Find the circumference of the pizza to the nearest whole numbe
7 in.

Answer: .0039

Step-by-step explanation:

Answer:

Holding Period Return (HPR) = 12.47% (Approx)

Step-by-step explanation:

Given:

Purchase price of bond = $911.72

Interest received = $32

Ending price of bond = $993.39

Find:

Holding period return (HPR) = ?

Computation:

⇒ Holding Period Return (HPR) = [Ending price of bond - Purchase price of bond + Interest received] / Purchase price of bond

⇒ Holding Period Return (HPR) = [$993.39 - $911.72 + $32] / $911.72

⇒ Holding Period Return (HPR) = [$113.67] / $911.72

⇒ Holding Period Return (HPR) = 0.12467

⇒ Holding Period Return (HPR) = 12.47% (Approx)

Answer:

a) [tex] z = \frac{40-35.33}{1.794}= 2.60[/tex]

b) [tex] z = \frac{40-35.33}{1.794}= 2.60[/tex]

c) [tex] z = \frac{30-35.33}{1.794}= -2.97[/tex]

Step-by-step explanation:

For this case we know that the mean for the random variable of interest is [tex]\mu = 35.33[/tex] and the variance [tex]\sigma^2 = 3.22[/tex] so then the deviation would be [tex]\sigma = \sqrt{3.22}= 1.794[/tex]

The z score is given by thsi formula:

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

Part a

We want this probability:

[tex] P(X>40)[/tex]

And if we find the z score we got:

[tex] z = \frac{40-35.33}{1.794}= 2.60[/tex]

And we can find this probability: [tex] P(Z>2.60)[/tex]

Part b

We want this probability:

[tex] P(X<40)[/tex]

And if we find the z score we got:

[tex] z = \frac{40-35.33}{1.794}= 2.60[/tex]

And we can find this probability: [tex] P(Z<2.60)[/tex]

Part c

We want this probability:

[tex] P(X<30)[/tex]

And if we find the z score we got:

[tex] z = \frac{30-35.33}{1.794}= -2.97[/tex]

And we can find this probability: [tex] P(Z<-2.97)[/tex]

90.32% probability that it is within regulation weight

(a) The probability that a selected ball is within regulation weight is 84%.

(b) Probability of at least 15 of 16 balls withing regulation weight is 10.5%.

(c) The probability of average weight of more than 147 grams is 66.67%.

The probability of baseball within regulation weight is calculated as follows;

one standard deviation above the mean = M + d = 84%

two standard deviation above the mean = M + 2d = 98%

where;

one standard deviation above the mean = 146 g + 2.3 g = 148.3 g

two standard deviation above the mean = 146 g + 2(2.3g) = 150.6 g

150.6 g is above regulation weight.

Thus, when a baseball is randomly selected, the probability that it is within regulation weight is 84%.

outcome = (15, 16) = 2 outcome

P = 2/16 x 84%

P = 10.5%

Mean of the distribution = 146 = 50%

Average weight more than 147g = ?

Maximum weight of 149g = 100%

(147 - 146)/(149 - 146) = (? - 50)/(100 - 50)

0.333 = (? - 50)/(50)

50(0.333) = ? - 50

? = 50(0.333)  + 50

? = 66.67%

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Answer:

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

Step-by-step explanation:

Given:

Length of diagonal = 9 in

Find:

Total length of iron needed to make the square frame and two diagonals.

Computation:

Area of square = 1/2(diagonal)²

Area of square = 1/2(9)²

Area of square = 40.5 in²

Area of square = Side × Side

40.5 in² = Side × Side

Side = 6.36 (approx)

Total length of iron needed to make the square frame and two diagonals = Permeter of square + (2 × diagonal)

⇒ (4 × 6.36) + (2 × 9)

⇒ (25.44) + (18)

⇒ 43.44 in

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

Answer:

"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."

Step-by-step explanation:

A Type I error happens when a true null hypothesis is rejected.

In this case, as the claim that want to be tested is that the average wind speed is significantly higher than 15 mph, the null hypothesis has to state the opposite: the average wind speed is equal or less than 15 mph.

Then, with this null hypothesis, the Type I error implies a rejection of the hypothesis that the average wind speed is equal or less than 15 mph. This is equivalent to say that there is evidence that the average speed is significantly higher than 15 mph.

"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."

Answer and Step-by-step explanation:

We want to verify that (1 + cos(2θ)) / 2cos(θ) = cos(θ).

Let's focus on the left side. Look at cos(2θ). This is an identity, so remember that cos(2θ) = cos²θ - sin²θ. Also, look at the 1. Remember that sin²θ + cos²θ = 1, so plug both of these expressions into our equation:

(1 + cos(2θ)) / 2cos(θ) =? cos(θ)

((sin²θ + cos²θ) + (cos²θ - sin²θ)) / 2cos(θ) =? cos(θ)

2cos²θ / 2cosθ =? cosθ

cosθ = cosθ

Thus, we have proved this is an identity.

Answer:

(1 + cos(2theta))/2cos(theta)

cos(2theta) = 2cos²(theta) - 1

(1 + 2cos²(theta) - 1)/2cos(thetal

2cos²(theta)/2cos(theta)

cos(theta)

Answer:

48.67% probability that the tires will fail within two years of the date of purchase

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

In this question:

[tex]m = 3, \mu = \frac{1}[3}[/tex]

[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3}} = 0.4867[/tex]

48.67% probability that the tires will fail within two years of the date of purchase

Answer:

15% increase per year.

Step-by-step explanation:

5,600 - 3,500 = 2,100

2,100 is what percent of 3,500?

2,100 = X*3,500

X =  2,100 / 3,500

X = .60 or 60%

An average of 15% increase per year.

Answer:

the population of a town increased from 3450 and 2006 to 51,50 and 2010 find the absolutes and relative percent increase

Step-by-step explanation:

Answer:

Probability of getting a sample with 14% rebellious humans or more is 0.0104.

Step-by-step explanation:

We are given that an alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10%.

They abducted a random sample of 400 humans, performed special psychological tests, and found that 14% of the sample are rebellious.

Let p = population proportion rebellious humans

The z score probability distribution for sample proportion is given by;

                             Z  =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat[/tex][tex]\hat p[/tex] = sample proportion rebellious humans = 14%

            n = sample of humans = 400

            p = population proportion rebellious humans = 10%

Now, probability of getting a sample with 14% rebellious humans or more is given by = P( [tex]\hat p[/tex] [tex]\geq[/tex] 14%)

         P( [tex]\hat p[/tex] [tex]\geq[/tex] 0.14) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] [tex]\geq[/tex] [tex]\frac{0.14-0.10}{\sqrt{\frac{0.14(1-0.14)}{400} } }[/tex] ) = P(Z [tex]\geq[/tex] 2.31)

                            = 1 - P(Z < 2.31) = 1 - 0.9896 = 0.0104

The above probability is calculated by looking at the value of x = 2.31 in the z table which has an area of 0.9896.

Hence, the required probability is 0.0104.

Answer:

It's 0.7% (make sure to include the % sign)

Step-by-step explanation:

Khan Academy

Answer:

there is no question

Step-by-step explanation:

It looks like the owner plays dirty, meaning he uses a trick of some kind to somehow influence the outcome in such a way, that it's outcome is no longer random.

By influencing the outcome, the owner can obtain an advantage over the playeers who are not aware of the trick or skill involved.

This is unfair and can be considered "dirty". This game is 'fixed'.

Answer:

..........

Step-by-step explanation:

x + 114 + 33 = 180

x= 33

Answer:

D. (x - 8) (x - 8)

Step-by-step explanation:

-16x must be split into two terms that can be added to get -16, and multiplied to get 64. The only two terms that can satisfy this, is -8.

(x - 8) (x - 8)

If you're unsure about whether it's correct, you can multiply the two together to see if you get your original expression, [tex]x^2-16x +64[/tex], as your answer.

Answer:

Which expression can you use to find 23% of 52? "0.23 x 52"

23% of $52 is $. "11.96"

An easy way to check your answer is to use the friendly 25% and divide 52 by 4 to get 13.

Step-by-step explanation:

just did it good luck everyone

23% of $52 is $11.96.

In order to determine the value of 23% of $52, we would multiply 23% by $52. Multiplication is a basic mathematical operation that entails adding a certain number by itself a certain number of times. The sign used to represent multiplication is ×.

23% x 52

= 0.23 x 52 = $11.96

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Answer:

The null and alternative hypothesis for this study are:

[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]P-value=P(z<-2.624)=0.004[/tex]

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Answer:

(2,7)

Step-by-step explanation:

In the attached file

Answer:

Step-by-step explanation:

The question says,

A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. One of the simplest wagers chooses red or black. A bet of $1 on red returns $2 if the ball lands in a red slot. Otherwise, the player loses his dollar. When gamblers bet on red or black, the two green slots belong to the house. Because the probability of winning $2 is 18/38, the mean payoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numbers tells us about what will happen if a gambler makes very many betson red.

The law of large numbers tells us that as the gambler makes many bets, they will have an average payoff of which is equivalent to 0.947.

Therefore, if the gambler makes n bets of $1, and as the n grows/increase large, they will have only $0.947*n out of the original $n.

That is as n increases the gamblers will get $0.947 in n places

More generally, as the gambler makes a large number of bets on red, they will lose money.

Answer: 4800

Step-by-step explanation: 80 x 60 = 4800

Answer:

Parallel, since [tex]\vec u = 2\cdot \vec v[/tex].

Step-by-step explanation:

The relation between both vectors is determined by the use of the dot product, whose expression is:

[tex]\cos \theta = \frac{\vec u \bullet \vec v}{\|\vec u\| \|\vec v\|}[/tex]

Where:

[tex]\cos \theta = 1[/tex] if vectors are parallel to each other and [tex]\cos \theta = 0[/tex] if vectors are orthogonal. Then, norms and dot product are calculated hereafter:

[tex]\|\vec u\| = \sqrt{18^{2}+8^{2}}[/tex]

[tex]\|\vec u\| \approx 19.698[/tex]

[tex]\|\vec v \| = \sqrt{9^{2}+4^{2}}[/tex]

[tex]\|\vec v\| \approx 9.849[/tex]

[tex]\vec u \bullet \vec v = (18)\cdot (9) + (8)\cdot (4)[/tex]

[tex]\vec u \bullet \vec v = 194[/tex]

[tex]\cos \theta = \frac{194}{(19.698)\cdot (9.849)}[/tex]

[tex]\cos \theta = 1[/tex]

The two vectors are parallel to each other, which is also supported by the fact that one vector is multiply of the other one. That is,

[tex]18i + 8j = 2\cdot (9i + 4j)[/tex]

[tex]\vec u = 2\cdot \vec v[/tex]

Answer:

z =2.76

Step-by-step explanation:

z - 2.3 = 0.46

Add 2.3 to each side

z - 2.3+2.3 = 0.46+2.3

z =2.76

First, turn the mixed numbers into improper fractions.

7 7/9 = 70/9

7 4/5 = 39/5

Second, find common denominators.

70/9 = 350/45

39/5 = 351/45

351/45 > 350/45

Therefore, 7 4/5 is greater.

Best of Luck!

Answer:9%

U already provided the answer. Anyways have a good day!!

The probability of choosing a captain that is a girl two days in a row is 9%

The given parameters are:

Boys = 21

Girls = 9

The total number of students is

Total = 21 + 9

Total = 30

This means that the probability of selecting a girl is:

P(Girl) = 9/30

For two days, the required probability is

P = 9/30 * 9/30

Evaluate

P = 9%

Hence, the probability of choosing a captain that is a girl two days in a row is 9%

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Answer:

101010 classmates can't tell their dreams.

Step-by-step explanation:

I'm not sure what the question is, but if it is an average thing than 444 of 555 is 80 percent, so if that is what it wants 404040 of the students can share their dreams, and 101010 can't.

Hope this helps!

The automobile is 35 miles away from the airport

Answer:

c. At a = .05, there is sufficient evidence of difference among at least two of the substandard work scale means for the four leadership styles.

Step-by-step explanation:

From the given output, df(Between)=3

df (Between) =k-1, where, k denotes number of groups. Therefore, k-1=3, k=4.

Thus the null hypothesis is as follows:

H0:mu1=mu2=mu3=mu4 (there is no difference in substandard work scale means for four leadership styles)

H1: At least one mean scale is different from another.

Per rule, reject H0, if p value corresponding to F test statistic is less than given level of significance, alpha=0.05.

Here, F(3, 56)=6.056, p<0.05 (the p value is 0.0012). Therefore, reject H0, and conclude that at least one substandard work scale mean of a leadership is significantly different from a substandard work scale mean of another leadership.

Answer:

3/4

Step-by-step explanation:

Take Kitzen's number of raffle tickets and put them over Ava's tickets to give you 12/16 and the simplify which gives you 3/4 because the fraction is divisible by 4.

Answer:

Vertex: (3, 5)

Axis of symmetry: x=3

Answer:

one

Step-by-step explanation:

3x + 20 = 5x

20 = 5x - 3x

20 = 2x

x = 10

one solution

Answer:

Slope = -4

Step-by-step explanation:

Slope intercept form: y = mx + b

m = slope

b = y-intercept

Since m represents the slope, then your slope will equal -4.