A regional highway uses 8 tollbooths that are open to all vehicles. A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to determine whether the tollbooths are all used in equal proportions. A chi-square value of χ2=19.1 was calculated with a corresponding p-value of 0.008. Which of the following is correct?


A. There is insufficient evidence to suggest that the tollbooths are not used in equal proportions.

B. There is insufficient evidence to suggest that the tollbooths are used in equal proportions.

C. There is sufficient evidence to suggest that the tollbooths are not used in equal proportions.

D. There is sufficient evidence to suggest that the tollbooths are used in equal proportions.

E. The tollbooths are used in equal proportions.

Answer:

x = 60°

y = 50°

Step-by-step explanation:

✅x = 180° - (50° + 70°) (sum of interior angles of a triangle theorem)

x = 180° - 120°

x = 60°

✅Based on the exterior angle theorem, the sum of the opposite interior angles of a triangle = the exterior angle.

Therefore,

50° + 60° = x + y

Plug in the value of x

50° + 60° = 60° + y

110° = 60° + y

y = 110° - 60°

y = 50°

Answer:

X= 5

Y= 2

Y-X= 2-5= -3

Answer:

<TUX and <YXU

Step-by-step explanation:

:))))))))))

Answer:

-2 x 5=10

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

8x+2y=4

To find x-intercept say y=0 and solve the equation.

8x+2(0)=4

8x=4

x=4/8

x=1/2

Answer:

Step-by-step explanation:

Correct choice is C or orange tile

Answer:

B

Step-by-step explanation:

More students got more than 10 than students that didnt

Answer:

Step-by-step explanation:

curtis is 22 min 16 sec carol is 18 min 6 sec

4 mins and 10 seconds it the difference

Answer:

18

Step-by-step explanation:

have a good day :)))))))

Answer:

18

Step-by-step explanation:

the gcf is 18

have a great day!

Answer:

yes sir/ma'am omw

Step-by-step explanation:

have a great evening

Answer: I think it is T,F,T,T hope this helped

plz make brainly

Step-by-step explanation:

Answer:

G(-4,2), H(-3,-4), J(-1,1)

Step-by-step explanation:

The x-values would all become negative.

G(-4,2), H(-3,-4), J(-1,1)

Answer:

C.) (39 x 20)+(39 x 5)

Step-by-step explanation:

to multiply 39 by 25, you multiply 39 by 20, and then multiply 39 by 5

Answer:

$9,000

Step-by-step explanation:

$16,000 + $2,000 = $18,000

$18,000/2 = $9,000

I think this is correct but I'm not sure.

Answer:

( 3 , 9 )

Step-by-step explanation:

First, add  

3

to each segment of the system of inequalities to isolate the  

x  term while keeping the system balanced:

3 + 3 < 2 x − 3 + 3 < 15 + 3 6 2 x − 0 < 18  6 < 2 x < 18

, divide each segment by  2

to solve for  x

while keeping the system balanced:

6 2 < 2 x 2 < 18  2  3 < 2 x 2 < 9  3 < x <  9  Or  x > 3 ;  x< 9

Brainliest?

Ex) There are six outcomes for rolling a die: 1, 2, 3, 4, 5, and 6. ... Formula for Theoretical Probability. P (event) = outcomes possible of number ... Write the probability as a fraction. Ex) P(3). Ex) P(3 or 4). Ex) P(even). Ex) P(4) ... Ex) Mr. Hayes tossed a coin 12 times to determine whether or not it would land on hands or tails.

Videos

Answer:

Angle BOD = 75⁰

Step-by-step explanation:

Answer attached...

Hope it helps :)

Answer:

GCF= 14

Step-by-step explanation:

For the values 126 and 140

The highest common factor of 126 and 140 is 14

From the question,

We are to determine the highest common factor of 126 and 140

To do this,

We will list out the factors of the numbers

The factors of 126 are

126 - 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126

The factors of 140 are

140 - 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140.

From above, the common factors are 1,2,7 and 14, and 14 is the highest.

Hence, the highest common factor of 126 and 140 is 14

Learn more here: https://brainly.com/question/22575618

9514 1404 393

Answer:

  5.8496 min

Step-by-step explanation:

  [tex]\displaystyle t=\frac{10}{\ln{2}}\int_{220}^{280}{\frac{1}{T-100}}\,dT=\frac{10(\ln{(280-100)}-\ln{(220-100)})}{\ln{2}}=\frac{10\ln{(3/2)}}{\ln{2}}\\\\\boxed{t\approx5.8496\quad\text{min}}[/tex]

__

Modern calculators can perform integration with high accuracy. This one gives the same result.

Answer:

3/2 or 1.5 or 1 1/2

Step-by-step explanation

To divide, you must switch the -1/4 to its reciprocal which is -4/1 and then multiply the fractions (-3/8 * -4/1) and since negative - negative = positive. It's a positive.

Answer:

1700 grams...

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To estimate population proportion from a sample, we must ensure that the sample data is random. Though a simple random sample of college students from a particular college was used as the sample data. However, selection of the college should have been randomized as well, a stratified random sample would have been a better sampling method whereby certain colleges are selected based on region or other criteria and then a random sample of it's statistics students selected. The sample proportion Obtian from a sample of this nature will be more representative of the population proportion of all college statistic student.

Answer:

5cm

Step-by-step explanation:

What exactly do you mean by x?

The value of x is 5 cm.

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse2 = Base2 + Height2

162 = B2 + 82

B2 = 256 - 64

B = √192 = 13.856 units

Given:

Two sides are 4 cm and 3 cm

Using Pythagoras theorem

x² = 4² + 3²

x² = 16+ 9

x² = 25

x=√25

x= 5 cm

Also, the range of x is in between 1 cm and 7 cm.

Learn more about pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Answer:

The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Standard deviation of 1 minute.

This means that [tex]\sigma = 1[/tex]

Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.?

This is the pvalue of Z for X. So

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

[tex]Z = \frac{X - \mu}{1}[/tex]

[tex]Z = X - \mu[/tex]

The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.

Answer: 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

For the least common denominator, we have to find the smallest number that all fo them multiply to.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26

3, 6, 9, 12, 15, 18, 21, 24, 27, 30

8, 16, 24, 32

i think we can see something

24 is the most common number between them all, so the fractions will be

12/24 (1/2), 16/24 (2/3), and 9/24 (3/8)

Answer:

a_n = 50 - 5n, for n = 1,2, 3, ...

Step-by-step explanation:

a_1 = 50

a_2 = 50 - 5 = 45

a_3 = 50 - 2 * 5 = 40

a_n = 50 - (n - 1) * 5

a_n = 50 - 5n + 5

a_n = 50 - 5n

Answer:

an = -5n + 55.

Step-by-step explanation:

This is arithmetic with common difference -5.

an = a1 + d(n-1)

an = 50  - 5(n - 1)

an = 50 - 5n + 5

an = -5n + 55.

Step-by-step explanation:

given

[tex]y = 3x + 4[/tex]

[tex]y(2) = 3(2) + 4 \\ = 6 + 4 = 10[/tex]

Answer:

B) 10

Step-by-step explanation:

y=3x+4

y=3(2)+4

y=6+4

y=10

Hope this helps!