the time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of

The hypothesis for the given scenario can be written as follows:

Null hypothesis

H_0: μ = 7.2

Alternative hypothesis

H_1: μ ≠ 7.2

Here, μ = Population mean

The mean pressure produced by the valve is not 7.2 lbs/square inch.

The given level of significance (α) = 0.05

The given population variance is known to be 1.

Need to determine if there is sufficient evidence to show that the valve does not perform to the given specifications if the valve was designed to produce a mean pressure of 7.2 lbs/square inch. That is, whether to reject or accept the null hypothesis with the given level of significance (α) = 0.05.

The sample mean pressure of 190 engines tested was 7.3 lbs/square inch. Mean pressure (μ) = 7.3 lbs/square inch, σ² = Variance = 1, n = Number of observations = 190

Significance level (α) = 0.05

Test Statistic: Z = (x - μ) / (σ / √n)

where x = Sample mean

The formula for the test statistic can be written as:

Z = (7.3 - 7.2) / (1 / √190)Z = 4.3588 (approx.)The calculated value of Z = 4.3588 is greater than the Z critical value at 0.05 level of significance.

Hence, there is sufficient evidence to reject the null hypothesis H_0. Therefore, we can conclude that the valve does not perform to the given specifications. The mean pressure produced by the valve is not 7.2 lbs/square inch.

To know more about mean pressure: https://brainly.com/question/13209101

#SPJ11

Answer:

cosine

Step-by-step explanation:

The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ Inverse cosine

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Angle = 35°

Hence, The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ sec 35° = Hypotenuse / Base

⇒ 1/cos 35° = 9 / JG

Thus, The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ Inverse cosine

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ2

The correct statements are:

B. Jessie’s pyramid has a volume of 525 in^3. (Using the formula for the volume of a pyramid, V = (1/3) * base area * height, we get V = (1/3) * 15^2 * 7 = 525 in^3.)

D. Carl’s pyramid is 3.6 times larger than Jessie’s. (Using the formula for the volume of a square pyramid, V = (1/3) * base area * height, we can find the base side length of Carl's pyramid: base side length = sqrt((3*1890)/(7*15^2)) ≈ 18.46 inches. Therefore, the ratio of volumes is (18.46/15)^2 * (7/7) ≈ 3.6.)

Answer:The correct statements are:

B. Jessie’s pyramid has a volume of 525 in^3. (Using the formula for the volume of a pyramid, V = (1/3) * base area * height, we get V = (1/3) * 15^2 * 7 = 525 in^3.)

D. Carl’s pyramid is 3.6 times larger than Jessie’s. (Using the formula for the volume of a square pyramid, V = (1/3) * base area * height, we can find the base side length of Carl's pyramid: base side length = sqrt((3*1890)/(7*15^2)) ≈ 18.46 inches. Therefore, the ratio of volumes is (18.46/15)^2 * (7/7) ≈ 3.6.)

Step-by-step explanation:

Answer: 520

Step-by-step explanation:

if pizza times pizza times pizza equals 27, the square root of twenty seven is three. so three time three equals 9, then times cheeseburger(which equals 2) would equal 18. so 2*2+2= taco(8)

Answer:

a. y = 6.5x + 3.99

b. y = 10.49x

Step-by-step explanation:

a.

total cost = charge per shirt + flat rate of shipping

y = 6.5x + 3.99

b.

total cost = charge per shirt + shipping charge per shirt

y = 6.5x + 3.99x

y = 10.49x

If the shipping charge applies to every shirt, then the total cost is the cost of the shirts (6.5x) plus the cost of shipping multiplied by the number of shirts (3.99x)

Answer: Anything greater than 3

Step-by-step explanation:

The answer can be any number greater or equal to 3. This is because if you subtract 3 by 3 you get 0 and zero is still greater than -2 making the inequality true

X = 1 , 4 are the value of x in logarithm.

A logarithm is defined simply?

A logarithm is a mathematical operation that raises a number to a given power in order to produce another number (see Section 3 of this Math Review for more about exponents).

                                    As an example, the logarithm of 100 in base ten is 2, since ten times two equals 100: log 100 = 2, since 102 = 100. The four most prevalent kinds of logarithms are common logarithms with a base of 10, natural logarithms with a base of e 2.71828, binary logarithms with a base of 2, and logarithms with a base of 2.

2log₃(6x) - log₃(4x) - 2log₃(x + 2) = 0

log₃(9x/(x+ 2)²) = 0

 exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then

         logb(x) = y  equivalent to [tex]b^{y}[/tex] = x

   3⁰ =  9x/(x + 2)²

 9x =     3⁰ (x + 2)²

   9x = x² + 4x + 4

     -x² + 5x = 4

 Factor x out of -x²

    x(-x) + x. 5 = 4

      x(-x + 5) = 4

    -x² + 5x - 4 = 0

 - ( x - 4) ( x - 1) = 0

     x = 4 , 1

Learn more about logarithm

brainly.com/question/30085872

#SPJ1

Answer:

As we approach the turn of the millennium, it is natural to wonder what the future holds. For a local magazine, predicting trends and changes in the community is essential to staying relevant and informative. In the year 2001, I predict that our city will continue to grow and evolve in exciting ways.

One major focus for our magazine should be on technology. As we enter a new era of digital communication and information sharing, it will be important to keep readers informed about new developments and how they impact our daily lives. This could include coverage of local tech startups, updates on internet infrastructure projects, or profiles of innovative individuals using technology to make a difference in our community.

Another area of interest will be sustainability. As concerns about climate change become more urgent, I predict that our city will take bold steps towards becoming more environmentally friendly. Our magazine can highlight initiatives like bike lanes, green energy projects, or sustainable food systems.

Overall, I believe that by focusing on these key areas – technology and sustainability – our local magazine can remain relevant and engaging for years to come.

BRAINLIEST please

thanks

The approximate length of each of the walking paths that passes through the center of the park and connects opposite sides of the outer or circumference walkway is 21 meters.

Let r₁ and C₁  be the radius and the circumference of the inner circle.

Let r₁​ and C₂  be the radius and the circumference of the outer circle.

The width of the circular path is (r₂​ −r₁ ) m.

Given, C₂ −C₁ = 132 m

⇒2πr₂−2πr₁ = 132m

⇒2π(r₂ −r₁ ) = 132m

⇒r₂−r₁ = 66/22/7

​⇒r₂−r₁ = 21

Thus, width of the circular path is 21 m.

Learn more about Circumference:

brainly.com/question/28757341

#SPJ1

Based on the measures of center, we can conclude that Wide Awake typically sells more coffee per hour compared to Perks A Lot.

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

To determine which coffee shop typically sells the most amount of coffee per hour, we need to compare the measures of center for both sets of data. The two common measures of center are the mean and the median.

Calculating the mean and median for both sets of data, we get:

Perks A Lot:

Mean = (10+3.5+3+5+2.5+7+8+5.5+9.5+6+9+4.5)/12 = 5.75

Median = the average of the 6th and 7th numbers when the data is arranged in order: 3, 3.5, 5, 5.5, 6, 7, 8, 9, 9.5, 10

Wide Awake:

Mean = (2.5+10+4+18+4+3+6.5+15+6+5+2.5)/11 = 6

Median = the average of the 5th and 6th numbers when the data is arranged in order: 3, 4, 5, 6, 6.5, 10, 15, 18

Comparing the measures of center, we can see that Perks A Lot has a lower mean and a higher median compared to Wide Awake. This suggests that Perks A Lot sells less coffee on average, but has more consistent sales with less extreme values. On the other hand, Wide Awake has higher average sales, but with a wider range of values.

Therefore, based on the measures of center, we can conclude that Wide Awake typically sells more coffee per hour compared to Perks A Lot.

To learn more about Statistics from the given link

https://brainly.com/question/15525560

#SPJ1

To estimate the number of rubber balls in the whole basket, we can multiply this proportion by the total number of balls. Therefore, We can estimate that there are about 21 rubber balls in the basket.

An average proportion is the sum of a set of proportions divided by the number of proportions.

It represents the average or typical value of the proportions in the set, and can be used to estimate the overall proportion or percentage of a larger population.

To estimate how many of the balls in the basket are rubber, we can use the proportion of rubber balls that were drawn in each class to find the average proportion of rubber balls across all four classes.

We can then use this average proportion to estimate the number of rubber balls in the whole basket.

The total number of balls drawn from the basket is:

(2 + 8) + (4 + 6) + 2 x (3 + 7) = 40

The total number of rubber balls drawn is:

2 + 4 + 2 x 3 = 12

The proportion of rubber balls drawn in each class is:

Class 1: 2/10 = 0.2

Class 2: 4/10 = 0.4

Class 3: 3/10 = 0.3

Class 4: 3/10 = 0.3

The average proportion of rubber balls across all four classes is:

(0.2 + 0.4 + 0.3 + 0.3) / 4 = 0.3

Therefore, we can estimate that approximately 30% of the balls in the basket are rubber. To estimate the number of rubber balls in the whole basket, we can multiply this proportion by the total number of balls:

Number of rubber balls = 0.3 x 70 = 21.

To know more about percentage visit:

https://brainly.com/question/15129901

#SPJ1

The fractions that are greater than 3/8 are option A. 1/2, option B. 4/5, and option D. 2/3.

To compare fractions, we need to make sure they have the same denominator. In this case, we can convert all the fractions to have a denominator of 8:

3/8 = 3/8

1/2 = 4/8

4/5 = 6.4/8

1/3 = 2.7/8

2/3 = 5.3/8

2/12 = 1/6 = 1.3/8

Now we can see which of these fractions are greater than 3/8:

3/8 = 3/8

4/8 = 1/2 > 3/8

6.4/8 > 3/8

2.7/8 < 3/8

5.3/8 > 3/8

1.3/8 < 3/8

So, the fractions that are greater than 3/8 are 1/2, 4/5, and 2/3.

learn more about fraction: https://brainly.com/question/17220365

#SPJ1

The complete question goes thus:

Which of the fractions below are greater than 3/8? Select three.

A. 1/2

B. 4/5

C. 1/3

D. 2/3

E. 2/12

Answer:

9 × ( 9 + 5 )

Hope this helps!

Step-by-step explanation:

The GCF of 81 and 45 is 9.

For a continuous function, if the second derivative at the critical points is negative, then it not necessarily mean that it is quasi-concave.

A "continuous-function" is defined as a function in which small changes in the input result in small changes in the output, without any abrupt jumps or discontinuities.

A function is termed as "quasi-concave" if its upper contour sets are convex.

A function is termed as "quasi-convex" if its lower contour sets are convex.

The "Quasi-concavity" is a weaker condition than concavity, so it does not exhibit in a condition on the sign of "second-derivative".

Therefore, if a continuous function has a negative second derivative at its critical points, it does not necessarily mean that it is quasi-concave.

Learn more about Function here

https://brainly.com/question/31087730

#SPJ4

Answer:

y² + 6y + 9.

It can be expressed into two binomials like this.

Answer:

(y + 3)(y + 3)

Using (a+b)² = (a+b)(a+b)

Answer:

f(x)= 3x+2

Step-by-step explanation:

math

:)

Answer:

1750ml

Step-by-step explanation:

2L=2000ml

2000-250

1750ml

Answer:

union apparently

Answer:

u = 26.1°

Step-by-step explanation:

the 2 angles u and 44.1° combine to form the angle 70.2° , that is

u + 44.1° = 70.2° ( subtract 44.1° from both sides )

u = 26.1°

This is the answer to your problem

Answer: A: $2374.56

there

Step-by-step explanation:

FICA taxes is the Social Security and the Medicare added together

So you add 1924.48+450.08 and you get 2374.56

The pairs of lines are classified as: perpendicular, parallel, neither, neither.

The slopes of the first pair of lines differ, making them neither parallel nor perpendicular. The slopes of the first and second lines are 1/2 and -2, respectively.

The second set of lines is perpendicular because the slopes of the first line, which is -3, and the second line, which is 1/3, are the opposites of each other.

The third set of lines have varying slopes and are neither equal nor perpendicular. The slopes of the two lines are -2/3 for the first line and 6/4 for the second, which reduces to 3/2.

To classify each pair of lines as parallel, perpendicular, or neither, we need to compare their slopes.

2y = x and y = -2x + 6

The first equation can be written in slope-intercept form as y = (1/2)x, which means its slope is 1/2. The second equation can be written in slope-intercept form as y = -2x + 6, which means its slope is -2. Since the slopes are negative reciprocals of each other, these lines are perpendicular.

y + 3x = 1 and 2y = -6(x - 1)

The first equation can be written in slope-intercept form as y = -3x + 1, which means its slope is -3. The second equation can be written in slope-intercept form as y = -3x + 3, which means its slope is also -3. Since the slopes are the same, these lines are parallel.

3y + 2x = -3 and 4y = 6x + 12

The first equation can be written in slope-intercept form as y = (-2/3)x - 1, which means its slope is -2/3. The second equation can be written in slope-intercept form as y = (3/2)x + 3, which means its slope is 3/2. Since the slopes are not equal and not negative reciprocals of each other, these lines are neither parallel nor perpendicular.

y + 2 = 5x and 5y - x = -2

The first equation can be written in slope-intercept form as y = 5x - 2, which means its slope is 5. The second equation can be written in slope-intercept form as y = (1/5)x - 2/5, which means its slope is 1/5. Since the slopes are not equal and not negative reciprocals of each other, these lines are neither parallel nor perpendicular.

Therefore, the pairs of lines are classified as follows:

perpendicular

parallel

neither

neither

To know more about perpendicular visit:

brainly.com/question/29268451

#SPJ1

As per the given measurement, you would need to burn an extra 500 calories every day in order to lose 9 pounds in 63 days, assuming that the rest of your diet remains constant.

We know that in order to lose 1 pound of body weight, you need to burn an extra 3500 calories. Therefore, to lose 9 pounds, you would need to burn an extra 31,500 calories

=> (9 pounds x 3500 calories per pound).

If you divide this number by the number of days in which you want to achieve this goal, you'll find the amount of calories you need to burn each day. In this case, it would be:

31,500 calories / 63 days = 500 calories per day

To know more about measurement here

https://brainly.com/question/2107310

#SPJ4

Answer:

retail price = $13.00

Step-by-step explanation:

10 x 1.30 = $13

Answer:

Largest angles- 115

Largest angle- 115

Smallest angle-65

Smallest angle-65

Step-by-step explanation:

Angles of opposite sides in a parallelogram are equal.

Let the smallest angle be y.

Let the largest angle be y+50

y+50+y+50+y+y=360

100+4y=360

4y=(360-100)/4

y=65

Theyre four angles:

50+y(65)= 115

50+y(65)= 115

y=65

y=65

Answer: 65° and 115°.

Step-by-step explanation:

Let the smallest angle is x°

Hence the largest angle is x°+50°

The sum of the angles in a parallelogram that are adjacent to one side is 180 degrees.

Therefore

x°+(x°+50°)=180°

2x°+50°=180°

2x°+50°-50°=180°-50°

2x°=130°

Divide both parts of the equation by 2:

x°=65°

x°+50°=65°+50°

x°+50°=115°.

(9x+7=10x-10)

All terms are shifted to the left:

(9x+7-(10x-10))=0

Parentheses are used to compute terms: +(9x+7-(10x-10)), so:

9x+7-(10x-10)

the Function Domain determination

9x-(10x-10)

+7

We eliminate parenthesis.

9x-10x+10+7

All the numbers and variables are added together.

-

1x+17

Returning to the equation

+(-1x+17)

We eliminate parenthesis.

-1x+17=0

We shift every term that contains x to the left and every other term to the right.

-x=-17 \sx=-17/-1 \sx=+17

How can you determine an equation's degree?

The degree of a term in the polynomial expression is expressed as a + b if a and b are the exponents of the many variables in a term.

To learn more about Relation of degrees of polynomials refer to:

https://brainly.com/question/1600696

Answer:

the answer is Undefined

Step-by-step explanation:

therefore the value of x is basically 0

I do indeed hope this helps

Answer:

Step-by-step explanation:

[tex]\tt 5x-2+x=9+3x+10[/tex]

Combine like terms:-

[tex]\tt 5x+x-2=9+3x+10[/tex]

[tex]\tt \:5x+x=\bf 6x[/tex]

[tex]\tt 6x-2=9+3x+10[/tex]

Add numbers:-

[tex]\tt 9+10=\bf 19[/tex]

[tex]\tt 6x-2=3x+19[/tex]

Add 2 to both sides:-

[tex]\tt 6x-2+2=3x+19+2[/tex]

[tex]\tt 6x=3x+21[/tex]

Subtract 3x from both sides:-

[tex]\tt 6x-3=3x+21-3[/tex]

[tex]\tt 3x=21[/tex]

Divide both sides by 3:-

[tex]\tt \cfrac{3x}{3}=\cfrac{21}{3}[/tex]

[tex]\tt x=7[/tex]

____________________

Hope this helps! :)

Answer: X = 17

Step-by-step explanation: First combine like terms on both sides so the 5x + x on the left side for a total of 6x and the 9 + 10 on the right side for a total of 19. Then get your variables and numbers all to one side each so you would add 2 from the left to the right and cancel out and then subtract 3x from the right to the left and cancel out. Finally you would divide 21 by 3.

5x-2+x=9+3x+10

6x-2=19+3x

+2 -3x

3x=21

/3. /3

x=7

Answer:

11/16 is the answer or 22/32