A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test:
H0:p=0.65
Ha:p<0.65
In this example, the p-value was determined to be 0.277. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)
Select the correct answer below:
A. There is sufficient evidence to conclude that the proportion of people wearing seat belts is less than 65%.
B. There is NOT sufficient evidence to conclude that the proportion of people wearing seat belts is less than 65%.
C. There is sufficient evidence to conclude that the proportion of people wearing seat belts is less than 35%.
D. There is NOT sufficient evidence to conclude that the pronortion of people wearing seat belts is less than 35%

Answer:

28

Step-by-step explanation:

12+[(15-5)]+(9-3)]

PEMDAS

Parentheses first

12+[(10)]+(6)]

Then add

12+10+6

Answer: 28

Step-by-step explanation:

Answer:

j = 44/3

Step-by-step explanation:

j varies jointly as g and v. This can be represented mathematically as:

[tex]j \alpha gv\\j = kgv[/tex].............(1)

Where k is a constant of proportionality

j = 2 when g = 4 and v = 3

Substitute these values into equation (1)

2 = k * 4 * 3

2 = 12 k

k = 1/6

when g = 8 and v = 11:

j = (1/6) * 8 * 11

j = 44/3

Answer: 97

Step-by-step explanation:

Formula to compute the required sample size :

[tex]n= (\dfrac{\sigma\times z_{\alpha/2}}{E})^2[/tex]

, where [tex]\sigma[/tex] = standard deviation

E= Margin of error

[tex]z_{\alpha/2}[/tex] = Two tailed z-value.

Here, E= 20

[tex]\sigma[/tex] = 100

For 95% confidence level: [tex]z_{\alpha/2}[/tex] =1.96

Required sample size:

[tex]n=(\dfrac{100\times1.96}{20})^2\\\\=(5\times1.96)^2\\\\=96.04\approx97[/tex]

Hence, the required sample size : 97

Answer:

4

Step-by-step explanation:

g(x) = x² − 2x + 5

g'(x) = 2x − 2

g'(3) = 4

Answer:

Hey there!

This question is basically asking for the least common multiple, or LCM of the three numbers.

If it is a multiple of 10, it has to be a multiple of 5. Thus, the only thing we need to do now, is find the LCM of 10 and 7, which is 70.

Thus, your answer is 70.

Hope this helps :)

Answer:

I think it is 70.

Step-by-step explanation:

I think that is the Lowest common Multiple of 5, 7 and 10:

10 = 2*5

7 = 7

5 = 5

So the LCM is 2 * 5 * 7 = 70.

Answer:

15

Step-by-step explanation:

4! +3! /2

4!=4*3*2*1=24

3!=3*2*1=6

24+6/2=30/2=15

Answer:

Step-by-step explanation:

Firstly let us calculate the amount of hours you will have to work in a week.

Since you will have to work Mondays through Fridays, hence you will be working 5 days in a week.

Hence in a week you will work 8.5*5= 42.5 hours in a week

Since in 1 hours you are mandated to pick 45 units

Hence in 42.5 hours you will pick 42.5*45= 1912.5 units

Answer:

16. x=48 y=70

17. x=45 y=5

Step-by-step explanation:

16. This is an isosceles triangle meaning that the two angles are the same. Meaning that (x+7)=55.

55-7=48

(48+7)=55 x=48

There are 180 degrees in a triangle, so 55+55=110

180-110=70. y=70

17. This is a right angled triangle meaning that the squared part is 90 degrees. And it is also an isosceles triangle meaning that x=97.

There are 180 degrees in a triangle, and 90 is already taken, meaning that there is 90 degrees more left.

90/2=45

x=45

9✖️5=45 y=5

Hope this helps, BRAINLIEST would really help me!

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

Hope this helped!

Answer:

86.9

Step-by-step explanation:

Find the number in the tenth place 9 and look one place to the right for the rounding digit 4 Round up if this number is greater than or equal to 5 and round down if it is less than 5

Hope this can help

Answer:

Rewrite the function as an equation. y= 3/7 Use the slope-intercept form to find the slope and y-intercept. Slope: 0 Y-intercept: 3/7 Hope this can help

Step-by-step explanation:

Answer:

a. Total amount after 65 years = $1179415.39

b. The total contribution to the account  = $288000

Step-by-step explanation:

Given annuity amount = $1800

Total number of years for contribution = 65 – 25 = 40 years

Interest rate  = 6%

a. Total amount after 65 years = Annuity[((1+r)^n -1) / r]

Total amount after 65 years = 1800×((1+.06/4)^(4 × 40) - 1)/(.06/4)

Total amount after 65 years = $1179415.39

b. The total contribution to the account =1800 × 4 Quarter × 40 Years

        The total contribution to the account  = $288000

The area of the rectangle is [tex]25q^2-9[/tex].

The area of the rectangle is the product of length and width.

The length of the sides of the square is 5q.

3 is added and 3 is subtracted to the length and the width of the square so, the dimensions of the new quadrilateral is (5q+3) and (5q-3).

So, the area of the rectangle is-

[tex]A=(5q+3)\times (5q-3)\\=25q^2-9[/tex]

Thus, the area of the rectangle is [tex]25q^2-9[/tex].

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Answer:25q^2-9

Step-by-step explanation:

your welcomeeeeeeee

Answer:

[tex]\boxed{b = -3}[/tex]

Step-by-step explanation:

[tex]\sf -11b+7 = 40\\Subtracting\ 7\ to\ both\ sides\\-11b = 40-7\\-11b = 33\\Dividing\ both\ sides \ by \ -11\\ b = 33/-11\\b = -3[/tex]

Answer:

(5,6), (-2,8)

Step-by-step explanation:

I have a good math expertise. Don't question my skills as they are correct. woof woof waffling behavior. Thnak you hr welcne

Answer:

$435,000

Step-by-step explanation:

$760 per month * 12 months = $9,120

The minimum rent requires an annual rental cost of $9,120.

The annual rent was $20,520.

The excess was $20,520 - $9,120 = $11,400.

The amount of $11,400 of the rent was due to the gross sales in excess of $150,000.

$11,400 is 4% of the amount in excess of $150,000.

Let the amount in excess of $150,000 = x.

$11,400 = 4% of x

0.04x = 11,400

x = 285,000

$285,000 is the amount in excess of $150,000.

Total gross sales volume = $285,000 + $150,000 = $435,000

Answer:

0.5216

Step-by-step explanation:

Given the function  y =kx(1-x), the pattern of attractors are the value(s) of y at the initial value of k and x. Given the value of k = 3.26 and x = 0.8, to get the pattern of attractors, we will substitute the given initial value into the function as shown;

[tex]y =kx(1-x)\\\\y = 3.26(0.8)(1-0.8)\\\\y = 3.26*0.8*0.2\\\\y = 0.5216\\\\[/tex]

Hence, the pattern of attractor for the equation y is 0.5216

Answer:

See below.

Step-by-step explanation:

So, we have:

[tex]\sec(\theta)=-2/\sqrt{3}[/tex]

Recall that secant is simply the reciprocal of cosine. So we can:

[tex]\cos(\theta)=(\sec(\theta))^{-1}=(-2/\sqrt{3})^{-1}\\\cos(\theta)=-\sqrt{3}/2[/tex]

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.

Therefore, the possible values for theta is

5π/6 +2nπ

and

7π/6 + 2nπ

Answer:

Step-by-step explanation:

Given the statement "subtract y from 5", we are to express the statement mathematically. Expressing mathematically is as shown;

5 - y

Since we are removing the value of a variable y from 5, the variable we are subtracting will come last in the expression.  For example say, we want to subtract 5 from 10, since we are taking out 5 from 10, the value of 5 will come last in the expression i.e 10 - 5 not 5 - 10.

According to the statement in question, we can see that we are to subtract y from 5, therefore y will come last in our expression and will be expressed as 5 - y

Answer:

The elevation of the airplane decreases by 9 km.

Step-by-step explanation:

We use the distance-rate-time formula: d = rt.

Here, the rate is r = 0.15 km/min and the time is t = 60 min. Simply plug these into the formula:

d = rt

d = 0.15 * 60 = 9 km

So, the change in elevation in the last 60 minutes is 9 km. However, note that the rate is negative (-0.15 km/min), which means that the elevation actually is decreasing.

Thus, the answer is: the elevation of the airplane decreases by 9 km.

~ an aesthetics lover

Answer:

The elevation of the airplane _decrease_ by __9____ km

Step-by-step explanation:

Take the rate and multiply by the time to get the distance traveled

-.15 km per minute * 60 minutes

- 9 km

The plane will go down 9 km in that 60 minutes

Answer:

1. 115 chocolates were added

2. 861 visitors in September

Step-by-step explanation:

1.

Initially:

m=number of mints

60% of 230 sweets were mints  =>

m = 230*0.6 = 138 mints

initial number of chocolates, c1  =  230 - 138 = 92

Now chocolates were added

138 mints represented 40% of the total number of sweets, so

total number of sweets  = 138 / 0.4 = 345

Number of chocolates added = 345 - 230 = 115

2.

In August 36% were locals, 64% were from elsewhere.

In suptember,

locals decreassed by 25% to 36*0.75=27% (of August total)

foreigner increased by 50% to 64*1.5=96% (of August total)

Total Inrease = 96+27-100 = 23% of August total  = 161 visitors

August total = 161/0.23 = 700 visitors

September total = 700 + 161 = 861 visitors

Answer:

The probability that a randomly selected student is female or a physics major is 0.65.

Step-by-step explanation:

Note: This question is not complete. A complete is therefore provided before answering the question as follows:

A physics class has 40 students. Of these, 14 students are physics majors and 18 students are female. Of the physics majors, six are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is_______.

The Step-by-step explanation is therefore provided now as follows:

The probability that a randomly selected student is female or a physics major can be calculated using the following formula:

P(PM or F) = P(PM) + P(F) - P(PMF)

Where;

P(PM or F) = Probability of student selected is Physics Major or Female = ?

P(PM) = Probability of student selected is Physics Major = Number of Physics Major / Total number of students in the Physics class = 14 / 40 = 0.35

P(F) = Probability of student selected is Female = Number of female students in the Physics class / Total number students in the Physics class = 18 / 40 = 0.45

P(PMF) = Probability of student selected is Physics Major and Female = Number Physics Major that female in the Physics class / Total number students in the Physics class = 6 / 40 = 0.15

Substituting the values into equation (1), we have:

P(PM or F) = 0.35 + 0.45 - 0.15 = 0.65

Therefore, the probability that a randomly selected student is female or a physics major is 0.65.

Answer:

what is the physics question

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

2b - 5b is -3b so it leaves the equation with -3b + 7 + 3b

-3b + 3b cancells out to 0 so it leaves the final answer to 7

Answer: 2neters

Step-by-step explanation: I also recently did it on Khan academy

The height of the tent of the figure is H = 2 m

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

Let the volume of the tent be represented as V

Now , the value of V is

V = 4.5 m³

Let the height of the prism be H

Now , the base of the triangle B = 1.5 m

And , the length of the tent L = 3 m

So , Volume of Prism = B x h

4.5 = ( 1/2 ) x 1.5 x H x 3

On simplifying , we get

4.5 = 2.25H

Divide by 2.25 on both sides , we get

H = 2 m

Hence , the height of the tent is 2 m

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The complete question is attached below :

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 4.5 m^3. Syrus isn't sure if the tent will be tall enough for him to stand inside. What is the height of the tent?

Answer: Monomial.

Step-by-step explanation:

Ok, when we have a polynomial with only one term, this is a monomial.

If the polynomial has two terms, this is a binomial.

If the polynomial has 3 terms, this is a trinomial.

And so on.

In this particular case we have:

52*c^2*y^4

Where c and y may be variables.

We can see that here we have only one term, so this would be a monomial.

(notice that the number of variables does not affect the type of polynomial in this case, only the number of terms)

Answer:

binomial.

Step-by-step explanation:

The polynomial −50c3z3−41y220z4 has 2 terms, so it is a binomial.

Answer:    The loss is 4%  

Step-by-step explanation:

Lets call litches that are 20 pcs per Rs 100  - litches A

that are 30 pcs per Rs 100- litches B

So a man can buy 2 pcs A per Rs 10

and 3 pcs B per Rs 10

OR

6x  pcs  A per  Rs  30x  

and 6x  pcs  B  per  Rs  20x

Now he gonna sell the 12x  litches  for y Rs

Lets find y from the proportion

12x  cost y

25   cost 100

y/12=100/25

y=48  Rs

So the man bought 6x A + 6x B  for 20x+30x=50 Rs

And then he sold them for 48 Rs

Obviously the man gonna loose the money.

Lets find the losses in %

(50-48)/50*100=200/50=4%

The loss is 4%  

Answer:

1/5 if a kilometer

Step-by-step explanation:

Since it was 1/60 of a kilometer which is 0.0166 of the kilometer.

So In 12 minutes he would cover 0.2 of the kilometer which is 1/5

The distance Olivia swims in 2 minutes is 1/30 km.

Given,

It takes Olivia one minute to swim 1/60 of a kilometer.

We need to find out how far can she swim in 12 minutes.

Suppose if we have,

3 items cost = $9

Cost of one item = $9 / 3 = $3

If in 5 minutes one can walk for 1km

In 10 minutes one can walk:

= (10/5 x 1) km

= 2 km

Find the distance Olivia swims in one minute.

= 1/60 km

Find the distance Olivia swims in 2 minutes.

We have,

1 minute = 1/60 km

Multiply both sides by 2.

2 x 1 minute = 2 x 1/60 km  

2 minutes = 1/30 km

Thus the distance Olivia swims in 2 minutes is 1/30 km.

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Answer:

[tex]\boxed{x=0}[/tex]

Step-by-step explanation:

[tex]|x-5|=|x+5|[/tex]

Solve absolute value.

There are two possibilities.

First possibility:

[tex]x-5=x+5\\0=10[/tex]

No solution.

Second possibility:

[tex]x-5=-(x + 5)\\x-5=-x-5\\2x=0\\x=0[/tex]

Answer:

19*25= 475

Step-by-step explanation:

You can either use a calculator or use the standard operation

Answer: x = 1

Step-by-step explanation:

x = 1 provides one solution for any linear equation, as it is a straight vertical line.

Hope it helps <3

Answer:

x=2

Step-by-step explanation:

Our equation is y=2x+4

the line goes through (2,0) and (0,4)

This equation has one solution for y=0

there are millions of similar equations that has one solution like:

x = 2