Five line segments coincide at a point as shown.



What is the sum of the marked angles?

Answer:

5

Step-by-step explanation:

To calculate a 95% confidence interval for the mean weight of all Utah County Fair pigs, we use the formula:

Confidence Interval = Sample Mean ± Margin of Error

Given:

Sample Mean (x) = 195

Standard Deviation (σ) = 18

Sample Size (n) = 100

The margin of error can be calculated using the formula:

Margin of Error = (Z * σ) / √n

For a 95% confidence level, the Z-value for a two-tailed test is approximately 1.96.

Margin of Error = (1.96 * 18) / √100

= 3.528

Therefore, the confidence interval is:

(195 - 3.528, 195 + 3.528)

(191.472, 198.528)

The correct answer is (191, 199).

Question 4: If the sample size is increased from 100 to 200, the margin of error will decrease in size. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the margin of error becomes smaller, resulting in a more precise estimate.

Question 5: To find out how many pigs must be sampled to have 90% confidence in the results with a margin of error of 6.8, we can use the formula:

Sample Size (n) = (Z^2 * σ^2) / E^2

Given:

Confidence Level (1 - α) = 90% (or 0.9)

Margin of Error (E) = 6.8

Standard Deviation (σ) = 18

For a 90% confidence level, the Z-value for a two-tailed test is approximately 1.645.

Sample Size (n) = (1.645^2 * 18^2) / 6.8^2

= 3.379

Therefore, the minimum number of pigs that must be sampled is approximately 4 (rounded up to the nearest whole number).

The correct answer is 5.

Answer:

Angles: adjacent

x = 18

Step-by-step explanation:

Adjacent Angles: angles that border each other to the left/right

Vertical Angles: opposite set of angles that are congruent

Given these definitions, these angles are not only adjacent, but also right angles. Right angles add to 90°.

Step 1: Combine like terms.

Step 2: Divide both sides by 5.

Therefore, the answer is adjacent and x = 18.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3x(1.05)   Equation/Question

Step 2

3x(1.05)   Simplify

3x(1.05)

Step 3

3x(1.05)   Multiply them

Answer

3.15x

Hope this helps

Answer:

1 = 175ft cubed

2 = 58m cubed

3 = 140m cubed

4 = 180in cubed

Step-by-step explanation:

You have to split these complex shapes into parts and find the volume of each part.  Then, add the parts' volumes together, which will be the total volume of these.  The equation is V=bhw.  V means volume, b means base, h means height, and w means width.  Hope this helps!

The option that is not a statistical question is D. how tall are the corn plants?

A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.

A statistical question is one that can be answered by gathering varying amounts of data. A statistical inquiry is one that yields varying responses and outcomes (data). It must be collected on more than one person and there must be room for the facts to vary.

Therefore, based on the information illustrated, the correct option is D. It was too general and not specific

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the maximum percentage of women who weigh more than 201.2 pounds is 1.39%.

To find the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds, we need to standardize the values using the formula:

z = (x - μ) / σ

where:

x = weight value

μ = mean weight

σ = standard deviation

For x = 96.0 pounds:

z = (96.0 - 148.6) / 23.9

z = -2.21

For x = 201.2 pounds:

z = (201.2 - 148.6) / 23.9

z = 2.21

We can use a standard normal distribution table or calculator to find the area between -2.21 and 2.21. The area is approximately 0.9545 or 95.45%.

Therefore, the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds is 95.45%.

To find the maximum percentage of women who weigh more than 201.2 pounds, we need to standardize the value of 201.2 pounds using the same formula:

z = (x - μ) / σ

z = (201.2 - 148.6) / 23.9

z = 2.21

We can use a standard normal distribution table or calculator to find the area to the right of 2.21. The area is approximately 0.0139 or 1.39%.

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The correct statement regarding the variation of the two measures is given as follows:

C. Yes, they vary directly. When one quantity increases, the other quantity also increases.

For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.

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Answer:

Step-by-step explanation:

The angle y exists on two angles of the triangle. This is because two of the sides are congruent, meaning the angle right next to 38 degrees is also y.

I will show a picture showing how we can determine y using this information along with other properties such as vertical angles and complementary angles:

Using this, we have the equation:

\(360=2(38)+4y\)

We just use algebra now:

\(360=76+4y\\284=4y\\y=71\)

Hope this helps!

Answer:

A = 2.734*10^7,  B = .208

Step-by-step explanation:

A = 2.734*10^7

There are 7 decimal places from 0 to 10 million

B = .208

multiply 3.2 and 6.5, get 20.8, 10^3 * 10^-5 =10^-2

20.8 * 10^-2 = .208

Answer:

Part A)

\( 2.734\times 10^{7}\: meters \)

Part B)

\( 0.208 \)

Step-by-step explanation:

Part A)

\( 27,340,000 \: m = 2.734\times 10^{7}\: m \)

Part B)

\( (3.20\times 10^{-5}) (6.5\times 10^3)\)

\( =3.20\times 6.5 \times 10^{-5}\times 10^3\)

\( =20.8 \times 10^{-5+3}\)

\( =20.8 \times 10^{-2}\)

\( =0.208 \)

The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

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Answer: 16

Step-by-step explanation:

Total shirts = 40

Number of evenings = 5

If we split the remainder of the work equally over the next 5 evenings.

then, the number of shirts she will need to iron on each evening = \(\dfrac{40}{5}=8\)

Number of shirts need to buy on Thursday and Friday = 2 (8) = 16

Hence, the number of shirts she need to iron on Thursday and Friday = 16

1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

Given that,

Sheri is making 4 pounds of mixed nuts.

She will use One-third the number of macadamia nuts as she does almonds.

A graph titled Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3).

We have to find,

How many pounds of each nut will she use?

According to the question,

Total mixed nuts are 4 pounds,

She will use One-third the number of macadamia nuts as she does almonds.

2 lines intersect at (1, 3).

Therefore,

Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis,

At x-axis, the point 1 lies.

So, macadamia nuts have 1 pound.

And pounds of almonds on the y-axis,

At y-axis, the point 3 lies.

So, almond nuts have 3 pounds.

Hence, 1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

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Answer:

A/ the first one

Step-by-step explanation:

Did the edg

A higher significance level increases the probability that the null hypothesis is rejected.

In hypothesis testing, the significance level, often denoted as α, represents the maximum probability of rejecting the null hypothesis when it is true. It determines the threshold for deciding whether to reject the null hypothesis or not.

Typically, a significance level of 0.05 (5%) is commonly used. This means that if the calculated probability, called the p-value, is less than 0.05, the null hypothesis is rejected in favor of the alternative hypothesis. By choosing a higher significance level, such as 0.10 (10%), the threshold for rejecting the null hypothesis becomes more lenient. As a result, the probability of rejecting the null hypothesis increases.

It's important to note that increasing the significance level also increases the likelihood of making a Type I error, which is the rejection of a true null hypothesis. Therefore, the choice of significance level should be based on the context, the consequences of making errors, and other relevant factors.

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Answer:

A=-4 B=-8 C=8

Step-by-step explanation:

If you need to check these answers multiply the answer by the second number.

A) -4x-3=12  A negative times a negative is always positive.

B)-8x9=-72 A negative times a positive is a negative.

C) 8x-2=-16 A negative times a positive is a negative.

Answer:y

Step-by-step explanation:

Answer:

y intercept:-45 and x intercept: -45/6

Step-by-step explanation:

Answer:

Y-intercept: -2

X-intercept: -5

Step-by-step explanation:

Answer:

(4a - 5)(4a + 5)

Step-by-step explanation:

Assuming you require to factor the expression

Given

16a² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

16a² - 25

= (4a)² - 5²

= (4a - 5)(4a + 5) ← in factored form

Answer100 POINTS! (50 split up) PLSSSSSTO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!

You measure the mass of an apple using a balance.

Answer:

Step-by-step explanation:

Apply the prime factorization method: \(5^2\)

⇒ \(Answer:5^2\)

Definition of prime factorization:

The factorization of a positive integer into its constituent prime numbers.

Hi student, let me help you out! :)

. . . .  . . . . . . . . . . . . . . . . . . . . . . . . . .. .  . .. . .  . . . . . . .. . . . . . .  .. . . .

We are asked to write 25 as a product of two primes.

A prime number is a number that can only be divided by 1 and itself.

So if we multiply two such numbers, we'll get 25.

These numbers are 5 and 5; 5 is only divisible (evenly) by 1 and itself.

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

The graph of the function is shown below:

a)

From the graph we notice that the vertex of the function is at the point:

b)

From the graph we notice that the axis of the function is the line:

C)

Since this is a polynomial its domain is all the real numbers, that is:

d)

From the graph we notice that the range is:

e)

The graph is increasing in the interval:

f)

The graph is decreasing in the interval:

Explanation

Given the function

We can find the value of p when f(-2 )=10 below;

Therefore, we will have;

Answer: p = -3

Answer:

Step-by-step explanation:

The factored form, use variables/numbers outside the square:

The standard form, use variables/numbers inside the square:

Factored form

Simplify to standard form

The proportion used to find the value of a is a/18 = 16/a

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given are three similar triangles, (refer to attached figure to separately see the similar triangles)

We know that, similar triangle have corresponding sides in equal ratio,

Therefore,

a/18 = 16/a

Hence, the proportion used to find the value of a is a/18 = 16/a

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Answer:

y=-3/2x+7.5

Step-by-step explanation:

You need to find the slope by subtracting second point,(7,-3), from the first point, (5,0), you get the slope of -3/2.

you need to put it on a graph with that slope, place the original two points and you move the slope up the y-axis 7.5, making the y-intercept (7.5,0)

Answer:

The total distance between the two cities in miles it 500 miles.

Step-by-step explanation:

In this example, we know that 1 inch on a map equals 125 miles in real life. The distance between 2 cities is 4 inches. We need to find the distance between these two cities in miles.

125 x 4 = 500

Therefore, the total distance between the two cities in miles it 500 miles.

Hope this helps! :D

Answer:

500 miles

Step-by-step explanation:

If 1 inch = 125 miles and the distance is 4 inches, then you multiply 125 by 4 to get 500 miles.

125

x  4

------

500

Answer:

Ya I saw the picture rip your failing grade hope you do better next semester :D

Step-by-step explanation:

Step-by-step explanation:

Let us say the breadth as b and length as l.

→ Length = 7 less than the twice the breadth

→ l = 2b - 7 ...(1)

Now, according to the question,

→ Perimeter of rectangle = 2(l + b)

→ 40 = 2(2b - 7 + b)

→ 40 = 2(3b - 7)

→ 40 = 6b - 14

→ 40 + 14 = 6b

→ 54 = 6b

→ 54 ÷ 6 = b

→ 9 m = Breadth

Now, finding length.

→ l = 2b - 7

→ l = 2(9) - 7 m

→ l = 18 - 7 m

→ Length = 11 m

Answer:

"31st in the sequence"

87/3 = 29 ..   29 subtractions needed to get to zero

the 30th position in the sequence will be zero

the 31st is the first negative term

1 87

2 84

3 81

4 78

5 75

6 72

7 69

8 66

9 63

10 60

11 57

12 54

13 51

14 48

15 45

16 42

17 39

18 36

19 33

20 30

21 27

22 24

23 21

24 18

25 15

26 12

27 9

28 6

29 3

30 0

31 -3

Step-by-step explanation:

Answer:

i think option b is correct

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

A) 10+2^3*4-1                     D) 10+(2^3*4)-1

10+8*4-1                                  10+(8*4)-1

10+32-1                                   10+32-1

42-1                                         42-1

41                                             41