The daily expense for food and lodging will be 337.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day.
Assuming the data are normally distributed if the family had a z-score of 1.5.
Then the daily expense for food and lodging will be
z = (x - μ) / σ
1.5 = (x - 247) / 60
90 = x - 247
x = 247 + 90
x = 337
The daily expense for food and lodging will be 337.
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n the card game The Dragons of Castlenook, players score points based on the cards they have at the end of the game. Before playing, Reagan randomly selects 13 cards from the 80-card deck and gets 5 dragons, 1 cyclops, 4 ogres, and 3 centaurs. Based on the data, estimate how many ogre cards are in the deck.
Using proportions, it is found that the estimate of the number of ogre cards in the deck is of 24.6.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, out of 13 cards, 4 are ogres. How many are ogres out of 80? The rule of three is given by:
13 cards - 4 ogres.
80 cards - x ogres.
Applying cross multiplication:
13x = 320.
x = 320/13
x = 24.6.
The estimate of the number of ogre cards in the deck is of 24.6.
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MARKING BRAINLIEST!
Two numerical patterns are shown below:
Pattern A: 6, 12, 18, 24, 30
Pattern B: 12, 24, 36, 48, 60
Select the statement that describes the numerical patterns.
A. The rule for Pattern B is "multiply by 2."
B. The rule for Pattern A is "multiply by 2."
C. Each term in Pattern B is one half the corresponding term in Pattern A.
D. Each term in Pattern A is one half the corresponding term in Pattern B.
Answer:
D
Step-by-step explanation:
A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made from approximately 17 square inches of material. Isosceles triangles K I T and K E T are connected at side K T. The length of K T is 10 inches. The length of sides K E and E T are 8 inches. The lengths of sides K I and I T are 6 inches. Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot How much material is used for the entire kite, quadrilateral KITE? Round to the nearest square inch. 31 square inches 34 square inches 48 square inches 62 square inches.
The material needed for the kite is the area of the kite
The amount of material needed for the entire kite is 48 square inches
How to determine the amount of materialThe given parameters:
KI =6 inches
ET = 8 inches
KT=10 inches
Area of ΔKIT = 17 square inches
Start by calculating the area of the bottom triangle using:
Area = 0.5 * Base * Height
So, we have:
Area = 0.5 * KI * KT
This gives
Area = 0.5 * 6 * 10
Area = 30
The amount of material used is then calculated as:
Material = Area of the bottom triangle + Area of ΔKIT
This gives
Material = 30 + 17
Material = 47
This is approximately 48
Hence, 48 square inches of material is used for the entire kite
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Answer:
The answer is 48 square inches or option C on EDG
Step-by-step explanation:
:)
3(2x+1)+7=6x-3-2(2-4x)
What is x?
Give as an improper fraction in its simplest form
Answer:
Step-by-step explanation:
Use distributive property:a*(b +c) = (a*b) + (a*c)
3(2x + 1) + 7 = 6x - 3 - 2(2-4x)
3*2x + 3*1 +7 = 6x - 3x -2*2 + (-2)*(-4x)
6x + 3 + 7 = 6x - 3 - 4 + 8x
6x + 10 = 14x - 7
6x - 14x = - 7 - 10
-8x = -17
x = -17/-8
x = 17/8
Please answer, I desperately need your help! There's a great reward in store if you prove yourself to be of assistance!
Answer:
4
Step-by-step explanation:
SIKE HEHEHEHEHEHEHEHEHEHEHE
its 5 dummy
Use the algebra tiles to model x – 2. Then choose the answer that describes the correct tiles. One blue x tile and two orange tiles one orange x tile and two blue – tiles one blue x tile and two blue – tiles one orange x tile and two orange tiles.
The correct statement which describe about the algerbric tile one orange x tile and two blue – tiles
What are algerbra tiles?
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x -2.
Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.
Using algebra tiles provides a more visual way for us to solve our problems.
The correct statement which describe about the algerbric tile one orange x tile and two blue – tiles
Hence, the correct statement which describe about the algerbric tile one orange x tile and two blue – tiles
To know more about algerbra tiles click the link given below.
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Answer:
its B
Step-by-step explanation:
The circle below represents one whole
What percent is represented the shaded area
Answer:
50%
Step-by-step explanation:
Imagine a pizza, the pizza is cut into 4 slices and 2 have already been eaten. There you go! You now have the fraction 2/4. 2/4=1/2. 1/2 as a percentage is 50%.
Answer plsssssssssssssss
Answer:
the answer is 3
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Determine whether the lines are parallel, intersect, or coincide.
Answer:
They intersect :)
Step-by-step explanation:
Hope this helps!
help please i am struggling
Answer:
your x point is 2
Then, to help you for y=2x just make a table of values
So for y=2(1) y=2, y=2(2) y=4, y= 2(3) y=6
So theres 3 points to start which gives you a hint that each point goes up two times. (0,0) (1,2) (2,4) (3,6)
From the picture attached you can the y intercept is (2,4)
Final Question: What is the measure of x?
Angles are not necessarily drawn to scale.
Answer:
[tex]x=114[/tex]
Step-by-step explanation:
Since we know that a straight line is 180°, and we know that one of the angles is 66°, we can write a simple equation to figure this out: [tex]x+66=180[/tex] Then, to solve the equation all you would need to do is subtract [tex]66[/tex] from both sides to get [tex]x=114[/tex].
Can someone help me please?
Answer:
√28Step-by-step explanation:
The diagonal of a square is √2 times the side length.
1.For BD = 4, AD = 4/√2 and AE is half that, or 2/√2 = √2.
The length of AE is √2.
__
2.The area of the square is the square of the side length:
Area = AE² = (2√2)² = 8
_____
Additional comment
The area of a quadrilateral in which the diagonals are perpendicular is found to be half the product of the diagonal lengths. Here, that would be ...
1/2(4)(4) = 8 . . . square units
help me ..............................
Answer:
what you have is correct the last answer is 14. You just have to do 4 x 3.5 = 14
EXTRA POINTS! You scored 74, 88 and 82 on three tests. Write and solve an inequality to find the minimum score you need
to earn on the fourth test so that your mean test score is at least an 84. Please show process!
Answer:
You would at least a 90 to average out your score to an 84
but I dont know how to get the inequality sorry
I hoped this helped a little
Step-by-step explanation:
Fisrt you will need to find the average of the numbers by adding them up and dividing by 3 ( because there are 3 numbers )
which would give you 81
then you have to get at least above an 81 to make it go higher but you may have to do a little more than that there for 90 is what you need
i need help with this....8th grade math!
Answer:
A)
Step-by-step explanation:
volume of old box is 8·3·11 which is 264 cubic inches
volume of new box is 10·10·3 which is 300 cubic inches
What is the relationship between the lines with the following equations?
2x+6y=12
y=3x−8
A) The lines are neither parallel nor perpendicular.
B) The lines are the same.
C) The lines are parallel.
D) The lines are perpendicular.
Answer:
D
Step-by-step explanation:
The answer is D because if you work the equations out the one m= - 1/3 and the other m=3
Find the 35th term of the sequence
Answer:
3552
Step-by-step explanation:
So, basically, you use the formula and plugin 37, the number of terms, into n.
So:
96(37)
96(37) = 3552
Hope this helps!
Please mark brainliest.
starting at (0,0 0 if you were to go 10 units left and 6 units up what coordination would you end up a
Answer:
(-10, 6)
Hope this helps! Please mark Brainliest!
Can the sides of a triangle have lengths 7.6, 2.5, and 2.2?
Answer:
No.
Step-by-step explanation:
Given the following question:
[tex]7.6, 2.5, 2.2[/tex]
In order for any given sides to form a triangle it has to pass the triangle inequality theorem, which is the sum of any two given sides of the triangle has to be greater than the third side in order for it to be a triangle.
In this case...
[tex]7.6, 2.5, 2.2[/tex]
[tex]7.6 + 2.5 = 10.1[/tex]
[tex]10.1 > 2.2[/tex]
[tex]2.5+2.2=4.7[/tex]
[tex]4.7 < 7.6[/tex]
[tex]7.6 +2.2=9.8[/tex]
[tex]9.8 > 7.8[/tex]
Therefore, your answer is "no" the following sides do not form a triangle.
Hope this helps.
3/4 cup juice per 2/3 cup sugar, find cups juice per cup sugar
Answer:
9/8
Step-by-step explanation:
divide 3/4 by 2/3
use the KCF method
so your gonna get 3/4 divided 2/3 then change the division to multiplcation and then flip the 2/3 to 3/2
now multiply across: 3/4 × 3/2=9/8
What is the math answer 1/8 x 1/3?
Answer:
1/8 x 1/3 = 1/24 :)
Step-by-step explanation:
Answer:
1/24
Step-by-step explanation:
take
1/8 x 1/3
so 1x1 = 1
1/
then 8x3=24
1/24
2 1/3 - 1/3
Easy question
Answer:
the answer is 2
Step-by-step explanation:
just subtract 2 -
Equivalent systems of two linear equations______
have the same solutions
A. always
B. sometimes
C. never
Answer:
B
Step-by-step explanation:
Its B i took the quiz and got it right so hope this helps u
Select the choice that follows the correct sequence of steps in solving this inequality. 6x + 23 > -2x + 7
Answer:
x>2Step-by-step explanation:
6x+23>-2x+76x+2x>7-238x>16 divide 8 both sidex>2aswer.Four numbers are written in a row. the average of the first two is 21, the average of the middle two is 26, and the average of the last two is 30. what is the average of the first and last of the numbers?
will give brainliest
(a) 24. (b) 25. (c) 26. (d) 27. (e) 28.
Using the 3 given means, we can see that the mean of the first and last digits is 25, so the correct option is b.
What is the average of the last two numbers?We have 4 numbers:
a, b, c, d.
We know that:
(a + b)/2 = 21(b + c)/2 = 26(c + d)/2 = 30And we want to get
(a + d)/2
We can write this as:
(a + b)/2 - (b + c)/2 + (c + d)/2 = 21 - 26 + 30 = 25
The correct option is b.
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A store sells two brands of applesauce.
Which brand provides more servings?
brand A: 24 1/2 ounces 2/3 cup per serving
brand B: 30 2/3 ounces 3/4 cup per serving
Alternative text
A.
Brand A because it provides 4 19/32 servings.
B.
Brand A because it provides 16 1/3 servings.
C.
Brand B because it provides 5 1/9 servings.
D.
Brand B because it provides 23 servings.
This problem is a dog of a bear because of the units.
It tells us how many ounces are in a jar, but how many cups are in a serving.
So in order to figure out how many servings are in a jar, we have to either change the jar from ounces to cups, or else change the serving from cups to ounces.
And of course, in order to do either of those things, we need to know how many ounces make 1 cup ! Hint: 1 cup = 8 ounces .
AND PLUS trying to work with all the fractions is gonna be ridiculous too.
Jar-A: (24 1/2 ounces) / (8 ounces/cup) = 3 1/16 cups
How many servings is that ?
(3 1/16 cups) / (2/3 cup/serving) = 4 19/32 servings
Jar-B: (30 2/3 ounces) / (8 ounces/cup) = 3 5/6 cups
How many servings is that ?
(3 5/6 cups) / (3/4 cup/serving) = 5 1/9 servings
(5 1/9) is more than (4 19/32). So Jar-B provides more servings than Jar-A.
Choice - C
Note: Both brands are great for people who are on a diet, because they have to work off so many calories working out the stupid fractions, and it takes so long that they never get around to eating the applesauce.
Answer:
ar-B provides more servings than Jar-A. Choice - C
Challenge An arts academy requires there to be 5 teachers for every 95 students and 6 tutors for every 48 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 80 students?
Step-by-step explanation:
T : S
5 : 95
1 : 19
Tu : S
6. : 48
1. : 8
10 : 80
There are 19 students per teacher.
There are 8 students per teacher.
The school will need 10 tutors if there is 80 students.
How do you find the length of AC? Picture below
Answer:
12cm
Step-by-step explanation:
this is a right angle triangle
so taking 'b' as base, 'a' as perpendicular and 'c' is hypotenuse which is equal to 13cm
and 1 angle is given which 22.6 degrees
and we need to find out 'b' which is AC
so we have
sin(x)= perpendicular/hypotenuse
cos(x)= base/hypotenuse
tan(x)=perpendicular/base
cos(22.6) = base/hypotenuse=13
cos(22.6)*13 = base
0.9232*13 = base
base = 12cm
A segment has one endpoint at the origin O and the other endpoint at A(12,36). If point B is located on OA such that OA/BA=3 then which of the following are the coordinates of B?
(1) (4,12) (2) (9,27) (3) (8,24) (4) (36,108)
The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).
How to find the coordinates of point B?We know that:
O = (0, 0)A = (12, 36).And point B is between these two, such that:
OA/BA = 3
Meaning, OA is 3 times BA.
Now, if we apply a factor of 1/3 to point A, we get:
(12/3, 36/3) = (4, 12)
So, the distance between A and B is equal to the distance between the origin and (4, 12) (a change of 4 units in the x-component and 12 units in the y-component).
The point that meets that condition is (8, 24), which is given by multiplying by 2 the previous coordinates.
The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).
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Please help me ASAP ...
Answer:
statements is 1,3,7,8 and reasons are 2, 4, 5, 6
Step-by-step explanation:
Answer:
<4 ~= <8 - Corresponding Angles Theorem
<2 ~= <8 - Alternate Exterior Angles Theorem
<2 ~= <4 - Vertical Angles Theorem
line I || line m - Transitive Property