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Answer:

4/7

Step-by-step explanation:

The numbers 7 or odd are 1, 3, 5, and 7.

4 numbers out of 7.

P(7 or odd) = 4/7

Answer:

34

Step-by-step explanation:

uts obtuse angle

Answer:

16°

Step-by-step explanation:

Let x° be the missing angle:

cos x° = 53/55

cos x° = 0.963

using a calculator:

cos^(-1) (0.963) = 15.63 ≈ 16

Answer:

66.992%

Step-by-step explanation:

[tex]Sales, S(t)=7-6\sqrt[3]{t}[/tex]

Since we want to maximize revenue for the government

Government's Revenue= Sales X Tax Rate

[tex]R(t)=t \cdot S(t)\\R(t)=t(7-6\sqrt[3]{t})\\=7t-6t^{1+1/3}\\R(t)=7t-6t^{4/3}[/tex]

To maximize revenue, we differentiate R(t) and equate it to zero to solve for its critical points. Then we test that this critical point is a relative maximum for R(t) using the second derivative test.

Now:

[tex]R'(t)=7-6*\frac{4}{3} t^{4/3-1}\\=7-8t^{1/3}[/tex]

Setting the derivative equal to zero

[tex]7-8t^{1/3}=0\\7=8t^{1/3}\\t^{1/3}=\dfrac{7}{8} \\t=(\frac{7}{8})^3\\t=0.66992[/tex]

Next, we determine that t=0.6692 is a relative maximum for R(t) using the second derivative test.

[tex]R''(t)=-8*\frac{1}{3} t^{1/3-1}\\R''(t)=-\frac{8}{3} t^{-2/3}[/tex]

R''(0.6692)=-3.48 (which is negative)

Therefore, t=0.66992 is a relative maximum for R(t).

The tax rate, t that maximizes revenue for the government is:

=0.66992 X 100

t=66.992% (correct to 3 decimal places)

Answer:

2•2•2•3

24 has factors 2 and 12

12 has factors 2 and 6

6 has factors 2 and 3

Answer:54

volume:side*side*side

side:1 cm*1 cm *1 cm      

answer=icm

Answer:

domain: (-4,4)

Step-by-step explanation:

i'm not sure if it has brackets because it doesn't have point that are on x-intervals -4 and 4

Answer:

4159277

Step-by-step explanation:

156218 and 8162336

Add the two numbers and divide by 2

(156218 + 8162336)/2 =

8318554/2=

4159277

Answer:

4159277

Step-by-step explanation:

156218+8162336

=8318554

8318554 divided by 2 = 4159277

you add both numbers and divide by how many you added

The question is incomplete. Here is the complete question.

A 50 gram sample of a substance that's used to treat thyroid disorders has a k-value of 0.1137. Find the substance's half-life, in days. Round your answer to the nearest tenth.

Answer: [tex]t_{1/2}[/tex] = 6.1 days

Step-by-step explanation: Half-life is the amount of time necessary for a substance to reduce to half of its initial value.

To determine half-life through mass of a substance:

[tex]N = N_{0}.e^{-kt_{1/2}}[/tex]

Initially, there are 50 grams. After 1 half-life, there are 25 grams:

[tex]25 = 50.e^{-0.1137.t_{1/2}}[/tex]

[tex]\frac{25}{50} = e^{-0.1137.t_{1/2}}[/tex]

[tex]\frac{1}{2} = e^{-0.1137.t_{1/2}}[/tex]

[tex]ln (\frac{1}{2} ) = ln (e^{-0.1137.t_{1/2}})[/tex]

ln(1) - ln(2) = -0.1137.[tex]t_{1/2}[/tex]

[tex]t_{1/2} = \frac{- ln(2)}{- 0.1137}[/tex]

[tex]t_{1/2} =[/tex] 6.1

The half-life of the sample substance is 6.1 days.

Answer:

2.99

Step-by-step explanation:

99.99 - 97 = 2.99

The percentage change to 2 decimal places when a price of 97 is increased to 99.99 is 3.08%

What is percentage change?

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage.

percentage change formula = [tex]\frac{final value - initial value }{Initial value}[/tex]× 100

According to the given question

We have

initial value = 97

final value = 99.99

therefore,

⇒percentage change = [tex]\frac{99.99-97}{97}[/tex]× 100

⇒percentage change = [tex]\frac{2.99}{97}[/tex]×100

⇒percentage change = 0.0308×100=3.0824

⇒percentage change = 3.08%

Hence, the percentage change to 2 decimal places when a price of 97 increased to 99.99 is 3.08%.

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Answer: Part 1: 1/52 Part 2: 15/26 Part 3: 1/26

Step-by-step explanation:

A ace of hearts is only 1 card

a 8 or a diamond a 8 is a 4/52 chance and a diamond is a 26 / 52 chance

26 + 4 = 30

30/52 simplifies to 15/26

A red 7 has a 4/52 chance for a 7 and half of that for a red card so 2/52 then 1/26

Answer:

0.001

Step-by-step explanation:

Here, the aim is to support the null hypothesis, Ha. Where Ha: p > 0.5. Which means we are to reject null hypothesis H0. Where H0: p = 0.5.

The higher the pvalue, the higher the evidence of success. We know If the pvalue is less than level of significance, the null hypothesis H0 is rejected.

Hence the smallest possible value 0.001 is preferred as the pvalue because it corresponds to the sample evidence that most strongly supports the alternative hypothesis that the method is effective

Answer:

The requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.

Step-by-step explanation:

A normal-distribution is an accurate symmetric-distribution of experimental data-values.  

If we create a histogram on data-values that are normally distributed, the figure of columns form a symmetrical bell shape.  

If X [tex]\sim[/tex] N (µ, σ²), then [tex]Z=\frac{X-\mu}{\sigma}[/tex], is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z [tex]\sim[/tex] N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Thus, the requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.

Answer:

C.

Step-by-step explanation:

Step 1: Multiply jar weights

12(10) = 120 oz

Step 2: Convert lbs to oz

16 + 14 = 30 oz

Step 3: Add weights

150 oz

Step 4: Convert to lbs

150/16 = 75/8 = 9.375 lbs

9.375 lbs = 9 lbs 6 oz

Answer:

Total number of T-shirts= 200

Cost per T-shirt (without shipping ) = $2.80

Shipping cost per t-shirt ; 5% of a T-shirt = 0.05 *2.80 = $0.14

Total cost of T-shirt (shipping included) = 2.80 +0.14 = $2.94

Markup = 150% of total cost = 1.50 * 2.94 = $4.41

To get the price at which Michelle will sell each T-shirt , add total cost  to the markup; 2.94 +4.41 = 7.35.

Therefore, selling price will be $7.35

Answer:

M = 90 for a sample of n = 100

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance or M = 90 with s sample of n = 100. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

Answer:

(6,-3)

Step-by-step explanation:

Answer:

7. f⁻⁻¹(x)=x-3                 11. f⁻⁻¹(x)= 2x/(1-x)

Step-by-step explanation:

to find the inverse of an expression:

1. change f(x) to y.

2. switch the x and y values.

3. solve to find y.

So....                                                              

7.) f(x)=x+3                              11.) f(x)=  x/(x+2)

y=x+3                                            y=x/(x+2)

x=y+3                                            x=y/(y+2)

f⁻⁻¹(x)=x-3                                       f⁻⁻¹(x)= 2x/(1-x)

Answer:

150 km

Step-by-step explanation:

1 liter ............ 40 km

15/4 liter .........x km

x = 15/4×40/1 = 600/4 = 150 km

Answer:

solution,

Similar Right triangles:

[tex] \frac{c}{h} = \frac{h}{d} \\ {h}^{2} = cd \\ {y}^{2} = 4 \times 9 \\ {y = 36 }^{2} \\ y = \sqrt{ {(6)}^{2} } \\ y = 6[/tex]

Hope this helps..

Good luck on your assignment..

Answer:whats the measure of x i really need help

Step-by-step explanation:

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}[/tex]

The sample selected is of size, n = 50.

The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:

[tex]t_{\alpha/2, (n-1)}=t_{0.05/2, 49}=2.000[/tex]

*Use a t-table.

Compute the sample mean and sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum {x}=\frac{1}{50}\times [6+4+6+...+9+6]=6.34\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{50-1}\times 229.22}=2.163[/tex]

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}[/tex]

     [tex]=6.34\pm 2.00\times\frac{2.163}{\sqrt{50}}\\\\=6.34\pm 0.612\\\\=(5.728, 6.952)\\\\\approx(5.7, 7.0)[/tex]

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).

Answer:

On average, students in the 4th period Did more chin-ups than students in the 2nd period.

Answer:

The y-coordinate is -4.5

Step-by-step explanation:

Point has x-coordinate -3 and y-coordinate -4.5.

Answer:

the y-coordinate is  -4.5

Step-by-step explanation:

the x-coordinate is -3

the y-coordinate is in between -4 and -5. from here one can assume it is half way unless there is information that has not been stated.

In between -4 and -5 is -4.5 so the y-coordinate is -4.5

the coordinate of point 7 is ( -3, -4.5)

Answer:

187 ft/s

Step-by-step explanation:

Given in the y direction:

v₀ = 0 ft/s

Δy = 75 ft

a = 32 ft/s²

Find: t

Δy = v₀ t + ½ at²

(75 ft) = (0 ft/s) t + ½ (32 ft/s²) t²

t = 2.165 s

Given in the x direction:

Δx = 480 ft

a = 0 ft/s²

t = 2.165 s

Find: v₀

Δx = v₀ t + ½ at²

(480 ft) = v₀ (2.165 s) + ½ (32 ft/s²) (2.165 s)²

v₀ = 187 ft/s

Answer:

  1/275,625 ≈ 3.641×10^-6

Step-by-step explanation:

There are 65×65×65 = 274,625 possible combinations. The probability of guessing the correct one is 1/275,625 ≈ 3.641×10^-6.

Answer:

[tex] \frac{1}{2} {r}^{2} ( \frac{1}{2}\pi - 1)[/tex]

option D is the right option.

solution,

Area of shaded region:

Area of sector-Area of ∆

[tex] = \frac{90}{360} \times \pi {r}^{2} - \frac{1}{2} \times r \times r \\ = \frac{1}{4} \pi {r}^{2} - \frac{1}{2} {r}^{2} \\ = \frac{1}{2} {r}^{2} ( \frac{1}{2} \pi - 1)[/tex]

Hope this helps...

Good luck on your assignment..

The  expression in square units that represents the area of the shaded segment of C. Geometry is [tex]\frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]

Since we know that

The area of the shaded region = Area of the sector - an area of a triangle

So,

[tex]= \frac{90}{360} \times \pi r^2 - \frac{1}{2} \times r\times r\\\\ = \frac{1}{4}\pi r^2 - \frac{1}{2}r^2 \\\\= \frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]

hence, The  expression in square units that represents the area of the shaded segment of C. Geometry is [tex]\frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]

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Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

Answer:

dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)

Step-by-step explanation:

x² / (x + y) = y² + 7

x² = (x + y) (y² + 7)

Take derivative of both sides with respect to x.  Use power rule, product rule, and chain rule.

2x = (x + y) (2y dy/dx) + (y² + 7) (1 + dy/dx)

Simplify.

2x = (2xy + 2y²) dy/dx + y² + y² dy/dx + 7 + 7 dy/dx

2x = (2xy + 3y² + 7) dy/dx + y² + 7

2x − y² − 7 = (2xy + 3y² + 7) dy/dx

dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)

Answer: B. 22%

Step-by-step explanation:

Answer:

Yeah its 22%

Step-by-step explanation:

Answer:

the answer is: 9.25

Step-by-step explanation:

the cube root of 792 is approximately 9.252.

To find the cube root of 792, we can use the relationship between cube roots and cube numbers.

If the cube root of 99 is approximately 4.626, we can use this information to find the cube root of 792.

Let's calculate the cube root of 792 using the relationship:

(cube root of 792) = (cube root of 99) * (cube root of 8)

Since 792 is equal to 99 multiplied by 8 (792 = 99 * 8), we can rewrite the equation as:

(cube root of 792) = (4.626) * (cube root of 8)

Now, we need to find the cube root of 8:

(cube root of 8) = 2

Substituting this value back into the equation, we get:

(cube root of 792) = (4.626) * (2) = 9.252

Therefore, the cube root of 792 is approximately 9.252.

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