Find the mean, median and mode of the following grouped data: Class Intervals Frequency f 0-10 4 10-20 6 20-30 9 30-40 7 40-50 4

Answer:

i would not rlly know what my growth factor is actually

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2\(\frac{1}{2}\) = \(\frac{5}{2}\), (5/2) / (1/4) = 10

refer the attachment for your answer !!

Ans? u9999y

Step-by-step explanation:

Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.

Step 1:

Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.

Step 2:

Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.

Step 3:

Combine like terms: (18 + 24) squared = 30 squared.

Step 4:

Evaluate each side: 1764 not-equals 900.

Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?

The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

Answer:

h = 14.5 ft

Step-by-step explanation:

Apply trigonometric ratio formula to find h:

reference angle = 46°

Opposite side = h

Adjacent side = 14 ft

Thus:

Tan 46 = h/14

Multiply both sides by 14

14*tan 46 = h

h = 14.4974243

h = 14.5 (nearest tenth)

Answer:

x=15

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

The legs and x and 20 and the hypotenuse is 25

20 ^2+x^2 = 25^2

400 + x^2 = 625

Subtract 400 from each side

x^2 = 625-400

x^2 = 225

Take the square root of each side

sqrt(x^2) = sqrt(225)

x = 15

Answer:

I can help you for free if you want!

Step-by-step explanation:

I'm in 11th grade, so I know most 7th-grade math things.

Answer:

the red is longer

Step-by-step explanation:

Answer:

3.5 hours

Step-by-step explanation:

2*77/44=154/44=3.5 hours

a) The probability of picking S and S is 1/64

b) The probability of picking D and T is 1/64

c) The probability of picking S and T is 1/64

d) The probability of picking a vowel and a consonant is 3/16.

The word STUDENTS contains 8 letters. Each time we pick a letter from the bag, we replace it back, so the total number of outcomes for the first letter and the second letter is 8.

a) To find the probability of picking S and S, we can multiply the probability of picking S in the first draw (1/8) by the probability of picking S in the second draw (1/8), since we replace the letter after each draw:

P(S,S) = (1/8) x (1/8) = 1/64

b) To find the probability of picking D and T, we can multiply the probability of picking D in the first draw (1/8) by the probability of picking T in the second draw (1/8):

P(D,T) = (1/8) x (1/8) = 1/64

c) To find the probability of picking S and T, we can multiply the probability of picking S in the first draw (1/8) by the probability of picking T in the second draw (1/8):

P(S,T) = (1/8) x (1/8) = 1/64

d) To find the probability of picking a vowel and a consonant, we need to count the number of vowels and consonants in the word STUDENTS. There are 2 vowels (U and E) and 6 consonants (S, T, D, N). The probability of picking a vowel is 2/8 = 1/4, and the probability of picking a consonant is 6/8 = 3/4.

Since we replace the letter after each draw, the probability of picking a vowel and a consonant is:

P(vowel, consonant) = (1/4) x (3/4) = 3/16

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Answer:

Average rate of change between x = 3 to x = 5 is 0.

Step-by-step explanation:

Given quadratic function s passing through two points (3, 0) and (5, 0).

Average rate of change of a function between x = a and x = b is given by,

Average rate of change = \(\frac{f(b)-f(a)}{b-a}\)

From the graph attached,

Average rate of change between x = 3 to x = 5 will be,

= \(\frac{f(5)-f(3)}{5-3}\)

= \(\frac{0-0}{5-3}\)

= 0

Therefore, average rate of change between x = 3 to x = 5 is 0.

Answer: The average rate of change for the given graph from x=3 to x=5 is 0

Answer:

mn

Step-by-step explanation:

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Answer:

Step-by-step explanation:

sin36=h/75

h=75sin36

h=44.08ft

The claim that the population mean is less than 125 (Option E) would

the interval tends to refute.

The 90% confidence interval for the population mean is 135 to 160. This means that if we were to repeat the process of taking samples from the same population and constructing a 90% confidence interval, we would expect 90% of the intervals to contain the true population mean.

With this in mind, let's consider each claim:

A. The interval does not rule out the possibility that the population mean is more than 110, as 110 is less than the lower bound of the interval.

B. The interval does not rule out the possibility that the population mean is less than 150, as 150 is greater than the upper bound of the interval.

C. The interval does not rule out the possibility that the population mean is between 140 and 150, as both of these values fall within the interval.

D. The interval does not rule out the possibility that the population mean is more than 140, as 140 is less than the upper bound of the interval.

E. The interval refutes the claim that the population mean is less than 125, as 125 is less than the lower bound of the interval.

Therefore, the answer is (E) The population mean is less than than 125.

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The expected number of defective toys when 2 toys are selected at random is 0.077 (rounded to three decimal places).

To find the expected number of defective toys when 2 toys are selected at random, we first need to find the probability of selecting a defective toy on each pick.

On the first pick, the probability of selecting a defective toy is 4/13 since there are 4 defective toys out of 13 total. On the second pick, the probability of selecting a defective toy depends on whether or not a defective toy was selected on the first pick.

If a defective toy was selected on the first pick, then there are only 3 defective toys left out of 12 total toys remaining. So the probability of selecting a defective toy on the second pick would be 3/12 or 1/4.

If a non-defective toy was selected on the first pick, then there are still 4 defective toys left out of 12 total toys remaining. So the probability of selecting a defective toy on the second pick would be 4/12 or 1/3.

To find the expected number of defective toys, we need to multiply the probabilities of each scenario and add them together:

Expected number of defective toys = (4/13 x 3/12) + ((9/13) x 4/12)

Simplifying this equation gives us:

Expected number of defective toys = 1/13

Therefore, the expected number of defective toys when 2 toys are selected at random is 0.077 (rounded to three decimal places).

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Answer:

is 16/25x

Step-by-step explanation:

i took the k12 test

The graph of the given functions is (see in attachments).

From the question, we have

g(x) = 0.44√3.2x−4.1

Graph:

A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.

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Answer:

6 days

Step-by-step explanation:

No. of students | No. of days

10                       | 9

15                       | \(\frac{10}{15}\) × 9 = 6

Since the number of students and the number of days is inversely proportionate (when one increases by a certain extent, the other decreases by the same extent), we can calculate the number of days by multiplying the number of days by the fraction of the number of students proportionate to the number of days and the number of students you want to find the number of days for.

It would take 6 days.

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

The equation of g(x), after the translations, is given as follows:

g(x) = x² + 8x + 14.

There are four translation rules that can be applied to a function, and they are listed as follows:

The parent function for this problem is given as follows:

f(x) = x².

The translations, along with their effects, are given as follows:

Hence the function g(x) is defined as follows:

g(x) = (x + 4)² - 2

g(x) = x² + 8x + 16 - 2

g(x) = x² + 8x + 14.

Which is in the standard form as is desired for this problem.

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One of the sections represents 6/7 of the original garden, and the other section represents 1 - 6/7 = 1/7 of the original garden.

Anna plants peas in 4/7 of her garden and herbs in 2/7 of it. The remaining part of the garden is 1 - (4/7 + 2/7) = 1/7. Anna divides this remaining part of the garden into 2 sections. We need to find the fraction of the original garden that each of these 2 sections represents.

To do this, we can first find the fraction of the original garden that one of the sections represents and then subtract it from 1 to find the fraction of the other section. Let's call the fraction of the original garden that one of the sections represents x. Then, we know that the other section represents 1 - x.

We can set up an equation to solve for x:

1/7 = x + (1 - x)

Simplifying this equation, we get:

1/7 = 1 - x

x = 1 - 1/7

x = 6/7

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Answer:

35

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

3 + 2(13 - 17)²

Step 2: Parenthesis subtraction

3 + 2(-4)²

Step 3: Exponent

3 + 2(16)

Step 4: Parenthesis multiplication

3 + 32

Step 5: Add

35

The absolute value function that matches the graph is given as follows:

y = |x|

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The vertex of the function in this problem is at the origin, hence:

(h,k) = (0,0).

The leading coefficient is of a = 1, as when x = 1, y = 1.

Hence the absolute value function that matches the graph is given as follows:

y = |x|

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The fraction equivalent to 1/4 is 2/8.

To find fractions that are equivalent to 1/4, we need to identify fractions with the same value but different numerators and denominators. Let's examine the given options:

a) 2/5: This fraction is not equivalent to 1/4 since the numerator is different.

b) 2/8: This fraction is equivalent to 1/4. By simplifying 2/8, we can divide both the numerator and denominator by 2 to get 1/4.

c) 3/12: This fraction is not equivalent to 1/4 since the numerator and denominator are different.

d) 2/8: This fraction is equivalent to 1/4. Just like in option b, simplifying 2/8 gives us 1/4.

Therefore, both options b) and d) are equivalent fractions to 1/4. The fraction 2/8 is the correct answer, representing the same value as 1/4 but with different numerators and denominators.

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Answer:

Step-by-step explanation:

is it that 1 bird is at the nest and the other is flying away ?

Answer:

A = 2 1/2 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 3 * 5/6

A = 5/2 ft^2

A = 2 1/2 ft^2

Answer:

A=2.5 ft^2

Step-by-step explanation:

A=3

A=3(5/6)

A=2.5 ft^2

Answer:

First we must learn to dissect a question.

Part 1

We can list our facts first:

She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons

\(6.5 \times 1.5 = 9.75 \: teaspoons\)

She needs 9.75 teaspoons and 3 teaspoons make a tablespoon

So..

\(9.75 \div 3 = 3 r0.75= 3tbsp \: and \: 0.75tsp\)

Equation Form:

w x 2 \(\geq\) 19

Divide both sides by 2:

w \(\geq\) 9.5

So, w must be equal to or greater than 9.5 for this equation to work.

Answer:

19.25(miles?)

Step-by-step explanation:

Assuming 3.5 is the x value or input of the function

3.5 x 5.5 = 19.25