In ΔUVW, w = 1. 4 cm, m m∠W=63° and m m∠U=29°. Find the length of v, to the nearet 10th of a centimeter

Answer: 5 cents

Step-by-step explanation:

Let's assume the ball costs "x" dollars.

According to the problem, the bat costs a dollar more than the ball, which means the bat costs "x+1" dollars.

Together, the bat and ball cost $1.10.

So, we can add the cost of the ball and bat:

x + (x+1) = 1.10

Combining like terms, we get:

2x + 1 = 1.10

Subtracting 1 from both sides:

2x = 0.10

Dividing both sides by 2:

x = 0.05

Therefore, the ball costs 5 cents.

Answer:

you should use words that can help some people can,t under stand so this is what

The first option is correct. There is no significant difference in the purchasing patterns across career types

In order for a dataset to be a valid representation of the total population, it needs to be collected in a way that ensures that it is a fair and accurate sample of the population.

One way to ensure this is through random sampling, where individuals are selected to participate in the study without any bias or preconceived notions about their characteristics. This helps to reduce the potential for selection bias and ensures that the sample is representative of the larger population.

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Answer:

D. Normality of the estimator (e.g., sample mean)

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The question was incomplete. Check below the complete question.

Which of the following is the necessary condition for creating confidence intervals for the population mean? A. Known population parameter B. Normality of the population C. Known standard deviation of the estimator D. Normality of the estimator (e.g., sample mean)

Answer:

1.09 seconds

Step-by-step explanation:

I need the image that I am going to attach to solve the exercise.

We have the following information:

Confetti height from the ground is 25 feet

Person's height is 6 feet

So, the distance that the confetti would fall would be the subtraction of these heights, that is:

25-6 = 19 feet

d = 19 feet

We use the 5th equation of the attached image:

t = d ^ (1/2) / 4

replacing:

t = 19 ^ (1/2) / 4

t = 1.09 seconds

Answer:

\(x \geq 7\)

Step-by-step explanation:

First inequality

\(-27 > -4x - 7\\\to 4x > 20\\\to x > 5\)

Second inequality

\(-35 \geq -4x - 7\\\to 4x \geq 28\\\to x \geq 7\)

We are given that x is greater than 5 and greater or equal to 7.
We can summarize this down to \(x \geq 7\)

Answer:

Inequality notation: [7, ∞)

Number Line:

7 (closed dot), point towards positive infinity.

Step-by-step explanation:

-27 > -4x - 7 and -35 ≥ -4x - 7

+7            +7         +7            +7

------------------        ------------------

-20 > -4x               -28 ≥ -4x

÷-4     ÷-4                ÷-4   ÷-4

---------------            ---------------

5 < x                        7 ≤ x or x ≥ 7

Inequality notation includes the numbers that are included or the"≥" symbol.

Number line:

                                      --------->

<------------------------------|------------>

                                    7

I hope this helps!

Answer:

  see attached

Step-by-step explanation:

Points are plotted on a coordinate grid by recognizing the meaning of the numbers in the ordered pair.

The first number is the x-coordinate, the horizontal distance from the y-axis. The second number is the y-coordinate, the vertical distance from the x-axis. Positive numbers indicate "right" or "up". Negative numbers indicate "down" or "left."

The mark is 3.5 units left of the y-axis and 4 units down from the x-axis.

__

The mark is neither left nor right of the y-axis, so is on the y-axis. It is 4.5 units down from the x-axis.

Answer:

9

Step-by-step explanation:

1. Just input the x value with -180:

24 (+) -180 / 12 = answer

2. Follow PEMDAS to solve, which in this case division comes before addition:

24 + (-180 / 12)

24 + (-15)

3. Addition

24 + (-15) or 24 - 15

= 9

Therefore, 24 (+) -180 / 12 equals 9.

When the ice cream is allowed to melt, the cone's 6 cm height will be able to hold the entire container.

A sphere has a spherical, symmetrical shape. On the basis of its radius, it has a surface area and a volume. The set of all points in three-dimensional Euclidean space that are separated by a certain amount of space, or "radius," is known as a sphere (the "center"). The diameter of a sphere is equal to twice its radius, and pairs of locations on its opposing sides are referred to as antipodes.

given

The formula for the volume of a sphere would be used to calculate the volume of the ice cream scoop.

A sphere's volume is equal to 4/3 x pi x r^3.

= 4/3 x 22/7 x 1.5^3 = 14.14 cm³

The following equation can be used to calculate the cone's height:

The scoop's volume is equal to (1/3 xπ x r2).

14.14 / (1/3 x 1.5² x 22/7) = 6 cm

When the ice cream is allowed to melt, the cone's 6 cm height will be able to hold the entire container.

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Answer:

correct frequency is A

Step-by-step explanation:

There is a frequency table and no. of vegtables eating for 36 days so we write fill the table as

So the correct frequency is A which fulfill every frequency of no.

Let's solve each equation step by step:

1. x = 11

  This equation states that x is equal to 11. There are no variables on the right side of the equation, so this is a straightforward solution.

2. x = 3

  Similar to the previous equation, x is equal to 3. Again, there are no variables on the right side.

3. \(x = \frac{1}{2}\)

  This equation states that x is equal to \(\frac{1}{2}.\) Once again, there are no variables on the right side.

4. 2(x-5) + 7 = x + 8

  To solve this equation, we will simplify both sides:

  2x - 10 + 7 = x + 8

  2x - 3 = x + 8

  Subtracting x from both sides:

  2x - x - 3 = x - x + 8

  x - 3 = 8

  Adding 3 to both sides:

  x - 3 + 3 = 8 + 3

  x = 11

5. \(\frac{1}{2}x + \frac{1}{4} = \frac{1}{4}\)

  To solve this equation, we will eliminate the fractions by multiplying both sides by the least common denominator, which is 4:

  4 * (\(\frac{1}{2}x\) + \(\frac{1}{4}\)) = 4 * (\(\frac{1}{4}\))

  2x + 1 = 1

  Subtracting 1 from both sides:

  2x + 1 - 1 = 1 - 1

  2x = 0

  Dividing both sides by 2:

  x = 0

6. \(\frac{1}{2}\)(x+8) + \(\frac{3}{2} x\) = 10

  To solve this equation, we will first distribute the \(\frac{1}{2}\):

  (\(\frac{1}{2}\) * x) + (\(\frac{1}{2}\) * 8) + (\(\frac{3}{2}\)* x) = 10

  \(\frac{1}{2}x\) + 4 + \(\frac{3}{2} x\) = 10

  Combining like terms:

  \(\frac{1}{2} x + \frac{3}{2} x + 4 = 10\)

  2x + 4 = 10

  Subtracting 4 from both sides:

  2x + 4 - 4 = 10 - 4

  2x = 6

  Dividing both sides by 2:

  x = 3

In summary, the solutions to the given equations are:

x = 11

x = 3

\(x = \frac{1}{2}\)

x = 0

x = 3

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The value of f(7.5) of the exponential function is 86.84

The general form of an exponential function is given by:

f(x) = abˣ

Since f(x) is an exponential function, and f(4)=21 and f(4.5)=47. We can write that:

21 = ab⁴   --- (1)

47 = ab⁴°⁵  --- (2)

Divide (2) by (1):

47/21 = b⁴°⁵⁻⁴

47/21 = b⁰°⁵

b =√(47/21)

b = 1.50

Put b = 1.5 into (1):

21 = ab⁴

21 = a(1.5)⁴

a = 21/(1.5)⁴

a = 4.15

So the exponential function f(x) = 4.15(1.50)ˣ

To find the value of f(7.5), put  x = 7.5 into the exponential function:

f(x) = 4.15(1.50)ˣ

f(7.5) = 4.15(1.50)⁷°⁵

f(7.5) = 86.84

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The p-value is less than alpha (α), reject the null hypothesis;  fail to reject the null hypothesis. The given data represents the number of words spoken by eight different randomly selected couples

The hypothesis tests are used to evaluate the claims about the parameters of the population. In hypothesis testing, we assume a null hypothesis and test whether the null hypothesis is supported by the sample data or not. The following are the steps of hypothesis testing:

Step 1: Specify the null and alternative hypotheses. The null hypothesis is a statement of no effect or no difference. The alternative hypothesis is the opposite of the null hypothesis.

Step 2: Determine the level of significance. It is denoted by alpha (α) and represents the probability of making a type-I error.

Step 3: Identify the test statistic. The test statistic is a measure of how far the sample statistic deviates from the null hypothesis.

Step 4: Calculate the p-value. The p-value is the probability of obtaining a sample statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true.

Step 5: Make a decision and interpret the results. If the p-value is less than alpha (α), reject the null hypothesis; otherwise, fail to reject the null hypothesis. The given data represents the number of words spoken by eight different randomly selected couples.

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the dimensions of the dumpster that will minimize its surface area

length l = 6.32

width w =  1.58

height h = 0.39

Length = l

width = w

height = h

given that length is four times its width

l = 4w

Now, the formula for the surface area of a cube is;

S = 2lh + 2lw + 2wh

substitute l = 4w in the above equation

S = 2(4w)h+2(4w)w+2wh

S = 8wh+8\(w^{2}\)+2wh

S = 10wh + 8\(w^{2}\)

formula for the volume of a cube is;

V = lwh

now substitute l=4w in the above equation

V = (4w)wh

V = 4\(w^{2}\)h

h = 4\(w^{2}\)/V

Put V/2w² for h in the surface area equation to get;

S= 8w² + 10w(V/4w²)

 = 8w² + 5V/2w

given that volume V = 25.6 substitute that in the above equation

S = 8w² + 5(25.6)/2w

  = 8w² + 128/2w

Since we want to minimize the surface area, let us find the first derivative of S to get;

S' = 16w - 128/2w²

At S' = 0

0 = 16w-  128/2w²

16w =  128/2w²

32w³ = 128

w³ = 128/32

w³ = 4

w = \(\sqrt[3]{4}\)

w = 1.58 yds

since l = 4w substitute the value of w in that

l = 4(1.58) = 6.32

h = 4\(w^{2}\)/V = 4(\(1.58^{2}\))/25.6

h = 0.39

the dimensions are

length l = 6.32

width w =  1.58

height h = 0.39

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Answer:

They saved up $51.91

33.57 + 21.34 = 51.91

Answer:

352 is the answer.

Step-by-step explanation:

28000-13900

and then you need to divide by 40.

you will get 352.5

but the maximum is 352.

MARK BR Brainliest

In order to find the maximum weight, first we need to find the value of z that corresponds to the upper 4.5%.

To do so, let's find the value of z with a score of:

Looking at the z-table, the value of z for a score of 0.955 is equal to 1.695.

Now, to find the maximum weight x, we can use the formula below:

Where μ is the mean and σ is the standard deviation.

So, using the given values, we have:

Rounding to two decimal places, we have a weight of 28.58 ounces.

Answer:

Options B and C

Step-by-step explanation:

Here, we want to select the set of points in which the difference between their vertical distance is less than 6 units

Let us consider the options one after the other;

A. 1-4-(-5) = 6.4

B. 0.2-(-1.6) = 0.2 + 1.6 = 1.8

C. 2.5-(-3) = 5.5

D. 7-(-1) = 7 + 1 = 8

So we can see that the options B and C are separated by vertical distance less than 6

The approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6

To find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches, we will first calculate the surface area (SA) and volume (V) of the ball, and then divide the surface area by the volume.

Step 1: Calculate the surface area (SA) using the formula for the surface area of a sphere:

\(SA = 4 πr^2\)
\(SA = 4 π5^2\)
\(SA = 4 π(25)\)
\(SA=100π\)

Step 2: Calculate the volume (V) using the formula for the volume of a sphere:

\(V = \frac{4}{3} π (r)^{3}\)
\(V = \frac{4}{3} π (5)^{3}\)
\(V = \frac{4}{3} π (125)\)
V = 166.67 π cubic inches

Step 3: Calculate the surface-area-to-volume ratio (SA/V)
\(\frac{SA}{V} = \frac{100}{166.67}\)
\(\frac{SA}{V}=\frac{100}{166.67}\)

\(\frac{SA}{V}= 0.6\)

So the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6. The best answer from the choices provided is A.

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15.

\(( {4}^{4} ) {}^{3} \)

\( = {4}^{4 \times 3} \)

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

\( = 16777216\)

___________________________________________

16.

\( \frac{ {3}^{12} }{ {3}^{3} } \)

\( = {3}^{12 - 3} \)

\( = {3}^{9} \)

\( = 19683\)

___________________________________________

17.

\( {4}^{5} \times {4}^{2} \)

\( = {4}^{(5 + 2)} \)

\( = {4}^{7} \)

\( = 16384\)

___________________________________________

18.

\( {6}^{4} \times {2}^{4} \)

\( = ({6 \times 2})^{4} \)

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

\( = 20736\)

Answer:

i think it is b not 100% sure srry if its wrong.

Step-by-step explanation:

Answer:

3x+8=35

3x= 35-8

3x= 23

x=23/3

The minimal sample size needed for a 95% confidence interval to have a maximal margin of error of 0.1 in the following scenarios are,

a preliminary estimate for p is 0.33 is the sample is n=76.

there is no preliminary estimate for p the sample size is \($n=97$\).

As per the question Margin of Error=0.1

E=0.1

At \($95 \%$\) confidence level the \($z$\) is,

\($$\begin{aligned}& \alpha=1-95 \%=1-0.95=0.05 \\& \frac{\alpha}{2} =\frac{0.05}{2} =0.025 \\& Z_{\frac{\alpha}{2} }=Z_{0.025}=1.96\end{aligned}$$\)

\($$Z_{\frac{\alpha}{2} }=1.96$\\\\(a)$\dot{\mathbf{p}}=0.33$$\)

We have to determine the sample size :

\($$\mathrm{n}=\left(\frac{Z_{\frac{a}{2}}}{\mathrm{E}}\right)^2 \times \hat{\mathrm{p}} \times(1-\hat{\mathrm{p}})=\left(\frac{1.96}{0.1}\right)^2 \times 0.33 \times 0.73=76$$\)

\($n=76$\)

Therefore the size of the sample is n=76

b) There is no preliminary estimate for p

So we will consider,

\($\dot{\mathbf{p}}=0.5$$\)

Sample size is,

\($$\mathrm{n}=\left(\frac{1.96}{0.1}\right)^2 \times 0.5 \times 0.5=97$$\)

Therefore the sample size is \($n=97$\)

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The following is correct: The system is linear. The correct option is D

A system is considered linear if it satisfies the principles of homogeneity and superposition. Let's examine the given equation y = -2x + 0.

Principle of Homogeneity: A system satisfies homogeneity if scaling the input results in a proportional scaling of the output. In other words, if y(t) is the output for input x(t), then for any constant 'a,' the output for 'a * x(t)' should be 'a * y(t)'. Let's check this property for the given equation:

For a constant 'a':

y(at) = -2(at) + 0

y(at) = -2ax + 0

Now, we see that the output for 'a * x(t)' is 'a * y(t)'. Hence, the system satisfies the principle of homogeneity.

Principle of Superposition: A system satisfies superposition if the output for the sum of two inputs is equal to the sum of the outputs for each individual input. Mathematically, if y1(t) is the output for x1(t) and y2(t) is the output for x2(t), then for any constants 'c1' and 'c2', the output for 'c1 * x1(t) + c2 * x2(t)' should be 'c1 * y1(t) + c2 * y2(t)'.

In the given equation, y = -2x + 0, the output for 'c1 * x(t) + c2 * x(t)' is '-2(c1 + c2) * x(t) + 0', which can be simplified to 'c1 * y(t) + c2 * y(t)'. Hence, the system satisfies the principle of superposition.

Since the system satisfies both the principles of homogeneity and superposition, it is linear (option D).

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By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

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The answer is yes, there exists a vector field g on ℝ³ such that curl g = x sin(y), cos(y), z − 7xy, because the divergence of the curl is always zero.

To determine if there exists a vector field g on ℝ³ such that curl g = x sin(y), cos(y), z − 7xy, we need to check if the divergence of the curl of g is zero.

The divergence of a curl is always zero, meaning that div(curl g) = 0 for any vector field g. This is a fundamental property of vector calculus known as the "curl-free property."

Therefore, since the given vector field g has curl g = x sin(y), cos(y), z − 7xy, the divergence of the curl, div(curl g), is always zero regardless of the specific form of g.

So, the answer is yes, there exists a vector field g on ℝ³ such that curl g = x sin(y), cos(y), z − 7xy, because the divergence of the curl is always zero.

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The discount price at each store will depend on the regular price and the amount of the discount offered, and it is not possible to determine which store will have the lower discount price without knowing these factors.

It is not necessarily true that the discount price at store M will be less than the discount price at store L. The relative discount prices will depend on the amount of the discount applied by each store.

For example, let's say that the regular price of the product at store L is $100 and the regular price at store M is $120. If store L offers a 20% discount, the discount price would be $80.

If store M offers a 15% discount, the discount price would be $102. Therefore, in this case, the discount price at store L is less than the discount price at store M.

On the other hand, if store L offers only a 10% discount, the discount price would be $90. In this case, the discount price at store M would be less than the discount price at store L.

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The average number of intersections the traffic engineer would need for each type of traffic signal to reject the null hypothesis at the 0.01 level of significance with a power of 0.90 is six

To test the effectiveness of these signals, the engineer must reject the null hypothesis, which states that there is no significant difference in the mean delays between the three types of signals. The engineer wants to reject the null hypothesis at the 0.01 level of significance with a power of 0.9. In other words, they want to be 90% sure that they can detect a significant difference if it exists.

Using the data provided in the study, the engineer can calculate the sample size needed for each type of signal. They need at least five intersections for pretimed signals, six intersections for semi-actuated signals, and four intersections for fully actuated signals to reject the null hypothesis at the desired level of significance with a power of 0.9.

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Answer: The only reason would be the benefits of a mortgage plan. which includes, helping you to maintain your credit score, money available to you when need for curtain life decisions, and there are many tax benefits that come with a mortgage plan! Hope this helps! best of luck!