Answer:
4:5
Step-by-step explanation:
If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.
However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.
12:15
= 4:5
So, the ratio of boys to girls in Timara's class is 4:5
Margot surveyed a random sample of 180 people from the United States about their favorite sports to watch. Then she sent separate, similar, survey to a random sample of 180 people from the United Kingdom. Here are the results:
Favorite sport to watch United States United kingdom Total
Basketball 60 51 111
Football 67 14 81
Soccer 28 86 114
Tennis 25 29 54
Total 180 180 360
Margot wants to perform a x^2 test of homogeneity on these results. What is the expected count for the cell corresponding to people from the United Kingdom whose favorite sports to watch is tennis?
Answer:
27
Step-by-step explanation:
The expected count in a χ² test can be obtained thus :
Expected count for each each point in a two way table ::
(row total * column total) / total
Therefore, expected count for cell corresponding to people from United Kingdom whose favorite sport is tennis :
Row total = (51+14+86+29) = 180
Column total = (25 + 29) = 54
Total = 360
Hence,
Expected count = (180 * 54) / 360
Expected count = 27
If h (x) = 1 - 2/3, find h (x) when x is -6.
Answer:
h = 19/3
Step-by-step explanation:
Find the value of X
Answer:
100°
Step-by-step explanation:
the lower right angle is 180-149 = 31°
the sum of all three angles in a triangle is 180°.
so the solution is 180-31-49
how is 470000000 written in scientific notation
Answer:
4.7 * 10^8
Step-by-step explanation:
3x^2 - 4x + 2 = 0
how many solutions does the equation above have?
If y=13 and x=y/2, solve
(5y) + (6x)
Answer:
104
Step-by-step explanation:
(5y) + (6x)
Let y = 13
x = y/2 = 13/2
(5*13) + (6*13/2)
65+39
104
Answer:
104
Step-by-step explanation:
See image below:)
sin 0= 20/29 and cos 0 = -21/29. Find tan 0
Answer:
Tan(theta) = 20/-21
Step-by-step explanation:
Tan(theta) = Sin(theta)/Cos(theta)
[tex]\frac{\frac{20}{29} }{\frac{-21}{29} }[/tex]
Invert the denominator and multiply
[tex]\frac{20}{29}*\frac{29}{-21}\\\frac{20}{-21}[/tex]
Tan(theta) = 20/-21
Answer:
20/-21
Step-by-step explanation:
The graphs below show measurements from cubes
with different side lengths.
Which pairs of variables have a linear relationship?
Select two options.
24
side length and perimeter of 1 face
20
perimeter of 1 face and area of 1 face
16
Perimeter of 1 Face
surface area and volume
A
area of 1 face and surface area
side length and volume
1
2
3
4
5
6
Side Length
40
36
32
Answer:
the first one and the third one
Step-by-step explanation:
Answer:
Side length and perimeter of 1 face
Area of 1 face and surface area
Step-by-step explanation:
Hey again I need some help I would really appreciate it
Answer:
127 degree
Step-by-step explanation:
because angle 6 is alternate to 127 degree. Alternate makes a=b which is angle 6 is equal to 127 degree
Suppose Shelly needs to have $40,000 at the end of six years to open a cookie shop. She invests in an annu
pays 8% interest, compounded semiannually. How much does she have to invest each compounding period
her goal?
Answer:
Step-by-step explanation:
40,000= x (1+ .04)^12
the future value of the account =40,000
the amount invested at the end of each period =x because we do not know
the interest rate per period = 0.04 because 8% compounded semiannually is 4% per 6 months or written as decimals 0.04
(1+.04) because you gain interest so you add to the 100% of your money 4%
the number of periods = 12 because in 6 years we have twelve 6 months periods
[tex]x= \frac{40,000}{1.04^{12} }[/tex]
x= $24,983.88
Answer:
the answer is $2662.09
Step-by-step explanation:
Plz help me solve this thanks
Answer:
[tex]-2\sqrt{3}+8\sqrt{5}[/tex]
Step-by-step explanation:
[tex]-2\sqrt{3} -\sqrt{5} +3\sqrt{9\times5} = -2\sqrt{3} -\sqrt{5} +3\sqrt{9}\times\sqrt{5} = -2\sqrt{3} -\sqrt{5} +9\sqrt{5} = -2\sqrt{3}+8\sqrt{5} \\[/tex]
The vertex of this parabola is at (-5, -2). When the x-value is -4, the
y value is 2. What is the coefficient of the squared expression in the
parabola's equation?
(-5,-2)
© A. 1
O B. -1
C. 5
D. 4
Complete the problems in measurements. Show answers in simplest terms.
e. Joseph has a bag of dog food that weighs 5 lb. He wants to feed his dog 7 oz. of dog food per day, How many days will the bag of dog food last?
Simplify 6-(-14)+(-2)
Answer:
18
Step-by-step explanation:
when there is a - in front of an expression in parentheses, change the sign of each term in the expression
6+14+(-2)
then calculate the sum or difference
6+14-2= 18
A segment has endpoints A and C. What are two names for the segment?
Answer:
Ac CA is your answer
Step-by-step explanation:
MARK ME AS BRAINLIEST
AC and CA
Step-by-step explanation:
[tex]line \: which \: has \: endpoint \: \\ \\ A \: and \: C \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ it \: shows \: that \: line \: starts \: from \: \\ \\ A \: \: and \: ends \: with \: C \\ \\ so \: \: its \: name \: is \: \: \: \: AC \\ \\ hope \: it \: is \: helpful \: to \: you....[/tex]
Please Find the value of x and y
Answer: x=40° and y=140°
Step-by-step explanation:
From the figure, we know that x and 40 are vertical angles. Therefore, they are equal to each other.
x=40°
With the value of x, we know that x and y are supplementary angles. That means they are equal to 180°.
40+y=180 [subtract both sides by 40]
y=140°
Now we know x=40° and y=140°.
in a company ther are bell ring after interval of 3,5 and 15 minutes if they ring together at 8:00 AM when they ring together next
Answer:
8:15 AM
Step-by-step explanation:
This is an interval question so we use LCM to solve such kind of questions
LCM of 3,5,15=15
So after 15 minutes it will ring again
So at 8:15 AM it will ring
Find the volume in cm³ of a length of pipe which has these measurements.
Volume of a cylinder = πr²h
π = 3.14
help me fast plsssdsssssss
5. What is the volume of a cube with a side that is 7 ft. long
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]
5.) What is the volume of a cube with a side that is 7 ft. long.[tex]\huge\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{v = volume}[/tex]
[tex]\quad\quad\quad\quad\sf{s = side}[/tex]
[tex]\quad\quad\quad\quad\sf{s = 7ft}[/tex]
[tex]\huge\underline{\sf{\red{Fomula:}}}[/tex]
[tex]\quad\quad\quad\quad \boxed{\sf{v = {s}^{3} }}[/tex]
[tex]\huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad {\sf{⟶v = {s}^{3} }}[/tex]
[tex]\quad\quad\quad\quad {\sf{⟶v = {(7)}^{3} }}[/tex]
[tex]\quad\quad\quad\quad {\sf{⟶v = 7×7×7 }}[/tex]
[tex]\quad\quad\quad\quad {\sf{⟶v = 343 }}[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed {\sf{v = 343 \: {ft}^{3} }}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex] \huge\quad\quad \underline{\boxed {\sf{ \red{v = 343 \: {ft}^{3} }}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
mainly an addition to the terrific reply above, which is absolutely correct
Check the picture below.
Help with this Geometry question please
Answer:
Angle A = [tex]77^{o}[/tex]
Step-by-step explanation:
cos A = adjacent / hypotenuse
cos A = 18/82
cos A = 0.22
A = [tex]cos ^{-1}[/tex]0.22
A = [tex]77^{o}[/tex]
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
Answer:
3
Step-by-step explanation: 6 11 10 48
spent $504
hair dryers cost $8 each
6 floors with the same number of rooms on each floor.
Money spent / hair dry cost = number of hair dryers bought
number of hair dryers = number of floors = hair dryers per floor Plus any remainder
504 / 8 = 63 hair dryers
63 / 6 = 10.5 so 10 rooms per floor = 60 hairs dryers with 3 left over
Answer:
well IMA just copy the other guy and say 3
Step-by-step explanation:
just cause it is.
Which statement must be true about line TU?
Answer:
wer: The true statement is 'Line TU is parallel to line RS'. Explanation: Since, we know that if a line is perpendicular to two different lines then these two different lines must be parallel to each other. Here, it is given that WV is perpendicular to both lines RS and TU. Therefore, RS must be parallel to TU.
What is the end behavior of the polynomial function?
Answer:
As x→∞, y→-∞
Step-by-step explanation:
Notice how as the x values increase, the y values get closer to negative infinity. As the x values decrease into the negatives, the y values get closer to positive infinity.
What is the volume of the solid figure?
152 cubic ft
Answer:
Volume of solid figure=Volume of
upper cuboid+volume of lower cuboid
=l*b*h+l*b*h=10*4*3+4*4*2=152 cubic ft
152 cubic ft
Answer:
Volume of solid figure=Volume of
upper cuboid+volume of lower cuboid
=l*b*h+l*b*h=10*4*3+4*4*2=152 cubic ft
Which number line shows the solutions to 1/2 x -2 > 0
Answer:
The top choice
Step-by-step explanation:
1/2 x -2 > 0
Add 2 to each side
1/2 x -2+2 > 0+2
1/2 x > 2
Multiply each side by 2
1/2 x *2 > 2*2
x > 4
There is an open circle at 4 and the line goes to the right
Answer:
It is the first option everything to the right of 4.
Step-by-step explanation:
If there is an 10+ lax
on a $25 pair of pants
what is the tax
amount?
Answer:
A 6% sales tax.
Step-by-step explanation:
3. Find the measure of the exterior angle in the diagram below.
Answer:
the value of x is 29° which is b
A random sample of items is selected from a population of size . What is the probability that the sample mean will exceed if the population mean is and the population standard deviation eq
Answer:
The probability is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which X is the value we want to find the probability of the sample mean exceeding, [tex]\mu[/tex] is the population mean, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Central Limit Theorem for the sample mean:
Sample of size n, and thus:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]Z = \frac{X - \mu}{s} = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
Probability of the sample mean exceeding a value:
The probability is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which X is the value we want to find the probability of the sample mean exceeding, [tex]\mu[/tex] is the population mean, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Based on the cumulative frequency histogram, determine the number of swimmers who swam between 200 and 249 yards. Determine the number of swimmers who swam between 150 and 199 yards. Determine the number of swimmers who took the swim test.
Answer:
[tex](a)\ 200 \to 249 =3[/tex]
[tex](b)\ 150 \to 199 = 0[/tex]
[tex](c)\ Total = 20[/tex]
Step-by-step explanation:
Given
See attachment for cumulative frequency histogram
Solving (a): Swimmers between 200yd and 249yd
To do this, we simply read the data from the 0 mark
From the histogram, we have:
[tex]0 \to 249 = 15[/tex]
and
[tex]0 \to 199 = 12[/tex]
So:
[tex]200 \to 249 = 0 \to 249 - 0 \to 199[/tex]
This gives:
[tex]200 \to 249 = 15-12[/tex]
[tex]200 \to 249 =3[/tex]
Solving (b): Swimmers between 150yd and 199yd
To do this, we simply read the data from the 0 mark
From the histogram, we have:
[tex]0 \to 149 = 12[/tex]
and
[tex]0 \to 199 = 12[/tex]
So:
[tex]150 \to 199 = 0 \to 199 - 0 \to 149[/tex]
This gives:
[tex]150 \to 199 = 12-12[/tex]
[tex]150 \to 199 = 0[/tex]
Solving (c): Total swimmers
To do this, we simply read the longest bar of the histogram
[tex]Longest = 20[/tex]
Hence:
[tex]Total = 20[/tex]
