{ (-3, 4), (7,5), (13, — 7), (15, 4) }

Answer:

Step-by-step explanation:

3x + y = 1

⇔ -3x + 3x + y = -3x + 1  (we added -3x to both sides of the equation)

⇔ y = -3x + 1  ( because -3x + 3x = 0)

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

yes

Step-by-step explanation:

Answer: yes

Step-by-step explanation: 1.8 L is greater than 1,500 ML because 1.8 L equals 1800 ML.

One Liter has 100 mL

Hope this helps :)

Answer:

the graph is in link

Step-by-step explanation:

y ..... means full  line and shading above the line

Y< ......means  doted  line and shading below the line

A) solution is overlapping shaded part

B) (10,5)

plug in point in inequalities and check if it's true; if it's true you showed that solution is correct

1. 5-1/2*10 + 2 1/2

 5 -5 + 2 1/2

 5 -2 1/2 TRUE

2. 51/5*10 + 6

  5< 2 + 6

5< 8  TRUE

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer:

O a=0

Step-by-step explanation:

We have the following:

"five more than three times a number q"

They tell us fice (5) added (+) to 3 times a number q (3q)

Answer:

15 years old

Step-by-step explanation:

Start by defining the variables that we are going to use throughout our working:

Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.

Next, form equations using the given information.

5 years ago

Wei Ling: (L -5) years old

Wei Xuan: (X -5) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,

\( \frac{ L - 5}{X - 5} = \frac{2}{5} \)

Cross multiply:

2(X -5)= 5(L -5)

Expand:

2X -10= 5L -25

2X= 5L -25 +10

2X= 5L -15 -----(1)

9 years time

Wei Ling: (L +9) years old

Wei Xuan: (X +9) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,

\( \frac{L + 9}{X + 9} = \frac{3}{4} \)

Cross multiply:

3(X +9)= 4(L +9)

Expand:

3X +27= 4L +36

3X= 4L +36 -27

3X= 4L +9 -----(2)

Let's solve using the elimination method.

(1) ×3:

6X= 15L -45 -----(3)

(2) ×2:

6X= 8L +18 -----(4)

(3) -(4):

6X -6X= 15L -45 -(8L +18)

0= 15L -45 -8L -18

0= 7L -63

7L= 63

L= 63 ÷7

L= 9

Substitute L= 9 into (1):

2X= 5(9) -15

2X= 45 -15

2X= 30

X= 30 ÷2

X= 15

Thus, Wei Xuan is 15 years old now.

Answer:

f(-5) = -195

Step-by-step explanation:

Given that,

\(f(x)=x^3-2x^2+3x-5\) ....(1)

and

\(g(x)=x^2+x-1\)

We need to find the value of f(-5).

Put x = -5 in equation (1).

\(f(-5)=(-5)^3-2(-5)^2+3(-5)-5\\\\=-195\)

So, the value of f(-5) is equal to (-195).

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

2x - 12 = y

Step-by-step explanation:

→ Add y to both sides

2x = 12 + y

→ Minus 12 from both sides

2x - 12 = y

Answer: 44 degrees

Step-by-step explanation: 59+77+x=180

x=44

Answer:

Step-by-step explanation:

40-20 =20 then times 3 which is 60.

Answer:

Maybe they are all 13s th am sure

Answer:

13+34=47

Step-by-step explanation:

Let us call the number x

13+x=47

so we can assume

47-13=x

47=13=34

13+34=47

Denote by t the time we ned to paint a fence, by l the length of the fence and by n the number of painters. Then, we have the next equation

It takes 5 hours and 30 minutes, that is

to paint a l=150 feet fence with n=3 painters, then

So, if we have a l=510 feet fence and n=7 painters, then we will need

That is, approximately 8 hours.

A 98% confidence interval to estimate the proportion of all such items that are defective is A . ( 0.012 , 0.058 ) .

Given :

Of 346 items tested, 12 are found to be defective. Construct a 98% confidence interval to estimate the proportion of all such items that are defective.

Middle = 0.02 / 2

= 0.01

At 98 % z score ;

z = -2.33

z* = 2.33

CI = p ± z \(\sqrt{p ( 1 - p) / n}\)

= 12 / 346 + 2.33 * \(\sqrt{12/346 * 334/346 / 346}\)

= 0.347 ± 0.229

= 0.347 - 0.229 to 0.347 + 0.229

= 0.118 to 0.576

≈ 0.012 to 0.058

Learn more about the confidence here:

https://brainly.com/question/13242669

#SPJ4

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

9514 1404 393

Answer:

  f(x), h(x), g(x)

Step-by-step explanation:

For a quadratic in standard form, ...

  ax² +bx +c

the axis of symmetry is ...

  x = -b/(2a)

For the various functions, the axes of symmetry are ...

  f(x): x = 0/(2·3) = 0

  g(x): x = -(-4)/(2·1) = 2

  h(x): x = (-4)/(2(-2)) = 1

From least to greatest axis of symmetry the functions are ...

  f(x), h(x), g(x)

Answer:

The 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction is (-0.0849, 0.0013).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

North:

274 out of 1000. So

\(p_N = \frac{274}{1000} = 0.274, s_N = \sqrt{\frac{0.274*0.726}{1000}} = 0.0141\)

South

240 out of 760. So

\(p_S = \frac{240}{760} = 0.3158, s_S = \sqrt{\frac{0.3158*0.6842}{760}} = 0.0169\)

Distribution of the difference:

\(p = p_N - p_S = 0.274 - 0.3158 = -0.0418\)

\(s = \sqrt{s_N^2+s_S^2} = \sqrt{0.0141^2+0.0169^2} = 0.022\)

Confidence interval:

The confidence interval is:

\(p \pm zs\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

Lower bound:

\(p - zs = -0.0418 - 1.96*0.022 = -0.0849\)

Upper bound:

\(p + zs = -0.0418 + 1.96*0.022 = 0.0013\)

The 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction is (-0.0849, 0.0013).

Given the proportion and number of residents in the North and South of

0.274, 1000, and approximately 0.316, 760, we have;

The given parameter presented in a tabular form are;

\(\begin{array}{|c|c|c|}Support \ Constructtion&North&South\\Yes&274&240\\No&726&520\\Total & 1000& 760\end{array}\right]\)

Which gives;

Proportion of the North resident that support, \(\mathbf{\hat p_N}\) = 274 ÷ 1000 = 0.274

The number of people sampled in the north, n₁ = 1,000

Proportion of the South resident that support, \(\mathbf{\hat p_S}\) = 240 ÷ 760 ≈ 0.316

The number of people sampled in the south, n₂ = 760

The confidence interval for the difference of two proportions are given

as follows;

\(\hat{p}_N-\hat{p}_S\pm \mathbf{ z^{*}\sqrt{\dfrac{\hat{p}_N \cdot \left (1-\hat{p}_N \right )}{n_{1}}+\dfrac{\hat{p}_S \cdot \left (1-\hat{p}_S \right )}{n_{2}}}}\)

Where;

The z-score at 95% confidence level is 1.96

Which gives;

\(C.I. = \left(0.274-0.316 \right)\pm 1.96 \times \sqrt{\dfrac{0.274 \times \left (1-0.274 \right )}{1000}+\dfrac{0.316 \times \left (1-0.316 \right )}{760}}\)

C.I. ≈ (-0.085, 0.00109)

The 95% confidence interval, C. I. of the difference in the proportion of

the residents in the regions who support the construction, \(\hat p_N\) -  \(\hat p_S\) is

therefore;

Learn more calculating the confidence interval here:

https://brainly.com/question/15308274

Answer:

\(\red{ \bold{ 7 {x}^{2} + 180x + 324 = 0}}\)

Step-by-step explanation:

Given is an isosceles right triangle.

Therefore, by Pythagoras theorem:

\( {(5x + 18)}^{2} = {( - 3x)}^{2} + {( - 3x)}^{2} \\ \\ \implies \: {(5x)}^{2} + 2(5x)(18) + {(18)}^{2} = 9 {x}^{2} + 9 {x}^{2} \\ \\ \implies \: 25 {x}^{2} + 180x + 324 = 18 {x}^{2} \\ \\ \implies \: 25 {x}^{2} - 18 {x}^{2} + 180x + 324 = 0 \\ \\ \implies \: \ \red{ \bold{ 7 {x}^{2} + 180x + 324 = 0}}\\ \\ \)

The two integers where the value of square root of 11 lies is between 3 and 4.

It should be noted that the information is to find the two integers where the value of square root of 11 lies.

It should be noted that the square root of 11 is 3.33.

It should be noted that 3.33 lies between 3 and 4.

Learn more about integers on:

brainly.com/question/17695139

#SPJ1

Between which two integers is the value of square root of 11.

The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

learn more on expression here: https://brainly.com/question/11133268

#SPJ1

Answer:

D. a = 0.0022

    b = 2.31

    r = 131%

Step-by-step explanation:

I calculated it logically

The starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t. Write r as a percent. \(Q = 0.0022(2.31)^t\) is Option a) a = 0.0022, b = 2.31, r = 131%

In the given formula, Q = abt = a(1 + r)t, the variables represent the following:

- "a" is the starting value.

- "b" is the growth factor.

- "r" is the growth rate expressed as a percentage.

Looking at the expression given: \(Q = 0.0022(2.31)^t\), we can identify the values as follows:

- "a" = 0.0022

- "b" = 2.31

To find the value of "r," we need to rewrite the formula as Q = a(1 + r)^t and then solve for "r."

Given \(Q = 0.0022(2.31)^t\), we can rewrite it as:

\(Q = a(1 + r)^t\)

\(0.0022(2.31)^t = a(1 + r)^t\)

Now, we can divide both sides of the equation by "a" to isolate the term

\((1 + r)^t\):

\((2.31)^t = 1 + r\)

Next, subtract 1 from both sides to solve for "r":

\(r = (2.31)^t - 1\)

Since the value of "t" is not specified, we cannot determine the exact numerical value of "r" without knowing the specific time "t." However, we can express "r" as a percentage, as requested.

So, the correct answer is: a) a = 0.0022, b = 2.31, r = 131%

To know more about Percentage here

https://brainly.com/question/16996108

#SPJ2

\(9+3(10 \div 2)-5^2\\\\=9+3(5)-25\\\\=-16+15\\\\=-1\)