Lucy and Zaki each throw a ball at a target. an image What is the probability that both Lucy and Zaki miss the target?

The fraction that will be equivalent to 5/8 with a denominator of 16 is 10/16

From the question, we have the following parameters that can be used in our computation:

Fraction = 5/8

This fraction is to be converted to a fraction  with a denominator of 16

This is so because the scale only measures in 16ths

So, we have the following representation

Fraction = 5/8

When 8 is multiplied by 2, the result is 16

So, we multiply 5 and 8 by 16

This gives

Fraction = 10/16

Hence. the solution is 10/16

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You can compute amplitude as well, but this is quicker. There will be a reflection in the x axis, as shown by the negative sign before the number 2.

The maximum displacement or distance made by a point on a vibrating body or wave relative to its equilibrium location is known as the amplitude in physics. It is equivalent to one-half of the vibration path's length.

Amplitude:

[tex]Found right in the equation the first number:\\ y=-2-cos2(x+4)-1[/tex]

You can compute it as well, but this is quicker. There will be a reflection in the x axis, as shown by the negative sign before the number 2.

Period:

[tex]First find k in equation:\\ y=−2cos2−(x+4)−1[/tex]

Then use this equation:

[tex]period=2\pi /k\\period=2\pi /2\\period=\pi[/tex]

Phase Shift:

[tex]y=-2cos2(x+4)-1[/tex]

The graph will move 4 units to the left, according to this section of the equation.

Vertical Translation:

[tex]y=-2cos2(x+4)-1[/tex]

The -1 tells you that the graph will shift 1 unit down.

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Answer:

17 $

Step-by-step explanation:

let y  - total cost of a gift

x - price of the gift

the total cost of the gift is its price + 14% delivery, which can be written as:

y = x + 14% * x = x + 0.14x = 1.14 x

by making the substitution with the data from the task

19.38 = 1.14*x

x = 19.38/1.14 = 17

The probability of success and failure is the same in both cases.

Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment that has two possible outcomes.

Sample space for throwing (H, H), (H, T), (T, H), (T, T).

So, N(S) = 4.

P(S) = 2/4 = 1/2 and P(F) = 2/4 = 1/2.

The probability of success is [tex]\frac{1}{2}^{(745)}[/tex].

And the probability of loss is also [tex]\frac{1}{2}^{745}[/tex].

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A statement that describes the result of running the code segment is: the number 10 is displayed

The correct answer is an option (B)

In this question, we have been given the program code.

We need to select a correct statement that describes the result of running the code segment.

Consider the given code.

Start by setting n and sum to 0.

Add the value of n to sum. The first time, the value of n is 0, so sum remains 0.

Increment n by 1, so now the value of n is 1.

The Boolean condition (n = 5) is still false, so the loop will run again. Add 1 to sum (which is now 1), and then increment n (so n is now 2).

Repeat this three more times (while the value of n = 2, 3, and 4)

Increment n, so the value of n is now 5. Now the Boolean condition is true, so the loop stops.

Display sum is 10

Therefore, the result of running the code segment : the number 10 is displayed

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The complete question is:

Consider the following program code.

Which of the following best describes the result of running the program code?

A. The number 0 is displayed.

B. The number 10 is displayed.

C. The number 15 is displayed.

D. Nothing is displayed; the program results in an infinite loop

Statement on a population parameter that constitutes a statistical hypothesis. There's a chance it's true or not.

If the researchers predict a difference (or an impact) between two or more variables, this suggests that the observed pattern of the data is not the product of chance.

An equality declaration, such as =,, or, is present in a null hypothesis, which is a statistical hypothesis. A counterargument to the null hypothesis is an alternate hypothesis.  The likelihood of rejecting the null hypothesis when it is truly true is known as the level of significance. Error Type I is another name for it.

Determine the P-value for a Hypothesis Test

Find the P-value by choosing one of the following options: For a left-tailed test, P= (Area in left tail); For a right-tailed test, P= (Area in right tail); For a two-tailed test, P = 2. ( Area in tail of standardized test statistic)

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Answer:

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

Given parabola:

Convert the equation into vertex form y = a(x - h)² + k, where (h, k) is the vertex.

The vertex is ( - 4, 0).

The x-intercepts are the points with the y = 0, which as we see is same as the vertex:

Step-by-step explanation:

since triangles are congurent

4z- 32 = 36

z = 68/4

z= 17

6x - 29 = 115

6x = 144

x = 24

and u can find y by triangle property...... similarly.....I'm too lazy to do that

Answer:

[tex]\dfrac{2}{3}x \geq 250[/tex]

Step-by-step explanation:

Let x be the number of students in the senior class.

If two-thirds of the seniors bought prom tickets and a minimum number of 250 tickets needs to be sold, the inequality that models this scenario is:

[tex]\boxed{\dfrac{2}{3}x \geq 250}[/tex]

Solving the inequality:

[tex]\implies \dfrac{2}{3}x \geq 250[/tex]

[tex]\implies 2x \geq 250 \cdot 3[/tex]

[tex]\implies 2x \geq 750[/tex]

[tex]\implies x \geq 750 \div 2[/tex]

[tex]\implies x \geq 375[/tex]

Therefore, there must be at least 375 students in the senior class to ensure they sold enough tickets to keep the venue.

The equation of the parabola that passes through the points (1,4) and (2,2) would be y = (-4)(x - 1.5)² + 3.

What is a parabola?

A parabola is defined as a collection of points such that the distance to a fixed point (the focus) and a fixed straight line (the directrix) are equal. But it's probably easier to remember it as the U-shaped curved line created when a quadratic is graphed.

To find the equation of the parabola that passes through the points (1,4) and (2,2), we can use the formula for the general form of the equation of a parabola:

y = a(x - h)² + k

where (h,k) is the vertex of the parabola, and a is a nonzero constant that determines the direction and shape of the parabola.

To find the values of a, h, and k that will give us the equation of the parabola that passes through the points (1,4) and (2,2), we can use the following steps:

Find the coordinates of the vertex of the parabola. The vertex of the parabola is the point where the parabola changes direction. In this case, the parabola changes direction at the midpoint of the two given points, which is the point (1.5,3).

Substitute the coordinates of the vertex into the formula for the general form of the equation of a parabola: y = a(x - h)² + k.

Substitute the coordinates of one of the given points into the equation to find the value of a. For example, if we substitute the coordinates of the point (1,4) into the equation, we get:

4 = a(1 - 1.5)² + 3

4 - 3 = a(-0.5)²

1 = a(-0.25)

a = -4

Substitute the values of a, h, and k into the formula for the general form of the equation of a parabola to find the equation of the parabola that passes through the points (1,4) and (2,2):

y = (-4)(x - 1.5)² + 3

Hence, the equation of the parabola that passes through the points (1,4) and (2,2) would be y = (-4)(x - 1.5)² + 3.

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Answer: The number line that you really want to move is the right side. Then, at that point, the right choice is C.

What is a number line?

A number line alludes to a straight line in science that has numbers organized at customary stretches or divides along its width. A number line is frequently shown on a level plane and can be delayed toward any path.

On the off chance that you are at - 15 on the number line and you needed to push toward the positive numbers

The number line that you need to move in the right side. Then the correct option is C.

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Step-by-step explanation:

The maximum height will be 141.5 feet.

What is quadratic equation

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

The function will be f(t) = -16t² + 60t + 20

at ground f(t) = 0

So, 4t² - 15t - 5 = 0

t = (15+√305) / 8

t = 4.05sec.

The maximum height will be in 2.025 sec = 60 * 2.025 = 121.5 feet. + 20feet.

Hence the maximum height will be 141.5 feet.

Hence the value of k is 0.33.

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According to the given hypothesis, the experiment was conducted based on the observational study.

Hypothesis:

in statistics, the statement of expectation or prediction that will be tested by research is known as hypothesis.

Given,

Here we have a study was conducted to determine if drinking a cup of tea before bedtime helped with falling asleep faster. after randomly assigning 50 people to one group that received tea before bedtime and 50 other people to a group that did not receive tea before bedtime, the researcher then compared the amount of time it took for each person to fall asleep.

Now, we need to find the type of study used in the given study.

While we looking into the given question, we know that they researchers must study the group of 100 people sleeping patter.

Here the total amount is divided into two parts, the first group who is taken tea before bed and the second one is not.

Here the researchers observe the behavior of the people. So, these type of research fall under the observational study concept.

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The value of X is 22.

Value is regard that something is held to deserve,  the important worth or usefullness of something.

The calculation is as follows:

In the case of an isosceles trapezoid if there is any lower base angle is supplementary to any upper base angle.

So,  

6x + 2x + 4 = 180

8x + 4 = 180

8x = 176

x = 22

Therefore we can conclude that The value of X is 22.

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Using sum of infinite series in a geometric progression, the total number of jumps is 40 inches

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term.

The jumps are infinite and to find the total distance, we can use the equation given;

S = a(1 / 1 - r)

The first term (a) = 20 in

The common ratio = 10 / 20 = 1/2 = 0.5

Substituting the values into the equation;

S = 20(1 / 1 - 0.5)

S = 20(1 / 0.5)

S = 20 * 2

S = 40 in

The total distance is 40 inches

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Therefore, the equation having solution x=5 are option b) x+2=7 ,Option c) 3x=15 and Option e)x-5=0

equation, a declaration of equivalence between two expressions with variable- and/or number-filled expressions. In essence, equations are questions, and efforts to discover a method for answering them have fueled the growth of mathematics.

Here,

A.)20 - x = 5

B) x + 2 = 7

C) 3x = 15

D) 5x = 15

E) x- 5 = 0

So, the equation which has solution as x=5 are:

Option b) x+2=7

=>x+2=7

=>x=7-2

=>x=5

Option c) 3x=15

=> 3x=15

=> x=15/3

=> x=5

Option e)x-5=0

=>x-5=0

=>x=5

Therefore, the equation having solution x=5 are option b) x+2=7 ,Option c) 3x=15 and Option e)x-5=0

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1) To determine the surface area of a right cone, we must know the radius of the circular base and height of the cone.

2) To determine the surface area and volume of a sphere, we must know the radius of the sphere.

3) The volume of the sphere with a great circle of radius 7 cm is 1436.75 cubic centimeters

4) The area of a regular pentagon with radius 5, and each side of length 6 is 45 square units

To determine the surface area of a right cone:

The formula for the surface area of a right cone is,

A = πr[r + √(h² + r²)]

this means, to determine the surface area of a right cone, we must know the radius of the circular base and height of the cone.

To find the surface area and volume of a sphere:

The formula for the surface area of sphere is,

A = 4πr²

and the formula for the volume of sphere is,

V = 4/3 πr³

This means, to determine the surface area and volume of a sphere, we must know the radius of the sphere.

For a sphere with radius r = 7 cm the volume would be,

V = 4/3 * π * 7³

V = 1436.75 cubic centimeters

Now we need to find the area of a regular pentagon with radius 5, and each side of length 6.

The formula for the area of a regular pentagon is:

A = 1/2 × P × a

where 'p' is the perimeter of the pentagon and 'a' is the apothem of a pentagon.

The perimeter of the pentagon is:

P = 5 * side lengths

P = 5 * 6

P = 30 units

We know that an apothem of a regular polygon is a radius of the inscribed circle.

From given dimensions, a = 5 units

so, the area of a regular pentagon would be,

A = 1/2 × 30 × 5

A = 45 square units

Therefore, the area of a regular pentagon is 45 square units

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The time taken by the baseball in the air if the ball is not caught is 4.513 seconds.

Here we have to find the time taken by the baseball.

Given data:

The quadratic function is given:

f(x) = 16x² + 70x + 10

To find the value of x we have to formula:

x = ±b [tex]\sqrt{b^{2} - 4ac}[/tex] / 2a

from the equation we get the value of a, b, and c as:

a = -16

b = 70

c = -10

now putting in the equation we have:

x = -70 ±[tex]\sqrt{70^{2} -4(-16)(10)}[/tex] / 2(-16)

  = -70 ±[tex]\sqrt{4900 + 640}[/tex] / -32

  = -70 ± √5540 / -32

  = - 70 ± 74.43 / -32

By calculating this we get two values:

x = -0.138 and 4.513

Time can never be negative so.

x = 4.513

Therefore the time taken is 4.513 seconds.

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The fraction 2/5 added by 3/4 will be 1 3/20.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

The fraction will be illustrated thus:

=✓2/5 + 3/4

= 8/20 + 15/20

= 23/20

= 1 3/20

The value is 1 3/20.

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When used inside a function with a parameter, an asterisk groups a variable number of positional arguments into a single tuple of parameter values

Tuples are utilized to store different things in a solitary variable. A tuple is one of 4 implicit information types in Python used to store assortments of information, the other 3 are Rundown, Set, and Word reference, all with various characteristics and use. A tuple is an assortment that is requested and unchangeable. At the point when we say that tuples are requested, it implies that the things have a characterized request, and that request won't change. Python likewise incorporates the * administrator, which permits you to make another rundown with the components rehashed the predetermined number of times. *args permits us to pass a variable number of non-catchphrase contentions to a Python capability. In the capability, we ought to utilize a bullet ( * ) before the boundary name to pass a variable number of contentions.

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The sphere with 16 inches diameter would hold 2144in^3 of air.

A sphere is a three-dimensional object that is round in shape. The sphere is defined in three axes, i.e., x-axis, y-axis and z-axis. This is the main difference between circle and sphere. A sphere does not have any edges or vertices, like other 3D shapes.

The points on the surface of the sphere are equidistant from the center. Hence, the distance between the center and the surface of the sphere are equal at any point.

The radius of spere = diameter / 2 which is 16/2

radius = 8 inches.

The volume(V) of a sphere is 4/3 πr^3

where r = radius of sphere,  π = constant = 3.14

V = 4/3 x 3.14 x (8)^3

V = 2144 in^3

In conclusion the sphere can hold 2144in^3 of air

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Answer:

h(t) - 94t + 129.

Step-by-step explanation:

The measure of the central angles of the circle are, respectively:

m ∠ BOC = 60°

m ∠ COD = 120°

m ∠ AOD = 60°

m ∠ AOB = 120°

m ∠ DOB = 180°

In this problem we find a geometric system formed by a circle, two parallel lines and two additional lines that intersect each other at the center of the circle. Then, the angles DOC, COB, AOB and DOB are central angles of the circle such that:

m ∠ DOC + m ∠ COB + m ∠ AOB + m ∠ DOB = 360°

Then, by direct inspection, we find that the measures of the central angles are, respectively:

m ∠ BOC = 60°

m ∠ COD = 120°

m ∠ AOD = 60°

m ∠ AOB = 120°

m ∠ DOB = m ∠ COD + m ∠ BOC = 120° + 60° = 180°

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Answer:

Below

Step-by-step explanation:

(x-10)^2 = 90     sqrt both sides

x-10  =  ± sqrt (90)

x  =   10 ± sqrt (90)

Therefore , 48 kilometers per second is the speed of Mercury as it orbits the Sun. Mercury's distance from Earth is 96 kilometers in 2 seconds.

An object's speed can be determined by calculating the distance it covers in a given amount of time. For instance, an automobile is moving at 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Here,

The speed of Mercury as it orbits the Sun is 30 miles per second.

In kilometers/second, Mercury's rate of rotation around the Sun

= 30 1.6 kilometers per second

= 48 kilometers/second

Mercury will move right now in 2 seconds.

=> equals 48 + 2 kilometers

=> 96 kilometers.

Therefore , 48 kilometers per second is the speed of Mercury as it orbits the Sun. Mercury's distance from Earth is 96 kilometers in 2 seconds.

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The adult dose for the decongestant is 2.7 milligrams.

The information can be illustrated through an expression. Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Since for a 45-pound child, the adult dose should be multiplied by 0.3, When the child's dose of a decongestant is 9 milligrams, the adult dose will be:

= Children dose × 0.3

= 9 × 0.3

= 2.7

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The best approximation for the area of a circle with a diameter of 19 meters is 283.4 m².

What is the diameter?

Any straight line segment that cuts through the center of a circle and has ends that are on the circle is considered a circle's diameter in geometry. It is also known as the circle's longest chord. The diameter of a sphere can be defined using either of the two methods.

Here, we have

the area of a circle with a diameter of 19 meters.

By using the area formulas, we get

A = πr²

d = 2r

Solving for A

A = 1/4πd²

= 1/4×π×19²

≈283.52874m²

Hence, the best approximation for the area of a circle with a diameter of 19 meters is 283.4 m².

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The 95% confidence interval to estimate the proportion of students on financial aid = (0.522, 0.658)

In this question we have been given a university dean is interested in determining the proportion of students who receive some sort of financial aid.

Let p be the population proportion of students who receive some financial aid.

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

i.e. n= 200

p{hat} = 118/200 = 0.59

We know that the critical value for 95% confidence interval : z = 1.96

The standard deviation would be,

σ = √[p{hat}(1 - p{hat})/N]

σ = √0.59(1 - 0.59)/200

σ = √(0.0012095)

σ = 0.0348

The 95% confidence interval for population proportion would be,

(0.59 ± (1.96 * 0.0348))

= (0.59 - (1.96 * 0.0348), 0.59 + (1.96 * 0.0348))

= (0.5218, 0.6582)

Therefore, the 95% confidence interval : (0.522, 0.658)

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The amount of Amy earn if she sold her shares today will be;

⇒ $8,038

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Amy purchased 100 shares of Monsanto Company for $66.10 per share.

Today the stock is selling for $80.45.

And, a charge of $7.00 to buy and sell.

Now,

Since, Today the stock is selling for $80.45.

And, A charge of $7.00 to buy and sell.

Hence, The amount for Amy earn if she sold her shares today is;

⇒ $80.45 × 100 - $7

⇒ $8,045 - 7

⇒ $8,038

Thus, The amount of Amy earn if she sold her shares today will be;

⇒ $8,038

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