Answer:
H0: p ≥ 0.70; HA: p < 0.70
Sample proportion = 0.625
Test statistic = -1.79
Pvalue = 0.0367
Older workers in Asia feel less fulfilled
B.)
H0: p ≤ 0.50; HA: p > 0.50
0.58
2.35
0.0094
younger workers in Asia feel more fulfilled
Step-by-step explanation:
1.)
H0: p ≥ 0.70;
HA: p < 0.70
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
Phat = x / n = 75/120 = 0.625
1 - p = 1 - 0.7 = 0.3
(0.625-0.70) / sqrt(0.7*0.3/120)
-0.075 / 0.0418330
= - 1.79
Pvalue FROM Zscore calculator :
Pvalue = 0.0367
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude older workers in Asia feel less fulfilled than their British counterparts.
B.)
H0: p ≤ 0.50; HA: p > 0.50
Sample proportion, phat = 58% = 0.58
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
(0.58 - 0.50) / sqrt(0.58*0.42)/210)
0.08 / 0.0340587
Test statistic = 2.35
Pvalue FROM Zscore calculator :
Pvalue = 0.0094
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude younger workers in Asia feel more fulfilled than their British counterparts
g(x)=2x
h(x)=4x-3
Find (g-h)(2)
Answer:
-1
Step-by-step explanation:
g(x) = 2x
h(x) = 4x - 3
(g - h)x = g(x) - h(x)
g(x) - h(x) = 2x - 4x + 3
g(2) - h(2) = 2*2 - 4*2 + 3
g(2) - h(2) = -4 + 3
g(2) - h(2) = - 1
plz help me 5th grade work
Answer:
8 AND 12
Step-by-step explanation:
MAURICE 8
MIRANDA 12
Use two unit multipliers to convert 4000 square inches to square feet.
Answer:
(4000 in^2) * (1 ft/12 in)^2 = 27 7/9 ft^2
Step-by-step explanation:
4,000 Square Inches =
27.777778 Square Feet
I don’t know what to do please don’t give me files I don’t get it
Answer:
i believe its dependent
Step-by-step explanation:
Read this excerpt from Fever 1793.
Andrew Brown's print shop smelled of ink and grease and the sweat of muscular apprentices carrying trays of lead type from the composing table to the printing press. When I was a child, Mr. Brown let me pick out letters and set them in the form. It had been a thrill seeing my words in print.
The printer issued no invitation to me that morning. He was deep in conversation with Mr. Carris as we entered.
Readers understand Andrew Brown's feelings based on his
direct statements
unusual actions.
work habits.
attitude toward others.
Answer: The answer is (B) unusual actions
Step-by-step explanation:
I took the test on edge and got it right and all so the person above me is correct, have a wonderful day. And good luck with your test. (✿◡‿◡)
Reading the excerpt allows a reader to understand what Andrew Brown is feeling thanks to his unusual actions.
How can the reader infer Andrew Brown's feelings?The speaker in the excerpt talked about how Andrew Brown would usually offer to allow him to pick out letters and arrange them in a form.
On this day, Andrew Brown did not offer the speaker that courtesy which was unusual. This shows that Andrew Brown is not his usual self.
In conclusion, option B is correct.
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Find the values of m and n.
Answer:
[tex]m=46^{\circ},\\n=22^{\circ}[/tex]
Step-by-step explanation:
From the isosceles-base theorem, the base angles of two equal legs in a triangle must be equal. Thus, we can set the up the following equation to solve for [tex]n[/tex]:
[tex]136+n+n=180,\\136+2n=180,\\2n=44,\\n=\boxed{22^{\circ}}[/tex]
Now that we've found [tex]n[/tex], we can set up the following equation with respect to the largest triangle:
[tex]90+n+m+n=180,\\90+22+m+22=180,\\134+m=180,\\m=\boxed{46^{\circ}}[/tex]
Answer:
M = 46°
N = 22°
Step-by-step explanation:
Value of M:
Sum of angles in triangle = 180°
180° - 90° - (180° - 136°) = m
90° - 44° = m
m = 46°
Value of N:
The triangle is isosceles (marked by the two congruent lines with the tick)
That means that the other two angles, are the same
180° - 136° = 2n
44° = 2n
n = 22°
If my answer is incorrect, pls correct me!
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HMP is isosceles triangle with base MP, also NP⊥OM and NM = OP Name the postulate or theorem you can use to prove NHM = OHP
Answer:
HL theorem
Step-by-step explanation:
since NP⊥OM, so, L H is a right angle.
and NM = OP as hypotenuse
HL theorem
NP is perpendicular to OM
<NHO=90°NM =OP given
So the triangles are congruent
Which statement compares the limit as x approaches –4 for the two graphs? In both graph I and graph II, the limit is 5. In both graph I and graph II, the limit does not exist. In graph I, the limit does not exist, but in graph II, the limit is 5. In graph I, the limit is 8, but in graph II, the limit does not exist.
ANSWER: A
Answer:
(Thanks) it's A because the limit is in the same place on both graphs. The filled-in dot doesn't affect the limit at all, it just means the "real" value of x=-4 is 8, but the "limit" is still at 5 either way.
Isaiah’s vegetable garden is `15` feet long by `5` feet wide.
He plans to increase the width and length of his garden and put a fence around it.
He writes this expression for the total amount of fencing:
(x+15) + (x+5) + (x+15) + (x+5)
Describe what `x` represents in this situation.
Answer:
Step-by-step explanation:
x is the quantity by which the original measurements of the garden is increased. For example: the original width is 5 ft and x is the amount by which this is increased.
x here is the added value in the width and length of his garden to increase the fencing.
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.
He wants to increase the width and length of his garden and put a fence around it.
He writes an expression for the same, we need to find what is x here,
(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,
So, simply we can say that, x here is the extra length and width.
The farmer added x to each width and the length to increase his fencing,
So, his new dimension will be = x+15 and x+5
So, the perimeter = 2(x+15+x+5)
Here, the perimeter is fencing =
= 2(x+15+x+5)
= x+15+x+5+x+15+x+5
Hence, x here is the added value in the width and length of his garden to increase the fencing.
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A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Below is a computer output for linear regression of amount of fertilizer versus yield for the 10 plots of land.
Predictor Coef SE Coef T P
Constant 10.100 0.7973 12.67 0.000
Fertizer 1.50 0.1879 6.12 0.000
S= 0.8404; R-Sq= 82.4% R-Sq(adj) = 80.28%
Required:
What is the equation of the least squares regression line from this sample?
Answer:
Y = 10.1 + 1.50x
Step-by-step explanation:
From the data contained in the computer output for linear regression
The coefficient of intercept = 10.1
coefficient of fertilizer = 1.50
Sample of an Equation of least squares regression line
y = a + bx
where : a = intercept , b = slope
hence the required equation will be
Y = 10.1 + 1.50x
y = yield , x = fertilizer
The factors 11 and 12 are a factor pair of 137.
O A. True
B. False
Answer:
False
Step-by-step explanation:
[tex] \star \sf \: \frac{137}{11} = 12.4 \\\sf \star \: \frac{137}{12} = 12.4[/tex]
A study is done to find the 95% confidence interval for the difference in means between the ACT scores between two schools in a given city. One school had a random sample of 39 students had a sample mean of 25.90 with a sample standard deviation of 3.49. The second school had a random sample of 37 students had a sample mean 27.70 with a sample standard deviation of 2.47. What is the lower bound of the 95% confidence interval for the difference in means
Solution :
95% confidence interval for the difference between the means of ACT scores between two schools, is given by :
[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]
[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]
[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]
[tex]$n_1=39, \ \ n_2=37$[/tex]
M.E. , Margin of error,
[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]
[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]
[tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]
= 9.222
s = 3.03
[tex]$t_{74,0.05} = 1.99$[/tex]
[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]
= 1.4
Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]
= [-3.2, -0.4]
Therefore, the lower bound is -3.2
Which equation represents a line that has a slope of 1/3 and passed through point (-2,1)?
Answer:
y=1/3x+5/3
Step-by-step explanation:
use the equation y=mx+b plug in slope for m, -2 for x and 1 for y
Write at least three expressions that are equivalent to 3(2x - 5)
Answer:
6x - 15
6x - (5 · 3)
(3 · 2x) - 15
So, for #1, we can just simplify 3(2x - 5) to get another expression:
3(2x - 5),
6x-15
For the next one, we could make a new equation that equals 6x-15:
(3x)+(3x)+(5 *-3)
Then for the last one, how about rewrite it so all of the values are inversely negated?
3(2x - 5),
-3(-2x +5)
If y varies jointly as x and z and y = 24 when x = 2 and z = 1, find y when x is 12 and z is 2.
A. 288
B. 48
C. 576
D. 144
Answer:
288
Step-by-step explanation:
y= xkz
K= y/xz
= 24/2×1
= 24/2
= 12
y= xkz
= 12×12×2
= 288
Hence the value of y is 288
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.
annual premium: $
quarterly premium: $
Answer:
Annual premium = $1,500 per year
Quarterly premium = $375 per quarter
Step-by-step explanation:
Given:
Insured amount of term insurance plan = $15,000
Number of year = 10 year
Find:
Annual premium
Quarterly premium
Computation:
Annual premium = Insured amount of term insurance plan / Number of year
Annual premium = $15,000 / 10
Annual premium = $1,500 per year
Quarterly premium = Insured amount of term insurance plan / Number of quarter in 10 year
Quarterly premium = 15,000 / (10 x 4)
Quarterly premium = 15,000 / 40
Quarterly premium = $375 per quarter
find 5 consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of two numbers
Answer:
The five odd numbers are:
23, 25, 27, 29, and 31
Step-by-step explanation:
A random odd number is written as:
2*n + 1
Where n is an integer.
Then 5 consecutive odd numbers will be:
2*n + 1
2*(n + 1) + 1
2*(n + 2) + 1
2*(n + 3) + 1
2*(n + 4) + 1
Now we want that the sum of the first 3 numbers to be 15 greater than the sum of the two last numbers, then:
(2*n + 1) + (2*(n + 1) + 1) + (2*(n + 2) + 1) = 15 + (2*(n + 3) + 1) + (2*(n + 4) + 1)
Now we just need to solve this for n:
(2*n + 1) + (2*n + 3) + (2*n + 5) = 15 + (2*n + 7) + (2*n + 9)
6*n + 9 = (15 + 7 + 9) + 4*n
6*n - 4*n = 15 + 7 + 9 - 9
2*n = 15 + 7 = 22
n = 22/2 = 11
Then the five numbers are:
(2*11 + 1) = 23
(2*(11 + 1) + 1) = 25
(2*(11 + 2) + 1) = 27
(2*(11 + 3) + 1) = 29
(2*(11 + 4) + 1) = 31
The mean temperature for the first 7 days in January was 6 °C.
The temperature on the 8th day was 3 °C.
What is the mean temperature for the first 8 days in January?
Answer:
GIME SOME POINTS
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is 4.5
The volume of a cylinder is 1800cm. if the height of the cylinder is 40cm then the diameter of cylinder is?
Answer:
Step-by-step explanation:
Math! Please help marking brainliest if it's correct and Explain
Answer:
D. The median, 5, is greater than the mean, 4,
Step-by-step explanation:
Median: Put them from least to greatest, ( but they are) then find the middle
Mean: Add all the numbers together= 20, divide that by the numbers you added from 5: 20/5=4
5 from median is < than mean 4
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Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66
Answer:
B)
Step-by-step explanation:
x+36=102
x=102-36
x=66
Therefore, substitute x in your formula for x+14
66+14
Plz help me well mark brainliest if correct!!.....
Answer:
12 inches
Step-by-step explanation:
All you have to do is divide 72 by 6.
72 divided by 6 equals 12.
So your answer would be D.12 inches
23/100 converted to a decimal
What are the zeros of the function y = 2x2 + 9x+4 ?
Help pls! ;-;
Answer:
x = {-4, -1/2}
Step-by-step explanation:
2x² + 9x + 4 = 0
Factor
(2x + 1)(x + 4) = 0
2x + 1 = 0
x = -1/2
x + 4 = 0
x = -4
x = {-4, -1/2}
peter weighs is 105 kg he wants to lose 500 g per week how many weeks will it take for him to have a mass of 90 kg ?
Answer:
it will take him 30 weeks
Step-by-step explanation:
2 weeks = 1 kilogram lost
105-90=15
1 x 15 = 15
2 x 15 = 30
Find the value of x. Round to the nearest degree.
Not drawn to scale
Answer:
Dude Where's the Diagram?
Which is the graph of f(x) = 3x?
5-64 =
A. -8
B. -4
C. 4 or -4
O D. -16
Help me please, I need this
321,300,0
Multiply 20x17x15x18x35
20×17= 340
5×18= 90
340+90= 430
answer 430 km
i hope this helps ^^
Question 23 of 25
Find x. Round your answer to the nearest integer.
15
37
х
O
A. 6
B. 9
0 o o
C. 12
D. 8
Answer:
[tex]x[/tex] rounded to the nearest integer would be 12.
Step-by-step explanation:
In order to calculate the length of [tex]x[/tex], you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of [tex]x[/tex]. In this case, [tex]\frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x}[/tex] ⇒ [tex]\frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})}[/tex] ⇒ [tex]x=\frac{15*sin(53^{o})}{sin(90^{o})}[/tex] ⇒ [tex]x=15*sin(53^{o} )[/tex] ⇒ [tex]x[/tex] ≈ 12. So side [tex]x[/tex] rounded to the nearest integer would be 12.
The value of x in the given triangle is 12, Option C is correct.
The given triangle is a right angled triangle.
We need to find the value of x.
We know that cosx is adjacent side by hypotenuse.
Cos 37 = Adjacent side/ Hypotenuse
The value of cos37 degrees is 0.7654
0.7654 = x/15
15×0.7654=x
11.5 =x
12=x
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