A bag contains 10 marbles. four of them are red, three blue, two white and one yellow. A marble is drawn at random. what is the probability it's not white?

Answer:

slope is zero

Step-by-step explanation:

zero slope is neither positive or negative; it indicates no change whatsoever

Answer:6.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length of the third board = Total length - ( sum of other two boards)

                                         = 21.35 - ( 8.2 + 6.42)

                                        = 21.35 - 14.62

                                       =      6.73 m

Consider the given situation that the health inspector finds the sample mean of the four pools to be outside the safe pH levels. As a result,'

the inspector declares that the population mean is not 7.5. However, if the population mean is really 7.5, the inspector will make an error. Such an error is called a Type I error.

The significance level, α, for this test is 0.05. Hence, there is a 0.05 probability of rejecting a true null hypothesis. According to the given information, the inspector declares that the population mean is not 7.5. So, the alternative hypothesis can be represented as: H₁: μ ≠ 7.5. (two-tailed test)The null hypothesis can be represented as :H₀: μ = 7.5. (two-tailed test)The inspector will make a Type I error if the null hypothesis is true but rejected, i.e.,

if the pH level of the four pools is not outside the safe pH levels, but the inspector still declares that it is. The probability of a Type I error is given by the significance level, α = 0.05. Here, the sample size, n = 4. The population standard deviation is not given. Hence, we assume it to be unknown and use a t-distribution for the test.

Using a t-distribution table with degrees of freedom of 4 - 1 = 3, the critical value of t is 3.182. If the computed t-value is greater than 3.182, we reject the null hypothesis and accept the alternative hypothesis, i.e., the pH level of the four pools is outside the safe pH levels. If the computed t-value is less than 3.182, we fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the pH level of the four pools is outside the safe pH levels.

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Answer:

true

Step-by-step explanation:

We are given that sides LM and NM, LO and NO, MO and MO are congruent. Since this describes 3 sides of the triangle, you can say ΔMNO is congruent to ΔMLO. From this, you can say ∠OMN is congruent to ∠OML. The two angles (∠OMN and ∠OML) form a straight line, meaning they add up to 180 degrees. We can write:

∠OMN + ∠OML = 180

And since ∠OMN = ∠OML, we can substitute and solve:

∠OMN + ∠OMN = 180

2∠OMN = 180

∠OML =∠OMN = 90

Since both these angles are 90 degrees, LN is perpendicular to MO by definition.

Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.

In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:

$$PF + PF' = 2a,$$

where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:

$$9 + 12 = 2a,$$

$$21 = 2a.$$

Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$

The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:

$$c = \sqrt{a^2 - b^2}.$$

We can solve for $b$ using the distance to one focus:

$$c = \sqrt{a^2 - b^2},$$

$$c^2 = a^2 - b^2,$$

$$b^2 = a^2 - c^2,$$

$$b = \sqrt{a^2 - c^2}.$$

Substituting the known values:

$$b = \sqrt{10.5^2 - 9^2},$$

$$b = \sqrt{110.25 - 81},$$

$$b = \sqrt{29.25},$$

$$b \approx 5.408.$$

Therefore, the semi-minor axis $b$ is approximately $5.408.$

Finally, we can determine the lengths of the major and minor axes:

The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$

The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$

Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.

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Answer:

28/-14 = -2

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

An equation that models the height of the ball as a function of time t is; h(t) = -16t² + 40t + 3. The maximum height that the ball will reach is 28 ft

We are given the equation for the vertical velocity model as;

h = -16t² + vt + s

Where;

v = velocity

s = starting height

h = ending height

t = time

A) From the question, we have;

v = 40 ft/s

s = 3 ft

Thus, the equation is;

h = -16t² + 40t + 3

B) To find the time that the ball reaches its maximum height, we will equate the height equation to zero and find the roots. Thus;

-16t² + 40t + 3 = 0

Using an online quadratic equation calculator gives;

t = 2.573 s

C) The maximum height that the ball will reach is;

h'(t) = -32t + 40

At h'(t) = 0;

-32t + 40 = 0

32t = 40

Thus;

t = 1.25 s

Max height = -16(1.25)² + 40(1.25) + 3

Max height = 28 ft

D) The height of the ball after 2 seconds is;

h(2) = -16(2)² + 40(2) + 3

h(2) = 19 ft

E) Time for the ball to hit the ground is;

T = 2 * 2.573

T = 5.146 s

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The value of the evaluated iterated integral is 6.667.

As per the given data the iterated integral is \($\int_2^3 \int_0^2 x y^2 d x d y$\)

Here we have to evaluate the given iterated integral to find the value of \($\int_2^3 \int_0^2 x y^2 d x d y$\) .

The definite integral of a real-valued function f(x) with respect to a real variable x on an interval (a, b) is expressed as

\($\int_a^b f(x) d x=\mathrm{F}(\mathrm{b})-\mathrm{F}(\mathrm{a})$\)

Here,

\($\int=$\) Integration symbol

a - Lower limit

b - Upper limit

f(x) - Integrand

dx - Integrating agent

Thus, \($\int a b f(x) d x$\) is read as the definite integral of f(x) with respect to dx from a to b.

Indefinite integrals are implemented when the boundaries of the integrand are not specified.

\(& \int_2^3 \int_0^2 x y^2 d x d y \\\)

Integrate the given iterated integral.

We get:

\(& \int_2^3 x d x \int_0^2 y^2 d y \\\)

\(& =\int_2^3 x d x\left(\left.\frac{y^3}{3} \right|_0 ^2\right) \\\)

Substitute the limits in y.

\(& =\int_2^3 \frac{8}{3} x d x \\\)

\(& =\left.\frac{8}{3\times2} x^2\right|_2 ^3 \\\)

\(& =\left.\frac{4}{3} x^2\right|_2 ^3 \\\)

Substitute the limits in x.

\(& =\frac{4}{3} \times 9-\frac{4}{3} \times 4 \\\)

\(& =\frac{20}{3}\)

= 6.667.

Therefore answer is 6.667.

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The value of height of the aquarium in centimeters is,

Height=20cm

Given that;

Length = 100 cm

Breadth = 40cm

And, Volume = 80 liters = 80000cm³

Since, We know that;

Volume = length x breadth x height

Substitute all the values we get;

80000 = 100 x 40 x height

80000 = 4000 x height

Divide both sides by 4000

80000/4000=(4000xheight)/4000

20=height

Height=20cm

Thus, The value of height of the aquarium in centimeters is,

Height=20cm

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Answer:

Solution,

\(f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114\)

hope this helps.

Good luck on your assignment..

Answer:

-114

Step-by-step explanation:

To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.

f(x) = -4x + 5x

f(6) = -4(6) + 5(6)

f(6) = -4(36) + 30

f(6) = -144 + 30

f(6) = -114

The answer is -114.

The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

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Answer:

those are two parentheses, on being the start and one being the end

Answer:

c

Step-by-step explanation:

Answer:

4/8 which is 1/2

Step-by-step explanation:

hfjfjfxbxnbxhxhx dhs

To prove that the two triangles are similar, we can use the Angle-Angle (AA) similarity theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In this case, we have angle MCD in the smaller triangle and angle MDC in the larger triangle, which are congruent because they are vertical angles. We also have angle CMD in the smaller triangle and angle CDM in the larger triangle, which is congruent because they are both right angles. Therefore, by the AA similarity theorem, the two triangles are similar.

To find the length x, we can use the fact that the corresponding sides of similar triangles are proportional. Let's use the ratio of corresponding sides CM and DC in the smaller triangle to MC and CD in the larger triangle:

CM/DC = MC/CD

Substituting the given values, we get:

x/120 = tan 49°/tan 41°

Solving for x, we get:

x = 210 yd * tan 49°/(tan 49° + tan 41°) ≈ 124.8 yd

Therefore, the length x is approximately 124.8 yards.

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The volume of the cone is 116ft^3

The formula of volume of a cone is given as

\(v = \frac{1}{3}\pi r^2h\\ \)

The data given are;

We can substitute the values into the equation.

\(v = \frac{1}{3}\pi r^2h\\ v = \frac{1}{3}*3.14*5.65^2*3.5 \\ v = 116.94ft^3\)

The volume of the cone is 116.9ft^3

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Given:

Jenna's rent is increasing from $650 to $700 per month.

Increase every year = $50

Let's find the cost of the rent per month next 3 years.

The rent increases by $50 every year.

Given that the cost of the rent this year is $700, let's find the cost for the next 3 years.

To find the cost next 3 years per month, we have:

Cost next year = $700 + $50 = $750

Cost of rent next 2 years = $750 + $50 = $800

Cost of rent next 3 years = $800 + $50 = $850

Therefore, the costs of the rent 3 years from now are:

$750, $800, $850

ANSWER:

(d) $750, $800, $850

The expression (36m ÷ 9m) is equivalent to 4.

Given is the following division as follows -

(36m ÷ 9m)

We have the following expression -

36m ÷ 9m

So, we can write -

(36m/9m)

36/9

4

Therefore, the expression (36m ÷ 9m) is equivalent to 4.

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The coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).Given that the glide reflection determined by the slide arrow OẢ, where O is the origin and A(0,2), and the line of reflection is the y-axis.

The maxima and minima of a function are its maximum and minimum points within or across a certain range, and these points are collectively referred to as extrema in mathematical analysis. The highest value of the variable. The maximum amount, level, etc. The variable can only take a maximum of 2. Maximum refers to a peak (plural maxima). The lowest position is referred to as minimal (multiple minimum). Extremum is a phrase for the greatest or least of anything (multi-extremum). Local maxima (or minima) are used if there are better (or worse) sites available elsewhere but they are not nearby.

Now, we need to find the image of any point (x, y) under this glide reflection in terms of x and y.

a) Image of any point (x, y) under this glide reflection is given by,(x, y) → (x′, y′)= reflection(y-axis) [ translation(OA) (reflection(y-axis))]

Now, reflecting the point (x, y) on y-axis, we get(-x, y).

Now, translating the point (-x, y) by the distance vector OA, we get(x - 0, y - 2) = (x, y - 2)

Therefore, the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)

b) Given that (3, 5) is the image of a point P under the glide reflection. We need to find the coordinates of P.

Now, we know that the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)So, (x, y - 2) → (3, 5)On comparing the x-coordinates, we getx = 3On comparing the y-coordinates, we gety - 2 = 5⟹ y = 7

Therefore, the coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).

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The radius of the given circle is 3x+8.

First, we need to simplify the expression inside the parentheses:

pi (9x² + 48x + 64) = pi [(3x + 8)(3x + 8)]

Now, we can equate this expression to the formula for the area of a circle:

\(\pi r^2 = \pi [(3x + 8)(3x + 8)]\)

Simplifying this equation by canceling out pi from both sides, we get:

\(r^2 = (3x + 8)(3x + 8)\)

Expanding the right-hand side of the equation, we get:

\(r^2 = 9x^2 + 48x + 64\)

Taking the square root of both sides, we get:

\(r = \sqrt{(9x^2 + 48x + 64)\)

Therefore, the answer is (C) 3x+8.

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16.  Valid

Reason: congruency can be represented by the symbol ≅ hence  the statement still reads <1 and <2 are congruent.

17. Invalid

Reason: A rectangle also has four right angles, It is only a square when all the sides are equal.

18. Valid

Reason: congruency can be represented by the symbol ≅ hence the statement still reads <JKM and <MKL are congruent.

19. Valid

Reason: The conclusion of the battery dying is in support of the premise giving which is leaving the light on when the car is off.

20.Valid

Reason: The conclusion, Dante obtained a part time job is in line with the premise that obtaining a pert time job, is a way to afford a car payment

21. Valid

Reason: The premise which has that selling 75% of the prom tickets will make the prom hold at country club is fulfilled, hence the prom will be held at the country club

An argument is vailed when the premises or conditions of the argument are all true. when some part of the argument is not true then it will lead to invalid conclusion.

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Answer:

112 ≤ T ≤ 158

Step-by-step explanation:

We need to convert the celsius temperature to Fahrenheit first.

The formula to use is

F = (C * 9/5) + 32

For 50 degrees Celsius

F = (50 * 9/5) + 32

= 90 + 32 = 112 F

For 70 degrees Celsius

F = (70 * 9/5) + 32

= 158 F

So the compound inequality is written as follows;

112 ≤ T ≤ 158

Answer:  x=11

Step-by-step explanation:

Answer:

\( \sf \: x = 11\)

Step-by-step explanation:

Given equation,

→ 0.3(4 + x) = 4.5

Now the value of x will be,

→ 0.3(4 + x) = 4.5

→ 1.2 + 0.3x = 4.5

→ 0.3x = 4.5 - 1.2

→ 0.3x = 3.3

\( \sf \rightarrow \: x = \frac{3.3}{0.3} \)

→ [ x = 11 ]

Hence, the value of x is 11.

The equation of g(x) is f(x) + 3, which can be written as g(x) = x^2 + 6x + 11. It is obtained by shifting the graph of f(x) upward by 3 units.

Adding a constant term to the original function shifts the graph vertically. In this case, adding 3 to f(x) moves the entire graph of f(x) upward by 3 units, resulting in g(x) = x^2 + 6x + 11.

Sure! The equation of g(x) is f(x) + 3, which means we take the original function f(x) = x^2 + 6x + 8 and add 3 to it. Adding a constant term to a function shifts the graph of the function vertically.

In this case, when we add 3 to f(x), we are essentially moving every point on the graph of f(x) upward by 3 units. This vertical shift affects all the y-values of the function while keeping the same x-values.

So, the equation of g(x) becomes g(x) = x^2 + 6x + 11. The graph of g(x) is the same shape as f(x), but it is shifted upward by 3 units.

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Answer: The answer is: the base is raised to the second power

Step-by-step explanation:

The area of the pitcher's circle is 200. 96 ft²

The formula that is used for calculating the area of a given circle is expressed with the equation;

A = πr²

This is so, such that the parameters of the formula are expressed as;

From the information given, we have that;

Diameter = 16ft

Then,

radius = d/2

radius = 16/2 = 8ft

Substitute the value, we have;

Area = 3.14 × 8²

Find the square and substitute the value, we have;

Area = 200. 96 ft²

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The sum of the parts 11/7 and 12/5 of pizza is 139/35.

It is given that the parts of pizza are:

\(1. 11/7\\2. 12/5\\\)

It is required to find sum of the parts of pizza.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.

Calculating the sum of the parts of pizza:

\(=\frac{11}{7}+\frac{12}{5}\)

\(=\frac{139}{35}\)    

Thus, the sum of the parts 11/7 and 12/5 of pizza is 139/35.

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Answer: Quora. It will help, trust me or search it up