we have 5 multiple choice questions with four choices with two correct answers each. if we just randomly guess on each of the 5 questions, how many questions do you expect to choose correct answers? (no need to be integer for the number of questions)

Answer: The 2 Plan will have same cost of $2149 after 64 sessions.

Let the Two plan be Plan A and Plan B.

Also let the number of session be

According to given detail

Plan A =

Plan B =

We need to find the value of when both are equal.

Plan A = Plan B

=

Solving above equation we get;

Number of session are 64.

Cost after 64 session will be,

Plan A =

Plan B =

Hence The 2 Plan will have same cost of $2149 after 64 sessions.

Step-by-step explanation:

Given that the signal gets larger than 210 microvolts, there is a 2.335 % chance that it is also larger than 240 microvolts.

As, per the given question.

Gaussian random variable n (200, 256)

Part a: Probability that signal will exceed 240 micro volts.

P(x > 240) = 1 - P(x ≤ 240)

P(x > 240) = 1 - P(240 - 200)/16

P(x > 240) = 1 - P(2.5)

See p value for z = 2.5

P(x > 240) = 0.00621

Thus, Probability that signal will exceed 240 micro volts is 0.00621.

Part b:  larger than 210 micro volts.

P(x ≥ 240) | x ≥ 210) = P(x ≥ 240) / P(x ≥ 210)

P(x ≥ 240) | x ≥ 210) = 1 - P(240 - 200)/16 /  1 - P(210 - 200)/16

P(x ≥ 240) | x ≥ 210) = 0.00621 / 0.26599

P(x ≥ 240) | x ≥ 210) = 0.02335

Thus, for the signal gets larger than 210 microvolts, there is a 0.02335 percent chance that it is also larger than 240 microvolts.

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Answer:

(2x + 1) and (x - 5)

Step-by-step explanation:

(2x + 1)(x - 5) = 2x^2 - 9x - 5

Answer:

Step-by-step explanation:

to find area of a rectangle we use (L)(W) so we do that here for both of these rectangles first find the area of the black top

5x(3x)

15x^2 is the area of the blacktop

The “!ield” area is next

12x(7x)

84x^2 is the area now we just subtract the two numbers by subtracting coefficients but keeping the rest the same

84x^2-15x^2

69x^2 is the area of the rectangle that is not black top

B- the foundtain we find with the area of circle formula r squared times pi

3x(3x)pi

9x^2pi

Now we just subtract this from the area of the rectangle

69x^2 -9x^2pi is the area

Hopes this helps please mark brainliest

The missing base for the expression x² = 100 is given by:

± x = 10.

The expression in this problem is given as follows:

x² = 100.

The missing base is represented by the variable x, hence we have to solve the above expression x² = 100 for the variable x.

To solve for x, we need to isolate the variable x, applying the inverse operation to the second power, which is the square root, hence the variable x is isolated as follows:

x = plus/minus square root of 100.

The plus/minus sign is necessary because the x-squared function is even, then the missing base is obtained as follows:

x = ± 10.

Plus/minus 10 because both of these statements are true:

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The equation of a line is y = 5x - 6

What is Equation of line ?

A straight line's general equation is y = mx + b, where m denotes the gradient or slope and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.

The given points are (2, 4) and (-4, 6)

The equation of line is given ,

y = mx + b

where, m = slope

b = y - intercept

To find slope , we have formula

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

let, (x1, x2) = (2, 4) and

(y2, y1) = (-4, 6)

Now, put the values in slope formula,

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

m = (6 + 4) / 2

m = 10 / 2

m = 5

We get slope, now find y-intercept i,e, 'b'

y = 5x + b

so take any point to find 'b'

Let's take the point (2, 4) which is (x, y) so now put the (x, y) and find 'b'.

4 = 5 * 2 + b

4 = 10 + b

b = 4 - 10

b = -6

so, now put the values of slope and y-intercept in equation of line i.e,        y = mx + b

y = 5x - 6

Hence, the equation of a line is y = 5x - 6

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Answer:The percentage decrease in the number of students​ is -10%.

Given that,

The school has 1,200 students last year.

And, this year it is 1,080.

Based on the above information, the calculation is as follows:

Therefore we can conclude that the percentage decrease in the number of students​ is -10%.

Step-by-step explanation: noice

Answer:

it would take 3,000 neyland stadiums to take 300milion people is rounded i hope this helps

Step-by-step explanation:

Answer:

x = 650/7

Step-by-step explanation:

7/26 = 25/x

7*x = 25*26

7x = 650

x = 650/7

Check:

7/26 = 25/(650/7)

7/26 = 25*7/650

7/26 = 175/65

7*650 = 26*175 = 4550

The range of the confidence interval for the mean load needed to separate the wood is (29,485.192 , 32,114.8).

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. The size of a 90% confidence interval for a given estimate is one way to gauge how "excellent" it is; the greater the interval, the more care must be used when utilizing the estimate. Confidence intervals serve as a crucial reminder of the estimates' limits.

Given,

Data set: (33190, 31860, 32590, 26520, 33280, 32320, 33020, 32030, 30460, 32700, 23040, 30930, 32720, 33650, 32340, 24050, 30170, 28730, 31920)

The normal distribution's standard deviation, s = 3000 pounds

95% confidence interval

N = 20 observations were made.

Mean = 30,800

Margin of error :

z₇ × √3000².20

±1.314.8079

Confidence interval

= Mean + Margin of error

= 30,800 ±1.314.8079

= 29,485.192 , 32,114.8

The range of the confidence interval for the mean load needed to separate the wood is (29,485.192 , 32,114.8).

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Question 1

[tex]\frac{a-0}{a-0}=1[/tex]

Question 2

[tex](1)(-1)=-1[/tex]

Answer: the statement is false

Step-by-step explanation:

This measure of effect is influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also the prevalence of exposure in the population.

As stated, population etiology fraction is a measure of the disease rate in a population attributable to the exposure of interest. This is a measure that can be influenced only by the exposure caused due to a particular disease. Hence it can be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also with the prevalent of the exposure in the population.

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Answer:

0.02 or 2%

Step-by-step explanation:

$700(x)=$714

$700(0.02)=14

700+14=714

The equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4) is y = (-2/5)x + 2

The given equation of the line is

5x - 2y = -6

Ax + By = C1

Bx - Ay = C2

are perpendicular.

Then the perpendicular to the line 5x - 2y = -6 is 2x + 5y = C2

We have to find the value of C2

The line is passing through the point (5, -4)

Substitute the values in the equation and find the value of C2

2(5) + 5(-4) = C2

C2 = 10 -20

= -10

The equation will be 2x + 5y = -10

Rearrange the terms and make it slope intercept form

2x + 5y = -10

5y = -10 -2x

5y = -2x - 10

y = (-2/5)x - 2

Hence,  equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4) is y = (-2/5)x + 2

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The required equation to determine the number of red sheets, r, required for each card is 8r + 20 = 30.

Let the required number of red paper be r. For one card, the 2.5 sheets of yellow paper are required. So, for 8 thank-you cards, the yellow papers required will be = 8×2.5

Number of yellow papers = 20

Total number of sheets required = Number of yellow sheets for 8 cards + Number of red sheets for 8 cards

Keep the values in formula to form the equation

30 = 20 + 8r

8r = 10

r = 10/8

r = 1.25

So, the equation for calculation of number of red papers for each card is 1.25.

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Answer: Triangle VUT:

84:70:42

Triangle RSQ:

30:25:15

Final simplified answer: 2.8:2.8:2.8

Scale factor of 2.8

Step-by-step explanation:

Each triangle's sides are a part of the ratio, then you divide each side by the corresponding one (84 by 30, and 70 by 25) to get your scale factor.

The diagonals of a square are equal to each other

Let ABCD be a square.

We need to prove that the diagonals are equal to each other

AC=BD and AC and BD bisect each other at right angles

(i) Considering the ΔABC and ΔBAD,

AB=AB ( common line)

BC=AD ( opppsite sides of a square)

∠ABC=∠BAD ( = 90° )

ΔABC≅ΔBAD( By SideAngleSide property)

AC=BD ( by CPCT).

(ii) Now in triangles ΔOAD and ΔOCB,

AD=CB ( opposite sides of a square)

∠OAD=∠OCB ( transversal AC )

∠ODA=∠OBC ( transversal BD )

ΔOAD≅ΔOCB (ASA property)

OA=OC ---------(i)

Similarly OB=OD ----------(ii)

From (i) and (ii)  we can conclude that AC and BD bisect each other.

Now in a ΔOBA and ΔODA,

OB=OD ( from (ii) )

BA=DA

OA=OA  ( common line )

ΔAOB=ΔAOD----(iii) ( by CPCT

∠AOB+∠AOD=180°  (linear pair)

2∠AOB=180°

∠AOB=∠AOD=90°

Therefore, it is proved that AC and BD bisect each other at right angles.

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Answer:2

Step-by-step explanation:

2*4=8

2*25=50

The probability that you guess the combination correctly 0.00001.

We know that the probability of an event is (possible outcome/total outcome)

I will assume that repeats are allowed as in most combination locks so the number of possible codes

= 10⁵ = 100000

We also know that there is only one correct combination so the probability that you guess the combination correctly

= 1/10⁵ = 1/100000 = 0.00001

Orchestrating individuals, digits, numbers, letters in order, letters, and tones are instances of changes. Choice of menu, food, garments, subjects, and group are instances of combination.

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Answer:

40 cm²

Step-by-step explanation:

Let,

length ( l ) = 4 cm

Height ( h ) = Width ( w ) = 2 cm

To find : Surface are of cuboid : -

Formula : -

Surface are of cuboid = 2 [ lh + hw + wl ]

Surface are of cuboid

= 2 [ ( 4 )( 2 ) + ( 2 )( 2 ) + ( ( 2 )( 4 ) ]

=  2 [ 8 + 4 + 8 ]

= 2 [ 20 ]

= 2 x 20

= 40 cm²

By secant line formula, the missing value of the point S is equal to 4.

Two line segments are parallel if and only if both line segments have the same slope. Slopes can be determined by secant line formula, defined below:

m = Δy / Δx

Where:

Then, the missing value of the variable y in the point S is:

(- 4 - 3) / (8 - 1) = (y - 9) / (7 - 2)

- 7 / 7 = (y - 9) / 5

- 1 = (y - 9) / 5

- 5 = y - 9

y = 4

The missing value of the variable y is 4.

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The length of rectangle is 1170 ft and width is 770 ft.

The perimeter of a form is the space surrounding its edge. A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. We must sum up the lengths of the rectangle's four sides in order to get its perimeter. Since there are two of each side length, it is easy to accomplish this by simply adding the length and width and multiplying the result by two. The perimeter formula is defined as perimeter=(length + width)2.

Given,

The perimeter of the flag is 2,280 ft .

Length = 400 ft

Let l represent the size of the flag.

and

The width is w.

then in line with the preceding statement

l = w+400

Sphere size is 2280 feet.

The perimeter formula is provided by:

Perimeter = 2(Length + Width)

2280 = 2( w + w+ 400)

2280/2 = 2w - 400

1140 + 400 = 2w

1540 = 2w

width = 770

Length = 770 + 400

Length = 1170

The length of rectangle is 1170 ft and width is 770 ft.

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The slope of the line is Positive

What is the Slope of a line:

The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”

The slope of the line at different positions:  

When we go from left to right on the graph if the line moves up then the slope of the line will be positive  

When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero  

The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined

From the given picture,

We can say that from left to right the given line is moving upwards

Therefore

From the above observation slope of the line is Positive

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Juan wants to buy a video game for $63  He saves  every Friday $12.

An equation to represent Juan’s total savings, , in dollars, after  Fridays y is  

Part A is

y =12x

Fridays will it take for Juan to save up enough money for the video game is .

Part B

y >  63

12 x > [tex]5\frac{1}{4}[/tex]

x  =  6

so

That means 6 fridays

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fi r e re r er e r er e re r e r er e re

The sum of the digits of n is 3 if n is the second smallest positive integer that is divisible by every positive integer less than 7

What is least common multiple?

The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.

It can be calculated for two or more numbers as well.

For example, LCM of 10, 2 and 7 is 70.

According to the given question:

Now n must be divisible by every positive integer less than 7, or

1, 2, 3, 4, 5, and 6.

Each number that is divisible by each of these is a multiple of their least common multiple.

LCM (1,2,3,4,5,6) = 60

So each number divisible by these is a multiple of 60.

The smallest multiple of 60 is clearly 60, so the second smallest multiple of 60 is 2 x 60 = 120.

Therefore, the sum of the digits of n is 1+2+0 = 3

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Answer:f(x)=10e^4x

Step-by-step explanation:

f(x)=C*e^4x

f(0)=c*e^4.0

10=C*e^4.0

10=C

f(x)=C*e^kx

f(x)=C*e^4x