Answer:
Hence when the radius is halved the area is divided by 4
2.5 inches^2
Step-by-step explanation:
Given data
Area= 10inches^2
We know that the expression for the area of a circle is given as
Area= πr^2
10= 3.142*r^2
10/3.142= r^2
r^2= 3.18
Square both sides
r= √3.18
r= 1.78 inches
Now let us half the radius and find the area of the new circle
r/2= 1.78/2
r= 0.89
Area of the new circle is
Area= 3.142*0.89^2
Area= 3.142*0.7921
Area= 2.5 inches^2
Please help me with this question
9514 1404 393
Answer:
D(1, 2)
Step-by-step explanation:
The ordered pair is always (x-coordinate, y-coordinate).
The x-coordinate is the distance to the right of the y-axis. (It is negative for points left of the y-axis.) Here, point D lies 1 unit right of the y-axis, so its x-coordinate is 1.
The y-coordinate is the distance above the x-axis. (It is negative for points below the x-axis). Here, point D lies 2 units above the x-axis, so its y-coordinate is 2.
The ordered pair describing the location of D is ...
(x-coordinate, y-coordinate) = (1, 2)
how is 470000000 written in scientific notation
Answer:
4.7 * 10^8
Step-by-step explanation:
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]
y=x^2-2x-8
please help ♀️
Answer: (1, -9)
Hope this helped!
Step-by-step explanation:
simplify -5-√-44
i have no idea
Answer:
Undefined
Step-by-step explanation:
The square root of a negative number does not exist in the set of real numbers so it would be Undefined
fill in the blanks
864+2006=--------+864
5351 +(574+799)= 574+(5351+_____)
Answer:
2006
799
Step-by-step explanation:
Given the expression:
The right hand side of the sun must be equal to the left hand side ;
Therefore ;
864+2006=--------+864
The sum of 864 and 2006 must be equal to the right hand side sum ; hence
864+2006= 2006 +864
Similarly, the left hand side and right havd side must also be equal here ;
5351 + 574 + 799 = 574 + 5351 + 799
Hence, the missing value is 799
can someone please tell me the answer .
Answer:
Step-by-step explanation:
Answer:
the last one
Step-by-step explanation:
congruent means they are the same and all sides of a square are the same size.
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:
help me fast plsssdsssssss
in a random sample of 28 people, the mean commute time to work was 31.2 minutes and the standard deviation was 7.3 minutes. assume the population is normally distributed and use a t-distribution to construct a 99% confidence interval for the population mean u. What is the margin of error of u
Answer:
The margin of error of u is of 3.8.
The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.
Step-by-step explanation:
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 = 28 - 1 = 27
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7707
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.7707\frac{7.3}{\sqrt{28}} = 3.8[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error of u is of 3.8.
The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes
The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes
The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.
SOMEONE HELP ME PLEASE
Answer:
The missing value is 5/2
Step-by-step explanation:
Solve the equation and check the result
3(2y-8)-y=9
Answer:
y = 33/5
Step-by-step explanation:
Distribute
3(2y-8)-y = 9
6y - 24 - y
5y - 24 = 9
Add 24 to both sides
5y = 9 + 24
5y = 33
y = 33/5
QUESTION 6 The scale on a map is given as 1 : 320,000. If the distance between the top of the two mountains on the map is 6.8cm, what is the actual distance in kilometres between the two tops of the mountain. ? show working out to prove answer.
Answer:
The actual distance is of 21.76 kilometers.
Step-by-step explanation:
Scale problems are solved by proportions, using a rule of three.
The scale on a map is given as 1 : 320,000
This means that each unit on the map represents 320,000 units of distance.
Distance between the top of the two mountains on the map is 6.8cm
Then
1 cm - 320,000 cm
6.8 cm - x
Applying cross multiplication:
[tex]x = 6.8*320000 = 2176000[/tex]
Distance in kilometers
To convert from centimeters to kilometers, we divide by 100000. So
2176000/100000 = 21.76
The actual distance is of 21.76 kilometers.
Someone please help I have 40 mins for this test !
Answer:
It would be Linear
Step-by-step explanation:
Answer:
i think its quadratic because the graph isnt straight and has different slopes between the x,y.
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]
Which statement regarding the diagram is true?
mMKL+mMLK=mJKM mKML+mMLK=mJKM mMKL+mMLK=180 mJKM+mMLK=180
Answer:
mKML+mMLK=mJKM
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, equilateral, isosceles, and right triangle.
As shown in the diagram, polygon MLK is a triangle. The sum of angles in a triangle is equal to 180°, hence:
m∠MLK + m∠KML + m∠MKL = 180° (sum of angles in a triangle).
m∠MKL = 180 - (m∠MLK + m∠KML) (1)
Also along line JL, the sum of angles on one side of a straight line is 180°, therefore:
m∠JKM + m∠MKL = 180° (sum of angles in a straight line)
m∠JKM + m∠MKL = 180° (2)
From equations 1 and 2, equating give:
m∠JKM + [180 - (m∠MLK + m∠KML)) = 180
m∠JKM + 180 - m∠MLK - m∠KML = 180
m∠JKM = m∠MLK + m∠KML
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.
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]
3. Find the measure of the exterior angle in the diagram below.
Answer:
the value of x is 29° which is b
Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the following probabilities.
x 0 1 2 3 4 5
P(X=x) 0.1 0.15 0.25 0.25 0.15 0.1
Determine the following probabilities
a. Two or three bars
b. At least one bar
c. Fewer than two bars
d. More than three bars
Answer:
a. [tex]P(2 \leq X \leq 3) = 0.5[/tex]
b. [tex]P(X \geq 1) = 0.9[/tex]
c. [tex]P(X < 2) = 0.25[/tex]
d. [tex]P(X > 3) = 0.25[/tex]
Step-by-step explanation:
We are given the following distribution:
[tex]P(X = 0) = 0.1[/tex]
[tex]P(X = 1) = 0.15[/tex]
[tex]P(X = 2) = 0.25[/tex]
[tex]P(X = 3) = 0.25[/tex]
[tex]P(X = 4) = 0.15[/tex]
[tex]P(X = 5) = 0.1[/tex]
a. Two or three bars
[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.25 + 0.25 = 0.5[/tex]
Thus:
[tex]P(2 \leq X \leq 3) = 0.5[/tex]
b. At least one bar
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1 = 0.9[/tex]
Thus:
[tex]P(X \geq 1) = 0.9[/tex]
c. Fewer than two bars
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.15 = 0.25[/tex]
Thus:
[tex]P(X < 2) = 0.25[/tex]
d. More than three bars
[tex]P(X > 3) = P(X = 4) + P(X = 5) = 0.15 + 0.1 = 0.25[/tex]
Thus:
[tex]P(X > 3) = 0.25[/tex]
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.
Explain or show that the point (5,−4) is a solution to this system of equations:
3x−2y=23
2x+y=6
Answer:
The x and y values of the coordinates satisfy the system of equations.
Step-by-step explanation:
[tex]when \: x = 5 \: and \: y = - 4 \\ 3x - 2y = 3(5) - 2( - 4) \\ = 15 + 8 \\ = 23 \\ \\ 2x + y = 2(5) + ( - 4) \\ = 10 - 4 \\ = 6[/tex]
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
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?
someone pls help its due soon
9514 1404 393
Answer:
II only
Step-by-step explanation:
You can simplify the inequality like this:
3 -8 > 8 -8 + 5x . . . . . . . . subtract 8 from both sides
-5 > 5x . . . . . . . . . . . . . simplify
-5/5 > (5x)/5 . . . . . . . divide both sides by 5
-1 > x . . . . . . . . . . . . simplify
I find this easier to compare to a numbers on a number line if the inequality symbol points to the left. (This is a personal preference. YMMV)
x < -1
Now, we can see that only numbers to the left of -1 on the number line will be suitable values for x. Of those listed, only -9 is a solution.
II only
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 I need help in finding the diameter
Answer:
20
Step-by-step explanation:
diameter=√(12²+16²)=√[4²(3²+4²)]=4√(9+16)=4√25=4×5=20
Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1). What are the coordinates of A' after a dilation by a scale factor of 2.5?
Answer:
A’(-5,5)
Step-by-step explanation:
x’ = 2.5 * -2 = -5
y‘ = 2.5 * 2 = 5
i need help finding the answer with step by step
Answer:
x= -1
Step-by-step explanation:
if
f(x) = -x-3
and
f(x) = -2
than
-x-3 = -2; add 3 to both sides
-x-3+3 = -2+3
-x = 1 ; multiply both sides by -1
x= -1
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
