This square-based pyramid is made of wire.
The edges of the base all have length 3.07 cm.
The other edges all have length 6.93 cm.
Find the total length of wire.

the measure of the exterior angle ECD is 140 degrees.

Answer:

110°

Step-by-step explanation:

The sum of the angles in a triangle is equal to 180°

So, 2x°+3x°+(3x+4)°=180°

8x°+4°=180°

8x°=180°- 4°

8x°=176°

x°=22°

The exterior angle theorem states that when a triangle's side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle.

So, the exterior angle is 2x°+3x°=5x°

As we got x°=22°, then 5x°=5×22°=110°

The amount that each charity gets is $25.

The charity raise simply define as we raise funds in the form of small amounts of money from a huge crowd of people within a specific period of time.

For example, if 100 people donate $50 each to your crowdfunding campaign in two weeks, you will be able to raise $5000.

To find the amount that each charity got, we have to divide the total charity amount raised in the proportion given, i.e., 1/6.

Each charity gets 1/6 of the total amount raised, which is $150.

So, we need to divide $150 by 6:

$150 ÷ 6 = $25

Therefore, each charity received $25.

To know more about charity

https://brainly.com/question/30667130

#SPJ4

The value of k at equilibrium is 1.
In the Solow model, the equilibrium level of capital per worker (k*) occurs when the change in capital per worker is zero. This can be found by setting the investment per worker equal to the effective depreciation.

Given that the production function is f(k) = 2k^0.5, the saving rate is s = 0.25, the population growth rate is n = 0.1, and the depreciation rate is d = 0.4, we can find the equilibrium value of k as follows:

Step 1: Calculate investment per worker (I)
I = s * f(k) = 0.25 * 2k^0.5 = 0.5k^0.5

Step 2: Calculate effective depreciation per worker (Dep)
Dep = (n + d) * k = (0.1 + 0.4) * k = 0.5k

Step 3: Set investment per worker equal to effective depreciation per worker to find the equilibrium value of k
0.5k^0.5 = 0.5k

Step 4: Solve for k
Divide both sides by 0.5:
k^0.5 = k

Square both sides:
k = k^2

Rearrange the equation to solve for k:
k^2 - k = 0
k(k - 1) = 0

There are two possible solutions for k: k = 0 and k = 1. However, k = 0 is not a meaningful solution in the context of the Solow model, so the equilibrium value of k is:
k* = 1

Learn more about Solow model here: brainly.com/question/29858691

#SPJ11

The ratio of the probability of flipping a tail to the probability of flipping a head when the probability of getting three heads is the same as the probability of getting exactly two tails in three flips is 1/3.

Let p be the probability of flipping a head and q be the probability of flipping a tail.

The probability of getting three heads in three flips is [tex](p)^3.[/tex]

The probability of getting exactly two tails in three flips is 3pq².

Given that these probabilities are equal, we have:

[tex](p)^3[/tex]= 3pq²

Simplifying this equation gives:

p = 3q

Dividing both sides by q gives:

p/q = 3

Therefore, the ratio of the probability of flipping a tail to the probability of flipping a head is 1/3.

Learn more about Probability

brainly.com/question/30034780

#SPJ11

Answer:

28 kilometers

Step-by-step explanation:

They both have the same area.

8*5 = 40

4*10 = 40

Multiplying 4 and 10 gets both rectangles to have the same area.

They are asking for the perimeter so it'll be 28.

4 + 4 + 10 + 10 = 28

Answer:

Step-by-step explanation:

is an opposite angle, therefore congruent, same value 45°

Answer:

45

Step-by-step explanation:

hello, the answer is 45

The null hypothesis in the chi-square test for independence is true, there should be little difference between a and b the observed and expected frequencies.

This indicates that the variables being analyzed are independent of each other.

Chi-square test for independence, the null hypothesis assumes that there is no relationship between two categorical variables being analyzed.

Variables are independent of each other.

Assumption is true, there should be no significant difference between the observed frequencies and the expected frequencies.
Expected frequencies are calculated by multiplying the row and column marginal frequencies and dividing by the total number of observations.

The observed frequencies are the actual frequencies observed in the data.
Therefore, when the null hypothesis is true, the difference between the observed frequencies and the expected frequencies should be minimal or little.

The chi-square statistic is calculated by comparing the observed and expected frequencies and testing whether the difference is significant or due to chance.
If there is a large difference between the observed and expected frequencies, this indicates that there may be a relationship between the variables being analyzed.

This would lead to rejecting the null hypothesis and concluding that the variables are not independent.
It is important to note that while there should be little difference between the observed and expected frequencies when the null hypothesis is true, there may still be some minor differences due to sampling variability.

p-value to determine the statistical significance of the results.

For similar questions on Variable

https://brainly.com/question/82796

#SPJ11

The probability that a car can complete the transaction in less than 5 minutes is approximately 0.578 or 57.8%.

Since the times required by drivers to fill their car's tank and pay are exponentially distributed with a mean of 6 minutes, we can use the exponential distribution formula to find the probability that a car can complete the transaction in less than 5 minutes:

P(X < 5)

where X is the time required for a car to complete the transaction.

To find P(X < 5), we can use the cumulative distribution function (CDF) of the exponential distribution, which is:

F(x) = 1 - e^(-λx)

where λ is the rate parameter of the distribution. For an exponential distribution with mean μ, the rate parameter λ is equal to 1/μ.

So, in our case, λ = 1/6 and we can calculate P(X < 5) as:

P(X < 5) = F(5) = 1 - e^(-1/6 × 5) ≈ 0.578

In other words, there is a 57.8% chance that a car will finish filling its tank and paying within 5 minutes at this gas station.

To learn more about probability click on,

https://brainly.com/question/29221515

#SPJ4

Answer:

  2

Step-by-step explanation:

You want the average rate of change of f(x) = -x² -2x +6 on the interval [-7, 3].

The average rate of change of f(x) on the interval [a, b] is computed as ...

  m = (f(b) -f(a))/(b -a)

For the given function f(x), this is ...

  m = (f(3) -f(-7))/(3 -(-7)) = (-9 -(-29))/10 = 20/10 = 2

The average rate of change of f(x) on the interval [-7, 3] is 2.

__

Additional comment

The derivative of the function is f'(x) = -2x -2. The midpoint of the interval is x = (-7 +3)/2 = -2. The value of the derivative at the midpoint is equal to the average rate of change on the interval:

  -2(-2) -2 = 4 -2 = 2 . . . . average slope between x=-7 and x=3.

<95141404393>

Therefore , the solution of the given problem of circle comes out to be  it can be inferred from the circle graph that for 165 residents, Walk and Streetcar .

Each aeroplane component creates a circle when viewed from this new angle and at a distance. (center). Its structure is made up of surfaces and wavy regions that contrast with one another. Within the core, it rotates uniformly in every direction as well. The "center" of a circular or restricted double sphere remains constant throughout all ultimate extensions.

Here,

This conclusion may be taken from the circle graph's data, which reveals that 15% of the sample favoured the streetcar and 40% preferred walking.

By combining these two figures, we get a sample preference for walking or using the streetcar of

=> 40% + 15% = 55%.

Since there are 300 residents in the sample,

=> 55% of 300 = 0.55 x 300, or 165 residents.

As a result, it can be inferred from the circle graph that for 165 residents, Walk and Streetcar together represent their favourite mode of transportation.

To know more about circle visit:

https://brainly.com/question/29142813

#SPJ1

Part A: A dot plot would best represent the data shown because a dot plot shows each data point as a dot along a number line, making it easy to see the frequency of each individual score.

Part B: we follow the steps described below to plot a dot plot:

What is a dot pot?

A dot chart or dot plot is  described as a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles.

The stacked dots in the plotted graph reflect the frequency of each score, and the dots themselves represent the individual scores.

The figure reveals that 4 and 3 were the most frequent scores, respectively, and that a score of 12 was an exception.

Learn more about dot plots at: https://brainly.com/question/24309209

#SPJ1

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.

Learn more about discount price.

brainly.com/question/11993645

#SPJ11

Therefore, while these results do suggest that there may be a difference in SAT Critical Reading scores between students who learned English and another language simultaneously and the general population, further research is needed to understand the extent and causes of this difference.

Based on the information provided, it seems that students who learned English and another language simultaneously score lower on the SAT Critical Reading exam than the general population of test takers. The mean score of the general population is 501, while the mean score of the sample of 100 test takers who learned English and another language simultaneously is 485. This is a difference of 16 points, which could be considered statistically significant.

However, it is important to note that the standard deviation of the sample is quite high at 116. This suggests that there is a lot of variability in the scores of students who learned English and another language simultaneously, which could be due to a variety of factors such as differences in language proficiency or educational background.

Therefore, while these results do suggest that there may be a difference in SAT Critical Reading scores between students who learned English and another language simultaneously and the general population, further research is needed to understand the extent and causes of this difference.

learn more about SAT Critical Reading scores

https://brainly.com/question/18687674

#SPJ11

The results do not provide sufficient evidence to suggest that students who learn English and another language simultaneously score worse on the SAT critical reading exam than the general population of test takers.

We will use the terms: mean, standard deviation, sample size, and hypothesis testing.
Mean score among all test takers: 501
Mean score of the bilingual students' sample: 485
Standard deviation of the bilingual students' sample: 116
Sample size: 100.
To determine if bilingual students score worse on the SAT critical reading exam, we will conduct a hypothesis test.
Formulate the hypotheses
Null hypothesis (H0):

Bilingual students' mean score = General population mean score
Alternative hypothesis (H1):

Bilingual students' mean score < General population mean score
Calculate the test statistic
Test statistic = (Sample mean - Population mean) / (Standard deviation / sqrt(Sample size))
Test statistic = (485 - 501) / (116 / sqrt(100))
Test statistic = -16 / 11.6
Test statistic ≈ -1.38
Determine the critical value and significance level
We'll use a one-tailed test with a significance level (α) of 0.05. Using a standard normal (Z) table, the critical value is -1.645.
Compare test statistic to critical value
Since our test statistic (-1.38) is greater than the critical value (-1.645), we fail to reject the null hypothesis.

For similar question on evidence.

https://brainly.com/question/28446728

#SPJ11

a. The probability that the current component has been in operation for at least 50 hours is 0.5

b. The probability that the current component will last for at least 50 more hours is also 0.5.

(a) The probability that the current component has been in operation for at least 50 hours is given by the cumulative distribution function (CDF) of the uniform distribution on [100, 200] evaluated at 50.

The CDF of a uniform distribution on [a, b] is given by:

F(x) = (x - a) / (b - a) for a <= x <= b

F(x) = 0 for x < a

F(x) = 1 for x > b

Therefore, in this case, the CDF is:

F(x) = (x - 100) / 100 for 100 <= x <= 200

F(x) = 0 for x < 100

F(x) = 1 for x > 200

So the probability that the current component has been in operation for at least 50 hours is:

P(ti >= 50) = 1 - F(50) = 1 - ((50 - 100) / 100) = 0.5

(b) The probability that the current component will last for at least 50 more hours is also given by the CDF of the uniform distribution on [100, 200], but evaluated at 150 instead of 50.

That is,

P(ti >= 150) = F(150) = (150 - 100) / 100 = 0.5.

For similar question on probability.

https://brainly.com/question/27990975

#SPJ11

The measure of the interior angle is 180 - 40 or 140 because each exterior angle and the matching interior angle form a linear pair.

Angle is a geometric figure formed by two rays that have a common endpoint, called the vertex. Angles are measured in degrees, with 360° in a full circle. Angles are used in math, physics, and engineering to measure lengths, angles, and directions. Angles are also used in everyday life to describe a direction or position, such as when we say something is “at an angle”.

There are nine congruent exterior angles on the a convex regular nonagon. 9n = 360, n equals the total of all external angles, and n = 40. each side by nine. Each external angle is 40 degrees in size.

The measurement of the interiors angle is 180 - 40 or 140 because each exterior angle and the matching interior angle form a linear pair.

To know more about angles click-
https://brainly.com/question/25716982
#SPJ1

The inequality graphed is given as follows:

y ≥ x² - 4x - 5.

The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:

The roots of the parabola are given as follows:

x = -1 and x = 5.

Hence:

y = a(x + 1)(x - 5)

y = a(x² - 4x - 5).

When x = 0, y = -5, hence the leading coefficient a is given as follows:

-5a = -5

a = 1.

The part above is painted, with a solid line, hence the inequality is given as follows:

y ≥ x² - 4x - 5.

More can be learned about inequalities at brainly.com/question/25275758

#SPJ1

Three shoppers are in the elevator of a department store. the anticipated number of stops the lift makes sometime recently the three customers have all cleared out the lift is 21/4, or 5.25 stops on normal.

E(X) = ∑ x P(X = x) where the summation is over all conceivable values of X, and P(X = x) is the likelihood that X takes on the esteem x.

The conceivable values of X are 3, 4, and 5, The likelihood that X = k for k ≥ 3 is the likelihood that the three customers will have all left the lift after k stops, which is 7/8 times the Probability that they have not all cleared out after k - 1 stops. That's, P(X = k) = (7/8) P(X = k-1)

Utilizing this recursive relationship, ready to compute the probabilities of X taking on each conceivable esteem: P(X = 3) = 7/8

P(X = 4) = (7/8)(1/8) = 7/6

P(X = 5) = (7/8)(7/64) = 49/512

P(X = 6) = (7/8)(49/512) = 343/4096

Presently we are able to utilize the equation for anticipated esteem to discover E(X): E(X) = ∑ x P(X = x)

= 3(7/8) + 4(7/64) + 5(49/512) + 6(343/4096) + ...

= ∑ (3/2)[tex]^{k}[/tex] (7/8)[tex]^{k}[/tex]

= (7/8) (3/2) / (1 - 3/2)

= (7/8) (3/2) / (1/2)

= 21/4

To learn about Probability visit:

https://brainly.com/question/30034780

#SPJ4

Based on the p-value of 0.21,  the researcher should conclude that option (D) The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

A p-value of 0.21 means that if the null hypothesis (the hypothesis that there is no significant difference between groups or no significant relationship between variables) is true, there is a 21% chance of obtaining a test statistic as extreme as the one observed or more extreme.

In general, a p-value of 0.05 or less is considered statistically significant, which means that the probability of obtaining a test statistic as extreme as the one observed or more extreme is less than 5% if the null hypothesis is true. In this case, since the p-value is greater than 0.05, the null hypothesis cannot be rejected and the result is not statistically significant.

Option A is incorrect because multiplying the p-value by 2 assumes a two-tailed test, which may not be the case. Option B is incorrect because a significance level of 0.5 is not commonly used in hypothesis testing.

Option C is incorrect because the statement that "if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time" is not based on the p-value. Option E is incorrect because subtracting the p-value from 1 assumes a one-tailed test, which may not be the case.

Therefore, the correct option is (D) The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

Learn more about p-value here

brainly.com/question/30461126

#SPJ4

The given question is incomplete, the complete question is:

A mathematician reported the results from a particular experiment to the researcher who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0. 21. Based on this p-value, what should the researcher conclude?

A) The test was not statistically significant because 2 × 0. 21 = 0. 42, which is less than 0. 5.

B) The test was statistically significant because a p-value of 0. 21 is greater than a significance level of 0. 5.

C) The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time.

D) The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

E) The test was statistically significant because p = 1 − 0. 21 = 0. 79, which is greater than a significance level of 0. 5

The measure of angle JKL is 105⁰.

The measure of angle KJM is  75⁰.

In an isosceles trapezoid, the property of opposite angles is that they are congruent or equal in measure. Specifically, the two angles that are formed by the intersection of the non-parallel sides with the bases of the trapezoid are opposite angles, and they have the same measure.

The measure of angle JKL is calculated as;

m∠JKL = 27⁰ + 78⁰ = 105⁰

m∠JKL = 105⁰

The measure of angle KJM is calculated as;

m∠KJM = ¹/₂ (360 -  2x105)

m∠KJM = 75⁰

Learn more about isosceles trapezoid here: https://brainly.com/question/4758162

#SPJ1

For a painting with frame, the quadratic equation can be ued too determine the thickness of the frame x is equals to the

4x² + 26x - 3 = 0. So, option(b) is right one.

There is defined that katie wants to hang a painting in a galery. See the above figure. Total area of the painting and frame must be equal to 45 square feet. Let the dimensions of painting be L and W that is length and width.

The width of painting, W = 6 feet

Length of painting, L = 7 feet

The thickness of the frame = x feet.

So, the new length of painting and frame, L' = (6 + 2x ) feet

The new width of painting and frame, W' = (7 + 2x ) feet

We have to determine the quadratic equation for thickness of the frame x. Using the area formula for rectangular, A = length × width

Area of rectangular painting and frame, A'

= new length × new width = L'× W'

= ( 6 + 2x) ( 7 + 2x)

From the scenario, A' = 45 sq. feet

=> ( 6 + 2x) ( 7 + 2x) = 45

=> 42 + 12x + 14x + 4x² = 45

Simplify the above expression,

=> 4x² + 26x = 3

=> 4x² + 26x - 3 = 0

Hence, required quadratic equation is

4x² + 26x - 3 = 0.

For more information about quadratic equation, visit :

https://brainly.com/question/28038123

#SPJ4

Complete question:

katie wants to hang a painting in a galery. the painting and framemust have an area of 45 square feet. the painting is 6 feet wide by 7 feet long. which quadratic equation can be ued too determine the thickness of the frame x?

a) 4x^2 + 26x + 45 = 0

b) 4x^2 + 26x − 3 = 0

c) x^2 + 13x − 3 = 0

d)x^2 + 13x + 45 = 0

4/5 vs. 3/5 is the fraction comparison problem that can be resolved using the same number of missing pieces approach.

The same number of missing pieces method compares the numerator of two fractions after determining the common denominator for the two fractions. Only when the denominators of the fractions are different does this method work. We can identify a common denominator of 20 and compare the numerators in option b because the denominators (4 and 3) disagree.

Consequently, 4/5 can be expressed as 16/20 and 3/5 as 12/20. When we compare the numerators, we obtain 16 > 12, meaning that 4/5 is higher than 3/5. Because they share the same denominator or have no common factor, the other possibilities cannot be solved using the same number of missing pieces technique.

To know more about same number of missing pieces strategy, visit,

https://brainly.com/question/1099100

#SPJ4

The area of the figure is 72 m².

Thus, the total surface area of the cereal box is found as - 202 in².

With six faces, twelve edges, and eight vertices, a cuboid is a 3D shape. Its faces are all rectangles.

Due to its uniform cross-section throughout, a cuboid is also a prism. It is referred to as a prism.

Given data:

total surface area of cuboidal cereal box = 2(lb + bh + hl)

total surface area = 2(13 *5 + 5*2 + 2*13)

total surface area = 2*101

total surface area = 202 in².

Thus, the total surface area of the cereal box is found as - 202 in².

Know more about the cuboid:

https://brainly.com/question/26403859

#SPJ1

Correct question:

find the surface area of the cereal box.

Length - 13 in : width - 5 in. height - 2 in.

The total surface area of the cereal box is _____

Answer: 1. 48.356 2. 75.3982236862

Step-by-step explanation:

Radias*2 pi

In the equation, y=β_0+β_1 x_1+β_2 x_2+u, β_2 is a(n) slope parameter. Option B is the correct answer.

In the given equation, y is the dependent variable, x1, and x2 are independent variables, β0 is the intercept parameter, β1 is the slope parameter for x1, β2 is the slope parameter for x2, and u is the error term. Therefore, β2 represents the effect or impact of the independent variable x2 on the dependent variable y, holding other independent variables constant.

Understanding the role and significance of each parameter is essential for interpreting the results of statistical models and drawing meaningful conclusions from the data.

Learn more about slope parameters at

https://brainly.com/question/29731158

#SPJ4

The question is -

In the equation, y=β_0+β_1 x_1+β_2 x_2+u, β_2 is a(n) _____.

a. independent variable

b. dependent variable

c. slope parameter

d. intercept parameter

EXPLANATION

Given the dimensions of a rectangular prism:

Length = 113 yards

Width: 212 yards

Height: 4 yards

We have to find its volume.

The volume of a prism is the product of its dimensions,

Hence, the volume of this prism is 95,824 cubic yards.

Answer:

y=(4/5)x

Step-by-step explanation:

Thus, the value of y for the given linear function for the input value of x = 4 , is found as y = 5.

Any function which it graphs as a straight line is said to be linear. Mathematically speaking, this indicates that the function contains one or two variables, but neither exponents nor powers.

Given linear function:

y = 2x - 3 ; with x = 4

To get the value of y ,put x = 4 in the given function:

y = 2(4) - 3

y = 8 - 3

y = 5

Thus, the value of y for the given linear function for the input value of x = 4 , is found as y = 5.

Know more about the linear function:

https://brainly.com/question/2248255

#SPJ1

correct question:

Find the value of y for the given value of 'x'.

y = 2x - 3 ; x = 4

Answer:

15

Step-by-step explanation:

The numbers in the given data = 12, 17, 16, 10, 20

Total number = 5

12 + 17 + 16 + 10 + 20 = 75

Mean = 75/5

Mean 15