Answer:
She traveled 33 miles.
Step-by-step explanation:
11*3 = 33
Answer:
33
Step-by-step explanation:
11mph times 3 hours= 33 miles
A birdbath contains 1\2 liters of water. A rainy day adds a 215 milliliters, more to the birdbath. How many total milliliters of water are in the birdbath after it rained?
Answer:
715
Step-by-step explanation:
The total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division,and multiplication by a conversion factor.
We have:
A birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
1/2 liters = 0.5 liters
We know,
1 lter = 1000 ml
0.5 liters = 0.5×1000 = 500 ml
Total water = 215 ml + 500 ml = 715 ml
Thus. the total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
Learn more about the unit conversion here:
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ART D: THINKING
17
Solve for x in the following diagram. Make sure to show all your work and clearly label your
diagram with any missing information.
E
65
PP
55°
Y
ye
52 m
70°
1151
А
B
Ads
***
Answer:
110.41mStep-by-step explanation:
To get the value f x, we need to use SOH, CAH, TOA identity on ΔAEB but first we need to know any of the sides EB or AB.
From ΔBED, sum of the the angle in the triangle is 180° i.e ∠BED+∠EDB+∠EBD = 180°
65+55+∠EBD = 180
∠EBD = 180-120
∠EBD = 60
Also ∠DBC = 90- ∠EBD
∠DBC = 90- 60
∠DBC = 30°
Applying sine rule on ΔBCD;
52/sin∠DBC = DB/sin115
52/sin30 = DB/sin115
DB = 52sin115/sin30
DB = 52sin115/0.5
DB = 104sin115
DB = 114.75 m
Also applying sine rule on ΔBED to get side BE;
BE/sin55 = 114.75/sin65
BEsin65 = 114.75sin55
BE = 114.75sin55/sin65
BE = 93.998/0.906
BE = 103.75m
Finally, applying the trigonometry identity SOH on ΔABE
sinΔEAB = opp/hyp
sin70° = BE/AE
Since AE = x;
sin70° = 103.75/x
x = 103.75/sin70°
x = 110.41m
Hence, the value of x missing is approximately 110.41m
The area of circle Z is 64ft?.
What is the value of r?
r= 4 ft
r= 8 ft
D
r = 16 ft
Area
r= 32 ft
Z
Answer:
r=8
Step-by-step explanation:
Using the formula they gave us you could plug in the area (64) and divide it by pi which cancels out the pi so taking the square root of 64 gives you 8FT
Hope this helps :)
Answer:
8 ft
Step-by-step explanation:
[tex] \because \: r = \sqrt{ \frac{Area}{\pi} } \\ \\ \therefore \: r = \sqrt{ \frac{64\pi}{\pi} } \\ \\ \therefore \:r = \sqrt{64} \\ \\ \therefore r = 8 \: ft[/tex]
fgjxgfjvcskutfysfbisylvgkai. is this right that i did???????????????????????????????? dont look it up
Answer: NO. He had an increase of 25%
Step-by-step explanation:
To find the percentage increase, use the following formula where New (this week) = 25 and Original (last week) = 20.
[tex]\% Change=\dfrac{\text{New - Original}}{\text{Original}}\\\\\\.\qquad \qquad =\dfrac{25-20}{20}\\\\\\.\qquad \qquad =\dfrac{5}{20}\\\\\\.\qquad \qquad =\dfrac{1}{4}\qquad \rightarrow \qquad =0.25[/tex]
Convert the decimal into percentage by moving the decimal point two places to the right. 0.25 = 25%
Evan spent 25% more time this week than last week.
It can also be stated that this week Evan did 125% of homework compared to last week.
If Even spent 125% more than last week, he would have spent 100% (20 hours) + 25% (4 hours) = 24 hours.
Solve for a 7a - 2b = 5a + b
Answer:
a=1.5b
Step-by-step explanation:
Add 2b on both sides to get 7a=5a+3b
Subtract 5a
2a=3b
divide by 2
a=1.5b
Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem? 5x – 9 = x + 23 5x – 9 = 2x + 23 5x + 23 + 2x = 23 5x + 23 = 2x + 23
Answer:
5x - 9 = 2x + 23
Step-by-step explanation:
5 times a number is represented by 5x, with x representing the unknown number.
5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.
(5x - 9) is equal to twice the number (2x), increased by 23.
So, the equation is (2x + 23).
Therefore, 5x - 9 = 2x + 23
The equation is 5x - 9 = 2x + 23.
The answer is option A.
Which equation could be used to solve the problem?5 times a number is represented by 5x, with x representing the unknown number.
5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.
(5x - 9) is equal to twice the number (2x), increased by 23.
So, the equation is (2x + 23).
Therefore, 5x - 9 = 2x + 23
What is an equation example?
An equation is a mathematical announcement this is made up of expressions related to the same signal. For instance, 3x – 5 = 16 is an equation. Fixing this equation, we get the price of the variable x as x = 7.
Learn more about the equation here: https://brainly.com/question/1214333
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Select all that are true.
Answer:
1
2
6
Step-by-step explanation:
1/2 +1/2 =1
length 1/2 ×4=2
wide 1/2 ×3 =1 1/2
height 1/2×3= 1 1/2
Plz help me out with these problems.
PLEASE HELP!!!! |6n+7|=8 |3x–1|=4
Answer:
|6n+7|=8= n=1/6,-5/2
|3x–1|=4 x=5/3,-1
Step-by-step explanation:
a) Write 0.35 as a fraction in its simplest form.
b) Write 3/8 as a decimal.
c) A rectangular carpet measures 12m by 5m. Part of the carpet is covered by square rug of length 2m. What fraction of the carpet is covered by the rug? Give your answer in the simplest form.
Answer:
a.) 7/20
b.) 0.375
c.) 1/15
Step-by-step explanation:
a. 0.35 is out of 1, so to find 0.35 in fraction form: 35/100.
Simplify that down by dividing both top-bottom by 5 and you get 7/20
b. 1/8th of anything is 0.125, so 0.125(3) = 0.375. Alternatively you can use a calc to calculate the decimal.
c. Find the area of the rectangular carpet: 60m. Then find the area of the square rug: 4m
Find the fraction: 4/60
Simplify by dividing top-bottom by 4 and you get 1/15
There are 300 students in the seventh grade at Lincoln Middle School. When the students voted on new school colors, 65% of the seventh graders voted for the combination of blue and silver. How many seventh graders voted for the blue and silver color combination?
Answer:
195 students voted for the blue and silver color combination.
Step-by-step explanation:
First, you have to convert 65% to a decimal ( You should get 0.65 ).
Next, you multiply 300 by the decimal ( 0.65 )
You should get 195, so that's how many people voted for the blue and silver color combination.
Answer:
195
Step-by-step explanation:
Brian buys a computer for £3100. It depreciates at a rate of 5% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.
Answer: 2398.72
Step-by-step explanation:
Simply do 3100*0.95*0.95*0.95*0.95*0.95 ≈ 2398.72
Hope it helps <3
Answer:
$2398.72( I cannot use your dollar sign).
Step-by-step explanation:
If it decreases by 5% every year, then 3100*0.95=2945. Then 2945*0.95=2797.75. Then the 3rd year is 2797.75*0.95=2657.8625. Then 2,657.8625*0.95=2524.96938. Lastly, in the fifth year, it is 2524.96938*0.95=2398.72091. Then, I round off to the nearest penny(hundredths). The answer I get is $2398.72!
∠7 and ∠8 are linear angles and m∠7 is 4 times that of m∠8. Find m∠8 please show work! i already know the answer but I need the work so that i can understand it :) (the answer is 36 degrees)
Answer:
36°
Step-by-step explanation:
Let m∠8 = x°
Therefore, m∠7 = 4x°
Since, ∠7 and ∠8 are linear angles.
Therefore,
m∠7 + m∠8= 180°
4x° + x° = 180°
5x° = 180°
x° = 180°/5
x° = 36°
x = 36
Hence,
m∠8 = 36°
Urgent, It is a Calculus question and I’ll appreciate your help. Thanks
Answer:
4733
Step-by-step explanation:
Please refer to the attached diagram.
Point A can be assigned x-coordinate "p". Then its y-coordinate is 6p^2. The slope at that point is y'(p) = 12p.
Point B can be assigned x-coordinate "r". Then its y-coordinate is 6r^2. The slope at that point is y'(r) = 12r.
We want the slopes at those points to have a product of -1 (so the tangents are perpendicular). This means ...
(12p)(12r) = -1
r = -1/(144p)
The slope of line AB in the diagram is the ratio of the differences of y- and x-coordinates:
slope AB = (ry -py)/(rx -px) = (6r^2 -6p^2)/(r -p) = 6(r+p) . . . . simplified
The slope of AB is also the tangent of the sum of these angles: the angle AC makes with the x-axis and angle CAB. The tangent of a sum of angles is given by ...
tan(α+β) = (tan(α) +tan(β))/1 -tan(α)·tan(β))
__
Of course the slope of a line is equal to the tangent of the angle it makes with the x-axis. The tangent of angle CAB is 2 (because the aspect ratio of the rectangle is 2). This means we can write ...
slope AB = ((slope AC) +2)/(1 -(slope AC)(2))
[tex]6(p+r)=\dfrac{12p+2}{1-(12p)(2)}\\\\3(p+r)(1-24p)=6p+1\qquad\text{multiply by $1-24p$}\\\\3\left(p-\dfrac{1}{144p}\right)(1-24p)=6p+1\qquad\text{use the value for r}\\\\3(144p^2-1)(1-24p)=144p(6p+1)\qquad\text{multiply by 144p}\\\\ 3456 p^3+ 144 p^2+ 24 p+1 =0\qquad\text{put in standard form}\\\\144p^2(24p+1)+(24p+1)=0\qquad\text{factor by pairs}\\\\(144p^2+1)(24p+1)=0\qquad\text{finish factoring}\\\\p=-\dfrac{1}{24}\qquad\text{only real solution}\\\\r=\dfrac{-1}{144p}=\dfrac{1}{6}[/tex]
So, now we can figure the coordinates of points A and B, and the distance between them. That distance is given by the Pythagorean theorem as ...
d^2 = (6r^2 -6p^2)^2 +(r -p)^2
d^2 = (6(1/6)^2 -6(-1/24)^2)^2 +(1/6 +1/24)^2 = 25/1024 +25/576 = 625/9216
Because of the aspect ratio of the rectangle, the area is 2/5 of this value, so we have ...
Rectangle Area = (2/5)(625/9216) = 125/4608 = a/b
Then a+b = 125 +4608 = 4733.
_____
Comment on the solution
The point of intersection of the tangent lines is a fairly messy expression, and that propagates through any distance formulas used to find rectangle side lengths. This seemed much cleaner, though maybe not so obvious at first.
1. Find the sum to
(a) 8 terms of 3 + 6 + 12 + .....
(b) n terms of 27/8+9/4+3/2+....
note(u can do only that was desplayed bybthe attachment
Answer:
7 1/8
57/8
Hope this helps :)
someone help with my math
Answer: height = 1.16 ft
Step-by-step explanation:
14 inches = 1.17 feet
Height of the oven =
Height = volume / lw
H = 1.59 / 1.17*1.17
H = 1.16 feet
Answer:
a. 3.25 m
b.1.2 ft
Solution,
a. Let 'h' be the height of cylinder
Given,
Radius(r)=0.7 m
Volume(v)=5 m^3
Formula to find volume of cylinder
[tex]\pi {r}^{2} h[/tex]
where r= radius and h= height
so,
[tex] \frac{22}{7} \times 0.7 \times 0.7 \times h = 5 \\ or \: h = \frac{5 \times 7}{22 \times 0.7 \times 0.7} \\ or \: h = \frac{35}{22 \times 0.49} \\ or \: h = \frac{35}{10.78} \\ h = 3.25 \: m[/tex]
b.
[tex]volume = 1.59 = \frac{14}{12} \times \frac{14}{12} \times h \\ 1.59 = \frac{ {14}^{2} }{144} \times h \\ h = \frac{1.59 \times 144}{196} \\ h = 1.168 \: ft \\ h = 1.2 \: ft[/tex]
hope this helps...
Good luck on your assignment...
If Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is $ and the amount Sally invested the last year is $ .
Answer:
The amount Sam invested the first year = $2000
The amount Sally invested the last year = $1900
Complete question related to this was found at brainly (ID 4527784):
For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year. The third year, he invested $1,000 more than 1/5 of the amount he invested the first year.
During the same three years, Sally also invested some money at the start of every year. The first year, she invested $1,000 less than 3/2 times the amount Sam invested the first year. The second year, she invested $1,500 less than 2 times the amount Sam invested the first year. The third year, she invested $1,400 more than 1/4 of the amount Sam invested the first year.
If Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is $ and the amount Sally invested the last year is $ .
Step-by-step explanation:
First we would represent the information given with mathematical expressions.
Sam investment for 3 consecutive years:
Year 1 = x dollars
Year 2 = $2,000 less than 5/2 times the amount he invested the first year
Year 2 = (5/2)(x) - 2000
Year 3 = $1,000 more than 1/5 of the amount he invested the first year
Year 3 = (1/5)(x) + 1000
Sally investment for 3 consecutive years:
Year 1 = $1,000 less than 3/2 times the amount Sam invested the first year
Year 1 = (3/2)(x) - 1000
Year 2 = $1,500 less than 2 times the amount Sam invested the first year
Year 2 = 2x - 1500
Year 3 = $1,400 more than 1/4 of the amount Sam invested the first year.
Year 3 = (1/4)(x) + 1400
Since Sam and Sally invested the same total amount at the end of three years, we would equate their sum:
Sum of Sam investment for the 3years = x + (5/2)(x) - 2000 + (1/5)(x) + 1000
= x + 5x/2 -2000 + x/5 + 1000
= (10x+25x+2x)/10 - 1000
= 37x/10 - 1000
Sum of Sally investment for the 3years = (3/2)(x) - 1000 + 2x - 1500 + (1/4)(x) + 1400
= 3x/2 - 1000 + 2x -1500 + x/4 + 1400
= (6x+8x+x)/4 - 1100
= 15x/4 - 1100
37x/10 - 1000 = 15x/4 - 1100
37x/10 - 15x/4 = -100
(148x - 150x)/40 = -100
-2x = -4000
x = 2000
Therefore the amount Sam invested the first year = x = $2000
The amount Sally invested the last year (3rd year) = (1/4)(x) + 1400
(1/4)(2000) + 1400 = 500+1400 = 1900
The amount Sally invested the last year = $1900
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 7?
Outcome
12
2 3 4 5 6 7 8 9 10 11
3 6 8 11 14 16 15 12 9 5 1
Frequency
The percent probability is = [? ]%
Round to the nearest percent.
Enter
Answer: 7/24
Step-by-step explanation:
Answer:
16%
Step-by-step explanation:
Find the total number of throws
3 + 5 + 8+ 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1
When you add these together, you get 100
Find the number of 7s that were thrown
The number of 7s thrown was 16
Find the probability that a 7 was thrown.
P(7) = 16/100 = 0.16
Find the %.
0.16 * 100 = 16%
Find n. Question below.
Answer:
B. 5
Step-by-step explanation:
[tex] \tan(30 ) = x \div 5 \sqrt{3} = \tan(30) \times 5 \sqrt{3} = 5[/tex]
can you plz help me??? Gwen wants to create a congruent shape to the one she made. Her regular pentagon has a perimeter of 24.2 cm. What is going to be the length of the sides in the shape that she creates? A. 4.84 cm B. 5.84 cm C. 9.68 cm D. 121 cm
Answer:
The answer is A) 4.84 cm :P
Step-by-step explanation:
Gwen wants to create a congruent shape, so, all the sides have to be the same size. And if its a pentagon like in your situation , a pentagon has 5 sides so you have to divide 24.2 cm because it's your regular pentagon by 5 (sides) (24.2 cm ÷ 5 sides = 4.84 cm )
I hope I helped you :P
Answer:
The answer is A.
Step-by-step explanation:
If a cone is 5 meters tall and has a radius of 3 meters, What is its volume?
15π m3
60π m3
45π m3
30π m3
Answer: 15π m³
Step-by-step explanation:
Volume of a cone = 1/3πr²h
where,
r = radius = 3 meters
h = height = 5 meters
Volume = 1/3πr²h
Volume = 1/3 × π × 3² × 5
Volume = 1/3 × π × 9 × 5
Volume = 1/3 × π × 45
Volume = 45π/3
Volume = 15π m³
. Mr. Wayne has a 3-year contract for his cell phone service. He pays $124.65 each month to cover everyone in his family. How much will the cell phone service cost over the 3-year period? Explain your answer
Answer:
$4,523.40
Step-by-step explanation:
The cell phone cost is $124.65 per month. With 12 months in a year, we multiply $124.65 x 12 to get the answer $1,507.80. Since one year equals $1,507.80, we multiply this answer by 3 for 3 years to get $4,523.40. Thus three years of service with $124.65 a month would equal $4,523.40.
Towns K and L are shown on a map-
a) Work out the actual distance
between towns K and L.
b) A third town, M, is 150 km due
South of town K.
Mark M on the map with X.
c) Measure the bearing of town L
from town K.
Answer:
a) Use a ruler for the measurement.
b) convert to centimetres then use a ruler to draw the unit on the diagram.
c) measure the angle between K and L from K
See explanations below
A complete question related to this found on brainly (ID:15577387) is stated below.
Towns K and L are shown on a map.
a) Work out the actual distance
between towns K and L.
b) A third town, M, is 150 km due
South of town K.
Mark M on the map with X.
c) Measure the bearing of town L
from town K.
Scale: 1cm represent 50km
Step-by-step explanation:
Scale: 1cm represent 50km
a) To find the actual distance between towns K and L use a ruler to measure the distance between K and L.
Your answer would be in centimetres (cm).
The answer obtained would be multiplied by 50km because from the scale given 1cm represent 50km.
Therefore you'll get the actual distance in km.
b) Here we are told M is 150 km due
South of town K.
Since the length of the initial diagram is in centimeters, we have to find how many centimeters equals 150km.
50km = 1cm
150km = (150km × 1cm)/50km = 150cm/50
150km = 3cm
Now we can represent the distance between K and M on the diagram.
Measure 3cm from K using a ruler in the direction of south (straight line downwards). The distance of M from K would be 3cm on the south of k.
c) Draw a cross on the position of K. Also draw a cross on the position of L. Connect the distance and measure the angle from K to L. The unit would be in degrees.
From the diagram, the angle is greater than 090° but less than 180°
Find attached the diagram.
Answer:
a) 100 km
b) check the photo of my work
c) 117 degrees
Step-by-step explanation:
To get full marks take a look at the photo of my work.
Question (b) use a compass and make sure it’s 3cm aiming down {South} as u can see in the photo, then draw a line aiming {South} with a ruler. On the end of the line you put the (x) point there to get the mark.
Thank you
Please someone help me on these questions
Hey there! :)
Answer:
a) 24 cm²
b) 40.04 cm²
--------------------
Use the formula A = l × w to solve for each rectangle's area:
a)
8 × 3 = 24 cm².
b)
5.2 × 7.7 = 40.04 cm²
Answer:
a) 24
b) 40.04
Step-by-step explanation:
a) Area of a rectangle: length x width
length = 8
width = 3
Plug these values into the equation above:
8 x 3 = 24
b) Same steps as above except with different values for length and width
5.2 x 7.7 = 40.04
The first law of thermodynamics states that ΔE= Q− W. Is this also a statement of the principle of conservation of energy? No, the heat that is added to the system is only used to do work. No, the change in internal energy is the energy lost in the system. Yes, the heat added and the change in internal energy of the gas equal the work done by the piston. Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.
Answer:
yes
Step-by-step explanation:
as we see in the picture the variation of the internal energy of a system is W-Q by analogie we get the second relation in the 2nd picture wich is the first law of thermodynamics
Answer:
Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.
Step-by-step explanation:
I took the K12 test :)
How do you write r2/3 t1/3 in radical form?
I hope this helps you
Al saves pennies. He agreed to give six thirteenths of his pennies to Bev if she would give six thirteenths of what she got from Al to Carl and if Carl in turn would give six thirteenths of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received 2376 pennies. How many pennies did Al have initially?
Answer:
Step-by-step explanation:
Let x represent the number of pennies that Al had initially.
He agreed to give six thirteenths of his pennies to Bev. It means that the number of pennies that he gave to Bev is 6/13 × x = 6x/13
if she would give six thirteenths of what she got from Al to Carl, it means that the number of pennies that Carl received is 6/13 × 6x/13 = 36x/169
if Carl in turn would give six thirteenths of what he got from Bev to Dani and Dani received 2376 pennies, it means that
6/13 × 36x/169 = 2376
216x/2179 = 2376
216x = 2376 × 2179
216x = 5220072
x = 5220072/216
x = 24167
AI had 24167 pennies initially
What is the factored form of 6n4 – 24n3 + 18n? 6 n (n Superscript 4 Baseline + 4 n cubed + 3n) 6 n (n Superscript 4 Baseline minus 4 n cubed + 3 n) 6 n (n cubed minus 4 n squared + 3) 6 n (n cubed + 4 n squared + 3)
Answer:
6n(n³ - 4n² + 3)
Step-by-step explanation:
Given
6[tex]n^{4}[/tex] - 24n³ + 18n ← factor out 6n from each term
= 6n(n³ - 4n² + 3) ← which may be factored further if required
6n(n³ - 4n² + 3) is the factored form.
What is expression?Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Given that,
⇒6n⁴ - 24n³ + 18n
factor out 6n from each term
⇒6n(n³ - 4n² + 3)
There are two factors 6n and (n³ - 4n² + 3) of given expression.
Learn more about expression here:
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Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. Here is the 95% confidence interval for the difference between the two population means, where the measures from women correspond to population 1 and the measures from men correspond to population 2: negative 1.76 g divided by dL less than mu 1 minus mu 2 less than minus 1.62 g divided by dL. Complete parts (a) through (c) below.
a. What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in men? Because the confidence interval does not include includes nothing, it appears that there is is not a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men. (Type an integer or a decimal. Do not round.)
b. Write a brief statement that interprets that confidence interval.
A. There is 95% confidence that the interval from minus 1.76 g divided by dL to minus 1.62 g divided by dL actually contains the value of the difference between the two population means left parenthesis mu 1 minus mu 2 right parenthesis .
B. There is 95% confidence that the difference between the two population means left parenthesis mu 1 minus mu 2 right parenthesis is either minus 1.76 g divided by dL or minus 1.62 g divided by dL .
C. There is 95% confidence that the difference between the two population means is not 0.
D. There is 95% confidence that the interval from minus 1.76 g divided by dL to minus 1.62 g divided by dL does not contain the value of the difference between the two population means left parenthesis mu 1 minus mu 2 right parenthesis .
c. Express the confidence interval with measures from men being population
1. and measures from women being population
2. Choose the correct answer below.
A. negative 1.62 g divided by dL less than mu 1 minus mu 2 less than 1.76 g divided by dL
B. negative 1.76 g divided by dL less than mu 1 minus mu 2 less than minus 1.62 g divided by dL
C. 1.62 g divided by dL less than mu 1 minus mu 2 less than 1.76 g divided by dL
D. negative 1.76 g divided by dL less than mu 1 minus mu 2 less than 1.62 g divided by dL.
Answer:
(a) Because the confidence interval does not include includes 0, it appears that there is not a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.
(b) The correct option is (A).
(c) The correct option is (C).
Step-by-step explanation:
The 95% confidence interval for the difference between the two population mean hemoglobin level is:
CI = (-1.76 < μ₁ - μ₂ < -1.62)
(a)
The hypothesis to test the equality of the mean hemoglobin level in women and the mean hemoglobin level in men is:
H₀: The two population means are equal, i.e. μ₁ = μ₂.
Hₐ: The two population means are not equal, i.e. μ₁ ≠ μ₂.
The (1 - α)% confidence interval can be used to draw conclusion about the hypothesis test.
Decision rule:
If the (1 - α)% confidence interval does not consist of the null value then the null hypothesis will be rejected and vice-versa.
The 95% confidence interval for the difference between the two population means is:
CI = (-1.76, -1.62)
The 95% confidence interval does not consist of the null value, i.e. 0.
Thus, the null hypothesis will be rejected.
"Because the confidence interval does not include includes 0, it appears that there is not a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men."
(b)
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
So, the 95% confidence interval (-1.76, -1.62) implies that there is a 95% confidence that the above interval actually contains the value of the difference between the two population means, (μ₁ - μ₂).
The correct option is (A).
(c)
Now it is provided that the measures from men is denoted as population 1 and measures from women is denoted as population 2.
The confidence interval for the difference between two mean is:
[tex]CI=(\bar x_{1}-\bar x_{2})\pm MOE[/tex]
According to the information:
[tex]\bar x_{1}=\bar x_{2}\\\\\bar x_{2}=\bar x_{1}[/tex]
So, the new confidence interval will be:
[tex]CI=-(\bar x_{2}-\bar x_{1})\pm MOE[/tex]
Then the confidence interval with measures from men being population
1 and measures from women being population 2 is:
[tex]CI=(1.62<\mu_{1}-\mu_{2}<1.76)[/tex]
The correct option is (C).
PLEASE HELP The data in the table are entered into a regression calculator. x 11 23 48 89 126 155 y 49 94 196 362 511 617 Based on the line of best fit produced by the regression calculator, which is the best prediction for the value of y when x = 64? A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 11, 23, 48, 89, 126, 155. Column 2 is labeled y with entries 49, 94, 196, 362, 511, 617. The linear regression equation is y almost-equals 3.98 x + 5.022; r almost-equals 1. 250 260 317 325
Answer:
The correct answer is 260
Step-by-step explanation:
Also known as B
Answer:
260 so Answer B
Step-by-step explanation: