The sum of two numbers is __________ greater than either number.
a) Always
b) Sometimes
c) Never
d) Not enough information

Answer:

for some reason I cant see the picture

can you send it again so I can answer

Step-by-step explanation:

Answer:

A,D

Step-by-step explanation:

Answer:

Five coins are tossed the probability of getting two heads is 5/16.

Step-by-step explanation:

I hope it will be helpful for you.

The number of students who passed the examination is 152.

Given: Marks distribution in Mathematics

To Find: Plot an ogive, the median, the number of students who scored distinction marks (75% and above), and the number of students who passed the examination if the pass marks are 35%.

Solution:

Marks Number of students

Less than 10 7

Less than 20 28

Less than 30 54

Less than 40 71

Less than 50 84

Less than 60 105

Less than 70 147

Less than 80 180

Ogive:

An ogive is a graph that represents the cumulative frequency distribution of a set of data. To plot an ogive, we plot the upper limits of each class on the x-axis and the corresponding cumulative frequency on the y-axis. We then join the points with a free-hand smooth curve to obtain the ogive.

Median:

To find the median from the graph, we draw a line from the value of 50 on the y-axis to the ogive curve and then drop it down to the x-axis. The point where the line intersects the x-axis gives us the median. In this case, the approximate median value from the graph is 52.

The number of students who scored distinction marks:

To find the number of students who scored distinction marks (75% and above), we first calculate 75% of the total number of students, which is 0.75 x 180 = 135.

From the ogive graph, we see that the number of students who scored less than 75% marks is 105.

Therefore, the number of students who scored 75% or more marks is 180 - 105 = 75.

The number of students who passed the examination:

To find the number of students who passed the examination if the pass marks are 35%, we first calculate 35% of the total number of students, which is 0.35 x 180 = 63.

From the ogive graph, we see that the number of students who scored less than 35% marks is 28.

Therefore, the number of students who passed the examination is 180 - 28 = 152.

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The midpoint between the endpoints (9, -1) and (1, 15) is equal to (5, 7).

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Substituting the given parameters into the midpoint of a line segment formula, we have the following;

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Midpoint = [(9 + 1)/2, ((-1) + 15)/2]

Midpoint = [(10)/2, (14)/2]

Midpoint = (5, 7).

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To simplify the expression 3z^5+5z^4+z+5/z+2, we can start by simplifying the expression inside the fraction:

3z^5+5z^4+z+5/z+2 = (3z^5+5z^4+z+5) / (z+2)

Next, we can use the fact that the same term can be added to both the numerator and the denominator of a fraction without changing the value of the fraction:

(3z^5+5z^4+z+5) / (z+2) = ((3z^5+5z^4+z+5) + (z+2) - (z+2)) / (z+2)

This simplifies to:

((3z^5+5z^4+z+5) + (z+2) - (z+2)) / (z+2) = (3z^5+5z^4+z+5-z-2) / (z+2)

Then, we can simplify the expression inside the parentheses:

(3z^5+5z^4+z+5-z-2) / (z+2) = (3z^5+5z^4+z-z-2) / (z+2) = (3z^5+5z^4-2) / (z+2)

Finally, we can use the fact that the same term can be added to or subtracted from both the numerator and the denominator of a fraction without changing the value of the fraction:

(3z^5+5z^4-2) / (z+2) = ((3z^5+5z^4-2) + 2 - 2) / (z+2) = (3z^5+5z^4) / (z+2)

Therefore, the simplified form of the expression 3z^5+5z^4+z+5/z+2 is (3z^5+5z^4) / (z+2).

The force created by the object is 3.75 Newton.

Given

Mass of the object (m)  = 1250 grams

Convert 1250 grams to kilograms by dividing it by 1000.

Mass (m) = 1.25 kg

Acceleration of the body (a) = 3 \(m/s^{2}\)

From Newton's second law we know \(F= m *a\)

By Substituting in the above equation we get

Force = 1.25 x 3

Force = 3.75 \(kg/m /s^{2}\)

It can also be written as force = 3.75 N

Hence Force created by the body is 3.75 Newton.

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Answer:

three hundred forty-six point seven hundred twenty five. Or three hundred forty-five and three hundred forty-five thousandths

Step-by-step explanation:

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

Answer: 14x+30y-20

Step-by-step explanation:

= 14(x+y)+y-20+15y

= 14x+14y+y-20+15y

= 14x+30y-20

slope=7

Explanation

the slope of a line ( or segment) is given by

so

Step 1

Let

now,replace in the formula

therefore, the slope is 7

I hope this helps you

Answer: ∠1 = 90°

Step-by-step explanation:

      There are a few steps we will take to solve this problem. In each step, I will write an equation to help us solve, then use inverse operations to solve.

      First, we will use the exterior angles theorem to find the measurement of ∠3 (this will help us solve for ∠2, then for ∠1).

89° = 51° + ∠3

∠3 = 38°

      Next, we will find the measurement of ∠2 since we know ∠2 plus ∠3 is 90 degrees, as shown by the perpendicular lines and the box.

90° = ∠3 + ∠2

90° = 38° + ∠2

∠2 = 52°

      Lastly, we will solve for ∠1. We know that there are 180 degrees in a triangle.

180° = 38° + ∠1 + ∠2

180° = 38° + ∠1 + 52°

180° = 90° + ∠1

∠1 = 90°

Answer:

90

Step-by-step explanation:

I started by finding angle 5

180 - 89 = 91  Supplemental angles

Then I found angle 3

The sum of the interior angles of a triangle is 180

180-89-91 = 38

Angle2 and 3 are complementary angles

90- 38 =52

the sum of the interior angles of a triangle is 180

Angle 1

180 - 52 - 38 = 90

Answer:

the length she swim = 24m

time taken = 40 minutes =40/60hour

rate of speed= 24/(40/60)= 36mper hour

Step-by-step explanation:

Step-by-step explanation:

Because Molly swam across the pool 24 times, she swam a total of 24 * 25m = 600 meters.

600m in 40 minutes

Since 40 minutes * 1.5 = 60 minutes = 1 hour,

600m * 1.5 = 900m.

Hence Molly's speed was 900m/h.

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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4.68

find unit rate by dividing 208 cents by 16 which is 13 than multiply by 36

Answer:

16 inches of ribbon cost- $2.08

36 inches of ribbon cost- ?

36*$2.08/ 16

$74.88/16

= $4.68

Thus, 36 inches of ribbon would cost $4.68

Answer:

a) If the diameter is 400 feet wide, then the radius is half that, which is 200 feet wide.

b) The circumfernce is π times the diameter, which is 400 feet. 400×π≈1256.64

c) She is not correct. She squared 400, which is 160000, when she should have squared 200, which is 40000. Then, multiply by π.

40000 × π ≈ 125663.7

To find the probability that the mean weight of 19 fish is between 16.1 and 20.6 lb, you would need to know the distribution of the weights of the individual fish. If the weights of the fish are normally distributed with a mean of 18.4 lb and a standard deviation of 2.5 lb, then you can use a normal distribution to find the probability that the mean weight of the 19 fish falls in the specified range.

How does probability work exactly?

Probability is calculated by dividing the total possible outcomes by the number of outcomes that are theoretically possible. Probability differs from odds in this regard. Calculating odds involves dividing the likelihood of a particular event by the likelihood that it won't occur.

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The value of cos θ is equal to 1/3 when sec θ= √6/2.

Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.

Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.

In other words, secθ = 1/cosθ

Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.

cosθ = 1/secθ

We are given that secθ= √6/2

We can use this value to find cosθ= 1/secθ

cosθ = 1 / (√6/2)

To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).

cosθ = ((2/√6) / (√6/2) * (2/√6))

cosθ = (2/√6) / 1

cosθ = (2/√6 * √6/√6)

cosθ = 2/6 = 1/3

Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.

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Answer:

\(\boxed{y=|\frac{1}{2}x - \frac{3}{2}|+3}\)

Step-by-step explanation:

The translation is a horizontal translation.

The graph is translated 1 unit to the left. So the value of x is added by 1.

\(f(x+1)\)

\(y=|\frac{1}{2} (x+1)-2|+3\)

\(y=|\frac{1}{2}x + \frac{1}{2} -2|+3\)

\(y=|\frac{1}{2}x + - \frac{3}{2}|+3\)

Answer:

Domain:  

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

(-∞,∞),{x|x∈ℝ}

Range:  

[

−

4

,

∞

)

,

{

y

|

y

≥

−

4

}

[-4,∞),{y|y≥-4}

Step-by-step explanation:

The third-degree Maclaurin polynomial for f(x) = sin(x) is P3(x) = x - (x^3) / 6.

To find the nth Maclaurin polynomial for the function f(x) = sin(x) when n = 3, we need to compute the polynomial up to the third-degree term.

The Maclaurin polynomial for a function f(x) centered at x = 0 is given by the formula:

Pn(x) = f(0) + f'(0)x + (f''(0)x^2) / 2! + (f'''(0)x^3) / 3! + ...

Let's calculate the nth Maclaurin polynomial for f(x) = sin(x) when n = 3:

First, we find the values of the function and its derivatives at x = 0:

f(0) = sin(0) = 0

f'(x) = cos(x), so f'(0) = cos(0) = 1

f''(x) = -sin(x), so f''(0) = -sin(0) = 0

f'''(x) = -cos(x), so f'''(0) = -cos(0) = -1

Using these values, we can write the Maclaurin polynomial:

P3(x) = 0 + 1x + (0x^2) / 2! + (-1x^3) / 3!

Simplifying further, we have:

P3(x) = x - (x^3) / 6.

Therefore, the third-degree Maclaurin polynomial for f(x) = sin(x) is:

P3(x) = x - (x^3) / 6.

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Answer:

$6.50

Step-by-step explanation:

SET UP A SYSTEM OF EQUATIONS WHERE SANDWHICHES IS REPRESENTED BY S AND DRINKS BY D:

6S+4D = 53

4S+6D=47

ADD THEM TOGETHER

10S+10D=100

SOLVE FOR D

10D = 100 - 10S

D = 10-S

SUBSTITUTE THAT VALUE INTO ONE OF THE ORIGINAL EQUATIONS

4S + 6(10-S) = 47

4S + 60 - 6S = 47

COMBINE LIKE TERMS

-2S + 60 = 47

SUBTRACT 60 FROM BOTH SIDES

-2S = -13

DIVIDE BY -2

S = 13/2

S = $6.50

Answer:

One sandwich is going to cost 6.50 while a drink is going to cost 3.50

Step-by-step explanation:

"We want to find and solve a system of equations to find the cost of one sandwich.

Each sandwich costs $6.50

We can start by defining the variables:

x = price of a sandwich

y = price of a drink.

Then from the given information we can write the equations:

6*x + 4*y = $53

4*x + 6*y = $47

We want to solve this for x, then we need to isolate y in one of the equations. Isolating y in the second equation we get:

y = ($47 - 4*x)/6

Now we can replace this in the other equation and solve it for x:

6*x + 4*($47 - 4*x)/6 = $53

6*x + $31.33 - (16/6)*x = $53

(20/6)*x = $53 - $31.33 = $21.67

x = (6/20)*$21.67 = $6.50" solved by  

facundo3141592

The values of the missing angles and sides after dilation are:

m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'

m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC  (dilation)

m∠C'B'D = 180° - 34° - 51° = 95°

Thus, by way of scale factor we can say that:

BC/B'C' = BD/B'D' = 36/18 = 2

B'D' = ¹/₂BD = ¹/₂ * 22 = 11

ΔC'P'Q ∼ ΔCPQ

Thus:

C'Q'/CQ = C'D'/CD = D'Q'/DQ

CQ = 2C'Q' = 2 * 3 = 6

Therefore, m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

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Based on the given information in Exhibit Cape May Realty, the question is asking to test the significance of the slope coefficient at a significance level of a = 0.10. The p-value is less than 0.10, which means that the null hypothesis can be rejected. This leads to the conclusion that the population slope coefficient is different from zero. Therefore, option C is the correct answer.

This means that there is a statistically significant relationship between square footage and property rental rate. As the slope coefficient is different from zero, it indicates that there is a positive or negative relationship between the two variables. However, it does not necessarily mean that there is a causal relationship. There could be other factors that influence the rental rate besides square footage.

In summary, the statistical analysis conducted on Exhibit Cape May Realty indicates that there is a significant relationship between square footage and property rental rate. Therefore, the population slope coefficient is different from zero. It is important to note that this only implies a correlation, not necessarily a causal relationship.

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The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Answer:

American settlers and American Indians often clashed as settlement spread across the West during that era.

Step-by-step explanation:

American Indian resistance in the Ohio River Valley ended with.

Answer:

A.) The Treaty of Greenville

Step-by-step explanation:

I hope the answer is correct, if not, I'm very sorry ♡

Answer:

The measure confirming that PQRS would be 25

Step-by-step explanation:

It's easier if you draw it down.

1. We need to make this shape a parallelogram and the way we will do that is by making angle Q and angle S the same, because in parallelograms those opposite angles are required to be the same.  

                             \

                        155 \

P \ -------------------------\ Q

    \                         25 \

      \                               \     so that's your shape  

   S   \______________\ R

2.We were given that the exterior angle of Q measures 155, and since exterior and interior angles combined make 180, then we can assume that the interior angle of Q is 25.

3. As mentioned before, in a parallelogram, opposite angles are the same and  therefore PSR (which is just asking for the middle letter, S) is equal to 25 because Q is also 25.  

Answer: Isolation,adaption,overpopulation

Step-by-step explanation:

Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26