The graph shows the relationship between the total cost,
t
, of purchasing a steel beam
f
feet long.

Using the confidence interval, the margin of error is 0.02.

In the given equation we have to find the margin of error.

The resulting confidence interval for the proportion of students applying for college is (0.65,0.69).

Let p = population proportion of students applying for college

P = Sample proportion of students applying for college

ME = margin of error

So the confidence interval

CI = (P-ME, P+ME)

From the given question;

(P-ME, P+ME) = (0.65,0.69)

So lower bound= P-ME = 0.65............................(1)

Upper Bound = P+ME = 0.69............................(2)

Simplifying the Equation 1 and 2

Add equation 1 and 2 we get

2P = 1.34

Divide by 2 on both side we get

P = 0.67

Putting the value of P in the equation 2

P+ME = 0.69

0.67+ME=0.69

Subtract 0.67 on both side we get

ME = 0.02

Hence, the margin of error is 0.02.

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Answer:

9^3=729

9^2=81

9^1=9

9^0=1

Hey there! :)

Answer:

D, e - 2b.

Step-by-step explanation:

Check each answer choice using the pattern given:

A. e - c = d because c + d = e. This is correct.

B. b + c = d. This is correct.

C. a + 2b = d because c = a + b. This is correct.

D. e - 2b ≠ d. This is incorrect.

E. f - e = d because d + e = f. This is correct.

Therefore, the only answer that does not equal "d" is D, e - 2b.

Since the median of a, b and c is 80, the values of a, b and c are 22.86, 80, and 76.2 respectively.

In Mathematics, a median can be defined as the middle number (center) of a sorted data set, which is when the data set is arranged in from the greatest to least or the least to greatest.

From the data set, we have the following ratios:

a: c = 10/3 = 10: 3.

b: c = 7/2 = 7 : 2

Next, we would determine the smallest number when the data set is ordered in ascending order:

10/3 = 7/2

2 × (10/3) = (7/2) × 3

20/6 = 21/6

Therefore, c < a < b as 20 is less than 21 and the variable a represent the median.

For the value of c, we have:

80 = (7/2) × c

c = (2/7) × 80

c = 160/7

c = 22.86.

For the value of b, we have:

b = (10/3) × c

b = (10/3) × 22.86

b = 228.6/3

b = 76.2.

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Answer:

40kg:1kg

Step-by-step explanation:

240kg:6kg

Both sides can be divided by 6 so we that to simplify

40kg:1kg

Hopes this helps please mark brainliest

240 : 6

answer = 1 : 4 the simplest form of 240 : 6

Answer:

102

Step-by-step explanation:

The mode is the number that appears the most in the data set. 102 appears 3 times while the others only once

Answer:

x= 5/2 + y/2

Step-by-step explanation:

So yeah... that's the answer

The type of sampling used in this scenario is a multistage cluster sampling. In this type the population is divided into clusters or groups.

In multistage cluster sampling, the population is divided into clusters or groups, and a sample is taken from each cluster. In this case, the clusters are the states, and a simple random sample of four states is selected.

Within each selected state, another level of sampling occurs where two colleges or universities are randomly selected from each state. This forms the second stage of sampling.

Finally, from each of the eight selected colleges or universities, a simple random sample of 20 undergraduates is taken. This forms the third stage of sampling.

By combining these stages, a final sample of 160 undergraduates is obtained.

Multistage cluster sampling is commonly used when the population is large and geographically dispersed. It offers a practical approach to obtain a representative sample by selecting clusters at different stages, which helps to reduce time, cost, and logistical challenges.

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Therefore, the truth value of Proposition 2A is False.

To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:

A = True

B = True

X = False

Y = False

Now let's evaluate the truth value of each component of the proposition:

(X ⊃ A) • (B ⊃ ∼ Y):

(False ⊃ True) • (True ⊃ ∼ False)

(True ⊃ True) • (True ⊃ True)

True • True

True

(B ∨ Y) • (A ⊃ X):

(True ∨ False) • (True ⊃ False)

True • False

False

[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:

True ⊃ False

False

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Answer:

It's D

Step-by-step explanation:

Stay frosty

Answer:

D

NO STEP BY STEP!

The graph shows the discontinuity of the function at x = -1 and x = 1. Therefore, the values of x at which the function is not continuous are -1 and 1.

The graph shows that at x = -1 and x = 1, the graph has a sharp jump in the value of the function. This means that the function is not continuous at those points, and thus the values of x at which the function is not continuous are -1 and 1. The graph represents a mathematical function, and the concept of continuity is crucial in mathematical analysis. A function is considered continuous at a specific point if the value of the function at that point exists and the limit of the function as the input approaches that point is equal to the value of the function at that point. In this particular graph, the function experiences a sharp increase or decrease in its value at the points x = -1 and x = 1. This sudden change in the function's value indicates that the function is not continuous at these points, meaning that its value does not approach a single limiting value as the input approaches these points. Thus, the points -1 and 1 are the values of x at which the function is not continuous.

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Step-by-step explanation:

I don't see any answer choices, so I tell you the actual result and must pick the fitting answer option.

3x(6x² - 3x + 7) = 18x³ - 9x² + 21x

If ΔJKL ≅ ΔMNO then, Option 3, JL ≅ MO is always true according to CPCT.

Cοngruence οf triangles: Twο triangles are said tο be cοngruent if all three cοrrespοnding sides are equal and all the three cοrrespοnding angles are equal in measure. These triangles can be slides, rοtated, flipped and turned tο be lοοked identical. If repοsitiοned, they cοincide with each οther. The symbοl οf cοngruence is’ ≅’.

The meaning οf cοngruence in Maths is when twο figures are similar tο each οther based οn their shape and size. There are basically fοur cοngruence rules that prοves if twο triangles are cοngruent. But it is necessary tο find all six dimensiοns. Hence, the cοngruence οf triangles can be evaluated by knοwing οnly three values οut οf six. The cοrrespοnding sides and angles οf cοngruent triangles are equal

If bοth triangles' three sides and three angles, in any οrientatiοn, are equal, then they are knοwn as cοngruent triangles. Cοngruent triangles can be superimpοsed οn each οther.

It is given that :

ΔJKL ≅ ΔMNO

It means for both triangles, the corresponding angles and sides are equal.

Hence, ∠KLJ ≅∠NOM

∠KJL ≅ ∠MON

JL ≅ MO

JK ≅ MN

So, option 3, JL ≅ MO is always true.

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Answer:

The answer is A.

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4)

2x+10y+-2.8x+-5.2y+16

2x-2.8x+10y-5.2y+16

= -0.8x+4.8y+16

Answer:

(-2, 0) and (0, 4)

Step-by-step explanation:

The solutions are the intersection points. The graphs intersect at points (-2, 0) and (0, 4)

More than 50 in mathematical expression is written as >50.

Any two integers can be compared using the greater than and less than symbols. Greater than and less than symbols are used to indicate whether one number is greater than or less than another. The greater than sign (>) is used when the first number exceeds the second number. The less than sign (<) is used when the first number is less than the second number.

The quantity on the left of the > sign is the greater quantity. It could be a variable or expression [like 3x - 2 > 50].

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This can be calculated by multiplying the number of tickets sold by their respective prices: 200 x $35 = $7,000 and 50 x $40 = $2,375.

The local theater fundraiser sold 200 pre-event tickets at $35 each and 50 at-the-door tickets at $40 each to generate a total revenue of $9,375. This can be calculated by multiplying the number of tickets sold by their respective prices: 200 x $35 = $7,000 and 50 x $40 = $2,375.

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Answer:

The correct value is t* = 1.690

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 36 - 1 = 35

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 35 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 1.69, which is the answer to this question.

Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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Answer:

The probability of boy in seventh child is 1/2, because the possibility of male child is always 50%.

Step-by-step explanation:

Answer:

x² - 10x + 21

Step-by-step explanation:

yw

If the volume of a right cone is 3,525, then the height of the cone is approximately 5 units.

We can use the formula for the volume of a cone to solve for the height of the cone:

V = (1/3)πr²2h

where V is the volume of the cone, r is the radius (half of the diameter), and h is the height of the cone.

Given that the diameter of the cone is 30 units, the radius is 15 units. Substituting this and the volume V = 3525, we get:

3525 = (1/3)π(15)²2h

3525 = 225πh/3

h = 3(3525)/(225π)

h ≈ 5

Therefore, the height of the cone is approximately 5 units.

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Answer:

you can use desmos

Step-by-step explanation:

for example put x=88

and do the same with the rest

then put x+y+z and you will get your answer

Step-by-step explanation:

Sum of angles around B = 360°

Answer: 215°

Step-by-step explanation:

         A circle's angles add up to 180 degrees. A reflex angle is an angle greater than 180°, but less than 360°. Here, we can set up an equation to solve for B.

                   360° - 145° = B = 215°

To compute the chi-square (χ2) statistic for a contingency table, the entries in the table should be non-negative whole numbers and should represent counts or frequencies.

The entries should indicate the number of observations falling into each category or combination of categories. It is important to note that the χ2 test is a statistical test used to analyze the association between categorical variables, and it requires the data to be in the form of a contingency table with appropriate counts or frequencies.

The χ2 test is commonly used to examine the relationship between two categorical variables. The contingency table is a table that summarizes the observed frequencies or counts for each combination of categories of the variables. The entries in the contingency table should fulfill certain requirements to ensure the validity of the χ2 test. Firstly, the entries in the table should be non-negative whole numbers, as they represent counts or frequencies of occurrences. Negative values or non-integer values are not meaningful in this context.

Secondly, the entries should reflect the number of observations falling into each category or combination of categories. Each cell in the table represents the count or frequency of observations falling into a specific combination of categories. By ensuring that the entries in the contingency table satisfy these criteria, we can accurately compute the χ2 statistic and perform the appropriate statistical analysis to assess the association between categorical variables.

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Answer:From 141.748 to 148.835 when you convert them using a conversion chart

Step-by-step explanation:.

Answer:

-3p^3+7p^2-3

Step-by-step explanation:

Answer:12.567

Step-by-step explanation:

2 examples where a system of equations could describe a real-life situation are given below.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

1.Modeling a business’s profit: A business can be represented by a system of equations to find the maximum profit. The equations can include the cost of the product, the price of the product, the number of units of the product sold, and other variables such as taxes and shipping costs. By representing the business with a system of equations, a business can optimize the equation to achieve the maximum profit.

2. Modeling the housing market: A system of equations can be used to model the housing market. The equations can include variables such as housing prices, the number of houses on the market, the number of buyers, the supply of housing, and the demand for housing. By using a system of equations, economists can better understand the housing market and make predictions about future trends in the market.

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Answer:

WEll the answer is d

Step-by-step explanation:

The first (80%) mortgage has an interest rate of 4.75%, and the second (20%) mortgage has an interest rate of 7.525%. Both are 30-year fixed-rate mortgages.

======================================================

Explanation:

The formula we'll be using is

P = (L*i)/( 1-(1+i)^(-n) )

where,

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

For the first mortgage (80%), we need to find out the L value

L = 80% of 175,000 = 0.80*175,000 = 140,000

The monthly interest rate is the annual rate over 12

i = r/12 = 0.0475/12 which I'll keep as a fraction

Lastly, this mortgage goes for 30 years aka 30*12 = 360 months. So n = 360.

To summarize the input values we'll use, we have,

Let's compute the monthly payment

P = (L*i)/( 1-(1+i)^(-n) )

P = (140,000*0.0475/12)/( 1-(1+0.0475/12)^(-360) )

P = 730.30627110436 approximately

P = 730.31

The first mortgage has a monthly payment of $730.31

We'll use this later.

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

Now onto the second mortgage (20%)

L = 20% of 175,000 = 0.20*175,000 = 35,000

i = r/12 = 0.07525/12 which I'll keep in fraction form

n = 360 months (same as before)

In short,

So,

P = (L*i)/( 1-(1+i)^(-n) )

P = (35,000*0.07525/12)/( 1-(1+0.07525/12)^(-360) )

P = 245.32451498724 approximately

P = 245.32

The second mortgage has a monthly payment of $245.32

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

The last step is to add the two monthly payments (found at the conclusion of each previous section)

730.31 + 245.32 = 975.63