Answer:
sue = 12
lily = 10
heather = 5
Step-by-step explanation:
'l' = lily's age
'h' = heather's age
sue = 'l + 2' but, since 'l' is 2h we can say sue's age is '2h+2'
l = 2h
2h+2 + 2h + h = 27
5h = 25
h = 5
l = 2(5) = 10
sue is 10+ 2, or 12
Scores on the SAT Mathematics test (SAT-M) are believed to be Normally distributed with mean µ. The scores of a random sample of three students who recently took the exam are 550, 620, and 480. A 95% confidence interval for µ based on these data is
Answer:
The 95% confidence interval for µ based on these data is (408,692).
Step-by-step explanation:
Sample mean and standard deviation:
The first step to solve this question is finding the sample mean and standard deviaton.
[tex]\overline{x} = \frac{550+620+480}{3} = 550[/tex]
[tex]s = \sqrt{\frac{(550-550)^2+(620-550)^2+(480-550)^2}{3}} = 57.1548[/tex]
Confidence interval:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 3 - 1 = 2
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 4.3027
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 4.3027\frac{57.1548}{\sqrt{3}} = 142[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 550 - 142 = 408
The upper end of the interval is the sample mean added to M. So it is 550 + 142 = 692
The 95% confidence interval for µ based on these data is (408,692).
Select all the expressions which are equivalent to –43
4
3
p – 25
2
5
.
–43
4
3
p + 25
2
5
–25
2
5
– 43
4
3
p
43
4
3
p – 25
2
5
–43
4
3
p + (–25
2
5
)
25
2
5
+ 43
4
3
p
Answer:
–43p + (–25) is Equivalent to –43p – 25.
Step-by-step explanation:
Needed: 25 – 43p , 25 – 4 , p 3. –25p –43 , –43p + (–25)
can someone help me with this thank you
Answer:
324?
Step-by-step explanation:
Paisley is going to invest in an account paying an interest rate of 3.4% compounded
daily. How much would Paisley need to invest, to the nearest dollar, for the value of
the account to reach $400 in 16 years?
Answer:
232
Step-by-step explanation:
Milk A small dairy sells milk to local grocery stores. 1.a gallon of milk weighs between 8 and 9 pounds Part A about how much ounces does a gallon of milk way? Explain your answer
Answer:
between 128 and 144 ounces
Step-by-step explanation:
Recall that 1 pound equals 16 ounces.
8 pounds is 128 oz; 9 pounds is `144 oz.
Therefore, a gallon of milk weighs between 128 and 144 ounces.
42 is greater than 24, 24 is less than 42
Answer:
Step-by-step explanation:
42 > 24
24 < 42
Si 4x+2x=2, el valor de x es?
Answer:
answer is 1
Step-by-step explanation:
Answer:
[tex]x = \frac{1}{3} [/tex]
Step-by-step explanation:
Recopilar términos semejantes:
[tex]6x = 2[/tex]
Divide ambos lados de la ecuación por 6:
[tex] \frac{6x}{6} = \frac{2}{6} [/tex]
Por lo tanto, la respuesta será x = 1/3
Find the reciprocal of the numbers below: a. 1/3 b. 4/5 c. 7
Answer:
a. 1/3 = 3 b. 4/5 = 5/4 c. 7 = 1/7
Step-by-step explanation:
Reciprocal means switching the numerator to the denominator and the denominator to the numerator. Whenever you have a whole number, there is an imaginary 1 as the denominator that is why the reciprocal of 7 is 1/7.
Need help on this question asap I would really appreciate it please
Answer:
Volume of cube = 512 inch³
Volume of sphere = 268 inch³ (Approx.)
Volume of empty space = 244 inch³
Step-by-step explanation:
Given:
Side length of cube = 8 inches
radius of sphere = 4 inches
Find:
Volume of cube
Volume of sphere
Volume of empty space
Computation:
Volume of cube = Side³
Volume of cube = 8³
Volume of cube = 512 inch³
Volume of sphere = (4/3)πr³
Volume of sphere = (4/3)(3.14)(4)³
Volume of sphere = 268 inch³ (Approx.)
Volume of empty space = Volume of cube - Volume of sphere
Volume of empty space = 512 - 268
Volume of empty space = 244 inch³
You have found a house that you would like to purchase. The amount of the home is $525,000. You would like to finance the home through your local credit union but they require a 8% down payment. Determine the amount needed for the down payment so that the bank will finance the home purchase.
Answer:
4200
Step-by-step explanation:
hey! 525,000%8=42=>4200
If ABC and EDC are similar, what is the value
of x?
A
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
BC/DC = EC/AC , substitute values
3x×5/32 - 5x-5/56 ( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
The cost to rent an instrument is $65 for the first month. It costs $30 for each additional month, x, that the instrument is rented. Witch expression represents the total cost of renting the instrument?
Answer:
y=65+ 30x
Step-by-step explanation:
Given data
Cost of rental= $65
Additional month= $30
The expression for the total cost for x months is
y=65+ 30x
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 1 3 π r 2 h
Answer:
Step-by-step explanation:
I don’t understand how to do this . Any help would be appreciated thank you .
(B)
Step-by-step explanation:
Look at the triangle with the 65° angle. Note that the 65° angle is opposite the 24-ft side and p is the length of the triangle's hypotenuse so let's use the definition of sine 65°:
sin 65 = opposite/hypotenuse
= (24 ft)/p
Solving for p,
p = (24 ft)/(sin 65°)
= 26.48 ft
Can someone check this answer before i turn it in?? don't say yes just to get points i really need to pass this
I got 3141.59 on a calculator after doublechecking but it doesn't seem right
Answer:
ya its right
Step-by-step explanation:
Convert 3.12 mm into cm, m and km.
Step-by-step explanation:
to cm = 3.12×100 = 312
to m = 3.12×1000 = 3120
:) HOPE THIS HELPS YOU
what is the speed of the person from point c to point d?
Answer:
A
Step-by-step explanation:
Find the area of the triangle
Answer:
Step-by-step explanation:
area of triangle=base*height/2
=8*3/2
=24/2
=12 m^2
the coefficient in the term 7xy is
Answer:
The coefficient is 7
Step-by-step explanation:
The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.
I JUST NEED SOME HELP PLEASE!! ~0~
Find the RATIO and the EXACT VALUE of the given Tan B.
Answer:
Ratio: Tan B = 12/5
Exact value in degrees: [tex]67.38^{o}[/tex]
Step-by-step explanation:
SOH CAH TOA
Means Tan B means opposite/adjacent.
Tan B = 12/5
B = [tex]Tan^{-1} (\frac{12}{5})\\[/tex]
B = [tex]67.38^{o}[/tex]
6. Write an equation that represents the
relationship “4 more than a number is 5"?
Answer:
4+x=5
Step-by-step explanation:
4+x=5
Complete the table so there is a proportional relationship between cups of blue paint and cups of red paint.
Answer:
Blue paint: 1, 2, 2.8, 10
Red paint: 2.5, 5, 7, 25
Step-by-step explanation:
constant of proportionality: 2.5
2.5x = y
The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.
4-column table with 3 rows. First column has no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. The second column is labeled less than 40 dollars a week with entries 33, 27, 60. The third column is labeled greater than or equal to 40 dollars a week with entries 77, 3, 80. The fourth column is labeled total with entries 110, 30, 140.
Marcel converts the frequency table to a conditional relative frequency table by row.
4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0
Which value should he use for Y? Round to the nearest hundredth.
0.19
0.45
0.82
0.90
Answer:
D.) 0.90
Step-by-step explanation:
Doing the unit test review on EDG right now! :D
Wish you all luck~
Have a good day! :3
(Evidence: screenshot below!)
The value for Y to the nearest hundredth is 0.90; option D.
What is the value for Y?The value for Y is obtained from the data in the frequency table.
By solving for Y from the frequency table:
Y + Z = 0
Y + Z = 1.0
Either Y is 0 or Y is 1.
Therefore, Y is approximately 0.90 to the nearest hundredth.
Learn more about frequency table at: https://brainly.com/question/16148316
#SPJ9
Solve for x (geometry)
Answer:
x = -6°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
Identify and set up
x + 81 + 65° + 40° = 180°
Step 2: Solve for x
[Addition] Combine like terms: x + 186° = 180°[Subtraction Property of Equality] Subtract 186° on both sides: x = -6°What is the value of this expression n = 5? 45/n +10
Answer:
19
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
45/5=9
9+10=19
Quadratic equation I need help
When solving a system of inequalities or just an inequality (like 2-4y > 14), in what condition the sign flip to the other way?
Answer:
When the coefficient of the variable is negative, as shown below,
Step-by-step explanation:
2-4y>14
-4y>14-2
-4y>12, divde through by - 4
y>-3
Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Work out the value of x
Given:
The given sets are:
Set a : 200, 104, 100, 160.
Set b: 270, 400, 483, 300, x.
Mean of set a: mean of set b= 3:8
To find:
The value of x.
Solution:
Formula for mean:
[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}[/tex]
The mean of set of a is:
[tex]Mean=\dfrac{200+104+100+160}{4}[/tex]
[tex]Mean=\dfrac{564}{4}[/tex]
[tex]Mean=141[/tex]
The mean of set of b is:
[tex]Mean=\dfrac{270+400+483+300+x}{5}[/tex]
[tex]Mean=\dfrac{1453+x}{5}[/tex]
[tex]Mean=\dfrac{1453+x}{5}[/tex]
It is given that,
Mean of set a: mean of set b= 3:8
[tex]\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}[/tex]
[tex]\dfrac{705}{1453+x}=\dfrac{3}{8}[/tex]
[tex]8\times 705=3\times (1453+x)[/tex]
[tex]5640=4359 +3x[/tex]
Isolate the variable x.
[tex]5640-4359 =3x[/tex]
[tex]1281 =3x[/tex]
Divide both sides by 3.
[tex]\dfrac{1281}{3} =x[/tex]
[tex]427 =x[/tex]
Therefore, the value of x is 427.
John needs 6 cups of ice cream to make 4 servings of milkshake. How many servings can John make using 3 gallons of ice cream?
Answer:
24
Step-by-step explanation:
-------- 24 --------
Hope that helps
ASAP need help!!
vvvv
Answer:
Step-by-step explanation:
5 5 5 m²