Save According to a certain organization adults worked an average of 1,820 hours last year Assume the population standard deviations 440 hours and that a random sample of 50 adults was selected Complete parts a through e below a. Calculate the standard error of the mean = 6223 (Round to two decimal places as needed b. What is the probability that the sample mean wit be more than 10 hours? P(1830) - (Round to four decimal places as needed

Answers

Answer 1

The standard error of the mean is approximately 62.23 (rounded to two decimal places).

The probability that the sample mean will be more than 10 hours (1830 hours) is approximately 0.4364 (rounded to four decimal places).

I understand that you need help calculating the standard error of the mean and the probability that the sample mean will be more than 10 hours. Let's address each part separately:

a. To calculate the standard error of the mean, we will use the formula:

Standard Error (SE) = (population standard deviation) / sqrt(sample size)

In this case, the population standard deviation is 440 hours, and the sample size is 50 adults. Plugging these values into the formula:

SE = 440 / sqrt(50) ≈ 62.23



b. To find the probability that the sample mean will be more than 10 hours, we will first calculate the z-score for a sample mean of 1830 hours (1820 + 10 hours):

z = (sample mean - population mean) / standard error
z = (1830 - 1820) / 62.23 ≈ 0.16

Now, we can use the z-score to find the probability by looking up the area to the right of this value in a standard normal distribution table or using a calculator. For a z-score of 0.16, the area to the right is approximately 0.4364.

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Related Questions

Shawn planned to run 4.2 miles every day, but yesterday he only had time to run 0.2 of that distance. How far did Shawn run yesterday?​

Answers

Answer:

That would be 4.0

Step-by-step explanation:

if you have 4.2 take away 0.2 that would be 4.0

4.2

0.2

-__

4.0

Hope this helped regards

Search up:CNN 10 April 9th 2021
Watch the video give me 10 facts

Side note: Please don’t waste my time I have stuff to do

Answers

Answer:

Jeff Bezos, is Amazon's founder, who's one of the richest people in the world.

The federal government won't require everyone to get vaccinated.

The federal government also won't required everyone in america to carry a passport.

New York recently because the first state to have a cov id passport.

Florida banned the co vid passport.

Restraunt owners think its against peoples rights to have a co vid passport, so they won't need them there!

Theatres are requiring a passport for the vaccine, due to wanting to fill the audience.

Heinz makes more ketchup than anyone

12 billions ketchup packets will be made this year from h einz, which is enough to reach the moon and back.

astronauts had a lot of ketchup in space

1 hundred and forty miles per hour is reached on the fasted roller coaster according to genius world records.

Step-by-step explanation:

Hope this helps! Plz mark as brainliest!

The scatterplot shows the monthly high temperatures for Austin, Texas, in degrees Fahrenheit over a 12-month period.
Monthly High Temperatures
in Austin, Texas
113
109
105
(do) amesadwal
101
..
97
93
.
89
85
1 2 3 4 5 6 7 8 9 10 11 12
Month
Which function best models the data from Month 1
Month 9
y = 1.6 + 111
2.5790

Answers

Answer: y=2.5x+90

Step-by-step explanation:

idk

Answer: y =2.5x+90

Step-by-step explanation:

Please find the value of X and Y will mark brainliest

Please find the value of X and Y will mark brainliest

Answers

Answer:

y=34.5 degrees

x=17 degrees

Step-by-step explanation:

2y=69  because it is a corresponding congruent angle

y=34.5 degrees

2y=3x+18

69=3x+18

3x=51

x=17

Evaluate the function f(x)=3x+12 with x+6.

f(x+6) = 6x + 60

f(x+6) = 2x - 30

f(x+6) = 3x + 30

f(x+6) = 30

Answers

Answer:

f(x+6)= 3x + 30

Step-by-step explanation:

Whenever you have to evaluate a function with a certain value, replace the variable x with a certain value. In this case, substitute x with the value of (x+6). You get the equation f(x+6)= 3(x+6) + 12, which simplifies into f(x+6)= 3x + 18 +12, which further simplifies into f(x+6)= 3x + 30.

Thanks! easpoddddddd

Thanks! easpoddddddd

Answers

Answer:

\(-\frac{8}{7}\\or\\= -1\frac{1}{7}\)

Step-by-step explanation:

\(-\frac{3}{7}\div \frac{3}{8}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=-\frac{3}{7}\times \frac{8}{3}\\\\=-\frac{8}{7}\\\\= -1\frac{1}{7}\)

Order 4 of the following sentences so that they prove the following statement by contrapositive. The average of three real numbers is greater than or equal to at least one of the numbers. Choose from this list of sentences Proof by contrapositive of the statement (in order) Hence, the assumption that the average of three real numbers is less than all of the numbers is false This contradicts the fact that +y+z=2+y+z Let , y and be real numbers and (x+y++)/3<1 (+y+)/3 <3 and (x+y+)/3<3 Adding up the three inequalities yields +y+=> +y+2 Hence, the assumption that the average of three real numbers is greater than all of the numbers is false Adding up the three inequalities yields y+<+y+z Letry and be real numbers and (1 + y + 3)/3 > z. (x + y + 2)/3 > y, and (x + y + 3)/3 > x

Answers

The following is the proof by contrapositive of the statement: The average of three real numbers is greater than or equal to at least one of the numbers. Hence, the assumption that the average of three real numbers is less than all of the numbers is false.

The following is the proof by contrapositive of the statement: The average of three real numbers is greater than or equal to at least one of the numbers. Hence, the assumption that the average of three real numbers is less than all of the numbers is false.

Let y and z be real numbers. We assume that (y + z)/2 < y and (y + z)/2 < z. Adding the two inequalities yields y + z < 2y + 2z, which simplifies to y + z < y + z + 2(y + z)/2.

This contradicts the fact that y + z = 2(y + z)/2. Therefore, the assumption that the average of three real numbers is less than all of the numbers is false.

Let x, y, and z be three real numbers. We assume that (x + y + z)/3 < x, (x + y + z)/3 < y, and (x + y + z)/3 < z.

Adding up the three inequalities yields x + y + z < 3x + 3y + 3z, which simplifies to (x + y + z)/3 < (x + y + z)/3 + 2(x + y + z)/3. This contradicts the fact that (x + y + z)/3 = (x + y + z)/3.

Hence, the assumption that the average of three real numbers is greater than all of the numbers is false. Therefore, the proof by contrapositive of the statement (in order) is: Let x, y, and z be three real numbers.

We assume that (x + y + z)/3 < x, (x + y + z)/3 < y, and (x + y + z)/3 < z.

Adding up the three inequalities yields x + y + z < 3x + 3y + 3z, which simplifies to (x + y + z)/3 < (x + y + z)/3 + 2(x + y + z)/3.

This contradicts the fact that (x + y + z)/3 = (x + y + z)/3.

Hence, the assumption that the average of three real numbers is greater than all of the numbers is false. Let y and z be real numbers. We assume that (y + z)/2 < y and (y + z)/2 < z. Adding the two inequalities yields y + z < 2y + 2z, which simplifies to y + z < y + z + 2(y + z)/2. This contradicts the fact that y + z = 2(y + z)/2. Therefore, the assumption that the average of three real numbers is less than all of the numbers is false.

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SHORT RESPONSE Two angles of a triangle have measures of 35° and 80°. Find the values of the exterior angle measures of the triangle. ​

Answers

Answer:

Step-by-step explanation:

Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.

35 + 80 + x = 180

115 + x = 180

x = 180 - 115

x = 65

Exterior angles are supplements of the interior angles.

So the exterior angle to 65 degrees is 180 - 65 = 115

And the exterior angle to 35 degrees is 180-35 = 145

The exterior angle to 80 degrees is 180 - 100 = 80

Find the root of the equations using the Newton Raphson method. y=f(x)=e^x−x x0=0 ,e^x−3x=3 root of the equation (0,1) in the range x^3+2x^2+6x+3=0 root of the equation (−1,0) in the range

Answers

The root of this equation is determined to be approximately 0.567143.The root is found to be approximately -0.673253.

The Newton-Raphson method is an iterative numerical technique used to find the roots of equations. In the first equation, y = f(x) = e^x - x, the initial approximation x0 is set to 0. By applying the Newton-Raphson method, successive approximations of the root are calculated until convergence is achieved. The root of this equation is determined to be approximately 0.567143.

In the second equation, x^3 + 2x^2 + 6x + 3 = 0, the root is sought within the range (-1, 0). The Newton-Raphson method is employed again, starting with an initial approximation x0 of -1. Through iterative calculations, the root is found to be approximately -0.673253.

Both equations demonstrate the effectiveness of the Newton-Raphson method in finding roots within specific ranges by iteratively refining approximations until a satisfactory solution is obtained.

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he grass in Jamie's yard grew 16161616 centimeters in 10101010 days. It was growing at a constant rate. How many days did it take the grass to grow 1111 centimeter

Answers

0.625 day to grow 1 cm.


16/10 = 1.6 cm in 1 day.

PLS HELP ME LESSON 12.03: PLOT TWISTS
1. Use the data set provided to create a line plot. i really need help

Answers

Hence, in answering the stated questiοn, we may say that If yοu're unitary methοd  satisfied with yοur line plοt, save it and distribute it as needed.

What is unitary methοd?

The unit technique is a prοblem-sοlving apprοach that invοlves finding the value οf a single unit and then multiplying that value by the needed value. Tο put it simply, the unit technique is used tο extract a single unit value frοm a given multiple. 40 pens, fοr example, wοuld cοst 400 rupees, οr the cοst οf οne pen. The prοcess fοr achieving this may be standardized. A single cοuntry. anything that has an identity element. Its adjοint and reciprοcal are equal in mathematics and algebra.

a general methοd fοr prοducing a line plοt:

First, cοllect yοur data. Stοck prices, temperature readings, and survey results are all examples οf this. The crucial thing is that yοu have a set οf values tο plοt οn a graph.

Enter yοur x and y values intο the plοt. The exact prοcedure depends οn the graphing prοgrammed yοu're using, but yοu shοuld be able tο enter yοur values intο a data table οr spreadsheet.

Make any changes yοu want tο yοur plοt. Adding labels tο the x and y axes, tweaking the plοt's scale, changing the line cοlοur οr thickness, οr adding a title are all pοssibilities.

If yοu're satisfied with yοur line plοt, save it and distribute it as needed.

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Complete question:

PLS HELP ME LESSON 12.03: PLOT TWISTS 1. Use the data set provided to create a line plot. i really need
PLS HELP ME LESSON 12.03: PLOT TWISTS 1. Use the data set provided to create a line plot. i really need

Mr. Ramirez burns 236 calories riding his bike each hour. He wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Mr. Ramirez must ride his bike to burn more than 590 calories?

Answers

Answer:

t > 2.5

Step-by-step explanation:

590/236 = 2.5

t > 2.5

Features of the function f(x)=-log3x+6

Answers

The following are the properties of the given logarithmic function f(x) = -log3x+6:

The function's domain is (0, ∞).

The function's range is  (-∞, ∞) i.e. the set of all real numbers.

At x = 0, the component shows the presence of a vertical asymptote.

The constant reflects the x-axis logarithm.

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

We have been given that the function f(x) = -log3x+6

As per the above function,

The function's domain is (0, ∞).

The function's range is  (-∞, ∞) i.e. the set of all real numbers.

At x = 0, the component shows the presence of a vertical asymptote.

The constant reflects the x-axis logarithm.

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Features of the function f(x)=-log3x+6

anyone know this?????

anyone know this?????

Answers

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

What is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n?

n = 1
n = −3
n = fraction 3 over 4
n = fraction 1 over 4

Answers

Answer:

The solution is n=1

Step-by-step explanation:

I hope you mean

4/5n-3/5=1/5n

if so then here's the solution

5n×4/5n-3/5×5n=1/5n×5n

4-3n=1

4-1=3n

3n=3

n=1

10. 80 machines can produce 4800 identical pens in 5 hours. At this rate
a) how many pens would one machine produce in one hour?
b) how many pens would 25 machines produce in 7 hours?

Answers

Answer:

12 and 2100

Step-by-step explanation:

(a)

Divide 4800 by 5 for pens per hour produced by 80 machines.

4800 ÷ 5 = 960 pens per hour

Divide 960 by 80 for pens per hour produced by 1 machine.

960 ÷ 80 = 12

Thus 1 machine produces 12 pens per hour

(b)

Multiply 12 by 7 for pens produce in 7 hours by 1 machine.

12 × 7 = 84 pens per hour

Multiply 84 by 25 for pens produced in 1 hour by 25 machines.

84 × 25 = 2100

Thus 2100 pens are produced by 25 machines in 1 hour

Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats?

Answers

Answer:

$10.65 divide by 5 equals $2.13

Answer:

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.

Total = $10.65

How many bags there are : 5

$10.65 divided by 5 = 2.13

The cost per bag of dog treats is $2.13.

Find the area of the circle below.

Find the area of the circle below.

Answers

Answer:

area = 28.26 in²

Step-by-step explanation:

area = 3²(π) = 9(3.14) = 28.26 in²

PLEASE HELP ME THIS IS A MAPS TEST PLEASE HURRYIf a car can travel 435 miles on 25 gallons of gas, how many miles per gallon does the car get?
A. 1.74 mpg
B. 13.4 mpg
O c. 16.35 mpg
D. 17.1 mpg
E. 17.4 mpg

Answers

It’s E because your divide 435/25 to find how many miles per gallon

Answer: E. 17.4

Step-by-step explanation:

434÷25=17.4

Complete solution please There are three types of grocery stores in a given community. Within this community there always exists a shift of customers from one grocery store to another. On January 1, % shopped at store 1, 1/3 at store 2 and 5/12 at store 3. Each month store 1 retains 90% of its customers and loses 10% of them to store 2. Store 2 retains 5% of its customers and loses 85% of them to store 1 and 10% of them to store 3. Store 3 retains 40% of its customers and loses 50% to store 1 and 10% to store 2. a) Find the transition matrix b) What proportion of customers will each store retain by April 1 and June 1. c) Assuming the same pattern continues, what will be the long-run distribution (equilibrium) of customers among the three stores? d) Prove that an equilibrium has actually been reach in part (c)

Answers

Transition matrix We are given that the proportion of customers who shop at store 1, store 2 and store 3 on January 1 are respectively 0.3, 0.33 and 0.4166666666666667. Therefore, the equilibrium has been reached.

In other words, we have to find a vector x such thatAx = xwhere A is the transition matrix.

This is equivalent to solving the system of equations:(0.3716666666666667)x1 + 0.29625x2 + 0.25333333333333335x3

= x1(0.9) + x2(0.05) + x3(0.1)(0.05)x1 + 0.85x2 + 0.4x3

= x1(0.1) + x2(0.85) + x3(0.05)(0.05)x1 + 0.1x2 + 0.5x3

= x1(0.5) + x2(0.1) + x3(0.4)

Solving this system of equations,

we getx1

= 0.33027522935779817x2

= 0.30184331797235023x3

= 0.3678814526698518.

Therefore, the long-run distribution of customers among the three stores is

[0.33027522935779817 0.30184331797235023 0.3678814526698518].d)

Prove that an equilibrium has been reached The equilibrium has been reached if the proportion of customers who will shop at each store in the long-run is unchanged when multiplied by the transition matrix.

We can check if this is true by multiplying the long-run distribution vector by the transition matrix and verifying that it is equal to the long-run distribution vector.

We have

A[0.33027522935779817 0.30184331797235023 0.3678814526698518]

= [0.33027522935779817 0.30184331797235023 0.3678814526698518].

Therefore, the equilibrium has been reached.

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Jake is arranging a poetry reading. There will be 6 poets. The reading should run 90 minutes. Each poet will read for the same length of time. How long will each poet read?

Answers

Answer:

Each poet reads for exactly 15 minutes.

Step-by-step explanation:

If it should run for 90 minutes, and there is 6 poets, therefore I'm pretty sure you divide 90 by 6, which is 15.

Answer:

it took him 15 min

Step-by-step explanation:

answer PLEASE????? thanks

answer PLEASE????? thanks

Answers

Answer:

2 4/5

Step-by-step explanation:

2/5 x 2 = 4/5 + 2 = 2 4/5

_______________

Hope this helps :)

The sum of an infinite geometric series is $27$ times the series that results if the first three terms of the original series are removed. What is the value of the series' common ratio

Answers

Let \(a\) be the first term in the series and \(r\) the common ratio. Then the infinite series converges to

\(a + ar + ar^2 + ar^3 + ar^4 + ar^5 + \cdots = \dfrac a{1-r}\)

Removing the first three terms from the left side effectively multiplies the right side by 27, so

\(ar^3 + ar^4 + ar^5 + \cdots = \dfrac{27a}{1-r}\)

By elimination,

\(a + ar + ar^2 = -\dfrac{26a}{1-r}\)

Solve for \(r\). We can eliminate \(a\) so that

\(1 + r + r^2 = -\dfrac{26}{1-r} \\\\ \implies 1-r^3 = -26 \\\\ \implies r^3 - 27 = 0 \\\\ \implies r^3 = 27 \implies \boxed{r=3}\)

PLEASE HELP ME ANSWER ASAP

PLEASE HELP ME ANSWER ASAP

Answers

L = k/f, where k is the variational constant, is the formula for the inverse variation.

Inverse proportions

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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The highest common factor of 51 and 87?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Explanation:

The factors of 51 are 1,3,17,51; The factors of 87 are 1,3,29,87

Hope this helps =]

whats love, in words dont give as random answer

Answers

To me...I think love is sacrifice,honesty,loyalty and selflessness. Lol that might be really cheesy but that’s just me! Heh! :3

Answer:

Love is something you have to take care of figuratively.

Love is life, but love is sometimes not the thing to have sometimes

Love could be great, Love could be bad.

Step-by-step explanation:

find the pattern of 1,2,6,18 and state if its arithmetic or geometric

Answers

Answer:

 its a geometric sequence where each term is 3 times the previous term.

Step-by-step explanation:

{2,6,18,54,162,486,1458...}

Find x such that x, 56, 65 is a Pythagorean triple.

Answers

Answer:

59

Step-by-step explanation:

If you're talking about angles of a triangle, it'd be 59. Sum of all angles of a triangle equals 180. 180 - (56 + 65) = 59

Hence value of x in triple number is 33

What is Pythagorean triplet?

A Pythagorean triple is made up of three positive numbers a, b, and c that add up to c^2 when a^2 + b^2 = c^2. The triple (a, b, c) is widely written, and a well-known example is (3, 4, 5). For each positive integer k, (a, b, c) is a Pythagorean triple, as is (ka, kb, kc).

How to solve?

For 3 values to be in Pythagorean triplet \(y^{2} =x^{2} + z^{2}\)(where y is highest value)  

hence ,\(65^{2} =56^{2} +x^{2}\)

\(65^{2} -56^{2} =x^{2}\)

\(\sqrt{1089}\)=33

Hence value of x in triple number is 33

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2 box plots. The number line goes from 28 to 33. For Company A Monthly Sales, the whiskers range from 28 to 32, and the box ranges from 31 to 31.8. A line divides the box at 31.25. For Company B monthly sales, the whiskers range from 30 to 33, and the box ranges from 32 to 32.8. A line divides the box at 32.5. Which measure of center would you use to compare the populations represented by the box plots? Which measure of variability would you use to compare the populations represented by the box plots?

Answers

Answer:the answer for the first one is MEDIAN for the second one is INTERQUARTILE RANGE (IQR)

Answer:

Step-by-step explanation: it is MEDIAN for the second one is INTERQUARTILE RANGE

What is / are the coefficients in this expressions? 3a+7-8n

Answers

Answer:

3 and 8

Step-by-step explanation:

3 and 8 are the only numbers that have a variable, or the letter beside it

Other Questions
What is 144 divided by 960?Working out is needed. One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $139,900 to invest would like to have an income of $18,950 per year from her investments. How much should she invest at each rate Classify the following reactions: A HNO3(aq) + NH3(aq)-NH4NO3(aq) + H20(1) B. 2Cu(s) + O2(g) 2Cuo(s) C. NaCl(aq) + AgNO3(aq)--NaNO3(aq) + AgCl(s) D. 2LiOH(aq) + H2SO4(aq)--Li2SO4 (aq) + 2H20(1) E. CaCl2(aq) + K2CO3(aq)-2KCl(aq) + CaCO3(s) what type of transaction would change both the calue of the incone statement and the balance sheet? Exercise 2 Rewrite the sentences below by inverting the order of the subjects and predicates. A pirate ship appeared out of the mist. A bag contains 6 clear marbles and 4 red marbles one marble is drawn from the bag and replaced a second marble is drawn from the bag and replaced what is the probability of getting a clear marble the first time and a red marble the second time 1. Mario has 12 boxes of pizza. He cut each pizza into eights. How many pieces of pizza will there be?2. Tony had 5 1/2 kilograms of sugar. How many cakes can he take if he will use 1/4 kilogram of sugar per cake?3. What is the average 2 1/4 and ? 3 1/34. Jay will put 4/5 mg of salt in each plastic. How many plastics will he need for 14 mg of salt? How do i solve for x Andrew plays a game where he draws one card from a well-shuffled standard deck of 52 cards . He wins the game if the card he draws is a Spade or a Heart Are the two events mutually exclusive? The two events are not mutually exclusive. There is not enough information to determine if the two events are mutually exclusive. The two events are mutually exclusive. What is the probability that Andrew wins the game? What is the probability that Andrew loses the game? What parts are found in an electric generator? Check all that apply. What's 15/11 and a mixed number? 65 yo F presents with severe, intermittent righ temporal headache, fever, blurred vision in her right evy, and pain in her jaw when chewing What the diagnose? Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%.How much total tax will a customer pay on both?Answer the questions to show how to write and simplify expressions that represent the problem. The generator of a car idling at 1500 rpm produces 17.4 V .What will the output be at a rotation speed of 2700 rpm , assuming nothing else changes?Express your answer to three significant figures and include the appropriate units.E2 = ___________(units) QUESTION 6 Consider the following reaction between the diatomic and monatomic forms of iodine: I2 (g) 2I (g) When 0.095 M I2 is initially placed in a previously empty container and sealed, the system slowly reaches equilibrium. When equilibrium is reached, it is found that there is an equilibrium concentration of 0.0055 M of the monatomic form of iodine. Calculate the (unitless) equilibrium constant Kc. Round your answer to two sig figs, and express it in scientific notation. If you see someone who does nothing but has fun, and you ask why don't they do something better, they say life is meaningless as most scientist could most likely evolve humans to another level they just didn't think of the right way to do it. What do you say back to him? At the most basic level, schizophrenia is best conceptualized as a(n) ________ disorder. Group of answer choices impulse control obsessive-compulsive dissociative psychotic As an embryo develops Inside the mother:OIt receives food from the mother's blood.O It makes its own food.O It receives food from the mother's yolk sac.O It does not need food until birth. Which statements are true about humans?Select the two answers that applyA. Recessive traits are always hidden.B. Humans have 23 pairs of chromosomes.C. Different offspring of the same parents can inherit different characteristics.D. Humans only get genes from 1 parent. what makes loyalty so strong