Answer:
False
Step-by-step explanation:
The left side 0.06 does not equal to the right side 0, which means that the given statement is false.
ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6.
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted? Enter your answer, rounded to the nearest hundredth.
Answer:
You need a z-score of at least 1.09 to get accepted.
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this question, we have that:
[tex]\mu = 20.9, \sigma = 5.6[/tex]
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted?
We need to find Z when X = 27. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 20.9}{5.6}[/tex]
[tex]Z = 1.09[/tex]
You need a z-score of at least 1.09 to get accepted.
2.25x = 1.5x + 6
What is the value of x
Answer:
x=8
Step-by-step explanation:
2.25x=1.5x+6
-1.5x -1.5x
0.75x=6
3/4x=6
x=6*4/3
x=24/3
x=8
Answer:
8
Step-by-step explanation:
Look at the attachment
Pedro has determined that the probability his shot will score in a lacrosse game is 0.30. What is the probability that he will score on two consecutive shots? 0.09 0.15 0.30 0.60 Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets? 1 2 3 4
Answer:
a) 0.09
b) 2 ways
Step-by-step explanation:
a) Probability Pedro's shot will score will be given as) :
P(score) = 0.30
The probability he will score in 2 consecutive shots will be calculated as:
P(score) * P(score)
= 0.30 * 0.30
= 0.09
Therefore, probability he will score in 2 consecutive shots is 0.09
b) Jillian has 3 bracelets: X, Y, & Z as a gift. If bracelet Y is chosen first, the number of ways Jillian can give out the bracelets since bracelet Y is chosen first, she will have 2 bracelets remaining. So, number of ways to distribute these 2 bracelets are :
= 2!
= 2 * 1
= 2
Which could be in this order:
YXZ or YZX
Therefore, the number of ways if Y is chosen first is = 2 ways
Answer: A. 0.09
Just took test.
Solve the following system of equations.Express your answer as an ordered pair in the format (a,b),with no spaces between the number or symbols 3x+4y=16 -4x-3y=-19
Answer:
(4,1)
Step-by-step explanation:
3x + 4y = 16
-4x - 3y = -19
4( 3x + 4y = 16)
3( -4x - 3y = -19)
Distribute
12x + 16y = 64
-12x - 9y = -57
Now subtract both equations
7y = 7
/7 on both sides
y = 1
Substitute y = 1 in one of the equations.
3x + 4y = 16
3x + 4(1) = 16
-4 on both sides
3x = 12
/3 on both sides
x = 4
Answer:
x = 4
y = 1
In a school, 25 % of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in the
school?
Answer:
200 teachers
Step-by-step explanation:
Let t= teachers
t * 25% = basic math teachers
t *.25 = 50
Divide each side by .25
.25t/.25 = 50/.25
t =200
Answer:
200
Step-by-step explanation:
The 50 basic math teachers are 25% of all the teachers of the school.
You can use a proportion.
50 is to 25% as x is to 100%
50/25 = x/100
10/5 = x/100
5x = 100 * 10
5x = 1000
x = 200
There are 200 teachers.
Write the equation of the line that passes through the point (-4,-9) and has a slope 1/2
Answer:
y=1/2x-7
Step-by-step explanation:
-9=1/2(-4)+b
-9=-2+b
b=-7
y=1/2x-7
What is it that when you take away the whole, you still have some left over?
Answer:
wholesome!!! brainliest pls :)
Answer:
wholesome
Step-by-step explanation:
you take away the first word which is whole
and u still have the word some left over
hope this helped if this isnt what ur looking for plz tell me
A submarine travels 19 miles in 1/2 hour. Write an equation to find out how long it would take the submarine to travel 57 miles at the same rate. Then find the time.
Answer:
1.5 hours
Step-by-step explanation:
We can write a ratio to solve
19 miles 57 miles
-------------- = --------------
.5 hours x hours
Using cross products
19x = 57*.5
19x =28.5
Divide each side by 19
19x/19 = 28.5/19
x =1.5
1.5 hours
I put the wrong answer don’t mind me
okay who can tell me pi divided by 5.6 squared times 2
Answer:
0.20035667433
Step-by-step explanation:
Answer:
0.20035667433 , is the answer.
Step-by-step explanation:
Honestly whenever it comes to pi in maths , you can usually always use a calculator so on a calculator write in 'pi (5.6) *squared* x 2'
Please Help it’s urgent
Answer:
<LKH and <JKM
Step-by-step explanation:
<LKH and <JKM are vertical angles because they are vertically opposite.
Get brainiest !! Easyyy question
Answer:
Step-by-step explanation:
hmmm
Answer:
Height of cone is 5m
Step-by-step explanation:
I etavidewifdwcvefoewf
I’m not sure what that meant.
Answer:
cool
Step-by-step explanation:
AB
Round your answer to the nearest hundredth.
B
5
?
40°
Answer:
y
Step-by-step explanation:
y\
Answer: 6.53 on khan academy
Step-by-step explanation:
Question 11 point(s) Jared made Ask Your Teacher cups of snack mix for a party. His guests ate Ask Your Teacher of the mix. How much snack mix did his guests eat?
Answer:
[tex]8\frac{1}{2}[/tex] cups
Step-by-step explanation:
To determine the quantity of snack mix Jared guest ate, we multiply the quantity of snack mix the guest ate by the quantity of snack mix Jared made. i.e we determine [tex]\frac{2}{3}of12\frac{3}{4}[/tex] by multiplying both fractions together
quantity of snack mix Jared guest ate = [tex]\frac{2}{3}of12\frac{3}{4}=\frac{2}{3}*12\frac{3}{4}=\frac{2}{3}*\frac{51}{4}=\frac{17}{2} =8\frac{1}{2}[/tex]
Find the value of the pronumeral.
Answer:
x = 9.2
Step-by-step explanation:
The scale factor is 2 from the triangle on the left to the triangle on the right
2*2 = 4
Multiply the scale factor times the number on the left to get the unknown on the right
2*4.6 =9.2
what is the slope of the line from the table below hour: 1, 2, 4, 8 distance: 50, 100, 200, 400
Answer:
50
Step-by-step explanation:
The slope is change in y divided by the change in x
Change in distance / change in hour
m = (400-200)/(8-4)
= 200/4
= 50
Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both stations spot a fire. The bearing of the fire from station A is Upper N 35 degrees E and the bearing of the fire from station B is N 30 degrees W. How far, to the nearest tenth of a mile, is the fire from each lookout station?
The fire is a distance of 9.33 miles from Station A and 4.67 miles from Station B.
Let's denote the distance of the fire from station A as "x" and the distance of the fire from station B as "y".
From station A, the bearing of the fire is N 35° E. This means that if we draw a line connecting station A and the fire, the angle between this line and the north direction is 35°.
Similarly, from station B, the bearing of the fire is N 30° W. This means that the angle between the line connecting station B and the fire and the north direction is 30°.
Now, let's construct a triangle with vertices at Station A, station B, and the fire. The line connecting station A and station B represents the base of the triangle, and the lines connecting station A and the fire and station B and the fire represent the two sides of the triangle.
Since the triangle is isosceles (both sides are equal), the angles opposite the two sides will also be equal.
Let's denote the angle opposite side x as α and the angle opposite side y as β.
From the given bearings, we can determine the values of α and β:
α = 180° - 35° = 145°
β = 180° - 30° = 150°
Now, using the Law of Sines, we can set up the following ratios:
sin(α) / x = sin(β) / y
Solving for y, we get:
y = (sin(β) / sin(α)) * x
Substituting the known values, we have:
y = (sin(150°) / sin(145°)) * x
Using a calculator, we can evaluate the sin(150°) and sin(145°) to get:
y = (0.5 / 0.996) * x
y = 0.501 * x
Since the two stations are 14 miles apart, we know that x + y = 14.
Substituting the value of y from the previous equation, we have:
x + 0.501 * x = 14
1.501 * x = 14
x = 14 / 1.501
x ≈ 9.33
Now, to find the value of y, we can substitute the value of x into the equation:
y = 0.501 * x
y = 0.501 * 9.33
y ≈ 4.67
Therefore, the fire is 9.33 miles from Station A and 4.67 miles from Station B.
Learn more about the distance here:
brainly.com/question/13269893
#SPJ4
The fire is approximately 38.7 miles away from station A and 38.4 miles away from station B.
To solve this problem, we can use trigonometry and create a diagram to visualize the situation.
Now, let's label the diagram. We'll use the following labels:
A: Fire-lookout station A
B: Fire-lookout station B
F: Fire's location
Next, we need to determine the angles and distances involved. From the problem statement, we know the bearing of the fire from station A is N 35° E, and the bearing of the fire from station B is N 30° W. Let's mark these angles on the diagram.
To find the distance of the fire from each station, we can consider the angles formed between the stations and the fire. The sum of these angles should be 180° since we have a straight line. Let's find the missing angles by subtracting the given angles from 180°.
For station A:
Angle A = 180° - 35° = 145°
For station B:
Angle B = 180° - 30° = 150°
Now, let's draw lines from each station to the fire, and label the distances as dA and dB.
We can use trigonometry (specifically, the tangent function) to find the distances dA and dB. Tangent of an angle is equal to the opposite side divided by the adjacent side.
For station A:
tan(145°) = opposite side (dA) / adjacent side (14 miles)
dA = 14 * tan(145°)
For station B:
tan(150°) = opposite side (dB) / adjacent side (14 miles)
dB = 14 * tan(150°)
Now, let's calculate these distances using a calculator.
dA = 14 * tan(145°) ≈ 38.7 miles
dB = 14 * tan(150°) ≈ 38.4 miles
for such more question on angles
https://brainly.com/question/25716982
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Brian invests £2300 into his bank account. He receives 10% per year simple interest. How much will Brian have after 2 years?
Answer:
im pretty sure $460 idk
Step-by-step explanation:
Find an interest by using the formula
I=P⋅i⋅t
, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. In this
P = $2300, i = 10% and t = 2 years,
Grace hit 12 balls in the batting cage out of 20 pitches. Tomorrow she is going to go to the same batting cage and get 30 pitches.
Use experimental probability to predict how many of the 30 pitches she will hit.
Answer:
she is expected to hit 18 out of the 30 pitches
Step-by-step explanation:
In this question, we are required to use experimental probability to make a prediction.
From the hits she has today, we can estimate the number of hits she might be getting tomorrow.
Since she made 12 hits out of 20 today, the probability that she has a hit will be 12/20 = 3/5
Now if she is having 30 pitches tomorrow, the expected number of hits would be the probability of getting a hit multiplied by the total number of pitches.
That would be 3/5 * 30 = 18 pitches
I need help Whats the Domain and range
Domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
What is the measure of STR
Answer:
Str (Texture aspect ratio) Str is a measure of uniformity of the surface texture
Step-by-step explanation:
which one come first y axis or x axis
Answer:
x axis
Step-by-step explanation:
just remember it by saying x comes first then y
Answer:
x axis comes first.
Step-by-step explanation:
When pinpointing a point, find the x axis first, and then the y (x , y).
Which equation are correct set ups to solve for the hypotenuse ** 2 answers
(Solve and Round decimal to the nearest hundredths )
Answer:x^2=2^2+4^2. x=4.47
Step-by-step explanation:
Opposite=m=2
Adjacent=n=4
Hypotenuse=x
x^2=m^2+n^2
x^2=2^2+4^2
x^2=4+16
x^2=20
x=√20
x=4.47
The perimeter of quadrilateral ABCD is 640. The perimeter of quadrilateral LMNO is 144. What is LM
Answer:
LM = 36
Step-by-step explanation:
A quadrilateral is a shape with 4sides. There are different type of quadrilateral such as square, rectangle, trapezium, parallelogram, kite and rhombus.
Perimeter of a quadrilateral is the addition of all 4 sides.
Since the shape is not specified neither is there a diagram, let's assume the quadrilateral is a square.
See attachment for diagram used in solving the question.
Perimeter of square = length+ length+ length+ length
= 4× length
Perimeter of quadrilateral ABCD:
640 = 4×length
Length = 640/4
Length = 160
Perimeter of quadrilateral LMNO:
144 = addition of all 4 lengths
144 = LM + MN + NO +OL
Since we are considering a square all the sides are equal.
LM = MN = NO = OL
144 = 4×LM
LM = 144/4
LM = 36
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answer:
Step-by-step explanation:
im confuesd here
Whether ab is tangent to circle c at point b
Answer:
No
Step-by-step explanation:
If segment AB is tangent to the circle, then angle CBA will be a right angle, making triangle ABC a right triangle. If triangle ABC is a right triangle, it's sides will fit the Pythagorean theorem...
(leg)^2 + (leg)^2 = (hypotenuse)^2
Does 8^2 + 16^2 = 19^2 ?
64 + 256 does not equal 361!
Triangle ABC is NOT a right triangle, so segment AB is not tangent to the circle.
HELP ASAP PLEASE! EVERY ANSWER IS APPRECIATED! THANK YOU!
Answer:
74°
Step-by-step explanation:
The blue angle and the red angle are supplementary angles (meaning they add up to 180°) because these two lines are parallel. Therefore, 106° + ? = 180°, and the red angle is 74°. Hope this helps!
Answer:
71° will be your answer
A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER.
There are 197 oak trees in the park. There are 27 more pine trees than oak trees in the park how many trees are there in all
just add.................
197 + 27 = 224
hope this helps
I NEED HELP NOW PLZ. What is the mean of the data set?
17, 24, 25, 13
Answer:
19.75
Step-by-step explanation:
U add the, all up then divide by 4
Answer:
19.75
Step-by-step explanation:
17+24+25+13= 79
79/4= 19.75
