Answer:
85.36 far north from the center
10.36 far east from the center
Step-by-step explanation:
The extra direction taken in the north side is x
X/sin(360-315)=50/sin 90
Sin 90= 1
X/sin 45= 50
X= sin45 *50
X= 0.7071*50
X= 35.355 steps
X= 35.36
Then the west direction traveled
West =√(50² - 35.355²)
West = √(2500-1249.6225)
West= √1250.3775
West= 35.36 steps
But this was taken in an opposite west direction
From the center
He is 35.36 +50
= 85.36 far north from the center
And
25-35.36=-10.36
10.36 far east from the center
a highschool basketball game won 36 percent of the games that it played last season the team won exactly 9 games last season what is the total number of games that the team played
Answer:
Total games played = 25
Step-by-step explanation:
Percentage games won by the basketball team = 36%
Exact number of games won by the team = 9
Let the total games played by the team = x
Therefore, total number of games won = 36% of x
= [tex]\frac{36}{100}\times x[/tex]
Equation which represents the games won by the team will be,
[tex]\frac{36}{100}\times x=9[/tex]
x = [tex]\frac{9}{0.36}[/tex]
x = 25
Therefore, total games played by the basketball team are 25.
When the scale factor is one what is the ratio of the side length of the side opposite angle a and the length of the hypotenuse
Answer:
me ajuda por favor matemática
In recent years, the interest rates on home mortgages have declined to less than 6%. However, a
recent study shows that the rate charged on credit card debt is more than 14%. A sample of 10 credit
cards showed that the mean rate charged is 15.64% with a standard deviation of 1.561%. At 1% level
of significance, is it reasonable to conclude the mean rate charged is greater than 14%?
Answer:
Yes it is reasonable to conclude the mean rate charged is greater than 14%
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 0.14[/tex]
The sample size is [tex]n = 10[/tex]
The sample mean is [tex]\= x = 0.1564[/tex]
The standard deviation is [tex]\sigma = 0.01561[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o: \mu = 0.14[/tex]
The alternative hypothesis is [tex]H_a : \mu > 0.14[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{ 0.1564 - 0.14 }{ \frac{0.01561 }{\sqrt{10} } }[/tex]
[tex]t = 3.322[/tex]
Now the p-value obtained from the z-table is
[tex]p-value = P(t > 3.322) = 0.00044687[/tex]
Since the [tex]p-value < \alpha[/tex] then we reject the null hypothesis, hence we can conclude that the mean rate charged is greater than 14%
|3(x–2)|=12 pls help i need assistance
Answer:
x1 = -4
x2 = 6
Step-by-step explanation:
The 2 vertical lines are "absolute values" meaning whatever they contain has to be positive
For Example
|-3| = 3
So we can ignore if the answer we get is positive or negative because it will forced to be a positive
|3 x 4| = 12
|x - 2| = 4
x1 = 6
x2 = -2
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 38 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 116 feet. Assume that the population standard deviation is 21 feet. (You may find it useful to reference the appropriate table: z table or t table) a. State the null and the alternative hypotheses for the test.
Complete Question
The complete question is shown on the first uploaded image
Answer:
the null hypothesis is [tex]H_o : \mu = 122[/tex]
the alternative hypothesis is [tex]H_a : \mu \ne 122[/tex]
The test statistics is [tex]t = - 1.761[/tex]
The p-value is [tex]p = P(Z < t ) = 0.039119[/tex]
so
[tex]p \ge 0.01[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 122[/tex]
The sample size is n= 38
The sample mean is [tex]\= x = 116 \ feet[/tex]
The standard deviation is [tex]\sigma = 21[/tex]
Generally the null hypothesis is [tex]H_o : \mu = 122[/tex]
the alternative hypothesis is [tex]H_a : \mu \ne 122[/tex]
Generally the test statistics is mathematically evaluated as
[tex]t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }[/tex]
substituting values
[tex]t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }[/tex]
[tex]t = - 1.761[/tex]
The p-value is mathematically represented as
[tex]p = P(Z < t )[/tex]
From the z- table
[tex]p = P(Z < t ) = 0.039119[/tex]
So
[tex]p \ge 0.01[/tex]
In complete sentences explain how you would factor the numeric expression 34 + 12 + 20.
Answer:
We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x -100. The solution to this problem is shown below:
5x² - 5x - 100 let the problem equal to zero such as:
5x² - 5x - 100 = 0 , factor out 5 from the given trinomial
5(x²-x-20) = 0
5 (x-5)(x+4) = 0
The correct factor is 5(x-5)(x+4).
Step-by-step explanation:
Given the set of data: 24, 43, 65, 12, 31, 78, 43, 24, 25, 18, 29, 53, 18, 23, 20, 43, 53, 25 Determine the quartiles.
Answer:
Lower quartile= 4.75
Middle quartile= 9.5
Upper quartile= 14.25
Step-by-step explanation:
The given date set is 24, 43, 65, 12, 31, 78, 43, 24, 25, 18, 29, 53, 18, 23, 20, 43, 53, 25
On counting them we notice that it's number of element is 18
So N = 18
Arranging them in ascending order gives
12,18,18,20,23,24,24,25,25,29,31,43,43,43,53,53,65,78
Lower quartile= (N+1)*1/4
Lower quartile= (18+1)/4
Lower quartile= 19/4
Lower quartile= 4.75
Middle quartile= (N+1)*2/4
Middle quartile= (18+1)*2/4
Middle quartile= (19)*2/4
Middle quartile= 9.5
Upper quartile= (N+1)*3/4
Upper quartile= (18+1)*3/4
Upper quartile= (19)*3/4
Upper quartile= 14.25
Inter quartile range = upper quartile- minutes lower quartile
= 14.25-4.75
= 9.5
2**2-5 what is answer of this equation
Answer:
[tex]\huge\boxed{-1}[/tex]
Step-by-step explanation:
=> 2 * 2 -5
Multiplying first according to DMAS rule
=> 4 - 5
=> -1
P.s. This is not an equation. This is an expression!
Answer:
[tex]\Huge \boxed{-1}[/tex]
Step-by-step explanation:
[tex]\Rightarrow 2 \times 2 -5[/tex]
Division and multiplication to be performed first.
[tex]\Rightarrow 4-5[/tex]
Addition and subtraction next.
[tex]\Rightarrow -1[/tex]
In the given diagram if AB || CD, ∠ABO = 118° ∠BOD = 152° then find the value of ∠ODC. please help !!!!!!
What is the value of 1 in 1,255 is what times the value of the 1 in 82,175
Answer:
100,000
You take 1,000 because it's in the thousandths place of 1,255. The value of that one is 1,000 so you multiply that times 100, which is the value of 1 in 82,175.
Answer:
Step-by-step explanation:
mortician math word problem
Answer:
wat do u want me to do
Step-by-step explanation:
I need help please help me! I don’t understand this
Answer:
170 m³
Step-by-step explanation:
To solve this type of problem, assume you have two solids joined together to make the shape you have up there. This will enable you find the volume of each, then sum both volume together to get your answer.
Let's solve for the volume as follows.
If we divide the solid into 2, what we have is 2 cuboid: the first having dimensions of:
length (l) = 6m,
width (w) = 2m,
height (h) = 8m
Volume of the first cuboid = [tex] l*w*h = 6*2*8 = 86 m^3 [/tex]
The second cuboid:
length (l) = 7m,
width (w) = 6m,
height (h) = 2m
Volume of the first cuboid = [tex] l*w*h = 7*6*2 = 84 m^3 [/tex]
Volume of the figure = 86 + 84 = 170 m³
Which statement about the angle measures is true?
m_BAC + m2 ACB 85
m.BAC MACB 95
95°
m..BACA BC 85
m. BACIMBC 95
B
Answer:
Option (4)
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles."
In the triangle ABC,
∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.
m∠ACD = m∠BAC + m∠ABC
95° = m∠BAC + m∠ABC
Therefore, Option (4) will be the correct option.
602/100 into a decimal describe plz
Answer:
6.02
six point zero two
Step-by-step explanation:
Answer:
602 / 100= 6,02
Step-by-step explanation:
602 to divide 100 = 6,02
The range of values for x?
Answer:
x = 32
but
I would say anything from 30 to 33
but truly i have no clue about the range
Step-by-step explanation:
3x-9=87 (because 180 -93 =87)
3x = 96
x = 32
Answer:
it is 32
Step-by-step explanation:
average of 2721 2557 2999 2278 4339
Answer:
Step-by-step explanation:
So we know that the average of numbers is all of the numbers added up and divided by the total amount of numbers.
2721
+ 2557
-------------------
5278
.... AND SO ON.........
=14,894 is all of the number added together!!!
Then we count up the numbers= 5
14,894/5
=2978.8
I hope this helps!!!
Solve for X: 1+1*12/80-2+3=56x
Answer:
NOT SURE
Step-by-step explanation:
(Algebra) PLZ HELP ASAP!
Answer: Rational, integer, whole, natural, real
So basically everything but irrational
====================================================
Explanation:
109 is a rational number because 109 = 109/1. Any rational number is a fraction of two integers. Because of this, it cannot be irrational as "irrational" means "not rational".
An integer is anything that does not have a fractional or decimal part. So it involves the set of positive and negative whole numbers, and zero as well. So we can see that 109 is an integer.
A whole number is very similar to an integer, but we're referring to the set {0, 1, 2, 3, ..} meaning we ignore the negative integers. This makes 109 a whole number as well.
A natural number is from the set {1, 2, 3, ...}. We've kicked 0 out from the set of whole numbers. This is the set of counting numbers. So 109 is also a natural number.
A real number is any number you have encountered so far assuming your teacher has not introduced complex and imaginary numbers yet. Effectively a real number is any number that can be written as decimal. This makes 109 to be a real number.
Which best describes the relationship between the lines with equations -36x + 8y = 16 and
-9x + 2y = 4?
Hi there! :)
Answer:
The lines are the same.
Step-by-step explanation:
Begin by converting each equation into its simplest form in slope-intercept form:
-36x + 8y = 16
Move the "x" variable to the right side of the equation:
8y = 36x + 16
Divide all terms by 8:
y = 36/8x + 16/8
y = 9/2x + 2
-------------------------------
-9x + 2y = 4
Move "x" variable:
2y = 9x + 4
Divide both sides by 2:
y = 9/2x + 2
Both of the equations are equivalent, meaning both of the lines are the same.
How many faces does the polyhedron have? 3 5 6 9
Answer:
there are many types of polyhedron.
Basically about which one you want to know?
Step-by-step explanation:
Pentahydron. A polyhedron with 5 faces.
Hexahyderon. A polyhedron with 6 faces.
HeptahyderonA polyhedron with 7 faces.
Octahyderon. A polyhedron with 8 faces.
Similarly there are three more...
Please tell me if it was helpful to you.
If not, then ask me again..
Hunda Corporation’s expected year end dividend amounting to RM1.60, and its required return is 11 percent. The dividend yield is 6 percent and its growth rate is expected to be constant in the future. What is Hunda Corporation’s expected stock price in 7 years?
Answer:
Hunda expected stock price in 7 years = RM48.12
Step-by-step explanation:
expected year end dividend = RM1.60
required return = 11%
dividend yield = 6%
growth rate = constant
Determine Hunda corporation's expected stock price in 7 years
stock price in 7 years
= expected year end dividend / (required return rate - dividend yield rate )
= 1.6 * (1.06)^7 / ( 0.11 - 0.06 )
= 2.4058 / 0.05 = 48.12%
Brainly help me Kelly made fruit punch to serve at a party for her chess team. She mixed 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
1/3
Step-by-step explanation:
1[tex]\\1\frac{2}{5} =1.4\\\\[/tex]
[tex]1\frac{3}{5} =1.6[/tex]
[tex]1.6+1.4=3[/tex]
3 Liters of Fruit Punch.
3/9=1/3 Fruit Punch among the 9 glasses.
Evaluate m^2 − 2m + 5 for m = − 2
Answer:
[tex]\huge\boxed{13}[/tex]
Step-by-step explanation:
m²-2m + 5
Given that m = -2
[tex]\sf (-2)^2-2(-2)+5\\4 +4 + 5\\13[/tex]
Answer:
13
Step-by-step explanation:
m^2 − 2m + 5
Let m = -2
(-2)^2 -2(-2) +5
4 +4 +5
13
22. f(x) is stretched horizontally by a factor of 2 and reflected across the x-axis. Which choice shows the correct representation of f(x) after these transformations?
Options:
A. –f(1/2x)
B. f(–2x)
C. –f(2x)
D. f(–1/2x)
Answer:
A. -f(1/2 x)
Step-by-step explanation:
Reflextion about the x-axis is
f(x) -> -f(x)
and horizontal dilation is
f(x) -> f(-x/b) where b is the factor of dilation.
so the proper answwer is
A. -f(1/2 x)
(4 points) Determine whether each of these functions is O(x 2 ). Proof is not required but it may be good to try to justify it (a) 100x + 1000 (b) 100x 2 + 1000 (c) x 3 100 − 1000x 2 (d) x log x (2) (2 points) U
Answer:
(a) O(x²)
(b) O(x²)
(c) O(x²)
(d) Not O(x²)
Step-by-step explanation:
If a function is O(x²), then the highest power of x in the function ia greater or equal to 2.
(a) 100x + 1000
This is O(x), not O(x²)
(b) 100x² + 1000
This is O(x²)
(c) x³.100 − 1000x²
This is O(x²)
(d) x log x²
This is not O(x²)
Robert, a ninth-grader, has just been told, "The reason you’re having so much trouble with division is that you have never mastered compound multiplication. The Math Basic Skills Tests have indicated this quite clearly. We are going to provide you with instruction in multiplication immediately." Robert’s teacher made what kind of decision relative to his skill level?
Answer:
Diagnostic
Step-by-step explanation:
The teacher made a diagnostic decision relative to Roberts skill level. Before she made this decision, she first started with the process of evaluation to know his strength and also establish his weakness. With the knowledge she has gotten she now plans to him with meaningful learning and an efficient curriculum that would help him in mastering multiplication first before division.
A survey of 1,565 households estimated that 72% of the households in a given state owned a television. What is the population? all the households in given state 1565 households surveyed 1127 households that owned televisions
Answer:
all the houses in given state
Step-by-step explanation:
edge 2021
Using sampling concepts, it is found that the population is given by:
All the households in given state.
What is a sampling?In a sampling, data is taken from a sample to be estimated for the entire population.
For example, if you want to find the proportion of New York State residents that are Buffalo Bills fans, surveying a sample of 1000 residents, the population is all New York State residents.
Hence, in this problem, the population is given by all the households in given state.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Reduce the following fraction to lowest terms: 8/14
Answer:
4/7
Step-by-step explanation:
divide both by two for its simplest form
Answer:4/7
Step-by-step explanation
Divide both the numerator and denominator by 2
The result for the numerator is 8/2=4
that of the denominator is 14/2=7
Therefore the resultant answer is 4/7
Convert 50 yards into meters.
A. 45.87 meters
C. 72.45 meters
B. 50 meters
D. 60 meters
Convert 50 yards into meters.
A. 45.87 meters
C. 72.45 meters
B. 50 meters
D. 60 meters
It's actually 45.72 but A is the closest :)
Answer:
Hey there!
One yard is about 0.9144 m.
Thus, 50 yards would be about 45.87 meters.
Let me know if this helps :)
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out - squares from each corner. The length of the original piece of cardboard is more than the width. If the volume of the box is , determine the dimensions of the original piece of cardboard.
Question is not complete, so i have attached it.
Answer:
Length = 30 inches
Width = 22 inches
Step-by-step explanation:
Let the width of rectangular sheet be x inches.
Let the length of the sheet be (x + 8) inches.
Now, after she cuts 4 inches squares from each corner, she will get a box of length: x + 8 - 4 - 4 = x inches , width: (x - 8) inches and height 4 inches.
Now, volume of a cube is;
V = lwh
Thus;
V = x(x - 8)(4)
We are told that the volume of the box is 2640 in³
Thus;
x(x - 8)(4) = 2640
Divide both sides by 4 to get;
x(x - 8) = 660
x² - 8x - 660 = 0
Using quadratic formula, we have;
x = 30 or - 22.
We will use x = 30 as the other one is negative.
Since we earlier deduced that she will get a box of will get a box of length: x inches , width: (x - 8) inches
Thus,
Length = 30 inches
Width = 30 - 8 = 22 inches
