All of the following are examples of quantitative data EXCEPT ________.

a. the amount of sleep normally gotten by the students in a class
b. the number of siblings that students have
c. the cholesterol levels of the students in a class
d. the exam scores for the students in a class
d. the gender of the students in a class

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Use the definition of absolute value.

\(|x| = \begin{cases} x & \text{if } x \ge0 \\ -x & \text{if } x < 0 \end{cases}\)

The absolute value is always non-negative. So if \(x\) is already non-negative, \(|x|=x\) is unchanged. But if \(x\) is negative, then \(|x|=-x\) because multiplying \(x\) by -1 makes it positive.

Now, if \(x>1\), then by the definition of absolute value,

\(x > 1 \implies x - 1 > 0 \implies \boxed{|x - 1| = x - 1}\)

Answer: 268 hamburgers

The SSS congruency example is provided in the main body.

What is SSS Similarity Criterion for Triangles?

The SSS criterion for triangle similarity states that if 3 sides of 1 triangle are proportional to 3 sides of another triangle, then the triangles aer similar.

Main body:

Only 2 pairs of sides and a pair of non-included angles square measure given. you cannot say these triangles square measure similar by independent agency, as a result of that's not a criterion for triangle similarity. However, as a result of these square measure right triangles, you recognize that the third aspect of every triangle are often found with the pythagorean Theorem.

                                        x² = 2025-1296

                                        x = 27

                                           x² = 225 - 144

                                           x = 9

All three pairs of sides are proportional with a ratio of 3. Therefore, the triangles are similar due to SSS.

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Answer:

b) - 11

Step-by-step explanation:

The two triangles ΔJKL and ΔGHK are similar since
LK = 2LH
JK = 2JK

(ratios of sides are same)

and the included angle ∠K is common to both triangles

So the sides are in the ratio 2:1 for larger to smaller triangle. Each side of the larger triangle is twice the length of the corresponding side of the smaller triangle

This means the ratio of side JL of the larger triangle ΔJKL must be twice the length of side GH of the smaller triangle ΔGHK

i.e.
JL = 2 x GH

We are given these sides as expressions in x
∴ x + 27 = 2(2x + 30)

x + 27 = 4x + 60

Subtract 4x from both sides:
x - 4x + 27 = 4x - 4x + 60

-3x + 27 = 60

Subtract 27 from both sides-3x = 60 - 27 = 33

==> 1

- 3x = 33

Divide by -3 both sides

-3x/-3 = 33/-3 = -11

x = -11

Answer b)

Do not be confused by the fact that x is negative. Many students get confused because they associate x as a length. x is just a variable used in the equations

The actual lengths will be positive
GH = 8 and JL = 16

You can work it out yourself

Answer:

Approximately 3.81 seconds

Step-by-step explanation:

d = 3t + 5t²

d = 84

84 = 3t + 5t²

3t + 5t² - 84 = 0

5t² + 3t - 84 = 0

5(t² + 3/5t - 84/5) = 0

5(((t + 3/10)² - 9/100) - 84/5) = 0

5((t + 3/10)² - 9/100 - 84/5) = 0

5((t + 3/10)² - 9/100 - 1680/100) = 0

5((t + 3/10)² - 1689/100) = 0

5(t + 3/10)² - 1689/20 = 0

5(t + 3/10)² = 1689/20

(t + 3/10)² = 1689/100

t + 3/10 = ±√(1689)/10

t = -3/10 ± √(1689)/10

t = -3/10 ± ≈41.1/10

t = -3/10 ± ≈4.11

t ≈ -0.3 ± 4.11

t [can only be positive] ≈ 4.11 - 0.3

t ≈ 3.81

Answer:

∠A=125° and ∠B=35°

Step-by-step explanation:

We know that, by angle sum property of triangles,

∠A +∠B+∠C=180°

⇒​ (6x−1)° ​+20°  +(x + 14)°=180°

⇒​ 6x−1 ​+20 +x + 14=180 [Open parenthesis]

⇒7x+33=180

⇒7x=180-33  [Subtracting 33  from both sides]

⇒7x=147  

⇒x=21  [Divide 7 from both sides]

Now substitute value of x in the expressions of ∠A and ∠B.

Therefore, ∠A=(6(21)-1)°=(126-1)°=125°

∠B=(21+14)°=35°

\(~\hspace{7em}\textit{rational exponents} \\\\ ~\hspace{7em}a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( x^2y^8 \right)^{\frac{2}{3}}\implies \left(x^{2\cdot \frac{2}{3}}y^{8\cdot \frac{2}{3}} \right)\implies x^{\frac{4}{3}}y^{\frac{16}{3}}\implies \sqrt[3]{x^4}\sqrt[3]{y^{16}}\implies \sqrt[3]{x^4y^{16}} \\\\\\ \sqrt[3]{x^{3+1}y^{3+3+3+3+3+1}}\implies \sqrt[3]{x^3xy^3y^3y^3y^3y^3y} \\\\\\ xyyyyy\sqrt[3]{xy}\implies xy^5\sqrt[3]{xy}\)

Answer:

Step-by-step explanation:

Point slope formula y - y1 = m( x - x1)

y - 3 = -4(x - 2)

y - 3 = -4x + 8

y = -4x + 11

check

(2,3)

Y = -4x + 11

3 = -4(2) + 11

3 = -8 + 11

3 = 3

Standard form 4x + y = 11

Answer:

The slope is -4

The y-int is -5

Step-by-step explanation:

The slope intercept form is structured as:

y= mx + b

Being m is the slope and b is the y-intercept.

(a) The shape of sampling distribution is not too close to 0 or 1 (b) The mean of standard deviation = 0.033

(c) \(P(Z > (P-P + 0.03) / 0.033) = P(Z > 0.91)\)

(a) The sampling distribution of p-p is approximately normal by the Central Limit Theorem because both sample sizes are large enough (n₁ = n₂ = 240) and the sample proportions of orange candies are not too close to 0 or 1.

(b) The mean of the sampling distribution of p-p is equal to the difference between the population proportions, which is 0.20 - 0.23 = -0.03. The standard deviation of the sampling distribution of p-p is given by:

sqrt[(p₁q₁/n₁) + (p₂q₂/n₂)]

= sqrt[(0.200.80/240) + (0.230.77/240)]

= 0.033

The standard deviation represents the amount of variation we expect to see in the differences between sample proportions of orange candies from multiple random samples of the same size.

(c) To find P(P-P>0), we need to standardize the difference between the sample proportions and the population difference and then find the probability that the standardized difference is greater than 0. That is:

(P-P - (p₁ - p₂)) / sqrt[(p₁q₁/n₁) + (p₂q₂/n₂)]

= (P-P - (-0.03)) / 0.033

= (P-P + 0.03) / 0.033

Using a standard normal distribution table or calculator, we can find the probability that a standard normal variable is greater than this value. For example, if we use a calculator, we get:

P(Z > (P-P + 0.03) / 0.033) = P(Z > 0.91)

where Z is a standard normal variable. The probability is approximately 0.18. This means that if we take many random samples of 240 M&M's milk chocolate candies and 240 peanut M&M's and calculate the difference between the sample proportions of orange candies, about 18% of the time we would expect to see a difference of 0.03 or greater (favoring M&M's milk chocolate candies).

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The missing step in this proof is option A. ∠ABC ≅ ∠DBE

In order to bring about the SAS similarity criterion, the angle between the proportional sides should be congruent in the two triangles. Thus, the said angle is the same angle (angle B) in both triangles, which is reason for citing the reflexive property. It showcases ∠B ≅ ∠B.

Therefore, the answer choice showcasing angle B is option A. ∠ABC ≅ ∠DBE

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The complete question goes thus:

what is the missing step in this proof GIVEN: ABC with AD/DB= CB/BB PROVE: DE||AC

1. AD:DB = CE:EB Given

2. AD:DB+1 = CE:EB+1 Addition Property of Equality

3. (AD+DB)/DB = (CE+EB)/EB Using common denominators

4. AB = AD+ DB and CB = CE +EB segment addition

5. AB:DB = CB:EB Substitution property of equality

6. [Fill in missing statement from choices below] Reflexive property of congruence

7. ΔABC ~ ΔDBE SAS similarity criterion

8. ∠BAC ≅ ∠BDE Corresponding angles of similar triangles are congruent.

9. DE||AC If the corresponding angles formed by two lines cut by a transversal are congruent, then the lines are parallel.

What is the missing step in this proof?

A. ∠ABC ≅ ∠DBE

B. ∠BCA ≅ ∠BDE

C. ∠ACB ≅ ∠DEB

D. ∠BDE ≅ ∠ADE

E. ∠CAB ≅ ∠DAC

Based on the parameters in the question, the value of probability P(A) is 0.60

The given parameters from the tree diagram are:

The probability is calculated using the following probability formula

P(A) = P(A and D) + P(A and C)

Substitute the known values in the above equation

P(A) = 0.6 * 0.7 + 0.6 * 0.3

Evaluate the products

P(A) = 0.42 + 0.18

Evaluate the sum

P(A) = 0.60

Hence, the value of the probability of A is 0.60

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Answer:the second one

Step-by-step explanation:

Answer:

Since 2√7 = 5.29, move the circle over to the third dash after the five.

Step-by-step explanation:

Since 2√7 = 5.29, move the circle over to the third dash after the five.

The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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Answer: 12 x 7 = 72

Step-by-step explanation:

Answer:

Square root of 193

Step-by-step explanation:

7^2+12^2=x^2

Switch sides: x^2=7^2+12^2

After everything is squared: x^2=49+144

x^2=193 OR x=\sqrt{193}

Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

y = 2x + 10

Step-by-step explanation:

Remember, slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

To write the equation in slope-intercept form, we can just solve the equation for slope-intercept form.

y - 4 = 2(x + 3)

Distribute the 2 on the right side.

y - 4 = 2x + 6

Add 4 to both sides.

y = 2x + 10

Notice, now we have the equation in slope-intercept form.

I hope this helps. Happy studying.

Answer:

60

Step-by-step explanation:

they each have 3 boxes, so you can multiply 3 by 2 to get 6. if each box has 10 crayons, then multiply 6 by 10 to get 60.

The total number of crayons that Alex and Annie have in all will be 30 crayons.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Alex and Annie each have 3 boxes of crayons. Each box has 10 crayons. Then the total number of crayons is given as,

Total = 3 x 10

Total = 30

The total number of crayons that Alex and Annie have in all will be 30 crayons.

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91

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

B)

the measure of the angles is 90 since the figure was rotated 90 degrees at the beginning and we are looking at the angle that is formed between a point, the center and the rotated point

Answer:

\(41\frac{1}{8}\)

bro i read it wrong that's my bad hold on ill get the right one rq

Answer:

sorry I don't have a couple about this thing but

Step-by-step explanation:

u can subtract with the same units so. 2mi-581yd it asks separately but u can change the mile for more use unit converter

Answer:

If I'm correct it is 1 mile and 1,179 yards

Step-by-step explanation:

I converted the miles into yards and added the extra yards(5618-2679), subtracted them (2939), then converted my answer back to miles.

I hope this helps and have a great day! :)

Answer:

Brainleist :)

Step-by-step explanation:

120 dollars for 4 hours of labor

120/4 dollars for 1 hour of labor

B) 30 dollars for 1 hour of labor

answe:

B) 30 dollars for 1 hour of labor

Step-by-step explanation:

120 dollars for 4 hours of labor

120/4 dollars for 1 hour of labor

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Question Completion

PIE CHART NUMBERS:

Answer:

0.000063

Step-by-step explanation:

Number of Respondents, n=1400

Probability that they would rate their financial shape as​ excellent = 0.09

Number of Those who would rate their financial shape as excellent

=0.09 X 1400

=126

Therefore:

The probability that 4 people chosen at random would rate their financial shape as​ excellent

\(=\dfrac{^{126}C_4 \times ^{1400-126}C_0}{^{1400}C_4} \\=\dfrac{^{126}C_4 \times ^{1274}C_0}{^{1400}C_4}\\=0.000063 $(correct to 6 decimal places)\)