Answer:
x = 15Step-by-step explanation:
3x - 13 + 58 = 90. [Complementary Angles]
=> 3x + 45 = 90
=> 3x = 90 - 45
=> 3x = 45
[tex] = > x = \frac{45}{3} [/tex]
=> x = 15 (Ans)
Answer:
X=15
Step-by-step explanation:
The Square means the 2 angles = 90 degrees so we do this
90 - 58 = 32
so now we KNOW the second angle has to be 32.
so
3x-13=32
now we solve
3x-13=32
+13 +13
3x=45
/3 /3
x=15
Hope I helped :D
***** Help asap! *****
HELP NEEDED PLSS
Given the following diagram, find the trigonometric ratios.
Leave answers as reduced fractions (improper fractions are fine).
B
sinA=
COSA =
Answer:
Sin A = 3/5
Cos A = 4/5
Step-by-step explanation:
To find trigonometric ratio, recall SOHCAHTOA.
Thus:
Reference angle = <A
Opposite side to <A = 6
Adjacent side = 8
Hypotenuse = AB = √(8² + 6²) = 10 (pythagorean theorem)
Therefore,
✔️Sin A = Opp/Hyp
Sin A = 6/10 = 3/5
✔️Cos A = Adj/Hyp
Cos A = 8/10 = 4/5
Find the values of m and n.
Answer:
The m is equal to 44 and n is 39 .
hope it helps you
Each of three friends flips a coin 36 times.Angel records ”tails” 20 times,Santi records “tails” 17 times.Kataleya records “tails” 23 times. Find the relative frequency with which each friend records “tails” Which friend has a relative frequency that is closest to the theoretical probability of flipping “tails” 36 times?Explain.
Answer:
The one with 17
Step-by-step explanation:
Heads/tails=1/2 or 50%
20/36=56%
17/36=47%
20/36=64%
47% is closer to 50%
Select the point that is a solution to the system of inequalities.
A- (2,6)
B- (0,8)
C-(-2,-4)
D-(4,2)
HELP PLEASE!!!!!
Answer:
its A
Step-by-step explanation:
10 POINTS FOR THE RIGHT ANSWERS PLEASE HELP MEEE
Pls help extra points
Answer:
B
the middle one
Step-by-step explanation:
If you help me and explain how you got your answer you will get brainlisyt
Answer:
36.72
Step-by-step explanation:
Take 60% of 61.20. That is the markup.
60% * 61.20 = 60/100 * 61.2 = 3672/100 = 36.72
The markup is 36.72
Please help me on 5 I don’t get it LOL 11 point pleaseeee
Answer:
Hello there! the answer would be H, 1/36
Step-by-step explanation:
I hope you have a great day!
Find the volume in cubic inches
H-12 in.
L-8 in.
W-5in.
Answer:
480[tex]in^3[/tex]
Step-by-step explanation:
Volume of a Rectangular Prism = L x W x H
12 x 8 x 5 = 96 x 5 = 480
480 in^3
A sociologist will conduct a two-sample tt-test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelorâs degrees and people with masterâs degrees. From a random sample of 32 people with a bachelorâs degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a masterâs degree, the average salary was $58,000 with a standard deviation of $4,000. With a null hypothesis of no difference in the means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means (masterâs degree minus bachelorâs degree)?
Answer:
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
3) D.f= n1+n2-2= 32+28-2= 58
Step-by-step explanation:
The null hypothesis is that there is no difference in population means (masterâs degree minus bachelorâs degree)
The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
Putting the values
Sp= 12,250,000( 31) + 16,000,000(27)/ 31+27
Sp= 379,750,000- 432,000,000/58
Sp= -52,250,000/58
Sp= -900,862.1
Now Putting the values in the t- test
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)
t= -3000/ -233,120.21
t= 0.012868
3) D.f= n1+n2-2= 32+28-2= 58
for 2 tailed test the critical value of t is obtained by
t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017
4) Since the calculated value of t= 0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.
What are the slope and y-intercept of the line?
Answer:
i justr f arted really loud LOL
Step-by-step explanation:
Answer:
the choice below, with slope= app. 1.33!
Step-by-step explanation:
How do I find the range of this rational function, how do I do the steps in order to find it, please help!!!
Answer:
Range= (0,∞) and (-∞,0)
Step-by-step explanation:
Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0
Answer:
(-infinity, -32/81] U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
Step-by-step explanation:
The range is all possible y values in a function.
We can find the inverse of the function to find the range.
[tex]y = \frac{8}{ {x}^{2} - 7x - 8 } [/tex]
Replace x with y
[tex]x = \frac{8}{ {y}^{2} - 7y - 8 } [/tex]
Write the LCD as two binomial,
[tex]x = \frac{8}{(y + 1)(y - 8)} [/tex]
Multiply both sides by both binomial
[tex]x(y + 1)(y - 8) = 8[/tex]
[tex](xy + x)(y - 8) = 8[/tex]
[tex]x {y}^{2} - 8yx + xy - 8x = 8[/tex]
[tex]xy {}^{2} - 8yx + xy = 8 + 8x[/tex]
[tex]y( {x}^{2} - 8x + x) = 8 + 8x[/tex]
[tex] \frac{8 + 8x}{ {x}^{2} - 7x } [/tex]
[tex] {x}^{2} - 7x = 0[/tex]
[tex] {x}^{2} - 7x + 12.25 = 12.25[/tex]
[tex](x - 3.5) {}^{2} = 12.25[/tex]
[tex](x - 3.5) = 3.5[/tex]
[tex]x = 3.5[/tex]
Plug that in to the function to find it range.
We get approximately
[tex] - \frac{35}{81} [/tex]
So this means a point on our function must include -35/81.
The vertical asymptote is 0 so our y cannot be zero but it goes infinitely up so our range is
(-infinity, -32/81]U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
X^2/3 •5x =5x^5/3
Can someone explain how the exponent is 5/3?
Find the equation of the line.
Use exact numbers.
y=[ ]x+[ ]
Answer:
y = -3x + 7
Step-by-step explanation:
Points on the graph: (0, 7) and (3, -2)
Slope:
m=(y2-y1)/(x2-x1)
m=(-2-7)/(3-0)
m=(-9)/3
m = -3
Slope-intercept:
y - y1 = m(x - x1)
y - 7 = -3(x - 0)
y - 7 = -3x
y = -3x + 7
A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on the top face was recorded. The table shows the results. Results Number Showing on Top Face Frequency 1 0 2 3 3 3 4 6 5 3 6 5 Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face? 2 5 A 3 20 B 1 3 C 3 5 D
Answer:
4/5
Step-by-step explanation:
3+5=8
so it's 8/20
and the simplest form of 8/20 is 4/5
» How many thirds are in a whole slice of toast?
Answer:
There's going to be 3 thirds in one whole sandwich. Hope this helps
Step-by-step explanation:
Create 4 one-step equations
that have the same solution,
Equations:
1 addition
1subtraction
1 multiplication
1 division
- A backpack at the store costs $24.94. A pack of markers at the same store costs $3.82. You pay for both the backpack and pack of markers with a $50 bill. How much change do you receive?
Answer:
21.24
Step-by-step explanation:
24.94+3.82=28.76
50-28.76=21.24
Below is the graph of f(x) = 3 log10 m. How would you describe the graph of
g(x)= 9 log10 x?
3+
2
1
-3
-2
-1
2
3
4
5
-
-2-
-3
O A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
D. g(x) stretches f(x) vertically by a factor of 3
Answer: C
Step-by-step explanation:
What would be my first step? 3 + 4 x 6 - 4 =
WILL GIVE BRANLIEST!!!!
Answer:
The first step would be to multiply 4 by 6
Step-by-step explanation:
4*6 = 24
24 + 3 = 27
27 - 4 = 23
Are all isosceles triangles similar? Are all right triangle similar? Are all isosceles right triangles similar? Explain.
Please don't answer with one answer, blank or a ridiculous response. This is serious please.
And don't send links that are viruses
Please explain each one.
9514 1404 393
Answer:
a) no
b) no
c) yes
Step-by-step explanation:
a) Isosceles triangles can have a third angle (the one that is not part of the pair of equal angles) with any value in the range 0 < α < 180°. Triangles with different angle values will not be similar.
Not all isosceles triangles are similar.
__
b) The smallest acute angle of a right triangle can have any measure in the range 0 < α ≤ 45°. Right triangles having different smallest angles will not be similar. The attachment shows dissimilar right triangles.
Not all right triangles are similar.
__
c) If the smallest acute angle of a right triangle is 45°, then both acute angles are 45°, and the right triangle is an isosceles triangle. Each such triangle will be similar to every such triangle.
All isosceles right triangles are similar.
ASAP pls it’s due tomorrow
Answer:
D I think, that's the only one that makes since.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Opposite sides of a rectangle are equal and Parallel
Find the solution(s), if any, of the given equation using quadratic formula:
6x2 – 30x = 36
Answer:
x = 6 and x = -1.
Step-by-step explanation:
The given equation is :
[tex]6x^2-30x=36\\\\6x^2-30x-36=0\\\\or\\\\x^2-5x-6=0[/tex]
We can solve it using the middle term splitting method.
[tex]x^2-(6x-x)-6=0\\\\x^2-6x+x-6=0\\\\x(x-6)+1(x-6)=0\\\\(x-6)=0\ and\ (x+1)=0\\\\x=6\ and\ x=-1[/tex]
So, the solutions are x = 6 and x = -1.
Rearrange the following times of the day from earliest to latest. 10:30am 04:25 10:45pm 22:15 4:15pm 16:05 4:30 am
Answer:
04:25 is the earliest because it is 4:25 am using 24 hour clock then, 4:30 am, 10:30a.m, 16:05 because 16:05 is the same as 4:05 pm , 4:15 pm, then 22:15 because in 24 hour clock is means 10:15 pm and the latest is 10:45pm
to solve.
What are the solutions of the equation x4 + 95x2 - 500 = 0? Use factoring
Answer:
As a student, what are your insights about this lesson? Write an essay on your
toughts about the types of drugs/subtance of abuse, discussing its description and
effects
50 points and brainliest!
a and b are positive integers and a-b=2. Evaluate the following: 27^1/3^b/9^1/2^a
(a picture will be provided as well)
Answer:
Step-by-step explanation:
[tex]\frac{27^{1/3b}}{9^{1/2a}}[/tex]
We know that 27^(2/3) = 9. So:
= [tex]\frac{27^{1/3b}}{27^{1/3a}}[/tex]
note: 9^(1/2a) = 9^((2/3)(1/2)(a)) = 27^(1/3a)
[tex]= 27^{1/3b-1/3a}=27^{1/3(b-a)} = 27^{1/3(2))} = 9[/tex]
9 is the answer
Answer:
1/9Step-by-step explanation:
a - b = 2
[tex]27^{1/3b} / 9^{1/2a}[/tex] =[tex](3^3)^{1/3b} / (3^2)^{1/2a}[/tex] =[tex]3^{b} / 3^a[/tex] =[tex]3^{b - a}[/tex] =[tex]3^{-2}[/tex] = 1/9A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
Answer:
29.71
Step-by-step explanation:
Continuous Compounding Formula = P x e^(r x t)
= 181.25 x e^(0.29710000000000003 x 7) = 1450.37
what is the missing number?
Answer:
y = 1x + 2
Step-by-step explanation:
y = 3, x = 1
=> 3 = 1 x 1 + ?
=> 3 = 1 + ?
=> ? = 2
Try again:
y = 4, x = 2
=> 4 = 1 x 2 + ?
=> 4 = 2 + ?
=> ? = 2 (correct)
- So, the equation will be: y = 1x + 2
The central limit theorem
A. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the Student t distribution.
B. postulates that the sample mean is a consistent estimator of the population mean.
C. only holds in the presence of the law of large numbers.
D. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the standard normal distribution.
Answer:
Option D (States.......distribution) is the appropriate choice.
Step-by-step explanation:
The superposition principle says that perhaps the sample distribution better reflects the regular distribution.
Because this sample size or group grows, all observations appear identical although irrespective of that same population demographics or distributions.It shows everybody precisely how the measures are to be distributed if we take a friendly reminder from some kind of population group.The latter choices should not affect the situation involved. The reaction, then, is the right one.