A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a sample of 40 male students from the baseball team. Using this data, the doctor calculates the 95% confidence interval (63.5, 74.4). Which one of the following conclusions is valid? Group of answer choices No conclusion can be drawn. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches. 95% of the male students from the baseball team have heights between 63.5 inches and 74.4 inches.

Answer:

1. 3 + 2 = 2 + 3

2. 5 + 2 = 3 + 4

3. 6 + 0 = 3 + 3

4. 8 + 2 = 9 + 1

5. 2 + 2 = 4 + 0

6. 5 + 3 = 6 + 2

u basically just fill in the blank with a number that would add up to the number u already have that would equal the same as the other side. also pls give brainliest haha

Answer:

30 x z

Step-by-step explanation:

Answer: 30 x z

Step-by-step explanation:

Answer:

smallest: 40 kg, medium: 60 kg, largest quantity: 80 kg

Step-by-step explanation:

divide into 2 : 3 : 4

find the total quantities: 2 + 3 + 4 = 9 quantities.

9 quantities → 180 kg

1 quantities → \(\frac{180}{9}\) kg

1 quantities → 20 kg

Finding what the question asked for:

2 quantities → 20*2 → 40 kg

3 quantities → 20*3 → 60 kg

4 quantities → 20*4 → 80 kg

Answer:

Smallest quantity is 40 kg

Largest quantity is 80 kg

(in case you need it the middle quantity is 60 kg)

Step-by-step explanation:

In the ratio there are 9 total parts (2+3+4). If you divide the 180 kg by 9 you will get 20kg. You can now multiply the 20kg by each ratio (20×2, 20×3, and 20×4) to divide the sugar into the ratio.

20×2= 40 kg

20×3= 60 kg

20×4= 80 kg

Answer:

o 1)

\((x + 4)(3x + 2) \\ \\ (x)(3x) + (x)(2) + (4)(3x) + (4)(2) \\ \\ = 3 {x}^{2} + 2x + 12x + 8 \\ = 3 {x}^{2} + 14x + 8\)

__o__o___

o 2)

\((3x - 1)(2x - 5) \\ \\ (3x)(2x) + (3x) ( - 5)+ ( - 1)(2x) + ( - 1)( - 5) \\ \\ = 6 {x}^{2} - 15x - 2x + 5 \\ \\ = 6 {x}^{2} - 17x + 5\)

__o__o___

o 3)

\((5x + 2)(2x + 5) \\ \\ = (5x)(2x) + (5x)(5) + (2)(2x) + (2)(5) \\ \\ = 10 {x}^{2} + 25x + 4x + 10 \\ \\ = 10 {x}^{2} + 29x + 10\)

__o__o__

o 4)

\((4x - 1)(2x + 7) \\ \\ = (4x)(2x) + (4x)(7) + ( - 1)(2x) + ( - 1)(7) \\ \\ = 8 {x}^{2} + 28x - 2x - 7 \\ \\ = 8 {x}^{2} + 26x - 7\)

__o__o___

o 5)

\((2x + 6)(4x + 8) \\ \\ = (2x)(4x) + (2x)(8) + (6)(4x) + (6)(8) \\ \\ = 8 {x}^{2} + 16x + 24x + 48 \\ \\ = 8 {x}^{2} + 40x + 48\)

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

for more such questions on domain

https://brainly.com/question/2264373

#SPJ8

Answer:

3.75 feet

Step-by-step explanation:

The length of the frame is 3 times the width.

Let the width be x.

The length will be 3x.

Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.

The perimeter of a rectangle is:

P = 2(L + W)

=> 10 = 2(3x + x)

=> 10/2 = 4x

5 = 4x

=> x = 5/4 = 1.25 feet

The width is 1.25 feet. The length is therefore:

1.25 * 3 = 3.75 feet

Answer:

sarah can buy 88 songs

Step-by-step explanation:

filler fbjebdjsndjen

Answer:

sarah has to give her 15.99 from 75 after that she will be left with 59.01 and with that she can buy 74 songs

Answer:

A

Step-by-step explanation:

they measure the distance east to west of the equator

To solve this question, follow the steps below:

a) Find the function in which the x-value is defined

b) Substitute the function by the value of x and find f(x).

01. Finding g(0)

Since -2 < 0 < 2, let's use the second equation.

02. Finding g(2)

Since 2 ≥ 2, let's use the third equation.

04. Finding g(4)

Since 4 ≥ 2, let's use the third equation.

Answer:

The number that Goran can choose, which will be multiples of 2, 6, and 8, between 67 and 113 are 72, 96

To find out the numbers that Goran can choose, find the multiples of 2, 6, and 8 that are between 67 and 113. Then the common multiples of these numbers within that range, are the numbers to be chosen.

Multiples of 2 between 67 and 113 :

68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112

Multiples of 6 between 67 and 113 :

72, 78, 84, 90, 96, 102, 108,

Multiples of 8 between 67 and 113 :

72, 80, 88, 96, 104, 112

The numbers that are multiples of 2, 6, and 8 are:

72, 96

Find out more on multiples at https://brainly.com/question/15408039

#SPJ1

Answer:

i)  Using log law:  \(\log_aa=1\)

\(\implies \log_55+1=1+1=2\)

ii) \(\log \left(\dfrac{15}{8}\right)+4 \log 2-\log 3\)

Using log law \(a \log b=\log b^a\):

\(\implies \log \left(\dfrac{15}{8}\right)+\log 2^4-\log 3\)

\(\implies \log \left(\dfrac{15}{8}\right)+\log 16-\log 3\)

Using log law \(\log a-\log b=\log (\frac{a}{b})\):

\(\implies \log \left(\dfrac{15}{8}\right)+\log\left(\dfrac{16}{3}\right)\)

Using log law  \(\log a+\log b=\log(ab)\):

\(\implies \log \left(\dfrac{15}{8}\cdot \dfrac{16}{3}\right)\)

\(\implies \log 10\)

Using log law:  \(\log_aa=1\)

\(\implies \log_{10} 10=1\)

iii) Take log of base 10:

\(\log_{10}(\sqrt{8.357}\times0.895^2)\)

\(\implies \dfrac12\log_{10}(8.357)+2\log_{10}(0.895)\)

Log tables

The characteristic of the logarithm of a number is the exponent of 10 in its scientific notation.

The mantissa is found using the log tables and is always prefixed by a decimal point.

The row is the first two non-zero digits of the number, and the column is the 3rd digit of the number

Use the log tables to find \(\log_{10}(8.357)\):

8.357 = 8.357 × 10⁰

⇒ characteristic = 0

log table:  row 83, column 5 ⇒ mantissa 9217

(as there is a 4th digit) Mean difference 7 = 4

mantissa + mean difference = 9217 + 4 = 9221 ⇒ 0.9221

characteristic + mantissa = 0 + 0.9221 = 0.9221

Therefore, \(\log_{10}(8.357)=0.9221\)

Use the log tables to find \(\log_{10}(0.895)\):

\(0.895 = 8.95\times 10^{-1}\)

⇒ characteristic = -1

log table: row 89, column 5 ⇒ mantissa 9518⇒ 0.9518

characteristic  + mantissa = -1 + 0.9518= -0.0482

Therefore, \(\log_{10}(0.895)=-0.0482\)

Therefore,

\(\implies \dfrac12\log_{10}(8.357)+2\log_{10}(0.895)\)

\(\implies \dfrac12 \cdot 0.9221+2\cdot-0.0482\)

\(\implies 0.36465\)

Therefore,

\(\log_{10}(\sqrt{8.357}\times0.895^2)=0.36465\)

Using \(\log_ab=c \implies a^c=b\)

\(\implies \sqrt{8.357}\times0.895^2=10^{0.36465}\)

\(\implies \sqrt{8.357}\times0.895^2=2.3155\)

Answer:

17/16 OR \(1\frac{1}{16}\) minutes

Step-by-step explanation:

Since Jayla spent 1/16 of a minute AND one whole minute watching a millipede crawl, we'd need to first add the two numbers.

Since the given minute is out of 16, we can convert the one minute to 16/16.  This means we can add the other 1/16 of a minute.

This leaves us with Jayla watching the millipede for 17/16 OR \(1\frac{1}{16}\) minutes.

Hope this helps!! <3 :)

The second difference of the given number table is: Option A: -2

The second difference method can be used to determine a quadratic model.  In order for us to calculate the second difference, we will select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then we will find the difference of these two resulting values. That difference is what we refer to as the second difference.

Thus, Applying the second difference concept to our problem, we have:

First difference:

-4 - (-9) = 5

-1 - (-4) = 3

Thus, second difference is:

3 - 5 = -2

Read more about Second difference at: https://brainly.com/question/17301989

#SPJ1

86% of 22 is the correct answer

Answer:

number 2.) 1,500g

Step-by-step explanation:

i just know..

The answer to the question is 1/3.

There are three possible outcomes: 5, 6, or 7.

Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.

Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.

To solve more on probability :

https://brainly.com/question/12594357?referrer=searchResults

Answer:

  y-4

Step-by-step explanation:

remainder = y - 4 . . . . . 4 is subtracted from y

Answer:

\(y - 4\)

Step-by-step explanation:

four

\(4\)

subtract

\(( - )\)

from y

\(y\)

Now let's create the equation

FOUR SUBTRACTED FROM Y.

\(y - 4\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

69.04

Step-by-step explanation:

Given that:

Mean (m) = 69.0

Standard deviation (s) = 2.8

Zscore = 0.2

Find the corresponding height (x) ;

Using the relation :

Zscore = (x - m) / s

0.2 = (x - 69.0) / 0.2

0.04 = x - 69.0

0.04 + 69.0 = x

69.04 = x

Hence, the height of a man with a Zscore of 0.2 is 69.04

If X ~ Exponential(µ), then the mean of X is 1/µ. So if the mean of X is twice the mean of Y, then the mean of Y is 1/(2µ), so that Y ~ Exponential(2µ).

We're given that

P(X > 50) = 1 - P(X ≤ 50) = 1 - Fx (50) ≈ 0.7788

==>   Fx (50) = P(X ≤ 50) ≈ 0.2212

where Fx is the CDF of X, which is given for 0 ≤ x < ∞ to be

Fx (x) = 1 - exp(-µx)

Solve for µ :

1 - exp(-50µ) ≈ 0.2212   ==>   µ ≈ -ln(0.7788)/50 ≈ 0.005

Then we have

P (Y > 40) = 1 - P (Y ≤ 40) = 1 - Fy (40)

where Fy is the CDF of Y,

Fy (y) = 1 - exp(-2µy)

so that

P (Y > 40) ≈ 1 - exp(-2 × 0.005 × 40) ≈ 0.3297

a) T - Calories, 2000 - Minimum calories, 500 - Additional calories per exercise hour, b) We should consume 3500 calories to spend three hours exercising.

In this question we have a linear function where the independent variable is the exercise time (h), in hours, and the dependent variable is the calorie gain (T), in calories. The constant "2000" is the minimum calorie consumption and the constant "500" represents the amount of additional calories per each hour of exercise.

Now we proceed to respond the questions of the part a):

(i) T - Amount of calories needed, (ii) 2000 - Minimum calorie consumption, (iii) 500 - Amount of additional calories per hour of exercise.

b) And lastly we calculate the amount of calories by evaluating the function:

T = 2000 + 500 · 3

T = 2000 + 1500

T = 3500

We should consume 3500 calories to spend three hours exercising.

The statement is incomplete, the complete form is shown below:

You are trying to bulk up and gain muscle. Your trainer says that your daily calorie intake should increase based on the hours you spend exercising and can be represented by the following equation: T = 2000 +  500 · h

a) What does each part of this expression represent? (i) T = , (ii) 2000, (iii) 500, (iv) h

b) If you spend 3 hours exercising, how many calories should you consume?

To learn more on linear functions: https://brainly.com/question/21107621

#SPJ1

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

learn more on cost here: brainly.com/question/27903912

#SPJ1

Statement fourth the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have AH as the radius and FG as a chord

AH is perpendicular to FG, AH⊥FG

As we know that a line passing through the center and perpendicular to the chord, bisects the chord.

∴ AH bisects FG

∴ FH = GH

Thus, the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent and angles EDA and GHA are right angles.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

A charge nurse is reviewing orthostatic hypotension with a group of newly licensed nurses. the statements should the charge nurse make is c) a decrease of 20 mm of Hg in the diastolic pressure with a position change indicates orthostatic hypotension.

Orthostatic hypotension — also called postural hypotension — is a form of low blood pressure that happens when standing after sitting or lying down. Orthostatic hypotension can cause dizziness or lightheadedness and possibly fainting.

Orthostatic hypotension can be mild. Episodes might be brief. However, long-lasting orthostatic hypotension can signal more-serious problems. It's important to see a health care provider if you frequently feel lightheaded when standing up.

Occasional orthostatic hypotension is usually caused by something obvious, such as dehydration or lengthy bed rest. The condition is easily treated. Chronic orthostatic hypotension is usually a sign of another health problem, so treatment depends on the cause.

Learn more about orthostatic hypotension at

https://brainly.com/question/28301027.

#SPJ4

Answer:

1. -4

Answer:

Question 1 = 256

Question 2 = ( 7, 8, 12)

Answer: Two adjacent, supplementary angles. Supplementary means that they make up a degree of 180 when put together, and the are right next to each other.

Answer:

Simplify the following:

1/6×1/1

1/6×1/1 = 1/6:

Answer: 1/6

Step-by-step explanation:

No need to be confused about anything. One multiplied, raised, divided, and squared always gives the same result.