. a fair coin is flipped 8 times and thesequence of heads and tails is noted. in howmany outcomes are therea. exactly 6 heads?b. at least 3 heads?c. at most 6 heads?d. at most 2 head

Answer:

The total distance will remain unchanged as the gas station is on their way to home.

Step-by-step explanation:

The total distance of the trip will the distance between home to the destination and way back. If the Anderson family is stopped to fill gas in their car. The total distance of the trip is not affected by the stop in their route. If the gas station is located far from the route they follow then the distance will change.

Answer:

conclusion

Step-by-step explanation:

Statement (B) "There are no even prime numbers" can be proved wrong using a counterexample.

So, as we all know that all multiples of 4 are also multiples of 2.

But the statement (B) is wrong as there are prime even numbers.

For example: 2

The factor of 2 has only 1 and the number itself which is 2 (Even) and no other number.

Therefore, statement (B) "There are no even prime numbers" can be proved wrong using a counterexample.

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The correct question is given below;

3. Which statement could be proven false using a counterexample?

A) All multiples of 4 are also multiples of 2.

B) There are no prime even numbers.

Given below is the graph of a polynomial function F with real coefficients. Use the graph to answer the following questions about F. All local extrema of F are shown in the graph, and to identify them as well as the number of local extrema of F.

Here is the given graph of the polynomial function F:  Graph of the polynomial function F From the graph, the number of local extrema of F is 5.

The local extrema are marked in the graph as shown in the figure below:  Marked local extrema on the polynomial function F from the graph.

The x and y-coordinates of each local extrema are as follows:

Local Extrema (0, -3), Local Extrema (1, -2), Local Extrema (2, 1), Local Extrema (3, 2), Local Extrema (5, -1).

Therefore, the local extrema of F are (0, -3), (1, -2), (2, 1), (3, 2), and (5, -1).

The local extreama are 5.

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Answer: The derivative of the sine function is the cosine and the derivative of the cosine function is the negative sine

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

This is like saying 32-40. The way I think about this is 40-32, but when you get your answer, put the negative sign before it. For example, in this case...

40-32=8, after adding the negative to the front...-8.

32-40 is actually -8, so it works!!

My way of solving this isn't necessarily the only right way to do this, but I hope I helped you out...have a great day ^^

Answer:

y = 0.8x +12

Step-by-step explanation:

parallel line means it has similar gradient m= 0.8

Y = MX + C

just substitute the coordinate (-5,8) to find the variable c

8 = 0.8(-5) + C

C = 12

our answer is y = 0.8x + 12

Answer:

32

Step-by-step explanation:

18 +2(7).

2 x 7 = 14

18 + 14 = 32.

Therefore, WT > 17 and WT > 18, so the smallest possible value of WT is 18. Therefore, WT ≈ 18.

The product of the lengths of their crossed arcs, divided by two, determines the size of each angle formed when two secants or chords cross paths inside of a circle. An inscribed angle's measurement is equal to half of its intercepted arc's measurement.

m ZYX = m(arc WY) + m(arc ZX) = 44° + 68° = 112° since arc WY = 44° and arc ZX = 68°. (vertical angles).

The opposing angles in the cyclic quadrilateral ZTYX are additional. m ZTX = 180° - m ZYX = 180° - 112° = 68°, as a result.

As a result, m ZTX = 68°.

(2) The Pythagorean theorem can be used to determine the length of the missing side TZ because WTX is a right triangle:

WT² + TX² = TZ²

(4.8)² + (8.0)² = TZ²

23.04 + 64 = TZ²

87.04 = TZ²

TZ ≈ 9.33

Therefore, TZ ≈ 9.33.

(3) The Triangle Inequality Theorem gives us the following:

WT + TY > WY

WT + 8 > 25

WT > 17

WT + TX > WX

WT + 8 > 25

WT > 17

Consequently, WT can only have a minimum value of 18.

WT can have a minimum value of 18 since WT > 17 and WT > 18.

Therefore, WT ≈ 18.

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Question:

In the given figure, m(arcWY)=44

o

,m(arcZX)=68

then

(1) Find the measure of ∠ZTX.

(2) If WT=4.8,TX=8.0,YT=6.4, find TZ.

(3) If WX=25,YT=8,YZ=26, find WT.

x(t) = \(c_1e^1^4^t+c_2e^-^t\)  , y(t) = \(2c_1e^1^4^t-c_2e^-^t\)   is the general solution of the sytem of differention eqution dx/dt = 4x+ 5y , dy/dt = 10x + 9y .

given  dx/dt = 4x+ 5y  and dy/dt = 10x + 9y

X'(t) = \(\left[\begin{array}{ccc}4&5\\10&9\end{array}\right]\)  X

where X = \(\left[\begin{array}{ccc}x\\y\\\end{array}\right]\)

so A = \(\left[\begin{array}{ccc}4&5\\10&9\end{array}\right]\)

now we need to find eigen value of the matrix and the corresponding eigen vector.

| A- λI | = 0

so after equation the value to zero

λ = 14 and λ = -1

now for the  λ = 14 corresponding eigen vector = \(\left[\begin{array}{ccc}1\\2\\\end{array}\right]\)

for λ = -1 corresponding eigen vector =  \(\left[\begin{array}{ccc}1\\-1\\\end{array}\right]\)

So general equation is given by:

X(t) = \(c_1e^1^4^t\)  \(\left[\begin{array}{ccc}1\\2\\\end{array}\right]\)  +  \(c_2e^-^t\)   \(\left[\begin{array}{ccc}1\\-1\\\end{array}\right]\)

after solving this

x(t) = \(c_1e^1^4^t+c_2e^-^t\)

y(t) = \(2c_1e^1^4^t-c_2e^-^t\)

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The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98

The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?

The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:

Minimum value = 35

First quartile Q1 = 68

Median = 77

Third quartile Q3 = 83

Maximum value = 97

The interval 68–83 is the range between Q1 and Q3.

Thus, it is the interquartile range.

The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15

The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.

Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98

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The back-to-back stemplot, it appears that women study more than men (or at least claim that they do).

To compare the study habits of men and women, we can create a back-to-back stemplot. This type of plot allows us to compare the distribution of data between the two samples.

First, we need to gather data on the study hours for both men and women. Let's say we collected data from a sample of 50 men and 50 women.

Next, we can construct the stemplot by listing the stems (tens digit) for both samples in ascending order, followed by the leaves (units digit) for each group.

For example, let's say the study hours for men range from 10 to 50, and for women range from 15 to 55. The back-to-back stemplot would look like this:

Men:
1 | 0 0 1 2 3 3 4 4 5
2 | 1 1 1 1 2 3 3 3 3 4 5

Women:
1 | 5 5 5 5 6 6 7 7 7 7 7
2 | 1 1 1 2 2 2 3 4 4 5 5

From the stemplot, we can observe the distribution of study hours for both men and women. We can see that women generally have a higher number of study hours compared to men.

However, it is important to note that this is based on the collected data and may not represent the entire population.

Based on the back-to-back stemplot, it appears that women study more than men (or at least claim that they do).

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Answer:

midpoint = (3,3.5)

distance = 5

Step-by-step explanation:

midpoint = (x1+X2/2, y2+y2/2)

=(5+1/2, 5+2/2)

=(6/2, 7/2)

=(3, 3.5)

distance= √(x2-x1)^2 -(y2-y1)^2

=√(1-5)^2 -(2-5)^2

= √ 16+9 =√25 =5

Answer:

the asnwer is

Step-by-step explanation:

C= 2 x pi x r

i gotchu bro

Answer:

It's -2, not -12 and the other is -21

Step-by-step explanation:

7*-3=-21

21/-12=-2

Answer:

1152000 feet

Step-by-step explanation:

6,400x60 mins per hour = 384000 feet in one hour

384000x3 hours = 1152000 in 3 hours

Happy learning!

--Applepi101

Answer:

Question 1: The total cost before tax is $47.99

Question 2: cant help ya there, not that smart sorry..

Step-by-step explanation:

Answer:

I'm just answering this for the points haha

The length of side BD which is the altitude of the triangle is 2√(70)

The length of BD is solved using similar triangles. This is defined by triangles formed from triangle ABC and they include

Let the altitude be h, hence we have the formula of the proportions as

AD / h = h / DC

plugging the values gives

20 / h = h / 14

h^2 = 20 * 14

h = √(20 * 14 )

h = √(280)

h = 2√(70)

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Answer:

zero

Step-by-step explanation:

86 = 1p + 5n

n = p + 4

86 = 1p + 5(p + 4)

86 = 1p + 5p + 20

66 = 6p; p = 11

86 = 1(11) + 5n

86 = 11 + 5n

75 = 5n; 15 = n

11 pennies, 15 nickels

11(1) + 15(15) = 11 + 75 = 86

Answer:

umm maybe its 36 mi

Step-by-step explanation:

Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.

The exponential function for depreciation given in the problem is:

y = 45,529(0.78)^x

This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.

To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:

y > 0

In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.

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Answer:

i thinks it on a app

Step-by-step explanation:

yea the wedsite is

Answer:

p(x+y)

Step-by-step explanation:

p(x+y)

hope that helps^^

Answer:the answer is 10 because if u subctract it will work

Step-by-step explanation:

Answer:21

Step-by-step explanation:

Answer:

t= 12.433

Step-by-step explanation:

Answer:

middle term = 7x

Step-by-step explanation:

in order to find the middle term, we will expand the bracket on the left hand side and compare the expressions on both sides.

(x + 2) (3x + 1) = 3x² + ___ + 2

let the unknown expression = y

(x + 2) (3x + 1) = 3x² + y + 2

Expanding the bracket on the left hand side by multiplication:

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

= 3x² + x + 6x + 2

= 3x² + 7x + 2

Comparing with the expression on the right hand side:

3x² + 7x + 2 =  3x² + y + 2

∴ y = 7x

middle term = 7x

Answer:

this is the answer for the last one

Step-by-step explanation:

the answer is D) y=|x|+1

Sorry but i dont really know how to do the first two, good luck!!