please help with this​

Answer:

54

Step-by-step explanation:

16.4= 16

12.8= 13

9.6= 10

14.6=15

16 + 13 +10 +15 = 54

The answers are as follows:

a) X denotes the number of the california residents that have adequate earthquake insurance

b)  x = 1 ,2 ,3 ......

c) P( X=x ) = 0.3(1-0.3) ^ (x-1)

d)  P( X=1) +  P( X=2)  + P( X=3) +  P( X=4)

e) 0.49

f)0.42

g)0.33

It is a branch of mathematics that deals with the occurrence of a random event.

The complete question is

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a. In words, define the random variable X. b. List the values that Xmay take on. c. Give the distribution of X.X~ _____(_____,_____) d. WhatistheprobabilitythatwemustsurveyjustoneortworesidentsuntilwefindaCaliforniaresidentwhodoes not have adequate earthquake supplies? e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? f. HowmanyCaliforniaresidentsdoyouexpecttoneedtosurveyuntilyoufindaCaliforniaresidentwhodoesnot have adequate earthquake supplies? g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?

given that 30% of California residents have adequate earthquake supplies.

a) variable X denotes the number of the california residents that have adequate earthquake insurance

b) x = 1 ,2 ,3 ......

c) p=0.3

P( X=x ) = 0.3(1-0.3) ^ (x-1)

d) P( X=1) +  P( X=2)  + P( X=3) +  P( X=4)

= 0.3(1-0.3) ^ 0 + 0.3(1-0.3) ^1 + 0.3(1-0.3)^ 2 +...

e) P( X≥ 3) = 1- P(X<3)

= 1- (P(X=1) + (X=2))

= 1- 0.051

= 0.49.

f) E(X)= 1/P

p is the resident who does not have adequate earthquake supplies

p= 1-0.3

p = 0.7

E(X) = 1/0.7

= 0.42

g) E(X) =  1/q

= 1/0.3

= 3.333

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Measure of the arc or angle indicated is 150.9 degrees.

In geometry, an arc is a portion of the circumference of a circle or any other curved shape. It is defined by two endpoints and all the points on the curve that lie between them. An arc is usually named by its two endpoints, with a small arc symbol above them to indicate that it is an arc.

The length of an arc can be calculated using the formula:

Arc length = (central angle/360) x 2πr

where r is the radius of the circle, and the central angle is the angle subtended by the arc at the center of the circle, measured in degrees.

The measure of an arc is the degree measure of the central angle subtended by the arc. A semicircle is an arc that subtends a central angle of 180 degrees, and a full circle is an arc that subtends a central angle of 360 degrees.

Since DE and PE are chords of the circle, and they intersect at point P, we can use the intersecting chords theorem to find the length of DP. Let x be the length of DP. Then:

DP * PE = DE * PC

x * (x + PE) = (\(\frac{CE}{2}\)) * (\(\frac{CE}{2}\))

x² + x(PE) - \(\frac{CE}{2}^{\frac{2}{4} }\) = 0

Since angle DPE is 60 degrees, we can use the law of cosines to find PE. Let y be the length of PE. Then:

y² = DE² + DP² - 2 * DE * DP * cos(60)

y² = (\(\frac{CE}{2}\))² + x^2 - (\(\frac{CE}{2}\)) * x

Substitute this expression for y^2 into the equation for x and simplify:

\(x^{2} +x((\frac{CE}{2})^{2} + x^{2} -\frac{CE}{2} *x)^{0.5} -(\frac{CE}{2} ^{\frac{2}{4} } )=0\)

Solve for x:

x = \(\frac{CE^{2} -4*(CE^{2} -3*\frac{CE}{2} ^{2} )^{0.5} }{4}\)

x = \(\frac{3}{4} *\frac{CE^{2} }{CE^{2} -12}\)

Now we can find the measure of the CD arc by using the formula for the central angle:

CD arc = \(2*arctan(\frac{DP}{CE})\)

CD arc = \(2*arctan(\frac{x}{\frac{CE}{2} } )\)

CD arc = \(2* arctan(CE^{2} -4*(CE^{2} -3*\frac{(\frac{CE}{2} ^{2})^{0.5}}{CE^{2}-12 } ))\)

Simplifying this expression, we get:

\(CD arc=2*arctan(2*3^{\frac{1}{2} } -1)\)

CD arc ≈ 150.9 degrees.

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Measure of the arc or angle indicated in the given figure is 150.9 degrees.

In geometry, an arc is a portion of the circumference of a circle or other curved shape. It is defined by his two endpoints and all midpoints of the curve. Arcs are usually named after their two endpoints, with a small arc symbol above them to indicate that they are arcs.

Arc Length = (Center Angle/360) x 2πr

where r is the radius of the circle and the central angle is the angle the arc makes at the center of the circle, measured in degrees.

The arc measurement is the angle of the central angle defined by the arc. A half circle is an arc that spans a central angle of 180 degrees, and a full circle is an arc that spans a central angle of 360 degrees.

Since DE and PE are chords of the circle and intersect at P, we can use the chord rule to find the length of DP. Let x be the length of DP.  Then:

DP × PE = DE × PC

x × (x + PE) = (CE/2) × (CE/2)

x² + x(PE) - \(\frac{CE}{2} ^{\frac{2}{4} }\) = 0

Since angle DPE is 60 degrees, we can use the law of cosines to find PE. Let y be the length of PE. Then:

y² = DE² + DP² - 2 × DE × DP × cos(60)

y² = (\(\frac{CE}{2}\))² + x² -  (\(\frac{CE}{2}\)) × x

Substitute this expression for y² into the equation for x and simplify:

\(x^{2} +x((\frac{CE}{2} ^{2}) + x^{2} - \frac{CE}{2}*x)^{0.5} -\) \(\frac{CE}{2} ^{\frac{2}{4} }\) = 0

Solve for x:

x = \(\frac{CE^{2} - 4*(CE^{2}-3*\frac{CE}{2} ^{2})^{0.5} }{4}\)

x = (3/4) × (CE²/CE²-12)

Now we can find the measure of the CD arc by using the formula for the central angle:

CD arc = 2arc tan(DP/CE)

CD arc = 2arc tan [x/(CE/2)]

CD arc = 2arc tan (CE² - 4 × (CE² - 3 × \(\frac{(\frac{CE}{2} ^{2}) ^{0.5} }{CE^{2}-12 }\) )

Simplifying this expression, we get:

CD arc ≈ 150.9 degrees.

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Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

The volume of a cuboid is given by the formula V = l * b * h, where l is the length, b is the breadth, and h is the height. In this case, we are given that V = 24 cm^3 and b = 3 cm and h = 2 cm.

We can rearrange the formula to solve for l:

V = l * b * h

l = V / (b * h)

Plugging in the given values, we get:

l = 24 cm^3 / (3 cm * 2 cm)

l = 4 cm

So the length of the cuboid is 4 cm.

The length of the cuboid is 4 cm

Given Data

Volume -24 cm

Breadth-3 cm

Height-2 cm

Length=?

WE KNOW THAT

Volume of a cuboid=Length*Breath*Height

24=Length*3*2

24=Length*6

Length=24/6

Length=4 cm

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The Solution.

Line 1 is a line of symmetry.

Line 2 is not a line of symmetry.

Line 3 is a line of symmetry.

Line 2 is not a line of symmetry.

Answer:

Step-by-step explanation:

x + 8

Answer:

your answer would be c

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

hope this helps :)

The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;

Given:

Hannah makes 5 out of 8 attempted free-throws.

Now,

The average waiting time of hannah to make her first basket is 5/8

The probability of hannah making basket at her last attempt is 1/8

The probability of hannah making basket before her last attempt is 2/8

Hence, the probabilty will be 1/8 and 2/8;

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Answer:

Step-by-step explanation:

Depreciation can be expressed as function:

Having the final value of $250000, we can find x:

You will able to deposit  X=7000.182500⁴⁷⁴⁵/182537⁴⁷⁴⁵now under the scenario Below.

A minimum deposit or initial  deposit is the lowest minimum  amount of the  money required to open an object account with all the  financial institution, such as the bank or the brokerage firm.

Based on the given scenario the formulate is-

X×(1+7.4%÷ 365)¹³×365 = 70000

Now we have to solve the equation -

X×(1+0.074/365)¹³×365=70000

Convert the number

X× 1+ (74/365000)¹³×365=70000

Now reduce

X×(1+37/182500)¹³×365=70000

Now we have to calculate=

X× (1+ 37/182500)⁴⁷⁴⁵=70000

We have to transfer the edition

X× (1+ 37/182500)⁴⁷⁴⁵=70000

Devide both side

X= 70000/ ( 182537/182500)⁴⁷⁴⁵

By Calculation we can get

X= 70000×182500^4745/182537⁴⁷⁴⁵

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The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Answer:

A.) Yes. The input and output are both possible.

Step-by-step explanation:

In this problem, a dentist sees patients each day to clean their teeth. So we represent this function as g(x) where:

x: Represents the number of people who saw the dentist.

g(x): Represents the number of teeth cleaned.

So we are given a point that is solution to our function, but what does this point represent? This tells us that the dentist saw 20 patients and cleaned 20 teeth. For example, a volunteer dentist can see more people than a common dentist and it is likely that that volunteer person sees fewer teeth. However, it's very difficult that that dentist finds 20 people with an only tooth each. So this situation is possible, but not realistic in the real world.

Answer:

Yes. The input and output are both possible.

In this problem, a dentist sees patients each day to clean their teeth. So we represent this function as g(x) where:

x: Represents the number of people who saw the dentist.

g(x): Represents the number of teeth cleaned.

So we are given a point that is solution to our function, which is  but what does this point represent? This tells us that the dentist saw 20 patients and cleaned 20 teeth, that is, he cleaned an only teeth per patient. So this will make sense under the conditions that make it possible, for example, a volunteer dentist can see more people than a common dentist and it is likely that that volunteer person sees fewer teeth. However, it's very difficult that that dentist finds 20 people with an only tooth each. So this situation is possible, but not realistic in the real world.

Step-by-step explanation:

Answer:

I hope I can help

Step-by-step explanation:

welcome po

Answer:

256. fffddddddssddddd

The number of cookies and trays are illustrations of greatest common factors.

The given parameters are:

\(\mathbf{Chocolate\ chip=48}\)

\(\mathbf{Rainbow=64}\)

\(\mathbf{Oatmeal=120}\)

(a) The number of trays

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

\(\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}\)

\(\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}\)

\(\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}\)

So, the GCF is:

\(\mathbf{GCF= 2 \times 2 \times 2}\)

\(\mathbf{GCF= 8}\)

Hence, the number of tray is 8

(b) The number of each type of cookie

We have

\(\mathbf{Chocolate\ chip=48}\)

\(\mathbf{Rainbow=64}\)

\(\mathbf{Oatmeal=120}\)

Divide each cookie by the number of trays

So, we have:

\(\mathbf{Chocolate\ chip = \frac{48}{8} = 6}\)

\(\mathbf{Rainbow = \frac{64}{8} = 8}\)

\(\mathbf{Oatmeal = \frac{150}{8} = 15}\)

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

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Answer: prob 8

Step-by-step explanation:

By the fundamental theorem of calculus,

\(\displaystyle y = \int_0^v \sqrt{3+4t^2} \, dt \implies \boxed{\frac{dy}{dv} = \sqrt{3+4v^2}}\)

In general,

\(\displaystyle \frac{d}{dx} \int_0^{g(x)} f(u) \, du = f(g(x)) \frac{dg}{dx}\)

Answer:

  5.8

Step-by-step explanation:

The angle bisector makes the triangle sides on either side of it proportional.

  AC/CD = AB/BD

  AC = CD·AB/BD

  AC = 2(8.1/2.8) = 8.1/1.4 ≈ 5.7857 . . . . substitute shown values, evaluate

  AC ≈ 5.8

Answer:

Ax+By=C

Step-by-step explanation:

Answer: The investment will be 6314 after 9 years.

Step-by-step explanation:

Formula to calculate the accumulated amount in t years:

\(A=P(1+r)^t\), whereP= principal amount, r= rate of interest ( in decimal)

Given: P = $4,625

r= 3.52% = 0.0352

t= 9 years

Then, the accumulated amount after 9 years would be:

\(A=4625(1+0.0352)^9\\\\=4625(1.0352)^9\\\\=4625(1.36527)\approx6314\)

Hence, the investment will be 6314 after 9 years.

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

The exact distance from home plate to second base on a baseball diamond is √16,200 feet. To convert this distance to decimal form, we must first understand the concept of a square root and how it relates to the distance formula.

A square root is a mathematical operation that represents the value whose square is equal to a given value. In this case, the square root of 16,200 is equal to the distance from home plate to second base.

To find the decimal form of the square root of 16,200, we can use a calculator or we can use the long division method. With a calculator, we simply input √16,200, which will give us the result of 126.84955592153876

To round to the nearest hundredth we look at the hundredths digit (8) if it's 5 or above we round up otherwise we round down so 126.84955592153876 rounded to the nearest hundredth is 126.85

The distance from home plate to second base on a baseball diamond is 126.85 feet in decimal form.

It's worth noting that the distance from home plate to second base is a critical aspect of the game and it's really important for the catcher to make a quick and accurate throw to second base.

Since am a number greater than 0and a factor of 2 multiple of 5 then am 10 ie ans =10

10÷2=5

5*2=10

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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Answer:

Step-by-step explanation:

Known facts:

Let us set up the equation:

p/c = 5/2 --> 2p = 5c --> 2p -5c = 0 -- equation 1

p = 9 + c --> p - c = 9 -- equation 2

Multiple equation 2 by 2

2p - 2c = 18 -- equation 3

subtract equation 1 and equation 3

-3c = -18

c = 6, so p = 15

So the total mass of both ingredients is 21 kg

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

Answer:

t = 480

Step-by-step explanation:

When we have equations with variables, we always want to isolate the variable, so lets get rid of 4 first.

Add 4 to both sides :

-96 = -t/5

Multiply both sides by the denominator :

-480 = -t

Divide both sides by negative 1 :

t = 480

Answer:

Step-by-step explanation:

-t/5 - 4 = -100

-t/5 = -96

t/5 = 96

t = 480