Answer:
the shorter man
Step-by-step explanation:
224 cm minus 174.21 = 49.79
49.79/5.56= approximately 9 standard deviations from the mean.
174.21 minus 97.8= 76.41
76.41/5.56= approximately 14 standard deviations from the mean.
bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.
Share ur negativity…
Answer:
I'm almost 30,000 dollars in debt
Step-by-step explanation:
It makes me cry
Every day Ahmet buys a scratch-off lottery ticket with a 40%, percent chance of winning some prize. He noticed that whenever he wears his red shirt he usually wins. He decided to keep track of his winnings while wearing the shirt and found that he won 3 out of 3 times. Let's test the hypothesis that Ahmet's chance of winning while wearing the shirt is 40%, percent as always versus the alternative that the chance is somehow greater.
Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
At the null hypothesis, we test if the proportion is of 40%, that is:
[tex]H_0: p = 0.4[/tex]
At the alternative hypothesis, we test if the proportion is greater than 40%, that is:
[tex]H_1: p > 0.4[/tex]
The test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
In which:
X is the sample proportion.p is the value tested at the null hypothesis.s is the standard error, given by:[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]
With n as the sample size.
In this problem:
0.4 is tested at the null hypothesis, thus [tex]p = 0.4[/tex].Won 3 out of 3, thus [tex]n = 3, X = \frac{3}{3} = 1[/tex].The standard error is:[tex]s = \sqrt{\frac{0.4(0.6)}{3}} = 0.283[/tex]
The value of the test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
[tex]Z = \frac{1 - 0.4}{0.283}[/tex]
[tex]Z = 2.12[/tex]
The p-value is the probability of finding a sample proportion of 1 or "above", which is 1 subtracted by the p-value of Z = 2.12.
Looking at the z-table, Z = 2.12 has a p-value of 0.983.1 - 0.983 = 0.017.The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
A similar problem is given at https://brainly.com/question/24166849
The ratio
adjacent
describes which function?
hypotenuse
O A. Cosine
O B. Tangent
1.0
O C. Secant
O D. Sine
O
Answer:
A. Cosine
Step-by-step explanation:
It is cosine because ADJ/HYP is Cosine in Soh Cah Toa.
The ratio adjacent/hypotenuse shows the Cosine function.
What is Trigonometry?Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
We have,
To find the ratio equivalent to Adjacent / Hypotenuse.
We know that the ratio of an angle's perpendicular (opposite) side to its hypotenuse is known as its sine.
and, Cosine of an angle is defined as the ratio of the side adjacent to that angle to the hypotenuse.
or Cosine ratio = Adjacent/ Hypotenuse
Learn more about Trigonometry here:
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Need help fast thank you it would really help
Answer:
See belowStep-by-step explanation:
Line Ay - y₁ = m(x - x₁)y + 3 = -3/4(x + 4)The slope is m = -3/4Line BUse the points (0, 5) and (6, 0).
The slope is:
m = (y₂ - y₁)/(x₂ - x₁)m = (0 - 5)/(6 - 0) = - 5/6Compare the absolute value of slopes:
-|3/4| < |5/6|The slope of the line A is shallower (or less steep, use the corresponding word from the drop down list) of slope of line B.
Natalie is a real estate agent and earns a 3% commission on all homes she sells. She estimates that she will earn $8,250 on the next house she sells. She actually earns $9,210. What was Natalie’s estimate for the selling price of the home? What was the actual selling price of the home?
Using the percentage principle, the estimated and actual sale price of the Home are $275, 000 and $307,000 respectively.
Commission on sale = 3%Estimated commison = $8250
Let Estimated sale price = P
3% × P = 8250
0.03p = 8250
p = 8250 / 3
p = $275000
Actual commission earned = $9210
Let Actual sale price = P
3% × P = 9210
0.03p = 9210
p = 9210 / 3
p = $307,000
Therefore, the estimated and actual sale price are $275,000 and $307,000 respectively.
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Please answer all 3 questions. I need real answers. It should only take about 10 minutes. Real answers only, or I will report you.
Answer:
1.(x-7)(x+2)=x^2-7x+2x-14=x^2-5x+14
2.(x+5)(x-1)=x^2-x+5x-5=x^2+4x-5
3.-2(x+1)(x-2)=-2(x^2-2x+x-2)=-2(x^2-x-2)=-2x^2+2x+4
help Perform the indicated operation.
(-7) · (-5)
-12
-35
12
35
35
Step-by-step explanation:(-7) • (-5)
= 7 • 5
= 7 + 7 + 7 + 7 + 7
= 14 + 7 + 7 + 7
= 21 + 7 + 7
= 28 + 7
= 35
[tex] [/tex]
helpp meeeee plsssss
What is the solution to the following system of
equations?
-2x + 8y = - 14
- 4x + y = - 13
Answer true or false
Answer:
true
Step-by-step explanation:
please mark brainiest
Anyone know the common ratio and zero term for this ?
4, 12, 36, ...
Answer:
36/12=3
12/4=3
Therefore, common ratio is 3
Tn = ar^(n-1)
T0=4*3^(0-1)
4*1/4
4/3
how do you prove that vertical angles are ⩭
Answer:
congruent
Step-by-step explanation:
If two angles are vertical angles, then they're congruent
hope it helps
mark me brainliest
whats is 2+2?
im confused pls explain
Identify which of the sequences below is a geometric sequence.
A. 2, 4, 6, 8,...
B. 3, 6, 18, 54, ...
C. 2, 6, 18, 54. ...
D. 2, 6, 18, 36, ...
Answer:
C or B
Step-by-step explanation:
because you have to think and just because the numbers are in order dont mean nun so the most answer that makes sense is C
What is the solution to the system -3×+4y+2z=-3 2×-4y-z=0 y=3x-13
Answer:
x=5, y=2, z=2
Step-by-step explanation:
y=3x-13
-3x+4y+2z = -3x + 4(3x-13) + 2z = 9x+2z-52 = -3
9x + 2z = 49 ... (1)
2x-4y-z = 2x-4(3x-13)-z = -10x-z+52 = 0
10x + z = 52 ... (2)
(2)*2-(1): 11x = 55 x = 5
y = 3x-13 = 15-13 = 2 y=2
z = (49-9x) / 2 = 2 z = 2
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2/3 + y^2/3 = 4
(-3√3, 1)
(astroid)
Differentiate both sides of
[tex]x^{2/3} + y^{2/3} = 4[/tex]
implicite with respect to x :
[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for the derivative dy/dx :
[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]
Get the slope at the given point (-3√3, 1) :
[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]
Then the equation of the tangent line to the curve through (-3√3, 1) is
[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]
can you solve five ninths plus four sixths =
Answer:
five ninths plus four sixths is sixty six fifty four
15 is 37 1/2 of what number?
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40
What is the result of 96-8? Use the model to find the answer.
00
12
32
In a random sample of 175 community college students, the mean number of hours spent studying per week is 13.7 hours and the standard deviation is 4 hours.
Assuming the distribution of the number of hours community college students study per week is normally distributed, approximately how many of the students in the sample study between 9.7 and 17.7 hours per week?
Answer:
Approximately there are 119.47 students per week
Step-by-step explanation:
The # of students in the sample study between 9.7 and 17.7 hrs per week;
P (9.7 < x < 17.7) = P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)
P (-4/4 < 7 < 4/4)
P (-1 < 7 < 1)
0.8413 - 0.1587
0.6827
Therefore the # of student = n P
175 * 0.6827
119.47
A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (V) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
50 POINTS NEED HELP ASAP PLS AND THANK YOU
It is observed that point (18, 206) does not lie on the line. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
y = 12x
Where 'y' represents the number of gallons of water in the pool and 'x' represents the number of minutes the water runs.
The equation is drawn below.
From the chart, it is seen that point (18, 206) doesn't lie on the line. Then the right choice is D.
More about the linear equation link is given below.
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I need help please! (23)(−98)(−45)(−1)
Answer:
−101430
Step-by-step explanation:
Pictomath lol
Factorise 3a2 (squared) - 7a
What’s the answer?
Don’t use the calculator.
Step-by-step explanation:
[tex] {3a}^{2} - 7a \\ a(3a - 7) \\ \\ \\ \\ \\ \\ hope \: it \: helps \\ stay \: safe \: healthy \: and \: happy[/tex]
Please Help! I will give you a lot of points! (6.3)
The average yearly salary of a lawyer is $34 thousand less than twice that of an architect. Combined, an architect and a lawyer earn $215 thousand. Find the average yearly salary of an architect and a lawyer
What is the average yearly salary of an architect?
What is the average yearly salary of a lawyer?
Let architect s income be x
Lawyers income be 2x-34AtQ
[tex]\\ \sf\longmapsto x+2x-34=215[/tex]
[tex]\\ \sf\longmapsto 3x-34=215[/tex]
[tex]\\ \sf\longmapsto 3x=249[/tex]
[tex]\\ \sf\longmapsto x=83[/tex]
[tex]\\ \sf\longmapsto 2x-34=166-34=132[/tex]
Lawyers income=132thousandArchitect s income=83thousandWhat kinds of education did Martin Luther king JR have in high school and college?
Answer ASAP
Step-by-step explanation:
graduated from Booker T. Washington High School and was admitted to Morehouse College at age 15. Graduates from Morehouse college and enters Crozer Theological Seminary.
I need some help with y = tan(x − π/4 ) + 1
thats the graph for it hope it helps
Marcia needs to wrap a gift box that's 16 in x 18 in x 44 in.
How much wrapping paper will she need to cover the surface area of the box?
A) 1,784 in^2
B) 12,672 in^2
C) 6,336 in^2
D) 3,568 in^2
Answer:
B. 12,672 in^2
16 x 18 x 44 = 12672
Answer:
D.
Step-by-step explanation:
3. Solve 1 < 3x – 2 < 13.
Answer:
1< x <5
Step-by-step explanation:
1<3x−2<13
1+2<3x−2+2<13+2 (Add 2 to all parts)
3<3x<15
33<3x3<153 (Divide all parts by 3)
1< x <5
Answer:
(1,5)
Step-by-step explanation:
What’s the domain and range ?
Answer:
2,5 I'm guessing
Step-by-step explanation:
because two up and five to the right even though its kinda blurry
7+2n=8n-5
n=?
whatsl does n equal
8n -2n=7+5
6n =12
n =2
this is the answer