Consider this right triangle.
o
13
M
N
12
Select the ratio equivalent to tan(O).
Answer:
5/13
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Add the two expressions.
7.4w−5 and −3.7w+3
Enter your answer, in simplified form, in the box.
EXPLAIN HOW TO DO IT.
Answer:
3.7w - 2
Step-by-step explanation:
7.4w − 5 −3.7w + 3 Combine like-terms
7.4w - 3.7w + 3 - 5
3.7w - 2
Answer:
3.7w-2
Step-by-step explanation:
7.4w-5+-3.7w+3
(combine like terms)
7.4w-3.7w=
7.4-3=
4.4-.7= 3.7w
-5+3=-2
3.7w-2
I hope this helps..
In the United States Constitution, the principle of popular sovereignty holds that in diridod hoturn the national and state governments .
Answer:
your answer should be J
Step-by-step explanation:
as popular sovereignty is defined as the majority of a group however large agreeing on a common answer or cause
so accordingly your answer should be J as the election process relies almost solely on popular sovereignty
I hope this helped!
Evaluate 7!4!/3!6! Simplyfy your answer
Answer:
28
Step-by-step explanation:
Steps 1 : for the top numerator 7!4! =
7! = 7×6×5×4×3×2×1
4!=4×3×2×1
step 2 : for the bottom denominator 3!6!
3!= 3×2×1
6!=6×5×4×3×2×1
step 3 : is to cancel out all number that looks like on numerator over denominator
it will leave you with 7 × 4 only on the numerator = 28
because all the number in the denominator will cancel out with some on the numerator .
I hope it helps
The simplified solution of the factorial expression (7!4!)/(3!6!) is 14/3.
The given expression is
(7!4!)/(3!6!)
We can simplify it using properties of factorials.
First, let's expand each factorial:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
4! = 4 x 3 x 2 x 1
3! = 3 x 2 x 1
6! = 6 x 5 x 4 x 3 x 2 x 1
Now, we can substitute these factorials into the original expression:
(7!4!)/(3!6!) = (7 x 6 x 5 x 4 x 3 x 2 x 1 x 4 x 3 x 2 x 1) / (3 x 2 x 1 x 6 x 5 x 4 x 3 x 2 x 1)
Next, we can cancel out common factors from the numerator and denominator:
(7 x 4)/(3 x 2 x 1) = 28/6
Simplifying:
28/6 = 14/3
Therefore, the simplified solution to (7!4!)/(3!6!) is 14/3.
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Find the capacity of the tanks with the following internal dimensions. Express the capacity in cubic meters and liters for each tank.
Step-by-step explanation:
i) Capacity(Volume) = length x breadth x depth
= 3.2 x 2.9 x 1.5
= 13.92 m³
In litres, 13.92 x 1000 = 139,20 litres
ii) Capacity(Volume) = length x breadth x depth
= 2.5 x 1.6 x 1.3
= 5.2 m³
In litres, 5.2 x 1000 = 5200 litres
iii) Capacity(Volume) = length x breadth x depth
= 7.3 x 3.6 x 1.4
= 36.792 m³
In litres, 36.792 x 1000 = 36,792 litres
Solve for x. Enter the solutions from least to greatest. (x + 3)^2 - 4 = 0
The solutions of x in the equation are -5 and -1
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the solution of x?The equation is given as
(x + 3)^2 - 4 = 0
Add 4 to both sides of the equation
So, we have
(x + 3)^2 = 4
Take the square root of both sides
x + 3 = ±2
Subtract 3 from both sides
x = - 3 ± 2
Evaluate
x = (-3 - 2, -3 + 2)
This gives
x = (-5, -1)
Hence, the solutions of x in the equation are -5 and -1
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I need help with this
Answer:
i need help with this so you can ready
Find f(-3) when f(x) = -x + 1
Answer:
4
Step-by-step explanation:
so when it says f(x)=-x+1
the x values are constant so what value is in f(x) the value of x goes right into -x+1
f(-3)=-x+1
f(-3)=-(-3)+1
f(-3)=4
Answer:
yea the anwser is 4
(>﹏<)
determine the value of X, and the measure of angle E
Answer:
y = 55
x = 6
∠E = 70
Step-by-step explanation:
Hello There!
Segment DE and segment EF are congruent meaning that there opposite angles are congruent
So angle D and angle F are congruent
Because ∠D = 55 ∠F also equals 55
now we can solve for x
Remember all of the angles in a triangle add up to equal 180 so we use this equation to solve for x
180=55+55+11x+4
step 1 combine like terms
55+55+4=114
now we have
180=11x+114
step 2 subtract 114 from each side
180-114=66
now we have
66=11x
step 3 divide each side by 11
66/11=6
11x/11=x
we´re left with
x=6
Now we can plug in 6 to x to find the measure of angle E
6x11=66
66+4=70 so angle E = 70
About 40% of athletes at a gym use a professional trainer. The proportion of successes is when p = 0.4. You choose a random sample of 50 athletes at the gym.
Answer: 0.089
Step-by-step explanation:
Math
5. What type of quadrilateral is DEFG?
A square
B rhombus
trapezoid
D parallelogram
Answer:
parallelogram
options D
I took the test and got it right.
A market research company employs a large number of typists to enter data into a computer. The time taken for new typists to learn the computer system is known to have a normal distribution with a mean of 90 minutes and a standard deviation of 18 minutes. The proportion of new typists that take at most two hours to learn the computer system is
Answer:
The proportion of new typists that take at most two hours to learn the computer system is 0.9525 = 95.25%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Normal distribution with a mean of 90 minutes and a standard deviation of 18 minutes.
This means that [tex]\mu = 90, \sigma = 18[/tex]
The proportion of new typists that take at most two hours to learn the computer system is
This is the pvalue of Z when X = 120 minutes = 2 hours. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 90}{18}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525.
The proportion of new typists that take at most two hours to learn the computer system is 0.9525 = 95.25%.
With a capacity of 6,300 people, Royal Caribbean’s Oasis of the Seas is the world’s largest cruise ship. The average beer consumption over 35 randomly selected seven-day cruises on the ship was 81,740 bottles. From historical data you know that the population standard deviation of beer consumption is 4,590 bottles. Royal Caribbean would like to estimate the average beer consumption to plan its beer inventory levels on future cruises. (The ship certainly doesn’t want to run out of beer in the middle of the ocean!)
A. Construct a 95% confidence interval to estimate the average beer consumption per cruise.
B. Verify this interval using excel.
C. What assumptions need to be made about this population?
Step-by-step explanation:
Mean = 81740
Standard deviation = 4590
Sample size = 15
Alpha level = 1-0.95 = 0.05
Df = 15-1 = 14
Critical value:
alpha/2 = 0.05/2 = 0.05
t0.025
t critical value = 2.145
Margin of error ME
2.145 x 4590/√15
2.145 x 4590/3.873
ME = 2542.09
Confidence interval
Lower CI = mean - ME
= 81740-2542.09
= 79197.91
Upper CI = mean + ME
= 81740+2542.09
= 84282.09
[ 79197.91, 84282.09]
B.
Using excel, exact answer for CI
Lower limit = 79198.142724212173
Upper limit = 84281.8572757827
C.
The assumptions to be made from the population are that
1. Samples are random
2. These samples are gotten from an approximately normal distribution
ill mark brainlist plss help
Answer:
25 in²
Step-by-step explanation:
formula for area of a triangle:
1/2(bxh)
1/2(5x10)
1/2(50)
25
Answer:
D. [tex]25^{2}[/tex]
Step-by-step explanation:
What is the area surface of the pyramid please do not do any files or links just say the answer and do not guess
Answer:
448
Step-by-step explanation:
Rita has a sister named Gabriela who is 4 years older than she is. The product of their ages is 21. Write an equation to find their ages.
Step-by-step explanation:
let Rita = R
Let Gabriela = G
so we have
G ×R = 21
G= R + 4
(R+4)(R) = 21
R^2+4R -21=0
At a Dance Team fundraiser, there is a pie toss going on and Claudia is
tossing pies at her coach.
The path of a pie models a quadratic, and the height is shown in this table.
What is the maximum height of the pie?
Can someone help me :(
Answer:
x = 20
Step-by-step explanation:
19 < x < 25
x had to be higher than 19 but lower than 25
18 cant be the answer because it is less than 19
27 cant be the answer because it is higher than 25
that leaves 20, which is the right answer
19 < 20 < 25
Given you select a female, what probability will they prefer playing NBA2K20? Round your answer to the nearest thousandth. __________A. 0.609 B. 0.463 C. 0.185 D.0.398
Answer:
B
Step-by-step explanation:
just divide 152 by 328 and youll get 0.463
Carl has 50 apps on his phone. Of these apps, 12 are music apps. What percent of Carl’s apps are music apps?
AANNSSWWEER
AASSAAPP
Answer:
12 50 I don't know
Step-by-step explanation:
I WILL GIVE BRAINERLEST ABD LIKE AND 5 STARS IF YOU ANSWER
How many people n would be seated in
each section if there were 27 total
people in the gym?
Answer:
IT SAYS IT 27 PEOPLE WOULD BE SEATED
Step-by-step explanation:
If Matrix A is 3 x 4, and Matrix B is 4 x 2, what is the size of matrix BA? If BA is undefined, please state so.
Answer:
Joe Mok
Step-by-step explanation:
Joe MAMA
The rate of change of the number of students at a high school in Naples is the same from 2005 to 2013 as it is from 2013 to 2021. Is function f constant, linear, quadratic, or exponential?
A. Linear
B. Quadratic
C. Exponential
Answer:
Step-by-step explanation:
Linear
Shirley's water bottle is half full. She pours it into another bottle that is
one-third full, and it fills that bottle. If the second bottle holds 2 quarts,
how much did the first bottle hold? *
pls be right, im on rush time guys
Answer:
Step-by-step explanation:
She poured ⅔×2 = 4/3 qt into the second bottle.
Her bottle holds 2×4/3 = 8/3 qt
Probability is the likelihood of an event happening and is expressed as a number between ____ and ____.
-1 and 2
-1 and 100
-0 and 1
-0 and 100
Answer:
0 and 1
Step-by-step explanation:
"The probability ot an event lies between 0 and 1"
WILL MARK BRAINLEST AND THANKS Area: 28.67 sq m and the side is 4.7 m The missing side length is equal to:??? m
Answer:
The area of this is 28.67 meters squared
Step-by-step explanation:
You must use division in order to complete the question
Find the value of x in the picture below.
Answer:
I think that the answer is 2.5 , the second item .
HELP!!!
Determine whether the sequence converges or diverges. If it converges, give the limit.
36, - 6, 1, - , ...
a. Converges;
b. Converges;
c. Converges; 6660
d. Diverges
Answer:
c
Step-by-step explanation:
i just took a test on it
The sequence converges to 0.
What is geometric sequence?"It is a type of sequence where the ratio of every two consecutive terms is a constant."
Formula to find the nth term of geometric sequence:"[tex]a_n=a_1\times r^{n-1}[/tex]
where [tex]a_1[/tex] is the first term, and r is the common ratio."
What is the convergent sequence?"If [tex]\lim_{n \to \infty} a_n[/tex] exists and is finite we say that the sequence is convergent.
where [tex]a_n[/tex] is the n-th term of the sequence."
What is the divergent sequence?" If [tex]\lim_{n \to \infty} a_n[/tex]doesn't exist or is infinite we say the sequence diverges.
where [tex]a_n[/tex] is the n-th term of the sequence."
For given question,
We have been given a sequence.
36, - 6, 1, - , . . .
The first term of the sequence is [tex]a_1=36[/tex]
[tex]\frac{-6}{36}=-\frac{1}{6}\\\\ \frac{1}{-6}=-\frac{1}{6}[/tex]
The ratio of every two consecutive terms is a constant.
⇒ [tex]r=-\frac{1}{6}[/tex]
So, the n-th term of given geometric sequence would be,
[tex]a_n=36\times (-\frac{1}{6})^{n-1}[/tex]
Now we determine whether the sequence is convergent or divergent.
[tex]\lim_{n \to \infty} a_n \\\\= \lim_{n \to \infty}36\times (-\frac{1}{6} )^{n-1}\\\\=36\times \lim_{n \to \infty} (-\frac{1}{6} )^{n-1}\\\\=36\times 0\\\\=0[/tex]
Since [tex]\lim_{n \to \infty} a_n[/tex] exists and is finite we say that the sequence is convergent.
Therefore, the sequence converges to 0.
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The concentration of hexane (a common solvent) was measured in units of micrograms per liter for a simple random sample of sixteen specimens of untreated ground water taken near a municipal landfill. The sample mean was 228.0 with a sample standard deviation of 4.3. Twenty specimens of treated ground water had an average hexane concentration of 224.6 with a standard deviation of 5.0. It is reasonable to assume that both samples come from populations that are approximately normal.
Can you conclude that the mean hexane concentration is less in treated water than in untreated water? Use the ? = 0.10 level of significance.
No
Yes
Answer:
Yes, it can be concluded that the mean hexane concentration is less in treated water than in unsaturated water
Step-by-step explanation:
The number of of specimen in the samples of untreated water, n₁ = 16
The sample mean, [tex]\overline x_1[/tex] = 228.0
The sample standard deviation, s₁ = 4.3
The number of of specimen in the samples of treated water, n₂ = 20
The sample mean, [tex]\overline x_2[/tex] = 224.6
The sample standard deviation, s₂ = 5.0
The level of significance = 0.10
The null hypothesis, H₀; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] < [tex]\overline x_2[/tex]
The degrees of freedom = 16 - 1 = 15
The test statistic, [tex]t_{\alpha}[/tex] = 1.341
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Plugging in the values, we get;
[tex]t=\dfrac{(224.6- 228.0)}{\sqrt{\dfrac{5.0^{2}}{20} -\dfrac{4.3^{2} }{16}}} \approx -11.0675[/tex]
Given that the t-value is large, the corresponding p-value is low, therefore, we fail to reject the null hypothesis and there is considerable statistical evidence to suggest that the mean hexane concentration is less in treated than in untreated water, therefore, we have; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]
A bag has 4 red marbles, 5 blue marbles, and 6 green marbles. What is the probability if choosing a red marble from the bag, not putting it back, and then choosing a green marble?
4/15
6/14
12/105
24/225
Step-by-step explanation:
hope u get it...
mark brainlist!!!