based on data from a statistical abstract, only about 17% of senior citizens (65 years old or older) get the flu each year. however, about 23% of the people under 65 years old get the flu each year. in the general population, there are 10% senior citizens (65 years old or older). (round your answers to three decimal places.) (a) what is the probability that a person selected at random from the general population is senior citizen who will get the flu this season? (b) what is the probability that a person selected at random from the general population is a person under age 65 who will get the flu this year? (c) repeat parts (a) and (b) for a community that has 91% senior citizens. (a) (b) (d) repeat parts (a) and (b) for a community that has 52% senior citizens. (a) (b) g

The weight of the piknits can be used to predict the number of gogles as there is Linear equation in variables may be defined as a linear courting among x and y, that is, variables.

In this case, x is the impartial variable, and y relies upon on it, so y is known as the established variables.

linear courting (or linear association) is a statistical time period used to explain a straight-line courting among variables. Linear relationships may be expressed both in a graphical layout or as a mathematical equation of the shape y = mx + b.

"There is no linear relationship between the weight of the and the number of glasses"

"There is a linear relationship.

A. Yes, because the scatterplot shows a linear pattern.

C. Yes, because a random sample was taken from Piknits for the scatterplots of the 4th and 5th residuals is.

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Therefore the answer to the problem is that the sample taken for study is 20 cheerleaders .

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

Here,

The sample of this study is the 20 cheerleaders which are taken for study.

Explanation: As the study of banana effect on speed and endurance of high school cheerleaders is been studied on the 20 selected cheerleaders from high schools in california so, as they are only 20 cheerleaders not all cheerleaders from california thus, the sample available is 20 cheerleaders so answer of sample becomes 20 cheerleaders.

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Its -14  :>

Randoml spam letters bc it asked me to

Answer:

D

Step-by-step explanation:

C is the point - 4

the opposite of a number is its negative , that is

- (- 4) = + 4

the opposite of point C is therefore 4

In geometry, the perimeter is the overall length of a shape's boundary. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. 28 units make up Figure I's perimeter.

Its dimensions are expressed in linear units like centimetres, metres, inches, and feet. A rectangle in Figure I has four sides that are 8 units, 6 units, 6 units, and 8 units in length. You must total the lengths of all four sides in order to get a rectangle's perimeter. Figure I's perimeter is 8 + 6 + 6 + 8 units, or 28 units.

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The value of x, if In triangle ABC, AC = 18, BC = 30 is 24.

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

In triangle ABC, AC = 18, BC = 30

As we know, if a tangent is drawn from the circle then it will form a right-angled triangle thus, ∠ ABC = 90°,

Calculate the value of x by using Pythagoras' theorem as shown below,

[tex]x^2 = BC^2 - AC^2[/tex]

x² = 30² - 18²

x = √(900 - 324)

x = √576

x = 24

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Answer:

$6

Step-by-step explanation:

The total number of items collected for relief is 200.

In order to write a linear equation first find the quantity of which the value is not given. Then, relate the value of this quantity with all the known values to form an equation.

Suppose the number of relief items are x.

The following equation can be written according to the problem,

10% of x = 20

=> 10/100 × x = 20

=> x = (20 × 100)/10

=> x = 200

Hence, the items collected by Hurricane Relief Foundation is given as 200.

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Answer: A, C, 57

Step-by-step explanation:

I multiply by 0.40 for the first one, and then multiply by 1.0625. 0.40 = 40% and multiplying by 1.0625 is the same as adding 6.25%. For the second, I multiply by 0.70 because that is 70%. For the last, I multiply by 0.95 for the same reason.

the total way the committee formed is 3080.

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

The available candidates from a group are 8 Democrats and 11 Republicans.

Three Democrats and two Republicans must be included on the committee that we choose.

Thus, from a pool of 11 Republicans and 8 Democrats, we must select 3 each.

Both 8C3 and 11C2 approaches are viable for achieving this.

8C3 * 11C2 = 3080 are the total ways to form this committee.

Hence the total way the committee formed is 3080.

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Answer: 81.9 ??

Step-by-step explanation:

The possible ordered pairs set for the values in domain D is {(-6,11),(-5,9),(-2,3),(0,-1),(1,-3)}. The above graph shows the plot of these ordered pairs.

We have given that

y = -2x - 1 --(1)

Domain , D = {-6, -5, -2, 0, 1}

now, we find out the values of y for corresponding to given domain value.

y = -2(-6) -1 = 11

the first ordered pair is (-6,11).

y = -2(-5) - 1 = 9

The second order pair is (-5,9).

y = -2(-2) - 1 = 3

The third ordered pair is (-2,3).

y = 0 -1 = -1

The fourth ordered pair is (0, -1).

y = -2(1) - 1 = -3

The fifth ordered pair is ( 1, -3).

Now, we get all the possible ordered pairs from domain for plotting.

We can easily plot these points on 2-D graph taking y values on y-axis and domain points on x-axis.

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Complete question:

Use the drawing tools to form the correct answers on the graph. Consider this linear function: y = -2x - 1

Plot all of the ordered pairs for the values in the domain. D: {-6, -5, -2, 0, 1} Drawing Tools Click on a tool to begin drawing. (Plato)

Answer:

( a + 5 ) ( a + 6 )

? maybe

Step-by-step explanation:

I really don't know how to explain

The equation of line d is perpendicular to line c is y=-4/3 x+5.

The equation of line is y=3/4 x-2.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line.

In the equation of line is y=3/4 x-2, slope=m=3/4

The slope of a line perpendicular to given line is m1=-1/m2

So, the slope of a perpendicular line is -4/3

Substitute m=-4/3 and (x, y)=(6, -3) in y=mx+c, we get

-3=-4/3 (6)+c

⇒ -3=-8+c

⇒ c=5

Now, substitute m=-4/3 and c=5 in y=mx+c, we get

y=-4/3 x+5

Therefore, the equation of line d is perpendicular to line c is y=-4/3 x+5.

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The sample of 800 residents to analyze the voting habit is not large enough because there can be a selection bias the solution is explained below.

In the question ,

it is given that ,

a sample of 800 residents of a city is taken to analyze the voting habits of all the residents ,

the population of the city is given as 150000 residents ,

In general, a sample of 800 people in a city of 150,000 is not large enough to analyze the voting habits. With the given sample size, there is a high chance that we will miss out to analyze many people with different voting habits.

If the margin of error in analyzing the voting habits is very large , then only we can consider a sample of 800 people.

Therefore , the sample of 800residents  can only be considered if the margin of error is very high .

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To find the speed of the walker, divide distance by time.

Distance = 4.5 miles

Time = 0.75 hours

Speed = 4.5/0.75

Speed = 6 mph

If walking twice as fast, speed = 12 mph

Distance given speed and time is time multiplied by speed

0.75 * 12 = 9 miles.

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

The equation that represents the relation between length and weight of a species of fish is y = 0.903 (1.087)^x.

What is exponential function?

A mathematical function with the formula f (x) = a^x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.

Given table is

Length(in.)    4            6       8        10          12

Weight(lb)     1.26      1.49   1.76    2.08       2.45

Assume the exponential function be:

y = ab^x

Putting x = 4 and y = 1.26 in the exponential function:

1.26 = ab⁴  ....(i)

Putting x = 6 and y = 1.49 in the exponential function:

1.49 = ab⁶  ...(ii)

Divide equation (ii) by (i)

1.49/1.26 = ab⁶/ab⁴

149/126 = b⁶/b⁴

149/126 = b⁶⁻⁴

149/126 = b²

b = 1.0874

b  ≈ 1.087

Putting b = 1.087 in equation (i)

1.26 = a(1.087)⁴

a = 1.26/(1.087)⁴

a = 0.9025

a ≈ 0.903

Therefore, y = 0.903 (1.087)^x

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

42.3 x 1 = 42.3

42.3 x 10= 423

42.3 x 10^2=

    10 x 10 =100

42.3 x 100=4230

The equation of the line passing through the point (1, -2) and cutting off equal intercepts from the axes will be x + y +1 = 0.

The equation of the line in the intercept form is expressed as

x/a + y/b = 1

where a is x intercept, b is y intercept and x and y are independent and dependent variables respectively.

Now, according to the question both the intercepts are equal that is

a = b

So, the equation will become

x/a + y/a = 1

x + y = a

Now, since the line passes through (1, -2), so

1 + (-2) = a

=> a = -1

So, the equation of line will be

x + y = -1 or x + y +1 = 0.

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Complete Question:

What is the equation of the straight line which passes through the point (1, -2) and cuts off equal intercepts from the axes?

The values of x in the cyclic quadrilateral are 6.67 and 25 and the angle

m∠ ACB is 115°

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral. The circle which consists of all the vertices of any polygon on its circumference is known as the circumcircle.

1)

To find the value of x

12/8 = 10 / x

x = 20 / 3

x = 6.67

2) To find x;

(4x + 15)° + (6x + 3)° + 92° = 360°

Sum of angles in a circle is 360°

4x + 15 + 6x + 3 + 92 = 360

10x + 110 = 360

10x = 250

x = 25

The value of m ∠ACB in the quadrilateral  = 4x + 15

m∠ ACB = 4(25) + 15

m ∠ ACB = 115°

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The expected value of the sample mean of the values obtained in these 300 tosses is 3.5

Given :

A fair six sided die is tossed 300 times

We have to find the expected value of the sample mean of the values obtained in these 300 tosses.

A dice have six sides:

In a fair dice every side has equal chance of occurrence,

Now the probability of presence of each side = 1/6

Now the expected value of the sample mean of the values obtained in these 300 tosses is given by:

E(x) = Σx P(x =x)

= 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6

= 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6

= 1/6 (1+2+3+4+5+6)

= 1/6 (21)

= 21/6

E(x) = 3.5

Hence, the expected value of the sample mean of the values obtained in these 300 tosses is 3.5

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The answer is 99 and the remainder is 16

Margin of error is statistical expressing the amount of a random sampling error in survay results not the error term from biased sampling method. So, correct answer is False.

Margin of error in statistics represents the amount of random sampling error in the survey results. The larger the margin of error, the less confident that the survey results reflect the results of the census of the entire population. It is denoted by E or MOE. It is calculated by dividing the square root of the sample size by the standard deviation of the population. 99% level is the most conservative, 90% level is the least conservative. The sampling error is a statistical error that occurs when the analyst does not select a sample that is representative of the entire data population.

False - Margin of error only account for sample variability (the fact that my sample differs from many others' samples and therefore provides different statistics.

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The upper limit and lower control limits will be 56 and 44 respectively.

What is statistical process control ?

When the process is under control, there will be a high possibility that the value of the sample mean will fall between the two control limits, which is why the lower line, also known as the lower control limit, was chosen.

Mean = 50

Sample size = 16

Standard deviation = 8

We need to find the upper and lower control limits.

So, Lower limit would be

= x - 3×σ÷

= 50 - 3×8÷

= 50 - 3×2

= 50 - 6

= 44

Upper limit would be

= x + 3×σ÷

= 50 + 3×8÷    

= 50 + 3×2

= 50 + 6

= 56

The upper and lower control limits of process will be 56 and 44 respectively

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The rate of change of the area of the triangle at that instant is 8.5 square mm per minute.

A' = (1/2)(b'h +bh') .  differentiating with respect to time

A' = (1/2)((-13)(1) +(5)(6)) = (1/2)(17) = 8.5 . . . . mm²/min

The area is increasing at the rate of 8.5 mm²/min.

Solution based on numbers

Take a look at the triangle dimensions.

01 minute before and 01 minutes after the moment of interest Previously, the base was 5 + 0.13 = 5.13 mm, while the height was 1 - 0.06 = 0.94 mm. After: base = 5 -0.13 = 4.87 mm; height = 1 +.06 = 1.06 mm; area = 2.4111 mm2. 2.5811 mm2 area

The average rate of change throughout that time period is (2.5811 -2.4111)/0.02 =.17/.02 = 8.5... mm2/min.

It should be noted that we assumed the base is dropping at a rate of 13 mm/min. We're not sure whether this isn't 1/3 mm/min because division bars frequently get lost on Brainly. At the anticipated pace, the triangle will vanish in 5/13 minutes, or around 23.08 seconds, when the base reaches zero. Of course, it only existed for 1/6 minute (10 seconds) when the height reached non-zero.

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Yes, construction of a quadrilateral is possible when the four sides and one of the diagonal of the quadrilateral is given.

Step by Step explanation:

Steps of constructions of a quadrilateral with four given sides and one given diagonal is as follow :

Therefore, construction of quadrilateral is possible with four sides and given diagonal.

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The number 1 is a square number but not a prime number.

Any integer with the notation n×n or n² is referred to as a square number. When a number is multiplied by itself, the outcome is a square number. Here, 1 is a square number because 1×1=1 is the number itself.

Prime numbers are those that have just two elements, one and themselves. They are natural numbers bigger than one that is not the sum of two smaller natural numbers. Here, 1 is not a prime number because they have only one factor which is 1, not two factors.

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$24.34 on each student  on pae and $7.55125 is spent on each student on lunch.

Money is a good that is widely acknowledged as a means of economic exchange.

there are 32 people all together in a field trip to the zoo

so therefore;

Amount spent on a student for pae:

$778.88=32 people

x = 1 person

cross multiply

32x=$778.88

divide both sides by 32

x=778.88/32

x=$24.34

therefore $24.34 is spent on each student on pae

Amount spent on a student for lunch:

$241.64=32 people

x = 1 person

cross multiply

32x=$241.64

divide both sides by 32

x=$241.64/32

x=$7.55125

therefore $7.55125 is spent on each student on lunch.

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The integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.

A number system is defined as a system of writing to express numbers.

Given,

I go for a hike in Colorado. The top of the mountain is ___ feet above sea level.

We need to find the suitable integer in the blank.

The top of a mountain would be a high number above sea level, 144 is around ground level above sea level therefore the top of the mountain would be 14,000 feet above sea level

Hence, the integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.

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The amount of work done in compressing the spring from a length of 10 inches to a length of 5 inches is 63.75 in-lb .

In the question ,

it is given that ,

a force of 6 pounds compresses a 16-inch spring 4 inches ;

we know that F = k*x

So , 6 = k*4

k = 6/4 lb/inch .

Work done in compressing spring from 10 inches to 5 inches is

W = ∫₆¹¹ kx dx .

W = k[x²/2]₆¹¹ = (k/2)*[121 - 36] = 85k/2 .

Substituting the value of k = 6/4 , we get

the Work Done is = 85/2 × 6/4 = 63.75 in-lb .

Therefore , the work done in compression is 63.75 in-lb .

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a) The sampling distribution of the mean lifetime x is: Approximately normal with mean 55,000 and standard error 1591.

b) The probability that the sample mean lifetime is 51,800 miles or less if the lifetime distribution is unchanged is of 0.0222 = 2.22%. As the z-score has an absolute value greater than 2, it shows that this is an unusual measure, hence a conclusion could be drawn that there actually were changes in the distribution.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters for this problem are given as follows:

[tex]\mu = 55000, \sigma = 4500, n = 8, s = \frac{4500}{\sqrt{8}} = 1591[/tex]

The probability that the sample mean lifetime is 51,800 miles or less is the p-value of Z when X = 51,800, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (51800 - 5500)/1591

Z = -2.01.

Z = -2.01 has a p-value of 0.0222.

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