Answer:
H
Step-by-step explanation:
The mean heigh of American Males is 69.5 inches. The height of the 43 male presidents have a mean 70.78 inches and a standard deviation of 2.77 inches. Treating the 43 presidents as a simple random sample, determine if there is evidence to suggest that the US presidents are taller than the average American male. Use the a= 0.05 level of significance.
Answer:
There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male
Step-by-step explanation:
The given parameters are;
The mean height of American Males, μ = 69.5 inches
The mean height of 43 male presidents, [tex]\overline x[/tex] = 70.78
The standard deviation, s = 2.77 inches
The number of male presidents = 43
The null hypothesis; H₀ μ = [tex]\overline x[/tex]
The alternative hypothesis; Hₐ μ ≠ [tex]\overline x[/tex]
The significance level, α = 0.05
The t test for the sample with unknown population standard deviation is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302[/tex]
The degrees of freedom, df = n - 1 = 43 - 1 = 42
The critical 't' value = 2.0181
Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male
Evaluate using P E M D A S 2 x 3 + 4
Step-by-step explanation:
We would do multiplication first, because of order of operations.
2x3=6
Now we add.
6+4=10
hope it helps! :3
Change the fraction to a decimal: 7/3 = _____
If the decimal repeats, show the repeating pattern twice.
(For example for 1/9, type 0.11)
Answer:
2.33
Step-by-step explanation:
7 divided by 3 will equal 2.33
Write the equation of the line shown on the graph in slope-intercept form.
Remember Slope-Intercept Form is y=mx+b
Answer:
[tex]y = x -3[/tex]
Step-by-step explanation:
1) First, find the slope by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. We can see that the two points marked on the line are (0, -3) and (3,0). So, substitute the x and y values of those points into the formula and solve:
[tex]m = \frac{(0)-(-3)}{(3)-(0)} \\m = \frac{0+3}{3-0} \\m = \frac{3}{3} \\m=1[/tex]
So, the slope is 1.
2) Slope-intercept form is represented by the formula [tex]y = mx+b[/tex]. Substitute values for [tex]m[/tex] and [tex]b[/tex] in order to write an equation.
Substitute 1 for [tex]m[/tex] since it represents the slope. Substitute -3 for [tex]b[/tex] since it represents the y-intercept. (Remember that the y-intercept is the point at which the line intersects the y-axis. So, by looking at the graph provided, we can see that (0,-3) is the y-intercept without doing any calculations.) This gives the following answer:
[tex]y = x -3[/tex]
Find the area of the figure. please have an explanation
Answer:
Step-by-step explanation:
[tex]\text{The area of a circle is }\pi r^2\text{ so the area of half a circle is }\frac{\pi r^2}{2}\\ \\ A=\frac{\pi 11^2}{2}\\ \\ A=\frac{3.14(121)}{2}\\ \\ A\approx 189.97cm^2[/tex]
Answer:
760.25
Step-by-step explanation:
The formula for the surface area of a sphere is A=4πr².
r=the radius, or half of the diameter, of the circle.
when you plug in the radius and answer the formula, you should get 1520.5.
You should then divide it by 2 since we are trying to find half of the circle.
Joey earns a weekly salary of $325 plus a commission on his total sales. Last week his sales were $2950, and he earned a total of $915. What was his commission rate?
Answer:
Commission rate is 20%.
Step-by-step explanation:
Joey's weekly salary is $325
Plus a commission on his total sales.
Let commission is x% on his total sales.
So, we can set up equation for the given information as
325+x%(2950)= 915
Solve this equation for x%.
Subtract both sides 325
x%(2950) =590
Divide both sides by 2950
x%=0.2
We know x% means it is [tex]\frac{x}{100}[/tex]
So, [tex]\frac{x}{100} =0.2[/tex]
Multiply both sides by 100
x=20%.
So, commission rate is 20%
which one should I pick??
Please help!
(Vieta's Formulas) Let [tex]r[/tex], [tex]s[/tex], and [tex]t[/tex] be solutions to the equation [tex]$2x^3 - 3x^2 + 4x - 1 = 0$[/tex]. Find [tex]$r^2+s^2+t^2$[/tex].
Please include an explanation as well :)
We are given the polynomial:
2x³ - 3x² + 4x - 1 = 0
We need to find the value of r² + s² + t² where r,s,t are the solutions.
Simplifying r² + s² + t²:
r² + s² + t² = (r + s + t)² - 2(rs + st + rt)
[since a²+b²+c² = (a+b+c)² - 2(ab + bc + ca)]
Using the Vieta's formulae:
Above, we can see that in order to find the value of r² + s² + t², we need to find the value of the sum of solutions and sum of solutions taken 2 at a time.
Sum of roots:
We know that the Vieta's formula to find the sum of roots is:
Sum of roots = [tex]-\frac{b}{a}[/tex]
Where b and a are the coefficients from the general form: ax³ + bx² + cx - d
We notice that for the given equation, b = -3 ; a = 2
Sum of roots = [tex]-(\frac{-3}{2})[/tex]
Sum of roots = [tex]\frac{3}{2}[/tex]
Hence, the sum of roots (r + s + t) = 3/2
Sum of roots taken two at a time:
We know that the Vieta's formula to find the sum of roots taken 2 at a time is: Sum of roots taken 2 at a time = [tex]\frac{c}{a}[/tex]
Where c and a are the coefficients from the general form: ax³ + bx² + cx - d
for the given equation, c = 4 ; a = 2
Sum of roots taken 2 at a time = [tex]\frac{4}{2}[/tex]
Sum of roots taken 2 at a time = 2
Hence, the sum of roots taken 2 at a time (rs + st + rt) = 2
Finding the value of r² + s² + t²:
We proved before that:
r² + s² + t² = (r + s + t)² - 2(rs + st + rt)
now that we know the values of (r + s + t) and (rs + st + rt), we can plug those values to get our answer
r² + s² + t² = ([tex]\frac{3}{2}[/tex])² - 2(2)
r² + s² + t² = ([tex]\frac{9}{4\\}[/tex]) - 4
r² + s² + t² = [tex]\frac{9 - 16}{4\\}[/tex]
r² + s² + t² = [tex]\frac{-7}{4}[/tex] = -1.75
Hence, the value of r² + s² + t² is -1.75
4 (3+ 1/4c -1/2d) = _____
4(3+14c−12d)
=(4)(3+14c+−12d)
=(4)(3)+(4)(14c)+(4)(−12d)
=12+c−2d
=c−2d+12
25 POINTS IF YOU ANSWER THIS AND PLEASE TELL ME WHAT K IS!!
9514 1404 393
Answer:
k = 2
Step-by-step explanation:
Find a coordinate of a point and its image. k is the ratio of those.
Here, it is easy to use the y-coordinate of J and J'.
Jy = -1
J'y = -2
k = J'y/Jy = -2/-1 = 2
The scale factor k is 2.
Does the rule y = −2 · 2x represent a linear or an exponential function?
Exponential
18x^2-8=0 I have to factor it but I’m not sure how to! Please help!
Answer:
hope it helps...........
Answer:
[tex]x=-2/3, 2/3[/tex]
Step-by-step explanation:
2x2+12x-54
please help I need the two factors of these numbers
Answer:
2
2
+
1
2
−
5
4
2
(
2
+
6
−
2
7
)
Step-by-step explanation:
the Arizona Cardinals won nine games and lost seven games what is the ratio of the game won to games lost?
Answer:
9;7
Step-by-step explanation:
What is 2x+7y=28 in slope intercept form
Answer:
y = -2/7x + 4
Am I right? Giving 60 points and Brainliest.
Answer:
60 points is the right answer
Step-by-step explanation:
Answer:
ya
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Two angles of a triangle measure 45° and 87°. Find the measure of the third angle, in degrees. (Enter an exact number.)
°
Answer:
48
Step-by-step explanation:
All the angles of a triangle add up to 180
180-45-87=48
Hope this helps! If it did, please mark it brainliest!
P.S. Make sure not to fall for the link scams ;)
3 for performance, 5 for voice, 5 for participation, and 11 for dance. She randomly picks a trophy for show and tell day at school. What is the probability it will be for dance?
The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.
Answer: C
Step-by-step explanation: Because I said soooaiahi
Name a plane parallel to plane DEF.
Step-by-step explanation:
angle ABC is a parallel to angle DEF
Answer:
If you give me options and a picture I can help.
Step-by-step explanation:
If not the question makes no sense
A polygon on a coordinate grid was transformed using the rule (x,y) -> (x-4,y-3). Which of these describes this transformation?
A: a translation 4 units to the left and 3 units down
B: a translation 4 units to the right and 3 units down
C: a translation 4 units to the left and 3 units up
D: a translation 4 units to the right and 3 units up
If TRAP is an isosceles trapezoid, what is the value of X?
6x"
(2x + 4)"
Answer:
The answer is 22.
Step-by-step explanation:
6x+2x+4=180
8x+4=180
8x=176
x=22
Which of the following is always true about the expression 5 x 1/4?
Answer: c. When a > 0 and b > 1, the function models exponential growth.
You have exponential decay when a > 0 and 0 < b < 1.
Step-by-step explanation:
Geometric mean
Pls help thank u
Answer:
Step-by-step explanation:
1). Geometric mean of a and b = [tex]\sqrt{a\times b}[/tex]
Therefore, geometric mean of 2 and 50 = [tex]\sqrt{2\times 50}[/tex]
= 10
2). By geometric mean theorem,
[tex]\frac{JM}{KM}=\frac{KM}{ML}[/tex]
[tex]\frac{6}{e}=\frac{e}{24}[/tex]
e² = 6 × 24
e = √144
e = 12
Similarly, [tex]\frac{JL}{KJ}=\frac{KJ}{JM}[/tex]
[tex]\frac{6+24}{d}=\frac{d}{6}[/tex]
d² = 6 × 30
d = √180
d = 6√5
And [tex]\frac{JL}{KL}=\frac{KL}{ML}[/tex]
[tex]\frac{6+24}{c}=\frac{c}{24}[/tex]
c² = 30 × 24
c = √720
c = 12√5
Solve the system.
y = 3x + 1
-x + 2y = -3
-3, -3
,........... .......
8) A bag contains 5 red marbles and
4 blue marbles. Find the probability of
drawing a blue marble, keeping it, and
drawing another blue marble. Write the
probability as a fraction in simplest form.
2/3
Step-by-step explanation:
the anwser would be either 2/3 or 1/3
Consuelo won the lottery. He can receive $100,000 or $3 on day 1, $9 on day 2, $27 on day 3... etc for 30 days. Which option will give Consuelo the most money?
how would I solve this? I'm not sure what to do on this question, don't give me the answer, just kinda tell me what to do
Answer:
ordü use uuuuuv bûsh!!!!!!!!!!
Can someone figure this out for me?
Answer:
44°
Step-by-step explanation:
cos B = 0.7193 = 44°
Felix is designing a clock. He sketches the design on a coordinate grid. He graphs the shape of the clock with the vertices (–8, 6), (8, 0), and (8, 6 ). Which statement describes the shape of the clock? The shape has three sides. The shape is a quadrilateral. The shape is a circle. The shape has six sides.
Answer:
A. The shape has three sides
Step-by-step explanation:
Hope this helps, have a great day
The solution is Option A.
The shape of the clock is having three sides and it represents a triangle
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the shape of the clock be represented as A
Now , let the coordinates of the clock be
The first coordinate point of clock P = P ( -8 , 6 )
The second coordinate point of clock Q = Q ( 8 , 0 )
The third coordinate point of clock R = R ( 8 , 6 )
So , there are three sides to the clock with three coordinate points
The figure represents a triangle with 3 sides
Therefore , the value of A is a triangle
Hence , the figure represents a triangle
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ6
-2.5 x 3 = with shown work pls
Answer:
7.5
Step-by-step explanation:
-2.5 x 3 = 7.5
Answer:-7.5
Step-by-step explanation:
(−2.5)(3)
=−7.5