The height of a man with a z-score of 0 is 69 inches.
The average height of adult men = 69.0 inches, Standard deviation of adult men = 2.8 inches to find the Z-score the following formula is used:
z = (x- μ)/σ where z is the z-score, x is the value to be standardized, μ is mean and σ is the standard deviation.
To find the height of a man with a z-score of Standardized value(z) = 0
z = (x - μ)/σ
0 = (x - 69)/2.8
x = 69 + 0 (2.8)
x = 69 inches.
Therefore, the height of a man with a z-score of 0 is 69 inches.
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4. Davie has sent the following number of text messages in the past 7 days: 10, 2, 5, 22, 19, 11, 8. (1 point)
Gabby has sent the following number of text messages in the past 7 days: 19, 15, 25, 24, 20,
29, 21. Using IQR, who has had a higher variability of text messages per day?
ODavie had a higher variability because his IQR is 8 more than Gabby's.
OGabby had a higher variability because her IQR is 7 more than Davie's.
ODavie had a higher variability because his IQR is 6 more than Gabby's.
OGabby had a higher variability because her IQR is 6 more than Davie's.
Answer:
Step-by-step explanation:
4. The cοrrect οptiοn is A) David had a higher variability because his IQR is 8 mοre than Gabrielle
6. The cοrrect οptiοn is D) The IQR For both sets is 8.
What is the descriptive statistics?Descriptive statistics is a branch οf statistics that invοlves the cοllectiοn, presentatiοn, and characterizatiοn οf a set οf data.
4) Given
1. Number οf text messages frοm David 10, 2, 5, 22, 19, 11, 8
2. Number οf text messages frοm Gabrielle 19, 15, 25, 24, 20, 29, 21
Find the median fοr the data οf David
10, 2, 5, 22, 19, 11, 8
Arrange in ascending οrder
2, 5, 8, 10, 11, 19, 22
Median οf the data is (n + 1)/2
= (7 + 2)/2
= 4
= 4th term = 10
Nοw Find Q1 and Q3
Q1 = 5 and Q3= 19
IQRD=Q3−Q1
IQRD=19−5
IQRD=14 Equatiοn (1)
Find the median fοr the data οf Gabrielle
19, 15, 25, 24, 20, 29, 21
Arrange in ascending οrder
15, 19, 20, 21, 24, 25, 29
Median οf the data is 4th term 21
Nοw Find Q1 and Q3
Q1=19 and Q3=25
IQRG=Q3−Q1
IQRG=25−19
IQRG=6 Equatiοn (2)
Frοm equatiοn 1 and 2 we can say that
David had a higher variability because his IQR is 8 mοre than Gabrielle.
Hence, The cοrrect οptiοn is A) David had a higher variability because his IQR is 8 mοre than Gabrielle.
5) Seventh grade = 6 10 14 18 22 26
Median = 4th value = (18 + 14)/2 = 16
Q1=10 and Q3=22
IQR = 22 - 14 = 8
Eighth grade = 22 26 30 34 38
Median (n + 1)/2 = 3rd value = 30
Q1=22 and Q3=38
IQR = 34 - 26 = 8
Thus, The IQR For both sets is 8.
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If Planet I is 32. 6 million miles farther from the sun than Planet II, then Planet III is 26. 3 million miles farther from the sun than Planet I. When the total of the distances for these three planets from the sun is 190. 5
million miles, how far away from the sun is Planet II?
21 x 8 ÷ 12 as a equivalent ratio?
Answer:
There are many options, like:
14/1 or 28/2...
Step-by-step explanation:
First write the system:
(21 x 8) / 12
Then simplify the brackets:
(168) / 12
= 14
Then you can put 14 over 1 as an example of proportionality:
14/1 : (21 x 8) / 12
Or multiply it by 2, 3 etc.:
42/3 : (21 x 8) / 12.
Compute the interest on 250000 at a 7. 5% interest rates for half a year
the interest earned on 250000 at a 7.5% interest rate for half a year is 4687.50. This means that after half a year, the total amount that you would have is the sum of the principal and the interest, which is 254687.50.
To calculate the interest on 250000 at a 7.5% interest rate for half a year, we first need to determine the annual interest rate, as most interest rates are quoted on an annual basis. To do this, we can divide the annual interest rate of 7.5% by 2 to get the half-yearly interest rate, which is 3.75%.
Next, we can use the formula for simple interest to calculate the interest earned over half a year. Simple interest is calculated by multiplying the principal amount (in this case, 250000) by the interest rate (3.75%) and the time period (0.5 years).
So, the interest earned would be:
Interest = Principal x Rate x Time
= 250000 x 0.0375 x 0.5
= 4687.50
Therefore, the interest earned on 250000 at a 7.5% interest rate for half a year is 4687.50. This means that after half a year, the total amount that you would have is the sum of the principal and the interest, which is 254687.50.
It's worth noting that this calculation assumes that the interest is simple interest, which means that the interest earned is not reinvested. If the interest is compounded (i.e., the interest earned is reinvested), then the interest earned would be higher.
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each letter of the alphabet is written on a piece of paper and put in a hat. if a piece of paper is chosen at random, what is the probability that it will be a vowel? the number of favorable outcomes is . the number of possible outcomes is . so p(vowel)
The probability of selecting a vowel from a hat with letters of the alphabet is 5/26 or approximately 0.1923. There are 5 vowels and 26 total letters.
There are 5 vowels in the English alphabet: A, E, I, O, and U. Therefore, the number of favorable outcomes (i.e., the number of vowels in the hat) is 5.
There are a total of 26 letters in the English alphabet. Therefore, the number of possible outcomes (i.e., the number of letters in the hat) is 26.
The probability of selecting a vowel is the ratio of the number of favorable outcomes to the number of possible outcomes:
P(vowel) = number of favorable outcomes / number of possible outcomes
P(vowel) = 5 / 26
Therefore, the probability of selecting a vowel is 5/26 or approximately 0.1923 (rounded to four decimal places).
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Answer:
5
26
5/26
19
Step-by-step explanation:
A company ordered 20 boxed lunches from a deli for $120.40. Each boxed lunch cost the same amount. Write an equation that represents the proportional relationship between y, the total cost of the boxed lunches, and x, the number of boxed lunches.
Answer:
Step-by-step explanation:well work it out use ur brain
Answer:
Step-by-step explanation:you need to multiply 120x40=20 your get $2,408
Chanda gets a new puppy and purchases supplies that cost $52.00. The sales tax is 5.5%. What is the total cost of Chanda's purchase? (label!)
Answer:
$54.86
Step-by-step explanation:
The tax is 5.5%. Convert to decimals --> .055
Multiply .055 x 52 = $2.86 in tax
Add $2.86 + 52 = $54.86 total
What is the volume of the prism?
in.³.
Answer:18
Step-by-step explanation:
Volume prism is equal to product of width, length and height of prism which is in this case:
[tex]V=4*2*2\frac{1}{4}=8*\frac{9}{4}=18[/tex]
Written as a simplified polynomial in standard form, what is the result when
(x+4)² is subtracted from 8?
The simplified form of the polynomial expression in standard form is: - x² - 8x - 8
How to express the polynomial in standard form?The standard form of a polynomial is usually expressed by writing the highest degree of terms first then the next degree and so on. The standard form of polynomial is given by, f(x) = aⁿxⁿ + aⁿ⁻¹xⁿ⁻¹ + aⁿ⁻²xⁿ⁻² + ... + a₁x + a₀, where x is the variable and a_i are coefficients.
The polynomial expression is given as (x+4)² is subtracted from 8. Thus, we have:
8 - (x+4)²
Expanding gives:
8 - (x² + 8x + 16)
= 8 - x² - 8x - 16
= - x² - 8x - 8
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midazolam 9 mg im now is ordered. the nurse has the following vial of midazolam. how many milliliters will the nurse administer? enter only the numeral (not the unit of measurement) in your answer.
1.8 ml (milliliters) the nurse will administer the vial of the Midazolam of ordered 9mg.
The formula of calculating this is D/H × Q = x
where x = Desired dose amount, D = ordered Dose amount, H = amount on hand and Q = quantity.
From the following questions we have.
9mg = order dose, 5mg = amount on hand and 1ml quantity.
x = 9/5 × 1
= 1.8 ml.
Midazolam is administered carefully .it is used for sedation and anesthesia before surgical procedure. Midazolam is a short acting drug under benzodiazepines which have sedation power, so use or administered carefully before surgical procedure.
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Cora painted for three fifths of an hour. Her friend painted for 7 times as long. How many hours did Cora's friend paint in total? four fifths of an hour 3 hours sixteen fifteenths or three and one fifth hours twenty-one fifths or four and one fifth hours
The number of hours Cora's friend paint in total is found to be - twenty-one fifths.
Explain the term fraction of the number?The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top on the line.
The denominator is the figure that appears below the line. It shows either the overall number of identical objects in either a collection or the actual number of equal sections the entire thing is divided into.The following are examples of the types of adverbs that can be used to describe the meaning of a word. The numerator and indeed the denominator are the two main components of a fraction. These can be used to define various fraction types.Three-fifths of an hour was spent by Cora painting.
= 3/5 of hour
Her companion spent seven times as long painting.
= 7 * 3/5 of hour
= 21 /5 of hour
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Which of the following explains why it is easier to reject the null hypothesis with a one-tailed test than with a two-tailed test with all the same parameters?
a. Because the standard deviation in a one-tailed test is larger than that for a two-tailed test
b. Because z-scores are calculated differently in a one-tailed test
c. Because the critical region is all on one side in a one-tailed test and needs to be split between the two tails in a two-tailed test
d. Because a two-tailed test uses a bimodal distributio
Because the critical region is all on one side in a one-tailed test and needs to be split between the two tails in a two-tailed test.
What is the difference between a one-tailed test and a two-tailed test in hypothesis testing?In a one-tailed test, the alternative hypothesis is directional and the critical region is all on one side of the distribution. In a two-tailed test, the alternative hypothesis is non-directional and the critical region is split between the two tails of the distribution.
Why is it easier to reject the null hypothesis with a one-tailed test than with a two-tailed test?It is easier to reject the null hypothesis with a one-tailed test because the critical region is all on one side of the distribution, making it more likely to observe a significant difference and reject the null hypothesis. In contrast, the critical region is split between the two tails in a two-tailed test, making it less likely to observe a significant difference and reject the null hypothesis.
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At a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot.
Answer: the team amassed 88i points total, by shooting t two-point baskets and u 1-point free throws.
t+u = 53
total is: 2t + u = 88.
Step-by-step explanation:
hope i makes sense
What is the area of circle Q?
Q14
A. 28п
B. 28п²
С. 49п
D. 49п²
Answer:
Step-by-step explanation:
The area of a circle is pi times the radius squared (A = π r²).
10 ft
G
Find the area.
8 ft
Remember: A = r²
A = [?] ft²
Round to the nearest
hundredth.
Use 3.14 for T.
The area of the figure composing of a rectangle and a semi-circle is 105.12 ft².
What is the area of the composite figure?The figure in the image composes of a rectangle and a semi-circle.
The area of a rectangle is expressed as;
Area = Length × Width
The area of a semi-circle is expressed as;
Area = 1/2 × πr²
First, we find the area of the rectangle.
Area = Length × Width
Plug in Length = 10ft and Width = 8ft
Area = 10ft × 8ft
Area = 80ft²
Next, find the area of the semi-circle.
Area = 1/2 × πr²
Since diameter = 8ft, radius r = diameter/2 = 8ft/2 = 4ft
Area = 1/2 × 3.14 × (4ft)²
Area = 1/2 × 3.14 × 16 ft²
Area = 25.12 ft²
Now, area of the composite figure will be:
Area of the rectangle + Area of the semi-circle.
Area = 80ft² + 25.12 ft²
Area = 105.12 ft²
Therefore, the area of the figure is 105.12 ft².
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Factorise p²q-pr²-pq+r²
Harold will drive 330 more miles at the same rate how long will it take care old to drive 330 miles
Assuming he drives at a speed of 60 miles per hour, it will take him 5.5 hours to drive the 330 miles.
How long does it takes him to drive the 330 miles?If Harold drives 330 more miles at the same rate of 60 miles per hour, we can use the formula:
distance = rate x time
Let t be the time in hours it takes to drive the additional 330 miles. Then we have:
330 = 60t
Solving for t, we get:
t = 330/60
t ≈ 5.5 hours
Therefore, it takes approximately 5.5 hours to drive the additional 330 miles at a rate of 60 miles per hour.
Full question "Harold will drive 330 more miles at the same rate. Assume he drives at a speed of 60 miles per hour, how long does it take to drive the 330 miles?'
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Find m∠AZJ using the figure below
In Linear pair, 52° is the value ∠AZJ .
What is Linear pairs?
When two lines meet at a single point, a pair of linear angles is created. If, following the junction of the two lines, the angles are next to one another, they are said to be linear. A linear pair's total angles are always equal to 180 degrees.
A pair of adjacent angles is said to be a linear pair if the total of the two angles' (measured) angles is 180°. This means that a linear pair of angles always adds up to 180°. The linear pair of 30°, for instance, is 150°; the linear pair of 70°, 110°; etc.
∠JZF or ∠HZG
Linear pairs form supplementary angles.
∠AZJ = ∠AZH - ∠HZA
= 90° - 38°
∠AZJ = 52°
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Use the given information to prove the following theorem.
Answer: two right-angled triangle, equilateral triangle
Step-by-step explanation:
It is a combination of two right-angled triangle or it is an equilateral triangle.
Explanation:
You want to prove a point P on the perpendicular bisector of segment YZ is equidistant from Y and Z.
Statement . . . . Reason1. PX is the perpendicular bisector of YZ . . . . given
2. angles at X are right angles . . . . definition of perpendicular
3. YX = XZ . . . . definition of bisector
4. PX = PX . . . . reflexive property of congruence
5. ∆PXY ≅ ∆PXZ . . . . LL congruence theorem
6. YP ≅ ZP . . . . CPCTC
Please help with these 2 problems asap !! 15 points
Answer:
11. 17
12. -16
Step-by-step explanation:
please help asap im begging
Answer:
The diameter of the circle is 12 inches, which means the radius of the circle is half of the diameter, or 6 inches.
The formula for the area of a circle is:
A = πr^2
where A is the area of the circle and r is the radius.
Plugging in the value for the radius, we get:
A = π(6 in)^2
A = π(36 in^2)
A = 113.1 in^2 (rounded to one decimal place)
Therefore, the area of the circle is approximately 113.1 square inches.
if all multiples of 3 and all multiples of 4 are removed from the list of whole numbers 1 through 100, then how many whole numbers are left?
Answer:
The lowest common multiple 3 and 4 is 12.
Step-by-step explanation:
The total multiples of both 3 and 4 between 1 - 100 are 100/12 = 8 4/12 i.e. 8.
Which of the following graphs is described by the function below?
[tex]y=x^{2} -6x-7[/tex]
A.) Graph A
B.) Graph B
C.) Graph C
D.) Graph D
The given function [tex]y=x^2 - 6x - 7[/tex] describes the graph A.
What is function?
In mathematics, a function is a relation between a set of inputs (the domain) and a set of possible outputs (the codomain) with the property that each input is related to exactly one output.
We can solve this Function by substituting the 0 for Y.
To find the value of x when y is equal to 0, we can substitute 0 for y in the equation and solve for x:
[tex]0 = x^2 - 6x - 7[/tex]
To solve for x, we can use the quadratic formula:
x = (-b ± [tex]\sqrt{(b^2 - 4ac)}[/tex]) / 2a
In this case, a = 1, b = -6, and c = -7. Substituting these values into the formula, we get:
x = (-(-6) ± [tex]\sqrt {((-6)^2 - 4(1)(-7)}[/tex])) / 2(1)
Simplifying:
x = (6 ± [tex]\sqrt{64}[/tex]) / 2
x = (6 ± 8) / 2
x = 7 or x = -1
Therefore, when y is equal to 0, x can be either 7 or -1.
Therefore the given function describes the graph A.
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2 3/5 as an improper fraction
give your answer in its lowest terms
Answer:
13/5
Step-by-step explanation:
2*5=10
3+10=13
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathtt{2\dfrac{3}{5}}\\\\\mathtt{= \dfrac{2\times5 + 3}{5}}\\\\\mathtt{= \dfrac{10 + 3}{5}}\\\\\mathtt{= \dfrac{13}{5}}\\\\\\\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathtt{\dfrac{13}{5}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
I need help
Write an equation for the table below.
Answer:
5x1x5=712343x12x67=800
Step-by-step explanation:
Answer:
y = 5x
Step-by-step explanation:
y = water used (gal)
t = time (min)
y = 5x
This means for every minute, 5 gallons of water is used
What are all of the constants in the equation n + 6 = 30?
Answer:
Simple and best practice solution for n/6=30= equation. Check how easy it is, ... n-30*6=0. We add all the numbers together, and all the variables n-180=0
Target is selling a speaker for $166.50. It is at Costco for $90. What percentage did
Target markup the speaker?
Answer:
45.6%
Step-by-step explanation:
166.50 minus 45.6% equals 90 dollars
a gallon of milk is approximately 4 liters. how many gallon containers of air will it take to full one cubic meter (1 m3)? select the appropriate set-up for this calculation.
A gallon of milk is approximately 4 liters. 250 gallon containers of air will it take to full one cubic meter.
The setup for calculating how many gallon containers of air it will take to fill one cubic meter is:
1 m³ × 1000 L/m³ ÷ 4 L
A gallon of milk is approximately equal to 4 liters.
1 cubic meter (1 m³) of air is equal to 1000 liters.
One cubic foot of water contains 7.48 gallons. Dividing the total number of gallons by 7.48 will get the cubic feet equivalent.
To convert liters to gallons,
divide by 4 (since 1 gallon is approximately equal to 4 liters).
The calculation for how many gallon containers of air it will take to fill one cubic meter is:
1 m³ × 1000 L/m³ ÷ 4 L = 250 gallons.
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with reference to one 20th-century war, compare and contrast the political repercussions for two countries.
Germany and Japan have been profound and long-lasting, these countries have developed in the years since the war.
How impacts of 20th-century war on two countries?The 20th century saw numerous wars that had a significant impact on the global political landscape. The two countries in question, let us assume, are Germany and Japan.
During World War II, these two countries were on the same side, the Axis powers, and were both defeated by the Allies.
As a result of this war, both countries experienced a range of political repercussions.
In the aftermath of the war,
both countries were occupied by Allied powers, with the United States occupying Japan and Germany being divided into four separate zones of occupation, each controlled by a different Allied power.
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$15,600 at 3% for 2 years
Answer:10,400
Step-by-step explanation: