Solve the triangle if B=78 degrees and a=41. Round to the nearest tenth.

Answer:

1,220,703,125

Step-by-step explanation:

Honestly don't know how to explain this in any other way than just saying put it in a calculator. Sorry. :p

Answer:

1,220,703,125

Step-by-step explanation:

5^2=25

25^4=390,625

5^5=3,125

390,625 x 3,125= 1,220,703,125

If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.

The F-test is a statistical test used to compare the variances of two groups.

In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.

Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.

Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.

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Answer:

\(4n = 24\)

Step-by-step explanation:

Given

\(Cars = 4\)

\(Empty = 3\)

\(Occupied = 21\)

Required

Determine an equation to find number of seats

Let the number of seats in each car be represented by n;

If \(1\ car = n\)

Then:

\(4\ cars = 4 * n\)

\(4\ cars = 4 n\)

This implies that there are 4n total seats

Solving further:

\(Occupied\ Seats + Empty\ Seats = Total\)

Substitute values for the above parameters:

\(21 + 3 = 4n\)

\(24 = 4n\)

Reorder

\(4n = 24\) ---- This equation can be used to solve for n

Answer:

a ) -1

Step-by-step explanation:

\(\frac{1}{64} = 4^{2s-1} . 16^{2s+2}\\ 4^{-3} = 4^{2s-1+4s+4}\\ 4^{-3} = 4^{6s+3}\\ 6s + 3 = -3\\6s = -6\\s = -1\)

Answer:

Miles per hour

Step-by-step explanation:

And if you want to know the speed it's 3 miles per hour.

Answer:

x = 82°

Step-by-step explanation:

Similar Triangles

Two triangles are similar if their corresponding sides are always in the same ratio.

In similar triangles,  corresponding angles are always congruent.

From inspection of the given diagram, the two triangles are similar as their corresponding sides are in the same ratio.  Therefore, their corresponding angles are equal:

⇒ 2x - 19° = x + 63°

⇒ 2x - 19° - x = x + 63° - x

⇒ x - 19° = 63°

⇒ x - 19° + 19°= 63° + 19°

⇒ x = 82°

Answer:

300 people.

Step-by-step explanation:

The number of people who like at least one of them is 300 people.

A Venn diagram is defined as a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Given data as :

In a survey conducted among the people

The number of people like to eat green vegetables = 200,

The number of people like fruits = 200 and

The number of people like both of them = 100

According to attached Venn-Diagram,

The number of people who like at least one of them = 100 + 100 + 100

The number of people who like at least one of them = 300

Hence, the number of people who like at least one of them is 300 people.

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By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

25 components are randomly chosen and tested; if there are no more than 3 defective components, the entire batch is accepted. The probability is it that the shipment will be accepted is 0.7323.

Given that,

An organization utilizes the following acceptance sampling strategy for ordering shipments of 600 machine parts: 25 components are randomly chosen and tested; if there are no more than 3 defective components, the entire batch is accepted. This specific component is known to have a 4% fault rate.

We have to find how probability is it that the shipment will be accepted.

By binomial we get,

Binomial Problem:

n = 25 ; p = 0.04

P(0<= p <= 2)

= 0.7323

Therefore, The probability is it that the shipment will be accepted is 0.7323.

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The simplified equivalent ratio is 3:5.

To find the equivalent ratio that has 100 as the second quantity, we need to scale up the ratio 6:10 by a factor that will result in a second quantity of 100.

First, we need to find the scaling factor by dividing the desired second quantity (100) by the current second quantity (10):

100 / 10 = 10

This means we need to multiply both the first and second quantities by 10 to get the equivalent ratio with 100 as the second quantity. Therefore, we can write:

6:10 = (6 × 10):(10 × 10) = 60:100

So, the equivalent ratio to 6:10 with 100 as the second quantity is 60:100.

We can also simplify this ratio by dividing both quantities by their greatest common factor, which is 20:

60 / 20 = 3

100 / 20 = 5

So, the simplified equivalent ratio is 3:5.

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22 % probability of selecting 2 oranges from the fruits..

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability of choosing 2 oranges will be calculated as:-

Initially, there are 8+11+5+12 = 36 fruits, of which 12 are oranges.

The total number of the fruits is 36 and we have to choose 2 oranges

Then

\(P=\dfrac{8}{36}=0.22=22\%\)

Therefore there is a 22 % probability of selecting 2 oranges from the fruits..

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The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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Answer:

D,

Step-by-step explanation:

D would be the only one that doesn't represent a function because the y-value never changes while the x-value does.

The standard error of the mean for this random sample of 100 customers is 0.1.

The correct option is C.

The standard error of the mean is a measure that indicates the precision or variability of the sample mean in relation to the population mean. It represents the average amount of sampling error we can expect when estimating the population means based on a sample.

To calculate the standard error of the mean, we divide the standard deviation of the population by the square root of the sample size. In this case, the standard deviation is 1 minute and the sample size is 100.

Dividing 1 by the square root of 100, we get 1/10 or 0.1. This means that the standard error of the mean for this sample is 0.1.

A smaller standard error of the mean indicates that the sample mean is a more accurate estimate of the population mean. In this case, a standard error of 0.1 suggests that the average length of time it took customers to check out may vary around the sample mean by approximately 0.1 minutes.

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Step-by-step explanation:

answer in the image here I hope it's good for you

The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.

The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD,

where

D = 100k,

L = 140k, L < 100psf,

Lr = 40k,

W = +160k or −100k, and

E = +180k or −125k is given below:

Design load = 1.2D + 1.6(Lr or S or R) + 0.5(L + Lr or R) + (W or E)

Here, D is the weight of dead load, L is the weight of live load, Lr is the weight of the roof live load, W is the weight of wind load and E is the weight of earthquake load.

Therefore, for the given loads,

D = 100k

L = 140k

Lr = 40k

W = +160k or −100k

E = +180k or −125k

Max load = 1.2D + 1.6(Lr) + 0.5(L + Lr) + W

= 1.2 (100) + 1.6 (40) + 0.5 (140 + 40) + 160

= 120 + 64 + 90 + 160

= 434 kips

Therefore, the maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.

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Answer: 55

110 ÷ 2 = 55         110 in half is 55 because 10 in half is 5 and  100 in half is 50 so 55 +5 = 55

110÷2=55

Step-by-step explanation:

Answer:

Step-by-step explanation:

Direct variation equation:

Given:

The equation is:

Find the value of x when y = 168:

Answer:

180-(42 +29)

Step-by-step explanation:

the x amgle is taking a "chunk" out of the whole 180

The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Inequalities are used for the non equal comparison of numbers and variables.

Given the inequalities:

y ≥ (1/2)x - 1     (1)

and

x - y > 1     (2)

The graph of the inequality is attached. Shannon's graph is correct.

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1) The differentiation of y = x⁵. x⁶, is equals to the 11x¹⁰.

2) The differentiation of y = x⁴. x⁹, is equals to the 13x¹².

3) The differentiate value or derivative of function, f(x) = (2x+5)(3x−4), is equals to the 12x - 7.

4) The differentiate value or derivative of function, g(x) = (3x−2)(4x+1), is equals to the 24x - 5.

5) The differentiate value or derivative of function, G(x)= 4x²(x³ + 5x), is equals to the 20x⁴ + 60x².

Differentiation is used to determine the derivative of a function. Differentiation is a process, in Maths, where we calculate the instantaneous rate of change in function based on one of its variables.

1) y = x⁵. x⁶

Use the product rule,

\( \frac{dy}{dx} = x⁵ ( \frac{ dx⁶}{dx }) + x⁶( \frac{dx⁵}{dx}) \)

= x⁵ × 6x⁵ + x⁶ × 5x⁴

= 6x¹⁰ + 5 x¹⁰ = 11x¹⁰

2) y = x⁹ × x⁴

\( \frac{dy}{dx} = x^{9}(\frac{ dx^{4} }{dx }) + x^{4} ( \frac{dx^{9}}{dx}) \)

= x⁹ × 4x³ + x⁴ × 9x⁸

= 4x¹² + 9 x¹² = 13x¹²

3) f(x) = (2x+5)(3x−4)

simplify the expression, by multiplying the expressions before differentiating,

=> f(x) = 6x² - 8x + 15x - 20 = 6x² + 7x - 20

differentiation always follow the linear property,

\(f'(x) = \frac{ d(6x²)}{dx} + \frac{d(7x)}{dx} - \frac{d(20)}{dx}\)

\(f'(x) = 6\frac{ d(x²)}{dx }+ 7\frac{d(x)}{dx} - \frac{d(20)}{dx}\)

\(f'(x) = 12x + 7 - 0\)

=> f'(x) = 12x - 7

4) g(x) = (3x−2)(4x+1)

simplify the expression

=> g(x) = 12x² + 3x - 8x - 2 = 12x² - 5x - 2

differentiation always follow the linear property,

\(g'(x) = \frac{ d(12x²)}{dx } - \frac{d(5x)}{dx} - \frac{d(2)}{dx}\)

=> g'(x) = 12 × 2x - 5

=> g'(x) = 24x - 5

5) G(x)= 4x²(x³ + 5x)

Simplify the expression,

G'(x) = 4x⁵ + 20x³ ( since, if base is same then powers added)

\(G'(x) = \frac{ d(4x^{5})} {dx } + \frac{d(20x^{3} )}{dx} \)

=> G'(x) = 4× 5x⁴ + 20× 3 x²

=> G'(x) = 20x⁴ + 60x²

Hence, required derivative value is 20x⁴ + 60x².

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Answer:

m ≤ 12

Step-by-step explanation:

you don't want to exceed 525, so you set the inequality to be

\(525\geq 175+85x\)

we can think of the max as just

\(525=175+85x\)

solve for x

\(85x=350\)

\(x=4ish\)

(note: always round down so that you don't exceed the max. ex. you could round to 4.11 instead of 4.12. x=4.12 would give you a value greater than 525)

130. and. 190. = 220 final answer

Answer:

5x^2-25x+2x-10

5x^2-23x-10

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer:

5x2 -35 +2x

Step-by-step explanation:

(5x+2)(x-5)

5x(x-5) +2(x-5)

5x2- 25 +2x -10

5x2 - 25 -10 +2x

5x2 -35 +2x

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

To explain further for each of the scenarios on how to solve the problem and show your work (set up the numbers in the equation) is given under.

How many two-apple combos can you create when you have three apples?

We may use the following combination equation to solve this problem: C(n, k) is equal to n! / (k! * (n-k)!. In this instance, the number of apples is n=3, and k=2  apples in each combination). With these values entered into the formula, we obtain:

C(3, 2) = 3! / (2! * (3-2)!) = 3 / 2 = 1.5

Given that a combination is a collection of things chosen without respect to their order, the solution to this puzzle is 1.5. However, because you cannot eat half an apple, the real number of combinations of two apples that may be formed is one.

How many possible combinations of two novels can you create if you have four?

C(n, k)=n!/(k!*(n-k))!

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Answer:

See explanations below

Step-by-step explanation:

Given the equation 2( -x + 4) = 3, we are to find x;

2( -x + 4) = 3

Open the bracket;

-2x + 8 = 3

-2x = 3-8

-2x = -5

Multiply through ny -1

2x = 5

Divide through by 2

2x/2 = 5/2

x = 5/2 (Proved)

Answer:

What is a mean?

A mean is the average of all the numbers in a data set.

How can I find mean?

to find mean you add up all the numbers in the data set; and divide them by the amount of numbers there are.

103+3+41+7=154

154÷4=38.5

The mean is 38.5