11.9.COS 63

AC ≈ 10,63

Heron's Formula:

Area = √[P.(P - AB).(P - BC).(P - AC)]

where P = (AB + BC + AC)/2

P = (11 + 9 + 10,63)/2 ⇒ P ≈ 15,31

Area = √[15,31.(15,31 - 11).(15,31 - 9).(15,31 - 10,63)]

Answer:

(x+1)(2x+3)=0 is the answer

Step-by-step explanation:

2x²+5x=-3

2x²+5x+3=0

2x²+3x+2x+3=0

x(2x+3)+1(2x+3)=0

(x+1)(2x+3)=0

i hope this will help you :)

Answer:

0.012 millimeters

Step-by-step explanation:

First, we solve for  0.000004 m to mm = 0.004 mm x 3 = 0.012 millimeters

Answer:

a₁ = 7

r = 3

a_n = a_1(rⁿ⁻¹)

a₁₀ = 7(3¹⁰⁻¹

a₁₀ = 7(3⁹)

a₁₀ = 7(19683)

a₁₀ = 137 781

Step-by-step explanation:

With an income of $57,890, you need to pay $12,735.8 in taxes.

What is mean by proportion?

A proportion is a fraction of a total amount, in which two ratios are set equal to each other.

Given that;

For incomes from $38,701 up to $82,500, you need to pay 22% in taxes.

And, No federal taxes up to $9,525, 12% for income from $9,526 up to $38,700, 22% for income from $38,701 up to $82,500.

Now,

An income of $57,890 is in this range, hence the amount paid is given by;

Amount paid = 57890 x 22%

                    = 57890 x 0.22

                    = $12,735.8.

So, Paid amount for the tax = $12,735.8

Thus, With an income of $57,890, you need to pay $12,735.8 in taxes.

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This will give you the MSE value for the new model, which excludes the statistically insignificant independent variable.

To run the regression model in RStudio and calculate the Mean Squared Error (MSE), we need to perform the following steps:

1. Import the data into RStudio. Let's assume the data is stored in a data frame called "data".

```R

data <- data.frame(

 Graduate = c(1, 2, 3, 4, 5, 6, 7, 8, 9, 10),

 StartingSalary = c(40, 46, 54, 39, 37, 38, 48, 52, 60, 34),

 GPA = c(3.2, 3.5, 3.6, 2.8, 2.9, 3.0, 3.4, 3.7, 3.9, 2.8),

 Activities = c(4, 5, 2, 4, 3, 4, 5, 6, 6, 1)

)

```

2. Run the regression model using the lm() function in R. We will use the StartingSalary as the dependent variable and GPA and Activities as independent variables.

```R

model <- lm(StartingSalary ~ GPA + Activities, data = data)

```

3. Calculate the Mean Squared Error (MSE) of the model. The MSE is obtained by dividing the sum of squared residuals by the number of observations.

```R

mse <- sum(model$residuals^2) / length(model$residuals)

mse

```

This will give you the MSE value of the model.

To run the regression model again without including the statistically insignificant independent variable, you would need to determine which variable is statistically insignificant. You can do this by examining the p-values of the coefficients in the model summary.

```R

summary(model)

```

Look for the p-values associated with each coefficient. If a p-value is greater than the desired significance level (e.g., 0.05), it indicates that the corresponding independent variable is not statistically significant.

Suppose, for example, the Activities variable is found to be statistically insignificant. In that case, you can run the regression model again without including it and calculate the MSE for this new model.

```R

new_model <- lm(StartingSalary ~ GPA, data = data)

mse_new <- sum(new_model$residuals^2) / length(new_model$residuals)

mse_new

```This will give you the MSE value for the new model, which excludes the statistically insignificant independent variable.

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Answer:

That will be 7

Step-by-step explanation:

The equation that represents the width of the rectangle will be 2(L + W) = 80. And its width is 28 inches.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The perimeter of a rectangle is 80 inches. The length of the rectangle is 12 inches. Then the equation is given as,

2(L + W) = 80

2(12 + W) = 80

12 + W = 40

W = 40 - 12

W = 28 inches

The equation that represents the width of the rectangle will be 2(L + W) = 80.

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The guy above is no help, but I sure am!

------------------------------------------------------------

AB = 8√2

BD = 8

\((8\sqrt{2})^2 - (8)^2 = (\overline{\rm BD})^2\)The required lengths are \(\overline{\rm AB}\) = \(8\sqrt{2}\) units and \(\overline{\rm BD} = 8\) units, respectively.

What is the Pythagoras theorem?

It is also known as the Pythagorean theorem. It states that the square of the hypotenuse length equals the sum of squares of lengths of the other two sides in a right-angled triangle.

In the given question, ΔABC, ΔABD, and ΔDBC are right-angled triangles. It is also given that \(\overline{\rm DC} = \overline{\rm AD} = 8\) units.

⇒ \(\overline{\rm AC} = \overline{\rm DC} + \overline{\rm AD} = 8 + 8 =16\) units.

In ΔABC, from Trigonometry,

sin(∠BAC) = \(\frac{Opposite}{hypotenuse}\) = \(\frac{\overline{\rm AB} }{\overline{\rm AC}}\)

⇒ sin(45°) = \(\frac{\overline{\rm AB} }{16}\)

⇒ \(\frac{1 }{\sqrt{2}} = \frac{\overline{\rm AB} }{16}\)

⇒ \(\overline{\rm AB} = 16/\sqrt{2} = 8\sqrt{2}\) units.

Again in ΔABC, from Trigonometry,

sin(∠BCA) = \(\frac{Opposite}{hypotenuse}\) = \(\frac{\overline{\rm BC} }{\overline{\rm AC}}\)

⇒ sin(45°) = \(\frac{\overline{\rm BC} }{16}\)

⇒ \(\frac{1 }{\sqrt{2}} = \frac{\overline{\rm BC} }{16}\)

⇒ \(\overline{\rm BC} = 16/\sqrt{2} = 8\sqrt{2}\) units.

In ΔBCD, from Pythagoras theorem,

\((\overline{\rm BC})^2 = (\overline{\rm CD})^2 + (\overline{\rm BD})^2\)

⇒ \((8\sqrt{2})^2 - (8)^2 = (\overline{\rm BD})^2\)

⇒ \((\overline{\rm BD})^2 = (64\times2) - 64 = 128 - 64 =64\)

⇒\((\overline{\rm BD}) = \sqrt{64} = 8 units.\)

∴ The required line segment lengths are  \(\overline{\rm AB}\) = \(8\sqrt{2}\) units and \(\overline{\rm BD} = 8\) units, respectively.

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