Answer:
105°, obtuse angle
Step-by-step explanation:
60 + 45 = 105
A past study claims that adults in America spend an average of 17 hours a week on leisure activities. A researcher wanted to test this claim. She took a sample of 10 adults and asked them about the time they spent per week on leisure activities. Their responses (in hours) are as follows:13242137152518224032Assume that the times spent on leisure activities by all adults are normally distributed. At the 5% significance level, can you conclude that the claim of this earlier study is true
Answer:
The claim is false.
Step-by-step explanation:
Given the data :
13 24 21 37 15 25 18 22 40 32
The sample mean and standard deviation can ben calculated for the given sample.
Using calculator :
Sample mean, xbar = 24.7
Sample standard deviation, s = 9.04
Sample size, n = 10
The hypothesis :
H0 : μ = 17
H1 : μ ≠ 17
The test statistic :
(xbar - μ) ÷ (s/√(n))
(24.7 - 17) ÷ (9.04/√(10))
7.7 / 2.8586990
Test statistic = 2.694
We can obtain the Pvalue, at α = 0.05 ; df = n-1 = 9
Pvalue = 0.0246
Since Pvalue < α ; we reject the null ; Hence, there is significant evidence to conclude that an adult American does not spend average of 17 hours in leisure
Choose the answer that represents the product below as a exponential
expression.
(-4).(-4).(-4).(-4).(-4).(-4)
A. (-4)^6
B. (-4)^4
C. 6•(-4)
D. (-6)^-4
Answer:
(-4) ^6
Step-by-step explanation:
(-4)*(-4)*(-4)*(-4)*(-4)*(-4)
There are six (-4)'s multiplied together
(-4) is the base and 6 is the exponent
(-4) ^6
BEDMASS or PADMASS solve this pls
Answer:
Step-by-step explanation:
376389546535150-540111-107525I need help with #7. Please help. I have to show all work so please explain
Answer: 2√17 A website to use for this would be "M a t h w a y"!!! Good luck, hope I helped!!!
which numbers in the set (2, 3, 4, 5,) are solutions to the inequality 19- 4x>3
Answer:
2 and 3
Step-by-step explanation:
Given the set (2, 3, 4, 5,) and inequality 19- 4x>3
To obtain which number gives a solution, we test each value in the set ;
19- 4x>3
For x = 2
19- 4(2)>3
19 - 8 > 3
11 > 3 (true)
x = 3
19- 4(3)>3
19 - 12 > 3
7 > 3 (true)
For x = 4
19- 4(4)>3
19 - 16 > 3
3 > 3 (false )
For x = 5
19- 4(5)>3
19 - 20> 3
-1 > 3 (false)
How stopwatch can measure accurate reading?
answer in picture
stay safe (..
Answer:
Hello There!!
Step-by-step explanation:
Reading gives the required time interval.Some precise stopwatches are electronically connected to the time event.Therefore, making it more accurate.
hope this helps,have a great day!!
~Pinky~
Write and graph an inequality to represent each situation.
The stock is worth at least $3.5
Answer:
Step-by-step explanation:
Let stock worth be x.
The inequality will be x ≥ 3.5
The graph will be a number line with numbers 1, 2, 3 , 4 , 5 , 6 . . .
Then darken a small circle at 3.5 and darken the line
moving towards 4, 5 , 6 . . . and finally end with an arrow mark. showing it goes to ∞
If triangle ABC is reflected across the y-axis and then rotated 90 degrees clockwise about the origin, what would the coordinates of point A’ of the transformed triangle be?
Answer:
A' (2,-1) B' (4.-1) C' (1,-4)
Step-by-step explanation:
Answer:
(-2,-1)
Step-by-step explanation:
Find the volume of the composite figure.
Rewrite the polynomial in the form ax^2 + bx + C and then identify the values of a, b, and c.
I really need help ):
Answer:
[tex]a = 5\\\\b = -1\\\\c=1[/tex]
Step-by-step explanation:
Given
[tex]-x+5x^2+1[/tex]
Required
Rewrite and identify a, b and c
The required form is:
[tex]ax^2 + bx + c[/tex]
Equate both expressions
[tex]ax^2 + bx + c = -x+5x^2+1[/tex]
Rewrite as:
[tex]ax^2 + bx + c = 5x^2-x+1[/tex]
Compare the expressions on either sides
[tex]a = 5\\\\b = -1\\\\c=1[/tex]
Please help me with these questions
Answer:
okay the first questions answer is ,c,is true and rest of them are false
2. A display window consists of a stacked pyramid of books for sale. The bottom row has 27 books. Each row has two fewer books than the row below it. The display has 13 rows (a) Write and use a function to determine how many books are in the top row. Show your work. (5 points ) (b) Use the appropriate formula to determine the number of books in the entire display. Show your work . (4 points )
Answer:
A) 1
Step-by-step explanation:
A) 27 ÷ 13 = 1
B) if you take away 2 from "27", "13" times you will get 1 as the final answer.
I hope this helps, if I'm wrong please do correct me.
What is the GCF of the terms of 8c3 + 12c2 + 10c
Answer:
The GCF of the terms is 2c
Step-by-step explanation:
Greatest common factor:
To find the gcf of the expression, we find the gcf separately for the numbers and for the powers of c, and then multiply them.
Numbers:
8, 12 and 10.
Dividing them all by prime factors:
8 - 12 - 10|2
4 - 6 - 5
5 is not divisible by 2, so we stop there, and the gcf of the numbers is 2.
Powers of c:
Powers of c are 1, 2 and 3. The gcf of 1,2,3 is 1, as there is not a number that is divisible by all of 1,2,3 other than 1. So the gcf for the powers of c is c^1 = c.
GCF of the expression:
2*c = 2c
factorise fully 16c^4p^2+20cp^3
Answer:
4cp^2 ( 4c^3+5p
Step-by-step explanation:
See image below:)
The factored form of the expression will be [tex]4cp^2 (4c^3+5p)[/tex]
Factorization:Given the expression 16c^4p^2+20cp^3
Get the factor for each term
[tex]16c^4p^2 = 4 * 4 * c^3 * c * p^2 \\20cp^3= 4 * 5 * c * p^2 * p[/tex]From the factors, you can see that 4cp^2 is common to both terms. Hence the factored form of the expression will be:
[tex]4cp^2 (4c^3+5p)[/tex]
Learn more on factored form here: https://brainly.com/question/25948667
write even number between 10 and 20
HELPPP HOW MANU SURFACE AREAS DOES THIS HAVE DONT SEND A FILE!!
Determine the number of solutions for the system 2x+3y=5 and -9y=6x-15
9514 1404 393
Answer:
infinite number of solutions
Step-by-step explanation:
The two equations describe the same line.
Adding 9y+15 to the second equation makes it be ...
15 = 6x +9y
Dividing that by 3 gives you ...
5 = 2x +3y . . . . . . identical to the first equation
The lines intersect at every point, so there are an infinite number of solutions.
José drove from New York to Florida. Resting for 1 hour for every 5 hours he drove. If he drove for 35 hours how many hours did he rest.
Answer:
7 hours
Step-by-step explanation:
He drove 35 total miles so he would rest 35/5 hours. 35/5 is equal to 7 hours.
The answer is that he rested for 7 hours.
Zero ∉ {whole numbers} True or False?
Step-by-step explanation:
thats true
You measure 30 dogs' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places
Answer:
The answer is "[tex](32.8318736, 29.1681264)[/tex]"
Step-by-step explanation:
When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:
[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]
Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to work and back. What equation can be used to find how many days, that Elena drove to work last week
Answer:
35×7=56 is a AWNSER djndhei
The coefficient of x in the expansion of (x + 3)(x - 1) is
It’s either
2
-2
-3
4
Answer:
[tex]{ \tt{(x + 3)(x - 1)}} \\ = { \tt{ {x}^{2} - x + 3x - 3 }} \\ = { \tt{ {x}^{2} + 2x - 3 }} \\ \\ { \boxed{ \bf{coefficient = 2}}}[/tex]
find the measure of one interior angle in a regular 23-gon
Answer: A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n - 2)180°, where n is the number of sides.
The measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees
How to calculate the sum of the interior angle of a regular polygon?The formula which is used to calculate the sum of the angle of regular polygon is given by
sum of the interior angles = ( n - 2 ) × 180 degrees
Where,
n is the number of sides
According to the given question.
We have a regular polygon with 23 sides.
⇒ n = 23
Therefore,
The sum of the interior angles of the given regular polygon
= (23-2) × 180
= 3,780 degrees
So, the measure of one interior angle = [tex]\frac{3780}{23} = 164.3 degrees[/tex]
Hence, the measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees.
Find out more information about interior angle of a regular polygon here:
https://brainly.com/question/22408868
#SPJ3
The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approximate the population of the town 5 years from now.
________ residents (round to nearest whole number)
{Answer:
3893 residents.
Step-by-step explanation:
Equation for population growth:
The equation for the size of a population, considering that it doubles every n years, is given by:
[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]
In which A(0) is the initial population.
The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.
This means that [tex]A(0) = 2463, n = 12[/tex]. So
[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]
[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]
Approximate the population of the town 5 years from now.
This is A(5). So
[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]
[tex]A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8[/tex]
Rounding to the nearest whole number, 3893 residents.
four numbers 1-6 you roll a six-sided die whose sides are numbered from 1 through 6. Find the probability of rolling the following. NO LINKS!!!!
Answer:
#1
Since half of the numbers are even, 2, 4, 6
P(even) = 3/6 = 1/2#2
Multiple of 3 are 3 and 6:
P(multiple of 3) = 2/6 = 1/3#3
The numbers ≤ 4 are: 1, 2, 3, 4
P(≤4) = 4/6 = 2/3#4
Prime numbers are 2, 3, 5
P(prime) = 3/6 = 1/2#5
Numbers > 1 are 2, 3, 4, 5, 6
P(>1) = 5/6#6
A four, there is one option
P(4) = 1/6How many beans stacked on top of each other would it take to reach the moon. And we're talking Lima beans here.
Answer:
I would say more than 4 billion...
Step-by-step explanation:
Q1: Suppose that the numbers of persons per car arriving at the entrance to an amusement park has an average 2. What is the probability that a car arriving at the entrance contains a) No person b) Only one person c) More than one person d) Eight persons e) At least 3 person
Can someone help me solve this
Answer:
Yup! There are 6 possible 0s, 4 actual 0s, and the factored form is -2x^5-6
Step-by-step explanation:
Sung Lee invests $3,000 at age 18. He hopes the investment will be worth $9,000 when he turns 25. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
Answer:
.169
Step-by-step explanation:
I hoped I helped you solve sorry if I'm wrong
Find the volume of the figure shown below.
A)14 units^3
B)9 units^3
C)None of these answers
D)There’s not enough info
E)24 units^3
Answer:
E. 24 units³
Step-by-step explanation:
the volume = 4×3×2 = 24
