Kenneth collected data from a random sample of 800 voters in his city asking whether or not they would vote to reelect the current governor. Based on the results, he reports that 64% of the voters in his state would vote to reelect the current governor. Why is this statistic misleading?

Answer: 30%

Step-by-step explanation:

The total answers count 20 - it's 100%, so we to get a 1% value, divide 20 by 100 to get 0.20. Next, calculate the percentage of 6: divide 6 by 1% value (0.20), and you get 30.00% (30%)

Answer:

Patel’s initial deposit was $3000

Step-by-step explanation:

Given:

Simple interest (S.I.) = 5%

Time period (t) = 10 years

Interest earned (r) = $1500

To find: Patel’s initial deposit

Solution:

Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.

Let p denotes original amount of a loan

\(S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000\)

So, Patel’s initial deposit was $3000

Answer:

Hitting a tennis ball over a net.

Step-by-step explanation:

B,C,D are non-rigid

Answer:

3.2 hours.

Step-by-step explanation:

166.4m=52 miles per hour

Now 3.2 would be the accurate hours he drove.

The equation that shows the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p) is p = 3b

In basket ball, If a shot is successfully scored from outside of the three-point line, three points are awarded.

The variables are b and p.

where

p = number of points scored

b = number of basket made outside the three point line.

Variables are numbers represented with letters in a mathematical expression.

Therefore, the equation that shows the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p) is as follows:

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Answer:

P = 3b

Step-by-step explanation:

The numbers can be a solution for the inequality 32+a>44 is 13 and 14.

If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.

Given that;

The inequality= 32+a>44

To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.

32 + a > 44

Subtract 32 from both sides:

a > 44 - 32

a > 12

This means that any number greater than 12 can be a solution to the inequality.

Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.

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Answer:

B) Subtract 12-4 to calculate the range of this data set

Answer:

Explained below.

Step-by-step explanation:

From the information provided:

\(n=25\\\bar x=85272\\s=11039.23\)

(a)

A hypothesis test is to performed to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000.

The hypothesis is:

H₀: The population mean annual administrator salary in Ohio is same as the national mean of $90,000, i.e. μ = 90000.

Hₐ: The population mean annual administrator salary in Ohio is different from the national mean of $90,000, i.e. μ ≠ 90000.

(b)

As the population standard deviation is not provided, a t-test will be used.

The test statistic value is:

\(t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{85272-90000}{11039.23/\sqrt{25}}=-2.14\)

Compute the p-value of the test as follows:

\(p-value=2\times P(t_{n-1}<t)\\\\=2\times P(t_{24}<-2.14)\\\\=2\times P(t_{24}>2.14)\\\\=2\times 0.022\\\\=0.044\)

*Use a t-table.

Thus, the p-value of the test is 0.044.

(c)

The significance level of the test is, α = 0.05.

Decision rule:

Reject the null hypothesis if the p-value is less than the significance level.

p-value = 0.044 < α = 0.05.

The null hypothesis will be rejected at 5% level of significance.

Conclusion:

There is enough evidence to support the claim that the population mean annual administrator salary in Ohio differ from the national mean of $90,000.

(d)

The critical value of t is:

\(t_{\alpha/2, (n-1)}=t_{0.05/2, 24}=\pm 2.064\)

The rejection region  can be defined as follows:

\(t<-2.064\ \text{and}\ t>2.064\)

The test statistic value is, t = -2.14.

The test statistic value lies in the rejection region.

Thus, the null hypothesis will be rejected concluding that the population mean annual administrator salary in Ohio differ from the national mean of $90,000.

Answer:  x    =   -3

Step-by-step explanation:

3(x + 1) = -6

Divide both sides by 3:   3(x + 1) / 3 = -6 / 3

                                              x + 1 = -2

Subtract 1 from each side:   x + 1 - 1 = -2 - 1

                                                      x    =   -3

Answer:

57 inches in yards is = 1.58333

Step-by-step explanation:

divide the length value by 36

Answer:

The length of the arc is 15.7 centimeters

Step-by-step explanation:

The central angle measures 90 degrees. In order to find the length of the arc, we need to find the total circumference of the circle.

Circumference formula = pi x diameter
The diameter is just the radius doubled

pi x (10 + 10)
pi x 20 = 62.8

The total circumference is 62.8. We know that there are 360 degrees in a circle and 90 is 1/4 of 360.

So 62.8 / 4 = 15.7

The arc should be 15.7 cm

i think this is correct, sorry if its not

The graph of g(x) will have the same shape as f(x) = |x|, but it will be shifted 12 units to the right and 9 units down.The fomula is g(x) = |x - 12| - 9

To obtain the function g(x) by shifting the graph of f(x) = |x| down 9 units and to the right 12 units, we can use the following formula:

g(x) = |x - 12| - 9.Let's break down the formula:

|x - 12| represents the absolute value function shifted 12 units to the right. This shift ensures that any point (x, y) on the original graph f(x) is now located at (x - 12, y) on the new graph.

Subtracting 9 from |x - 12| shifts the entire graph 9 units down, resulting in the desired vertical shift.

By combining these two operations, we obtain the formula g(x) = |x - 12| - 9, which represents the function obtained after the specified shifts.

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Answer:

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Definitions:

The given angles are:

Answer:

a) 0.9998

b) 0.9979

c) 0.7

d) 0.9155

Step-by-step explanation:

P( people who wear their ties tightly ) = 0.3

P( people who do not wear their ties tightly ) = 1 - 0.3 = 0.7

sample size ( n ) = 30

Given that the events are independent and there are only two outcomes we will apply Binomial distribution

a) P( at least one tie is too tight )

P ( x ≥ 1 ) = 1 - P ( x < 1 ) = 1 - P ( x = 0 )

       = 1 - 0.00002 = 0.9998 ( excel function: 1 - BINOMDIST(0,30,0.3,0) )

b) P( more than two ties are too tight )

P ( x > 2 ) = 1 - P ( x ≤ 2 ) = 1 - BINOMDIST(2, 30, 0.3, 1 )

                                       = 1 - 0.002113178

                                       = 0.9979

c) P ( no tie is tight )

P ( x = 0 ) = 0.7

d) P( at least 18 ties are not too tight )    i.e. ( P = 0.7 )

   P ( x ≥ 18 ) = 1 - P( x ≤  17 )

                     = 1 - BINOMDIST ( 17, 30, 0.7, 1 )

                     = 1 -  0.08447006

                    = 0.9155

Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

Step-by-step explanation:

Actuaries in a town. ... his earning is equivalent to the select an answer an Actuaries, and he is making less

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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The value of z in the circle is 2.3 units

In the question, the following statements represents the given parameters

As a general rule, the diameter of a circle is the radius doubled

So, we have

2 * (z + 3.6) = 11 4/5

Express as decimal

2 * (z + 3.6) = 11.8

So, we have

z + 3.6 = 5.9

Evaluate the like terms

z = 2.3

Hence, the value of z is 2.3

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Answer:

f(x)  :  exponential growth

g(x);  exponential growth

h(x):  exponential growth

j(x):   exponential decay

Step-by-step explanation:

In an exponential function such as
\(m(x) = a \cdot b^x\)

the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative

If b > 1, it is a growth function

If b < 1 then it is a decay function

If b = 1 neither growth or decay function values are constant

In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function

Answer:

O f(x)  :  exponential growth

O g(x);  exponential growth

O h(x):  exponential growth

O j(x):   exponential decay

Step-by-step explanation: I used to do this before :)

Answer:

why there is no problem i do not see it

Step-by-step explanation:

Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

Answer:

See the python code in the description below

Step-by-step explanation:

A Python program that calculates how many seconds in a week

Step one:

One Minute = 60 Seconds

One Hour = 60 Minutes

One Day = 24 Hours

One Week = 7 Days

Step two:

#Initialize the number of seconds in a week

number_of_weeks= int(input("enter the number of weeks here: "))

number_of_seconds_in_a_week=60*60*24*7*number_of_weeks

print("the number of seconds in", number_of_weeks, "week(s)", "is", number_of_seconds_in_a_week )

Answer:

Step-by-step explanation:

problem 13:

12g+24, 3(4g+8)

problem 14

9a+6, 3(a+2)+6a

6(a+1)+3a

Answer:

8.06 ft or \(\sqrt{65}\)  ft

Step-by-step explanation:

Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you \(\sqrt{65}\)  ft per side. This can be approximated to 8.06 ft.

Hence, the point on the ray is \(x > 2\).

What is the number line?

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides

Here given that,

Use the number line to represent the solution to \(x + 3 > 5.\)

i.e.,

\(x+3 > 5\\\\x > 5-3\\\\x > 2\)

Hence, the point on the ray is \(x > 2\).

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In given word problem ,

a) 2040  more kilojoules of energy would you use in an hour of jogging than an hour of swimming .

b)  45 minutes 2 seconds of walking would you have to do to burn up the 1,130 kilojoules in a candy bar.

What is word problem ?

   Our extensive collection of math word problems ranges from addition, subtraction, multiplication, and division to more specialised operations. Mathematical questions that are written as one or more sentences and ask students to use their mathematical understanding to solve problems from "real-life" situations are known as word problems. As a result, for kids to understand the word problem, they need to be familiar with the terminology that goes along with the mathematical symbols that they are already used to.

Here the given ,

=> 1 minute walking = 25 kilojoules

=> 1 minute jogging = 84 kilojoules

=> 1 minute swimming = 50 kilojoules.

a) 1 hour = 60 minutes.

1 hour jogging = 60*84 = 5040 kilojoules.

1 hour swimming = 60*50 = 3000

Then , => 5040-3000=2040 kilojoules.

Therefore 2040  more kilojoules of energy would you use in an hour of jogging than an hour of swimming .

b) x minute of walking = 1130 kilojoules.

=> 25*x=1130

=> x = 1130/25 = 45minutes 2 seconds.

Therefore 45 minutes 2 seconds of walking would you have to

do to burn up the 1,130 kilojoules in a candy bar.

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Step-by-step explanation:

from the first line s

y - 7 = 9/10 × (x - 4)

we only need the slope, which is 9/10.

the -7 did not disturb this. only if y had a factor different to 1, we would have to re-simplify the equation to get the slope.

remember, a slope expresses the ratio (y change / x change).

a perpendicular slope note turns the y/x ratio upside-down and flips the sign.

so, 9/10 turns into -10/9, which is the slope of the new line t.

we can use the point-slope form to incorporate the given point and get the y-intercept for the final slope-intercept equation :

y - 6 = -10/9 × (x - -6) = -10/9 × (x + 6) =

= -10/9 × x - 60/9 = -10/9 × x - 20/3

y = -10/9 × x - 20/3 + 6 = -10/9 × x - 20/3 + 18/3 =

= -10/9 × x - 2/3

the line t is

y = -10/9 × x - 2/3

Answer:

A) 50 km : 45 km : 65 km

B) 18:45:3

Step-by-step explanation:

A) 160 km in the ratio 10:9:13

10:9:3 ⇔ 50 km : 45 km : 65 km

B) 66 in the ratio 6:15:1

6:15:1  ⇔ 18:45:3