Answers
Answer:
cos Z = 7/25, ∠Z ≈ 73.74°
Step-by-step explanation:
SOH CAH TOA
↑ adjacent/hypotenuse
cos Z = 7/25
=> Z = cos^-1 (7/25)
=> Z ≈ 73.74°
Related Questions
pls help! one week you spent $24 on 6 metro tickets and 4 bus tickets. the next week you spent $27 on 3 metro tickets and 7 bus tickets. how much would it cost to buy 5 metro tickets and 2 bus tickets?
Answers
Answer:
I will use x for # of subway tickets, and y for # of express bus tickets.
24 = 6x + 4y
27 = 3x + 7y
x = 2
y = 3
16 = 10 + 6
Answer is 16
How many faces does the solid made from the net below have?
Answers
There are 5 triangles and 1 pentagon for a total of 6
The answer is 6
Kyle’s doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the following is the best interpretation of this standardized score? The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean µ = 125 and standard deviation σ = 14. If X = a systolic blood pressure score then X ~ N (125, 14).
a. Which answer(s) is/are correct?
1. Kyle's systolic blood pressure is 175.
2. Kyle's systolic blood pressure is 1.75 times the average blood pressure of men his age.
3. Kyle's systolic blood pressure is 1.75 above the average systolic blood pressure of men his age.
4. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.
b. Calculate Kyle's blood pressure.
Answers
Answer:
a. 4. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.
b. His blood pressure is of 149.5 millimeters
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
a. Which answer(s) is/are correct?
His blood pressure has a zscore of 1.75, which means that it is 1.75 standard deviation above the mean value. So the correct answer is given by option 4.
b. Calculate Kyle's blood pressure.
We have to find X when [tex]Z = 1.75, \mu = 125, \sigma = 14[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.75 = \frac{X - 125}{14}[/tex]
[tex]X - 125 = 1.75*14[/tex]
[tex]X = 149.5[/tex]
His blood pressure is of 149.5 millimeters
Please help!
Find the surface area of a rectangular solid that is 2m by 340cm by 560cm
(100cm = 1m)
Answers
Can a triangle be made using the side lengths of 8, 2, 10?
a
Yes.
b
No, the sum of the shortest sides measures less than the longest side.
c
No, the sum of the shortest sides measure is equal to the longest side.
Answers
Answer:
c
Step-by-step explanation:
I'm not completely sure if this is right, but i hope it is :/
The cost of interest of a $3,000 loan at 12% interest per year is $1003.80.
What is the term length for this loan in years?
Answers
9514 1404 393
Answer:
2.79 years
Step-by-step explanation:
If we assume simple interest, the interest amount is computed from ...
I = Prt
Then the length t is ...
t = I/(Pr)
t = 1003.80/(3000×0.12) ≈ 2.788333...
The term of the loan is about 2.79 years.
- En una tienda, durante las rebajas, encontramos los siguientes carteles: “ De 150 euros a 90 euros” y “De 40 euros a 24 euros”. ¿Tienen los dos artículos el mismo porcentaje de rebaja ?
Answers
Answer:dwadwdwd
Step-by-step sadawdwdwadwdwexplanation:
The area of a rectangle room is given by the equation x^2+x=12, where w is thewidth if the room. What is the width of the room?
Answers
Answer:
w = 3
Step-by-step explanation:
factoring x² + x - 12 you get (x + 4)(x - 3) = 0
x = -4 and x = 3
since you cannot have a negative width, we exclude that value and use the positive value of 3
3. Determine the area under the standard normal curve to the right of z = 0.55.
a.)0.2912
b.)0.7054
c.)0.7088
Answers
What is the absolute value of point J on the number line?
_------_-----_-----_-----_-----_-----_-----_-----_-----_-----_-----_----J
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
A -6
B 0
C 3
D 6
Answers
Answer:
D (6)
Step-by-step explanation:
you must place a number on a number line starting from the smallest (negative number ) to the bigger number (positive number ).
the number that is represented by J is 6
What is the quotient of (x^3 + 8) divided by (x + 2)?
Answers
Answer:
(x^3 +8)/(x+2) = x^2 -2x +4
Step-by-step explanation:
Vhat is the domain of the function y = In {-x+3/2}
Answers
Answer:
(-∞,3/2),{xIx<3/2}
Step-by-step explanation:
Using inverse function concepts, the correct option is:
B. Domain: x < -2 Range: y> 3
What is domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in
here, we have,
we know that,
The domain of a function is the set that contains all possible input values.
The range of a function is the set that contains all possible output values.
In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.
For the original function, the domain is x > 3 and the range is y < -2.
Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.
learn more on domain at :
brainly.com/question/24603090
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Complete question:
The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?
A. Domain: x>3 Range: y2 -2
B. Domain: x2 -2 Range: y> 3
C. Domain: x>-2 Range: y> 3
D. Domain: x2 3 Range: y> -2
Solve for x. Round your answer to the nearest tenth.
Answers
Answer:
i think 120
Step-by-step explanation:
Step-by-step explanation:
by using Pythagoras theorem,
AB^2+BC^2=CA^2
9^2+12^2=x^2
81+144=285
answer=(285)^2=16.88
nearest tenth is 20
A rectangular gate has a diagonal bar running across it.The gate is 80cm high and 2m wide.Work out the length of the bar.Give your answer in surd form..
Answers
Answer:
Step-by-step explanation:
A rectangular gate has a diagonal bar running across it.The gate is 80cm high and 2m wide.Work out the length of the bar.Give your answer in surd form..
A rectangular garden has an area of 144ft. If the base is 8ft long, what is the height ?
A.18
B.36
C.64
D.72
Answers
Formula for area is LxW.
Divide 144 by 8 and you get 18.
What is the constant rate of change shown in the table?
2
4
6
8
Answers
(The y intercept is 20 so subtract 20 from the y and divide by 2 to get your x)
Answer:
2
Step-by-step explanation:
Since with every 10 seconds, the distance increase by 20 meters
hence, 20/10 = 2
Please help immediately !!
Answers
help its due in 1 hour !!!
Answers
Answer:
Hello its 78 I believe good luck!
A random sample of 10 fields of durum wheat has a mean yield of 39.8 bushels per acre and standard deviation of 3.87 bushels per acre. Determine the 90% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
Answer:
Ccritical value = 1.833
someone please help me answer this!!
Answers
Answer:
c = 8.4m is the answer.
Step-by-step explanation:
a = 6m
b = 6m
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
c² = 72
c = 8.4m
∴ The mouse runs 8.4 m from the opposite corners of the room.
Answer:
8.5 m
Step-by-step explanation:
If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72
c = sqrt(72)
c = 6sqrt(2) = 8.5
Answer: 8.5 m
Does anybody have the answer
Answers
Answer:
You're answer is right it is -2,2
Step-by-step explanation:
remember x comes before y
What is one way to name the object pictured below?
A Z Y
B. YZ
c. Y Z
D. ZY
Answers
MARK ME BRAINLIEST PLEASE
The product is 2 2/3 + 4 4/5
Answers
Answer:
[tex]7\frac{7}{15}[/tex]
Step-by-step explanation:
Mark as Brainllest plz
(07.01, 07.02 LC) Factor the greatest common factor: −5k2 + 20k − 30.
−1(5k2 − 20k + 30)
−5(k2 − 4k + 6)
−5k(k2 − 4k + 6)
−5(k2 + 4k − 6)
Answers
Answer:
-5(k2-4k+6)
Step-by-step explanation:
I think is -5(k2-4k+6)
I think that it's 5(k2 − 4k + 6)
Question 4
12.5 pts
Georgia receives a snow globe for her birthday. The globe has a diameter of 4 inches.
Which of the following is the closest to the volume of the snowglobe?
0 18.84
O 10.7
O 16.7
0 33.5
Answers
Answer:
choice 4) 33.5 in³
Step-by-step explanation:
r = 4/2
V = 4/3πr³ = 4/3(3.14)(2³) = 33.5 in²
give three rational Number lying between 1/3 and 1/5
Answers
Elaine cannot spend more than $90 each
month for her cell phone and text
messaging service. Her plan states that she
has to pay a set fee of $45 for phone
service and $0.05 per text message she
sends. Which inequality represents the
relationship between the number of text
messages she can send each month, t, and
the total amount she can spend for the cell
phone and text messaging service?
Answers
Answer:
b = 90 >- 45 + 0.05t
Step-by-step explanation:
She can't spend more than 90 and this the only equation that makes sense.
https://brainly.com/question/23008046
PLS ANSWER THIS QUESTION PLEASE
Answers
Answer:
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]
Step-by-step explanation:
Given
[tex]y=6; z=3[/tex]
Evaluate
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z[/tex]
Substitute [tex]y=6; z=3[/tex] in the expression.
So, we have:
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3}{2}*6 - 3 + \frac{5}{3} * 3[/tex]
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3*6}{2} - 3 + \frac{5* 3}{3}[/tex]
Evaluate the fractions
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = 3*3 - 3 + 5[/tex]
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]
Each day for the next 4 days, there is a 20% chance of a thunderstorm. Use the simulation shown, where the digits 1 and 2 represent days with a thunderstorm, to estimate the probability of a thunderstorm on at least 2 of the next 4 days. Round your answer to the nearest tenth of a percent if necessary.
Answers
Answer:
It’s 6/1
Step-by-step explanation:
The estimated probability of a thunderstorm on at least 2 of the next 4 days is 6/16, or 0.375, or 37.5% (rounded to the nearest tenth of a percent).
What is probability?Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain to occur.
To estimate the probability of a thunderstorm on at least 2 of the next 4 days, we can use the simulation as follows:
The outcomes with at least 2 thunderstorms are: 112, 121, 122, 211, 212, and 221.Out of the 16 possible outcomes (each day can either have a thunderstorm or not), the number of outcomes with at least 2 thunderstorms is 6.Therefore, the estimated probability of a thunderstorm on at least 2 of the next 4 days is 6/16, or 0.375, or 37.5% (rounded to the nearest tenth of a percent).Thus, this is only an estimate based on the given probability of a thunderstorm each day, and the actual probability may be different.
For more details regarding probability, visit:
https://brainly.com/question/30034780
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PLEASE HELP ASAP THIS IS A MAJOR TEST FOR ME! Below is the number of innings pitched by each of the Greenbury Goblins' six starting pitchers during the Chin Tournament. Find the median number of innings pitched.
Answers
Answer:
The answer is 4 simplified or 8/2 not simplified