insert < or > between the given pair of integers to make a true statement -25. -16-25(blank)-16

Answer:

\(\cos \theta = \frac{\sqrt{15}}{4}}\)

Step-by-step explanation:

Recall that \(\sin(-\theta)=-\sin(\theta)\). Therefore, \(\sin\theta=-(-\frac{1}{4})=\frac{1}{4}\)

In any right triangle:

From \(\sin \theta=\frac{1}{4}\) and \(\tan \theta = \frac{\sqrt{15}}{15}\), we know:

Therefore, the desired answer is \(\boxed{\cos \theta = \frac{\sqrt{15}}{4}}}\).

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

gsgsgsg3248294

Step-by-step explanation:

nfsyfgyg7823782

Answer:

yes it is the right answer good job

Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Answer: 13,122

Step-by-step explanation:

Answer: 21.15 ft²

Step-by-step explanation:

We can use the formula for the area of a triangle:

(b×h)/2

In this case, the base is 9 and the height is 4.7.

So, we substitute the variables with the numbers in this problem.

(9 × 4.7)/2

9 × 4.7 = 42.3

42.3/2 = 21.15

So, our final answer is 21.15 ft²

Answer:

5x-10

Step-by-step explanation:

expand to 9x-12-4x+2

collect like terms.

5x-10

Answer:

X = 5

Step-by-step explanation:

28 = 7x + 3 - 2x

28 = 5x + 3

28 - 3 = 5x + 3 - 3

25 = 5x

25/5 = 5x/5

X = 5

Answer:

X = 5

Step-by-step explanation:

1. Combine like terms.

2. Subtract 3 from both sides.

3. Simplify.

4. Divide both sides of the equation by the same term.

5. Simplify.

Hope this helps!

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Step-by-step explanation:

To find a, the leading coeffiecent of the quadratic is a.

So a is 2.

To find b, we must use the formula

\( - \frac{b}{2a} \)

\( \frac{ - ( - 3)}{2(2)} = \frac{3}{4} \)

So b=3/4.

To find c, plug in 3/4 into the function,

which we get

\(2( \frac{9}{16} ) - 3( \frac{3}{4} ) + 21\)

\( \frac{9}{8} - \frac{9}{4} + 21 = \frac{9}{8} - \frac{18}{8} + 21 = - \frac{9}{8} + 21 = 19.875\)

So c=19.875

a) 16 or 2/5 ratio of blue marbles not chosen

b) 86 total no. of marbles was there before the game

c) 24 blue marbles were picked

Explanation:

a) total no of blue marbles = 40

ratio of chosen blue marbles = 3/5

blue marbles picked = 40 × 3/5 = 24

blue marbles not picked = 40-24 = 16

b) total no of blue marbles + total no of red marbles = 40+ 46

total no. of marbles was there before the game = 86

c) explained in a)

What is a Ratio?

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent. A ratio compares two numbers by division.

A survey of 20 respondents revealed that 13 of them preferred cake to ice cream and 7 preferred ice cream to cake. This data set can be represented as the ratio 13:7, where 13 is the antecedent and 7 is the consequent.

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The statement that W must be a subspace of V is "true."

Fr the given question;

To demonstrate that a subset is indeed a subspace, you must demonstrate three things:

As, it is given in the question that;

Which shows that the W must be within the subspace of V.

Thus, the set W is the subspace of V is true statement.

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The horizontal line passing through the point (2, -6) is y = -6 and the vertical line passing through the point (2, -6) is x = 2

We need to write equations for the horizontal and vertical lines passing through the point (2, -6)

For a vertical line the value of x will never change. This will be true for any value of y.

So, the equation for a vertical line passing through this point is:

x = 2

Similarly, for a horizontal line the value of y will never change. This is true for any value of x.

So, the equation for a horizontal line passing through this point is:

y = -6

Therefore, the horizontal line passing through the point (2, -6) is y = -6 and the vertical line passing through the point (2, -6) is x = 2

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Answer:

linear

Step-by-step explanation:

Answer:

you got that

Step-by-step explanation:

wet wet wet

Answer:

{ x : x > 2 }

Step-by-step explanation:

4x - 3 + 6x > 5x + 7 , that is

10x - 3 > 5x + 7 ( subtract 5x from both sides )

5x - 3 > 7 ( add 3 to both sides )

5x > 10 ( divide both sides by 5 )

x > 2

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

3.8731

Step-by-step explanation:

The standard deviation of the sampling distribution of the sample​ mean is also called the standard error of the mean expressed as;

SM = s/√n

s is the standard deviation of the random variable X

n is the sample size

Given

s = 15

n = 15

Required

Standard deviation of the sampling distribution of the sample​ mean.

Substituting the given parameters into the expression above;

SM = 15/√15

SM = 15/3.8729

SM = 3.8731

Hence the standard deviation of the sampling distribution of the sample​ mean is 3.8731

Step-by-step explanation:

here is your answer and marking me as brainlist

thank you

Answer 53/36

Step-by-step explanation:

If you want it in exact form it's 53/36

If you want it in mixed number form it's 1 17/36

If you want it in decimal form it's 1.472

Answer:

  6.7 ft³

Step-by-step explanation:

You want the volume of a square pyramid with a perimeter of 7.3 ft and a height of 6 ft.

The side of a square is 1/4 the length of the perimeter, so the side length of the base of the pyramid is ...

  s = P/4

  s = (7.3 ft)/4 = 1.825 ft

The volume of the pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base:

  B = s² = (1.825 ft)²

Then the volume is ...

  V = 1/3(1.825 ft)²(6 ft) = 6.66125 ft³

The volume of the pyramid is about 6.7 ft³.

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We can use the identity sin(2θ) = 2sin(θ)cos(θ) to simplify sin 17°cos 17° as follows:

sin 17°cos 17° = (1/2)sin(2(17°)) = (1/2)sin 34°

Therefore, we can express sin 17°cos 17° in terms of p as:

sin 17°cos 17° = (1/2)sin 34° = (1/2)p

So the value of sin 17°cos 17° in terms of p is (1/2)p.

Answer:

A

Step-by-step explanation:

Here is ur answer

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Given:

The radius of the cylinder = r = 4 cm

Height of the cylinder = h = 7 cm

The volume of the cylinder is given by the formula:

Using π = 3.14

so, the volume of the cylinder will be:

so, the answer will be Volume of the cylinder = 351.68

Answer:

7/5

Step-by-step explanation:

rewrite as an equation ..

3 4/5 \ x = 2 5/7

times x to both sides

2 5/7x= 3 4/5

divide 2 5/7 from both sides

x=7/5

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

The graph of y = x^2 should be translated by 1 unit to the right and 3 units up.

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

Therefore, we have the following:

f(x) = x^2

g(x) = f(x - 1) + N

g(x) = (x - 1)^2 + 3

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If a consumer demanded 10 Kg of potatoes when its price is Nu 20 per Kg. When the price of potatoes rises by 5 %. its price elasticity is -6.

First let's calculate the percentage change in quantity demanded:

Percentage Change in Quantity Demanded = (Change in Quantity Demanded / Initial Quantity Demanded) * 100%

Percentage Change in Quantity Demanded = (-15 / 10) * 100% = -150%

Next let's calculate the percentage change in price:

Percentage Change in Price = (5 / 20) * 100% = 25%

Now we can calculate the price elasticity of demand:

Price Elasticity of Demand = (-150% / 25%) = -6

Therefore the  price elasticity of demand in this scenario is  negative indicating that the demand for potatoes is elastic.

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We can solve this using the formula below:

where

A is the area

a and b are the base

h is the height

From the figure given,

a= 2

b = 5 2/3

h=4 1/3

substitute the values into the formula