Answer BOTH questions please!


What's the square root of 91?





Did y'all have a good Valentine's day?




~♥️ Love On♥️~​

The measure of side x from the given right angled triangle is 2√6 units.

From the given figure, in one of the triangle hypotenuse is 8 units.

We know that, sinθ=Opposite/Hypotenuse.

Here, sin45°= y/8

1/√2 = y/8

y= 8/√2

y= 4√2 units

Now, sin60°=x/4√2

√3/2 = x/4√2

2x=4√6

x=2√6 units

Therefore, the measure of side x from the given right angled triangle is 2√6 units.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ1

The distribution we would use to look up the p-value is option (c) t(15).

Since the population standard deviation is unknown and the sample size is less than 30, we should use a t-distribution to look up the p-value.

The test statistic can be calculated as

t = (sample mean - hypothesized population mean) / (sample standard deviation / √(sample size))

Substitute the values in the equation

t = (1988 - 2000) / (32 / √(16))

Do the arithmetic operation

t = -3

The degrees of freedom for the t-distribution would be (sample size - 1), which is 15 in this case.

Therefore, the correct option is (c) t(15).

Learn more about t-distribution here

brainly.com/question/13624214

#SPJ4

In the given context, there is a triangle ΔJKL. The sides of the triangle are represented by line segments JK, KL, and LJ. The lengths of these line segments are as follows: JK = 15 units, KL = 13 units, and LJ = unknown.

Additionally, there are two other line segments mentioned: JM = 5 units and LK = 13 units.

The question asks whether JL is parallel to MP. In terms of parallel lines, two lines are parallel if they never intersect and are always equidistant from each other.

To determine if JL is parallel to MP, we need to identify the line segment MP and assess if it meets the conditions for being parallel to JL.

However, the content does not provide any information about line segment MP. Therefore, with the given information, it is not possible to determine whether JL is parallel to MP or not.

To know more about segments visit:

https://brainly.com/question/12622418

#SPJ11

Answer:

D

Step-by-step explanation:

on edu 2020

Answer:

D (3,8)

Step-by-step explanation:

On edge

y = -\(\frac{5}{3}\)x+5  equation has an X intercept of 3 and a y intercept of 5 .

  The point on a line where it crosses an axis is referred to as the "intercept." The slope of the line passes through a point called an intercept on the y-axis.

The equation for a line, which is written as y = mx+c, which stands for slope and y-intercept, respectively, reflects this.

The two main intercepts are X-intercept and Y-intercept. Where the line crosses the x and y axes, respectively, is where the line's x-intercept and y-intercept are situated.

In this case, you are given both intercepts.

Plot a line from the third x-axis point.

On the y-axis, place the coordinates y = 5.

The necessary line is a straight line that passes through these two places is

y = -\(\frac{5}{3}\)x+5

For more such questions on Intercept :

brainly.com/question/14180189

#SPJ4

The mode (A) is the measure of variability used for nominal variables such as gender and political party.

When dealing with nominal variables, which represent categories or labels rather than numerical values, the mode is the most appropriate measure of variability. The mode identifies the category that appears most frequently in the dataset, representing the most common or prevalent attribute among the respondents.

In the case of gender, for example, the mode would indicate whether the majority of the sample identifies as male or female. Similarly, for political party affiliation, the mode would identify the party that has the highest number of members within the dataset.

Unlike other measures such as the standard deviation (C) or stratified variance (D), which are more suitable for numerical variables, the mode is specifically designed to capture the distribution and central tendency of nominal variables. It provides valuable insight into the dominant category within the dataset, highlighting the most frequent attribute among the observations.

Learn more about Measure of Variability

brainly.com/question/31636027

#SPJ11

Answer:

x = 5

Step-by-step explanation:

\(12x = 70 - 2x\)

\(14x = 70\)

\(x = 5\)

Answer:

Here :))

Step-by-step explanation:

Answer:

(D)7 in.

Step-by-step explanation:

A regular hexagon can be divided into six equilateral triangles.

Therefore:

\(b=\dfrac{c}{2}\)

Applying Pythagoras Theorem

\(c^2=12^2+b^2\\c^2=12^2+(\frac{c}{2})^2\\c^2-(\frac{c}{2})^2=12^2\\c^2-\dfrac{c^2}{4}=144\\\dfrac{4c^2-c^2}{4}=144\\\dfrac{3c^2}{4}=144\\$Cross multiply\\3c^2=144 \times 4\\3c^2=576\\$Divide both sides by 3\\c^2=192\\$Therefore:\\c=\sqrt{192}\\c=8\sqrt{3}$ in.\)

Recall that b=c/2

Therefore:

\(b=4\sqrt{3} \approx 7$ in.\)

The value of b is 7 inches.

Higher net present value of front end loader makes it a better investment.

here, we have,

Average Rate of Return = Average Net Income/Average Investment

Average Investment = (Beginning Investment + Ending Investment)/2

= (75,000+0)/2

= $37,500

Average rate of return = Average Income/Average Investment

Front end Loader = 11,250/37,500

=30%

Greenhouse = 11,250/37,500

=30%

1b. NPV = Present value of cash inflows – Present value of cash outflows

Front end Loader

Greenhouse

Present Value of net cash flow

99,940,75

26,250*3.605 = $94,631.25

Amount to be invested

75000

75000

Net Present Value

24,940.75

19,631.25

Higher NPV, Earlier in time

Front end loader is more attractive

Higher net present value of front end loader makes it a better investment.

learn more on Average Net Income

https://brainly.com/question/31930809

#SPJ4

complete question:

Average Rate Of Return Method, Net Present Value Method, And Analysis The Capital Investment Committee Of Nature’s Portrait Landscaping Company Is Considering Two Capital Investments. The Estimated Income From Operations And Net Cash Flows From Each Investment Are As Follows: Front-End Loader

Average Rate of Return Method, Net Present Value Method, and Analysis

The capital investment committee of Nature’s Portrait Landscaping Company is considering two capital investments. The estimated income from operations and net cash flows from each investment are as follows:

In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

To learn more about variable here:

https://brainly.com/question/29521826

#SPJ4

It is essential that you do not depart too much from overall mean value of x when predicting a future value of y because the variance of the estimate increases as we deviate, increasing uncertainty.

Regression analysis is a method being used finance, investments, and other disciplines to evaluate the strength and character of a relationship between a single dependent variable (typically represented by Y) and a set of other factors like independent variables.

Thus, when utilizing a historical regression models that predict a future value of y, it is advised to ensure that you not deviate too drastically from the mean value of x because our estimate's variance increases as we move further away from the mean, implying greater uncertainty.

To know more about the historical regression, here

https://brainly.com/question/5620124

#SPJ4

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

77.2 percent of mothers with children under age 6 work in the United states.

Mothers are less likely to work when their children are young than when they are older: In 2019, women with children under the age of six had a labor force participation rate of 66.4%, while those with children aged six to seventeen had a rate of 76.8%.

Among mothers with children under the age of three, married mothers were less involved than mothers of other marital situations — 62% versus 66%.

Working women confront child care challenges: According to a Center for American Progress poll, half of American families reported trouble getting child care.

Based on the amount of time and resources based on the amount of time based on the amount of time based on the length of time based on the length of time based on the length of time based on the duration of time based on the amount of time.

More over two-thirds of homemakers indicated they would "search for employment" if they could find more affordable child care. One-third of part-time parents stated they would work more hours if child care was available.

To learn more about percent visit:

brainly.com/question/29085726

#SPJ4

Answer:

m = 3

Step-by-step explanation:

Given

\(5^{4m}\) = \(5^{12}\)

Since the bases on both sides are equal ( both 5) the equate the exponents.

4m = 12 ( divide both sides by 4 )

m = 3

Option B "Perpendicular Lines"  is correct.

"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.

Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.

Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.

Learn more about Perpendicular lines brainly.com/question/1202004

#SPJ4

Answer:

43

Step-by-step explanation:

Option A is correct, 57.17% is the probability that he hits the target at least four out of next six attempts.

Let's calculate the probability of hitting the target exactly four times out of six attempts:

P(4 hits) = C(6, 4) × (0.65)⁴ ×  (1 - 0.65)⁶⁻⁴

The probability of hitting the target exactly five times out of six attempts:

P(5 hits) = C(6, 5) × (0.65)⁵ × (1 - 0.65)⁶⁻⁵

Now calculate the probability of hitting the target all six times:

P(6 hits) = (0.65)⁶

Now, we can find the probability that Tom hits the target at least four times by summing up the individual probabilities:

P(at least 4 hits) = P(4 hits) + P(5 hits) + P(6 hits)

P(at least 4 hits) = C(6, 4) × (0.65)⁴ ×  (1 - 0.65)⁶⁻⁴ + C(6, 5) × (0.65)⁵ × (1 - 0.65)⁶⁻⁵ +  (0.65)⁶

=57.17%

Hence,  57.17% is the probability that he hits the target at least four out of next six attempts.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

Know more about the ordinal scale here:

https://brainly.com/question/13267344

#SPJ4

Answer:

Exact Form:

1/6

Decimal Form:

0.16 (6 repeating)

Step-by-step explanation:

Answer:

(x+3)(x-3) in the numerator = 0

3,-3

Step-by-step explanation:

The required function that gives miles driven in t hours will be [Distance=42×t].

So, the formula for distance is:

Distance =  s × t

Where s is speed and t refers to time.

So, the functions that give miles driven in t hours will be:

Distance =  s × t

Distance =  42 × t

Therefore, the required function that gives miles driven in t hours will be [Distance=42×t].

Know more about functions here:

https://brainly.com/question/25638609

#SPJ4

you need to plug the coordinates into the slope formula, which is m=(y2-y1)/(x2-x1).

m=(9-6)/(5-4)

m=(3)/(1)

m=3

Answer:

5x% + 300

where x is the sales

Step-by-step explanation:

In order to double the error margin, the new sample size should be four times smaller than the original sample size. Therefore, the correct answer is: C. One-fourth of the original sample size.

To determine how big of a sample size should be used to double the error margin compared to the original sample size, we need to understand the relationship between error margin, sample size, and original sample size.

Error margin is inversely proportional to the square root of the sample size. This means that when you increase the sample size, the error margin decreases, and vice versa. The formula for this relationship is:

Error Margin = Constant / √(Sample Size)

To double the error margin, we can set up the following equation:
2 * (Constant / √(Original Sample Size)) = Constant / √(New Sample Size)

Now, we can solve for the New Sample Size:
2 * √(Original Sample Size) = √(New Sample Size)

Square both sides of the equation:
4 * Original Sample Size = New Sample Size

Based on this equation, the new sample size should be four times smaller than the original sample size. Therefore, the correct answer is One-fourth of the original sample size.

To know more about error margin refer here:

https://brainly.com/question/29419047#

#SPJ11

Answer: Rs 1469

Step-by-step explanation:

Coat of item = RS 1300

Value added tax = 13%

The price of the item will then be calculated as:

= 1300 + (1300 × 13%)

= 1300 + (1300 × 0.13)

= 1300 + 169

= Rs 1469

The function in the variable x giving the area (in square feet) of the fenced-in region is A(x) = 60x - x^2.

The fenced-in region has the shape of a rectangle with one side perpendicular to the building and the other parallel to the building. If x denotes the length of one side of the rectangle perpendicular to the building, then the length of the other side parallel to the building is given by 60 - x, since the total width of the region is 60 feet.

The area of the rectangle is given by A = length x width, or A = x(60 - x). Expanding the product, we have A = 60x - x^2.

Thus, the function in the variable x giving the area (in square feet) of the fenced-in region is A(x) = 60x - x^2.

To learn more about rectangle visit;

https://brainly.com/question/15078630

#SPJ11

The measure of the angles are;

a = 20 degrees

d = 20 degrees

b = 59 degrees

c =62 degrees

To determine the values, we need to know the following;

From the diagram shown, we have that;

70 + 90 + a = 180

collect the like terms, we have;

a = 20 degrees

Since corresponding angles are equal, we have that;

d = 20 degrees

To determine the value of b, we have;

b + 3 1+ 90 = 180

collect the like terms, we have;

b = 59 degrees

c + 90 + 28 = 180

c =62 degrees

Learn more about angles at: https://brainly.com/question/25716982

#SPJ1

The perimeter of the enlarged square is 60 cm, and the area of the enlarged square is 225 cm². The perimeter of a square is equal to the sum of the sides of the square. If the side of the square is x, the perimeter of the square is 4x.

So the perimeter of the original square with side length 6 is:

Perimeter = 4 × 6

             = 24 cm

To find the perimeter of the enlarged square, we need to multiply the original perimeter by the scale factor, which is 2.5. The perimeter of an enlarged square

= 24 × 2.5

= 60 cm.

So, the perimeter of the enlarged square is 60 cm. To find the area of a square, we square the length of one of the sides. So, the area of the original square with side length 6 is:

Area = 6 × 6

= 36 cm²

To find the area of the enlarged square, we need to square the length of one of the sides of the original square and then multiply by the scale factor².

Area of enlarged square = (6 × 2.5)²

                                        = 15²

                                       = 225 cm²

So, the area of the enlarged square is 225 cm².

The given square has a side length of 6 cm. When the square is enlarged using a scale factor of 2.5, we need to find the perimeter and area of the enlarged square. The perimeter of a square is equal to the sum of the sides of the square. So, if the side of the square is x, the perimeter of the square is 4x. The side of the given square is 6 cm. Therefore, the perimeter of the original square is:

Perimeter = 4 × 6

             = 24 cm

To find the perimeter of the enlarged square, we need to multiply the original perimeter by the scale factor, which is 2.5.

Perimeter of enlarged square = 24 × 2.5

= 60 cm.

So, the perimeter of the enlarged square is 60 cm. The area of a square is the product of the length of one side of the square with itself. So, if the side of the square is x, the area of the square is x². The side of the given square is 6 cm. Therefore, the area of the original square is:

Area = 6 × 6

       = 36 cm²

To find the area of the enlarged square, we need to square the length of one of the sides of the original square and then multiply by the scale factor squared.

Area of the enlarged square = (6 × 2.5)²

                                                = 15²

                                               = 225 cm²

So, the area of the enlarged square is 225 cm². Therefore, the perimeter of the enlarged square is 60 cm, and the area of the enlarged square is 225 cm².

To know more about the square, visit :

brainly.com/question/28776767

#SPJ11

If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

To learn more about probability click on,

https://brainly.com/question/25905476

#SPJ4

Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?