You scored 80 points on your first math test. On the next test you scored 96 points. What is the percent increase?

Members of Alachua District Choir were asked, when given the choice between Romanticism or Gothic

zalisa [80]

Answer:

$\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}$

Step-by-step explanation:

Given

Romanticism

$Male = 48$

$Female = 59$

Gothic

$Male = 63$

$Female = 62$

Required

Complete the table <em>(See attachment for complete question)</em>

The table can be represented as:

$\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}$

The "total" column represents the number of males and female sampled, respectively.

$Male = 48 + 63 = 111$

$Female = 59 + 62 = 121$

The "total" row represents the number of Romanticism and Gothic sampled, respectively.

$Romanticism = 48 + 59 = 107$

$Gothic = 63 + 62 = 125$

The overall sample is calculated by adding up the number of males and females or the number of Romanticism and Gothic

$Overall = Male + Female$

$Overall = 111 + 121 = 232$

or

$Overall = Romanticism + Gothic$

$Overall = 107 + 125 = 232$

7 0

3 years ago

A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for full c

ehidna [41]

Answer:

y = 5.5x – 17

Step-by-step explanation:

Slope (m) = ΔY/ΔX=11/2 =5.5

When x=0, y = -17

4 0

2 years ago

The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is paral

Vikki [24]

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.

<h3>What are vertical angles?</h3>

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.

Hence, the correct option is A.

Learn more about Vertical Angles:

brainly.com/question/24460838

#SPJ1

6 0

2 years ago

One of the roots of the equation x²-5x +q=0 is 2. Find the other root and the value of the coefficient q.

yuradex [85]

Answer:

Other root: $x=3$

$q=6$

Step-by-step explanation:

If $x=2$ , then $x-2=0$ .

Therefore:

$x^2-5x+q=0$

$2^2-5(2)+q=0$

$4-10+q=0$

$-6+q=0$

$q=6$

This means that the other root is $x=3$ since $(x-2)(x-3)=x^2-5x+6$

5 0

2 years ago

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to mo

den301095 [7]

This question is incomplete, the complete question;

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 193 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 11 13 22 11 15 29 15 9 13 15 22 18

Step 10 of 10 : State the conclusion of the hypothesis test at the 0.1 level of significance.

Answer: H₀ : The distribution of fatal accidents between each month is same

Step-by-step explanation:

H₀ : The distribution of fatal accidents between each month is same

H₁ : The distribution of fatal accidents between each month is different

Let the los be alpha 0.10

given data ;

Observed Expected

Mon Freq (Oi) Freq Ei (Oi-Ei)^2 /Ei

Jan 11 16.0833 1.606649

Feb 13 16.0833 0.591105

Mar 22 16.0833 2.176598

Apr 11 16.0833 1.606649

May 15 16.0833 0.072971

Jun 29 16.0833 10.373489

Jul 15 16.0833 0.072971

Aug 9 16.0833 3.119603

Sep 13 16.0833 0.591105

Oct 15 16.0833 0.072971

Nov 22 16.0833 2.176598

Dec 18 16.0833 0.228411

Total: 193 93 22.689119

Expected Freq ⇒ 193 / 12 = 16.08333

Test Statistic, x² : 22.6891

Num Categories: 12

Degrees of freedom: 12 - 1 = 11

Critical value X² : 24.725

P-Value: 0.0195

since Chi-square value < Chi-square critical value

and P-value > alpha 0.01 so we accept H₀

Therefore we conclude that the distribution of fatal accidents between each month is same

7 0

3 years ago