Answer:
The answer to your question is :The value of 5× = 110°
Find the area under the standard normal distribution curve between z=o and z=1.47
Answer:
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Step-by-step explanation:
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The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.
What is Standard normal distribution?The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.
The area under the standard normal distribution curve between z=o and z=1.47 can be found as,
Area = (Z=1.47) - (Z=0)
As per the z-table the values of z are,
Z = 1.47 = 0.9292
z = 0 = 0.5
Area = 0.9292 - 0.5
Area = 0.4292 = 42.92%
Thus, The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.
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which the best estimate of 22 x 97 by using roundings on compatibile numbers? F. 1,800 G. 2.000 H. 2.300 I. 2.100
A parent has washed some nappies in a strong bleach solution and wishes to rinse them so that they contain as weak a bleach solution as possible. By wringing out, the nappies can be made to contain just half a litre of solution. Show that two thorough rinses, such that the solution strength is uniform, the first using 12 litres of water and the second using 8 litres of water, reduces the strength of the
1 425
If 20 litres of clean water is all that is available and the parent is prepared to do only two rinses, how best should the water be divided between the two rinses?
Answer:
a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
Step-by-step explanation:
The given parameters are;
The initial volume of strong bleach solution in the nappies = 1/2 Liters
The volume of water first used to rinse = 12 liters
The volume of water used in the second rinse = 8 liters
Therefore, we have;
The total volume of the water and the concentrated bleach in the first rinse = 1/2 + 12 = 12.5 Liters
The new concentration of the bleach in the first rinse water = (1/2 strong bleach)/12.5 L = (1/2 strong bleach)/25/2 L = 1/2×2/25 = 1/25 strong bleach/L
The volume of the first rinse introduced in the second rinse = 1/2 Liters
The concentration of the bleach introduced in the second rinse = The new concentration of the bleach in the first rinse water = 1/25 strong bleach/L
The volume of water added in the second rinse = 8 liters
The total volume of the water and the bleach in the second rinse = (8 + 1/2) liters = 8.5 liters
The concentration of bleach in the second rinse = (The concentration of the bleach introduced in the second rinse × (Volume of bleach solution introduced in the second rinse))/(The total volume of the water and the bleach in the second rinse)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(8.5 Liters)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(17/2 Liters) = 1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The the quantity of water in the first rinse = x
The amount of water in the second rinse = 20 - x
The concentration of bleach in the first rinse = 1/2/(x + 1/2) = 1/(2·x + 1)
The concentration introduced in the second rinse = 1/2 × 1/(2·x + 1) = 1/(4·x + 2)
The total volume of water and bleach introduced in the second rinse = (20 - x + 1/2) = 20.5 - x
The concentration of bleach in the second rinse = 1/(4·x + 2)/(20.5 - x)
The minimum value for the concentration can be found from taking the derivative of the function for the concentration and equation to zero as follows;
[tex]\dfrac{\mathrm{d} \dfrac{1}{\left ( 4\cdot x + 2 \right )\cdot \left ( 20.5 - x \right )}}{\mathrm{d} x} = \dfrac{2\cdot \left ( x - 10 \right )}{\left ( 2\cdot x + 1 \right )^{2}\cdot \left ( 20.5 - x \right )^{2}} = 0[/tex]
2·(x - 10) = 0
x = 0/2 + 10 = 10
x = 10
The the quantity of water in the first rinse = x = 10 liters
The the quantity of water in the first rinse = 10 liters
The amount of water in the second rinse = 20 - x = 20 - x = 20 - 10 = 10 liters
The amount of water in the second rinse = 10 liters
The water should be divided into two quantities of 10 liters each
Therefore, the water should be divided into two quantities of 10 liters each to give a final bleach solution concentration of 1/(4·x + 2)/(20.5 - x) = 1/(4×10 + 2)/(20.5 - 10) = 1/42 × 1/10.5 = 1/441 concentration/liter.
Answer: a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
In the equation ax + 6 = 15 , a is a negative integer. What is true about x?
Can someone please help me
Answer:
130
Step-by-step explanation:
angle DEC and angle GHE are corresponding so they would be congruent or equal.
Answer:
130
Step-by-step explanation:
angle DEC and angle GHE are corresponding angles and they are same if they sit in parallel lines.
Does this represent a function?
Answer:
No.
Step-by-step explanation:
A graph must pass the Vertical Line Test in order to be a function. Since this graph doesn't pass the test, it is not a function.
However, this graph is a conic, specifically a hyperbola.
What is 6/11 in decimal form, to the nearest hundredth?
Answer:
0.55
Step-by-step explanation:
Carta and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost sa5 and was on sale for 20% off the original price. Which suitcase was the bra? A Carta because her sutase cot $11 25 2. Daniel because his suitcase cot $17. Can cause decor, ST12 D. Dariel because ts sutcace was docoumed by S17
Answer:
Carla's suitcase was a better purchase.
Step-by-step explanation:
The complete question is:
Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?
Solution:
Cost Price of Carla's suitcase = $75Discount% for Carla = 19%
The amount paid by Carla is,
[tex]\text{Amount}=CP\times [1-d\%]=75\times [1-0.19]=60.75[/tex]
So, the amount paid by Carla was, $60.75.
Cost Price of Jeana's suitcase = $85Discount% for Jeana = 20%
The amount paid by Jeana is,
[tex]\text{Amount}=CP\times [1-d\%]=85\times [1-0.20]=68[/tex]
So, the amount paid by Jeana was, $68.
Carla's suitcase was a better purchase.
A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby. One day in early April, she left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house. At noon a call came in from the Derby saying she was in! Her father immediately jumped on his scooter and rides at a breezy 15 miles per hour to try and track her down and tell her the good news. On what scale would you measure the number of minutes the father must ride his scooter before catching up to his daughter? A. Hundreds B. Thousands C. Ten thousands D. Tens
The answer fam is............ A. Hundreds
The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.
What is the rate?It is defined as the change in values of a dependent variable with respect to the independent variables.
We have:
A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.
She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house
The rate = 10 miles/hour
Father's scooter rate = 15 miles/hour
Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.
Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.
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PLZ HELP List all the possible numbers of pennies that Gigi could have in order to have her pennies into rectangular array with more than one row or column and she has a remainder (in this case leftover pennies). Remember she must have between 10 and 30 pennies total.
Answer:
If Gigi has between 10 and 30 pennies, all the possible combinations that form a rectangle with more than 1 column and row are:
2 x 5 or 5 x 2 (10 pennies in total)2 x 6 or 6 x 2 (12 pennies in total)2 x 7 or 7 x 2 (14 pennies in total)2 x 8 or 8 x 2 (16 pennies in total)2 x 9 or 9 x 2 (18 pennies in total)2 x 10 or 10 x 2 (20 pennies in total)2 x 11 or 11 x 2 (22 pennies in total)2 x 12 or 12 x 2 (24 pennies in total)2 x 13 or 13 x 2 (26 pennies in total)2 x 14 or 14 x 2 (28 pennies in total)2 x 15 or 15 x 2 (30 pennies in total)3 x 4 or 4 x 3 (12 pennies in total)3 x 5 or 5 x 3 (15 pennies in total)3 x 6 or 6 x 3 (18 pennies in total) 3 x 7 or 7 x 3 (21 pennies in total)3 x 8 or 8 x 3 (24 pennies in total)3 x 9 or 9 x 3 (27 pennies in total)3 x 10 or 10 x 3 (30 pennies in total)4 x 4 (16 pennies in total)4 x 5 or 5 x 4 (20 pennies in total)4 x 6 or 6 x 4 (24 pennies in total)4 x 7 or 7 x 4 (28 pennies in total)5 x 5 (25 pennies in total)5 x 6 or 6 x 5 (30 pennies in total)Lin and Elena have discovered they have so much in common. 1. They each walk 500 units to school. Who walks 500 feet, and who walks 500 yards? A grid of three buildings labeled "School", "Lin's house", and "Elena's house". Select the correct choice. A Lin walks 500 feet and Elena walks 500 yards.Lin walks 500 feet and Elena walks 500 yards. B Lin walks 500 yards and Elena walks 500 feet.Lin walks 500 yards and Elena walks 500 feet.
Answer:
Lin walks 500 feet and Elena walks 500 yards
Step-by-step explanation:
First of all, 1 yard is greater than 1 feet, there relation is given by:
1 yard = 1 feet
From the image attached, we can see that Lin's house is closer to the school than Elena house, therefore we can come to the conclusion that Lin walks 500 feet and Elena walks 500 yards because Elena house is farther away from the school. The distance from Elena house to the school is about 3 times the distance from Lin house to the school.
Answer: lin walks 500 feet and elena walks 500 yards
Step-by-step explanation:
1 foot is smaller then one yard
PLEASE HELP!!!! Carlos begins his workout by stretching. Then he spends an equal amount of time on each workout machine. The equation y = 8x + 10 represents the total time, in minutes, of Carlos' workout if he uses x workout machines.Explain what the slope and y-intercept of the equation represent in this situation.
A. Carlos spends 8 minutes stretching And 10 minutes on each workout machine
B. Carlos Spend 10 minutes stretching and eight minutes on each workout machine
C. Carlos Uses eight workout machines for 10 minutes each
D. Carlos spends 10 minutes on one machine and 8 minutes on another
Answer:
b
Step-by-step explanation:
because X= the amount of time hes on each machine. so 8 times x
Answer: B
Step-by-step explanation:A P E X
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
55 is what percent of 100?
Answer:
55%
Step-by-step explanation:
100 is a whole number. Half of 100 is 50 meaning that you have divided 100 by 1/2 or 50%.
55/100 = 55%
Answer: 55%
Step-by-step explanation:
A car and a motorcycle, starting 35 miles apart, travel directly away from each other. The car averages 60 miles per hour and the motorcycle averages m miles per hour. The distance (d) between them after h hours can be determined using the equation below. Which equation could be used to find the distance between the car and the motorcycle after 2.5 hours?
Answer:
d = 60h + 35
Step-by-step explanation:
60 = Slope
35 = Y-intercept
You would just input whatever amount of time you need to the variable h in order to find the value of d.
A baker's bread recipe calls for
2 cups of flour. He plans to make 2 loaves of
bread.
If the baker's measuring scoop holds
cup, how many scoops of
flour will he need in all?
1010^100 x 27 i tried to put this into a calculator if someone can figure that out you are the smartest person on earth
Answer:
7.302997e+301
Step-by-step explanation:
Answer:
calculator cannot hold that much digits
Step-by-step explanation:
12. What is a pronoun?
Answer:
Definition. A pronoun (I, me, he, she, herself, you, it, that, they, each, few, many, who, whoever, whose, someone, everybody, etc.) is a word that takes the place of a noun. In the sentence Joe saw Jill, and he waved at her, the pronouns he and her take the place of Joe and Jill, respectively.
i will literally pay you pls help me :(
The answer is 35
Since they are supplementary they both equal 180 degrees.
(3x+10)+(2x-5)=180
Add them up
5x-5=180
Subtract 5 from both sides
5x=180-5
5x=175
Divide 5 from both sides
x=35.
helpppp. I need to answers and its rotating around the orgin.
Please help! I have about a hour!
Use the diagram to find the measures of all the angles, given that m< 1 = 76°
Answer:
m< 3 = 76°, m< 3 = 104°, m< 3 = 76°,
Step-by-step explanation:
360°
m< 1 = m< 3 → 76° (76°*2 = 152°)
360° - 152° = 208°
208°/2 = 104°
m< 2 = m< 4 → 104°
Examine the department names for each hypothetical company, and then select the organizational type from the drop-down menu. If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a organizational structure. If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a organizational structure. If a company has departments such as Northwest, South, and Northeast, it probably has a organizational structure.
Answer: the first one is a matrix. the second one is functional.
Step-by-step explanation:
Answer:
If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a
✔ matrix
organizational structure.
If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a
✔ functional
organizational structure.
If a company has departments such as Northwest, South, and Northeast, it probably has a
✔ divisional
organizational structure.
I went to the grocery store to buy avocados. They were $3 for 4. How much will it cost me for 10?
Answer:
7.50$
Step-by-step explanation:
3+3+1.5=7.50$.
Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q. P
Answer:
train tracks
Step-by-step explanation:
They have simple rotations and movemental frequences
The ratio of collectible stamps Georgia owns to stamps that Julie owns is 2:1. Julie has 64 stamps. How will the ratio of Georgia’s stamps to Julie’s stamps change if they both sell half of their stamps? Explain.
Answer:
Step-by-step explanation:
As both are selling half of their stamps, the ratio won't change. It will be same:
Reason:
Georgia : Julie = 2 : 1
Let total stamps = x
Part of stamps that Georgia has = 2/3 of x
Part of stamps that Julie has = 1/3 of x
[tex]\frac{1}{3}x=64\\\\x = 64*3\\\\x= 192[/tex]
Total stamps = 192
Stamps with Georgia = 192 - 64 = 128
After selling half of his stamp, Georgia has = 128÷2 = 64
After selling half of her stamp, Julie has = 64 ÷ 2 = 32
Ratio of stamps after selling half of their stamps = 64 : 32
= 2 : 1
The ratio of collectible rocks Juanita owns to rocks that Aisling owns is 3:1. Aisling has 32 rocks. How will the ratio of Juanita’s rocks to Aisling’s rocks change if they both sell one fourth of their rocks? Explain.
Juanita : Aisling = 3 : 1
Let total rocks = x
Part of rocks that Juanita has = 3/4 of x
Part of rocks that Aisling has = 1/4 of x
[tex]\frac{1}{4}x=32\\\\x = 32*4\\\\x= 128[/tex]
Total rocks = 128
Rocks with Juanita = 128 - 32 = 96
After selling one fourth of his rock, Aisling has = 32 ÷ 4 = 8
After selling half of her rock, Juanita has = 96 ÷ 4 = 24
Ratio of rocks after selling one fourth of their rocks =24 : 8
= 3 : 1
write 7 2/6 as a fraction greater than 1
nice and ez question right?
In the diagram below, m
Answer:
∠AEB = 62°
∠CED = 62°
∠CDE = 36°
Step-by-step explanation:
The measure of ∠m = ∠CDE of the triangle and ∠CDE = 36°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ΔABE
Let the second triangle be represented as ΔCDE
The measure of angle ∠EAB = 62°
The measure of angle ∠ABE = 56°
The sum of the interior angles of a triangle = 180°
So , the measure of angle ∠AEB = 180° - ( 62° + 56° )
The measure of angle ∠AEB = 180° - 118°
The measure of angle ∠AEB = 62°
And , by vertically opposite angles
The measure of angle ∠AEB = measure of angle ∠CED
And , the measure of ∠CDE = 180° - ( 82° + 62° )
The measure of ∠D = 180° - 144°
The measure of ∠D = 36°
Therefore , the measure of ∠m = 36°
Hence , the measure of angle ∠D is 36°
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An open, rectangular box with length of 6 feet, width of 4 feet, and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
Complete Question
An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
A. Find the cost of painting this open box.
B. Find the weight of the water in the filled box
Answer:
A
[tex]x = \$ 294[/tex]
B
[tex]z = 3720 \ pounds[/tex]
Step-by-step explanation:
From the question we are told that
The length is [tex]l = 6 \ ft[/tex]
The width is [tex]b = 4 \ ft[/tex]
The height is [tex]h = 2.5 \ ft[/tex]
Generally the total surface area of the open, rectangular box is mathematically represented as
[tex] T_ A = 2lb + 2lh + 2bh[/tex]
=> [tex] T_ A = 2(6 * 4) + 2(6 * 2.5) + 2(4 * 2.5)[/tex]
=> [tex] T_ A = 98 \ ft^2 [/tex]
From the question we are told that
$36.00 worth of paint covers [tex]12 ft^2[/tex]
So $x worth of paint covers [tex]98 \ ft^2[/tex]
=> [tex]x = \frac{98 * 36}{12}[/tex]
=> [tex]x = \$ 294[/tex]
Generally the volume of the open, rectangular box is mathematically represented as
[tex]V = l * b * h[/tex]
=> [tex]V = 6 * 4 * 2.5[/tex]
=> [tex]V = 60 \ ft^3 [/tex]
From the question we are told that
[tex]1 ft^3[/tex] weigh 62 pounds
[tex] 60 \ ft^3[/tex] weigh z pounds
=> [tex]z = \frac{60 * 62}{1}[/tex]
=> [tex]z = 3720 \ pounds[/tex]
Find X if PQR is an isosceles triangle. Please
Answer:
x=9
Step-by-step explanation:
because its isosceles, and as stated PQ = QR
so...
2x+1=3x-8
solve for x
x=9
Hope you are having a good day!
Answer:
The value of X in isosceles triangle is 9
A segment with endpoints (3.7) and (-8.7) is rotated
around the origin. How long will the new segment be?
A-8
B-5.5
C-22
D-11
b
Step-by-step explanation: