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
what is quarter to twelve on the 24 hour clock
Answer:
11:45
Step-by-step explanation:
Find the area of a parallelogram with these dimensions.
base = 6 meters
height = 2.25 meters
Answer:
13.5
Step-by-step explanation:
math i did it somehow
Find the value of x.
110
80
40
35
Answer:40
Step-by-step explanation:
After checking that conditions are met, you perform a significance test of 0:=1 versus :≠1 . You obtain a -value of 0.022.
Which of the following must be true?
A 95% confidence interval for will include the value 0.022.
A 99% confidence interval for will include the value 1.
None of these is necessarily true.
A 99% confidence interval for will include the value 0.022.
A 95% confidence interval for will include the value 1.
Answer:
A
Step-by-step explanation:
The true statement is
A 99% confidence interval for will include the value 1.
What is Confidence Interval?The range of values that we observe in our sample and for which we anticipate finding the value that accurately reflects the population is referred to as a confidence interval.
Given:
[tex]H_0: \mu = 1\\H_\alpha : \mu \neq 1[/tex]
P= 0.022
If the P- value is smaller than significance level, then the null hypothesis is rejected.
P< 0.05 - 5% Reject [tex]H_0[/tex]
P> 0.01 = 1% Fail to Reject [tex]H_0[/tex]
A 95% Confidence interval correspond with a significance test at the 5%
significance level.
A 99% Confidence interval correspond with a significance test at the 1%
significance level.
If the Significance test was Significant then the interval does not contain the value mentioned in the Hypothesis.
95% CI does not contains 1.
99% CI contains 1.
Learn more about Confidence Interval here:
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A radio station tower was built in two sections. From a point that is 70 feet from the base of the tower, the angle of elevation to the top of the section is 28 degrees, and the angle of elevation to the top of the second section is 40 degrees. What is the height of the top section of the tower to the nearest tenth of a foot?
Answer:
21.5 feet
Step-by-step explanation:
d = Distance of the bottom of the tower to the point of observation
x = Height of the top section of the tower
a = Height of bottom section
b = Total height of tower
[tex]\tan28^{\circ}=\dfrac{a}{d}\\\Rightarrow a=d\tan28^{\circ}\\\Rightarrow a=70\tan28^{\circ}[/tex]
[tex]\tan40^{\circ}=\dfrac{b}{d}\\\Rightarrow b=d\tan40^{\circ}\\\Rightarrow b=70\tan40^{\circ}[/tex]
[tex]x=b-a\\\Rightarrow x=70\tan40^{\circ}-70\tan28^{\circ}\\\Rightarrow x=70(\tan40^{\circ}-\tan28^{\circ})\\\Rightarrow x=21.5\ \text{feet}[/tex]
The height of the top section of the tower is 21.5 feet.
hey besties first to answer gets brainliest bc i forgot how to calculate triangles
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Answer:
The amount Lilian needs to invest is $5,160
Step-by-step explanation:
The parameters of the amount Lilian is going to invest in an account are;
The interest rate the account pays = 5.7%
The final amount the investment is expected to reach after the given time period = $7,600
The number of years of the investment = 7 years
The formula for compound interest is presented as follows;
[tex]A = P \cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]
Where;
A = The final amount = $7,600
P = The amount Lilian is to invest
r = The interest rate = 5.7% = 0.057
n = The number of times the interest is applied per time period = 1
t = The number of period that passes = 7 (years)
Therefore, we get;
[tex]7,600 = P \cdot \left(1 + 0.057 \right)^{7}[/tex]
∴ P = 7,600/(1 + 0.057)⁷ = 5,155.7123754
The amount Lilian needs to invest (rounded to the nearest ten dollars) for the value of the account to reach $7,600 in 7 years, P = $5,160
giving brainliest! (look in attached image)
Answer: 50$
Step-by-step explanation:
15:3=5$
25:5=5$
30:6=5$
60:12=5$
5$ x 10=5=50$
Which graph best represents the solution to the following pair of equations?
y = 4x + 2
y = x + 5
Answer:
where are the graphs?
Step-by-step explanation:
Answer:
EZ
Step-by-step explanation:
PLSSS HELPPP REWARD BRAINLIEST AND STARSSS
Answer:
It will take 3.5s
Step-by-step explanation:
please help , thank you !!!!!!1
The Weston family spends a maximum of
$50.00 per month on entertainment. Write and
graph an inequality to represent this.
Answer:
y < 50x
Step-by-step explanation:
In order to graph this inequality, you first need to identify the important word(s) here to find the inequality sign; in this case, it would be "maximum of $50" a month. Since it's a maximum of $50 a month (or less than $50 a month), you can write it as:
Where m is months and c is total cost, c < 50m
If you need to graph this, you can write it as y < 50x. The cost is y since it's the output, and months is x since that's the input.
what is the area?
diameter of circle is 7 m
Answer:
the area is 52.49
Step-by-step explanation:
triangle
radius is 3.5
3.5x19=66.5÷2=33.25
hemisphere
π3.5squared=38.48
38.48÷2=19.24
33.25+19.24= 52.49
Express this number in scientific notation.
31 billion
Answer:
3.1 * 10^10
Step-by-step explanation:
la semana pasada compramos berenjenas a un precio de 2,7soles/kg y patatas aun precio de 0,7soles/kg pagamdo por ellas en total de 15,1soles. sin embargo, esata semana hemos pagado 18 soles por una compra con la misma cantidad de estas hortalizas a un precio de 2soles por kilo de berenjenas y 1,2soles por kilo de patatas.calcula la cantidad de hortalizas que se compran
Find the area of the figure.
Answer and Step-by-step explanation:
For this shape, we have to draw a line that goes through the point that is inside of the shape from top to bottom.
This creates a square and two triangles.
The area formula for a triangle is A = [tex]\frac{bh}{2}[/tex]
The area of a square is A = b*b
Half of 3 is 1.5.
Triangles (Area combined):
Since there are two triangles that are the same, we only need to find the area of of 1 triangle, and not divide by 2.
A = 3 × 1.5 = 4.5
Square:
A = 3 × 3 = 9
Now, we add them together to get the total area of the figure.
9 + 4.5 = 13.5
The area of the figure is 13.5 [tex]in^{2}[/tex].
#teamtrees #PAW (Plant And Water)
In a class there are 20 boys and 15 girls.The ratio of boys to girls is
Answer:
can u explain more and if not i thnk it is 20:15
Step-by-step explanation:
Answer:
number of boys in the class = 20
number of girls in the class = 15
ratio of girls is to boys(Percentage) = 15/20 x 100
= 0.75 x 100 = 75%
Step-by-step explanation:
*WILL GIVE BRAINLIEST*
*Dont mind the "24" I accidently pressed an answer :(*
Find the surface area of the cube.
side length = 2 cm
A: 4 cm2
B: 48 cm2
C: 24 cm2
D: 12 cm2
Find the product of (3x − 4)(2x2 + 2x − 1).
a
6x3 + 2x2 − 5x + 4
b
6x3 + 14x2 − 11x + 4
c
6x3 − 14x2 − 5x + 4
d
6x3 − 2x2 − 11x + 4
Answer:
Answer is D.)
6x3 - 2x2 - 11x + 4
Find the dimensions of the square or circle.
Complete question is;
Find the dimensions or, the square or circle. Area = 64π in²
Answer:
r = 8 inches
Step-by-step explanation:
We know that formula for area of a circle is; A = πr²
Where r is radius.
We are given Area as 64π in²
Thus;
πr² = 64π
π will cancel out to give;
r² = 64
r = √64
r = 8 inches
what is 1.7 divided by 0.428
Please help me
A 3
B 9
C 41
D 1
Answer:
x = 9
Step-by-step explanation:
Opposite sides of a parallelogram are equal.
16x - 15 = 11x + 30 Subtract 11x from both sides
16x - 11x - 15 = 30 Combine the left
5x - 15 = 30 Add 15 to both sides
5x = 30 + 15 Combine the right
5x = 45 Divide by 5
5x/5 = 45/5
x = 9
Which equation has solution x = -3? *
2x - 7 = -1
3x + 8 = 1
1/2x + 8 = 10
1/2(2x - 6) = -6
Please help me
Answer:
1/2(2x-6)= -6
Step-by-step explanation:
Multiply the two sides by the equation 2
2x-6=12
move the constant to the right hand side change sign
2x = -12 + 6
calculate the sum
2x= -6
Divide the 2 sides by 2
x= -3
Cindy throws one red and one blue regular (six-sided) fair dice. Find the probability that the sum of the two dice is greater than 2.
a 1/36
b 35/36
c 33/36
d 1
Answer:
5/36 is your answer.
Step-by-step explanation:
If the red die shows a "2", then the blue die must take on the values from the set {2,3, 4, 5, 6} in order for the sum of both dice to be larger than 4.
1+2=3
2+3 = 5
2+4 = 6
2+5 = 7
2+6 = 8
There are 6*6 = 36 total ways to roll two dice and exactly 5 ways to get the conditions stated above. The probability of getting a sum greater than 2 is 5/36
The probability that the sum of the two dice is greater than 2 will be 35/36. Then the correct option is B.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
Cindy throws one red and one blue regular (six-sided) fair dice. The total number of events will be
Total events = 6 x 6 = 36
The probability that the sum of the two dice is greater than 2 will be given as
P = 1 - 1 / 36
P = 35 / 36
The probability that the sum of the two dice is greater than 2 will be 35/36. Then the correct option is B.
More about the probability link is given below.
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Helpppppp Meeee!!!!!!
Answer:
In 11 teaspoons, there are 53.9 milliliters.
Step-by-step explanation:
Since you know that one teaspoon is equal to 4.9 milliliters, to find the answer, you have to multiply 4.9 times the amount of teaspoons, or 11. Hence, the answer is 53.9.
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Hope it helps!
help please i’ll give points !!
Answer: C :)
Step-by-step explanation:
It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.
The perimeter of a square patio is (8x - 28). What is the length of one side?
Answer:
Length is 7, Permimeter is 28
Step-by-step explanation:
Perimeter=4×side
(8x-28)=4×x [let length be x]
8x-28=4x
8x-4x=28
4x=28
x=28÷4
x=7
Length = x = 7
Perimeter=(8x-28)
=(7×8)-28
=56-28
=28
someone please help me I have 10 minutes to submit it!!
Answer:
x = 5 or x = -5
Step-by-step explanation:
| a b |
| c d |
det = ad - bc
| x 4 |
| 3 x |
det = x * x - 4 * 3 = x^2 - 12
x^2 - 12 = 13
x^2 = 25
x^2 - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or x = -5
Tell how many edges each solid figure has:
Answer:
1. 12
2. 0
3. 9
Step-by-step explanation:
Plz help ASAP!!
Which two rational numbers does v14 lie between?
Answer:
19/8 and 22/7
Step-by-step explanation:
Answer:
[A. 19/6 and 22/7]
Step-by-step explanation: