What is the Z Score for a 90 confidence interval?

The value of the missing angle 1 is 59⁰.

The value of the measure of angle 1 is calculated by applying the concept of sum of angles in a triangle and sum of angles on a straight line.

The measure of the angle adjacent to 139⁰ is determined as follows;

? + 139⁰ = 180⁰  ( sum of angles in a triangle )

? = 180 - 139

? = 41⁰

The value of the missing angle 1 is calculated as follows;

m∠1 + 41⁰ + 80⁰ = 180 ( sum of angles in a triangle )

m∠1 + 121 = 180

m∠1  = 59⁰

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Answer:

153.94 -> 154

Step-by-step explanation:

Have a good day

The interest for the given principal , time and rate is $ 51.06 . The Amount after interest is $ 976.06.

Simple interest is the amount of borrowing-related interest that is calculated using only the original principal and a constant interest rate. Compounding, in which borrowers end up paying interest on principal and interest that increases over a few of payment periods, is not a part of it.

Simple Interest = [tex]\frac{P*R*T}{100}[/tex]

where, P = principal, R = Rate of interest, T = Time.

Now in the given question,

Principal = $925

Rate= 2.3 %

Time = 2.4 years

Then,

Simple Interest,

                           [tex]=\frac{P*R*T}{100} \\\\=\frac{925*2.3*2.4}{100} \\\\=$51.06[/tex]

Hence the interest is $ 51.06 .

Amount after interest = P + I = 925 + 51.06 = $ 976.06.

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Molar mass, or the mass of one mole of a material, is used to convert grams to moles.

It is possible to translate between grams into moles of material using molar mass, which is commonly given in grams per mole.

Divide the substance's mass in grams by its molar mass in grams per mole to convert grams to moles. This provides you with the substance's molecular weight.

For instance, you must first establish the molar mass of sodium chloride (NaCl), which is roughly 58.44 grams per mole, in order to convert 50 grams of NaCl to moles. Thereafter, you may apply the subsequent equation:

gram mass divided by molar mass equals one mole (in grams per mole)

Mole = 50 g / 58.44 g/mol = 0.856 mol 

Hence, 0.856 moles of sodium chloride are equal to 50 grams of sodium chloride. Applications for this conversion may be found in chemistry, physics, and engineering.

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Answer:

15 over 1

Step-by-step explanation:

no explanation

Answer: The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept. We are given the slope m = -1/5, and a point (-5,7) through which the line passes.

To find the y-intercept b, we can substitute the point (-5,7) and the slope m = -1/5 into the slope-intercept form of the equation and solve for b:

y = mx + b

7 = (-1/5)(-5) + b

7 = 1 + b

b = 6

So the y-intercept is b = 6, and the equation of the line in slope-intercept form is:

y = (-1/5)x + 6

Therefore, the equation of the line is y = (-1/5)x + 6.

Step-by-step explanation:

The slope-intercept form of the equation of a line that has a slope of -1/5 and passes through point (-5,7) is:

                y = -x/5 + 6

What is meant by the slope-intercept form of a line?

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

Given,

  the slope of line m = -1/5

 The point on the line = (-5,7)

Then the equation of a straight line is:

y -y1 = m  (x-x1)

y1 = 7

x1 = -5

Then the equation becomes:

y - 7 = -1/5 ( x - (-5))

y-7 = -1/5 ( x+5)

y-7 = -x/5 -1

y = -x/5 + 6

Therefore the slope-intercept form of the equation of a line that has a slope of -1/5 and passes through point (-5,7) is:

                y = -x/5 + 6

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hese two equations can be used to solve for the values of c and m.

Let's define:

c = the number of commercials on which Nakeisha's songs were played

m = the number of movies on which Nakeisha's songs were played

Based on the problem statement, we can set up the following system of equations:

Nakeisha's songs were played on 2 more commercials than movies:

c = m + 2

Nakeisha's total earnings on the royalties from all commercials and movies was $760:

30c + 110m = 760

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Option a) Never. A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect, regardless of its value or the characteristics of the scatterplot.

Correlation does not imply causation, which means that even if two variables are strongly correlated, it does not necessarily mean that one causes the other. There may be other variables or factors that are responsible for the observed correlation, and a causal relationship cannot be established from observational data alone. To establish causality, experimental studies are typically needed, where the potential cause is manipulated and the effect is measured.

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The value of minutes can be converted to hours by dividing the value of minute by 60 so 115000 minutes means 1916.66 hours.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

With the help of our conversion tools, you can convert 115000 Minutes to Days (min to d). Use the direct conversion formula below to convert 115000 min to d.

115000 min = 79.861111111111 d.

Also, you can change 115000 Minutes into other Time (common) units.

We will create an equation to convert 115000 minutes to hours, then utilise the equation to perform the conversion. Since there are 60 minutes in an hour, we can construct our equation as follows:

Hours = Minutes / 60

In the equation above, we may convert 115000 minutes to hours by substituting 115000 minutes, giving the following result:

115000 / 60 = Hours

1916 2/3 hours divided by 115000 minutes is 1916.66667 hours.

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The graph of the system of inequalities is on the image at the end, we can see that one solution is 10 tables and 5 chairs.

We know that an online furniture store sells chairs for $100 each and tables for $350 each.

The store can ship at most 18 pieces, and the must sell no less than $3200

Then if we define:

c = number of chairs.

t = number of tables

Then the system of inequality is:

c + t  ≤ 18

c*100 + t*350  ≥ 3200

The graph of that system of inequalities can be seen below, the solutions are in the doble shaded region, then for example one solution is:

c = 5

t = 10

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The other possibility is that the new battery will last longer on average than the known average battery life of the previous model. A one-sample t-test for a population mean is an appropriate test for the researchers' hypothesis. So, option B. is the correct choice.

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The  value which we convert from 118 kilograms to pounds is equal to ( 260.15 ) pounds ( round upto two decimals ).

Convert 118 kilograms to pounds using standard relation  :

1 kilograms is equivalent to  2.20462 pounds

To covert 118 kilograms to pounds we have :

⇒ 118 kilograms = ( 118 × 2.20462  ) pounds

⇒ 118 kilograms =  ( 260.145 ) pounds

⇒ 118 kilograms =  ( 260.15 ) pounds ( round upto two decimals )

Therefore, converted relation between kilograms to pounds is given by :

118 kilograms =  ( 260.15 ) pounds ( round upto two decimals ).

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Answer: The scale factor is 2/5 and the length of BC is 10

Given: We have to find the factor of dilatation by looking at the pre-image ABCD and the image A'B'C'D' and then we have to find the length of the segment BC.

Explanation: To calculate the dilatation factor we have to look at two given segments, the side D'C' and the side DC since the segment DC belong to the pre-image and the segment D'C' belongs to the image we know that the factor of dilation will be the same for the change relation between those two sides and any other side of the figure so:

Scale factor = 2/5

Now in order to find the measure of the side BC we have to multiply 4 by the inverse scale factor because we are going from the image to the pre-image so:

Length of BC = 4 * 5/2 = 10

The linear equation for salary will be S=$35000+$2000n where n=no. of years.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Another term for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There are three more constants in addition to the constant C: the variables x and y, the coefficients A and B, and the variables.

Now,

Given that Initial salary=$35000

Increment of $2000 every year

Then after n years salary will be

S=35000+2000n

where n=no. of years

hence,

          The linear equation for salary will be S=$35000+$2000n.

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A) Sum of (Score) ΣX equal to 63 and (Mean)M equal to 7.

B) Sum of Score ΣX equal to 96.

C) On the other side of the seesaw, the sixth score must be one point below the mean.

D)The sample has 7 scores.

E) To get the mean for the combined sample, the scores for each sample added together are 6.

A) Here we have to calculate the sum of scores (ΣX),

Add all of the scores together:

8 + 2 + 5 + 7 + 12 + 9 + 11 + 3 + 6

= 63

We sum up all of the scores and divide by the total number of scores (in this example, 9), which gives us the mean (M):

M = ΣX / n

M = 63 / 9

M = 7

B)The following formula may be used to get the value of X when the sample size (n) is 12 and the mean (M) is 8.

ΣX = M x n

ΣX = 8 x 12 = 96

Therefore, ΣX = 96.

C) The sixth score would need to be one point below the mean to balance the total if we know that the first five scores are all one point above the mean. This is thus because, like a seesaw, the mean represents the point of equilibrium in a group of scores. The seesaw is skewed up on one side if five scores are above the mean; the only way to balance it out is to position the sixth score on the other side, one point below the mean.

D) The following formula may be used to get the total number of scores in a sample with a mean (M) of 8 and a sum (X) of 56 scores:

ΣX = M x n

56 = 8 x n

n = 7

Hence, The sample has 7 scores.

E) The sum of the scores for each sample must first be determined in order to get the mean for the combined sample:

First sample, n = 10, M = 8, and the following:

ΣX1 = M x n

ΣX1 = 8 x 10

ΣX1 = 80

Second sample with n = 5 and M = 2:

ΣX2 = M x n

ΣX2 = 2 x 5

ΣX2 = 10

We just put the two amounts together to obtain the combined sample's overall sum of scores (ΣX):

ΣX = ΣX1 + ΣX2

ΣX = 80 + 10

ΣX = 90

We divide the entire sum of scores by the total number of scores to determine the mean for the combined sample:

M = ΣX / n

M = 90 / (10 + 5)

M  = 6

Hence, six is the sample's overall mean.

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Using pattern, The sum of the digits obtained when you divide (1024 - 1) by 11 is 12.

In the real world, in artificial design, or in abstract concepts, a pattern is a regularity. As a result, a pattern's components repeat in a predictable way. An example of a geometric pattern is one that repeats geometric shapes, much like a wallpaper pattern would. Patterns can be immediately observed with any sense.

Given that 99=11×9;  1001=11×91 and 9999=11×909

(1024-1) = 11 * x

x = 1023 ÷ 11

x = (990 + 33) ÷ 11

x = (90* 11 + 3*11) ÷ 11

x = 90 + 3

x = 93

So the sum of digits is 9 + 3 = 12

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Therefore, there are 21 possible selections of two individuals from a group of seven people.

In mathematics, a combination is a way of selecting a subset of objects from a larger set, where the order of selection does not matter. Combinations are also known as unordered selections or combinations without repetition. The number of combinations of k objects that can be selected from a set of n distinct objects is denoted by "n choose k" and is given by the formula: n choose k = n! / (k! (n - k)!) where n! is the factorial of n, defined as the product of all positive integers up to and including n, and k! and (n-k)! are the factorials of k and n-k, respectively. In words, this formula says that the number of combinations of k objects that can be selected from a set of n objects is equal to the number of ways to arrange k objects out of n, divided by the number of ways to arrange the remaining n-k objects.

Here,

To determine the number of possible selections of two individuals from a group of seven people, we can use the formula for combinations:

nCk = n! / (k! (n - k)!)

where n is the total number of individuals in the group, and k is the number of individuals to be selected. In this case, we want to select 2 individuals from a group of 7, so we have:

n = 7

k = 2

Substituting these values into the formula, we get:

7C2 = 7! / (2! (7 - 2)!)

= 7! / (2! 5!)

= (7 x 6 x 5!) / (2 x 1 x 5!)

= (7 x 6) / (2 x 1)

= 21

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Answer:

-4a² + 7a + 4

Step-by-step explanation:

Subtract -4 + 3a² from 7a - a².

(7a - a²) - (-4 + 3a²) =

= 7a - a² + 4 - 3a²

= -4a² + 7a + 4

85 degrees Celsius is equal to 185 degrees Fahrenheit.

To convert Celsius (C) to Fahrenheit (F), you can use the formula:

F = (C × 9/5) + 32

where C is the temperature in Celsius and

F is the temperature in Fahrenheit.

Using this formula,

we can convert 85 degrees Celsius to Fahrenheit as follows:

F = (85 × 9/5) + 32

F = 153 + 32

F = 185

The average body temperature is widely regarded to be between 36.5 °C (97.7 °F) and 37.5 °C (99.5 °F).

Fever is defined as an increase in body temperature of one degree Celsius or more over the average of 37.0 degrees Celsius (98.6 degrees Fahrenheit).

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Answer: I believe the answer would be 20 dollars spent at the movies.

Step-by-step explanation:

To convert 2 pm in the 12-hour clock format to military time, we add 12 to the hour to get 14, and the minutes remain the same, resulting in a military time of 14:00pm.

In military time, the day is divided into 24 hours, starting from midnight (00:00 hours) and ending at 23:59 hours. Each hour is numbered from 0 to 23, instead of repeating the numbers from 1 to 12 twice in a day.

Military time uses a four-digit number to represent the time, where the first two digits represent the hour and the last two digits represent the minutes.

To convert 2 pm in the 12-hour clock format to military time, we need to add 12 to the hour since 2 pm is in the afternoon and military time does not use the "am" or "pm" designations.

So, 2 pm in military time would be 14:00 hours, where 14 represents 2 pm in the 24-hour clock format.

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Answer: If pqr ~ stu, then we know that the corresponding sides are proportional.

We have pq=25 and st=10, so we can find the ratio of corresponding sides as:

25 / 10 = 2.5

This means that each side of stu is 2.5 times smaller than the corresponding side of pqr.

The perimeter of pqr is 75, so we can find the length of the other sides by subtracting the length of pq from the perimeter and dividing by 2:

(pq + qr + rp)/2 = (25 + qr + rp)/2 = 75/2

25 + qr + rp = 75

qr + rp = 50

Since pqr ~ stu, we know that the ratio of perimeters is also 2.5. Therefore, the perimeter of stu is:

Perimeter of stu = 2.5 (st + tu + us)

We know st=10, so we can find the other sides as:

tu = qr / 2.5 = 50 / 2.5 = 20

us = rp / 2.5 = 50 / 2.5 = 20

Therefore, the perimeter of stu is:

Perimeter of stu = 2.5 (10 + 20 + 20) = 2.5 (50) = 125

So the perimeter of stu is 125.

Step-by-step explanation:

Answer:

Inequality form: -2 ≤ x ≤ 1

Interval Notation: [-2, 1]

Step-by-step explanation:

Move all terms not containing x from the center section of the inequality.

Answer:

yes

Step-by-step explanation:

yes

Assuming that the iron plate is lifted to a height against the gravitational force, we can use the formula for potential energy:

Potential Energy = mass x gravity x height

where mass is in kg, gravity is 9.81 m/s^2, and height is in meters.

Rearranging the formula to solve for height, we have:

height = Potential Energy / (mass x gravity)

Plugging in the given values, we have:

height = 2000 J / (10 kg x 9.81 m/s^2)

height = 20.34 meters (rounded to two decimal places)

Therefore, the height of the iron plate is approximately 20.34 meters.

185 centimeter is approximately equal to 6.0696 feet

To convert 185cm to feet, we can use the following formula:

1 cm = 0.0328 feet

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The distance in feet = conversion factor × The distance in centimeter

Substitute the values in the equation

185 cm = 185 x 0.0328

Multiply the numbers

= 6.0696 feet ( rounded to four decimal places )

Therefore, 185cm is 6.0696 feet.

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Answer:

x = -3

Step-by-step explanation:

A vertical line has an undefined slope and its equation can be written as x = a, where 'a' is the x-coordinate of any point lying on the line. This is because all points on a vertical line have the same x-coordinate.

In this case, we are looking for the equation of the vertical line that passes through the point (-3, 8). Since this line is vertical, its equation will be of the form x = a, where a is the x-coordinate of any point on the line.

We can see that the x-coordinate of the point (-3, 8) is -3, so the equation of the vertical line passing through this point will be:

x = -3

And that's the answer. The equation of the vertical line passing through the point (-3, 8) is x = -3.

The price after the discount is,

⇒ $58.5

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A jersey originally cots $50.

And, It was marked up 30% after a championship win and then discounted 10% a few months later.

Now, The markup price is,

⇒ $50 + 30% of $50

⇒ $50 + 30/100 × $50

⇒ $50 + $15

⇒ $65

And, After 10% discount the price is,

⇒ $65 - 10% of $65

⇒ 65 - 10/100 × 65

⇒ $65 - $6.5

⇒ $58.5

Thus, The price after the discount is,

⇒ $58.5

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P(x) = -2x² + 130x - 2000 when x is the price of each game to make the game profitable, the price should be at least $ 25 and no more than $ 40.

Quadratic equations are polynomial equations of degree 2 in one variable of the form f(x) = ax2 + bx + c = 0, where a, b, c, R, and a 0 are all zeros. It is the generic form of a quadratic equation in which 'a' is referred to as the leading coefficient and 'c' is referred to as the absolute term of f. (x). The roots of the quadratic equation (,) are the values of x that fulfil the quadratic equation.

There will always be two roots to the quadratic equation. Roots might be real or fictitious in nature.

p(x) = -2x² + 130x - 2000

The game will be profitable if P (x) > 0.

-2x² + 130x - 2000 > 0

-x² + 65x - 1000 > 0

x² - 65x + 1000 > 0

x(x-25) - 40(x -25) > 0

x>25 x < 40.

Therefore, price should be at least $ 25 and no more than $ 40.

The values of variables that satisfy the given quadratic equation are referred to as its roots. In other words, if f() = 0, x = is a root of the quadratic equation f(x).

The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

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Answer:hello again

Step-by-step explanation: