Complete the identities.

sec θ =1/?

Answer:

asa - angle side angle

\((4d)(6d)(0.25d)=d^3[(4)(6)(0.25)]=\boxed{6d^3}\)

We accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

We have given: μ = 14, x bar = 16, n = 40, s = 6,  α = 5%, = 0.05

To test μ0 : μ = 14   Vs  H1: μ > 14

Test statistics = (X bar - μx)√n / sx = (2 x 6.3245) / 6 = 2.1081

So, P value = 0.021

Conclusion: There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

P value for the hypothesis test

n = 50, x bar = 420, sx = 81, μ = 400,

To test:  H0: μ 400    Vs   H1:  μ > 400

It is right tail test

Test statistics =  (X bar - μx)√n / sx = (420 - 400) √50 / 81 =

z = 1.7459

P value = 0.04093

Declsion: We reject H0 is p value < α

Here α = 0.05

Hence P value < α

Conclusion: We accert H1 alternative that is result is population mean greater than 400.

Hence, we accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

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Answer:

351

Step-by-step explanation:

3%=0.03

3900*0.03*3=351

The correct answer is A. no; since np<5, the normal distribution should not be used.  This is because np<5, which violates the condition for using the normal distribution approximation to the binomial distribution. In this case, np=15 which is less than 5, and therefore, the binomial distribution should be used. If np is greater than or equal to 5, a normal approximation to the binomial distribution can be used.

The binomial distribution can be used to model the probability of a certain number of successes in a fixed number of independent trials, where the probability of success in each trial is the same. However, if the number of trials is large and the probability of success is small, the binomial distribution can be approximated by a normal distribution.

In this case, we have

n = 100 trials and p = 0.15

probability of success in each trial.

Therefore, np = 15, which is less than 5. According to the rule of thumb, if np < 5 or n(1-p) < 5, the normal distribution approximation is not valid, and the binomial distribution should be used.

Since the probability of success is small (0.15), and the number of trials is relatively large (100), we could use a normal approximation to the binomial distribution. However, since np < 5, we cannot use the binomial probability formula directly. Instead, we would need to use a continuity correction and the standard normal distribution to estimate the probability. Therefore, option A is the correct answer.

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Therefore, the maximum volume of the box is 112 cubic units, and the dimensions of the box that give us the maximum volume are: Length = 14 units, Width = 4 units ,Height = 2 units

To maximize the volume of the box, we need to find the dimensions that maximize the volume of the box. Let's assume that squares of side length x are cut out of each corner of the cardboard. Then, the dimensions of the box can be expressed as:

Length = 18 - 2x

Width = 8 - 2x

Height = x

The volume of the box is given by the product of these dimensions:

\(V(x) = (18 - 2x)(8 - 2x)(x)\)

Expanding this equation, we get:

\(V(x) = 4x^3 - 52x^2 + 144x\)

To find the maximum volume, we need to take the derivative of V(x) and set it equal to zero:

\(V'(x) = 12x^2 - 104x + 144 = 0\)

Solving this quadratic equation, we get:

x = 2 or x = 6

We need to check both solutions to see which one gives us the maximum volume.

When x = 2, the dimensions of the box are:

Length = 18 - 2(2) = 14

Width = 8 - 2(2) = 4

Height = 2

The volume of the box is:

V(2) = (14)(4)(2) = 112

When x = 6, the dimensions of the box are:

Length = 18 - 2(6) = 6

Width = 8 - 2(6) = -4 (negative, so this solution is not possible)

Height = 6

Therefore, the maximum volume of the box is 112 cubic units, and the dimensions of the box that give us the maximum volume are:

Length = 14 units

Width = 4 units

Height = 2 units.

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Step-by-step explanation:

hope you can understand

Answer:

Beatle spin bbc ankle biter bush light

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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Answer:

D. 5.5

Step-by-step explanation:

Answer: 5.5

Step-by-step explanation:

KM=LN

6x+16=49

6x=33, x=5.5

Answer:

red counters=3

yellow counters=5

3+5=8

r•c=8-7=1

y.c=8-8=0

Answer:

-516

Step-by-step explanation:

The product of two numbers is the result you get when you multiply them together. So, -12 x 42 = -516:)

Hope this helps, if so may I have brainliest?

Answer:

c= 15

Step-by-step explanation:

a= # of adults c= # of children

a+c=20

15a + 10c = 225

c= 20-a

substitute 20-a into 15a +10c =225

15a + 10(20-a)= 225

solve for c

hope this helped! :)

If there is a dilation with a scale factor of 1/2, all the coordinate should be multiplied by 1/2 instead of 2.

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, rotation, translation and dilation.

Dilation is the increase or decrease in the size of a figure.

If there is a dilation with a scale factor of 1/2, all the coordinate should be multiplied by 1/2 instead of 2.

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0.116 must be the probability that an american woman age 20 to 24 was infected via injection drug use.

In the given question,

The centers for disease control and prevention receives information about the causes for HIV/AIDS infection in the united states displayed are the causes of infection and their respective probability among american women age 20 to 24 years.

Cause                        Probability

Injection drug use         ?

heterosexual sex        0.664

perinatal infection       0.125  

other causes               0.095

This is a legitimate probability model.

Therefore, we have to find the probability that an american woman age 20 to 24 was infected via injection drug use.

There is given probability of infection from heterosexual sex, perinatal infection and other causes.

As we know that the sum of all probability should be 1.

So the total probability of infection through the given cause is

Total Probability = 0.664+0.125+0.095

Total Probability = 0.884

So the probability of infection via injection drug use

Probability of injection drug use = 1−Total Probability

Probability of injection drug use = 1−0.884

Probability of injection drug use = 0.116

Hence, 0.116 must be the probability that an american woman age 20 to 24 was infected via injection drug use.

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Answer:

7 + x ≤ 15

Step-by-step explanation:

You can use the same technique I showed in another one of your questions (24467305).

Partial fractions:

\(\dfrac2{(2n-1)(2n+1)} = \dfrac a{2n-1} + \dfrac b{2n+1} \\\\ \implies 2 = a(2n+1) + b(2n-1) = (2a+2b)n + a- b \\\\ \implies \begin{cases}2a+2b=0 \\ a-b = 2\end{cases} \implies a = 1, b=-1\)

Then we have a telescoping sum,

\(S = \displaystyle \sum_{k=1}^n \frac 2{(2k-1)(2k+1)} \\\\ S = \sum_{k=1}^n \left(\frac1{2k-1} - \frac1{2k+1}\right) \\\\ S = 1-\frac13 + \frac13 - \frac15 + \cdots +\frac1{2n-3}-\frac1{2n-1}+\frac1{2n-1}-\frac1{2n+1} \\\\ S = 1 - \frac1{2n+1} = \boxed{\frac{2n}{2n+1}}\)

(And in case you were actually interested in an infinite sum, we can see that this converges to 1 as n goes to ∞.)

Answer:

900

Step-by-step explanation:

1.analyze problem

2. 30/13*390

3.900

Answer:

1/7

Report if wrong :)

Step-by-step explanation:

Also, I plead the 5th

Answer and Step-by-step explanation:

The probability of rolling a single 6-sided dice one time is 0% or 0/6.

This is because 7 is not a number/side on a 6-sided die.

If the single dice has 7 sides, then it would be 1/7 chance.

#teamtrees #PAW (Plant And Water)

The probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

Let the given values be

\(\mu\) = 99, \($\sigma\) = 8

Let x be the random variable that represents the life of a computer.

Sample size: n = 69

Then, the z-score corresponds to x = 97.94 will be :-

\($z=\frac{97.94-99}{\frac{8}{\sqrt{69}} \quad[\because} \quad z=\frac{x-\mu}{\left.\frac{\sigma}{\sqrt{n}}\right]}$\)

z = -1.10062

Required probability ( using standard z-value table ) :-

P(x < 97.94) = P(z < -1.10) = 1 - P(z < 1.10)

= 1 - 0.1170 = 0.883

Therefore, the probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.

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Answer:

The common ratio is 1/2

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

8/16 = 1/2

We can check by the third term by the second term

4/8 = 1/2

Answer:

1/2 for APX

Step-by-step explanation:

Answer:

Step-by-step explanation:

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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An upper bound on the error that can result from approximating cos(x) by 1−(x^2/2!) + (x^4/4!) over the interval [-0.7, 0.7] is 0.00567.

The Taylor series expansion for cos(x) is given by cos(x) = 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + ... . The approximation 1−(x^2/2!) + (x^4/4!) is a truncated version of this series. The error between the actual value of cos(x) and the approximation can be estimated using the Lagrange form of the remainder term, which gives an upper bound on the error.

In this case, the Lagrange remainder term is given by Rn(x) = (f^(n+1)(c)/n+1!) * (x-x0)^(n+1), where f^(n+1)(c) is the (n+1)th derivative of cos(x) evaluated at some point c in the interval [-0.7, 0.7].

The maximum value of Rn(x) over the interval [-0.7, 0.7] occurs when x = ±0.7, and the upper bound on the error is found by evaluating Rn(±0.7).

The resulting upper bound is approximately 0.00567.

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Answer:

The graph for y = (1/2)x + 1 is C.

Step-by-step explanation:

y = (1/2)x + 1

This line has a slope of 1/2.  That is a positive line, so option A is incorrect.  It also has a y-intercept of 1.  The value of y when x is zero is 1.  There are two graphs in which the line intersects (0,1):  A and C.  But A has already been rejected, so it must by Graph C:  

Double check this to see if the slope is 1/2.  Does y increase by 1/2 for every step of 1 on x?  Graph C:

x     y

-2     0

-1      1/2

0       1

+1      1 1/2

+2      2

Yes:  Y increases by (1/2) for every x increase of 1.

The graph for y = (1/2)x + 1 is C.

Answer:

Are you in Mr. Burg...'s class?  I have no clue what the answer is though.

Step-by-step explanation:

A table of t-values to estimate the P-value for the specified one-mean t-test. Two-tailed test, n = 21, t = -2.509 because we reject the null hypothesis and conclude that there is significant evidence to support the alternative hypothesis. The correct option is a.

To estimate the P-value for the specified one-mean t-test, we need to refer to a table of t-values. Given that it is a two-tailed test with a sample size of 21 and a calculated t-value of -2.509, we need to find the area in both tails beyond -2.509.

Looking up the t-value of -2.509 in the t-table, we find that the closest value is -2.528 for degrees of freedom (df) equal to 20. Since the table usually provides critical values for specific significance levels, we need to find the corresponding significance level for -2.528.

Comparing the t-value of -2.528 with the values in the table, we see that it falls between the critical values for a significance level of 0.02 and 0.05. Therefore, the P-value for the specified t-test is between 0.02 and 0.05. Thus, the correct answer is option a.

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The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.

In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).

Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

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Answer:

3x + 3(-8x - 24) = 12

3x - 24x - 72 = 12

-21x - 72 = 12

-21x - 72+72 = 12+72

-21x = 84

-21x/-21 = 84/-21

x = -4

(-4,-24)

The required solution to the given system of equations is (-4,8).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of equations is given in the question

y = -8x – 24   ....(i)

3x + 3y = 12   ....(ii)

Substitute the value of equation (i) in equation (ii), and solve for x

3x + 3(-8x - 24) = 12

3x - 24x - 72 = 12

-21x - 72 = 12

-21x - 72+72 = 12+72

-21x = 84

x =  -84/21

Apply the division operation,

x = -4

Substitute the value of x = -4 in equation (i), and solve for y

y = -8(-4) – 24

y = 32 - 24

y = 8

Therefore, the required solution to the given system of equations is (-4,8).

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Answer:

m∠XBC = 135

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA

3p – 6 = p + 4 + 84

3p – 6 = p + 88

2p – 6 = 88

2p = 94

From the simplified expression, we need to find the value of p first

From the last line we can see that;

2p =94

Divide both sides by 2:

2p/2 =94/2

p = 47

From the expression, m∠XBC =3p-6

m∠XBC = 3(47)-6

m∠XBC = 141 -6

m∠XBC = 135

Hence the measure of m∠XBC is 135