5. The missing number in the following figure is
5
9
8
7
13
4
8.
5
4 9
4
3
3
3
(a)12
(b) 14
(C) 15
(d) 18​

The percentage of sugar in the drink is 64%

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

The data given are;

The percentage of sugar in the carbohydrate can be calculated as;

Percentage = (16 / 25) * 100

Percentage = 0.64 * 100

Percentage = 64%

The percentage of sugar is 64%

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Answer:

17 ft.

Step-by-step explanation:

Because 17x25=425

And 25-8=17

Answer:

3.14

Step-by-step explanation:

Given that:

Mean weight (m) = 79 ounces

Population standard deviation (s) = 13.1

Sample size = 47

Maximal margin of error associated with 90% confidence interval.

The margin of error is given by:

Zcritical * (standard deviation / sqrt(sample size)

Z critical at 90% confidence interval = 1.645

Hence,

Zcritical * (standard deviation / sqrt(sample size)

1.645 * 13.1 / sqrt(47)

1.645 * (13.1 / 6.8556546)

1.645 * 1.9108313

Hence, the margin of error is :

3.1433174885

= 3.14

The mode is 2.

The mode is the value that appears often in a set of data values.

The mode is a way of expressing, in a single number, important details about a random variable. The numerical value of the model is the alike as that of the mean and median in a normal distribution, and it may be very different in highly skewed distributions.

Given Data :

84, 87,84,88,85,90,91

First, arranging the data in ascending order :

84, 84, 85, 87, 88, 90,91

Now, we have to find how many times this number occurs :

⇒ 84 occurs 2 times

⇒ 85 occurs 1 time

⇒ 87 occurs 1 time

⇒ 88 occurs 1 time

⇒ 90 occurs 1 time

⇒ 91 occurs 1 time

So, the mode is 2.

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Answer:  0.4016

Step-by-step explanation:

Let x be a random variable that represents the height of women in a country.

Mean : \(\mu=64.3\) inches

Sample size : n= 65

Standard deviation: \(\sigma=2.81\)

The probability that the mean height for the sample is greater than 65 inches = \(P(x>65)=1-P(x<65)\)

\(=1-P(\dfrac{x-\mu}{\sigma}<\dfrac{65-64.3}{2.81})\\\\= 1-P(z<0.2491)\\\\=1-0.5984\ \ \ \text{[By p-value table]}\\\\=0.4016\)

Hence, the probability that the mean height for the sample is greater than 65 inches = 0.4016

Answer:

Y=2

Step-by-step explanation:

9x - 4 y = 18

By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Answer:

Her change from $50 was $3

Step-by-step explanation:

25 + 16 = 41

There are 2 pairs of socks so that is $4

41 + 4 = 45

45 + 2 = 47

50 - 47 = 3

Therefore the answer is $3

Answer:

her change was $3  

Step-by-step explanation:

$25 + $16 + $4 + $2 = $47

$50 - $47 = $3

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

To fold and tape a net into a solid shape, cut out the net, fold it along the lines, tape the edges together, and flatten the edges

The net cannot be fold and tape as it is given as a picture, however the general steps to fold and tape a net into a solid shape:

When the above stapes are followed, some of the nets that can be gotten from the given shape are triangular pyramids and triangles

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Answer: The first step is to Distribute

Hope this helps

The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

(2w - 1) / 5 + w + 2 = 2w

Simplify the equation, then we have

(2w - 1) / 5 + w + 2 = 2w

(2w - 1) / 5 = w - 2

2w - 1 = 5w - 10

3w = 9

w = 3

The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.

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The complete question is given below.

Answer:

18.

Step-by-step explanation:

We know that the formula to find the height of a trapezoid is: ((a+b)/2)*h.

Using this, we'll get: 18, which is your answer. You can plug in the numbers if you want to confirm this.

Please give brainliest, thank you :)

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

We conclude that -8 > -9 is the correct option.

Step-by-step explanation:

Let us compare the given inequalities.

5 < 4

FALSE!

Reason: 5 can not be less than 4. In other words, 4 is less than 5.

-5 > -4

FALSE!

-5 can not be greater than -4. In other words, -4 is greater than -5.

-8 > -9

TRUE!

-8 is indeed greater than -9.

-8 > 5

FALSE!

-8 can not be greater than 5. In other words, -8 is less than 5.

Conclusion:

Therefore, we conclude that -8 > -9 is the correct option.

Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

The overall percentage increase in the account balance from the initial deposit at the end of 10 years is $786.25 which is 87.36%.

What is compound interest?

The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate is raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.

When the amount compounds quarterly, it means that the amount compounds 4 times in a year. i.e., n = 4. We use this fact to derive the quarterly compound interest formula. Thus, the quarterly compound interest formula is:

A = P (1 + r/4)4t

Nicolas deposited $900 into an account that pays 6.48% annual interest compounded annually.

The balance in the account after 10 years was $1686.25.

INCREMENT in 10 years is 1686.25-900 = $786.25

So the percentage increment will be 900-786.25/ 900 = 87.36%

Hence, the overall percentage increase in the account balance from the initial deposit at the end of 10 years is $786.25 which is 87.36%.

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Hi there! :)

Answer:

\(\huge\boxed{15.87kg}\)

To solve, simply set up a proportion. Let "x" represent the mass of a 95 kg person on the moon:

\(\frac{14.2kg}{85kg} = \frac{x}{95kg}\)

Cross multiply:

\(14.2 * 95 = 85 * x\)

\(1349 = 85x\)

Divide both sides by 85:

\(1349/85 = 85x/85\)

\(x = 15.87 kg\)

Answer:

15kg

Step-by-step explanation:

85/14.2=5.98

95/6=15

Answer:

x = - 3 / 2 ( in decimal form = - 1.5)

Step-by-step explanation:

9(x - 1) - 8x = -3(x + 5)

left side: 9(x - 1) - 8x

Expand... 9x - 9 - 8x

             = (9x - 8x) - 9

             = 1x - 9 or x - 9

right side: -3(x + 5)

Expand... -3x - 15

combine :

x - 9 = -3x - 15

Add 9 to both sides to get x alone

x - 9 + 9 = -3x - 15 + 9

x = -3x - 15 + 9

x = -3x - 6

Add 3x to both sides

x + 3x  = -3x - 6 + 3x

simplified, 4x = -6

Now divided 4 from both sides

4x / 4 = -6 / 4

simplify, x = -6 / 4

You can reduce the fraction by dividing it by 2

(-6 / 2) / (4 / 2) = -3 / 2

Hope this helps, Let me know if you have any questions !

Have a nice day :)

The interval where function f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

We have,

The function f(x) crosses the x-axis at (-3, 0), (-1.1, 0), and (0.9, 0), it means that f(x) is negative for x values less than -3, between -1.1 and 0.9, and greater than 0.

Therefore, we can say that:

f(x) < 0 for x < -3 and -1.1 < x < 0.9

And,

The function f(x) has a minimum value of (0, -3) and a maximum value of (-2.4, 17).

This means that f(x) is positive for x values greater than -2.4. Therefore, we can say that:

f(x) > 0 for x > -2.4

Now,

Combining these inequalities, we can say that f(x) is negative over the intervals (-∞, -3) and (-1.1, 0.9), and positive over the interval (-2.4, ∞).

So,

The interval where f(x) is negative and greater than 0 is:

(-∞, -3) U (-1.1, 0)

Thus,

The interval where f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

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Answer:

7.9467 x 10^6

Step-by-step explanation:

Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.

To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:

n = (Z * σ / E)^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.

n = (2.807 * σ / 1.5)^2

Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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Answer:

A

Step-by-step explanation:

In order to multiply a whole number by a fraction, you can write the whole number in fraction form. -12 can also be written as    \(\frac{-12}{1}\).

Now you can write out    \(\frac{-12}{1}\)  ×  \(\frac{20}{21}\)  

Multiply the numerators by each other and the denominators by each other to create one fraction.

-12 × 20 = -240     and 1 × 21 = 21

  \(\frac{-12}{1}\)  × \(\frac{20}{12}\)   = \(\frac{-240}{21}\)      and now you can simplify the fraction by finding the greatest common factor of the denominator and numerator.   -240 and 21 have the greatest common factor of 3. Divide each side by 3 and get the fraction -80/7

Answer:

x ≈ 30,37

y ≈ 29,00

Step-by-step explanation:

Use trigonometry:

\( \sin(38°) = \frac{9}{x} \)

Now, use the property of the proportion to find x:

\(x = \frac{9}{ \sin(38°) } ≈30.37\)

Do the same thing to find y:

\( \tan(38°) = \frac{9}{y} \)

\(y = \frac{9}{ \tan(38°) } ≈29.00\)

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

Answer:

x > 16

Step-by-step explanation:

3/4x > 12

3x > 48

x > 16

hope this helps

Answer:

The third angle measures 66°

Step-by-step explanation:

If we look at the properties of triangles, we will know that all triangles have angles that, when added together, equal 180 degrees. Because we already know the measurement of two of the angles, all we have to do is add them up and subtract the sum by 180.

57+57=114

180-114=66

We got 66 as the measure of the last angle. Now, to make sure we have the right answer, we are going to check our work. We do this by adding together all of the angle measurements. If they all add up to 180, then we know we have the correct answer.

57+57+66=180

We were correct! Now we have the measurements of all three of the triangle's angles. Great job!

I hope this is easy to understand. Please let me know if you need any more help. Have a great morning!