Drag numbers to fill in the table to organize the information in this problem.

The average daily iron intake for 12-year-olds is 15.1 milligrams. Fernando typically consumes 11.8 milligrams of iron in his breakfast cereal and 3.6 milligrams of iron from a protein bar. If he eats a bowl of cereal and two protein bars today, how many milligrams over the average daily intake for iron will Fernando's intake be?

Answer:

D no solution :)

Answer:

C.

Step-by-step explanation:

Using the Venn diagram, each set and the number of elements in each set are:

a. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b. A = {1, 3, 4, 5, 6, 8}

c. B = {4, 5, 6, 7, 9, 11}

d. C = {6, 8, 9, 12}

e. A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f. A ∩ B = {4, 5, 6}

A Venn diagram is a pictorial representation used to visualize the relationships between different sets of objects or concepts.

a.) U is the universal set. This implies it contains all the elements in the set. Thus:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b.) A is all element (number) is set A (circle A). Thus:

A = {1, 3, 4, 5, 6, 8}

c.) B is all element is set B (circle B). Thus:

B = {4, 5, 6, 7, 9, 11}

d.) C is all element is set C (circle C). Thus:

C = {6, 8, 9, 12}

e.) A ∪ B is all element is sets A and B (circles A and B). Thus:

A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f.) A ∩ B is all element is sets A and B (circles A and B) have in common. Thus:

A ∩ B = {4, 5, 6}

Learn more about sets on:

brainly.com/question/21850160

#SPJ1

Answer:

Where is the picture?

Step-by-step explanation:

Have a great day

The amount paid for Social Security and Medicare will be $2335.

The government took out 7.45% of each income for Social Security and Medicare and Dr. Grumman earned $31,340 in 1990.

Therefore, the amount paid for Social Security and Medicare will be:

= Medicare percentage × Total income

= 7.45% × $31340

= 0.0745 × $31340

= $2335

Learn more about Medicare on:

brainly.com/question/1960701

#SPJ1

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

for such more question on equation

#SPJ8

Answer: it would be C

Step-by-step explanation: have a good day

Answer:

t is less than 0

Step-by-step explanation:

An open dot indicates that the number it is on is not included in the inequality, meaning it would not be less than or equal to.

Answer:

  (b)  40

Step-by-step explanation:

You want the value of the "whole" corresponding to a "part" of 25 in the given table.

Based on the relationships in the 2nd and 3rd columns, it appears that the parts on the second line are 5/8 of the whole.

This means that 25 is 5/8 of B, or ...

  B = 8/5 × 25 = 40

The value of B in the table is (b) 40.

__

Additional comment

The parts on the first line will be 3/5 of the value of the parts on the second line. The sum of the two parts in each column is equal to the whole.

<95141404393>

Answer:

c. 0.1391 < Ï < 0.2311

Step-by-step explanation:

The formula for Confidence Interval is given as:

Mean ± z × Standard deviation/√n

Z score for 98% confidence interval = 2.326

Mean = Significance level = 100% - 98%

= 2% = 0.02

Standard deviation = S=0.0165

n= 37

Hence,

Confidence Interval =

0.02 ± 2.326 × 0.0165/√37

0.02 ± 0.0063094687

Confidence Interval

0.02 - 0.0063094687

= 0.1391

0.02 ± 0.0063094687

= 0.2311

Hence, the Confidence Interval = (0.1391, 0.2311)

= c. 0.1391 < Ï < 0.2311

Answer:

27900

Step-by-step explanation:

15000 × (3.1/100) × 12 ×5 = 27900

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

Answer:

Margin of Error = z∝/2 * Standard Error

Step-by-step explanation:

The formula for standard error is given by

SE = \(\sqrt{\frac{pq}{n} }\)

Where p is the probability or proportion of success q=1-p and n is the number of trials or samples.

Now Margin of Error is given by

ME = z∝/2 * Standard Error

The confidence level is used to estimate the value of alpha.

For example 90% confidence means alpha= 1-0.9= 0.1 and alpha by 2 would be 0.05 . So the value for alpha by 2 would be 1.96

Answer:

true

Step-by-step explanation:

Answer:

8x^6-27y^6

Step-by-step explanation:

simplify the expression

Answer:

I think the answer is B

Step-by-step explanation:

1.2 * 10^6 is 1,200,000

1.38 * 10^7 is 13,800,000

you just have to divide 13,800,000 by the numbers until you get to 1,200,000. So, 13,800,000 / 11.5 is 1,200,000

Hope this helps! Have an amazing day :)

Answer:

11.5

Step-by-step explanation:

we will need to divide both of them

1.38 × 10^7 ÷ 1.2 × 10^6

1.38÷1.2 × 10^7-6

= 1.15 × 10¹

= 11.5

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

Simplify:

Convert the division of fractions into a product with the reciprocal of the denominator:

Now simplify x + 3 in both the numerator and denominator

Steps 3 and 4 are wrong because the variable x disappeared and it cannot be done unless they were simplified or they are substituted by a certain value.

ANSWER :

48

EXPLANATION :

The length of the major axis (2a) is 50 and the length of the minor axis (2b) is 14

So :

The distance between the foci is 2c, and the formula of c is :

Using the formula above :

Then the distance of the foci is 2c = 2(24) = 48

Answer:

2

Step-by-step explanation:

Use the dot plot to make a list of the numbers it represents, sorted from smallest to largest.

0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 9

There are 23 numbers in this list. The median is the one in the middle, so there will be 11 numbers to the left of it and 11 to the right.

The median is 2

Answer:

\(Boys = 1 /4\)

\(Total =112\)

Step-by-step explanation:

Given

\(Girls= 3/4\) ---  missing information

\(Boys = 28\)

Solving (a): The fraction that are boys

We have:

\(Girls= 3/4\)

This implies that

\(Boys = 1 - Girls\)

\(Boys = 1 - 3/4\)

\(Boys = 1 /4\)

Solving (b): Students in the class

If 1/4 are boys, then:

\(Boys = \frac{1}{4} * Total\)

We also have that: \(Boys = 28\)

So:

\(28= \frac{1}{4} * Total\)

\(28 * 4 = Total\)

\(112= Total\)

\(Total =112\)

Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

Answer:

$15.75

Explanation:

The game is fair if the expected value is equal to the cost of playing the game. To calculate the expected value, we need to identuty how much do you win for each option of the die, so:

one dot: $4.50

two dots: 2 x $4.50 = $9

three dots: 3 x $4.50 = $13.5

four dots: 4 x $4.50 = $18

five dots: 5 x $4.50 = $22.5

six dots: 6 x $4.50 = $27

Since each side of the die has an equal probability, we can calculate the expected value as the mean of the quantities above, so:

Therefore, the game is fair is the cost is $15.75

Answer:

  (x -14)² +(y -7)² = 1²

Step-by-step explanation:

You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...

  (x -14)² +(y -7)² = 1²

Answer:

PQ = 4cm

QR = 3cm

PR = 5cm

Area = 6cm²

Step-by-step explanation:

Area of triangle = 0.5 × Base × Height

6 = 0.5 × 3 × PQ

6 = 0.5 × 3 × x

\( \frac{6}{0.5 \times 3} = x\)

x = 4cm

PQ = 4cm

Since, it is a right angled triangle applying Pythagoras Theorem,

PR =

\( \sqrt{ {3}^{2} + {4}^{2} } \\ = \sqrt{9 + 6} \\ = 5cm\)

PR = 5cm

The length of the wood necessary to frame the outside of the railing will be 48.167 inches.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The length of the wood necessary to frame the outside of the railing will be given as,

l² = 32² + 36²

l² = 1,024 + 1,296

l² = 2,320

I = 48.167 inches

The length of the wood necessary to frame the outside of the railing will be 48.167 inches.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ1

Interest earned on first investment in year 1 is $6,183.13

Interest earned on second  investment in year 1 is $6,167.68

Annual yield on first investment is 6.18%

Annual yield on second investment is 6.17%

What is daily compounding?

Daily compounding means that the interest on the investment is computed on daily basis, 365 days a year.

In a bid to determine the total interest earned in one year on the investment whose interest is compounded daily, we can make use of the future value below to determine its worth after 1 year, from which the initial investment can be deducted to determine the interest in year 1.

FV=PV*(1+r/n)^(n*t)

PV=initial investment=$100,000

r=rate of return=6%

n=365 days a year

t=1 year

FV=$100,000*(1+6%/365)^(365*1)

FV=$106,183.13

Interest=$106,183.13 -$100,000

interest=$6,183.13

Annual yield=effective annual interest

EAR=(1+6%/365)^(365)-1

EAR=6.18%

What is monthly compounding?

It means interest is compounded or computed every month, 12 months a year

FV=PV*(1+r/n)^(n*t)

PV=initial investment=$100,000

r=rate of return=6%

n=12 months a year

t=1 year

FV=$100,000*(1+6%/12)^(12*1)

FV=$ 106,167.78  

Interest=$ 106,167.78  -$100,000

interest=$6,167.68

Annual yield=effective annual interest

EAR=(1+6%/12)^(12)-1

EAR=6.17%

Find out more about effective annual interest rate on:https://brainly.com/question/26498344

#SPJ1

Answer:

Simple Division. See explanation.

Step-by-step explanation:

Simply put, 5 1/3 divided by 2 2/7 is  2.333333 (continues on forever)

This in fraction form however is 2 1/3.

Final answer: 2 1/3 in fraction form, and 2.333 in decimal.

TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

To represent the given problem as a system of equations, we can use the following information:

John is 70 years younger than Sharon: j = s - 70

Sharon is 4 times as old as John: s = 4j

Let's plot the graph for this system of equations:

First, let's solve equation (2) for s:

s = 4j

Now substitute this value of s in equation (1):

j = s - 70

j = 4j - 70

3j = 70

j = 70/3

Substitute the value of j back into equation (2) to find s:

s = 4j

s = 4(70/3)

s = 280/3

The solution to the system of equations is j = 70/3 and s = 280/3

In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.

Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

Learn more about system of equations click;

https://brainly.com/question/20067450

#SPJ1

Answer:

14

Step-by-step explanation:

Given

See attachment for proper stem plots for both district

Required

The sample size for Southeastern

The stem plot for southeastern is:

\(Stem | Leaf\)

\(0 | 5\ 5\ 7\ 8\)

\(1 | 1\ 2\ 3\ 5\ 9\ 9\)

\(2 |2\ 7\)

\(3 | 3\)

\(4 | 1\)

\(5 |\)

To get the sample size, we simply count the leaves

The leaves are:

\(Leaves = \{5, 5, 7, 8, 1, 2, 3, 5, 9 ,9,2,7,3,1\}\)

The number of leaves is:

\(n(Leaves) = 14\)

Hence, the sample size is 14