Janie has $48 in her checking account. If she writes a check for $19, find her new account balance.

The estimated probability of finding at most 50 acceptable circuits in a batch of 60 is approximately 0.6591.

To estimate the probability of finding at most 50 acceptable circuits in a batch of 60 from a certain factory, where the probability of passing the quality test is (p = 0.8) and the outcomes of the tests are mutually independent, we can use the Central Limit Theorem (CLT).

The CLT states that for a large enough sample size, the distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Let's denote (X) as the number of acceptable circuits in a batch of 60. Since each circuit passes the test with a probability of 0.8, we can model (X) as a binomial random variable with parameters (n = 60) and (p = 0.8).

To estimate the probability of finding at most 50 acceptable circuits, we can calculate the cumulative probability using the normal approximation to the binomial distribution.

Since the sample size is large \((\(n = 60\))\), we can approximate the distribution of (X) as a normal distribution with mean \(\(\mu = np = 60 \times 0.8 = 48\)\) and standard deviation \(\(\sigma = \sqrt{np(1-p)}\) = \(\sqrt{60 \times 0.8 \times 0.2} \approx 4.90\).\)

Now, we want to find the probability of\(\(P(X \leq 50)\)\). We can standardize the value using the z-score:

\(\[P(X \leq 50) = P\left(\frac{X - \mu}{\sigma} \leq \frac{50 - 48}{4.90}\right) = P(Z \leq 0.41)\]\)

Using the standard normal distribution table or calculator, we can find that \(\(P(Z \leq 0.41) \approx 0.6591\).\)

Therefore, the estimated probability of finding at most 50 acceptable circuits in a batch of 60 is approximately 0.6591.

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Answer:

Answer: 67

18+5x2^3-7+16

18+5x8-7+16

18+40-7+16

67

The relationship between the x and y-values and not just the differences in the y-values. A linear function will have a constant rate of change, but a constant rate of change does not guarantee linearity.

Willis made a mistake in his reasoning by assuming that a function with a constant rate of change is necessarily linear. While it is true that linear functions have a constant rate of change, the converse is not always true. In other words, just because a function has a constant rate of change does not mean it is linear.

In this case, Willis calculated the differences in the y-values and observed that they were increasing by 4 each time: 6, 10, and 14. He incorrectly concluded that since these differences were increasing by a constant amount, the function must have a constant rate of change and therefore be linear. However, this is not a valid assumption.

There are non-linear functions that can exhibit a constant difference in their y-values. For example, a quadratic function such as y = x^2 will have a constant difference in its y-values for consecutive x-values, but it is not a linear function.To determine if a function is linear or non-linear, it is necessary to examine

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Answer: $5,291.

Step-by-step explanation:

We can just use the formula I=p*r*t or I=prt.

We know that p (principal)=72,150

We know that interest rate as a decimal would be 0.11 (11/100)

and the time in years is 8/12 years, or 2/3 years,

Now to solve

72,150x0.11x(2/3)=5,291.

Answer: 2sw or 2ab

Step-by-step explanation:

Answer:

A complementary angle are angles that add up to 90 degrees.  For example, a 30 degree angle and a 60 degree angle are complementary angles because 30+60=90

Step-by-step explanation:

Answer:

Complementary angles are angles that add to a total of 90 degrees. An example of complementary angles are 44 and 46 degrees, because they sum to 90! Hope this helps you out!

Answer:

Raul made 8 servings of fruit salad

Step-by-step explanation:

Here, we want to get the number of servings made by Raul

From the question;

1 serving = 1/2 cup

x servings = 4 cups

Thus;

4 * 1 = x * 1/2

x = 4/(1/2)

x = 8 servings

Answer:

a = 18 units

b = 9√3 units

Step-by-step explanation:

By applying sine rule in the given triangle,

sin(30°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

\(\frac{1}{2}=\frac{9}{a}\)

a = 18 units

Now apply cosine rule in the given triangle,

cos(30°) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

\(\frac{\sqrt{3}}{2}=\frac{b}{a}\)

\(\frac{\sqrt{3}}{2}=\frac{b}{18}\)

b = \(\frac{18\sqrt{3} }{2}\)

b = \(9\sqrt{3}\) units

The expression that would find the percent error is:

(38 - 28) / 38 x 100 = 26%

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Sameera predicted that she would sell 38 blankets.

Actual sold 28 blankets.

Now,

Percentage error.

= (38 - 28) / 38 x 100

= 10/38 x 100

= 26%

Thus,

The percentage error is 26%.

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The flowerpot goes approximately 0.056448 meters (or 5.6448 cm) above the top of the window.

To determine the height above the window top that the flowerpot reaches, we can use the concept of projectile motion. Since the flowerpot goes up and then down, we can assume it follows a parabolic trajectory.

Let's break down the problem and calculate the height:

Given:

Total time in view (t): 0.48 s

Height of the window (H): 2.12 m

Since the flowerpot goes up and then down, the total time can be divided into two equal halves: the time going up and the time going down. Thus, each half of the time will be t/2 = 0.48 s / 2 = 0.24 s.

We can use the formula for vertical displacement in projectile motion:

Vertical displacement (Δy) = (1/2) × acceleration (a) × time (t)²

Since the acceleration due to gravity (g) acts downwards, we have:

Acceleration (a) = -g, where g ≈ 9.8 m/s²

Now let's calculate the height above the window top:

Calculate the displacement while going up:

Δ\(y_{up}\) = (1/2) × (-g) × (t/2)²

Δ\(y_{up}\) = (1/2) × (-9.8 m/s²) × (0.24 s)²

Calculate the displacement while going down:

Δ\(y_{down}\) = (1/2) × (-g) × (t/2)²

Δ\(y_{down}\) = (1/2) × (-9.8 m/s²) × (0.24 s)²

Calculate the total height above the window top:

Height above window top = Δ\(y_{up}\) + Δ\(y_{down}\)

Now let's substitute the values into the equations and calculate the height:

Δ\(y_{up}\)  = (1/2) × (-9.8 m/s²) × (0.24 s)²

Δ\(y_{up}\)  = -0.028224 m

Δ\(y_{down}\) = (1/2) × (-9.8 m/s²) × (0.24 s)²

Δ\(y_{down}\) = -0.028224 m

Height above window top = Δ\(y_{up}\)  + Δ\(y_{down}\)

Height above window top = -0.028224 m + (-0.028224 m)

Height above window top = -0.056448 m

Therefore, the flowerpot goes approximately 0.056448 meters (or 5.6448 cm) above the top of the window.

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Answer:

\(22^{\circ}\)

Step-by-step explanation:

Line \(\overline{PM}\) is a diameter of the circle because it passes through the circle's center O. Therefore, arc \(\widehat{PLM}\) must be 180 degrees, as these are 360 degree in a circle.

We can then find the measure of arc \(\widehat{LM}\):

\(\widehat{LP}+\widehat{LM}=180^{\circ},\\92^{\circ}+\widehat{LM}=180^{\circ},\\\widehat{LM}=88^{\circ}\)

Arc \(\widehat{LM}\) is formed by angle \(\angle LPM\). Define an inscribed angle by an angle with a point on the circle creating an arc on the circumference of the circle. The measure of an inscribed angle is exactly half of the measure of the arc it forms.

Therefore, the measure of \(\angle LPM\) must be:

\(m\angle LPM=\frac{88}{2}=44^{\circ}\)

Similarly, the measure of \(\angle LNP\) must be:

\(m\angle LNP=\frac{92}{2}=46^{\circ}\)

Angles \(\angle LPM\) and \(\angle MPN\) form angle \(\angle LPN\), which is one of the three angles in \(\triangle LPN\). Since the sum of the interior angles of a triangle add up to 180 degrees, we have:

\((\angle MPN+\angle LPM)+\angl+ PLN+\angle LNP=180^{\circ},\\\angle MPN+44+46+68=180,\\\angle MPN=180-44-46-68,\\\angle MPN=\boxed{22^{\circ}}\)

Answer: y=-8x-14

Step-by-step explanation:

See attached picture

Answer:

\(x=\sqrt{33}\)

Step-by-step explanation:

We can use the Pythagorean theorem to solve this

in the 11, 13 triangle,

\(11^2 + h^2 = 13^2\\121 + h^2 = 169\\h^2 = 48\\h = 4\sqrt{3}\)

to find x

\(x^2 + (4\sqrt{3} )^2=9^2\\x^2 + 48 = 81\\x^2 = 33\\x = \sqrt{33}\)

The graph is shown below

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

As, the equation x² + y² < 25 represents equation of circle.

So, the graph will be of the form circle.

and,  y² <6x is the equation to represent parabola

So, the graph will represent a parabola.

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Answer:

21b + 9

Step-by-step explanation:

7b(2 + 7b) + (7b + 7)

7b+7b+7b=21b

2+7=9

21b + 9

The values of x when the graph of f(x) = 0 are 8

From the question, we have the a graph that can be used in our computation:

This means the graph represents the given parameter

To calculate the values of x when f(x) = 0, we simply determine the x-coordinate when the line of the graph cross the x-axis

In this case, the x-coordinate is

x = 8

Note that this represents the x-intercept

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Answer:

+ ( + 9) - (+ 6)

= 9 - 6

= 3

espero que ayude

Step-by-step explanation:

Hello,

If the question is simplify then

we suppose x not equal to 5 and x not equal to -5

\(\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\=\dfrac{(x-5)^2}{(x-5)(x+5)} \\\\=\dfrac{x-5}{x+5} \\\\\)

else

if the question is to find the euclidian 's quotient then

\(\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\= 1 + \dfrac{-10x+30}{x^2-25} \\\\=1-\frac{10}{x+5} \\\)

euclian's quotient is 1

remainder is -10/(x+5)

The equation correctly shows the multiplication of the means and extremes in the proportion is option C: 7.2 x 21.6 = 28.8 x 9.6.

The multiplication of the means and extremes in a proportion follows the rule:

mean1 x mean2 = extreme1 x extreme2

where mean1 and mean2 are the two middle terms of the proportion, and extreme1 and extreme2 are the first and last terms, respectively.

In the proportion 7.2/9.6 = 21.6/28.8, the means are 9.6 and 21.6, and the extremes are 7.2 and 28.8. Therefore, we can use the above rule to set up the equation:

9.6 x 21.6 = 7.2 x 28.8

Simplifying this equation gives:

207.36 = 207.36

which is a true statement.

Therefore, the correct answer is option C: 7.2 x 21.6 = 28.8 x 9.6.

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Answer:

I think it is 24 but I don't know the rest sorry 乁( •_• )ㄏ

Answer:

Step-by-step explanation:

Girls Basketball = x

Girls Soccer = x + 3

Total = 51

x + x + 3 = 51        Combine like terms

2x + 3 = 51            Subtract 3 from both sides

     - 3   - 3

2x = 48                 Divide by 2

2x/2 = 48/2

x = 24

The basketball team has 24 players

The soccer team has       27

Answer:

Answer:

10/16

Think about it:  5 / 8 times 2 equals 10/16

Step-by-step explanation:

Answer:

x=90

Step-by-step explanation:

x/10-4=5

x/10=9

x=9*10

x=90

The value of x is 90.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x/10 - 4 = 5.

Now, solve for x

Add 4 both side

x/10 - 4 + 4 = 5 + 4

x/10  = 9

Now, Multiply both side by 10.

10x/10 = 9 x 10

x= 90

Hence, the value of x is 90.

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When a child is confronted in front of his parents about stealing cookies from Jar, the function used is substituting function.

The substituting function replaces verbal communication. The primary role of bodily structure in substituting function is Nonverbal communication includes substituting.

Thus, the above statement is a example of nonverbal communication's replacing function, as the child is confronted by his body language in front of a parent when he steals the cookies.

Communication is a continual process that consists primarily of three components: sender, message, and recipient.

verbal communication:

Oral communication is communication that occurs by verbal, verbal, or written communication that delivers or conveys a message to others. The use of language to convey information vocally or in sign language is known as verbal communication.

non- verbal communication:

It can happen with signs, symbols, colors, touches, body parts, or face features. Insignificant communication is the use of body language, facial expressions, and body language to send information to another. It can be used both purposefully and unintentionally. For example, when you hear an idea or a piece of new or exciting information, you may smile.

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Answer:

Thats not a proper question

Step-by-step explanation:

In light of this, Cylinder radius = r = 3.3 metres, Cylinder height = h = 6 metres. We need to calculate the cylinder's estimated volume in cubic feet. So, the approximate volume of the cylinder in cubic feet is 7237.775 ft³.

We now know that the formula for cylinder volume is V = πr²h , where V is the volume, r is the radius, h is the height, and π is a constant equal to 3.14.

Now, we can substitute the given values in the formula and solve for the volume of the cylinder. V = πr²h = 3.14 × (3.3 meters)² × (6 meters) ...[Substitute r = 3.3 meters, h = 6 meters and π = 3.14 in the above formula]V = 204.828 m³ ...[Solve using calculator]Now, we need to convert cubic meters into cubic feet.

We know that, 1 meter = 3.28084 feetSo, 1 meter³ = (3.28084 feet)³ = 35.3147 cubic feet. Therefore, 1 m³ = 35.3147 ft³.

Now, we can use this conversion factor to convert the volume of cylinder from cubic meters to cubic feet.V = 204.828 m³ × (35.3147 ft³/m³) = 7237.775 ft³ (approx).

Therefore, the approximate volume of the cylinder in cubic feet is 7237.775 ft³.

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Answer:

$117.60

Step-by-step explanation:

Do this:

$864              1              $864

_____    x   ____   =    ______

   1                  5                 5

Then divide $864 by 5

Then take $172.80 - $55.20

That will give you your answer.

Answer:

$636

Step-by-step explanation:

864/5=172.80 so he paid 172.80 dollars for the phone bill. He then has 691.20 dollars left. he then gives his mother $55.20 and is left with $636.

Answer:

3

Step-by-step explanation:

15+3=18

Answer:

Step-by-step explanation:

The simplest form is 78.