The sum

of a negative

and positive

integer is

negative?

Answer:

9x - 2x + 62 = 9x + 24

Number of correct answer each obtained = 19

Step-by-step explanation:

Given that:

Number of correct answers = x

POINTS for correct answers = 9

POINTS for incorrect answers = - 2

SCHOOL A:

Number of correct answers = x

Number of incorrect answers = x

Initial point = 62

Initial point + 9(number of correct answers) + - 2(number of incorrect answers)

62 + 9x - 2x

SCHOOL B :

Number of correct answers = x

Number of incorrect answers = 0

Initial point = 24

Initial point + 9(number of correct answers) + - 2(number of incorrect answers

24 + 9x

Since they end up tied :

School A = School B

62 + 9x - 2x = 24 + 9x

9x - 2x + 62 = 9x + 24

Number of correct answers gotten :

9x - 2x + 62 = 9x + 24

7x + 62 = 9x + 24

7x - 9x = 24 - 62

-2x = - 38

x = 19

Hence, Number of correct answers each obtained = 19

Answer:

N = M + 10/3P

Step-by-step explanation:

Answer:

10% of $50.00 is $5.00 SO ORGINAL PRICE IS $55.00

Step-by-step explanation:

50÷10=5

5 00+50.00= $55.00

The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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Answer:

8

Step-by-step explanation:

that's a six tickets for $48 there for F1 tickets we don't know the price of each ticket...divide 48/6

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.

We will see that it is the equation of the ellipse.

Now let's see why that is the correct answer.

The general conic equation is of the form:

\(A*(x - a)^2 + B*(x - b)^2 = R^2\)

Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.

For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.

If we write:

A = 1/C

B = 1/K

(both are positive, because "it has two squares with the same signs").

Then we get the equation:

\(\frac{ (x - a)^2}{C} + \frac{(x - b)^2}{K} = R^2\)

We get the equation we wanted.

The same sign in both square parts and different leading coefficients.

The above equation is the general equation of an ellipse.

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Answer:

h=46

Step-by-step explanation:

Add 18 to both sides

When solving a linear system of equations, you are looking for the points of intersection between the equations

From the question, we have the following parameters that can be used in our computation:

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

Answer:

C=20

Step-by-step explanation:

1. 25÷5=5

2. 5×4=20

I hope this helped☺

\(-4.46(j + 19)= -8.92\)

Distribute:

\((-4.46)(j)+(-4.46)(19)=-8.92\)

\(-4.46j-84.74=-8.92\)

Add 84.74 to both sides:

\(-4.46j-84.74+84.74=-8.92+84.74\)

\(-4.46j=75.82\)

Divide both sides by -4.46:

\(\dfrac{-4.46j}{-4.46} =\dfrac{75.82}{-4.46}\)

\(=\fbox{j = -17}\)

Answer:

480 square inches

Step-by-step explanation:

width = base = 24 inches

length = height = 40 inches

area of the triangular scarf = 1/2 * base * height

= 1/2 * 24 * 40

= 480 square inches

Answer:

8 and 3

Step-by-step explanation:

8+3=11

8-3= 5

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

\(P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\)

            \(=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183\)

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

640 feet

Step-by-step explanation:

8 = 320  

16 = 640

Answer:

640

Step-by-step explanation:

8:320

16: ?

8*2=16

320*2=640

Answer:

Promoting a bank requires convincing consumers to trust a bank with their money and make customers feel like they are getting the most value for their money. Once customers invest with a bank, the bank must work to keep customers and get them to buy-in to additional products.

Step-by-step explanation:

Answer:

Mostly loans, fixing customer's financial situations, and helping achieve a good credit score

Step-by-step explanation:

Answer:

x = 5q - 15

Step-by-step explanation:

\(\frac{7}{7q+21}=\frac{x}{5q^{2}-45}\\\\\frac{7}{7(q+3)}=\frac{x}{5 (q^{2} -9)}\\\\frac{1}{q+3}=\frac{x}{5*(q^{2}-3^{2})}\\\\\frac{1}{q+3}=\frac{x}{5(q+3)(q-3)}\\\\\frac{1}{q+3}*5*(q+3)(q-3)=x\\\\5(q-3)=x\\\\x= 5q-15\)

Answer:

--

Step-by-step explanation:

Show all the options please

Not able to see all options

The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

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The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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The correlation coefficient for the data is positive 57,72,69,58,47,84,62 with coefficient being 1.

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

Correlation is a measure of a monotonic association between 2 variables. A monotonic relationship between 2 variables is a one in which either (1) as the value of 1 variable increases, so does the value of the other variable; or (2) as the value of 1 variable increases, the other variable value decreases.

In the given question, the number of fires in 7 years is given as: 57,72,69,58,47,84,62.

Similar is the number of acres burned: 57,72,69,58,47,84,62

This shows total positive correlation , with it's coefficient being 1 .

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Answer:

0.8 miles in a minute, which would be 40 miles a hour.

Step-by-step explanation:

2/5 = 0.4

0.4 times 2 = 0.8

30 seconds times 2 = 60 seconds or 1 minute

60 times 0.8 = 40

60 times 1 minute = 60 minutes or 1 hour

40 miles in an hour or known as 40 miles a hour.

ANSWER

D. 5

EXPLANATION

We have to find the constant of proportionality in the equation:

The general form of a proportional relationship is:

where k = constant of proportionality

Therefore, comparing the given equation with the general equation, the constant of proportionality is 5.

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject \(H_0\ at\ 5%\) level of significance

Step-by-step explanation:

From the question we are told that:

Sample size 1 \(n_1=15\)

Spacing 1 \(s_1=8\)

Mean 1 \(\=x_1=8.48\)

Standard deviation 1 \(\sigma_1=0.96 kPa\)

Sample size 2 \(n_2=16\)

Spacing 2 \(s_2=6\)

Mean 1 \(\=x_1=9.93\)

Standard deviation 1\(\sigma_1=1.02 kPa\)

Generally the hypothesis is mathematically given as

Null \(H_0:\mu_1-\mu_2\)

Alternative \(H_a:\mu_1\mu_2\)

Generally the equation for pooled estimate is mathematically given by

  \(S=\sqrt{\frac{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2}{n_1+n_2-2} }\)

Therefore

  \(S=\sqrt{\frac{(15-1)0.96^2+(16-1)1.02^2}{15+15-2} }\)

 \(S=0.9905\)

Generally the equation for test statistics is mathematically given by

 \(t=\frac{\=x_1+\=x_2}{S\sqrt{\frac{1}{n _1}+\frac{1}{n_2}}}\)

 \(t=\frac{\=8.48-9.93}{0.9905\sqrt{\frac{1}{15}+\frac{1}{15}}}\)

 \(t=-4.00091\)

Therefore From table

 \(P value=P(t_{15+15-2}=4.00091)\)

 \(P value=0.00041918\)

 \(P<0.0005\)

Therefore

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject \(H_0\ at\ 5%\) level of significance

Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation: