Answer:
There is no sufficient evidence to support the claim that the boards are either too long or too short
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 2599.0[/tex]
The sample size is [tex]n = 23[/tex]
The sample mean is [tex]\= x = 2600.3 \ mm[/tex]
The standard deviation is [tex]\sigma = 13.0[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 2599.0[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 2599.0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \= x - \mu }{ \frac{\sigma}{ \sqrt{n} } }[/tex]
=> [tex]t = \frac{ 2600.3 - 2599.0 }{ \frac{13}{ \sqrt{ 23} } }[/tex]
=> [tex]t = 0.3689[/tex]
Now from the normal distribution table the critical value of [tex]\alpha[/tex] is
[tex]Z_{\alpha } = 1.645[/tex]
Hence from the evaluated and obtained value we see that
[tex]t < Z_{\alpha }[/tex]
Hence we fail to reject the null hypothesis
Thus we can conclude that there is no sufficient evidence to support the claim that the boards are either too long or too short
In the diagram shown, what is the ratio of shaded parts to unshaded parts?
1 shaded to 5 unshaded
5 shaded to 1 unshaded
6 shaded to 5 unshaded
1 shaded to 6 unshaded
Answer: a
Step-by-step explanation:
Simplify -k-(3k-6n)+2n when k=-3 and n=-5
Steps to solve:
-k - (3k - 6n) + 2n; k = -3, n = -5
~Substitute and simplify
-(-3) - (3(-3) - 6(-5)) + 2(-5)
3 - (-9 + 30)) - 10
~Use PEMDAS and solve the rest.
3 - 21 - 10
-18 - 10
-28
Best of Luck!
Answer:
the answer is -22
Step-by-step explanation:
-k -(3k - 6n) + 2n
when k = -3 & n = -5
substitute the values of k and n
-(-3) -[3(-5) - 6(-5)] + 2(-5)
3 - [-15 - (-30)] + (-10 )
3 - ( -15 + 30 ) - 10
3 - 15 - 10
-12 - 10
-22
hope this helps （＾▽＾）
What is the real part of the following complex number?
-3+ 2iV2
Answer:
Option (3)
Step-by-step explanation:
If a complex number is in the form of (a + ib), real part of the complex number is 'a' and imaginary part is 'b'.
Given complex number is (-3 + 2i )
Comparing this number with (a + ib), real part of the number will be (-3) and imaginary part of the number will be 2.
Option (3) will be the answer.
write the equation of a line in any form that is parallel 2y = 4x + 8 through the point of (1,3) plz and thank you
Answer:
y = 2x+1
Step-by-step explanation:
[tex]2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1[/tex]
Step-by-step explanation:
Hey, there!!
Here, the given point is (1,3).
Now, Using one point formula we need to find the equation of the line passing through point (1,3).
Now,
[tex](y - y1) = m1(x - x1)[/tex]
Keeping values,
[tex](y - 3) = m1(x - 1)[/tex]
It is the 1st equation.
Similary, you have another equation,
2y = 4x + 8..............2nd equation.
or, 4x - 2y +8 =0
M2 from equation 2,
[tex] = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex] = \frac{ - 4}{ - 2} [/tex]
Therefore, m2 = 2
Now,
As per the condition of parallel lines,
m1 = m2 = 2
Now, substituting the value of m1 in equation 1st.
(y-3) = 2 (x-1)
y-3 = 2x - 2
or, 2x-y+1 = 0 ......is the required equation.
Hope it helps...
Round 521,742 to the nearest thousand.
Answer:
the answer to the promblem is 521,000
Answer:
522,000
Step-by-step
If the number is 5 you let it go up if its below you let it go down.
How many inches are in 14 feet, 8 inches? Enter only the number. Do not include units
Answer:
176
Step-by-step explanation:
14x12 = 168 + 8 = 176
There are 176 inches in 14 feet, 8 inches.
To find the total number of inches in 14 feet, 8 inches, we need to convert the feet to inches and then add the inches.
So, 14 feet = 14 x 12
= 168 inches.
Adding the extra 8 inches, the total is:
= 168 inches + 8 inches
= 176 inches.
Therefore, there are 176 inches in 14 feet, 8 inches.
Learn more about Unit Conversion here:
https://brainly.com/question/28600662
#SPJ6
Solve: log (2x + 1) = log (x - 1).
Answer:
no solution
Step-by-step explanation:
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
2 x + 1 = x − 1
Solve for
x .
x = − 2
Exclude the solutions that do not make
log ( 2x + 1 ) = log
( x − 1 ) true.
No solution
Find the real solution.
Answer:
i think it should be no solution
Answer:
X=5/2
Step-by-step explanation:
Multiply both sides by 12 since it is the lcm
[tex] 4 \times 2x - 6x = 5 \\ 2x = 5 \\ x = \frac{5}{2} [/tex]
Please help me out with this
Answer:
-5^11Step-by-step explanation:
[tex]\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5+6}\\\\=\left(-5\right)^{11}\\\\=-5^{11}[/tex]
Please help me. It’s from my math class
Answer:
he would need about 16 weeks
Answer:
1-72: Estimate- 15 weeks
Actual- $125/$7.75= 16.13 weeks.
1-73: 3 feet long=36 inch board
6 feet long=72 inch board
12 feet long = 144 inch board
1-74: a. 100, 50, 60, 40, 20, 0
b. 75, 60, 45, 30, 15, 0
c. 125, 100, 75, 50, 25, 0
d. 250, 200, 150, 100, 0
if 5 persons can do the work in 28 days find the number of persons required to do the same in 7 days
the answer is 35 people
b
r
a
i
N
L
Y
B
Y
P
A
S
S
A sector of a circle of radius has an area of . Find the central angle of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, But I would show how to solve the problem
The area of a sector of a circle with radius r and a subtended central angle θ in degree has an area of:
Area = [tex]\frac{\theta}{360}*\pi r^2[/tex]
Where θ is in degrees.
If the central angle is in radian, then the area of the sector is given as:
[tex]Area=\frac{\theta}{2\pi}*\pi r^2\\ Area=\frac{\theta}{2}* r^2[/tex]
Let us assume A circle has a radius of 2.5 mm a sector of the circle has a central angle of 4 pi/3 radians.
Therefore the radius (r) = 2.5 mm and the central angle (θ) = 4π/3
Therefore:
[tex]Area=\frac{\theta}{2}*r^2\\ \\Area=\frac{\frac{4\pi}{3} }{2} *2.5^2=13.1\ mm^2\\[/tex]
Which angles are congruent to the given angle measure?
1, 4 and 7 angles are congruent to 56°
hope this helps ^-^
- 3/5 + - 8/2 = in simplified way.
Answer:-23/5
Step-by-step explanation:
-3/5-8/2
-3/5-4
-3+20/5
-23/5
Answer:
-23/5
Step-by-step explanation:
-3/5 + - 8/2
Find the least common multiple of 5 and 2.
That would be 10.
That means we have to multiply the first fraction by 2/2 and the second one by 5/5
-3/5*2/2
Multiply the numerators together and the denominators together.
-6/10
Repeat with the second fraction.
-8/2*5/5
-40/10
Our new expression is
-6/10+-40/10
-46/10
Simplify
-23/5
As a mixed number that would be:
-4 3/5
A sugar cookie recipe that makes 4 dozen cookies calls for 2 cups of white sugar. How much white sugar would you need to make 3 dozen cookies?
Answer:
1.5 cups of sugar
Step-by-step explanation:
4/2=2
2 dozens of cookie uses 1 cup of sugar.
3/2=1.5
3dozens of cookie needs 1.5 cup of sugar.
5 2/3 + 3 1/2 =
Your answer
Answer:
9 1/6
Step-by-step explanation:
Add the whole numbers: 5+8
Combine the fractions by making their denominator the same: 7/6
Add 6/6 = 1 so add to the whole numbers to make this a mixed fraction.
Answer:
9 1/6
Step-by-step explanation:
5 2/3 + 3 1/2 =
We need to get a common denominator of 6
5 2/3 *2/2 = 5 4/6
3 1/2 *3/3 = 3 3/6
5 4/6 + 3 3/6
8 7/6
8+ 6/6 + 1/6
8 + 1 + 1/6
9 1/6
is y=1.25x proportional
Jenna has $500 in her account and withdraws $50 every Sunday to pay for her account after n lessons,
Answer:
What do you want for the answer?
This?
500-50n
Step-by-step explanation:
What are the angle measures?
Answer:
m1 - 120
m2 - 60
m3 - 60
m4 - 60
m5 - 30
A triangle is 180 degrees. An equilateral triange's angles are all the same.
write the expression without using exponents (-2y)^4
Answer:
16yyyy
Step-by-step explanation:
Getting rid of exponents:
(-2y)^4 = (-2)^4*y^4 =16yyyyStep-by-step explanation:
(-2y)^4
= (-2) ^4 ( y) ^4
= (16) (yyyy)
= 16yyyy
PLEASE HELP! Simplify radical square root -48
Answer:
B
Step-by-step explanation:
4×4×3=48
4 comes out.
a - never comes out of radical and stays in the radical with 3.
the simplest way I could explain
Answer: OPTION 3
Step-by-step explanation:
First of all, you need to know the concept of imaginary number or i.
i (imaginary number)=√-1
-----------------------------------------------
√-48=√16 × √3 × √-1 ⇔ This splitting is just help you to understand better.
√16=4 ⇔ This is a perfect square
√3=√3 ⇔ Nothing to change
√-1=i ⇔ imaginary number as mentioned before.
√-48=√16 × √3 × √-1
√-48=4 × √3 × i
√-48=4i√3
In the data set below, what is the variance?
6 7 2 1 8 29
In the data set below, what is the variance?
6 7 2 1 8 29
s^ 2 ≈ 105.368
35,012,129 ____ 35,011,129 greater than less than PLEASE HELP
ANSWER FREE COINS JUST SAY =
Answer:
35,012,129 > 35,011,129
Answer:
>
Step-by-step explanation:
everything is the same but the 12 and 11
Explain how to round a number when three is a digit to the right of the rounding place
Answer:
if the number is 5 or higher, you round up.
if the number is 4 or lower, you round down.
96.57 → 96.6
96.53 → 96.5
Name the intersection of lines r and a.
Answer:
point B
Step-by-step explanation:
the lines intersect at that point
This histogram shows the percentage of the population that smokes tobacco for 123 countries. Which one of the following values is the most reasonable estimate for the IQR?
Answer:
9.5
Step-by-step explanation:
The formula for interquartile range = Third Quartile - 1st Quartile
= Q3 - Q1
Looking at the histogram given, the class width = 6
Step 1
We find the number of values = n
n = 1 + 12 + 26 + 27 + 31 + 19 + 6 + 1
= 123
Frequency Cumulative Frequency
1 1
12 13
26 39
27 66
31 97
19 116
6 122
1 123
Step 2
We find Q1 ( First Quartile)
Q1 =1/4 (n + 1) value
Q1 = 1/4(124) value
= 31st value
The first Quartile = 31st value
31 - 13 = 18
31st value = 12 + (18/26 × class width)
= 12 +( 18/26 × 6)
First Quartile = 16.153846154
Third Quartile =Q3 =3/4 (n + 1) value
Q1 = 3/4(124) value
= 93rd value
The first Quartile = 93rd value
93 - 66 = 27
93rd value = 1 + (27/97 × class width)
=24 +( 27/97 × 6)
Third Quartile= 25.670103093
Interquartile range = Q3 - Q1
= 25.670103093 - 16.153846154
= 9.5162569392
Approximately = 9.5
Inter Quartile range = 9.5
The first element in the periodic table is
Answer:
Step-by-step explanation:
Hydrogen
Answer:
Hydrogen
Step-by-step explanation:
Look at the periodic table.
Also, has the lowest attomic number.
NEED THIS QUESTION PLEASE AND THE WORK SHOWN PLEASE what does the runner up in a miss universe contest win
Answer:
You need a protractor to measure each angle otherwise you can't really assume each angle because it won't be accurate
The data below are the temperatures on randomly chosen days during the summer and the number of employee absences at a local company on those days. Construct a 95% prediction interval for y, the number of days absent,
given x = 95 degrees and y= 0.449x - 30.27
Temperature, x 72 85 91 90 88 98 75 100 80
Number of absences, y 3 7 10 10 8 15 4 15 5
Answer:
12.385; (10.0, 14.7)
Step-by-step explanation:
Given the following information :
Temperature, x 72 85 91 90 88 98 75 100 80
Number of absences, y 3 7 10 10 8 15 4 15 5
The obtained regression equation:
y= 0.449x - 30.27
Where y = predicted variable ; x = independent variable ; - 30.27 = intercept and slope = 0.449
Constructing a 95% prediction interval for y:
x = 95°
Inputting x = 95 into the regression equation :
y= 0.449(95) - 30.27
y = 42.655−30.27 = 12.385
Prediction interval = y ± error margin
To save computing time, error margin (E) can be obtained using the online error margin calculator.
Obtained error margin (E) value = 2.3398
(12.385 - 2.3398, 12.385 + 2.3398)
(10.0452, 14.7248)
(10.0, 14.7)
what is α3 = -343 answer
Answer:
a3= -343
divade both side by 3 to make a the subject
a3/3= -343/3
a = -114.3