-5x-2=13, find x please

The 28th percentile for the number of chocolate chips in the bag is 1192.206

To determine the 28th percentile for the number of chocolate chips in the bag, we find the z-score for the 28th percentile.

Found using a z-table or z-calculator, the z-score for the 28th percentile is -0.583

The formula for finding X (the number of items in a given percentile) is:

X = M + Z(S.D.)

Where M is the mean, Z is the specific z-score of the sought percentile and S.D. is the standard deviation.

So for the 28th percentile,

X = 1261 + (-0.583)(118)

X = 1261 - 68.79 = 1192.206

Hence the 28th percentile id 1192.206

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Answer:

5.371 times 10^2

Step-by-step explanation:

hope this helps

Scientific notation only have one digit before the decimal point so

\(537.1 = 537.1 \times \frac{100}{100} \\ 5.371 \times {10}^{2} \: is \: your \: answer \: \)

In linear equation , x = 36 is the total cost, y, depends on the number of students going, x.

What in mathematics is a linear equation?

Tickets cost  for the club adviser =  $21.25

cost for each student who goes = $14.75

Based on the given conditions, formulate x = $21.25 + $14.75

Calculate the sum or difference x = 36

get the result x = 36

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Let's begin with the line that goes from minus infinity to zero

the equation of this line is

because of the filled circle we know that this interval touch the zero

in inequality, this will be

then for the line that is between 0 and 2, we have a filled circle in the number two therefore we can touch this number

the interval will be

in inequality notation

the interval

in inequality notation

Therefore the piecewise function i

the correct option is the second one

Answer:

(a) To find the missing angle, we would do inverse tan.

\(angle =tan^{-1}\frac{opp}{adj}\)

\(angle = tan^{-1}\frac{17}{21}\)

angle= 39.0 degrees or 0.7 radians

(b) To find the missing angle, we would do inverse sin.

\(angle= sin^{-1}\frac{opp}{hyp}\)

\(angle= sin^{-1}\frac{12.7}{22.1}\)

angle= 35.1 degrees or 0.6 radians

Since 2 is not in this range, we can conclude that there is evidence against the hypothesis that Psi (theta) = 2.

Given a 0.95-confidence interval for a characteristic Psi (theta) is given by (1.23, 2.45). We are then asked if there is any evidence against the hypothesis H0: Psi (theta) = 2, the conclusion and reasoning are as follows: Conclusion: There is evidence against the hypothesis H0: Psi (theta) = 2.Justification:We know that the confidence interval is given by (1.23, 2.45), which means that if the true value of Psi (theta) is 2, then we would expect the confidence interval to contain the value 2. However, since the confidence interval does not contain the value 2, we have evidence against the hypothesis that Psi (theta) = 2. This is because the confidence interval represents the range of values that we are reasonably certain the true value of Psi (theta) falls within.

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To determine if there is evidence against the hypothesis \(H_0: \Psi (\theta) = 2\), we need to check if the hypothesized value of 2 falls within the given 0.95-confidence interval (1.23, 2.45).

Since the hypothesized value of 2 lies within the confidence interval, we can conclude that there is no evidence against the hypothesis \(H_0: \Psi (\theta) = 2\). In other words, the data supports the hypothesis that the characteristic \(\Psi\) is equal to 2.

The confidence interval (1.23, 2.45) suggests that we can be 95% confident that the true value of the characteristic \(\Psi\) falls within this interval. Since the hypothesized value of 2 falls within this interval, it is consistent with the data, and we do not have sufficient evidence to reject the hypothesis \(H_0: \Psi (\theta) = 2\).

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Answer:

5

Step-by-step explanation:

=14 + 6^2 ÷ (-4)

=14 + 36 ÷ (-4)

divide 36 by -4

=14 + (-9)

=14 - 9

=5

Answer: y = f(x-1) + 4

Step-by-step explanation:

The dotted line is the function if it was translated 4 units upwards and 1 unit to the right. Therefore, we add 4 to the end of the equation (adding 4 to y) to shift it up, and subtract 1 from the x to shift it to the right.

The FV is $107 for the simple interest.

The formula to calculate simple interest is given as:

I = P × R × T

Where,I is the simple interest, P is the principal or initial amount, R is the rate of interest per annum, T is the time duration.

Formula to find FV:

FV = P + I = P + (P × R × T)

where,P is the principal amount, R is the rate of interest, T is the time duration, FV is the future value.

Given that P = $100, R = 7%, and T = 1 year, we can find the FV of the investment:

FV = 100 + (100 × 7% × 1) = 100 + 7 = $107

Therefore, the FV of $100 invested at 7% for one year (simple interest) is $107.

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Answer:

D: (1,2)

Step-by-step explanation:

To find the translation vector, we need to determine the difference between corresponding coordinates of the original triangle and the translated triangle.

Let's denote the original triangle's vertices as A(0, 0), B(3, 0), and C(0, 4). The corresponding vertices of the translated triangle are A'(1, 2), B'(4, 2), and C'(1, 6).

To find the translation vector, we subtract the coordinates of each vertex in the original triangle from the coordinates of the corresponding vertex in the translated triangle.

Translation vector for point A:

x-component: 1 - 0 = 1

y-component: 2 - 0 = 2

Translation vector for point B:

x-component: 4 - 3 = 1

y-component: 2 - 0 = 2

Translation vector for point C:

x-component: 1 - 0 = 1

y-component: 6 - 4 = 2

Therefore, the translation vector is (1, 2).

Answer:

x = 71/8

Step-by-step explanation:

Solve for x:

2 (x - (3 + 1/2)) = 10 + 3/4

Put 3 + 1/2 over the common denominator 2. 3 + 1/2 = (2×3)/2 + 1/2:

2 (x - (7/2)) = 10 + 3/4

2×3 = 6:

2 (x - (1/2 6 + 1/2)) = 10 + 3/4

6/2 + 1/2 = (6 + 1)/2:

2 (x - (7/2)) = 10 + 3/4

6 + 1 = 7:

2 (x - 1/2 7) = 10 + 3/4

Put each term in x - 7/2 over the common denominator 2: x - 7/2 = (2 x)/2 - 7/2:

2 ((2 x)/2 - 7/2) = 10 + 3/4

(2 x)/2 - 7/2 = (2 x - 7)/2:

2 (1/2 (2 x - 7)) = 10 + 3/4

(2 (2 x - 7))/2 = 2/2×(2 x - 7) = 2 x - 7:

(2 x - 7) = 10 + 3/4

Put 10 + 3/4 over the common denominator 4. 10 + 3/4 = (4×10)/4 + 3/4:

2 x - 7 = ((4×10)/4 + 3/4)

4×10 = 40:

2 x - 7 = 40/4 + 3/4

40/4 + 3/4 = (40 + 3)/4:

2 x - 7 = ((40 + 3)/4)

40 + 3 = 43:

2 x - 7 = 43/4

Add 7 to both sides:

2 x + (7 - 7) = 43/4 + 7

7 - 7 = 0:

2 x = 43/4 + 7

Put 43/4 + 7 over the common denominator 4. 43/4 + 7 = 43/4 + (4×7)/4:

2 x = (43/4 + (4×7)/4)

4×7 = 28:

2 x = 43/4 + 28/4

43/4 + 28/4 = (43 + 28)/4:

2 x = ((43 + 28)/4)

43 + 28 = 71:

2 x = 71/4

Divide both sides by 2:

x = (71/2)/4

4×2 = 8:

Answer: x = 71/8

x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

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The range of number of arrivals you can expect for this supermarket, usually 95% of the time, is 70 to 126.

To determine the range of number of arrivals expected at the supermarket, given the mean and standard deviation, we can use the concept of the normal distribution. Assuming the data is normally distributed, we can calculate the range that includes 95% of the data, which is the usual range. The answer options provided represent different ranges of number of arrivals. We need to identify the range that falls within the 95% confidence interval of the data.

To find the range of number of arrivals expected with 95% confidence, we can use the mean and standard deviation of the sample. The mean represents the average number of arrivals, and the standard deviation measures the dispersion of the data.

Since the data is assumed to follow a normal distribution, we know that approximately 95% of the data falls within two standard deviations of the mean. This means that the expected range will be the mean plus or minus two standard deviations.

To calculate this range, we can add and subtract two times the standard deviation from the mean. Using the given mean and standard deviation, we can determine the lower and upper limits of the expected range.

Comparing the answer options provided, we need to choose the range that falls within the calculated range. The option that matches the calculated range would be the correct answer, representing the range of number of arrivals we expect at the supermarket with 95% confidence.

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Answer:

Step-by-step explanation:

if we consider x as the number we can write this inequality:

4x ≤ 36

If we divide the two members by 4 we have:

x ≤ 9

Answer: D:-7

Step-by-step explanation:

use m a t h w a y.

On property held by Christian missions, some 20,000 Indians were working and living in California.

10,000 Pueblo Indians, 30,000 people of Spanish ancestry, and an unspecified number of migratory Indians made up New Mexico.

The Treaty of Córdoba was signed on August 24, 1821, by Spanish Viceroy Juan de O'Donoj, approving a plan to transform Mexico into a sovereign constitutional monarchy. Iturbide was named the emperor of Mexico in 1822 since there had been no discovery of a Bourbon king to rule Mexico.

The nation was left in a dire situation after winning independence in 1821. Over 500,000 Mexicans perished during the war, and agricultural, mining, & industrial productivity all declined. Mexico was a young nation that was having internal difficulties becoming a nation.

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Answer:

b) 16 ÷ 4 × (11 - 7)

Step-by-step explanation:

Given statement,

→ quotient of 16 & 4 times 7 less than 11.

Forming the expression,

→ 16/(4(11 - 7))

→ 16 ÷ 4 × (11 - 7)

Evaluating the following,

→ 16 ÷ 4 × (11 - 7)

→ 16 ÷ (4 × 4)

→ 16 ÷ 16 = 1

Hence, option (b) is correct.

Given

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:

-Divide both sides by -2:

Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:

As you can see the values are a valid solution for the linear equation.

So the solution is:

The required quarts of frozen yogurt made in 36 hours as per the given information is equal to 720 quarts.

Quarts of frozen yogurt made by factory is equal to 100 quarts

Time required to make 100 quarts of frozen yogurt is equal to 5 hours

Let 'x' quarts of frozen yogurt made in 36 hours

5 hours = 100 quarts of frozen yogurt

⇒ 1hour = ( 100 / 5 ) quarts of frozen yogurt

⇒ 36 hours =  ( 100 / 5 ) × ( 36 ) quarts of frozen yogurt

⇒ 36 hours =  ( 20 ) × ( 36 ) quarts of frozen yogurt

⇒ 36 hours =  ( 720 ) quarts of frozen yogurt

Therefore, the quarts of frozen yogurt made in 36 hours is equal to 720 quarts.

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Answer:

The answer to you question is 93

Step by Step Explanation:

(2 x 8^2) +7- (7 x 6)

128+7-42

=93

Answer:

93

Step-by-step explanation:

2(82)+7−(7)(6)

=(2)(64)+7−(7)(6)

=128+7−(7)(6)

=135−(7)(6)

=135−42

=93

Hope this helps

\(Aaisha Thameem\)

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

29 weeks.

Explanation:

398-50= 348

348 divided by 12= 29

She has to save up for 29 weeks to get her tablet.

The variable "colors of cars in a mall parking lot" is a categorical variable because it is a qualitative variable.

Categorical variables are variables that describe the characteristics of a group of entities and are usually described by words or labels. They are used to classify data into categories or groups and do not have a numerical or quantifiable meaning.

Examples of categorical variables include gender, religion, nationality, etc. In contrast, numerical variables are quantitative variables that have numerical or quantifiable meaning. They can be either discrete or continuous.

Discrete variables are countable, meaning that they have a finite number of possible values. Examples of discrete variables include age, number of siblings, etc. Continuous variables are variables that can take on any value within a given range. Examples of continuous variables include height, weight, etc.

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Answer:

Step-by-step explanation:

Solution : The graph of y=5 is a line parallel to the x-axis at a distance of 5 units from the origin

hope that help

mark me brillllll

Answer: a = 122*

The three angles added together form a circle or 360*.

Set a + b + c = 360 and solve for a

a + 66 + 172 = 360

Subtract 238 from both sides to get a

a = 122*