A student takes a true-false test consisting of 10 questions. Assuming the student guesses at each question, find the probability that the student gets a 60% on the test.

Answer:

90

Step-by-step explanation:

See image below:)

Answer:

15

Step-by-step explanation:

6x+3 = 7x-12

6x-7x=-12-3

-x= -15

x= 15

6x+3 = 7x-12

6x-7x=-12-3

-x= -15  from now on we know that x is now 15

so the answer is 15

Answer:

The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.

Step-by-step explanation:

Typically there are about 52 such attempts noted each day. Test if there has been a statistically significant increase.

At the null hypothesis, we test if the mean is the same, that is of 52. Thus:

[tex]H_0: \mu = 52[/tex]

At the alternative hypothesis, we test if there has been an increase, that is, if the mean is greater than 52. So

[tex]H_1: \mu > 52[/tex]

Use the standard level for alpha.

So [tex]\alpha = 0.05[/tex]

The test statistic is:

We have the standard deviation for the sample, so t-distribution.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

52 is tested at the null hypothesis:

This means that [tex]\mu = 52[/tex]

Over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2.

This means that [tex]n = 30, X = 57, s = 17.2[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{57 - 52}{\frac{17.2}{\sqrt{30}}}[/tex]

[tex]t = 1.59[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 57, which is a right-tailed test with t = 1.59 and 30 - 1 = 29 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.0613.

The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.

Answer:

x= 2, y= 5

Step-by-step explanation:

5x -4y= -10 -----(1)

3x +2y= 16 -----(2)

(2) ×2:

6x +4y= 32 -----(3)

(1) +(3):

5x -4y +6x +4y= -10 +32

11x= 22

x= 22 ÷11 (÷11 on both sides)

x= 2

Substitute x= 2 into (2):

3(2) +2y= 16

6 +2y= 16

2y= 16 -6

2y= 10

y= 10 ÷2

y= 5

Answer: -2 (b)

Step-by-step explanation:

So the slope of the line is the amount that the line changes as it goes along the x or y axis. Think of it like a ramp- goes up or down, steep or flat.

Take a pair of points like (-4, 11) and (2, -1)

{But you can use other points in the chart too. }

-4 to 2 is a distance of 6 --> that is the x

11 to -1 is a distance of -12 --> that is the y

We want the change in y over (or divided by) change in x.

-12 / 6 = -2

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1) ← 2 ordered pairs from the table

m = [tex]\frac{-1-11}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2 → B

Answer:

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Conditional probability:

Event A: Leaves on time

Event B: Raining

Probability that the flight will be delayed is 0.08.

So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]

The probability that it will not rain and the flight will leave on time is 0.82.

0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:

[tex]P(A \cap B) = 0.1[/tex]

What is the probability that it is raining if the flight leaves on time?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Answer:

30 minutes to 120 minutes.

Step-by-step explanation:

Answer:

2 hrs=120 min

30:120=1:4

Step-by-step explanation:

ans is 1:4

marke brainliest plzzzzzzz

9514 1404 393

Answer:

  x = 10·cos(θ) -4·cot(θ)

Step-by-step explanation:

Apparently, we are to assume that the horizontal lines are parallel to each other.

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

If the junction point in the middle of AB is labeled X, then we have ...

  sin(θ) = 4/BX   ⇒   BX = 4/sin(θ)

  cos(θ) = x/XA   ⇒   XA = x/cos(θ)

Then ...

  BX +XA = AB = 10

Substituting for BX and XA using the above relations, we get

  4/sin(θ) +x/cos(θ) = 10

Solving for x gives ...

  x = (10 -4/sin(θ))·cos(θ)

  x = 10·cos(θ) -4·cot(θ) . . . . . simplify

_____

We used the identity ...

   cot(θ) = cos(θ)/sin(θ)

Let's solve the equation:

9x + 27 =  9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2

9x + 27 = 9x + 18 + 9 ← Combine like terms

9x + 27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

0 = 0  

{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}

hope this helps..........

Answer:

x=1

Step-by-step explanation:

9x+27=9(x+2)+9

9x+27=9x+18+9

9x+27=9x+27

9x=9x

x=1

Answer:

The slope is 2

Step-by-step explanation:

Slope formula:

m=(y2-y1)/(x2-x1)

Given:

y2 = -10

y1 = -6

x2 = 2

x1 = 4

Work:

m=(y2-y1)/(x2-x1)

m=(-10 + 6)/(2 - 4)

m= (-4)/(-2)

m = 2

Answer:

n = 106

Step-by-step explanation:

Given  

p = 0.5 and 1-p = q = 0.5

Margin of error = 0.08  

Confidence level = 90%  

Z score for 90% confidence level =     1.65

As we know -  

Margin of error = z * Sqrt (pq/n)

Substituting the given value, we get –  

0.08 = 1.65 * Sqrt (0.5*0.5/n)

Squaring both the sides and solving, we get  

n = 1.65^2*0.5^2/0.08^2

n = 106.34 = 106

Answer:

20

Step-by-step explanation:

mean is average

add all numbers get 160

divide by number of numbers (8) and get 20

Answer:

when you find the mean of a data set, you add all the numbers up then you divide the sum by the numbers in total. the sum is 160, you then divide by total of number which is 8 . your answer is 20. not sure if that made sense lol

Answer:

62 miles per hour

Step-by-step explanation:

620mile/10hrs

62miles/hr

62 miles per hour

Answer:

it equals 2000 mililiters

Step-by-step explanation:

Answer:

53 yds

Step-by-step explanation:

Its just 3975 divided by 75

Answer:

$460

Step-by-step explanation:

Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.

9514 1404 393

Answer:

  6283 cm

Step-by-step explanation:

The circumference of the wheel is given by ...

  C = πd

  C = π(20 cm) ≈ 62.83185 cm

100 turns of the wheel will be a distance 100 times this value, or ...

  race = 100C = 100(62.83185 cm) = 6283.185 cm

Chubby ran about 6283 cm.

__

Additional comment

To get the required 4 significant figures in the answer, we used the "pi button" on the calculator. Alternatively, you could use the ratio π ≈ 355/113, which is good for 6 significant figures.

Answer:

Tn = -13n +37

ordered list is 24, 11 , -2 , -15, -28 ,-41

Answer:

Step-by-step explanation:

Given Question,

8b - 5a + 4

Given Values:

a = -4 and b = 7

Solution,

8(7) - 5(-4) + 4

= 56 + 20 + 4

= 80 (Ans)

Answer:

80

Step-by-step explanation:

8b - 5a + 4

a = - 4

b = 7

8(7) - 5(- 4) + 4

56 - (- 20) + 4

56 + 20 + 4

60 + 20

80

Answer:

x = 10

Step-by-step explanation:

m∠KNL = 90

10x - 10 = 90

10x = 100

x = 10

Answer: The cost of each pound of jellybean is $2.5

The cost for each pound of trail mix is $1.5

Step-by-step explanation:

Let the cost for each pound of jellybeans be x.

Let the cost of each pound of trail mix be y.

Based on the information given, we can form an equation which will be:

For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. This will be:

2x + 12y = 23 ...... i

For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. This will be:

5x + 3y = 17...... ii

2x + 12y = 23 ...... i

5x + 3y = 17...... ii

Multiply equation i by 5

Multiply equation ii by 2

10x + 60y = 115 ...... iii

10x + 6y = 34 ..... iv

Subtract iv from iii

54y = 81

y = 81/54

y = 1.5

The cost for each pound of trail mix is $1.5

From equation i

2x + 12y = 23

2x + 12(1.5) = 23

2x + 18 = 23

2x = 23 - 18

2x = 5

x = 5/2 = 2.5

The cost of each pound of jellybean is $2.5

Answer:

final answer:

y-1= 3x_6

To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.

.

.

9514 1404 393

Answer:

Step-by-step explanation:

A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.

__

For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.

__

For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.

Answer:

1 gallon

Step-by-step explanation:

gallons of paint needed; 4

gallons used: (3/4)*4

= 1 gallon was used

Answer:

Answer is 3 gallons

Step-by-step explanation:

1 gallon= 25%

2 gallons=50%

3 gallons=75%

3/4 is equivalent to 75%

Hope this helped!

Answer:

The correct answer would be 3/8.

Step-by-step explanation:

There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .

The theoretical probability that it will land on green is 1.

It is the likeliness of happening an event. It is calculated by the following formula:

Probability=number of events/number of total events.

Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.

Learn more about probability at https://brainly.com/question/25870256

#SPJ2

Step-by-step explanation:

Hey there!

According to the question;

Side (a) = 4cm

To find : area

Now;

[tex]area = \frac{ \sqrt{3} }{4} {(a)}^{2} [/tex]

[tex]or \: area = \frac{ \sqrt{3} }{4} ( {4)}^{2} [/tex]

[tex]area \: = 4 \sqrt{3} [/tex]

Therefore, area of triangle is 6.92 cm² or 4√(3) cm².

Hope it helps!

Answer:

h

Step-by-step explanation:

19 blocks

Answer:

original blocks  =19

Step-by-step explanation:

original blocks -7 =12

Add 7 to each side

original blocks -7+7 =12+7

original blocks  =19

Answer:

Answer: a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

First, find x

RT = 2x + 3x

10 = 2x+3x

10 = 5x

10/5 = 2

Now place 2 in place of x in the line ST

ST = 3x

ST = 3 * 2

ST = 6