Can someone help this is really difficult for me

Answer:

Due to the lower z-score of the finishing time, Zandra was faster, that is, doing better in relation to her gender.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Whoever had the lower z-score was faster, that is, did better in relation to their gender.

Roberto:

63.2 minutes. Mean finishing time was 69.4 minutes with a standard deviation of 8.9 minutes. So [tex]X = 63.2, \mu = 69.4, \sigma = 8.9[/tex]

Then

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

[tex]Z = \frac{63.2 - 69.4}{8.9}[/tex]

[tex]Z = -0.7[/tex]

Zandra:

79.3 minutes. Mean finishing time was 84.7 minutes with a standard deviation of 7.4 minutes. So [tex]X = 79.3, \mu = 84.7, \sigma = 7.4[/tex]

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

[tex]Z = \frac{79.3 - 84.7}{7.4}[/tex]

[tex]Z = -0.73[/tex]

Due to the lower z-score of the finishing time, Zandra was faster, that is, doing better in relation to her gender.

Answer:

33

Step-by-step explanation:

OK so you just got to add the 15 with 18 and you'll get 33

Answer:

33

Step-by-step explanation:

Answer:

the value of x is x=1

Step-by-step explanation:

3x=3

x=3÷3

x=1

1.

Step-by-step explanation:

To find total choices, multiply the quantity of each part by each other:

5 x 13 x 4 = 260

Answer: 260 different meals.

Answer:

(B)[tex]\frac{10}{10}-\frac{7}{10}=\frac{3}{10}[/tex]

Step-by-step explanation:

The question is Incomplete. Find the complete question in the attachment.

Number of muffins made by Franco =12

Number of Badly Burnt Muffins =2

Number of non burned muffins =12-2=10

Franco served [tex]\frac{7}{10} $ of the non burned muffins = $ \frac{7}{10}*10=7$ muffins[/tex]

Therefore, the number of non burned muffins that remains =10-7 =3

We can then say the fraction of the non-burned muffins that remains[tex]=\frac{3}{10}[/tex]

Therefore, the correct equation is in Option B:

[tex]\frac{10}{10}-\frac{7}{10}=\frac{3}{10}[/tex]

Answer:

Step-by-step explanation:

Transformed of the function has been given as,

f(x) = [tex]\sqrt{(2x+6)}+3[/tex]

     = [tex]\sqrt{2}(\sqrt{x+3})+3[/tex]

Parent function of this transformed function = [tex]\sqrt{x}[/tex]

Vertical stretch = By a factor of [tex]\sqrt{2}[/tex]

Horizontal shift = 3 units to the left

Vertical shift = 3 units up

Now we can summarize these transformations as,

1). Parent function g(x) = [tex]\sqrt{x}[/tex] has been vertically stretched by a factor of [tex]\sqrt{2}[/tex]

2). Followed by the translations of 3 units left and 3 units up.

Answer:

(a)[tex]\dfrac{15}{32}[/tex]

(b) 17:15

Step-by-step explanation:

(a)

The roulette wheel has 32 slots (inclusive of 0 and 00)

Number of Odd Numbers between 1 to 30 =15

Since you are placing a bet that the outcome is an odd number.

[tex]P(\text{Winning})=\dfrac{\text{Number of Odd Numbers}}{\text{Total Number of Slots}} \\=\dfrac{15}{32}[/tex]

(b) The actual odds against​ winning

[tex]\text{Actual Odds against Winning})=\dfrac{32-15}{15}\\=\dfrac{17}{15}[/tex]

Therefore, the actual odds against​ winning are 17:15

Answer:

The best option is to buy Japanese Car.

Step-by-step explanation:

Fuel usage per year is 150000/ 8 = 18750 miles per year

Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5

Japanese Car:

Fuel usage 18750 / 23 = 815 * $3 = $2446  

Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372

Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860

Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804

Present value of cost at 5% = 24674.07

Cost of car is $30,000

Total cost = $54674.07

Amercian Car:

Cost $35,000

Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.

Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208

Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301

Insurance cost (Year 1 - 8) = $800, $827, $876, $898, $908, $932, $954, $934

Present value of cost at 5% = 25302.18

Cost of car is $35,000

Total cost = $60302.

German Car:

Cost = $45,000

Fuel usage 18750 / 21 = 892 * $3 = $2678  

Fuel charges (year 1 -8) = $2679, $2732, $2786, $2842. $2899, $2987, $3077, $3171

Repair Cost (year 1 - 8) = $1000, $1040, $1081, $1124, $1169, $1216, $1265, $1316

Insurance cost (Year 1 - 8) = $850, $867, $884, $902, $920, $938, $957, $976

Present value of cost at 5% = 27105.73

Cost of car is $45,000

Total cost = $72105.

Answer:

Step-by-step explanation:

A=18000(1+0.02)^11

A=22,380.74

Answer:

y≈22828

Step-by-step explanation:

Answer:

She had at least 21

Step-by-step explanation:

She had at least 4+ 12 +5  

She had at least 21

She spent 4 and 12 so she had 16 dollars

She had at least 5 left

so at the very least she had 16+5 which is 21, she may have had more

Answer:

21

Step-by-step explanation:

she spent 4 and 12 so she had 16 dollars so she have at least she have $5 left

Answer:

Step-by-step explanation:

Short answer: area is maximized when half the cost is spent in each of the orthogonal directions. This means the east and west sides will total $350 at $20 per foot, so will be 17.5 feet. The north and south sides will total $350 at $9 per foot, so will be 38 8/9 feet.

The dimensions that maximize the area are 17.5 ft in the north-south direction by 38 8/9 ft in the east-west direction.

__

Long answer: If x represents the length of the north and south sides, and y represents the length of the east and west sides, then the total cost is ...

  10y +10y +2x +7x = 700

  9x +20y = 700

  y = (700 -9x)/20

We want to maximize the area:

  A = xy = x(700 -9x)/20

We can do this by differentiating and setting the derivative to zero:

  dA/dx = 700/20 -9x/10 = 0

  350 -9x = 0 . . . . multiply by 10

  x = 350/9 = 38 8/9

  y = (700 -9(350/9))/20 = 350/20 = 17.5

The north and south sides are 38 8/9 ft long; the east and west sides are 17.5 ft long to maximize the area for the given cost.

Answer:

8/6 of a quart (4/3)

Step-by-step explanation:

thats more than she has, unless she has 2 quarts

The answer is 4/3

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex]r_4 = 65[/tex]

Step-by-step explanation:

Given

[tex]r_1 = 2[/tex]

[tex]r_n = 4r_{n-1} - 3[/tex]

Required

Find [tex]r_4[/tex]

Calculating the value of [tex]r_4[/tex]

This means n = 4;

Hence,

[tex]r_n = 4r_{n-1} - 3[/tex]

[tex]r_4 = 4r_{4-1} - 3[/tex]

[tex]r_4 = 4r_3 - 3[/tex]

At this point, we need to solve for [tex]r_3[/tex];

Taking n as 3

[tex]r_n = 4r_{n-1} - 3[/tex]

[tex]r_3 = 4r_{3-1} - 3[/tex]

[tex]r_3 = 4r_2 - 3[/tex]

At this point, we need to solve for [tex]r_2[/tex];

Taking n as 2

[tex]r_n = 4r_{n-1} - 3[/tex]

[tex]r_2 = 4r_{2-1} - 3[/tex]

[tex]r_2 = 4r_1 - 3[/tex]

Substitute 2 for [tex]r_1[/tex]

[tex]r_2 = 4 * 2 - 3[/tex]

[tex]r_2 = 8 - 3[/tex]

[tex]r_2 = 5[/tex]

Solving for [tex]r_3[/tex]

Substitute 5 for [tex]r_2[/tex]

[tex]r_3 = 4 * 5 - 3[/tex]

[tex]r_3 = 20 - 3[/tex]

[tex]r_3 = 17[/tex]

Solving for [tex]r_4[/tex]

Substitute 17 for [tex]r_3[/tex]

[tex]r_4 = 4 * 17 - 3[/tex]

[tex]r_4 = 68 - 3[/tex]

[tex]r_4 = 65[/tex]

Hence, [tex]r_4 = 65[/tex]

Answer:

There is not enough evidence to support the claim that single people who own pets are generally happier than single people without pets. (P-value=0.0509).

Step-by-step explanation:

We have to calculate the difference for every pair, and applied the hypothesis test to this sample of differences.

   Non-pet Pet --> Difference (d)

A 11 13 --> 2

B 9 8 --> -1

C 11 14 --> 3

D 13 13 --> 0

E 6 12 --> 6

F 9 11 --> 2

The claim is that single people who own pets are generally happier than single people without pets. In the context of the sample, it means that the difference between the metric of happiness between the pet and the non-pet subjects is bigger than 0.

The mean and standard deviation of the sample of differences is:

[tex]M=\dfrac{1}{6}\sum_{i=1}^{6}(2+(-1)+3+0+6+2)\\\\\\ M=\dfrac{12}{6}=2[/tex]

[tex]s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{6}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{5}\cdot [(2-(2))^2+(-1-(2))^2+(3-(2))^2+(0-(2))^2+(6-(2))^2+(2-(2))^2]}\\\\\\ s=\sqrt{\dfrac{1}{5}\cdot [(0)+(9)+(1)+(4)+(16)+(0)]}\\\\\\ s=\sqrt{\dfrac{30}{5}}=\sqrt{6}\\\\\\s=2.449[/tex]

Then we perform an hypothesis test for the population mean.

The claim is that single people who own pets are generally happier than single people without pets.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu_d=0\\\\H_a:\mu_d> 0[/tex]

The significance level is 0.05.

The sample has a size n=6.

The sample mean is M=2.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.449.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2.449}{\sqrt{6}}=0.9998[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2-0}{0.9998}=\dfrac{2}{0.9998}=2.0004[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=6-1=5[/tex]

This test is a right-tailed test, with 5 degrees of freedom and t=2.0004, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=P(t>2.0004)=0.0509[/tex]

As the P-value (0.0509) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that single people who own pets are generally happier than single people without pets.

Answer:

Step-by-step explanation:

Null hypothesis : [tex]H_0:\mu_d=0[/tex]

Alternative hypothesis: [tex]H_0:\mu_d>0[/tex]

Level pf significance [tex]\alpha =0.05[/tex]

Test statistic [tex]t = \frac{\bar d- \mu}{s_d/\sqrt{n} }[/tex]

Mean of difference

[tex]\bar d = \frac{\sum d_i}{n} = 12/6 = 2[/tex]

Standard deviation of difference

[tex]s_d=\sqrt{\frac{\sum (d_i- \bar d)}{n-1} } \\\\=\sqrt{\frac{30}{6.1} } \\\\=2.441[/tex]

Test statistic

[tex]t = \frac{\bar d- \mu}{s_d/\sqrt{n} }[/tex]

[tex]=\frac{2-0}{2.449/\sqrt{6} } \\\\=2.00[/tex]

Degree of freedom

df = n - 1

6-1 = 5

This test is a right-tailed test, with 5 degrees of freedom and t=2.0004, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=P(t>2.0004)=0.0509[/tex]

As the P-value (0.0509) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that single people who own pets are generally happier than single people without pets.

Answer:

B) 12

Step-by-step explanation:

it is the only term that isnt connected to a variable / is a variable.

i got this right on edg2020.

Answer:

  x + 0.07x ≥ 30

Step-by-step explanation:

A sum is terms separated by a plus sign.

"Is at least" means "is greater than or equal to."

7% as a decimal fraction is 0.07.

"Of" means "times."

__

In consideration of the above, you have ...

  x  plus  7% of x  is at least  30

  x  +  0.07x  ≥  30 . . . . . using math symbols

Answer:

3600 per 24 hour period or 1 day.

Step-by-step explanation:

24 x 15300/(4 x 24+6)=3600

Answer:

3600

Step-by-step explanation:

It consumes 3600 watt hours per day. Steps are included below.

We know that there is 24 hours in a day so we times 24 by the consumes watt hours that is 15300. So 24 times 15300. After that we need to time 4 times 24+6 = the answer that is 3600. That how you get the answer.

Steps:

1: 24*15300/(4*24+6)=3600

Answer: 3600 watt hours per day

Hope this helps.

Answer:

(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

[tex]\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})[/tex]

Compute the sample sizes as follows:

[tex]MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}[/tex]

       [tex]n=\frac{2\times\hat p(1-\hat p)\times (z_{\alpha/2})^{2}}{MOE^{2}}[/tex]

          [tex]=\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787[/tex]

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

[tex]\hat p_{1}=0.45\\\hat p_{2}=0.58[/tex]

Compute the sample size as follows:

[tex]MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}[/tex]

       [tex]n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}[/tex]

          [tex]=\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666[/tex]

Thus, the sample sizes are 6666.

Answer: 323

Step-by-step explanation:

Well, I see a trapeze, but i guess it refers  the rectangle of sides 19 and 17. The area is:

[tex]A=a\times b=323 \;in^2[/tex]

Answer:

52.84% probability the itemized deductions were within $200 of the sample mean

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 16642, \sigma = 2400, n = 75, s = \frac{2400}{\sqrt{75}} = 277.13[/tex]

What is the probability the itemized deductions were within $200 of the sample mean?

This is the pvalue of Z when X = 16642 + 200 = 16842 subtracted by the pvalue of Z when X = 16642 - 200 = 16442. So

X = 16842

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

By the Central Limit Theorem

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

[tex]Z = \frac{16842 - 16642}{277.13}[/tex]

[tex]Z = 0.72[/tex]

[tex]Z = 0.72[/tex] has a pvalue of 0.7642

X = 16442

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

[tex]Z = \frac{16442 - 16642}{277.13}[/tex]

[tex]Z = -0.72[/tex]

[tex]Z = -0.72[/tex] has a pvalue of 0.2358

0.7642 - 0.2358 = 0.5284

52.84% probability the itemized deductions were within $200 of the sample mean

Answer:

140.4 yards squared

Step-by-step explanation:

Answer:

1. 2.5 miles

2. 21.33 km

Step-by-step explanation:

15miles/6hours=2.5 miles

80km/3.75min=21.33km

Hope this helped!!!

Answer:

69

Step-by-step explanation:

first 135

second 135 - 20% = 135 - 27 = 108

third 108 - 20% = 108 - 21.6 = 86.4

fourth 86.4 -20% = 86.4 -17.28= 69.12

rounded 69

Answer:

True

Step-by-step explanation:

Explanation:-

The equation of the standard hyperbola is  

                         [tex]\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} } =1[/tex]

Answer:

It is True!

Step-by-step explanation:

Answer: $142.5

Step-by-step explanation: If the price is being marked up by 50%, you take 50% or half of the original price of $95, which is 47.5, and add it to your original price.

95 + 47.5 = 142.5

Answer:

$142.5

Step-by-step explanation:

If the price is being marked up by 50%, you take 50% or half of the original price of $95, which is 47.5, and add it to your original price.

95 + 47.5 = 142.5

Step-by-step explanation:

Second option is the correct answer

Answer:

B

Step-by-step explanation:

Area of sector = m/360(πr²)

Answer:

b. 36

Step-by-step explanation:

Answer:

The expected number of free throws he will make is 8.1.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either he makes it, or he misses each. Each free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

A professional basketball player has an 81% success rate when shooting free throws.

This means that [tex]p = 0.81[/tex]

Sample of 10 free throws

This means that [tex]n = 10[/tex]

What is the expected number of free throws he will make

[tex]E(X) = np = 10*0.81 = 8.1[/tex]

The expected number of free throws he will make is 8.1.