Need answers please help if you can thanks
The area to the right of z = 1.51 on the normal distribution is given as follows:
0.0655.
How to obtain the area to the right?The z-score for this problem is given as follows:
z = 1.51.
Looking at the z-table, the p-value for the z-score of z = 1.51 is given as follows:
0.9345.
Hence the area to the right of z = 1.51 on the normal distribution is given as follows:
1 - 0.9345 = 0.0655.
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A random sample of 25 items is drawn from a population. The sample mean is 850 and population standard deviation is 15. Find a 90% confidence interval
Answer:
The 90% confidence interval of the mean
(846.154, 853.846)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 25
Given that the sample mean (x⁻) = 850
The standard deviation of the Population (σ) = 15
Level of significance = 0.10
Step(ii):-
The 90% confidence interval is determined by
\((x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )\)
\((850 - 1.282\frac{15}{\sqrt{25} } , 850+ 1.282 \frac{15}{\sqrt{25} })\)
(850 - 3.846 , 850 + 3.846)
(846.154 , 853.846)
Final answer:-
The 90% confidence interval of the mean
(846.154, 853.846)
List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.
How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.
Answer: length, width, and hight
hope this helps \( ̄︶ ̄*\))
Find p(0), p(-1) and p(3) for each of the following polynomials:
(i) P(y) =y
2−y+1
please answer this question!
What is the slope passing through the lines (-2,-1) (5,-4)
Answer:
-3/7 or −0.428571428571
Step-by-step explanation:
subtract -4 - -1 and 5 - -2
y1 - x1 / y2 - x2
2.please I need help
9514 1404 393
Answer:
48°60°72°Step-by-step explanation:
The sum of ratio units is 4+5+6 = 15, so each unit stands for 180°/15 = 12°. Multiplying the ratio units by 12° gives the angle values:
4×12° : 5×12° : 6×12° = 48° : 60° : 72°
Angles 1 to 3 are 48°, 60°, 72°, respectively.
Fill in the reason that justifies the step to solve for x in the diagram Given: QS = 42 X + 3 + 2x = 42 o R A. Substitution PropertyB. Segment Addition Postulate C. Simplify.
With the Segment Addition Postulate you have that:
\(QS=QR+RS\)As you have that 42 is equal to QS, and 42 is equal to X + 3 + 2, you use
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The value of side TS is,
⇒ TS = 28
First, we are going to divide the figure and named new points X and Y as:
Now, we know that TS is the sum of TX and XS.
TS = TX + XS
Additionally, TX has the same length of HJ, so:
TX = HJ = 14
Now, we want to know the length of YK, and we can calculate it using the following equation:
LK = LY + YK
LY = HJ,
so, LY = 14
And, 42 = 14 + YK
42 - 14 = YK
28 = YK
Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:
XS = YK/2
XS = 28/2
XS = 14
Therefore, TS is equal to:
TS = TX + XS
TS = 14 + 14
TS = 28
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you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
What is the solution to the equation below?
-5+ 3x-2-6
Answer:
x= 4.33333333
Step-by-step explanation:
First, you need to get the constants to the other side. That would equal 13. You do this by using the opposite sign to get it to the other side. In this instance you would first add 6 to -6 and 0:
-6 = 0
+6 +6
You do this with all the other constants until you have this
3x = 13
You then divide each side by 3 because the whole point of solving the equation is to get x by itself. After you divide 3x by 3 you cancel out the 3 there. And when you divide 13 by 3 you get 4.33333333
So x = 4.33333333
Hope this helps!
Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.
What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Enter your answer as percentage, expressed to the nearest tenth of a percent, like this: 42.2%
Answer:
Step-by-step explanation:
1 white 1 green 1 blue + 2 reds = 5 balls
5 seen as a percentage
5%
Which of the figure has reflectional symmetry
A. Figure C
B. Figure B
C.Figure D
D.Figure A
The figure that shows a reflectional symmetry would be figure C. That is option A.
What is reflectional symmetry of shapes?The reflectional symmetry of shapes is defined as the type of symmetry where one-half of the object reflects the other half of the object.
This is also called a mirror symmetry. This is because the image seen in one side of the mirror is exactly the same as the one seen on the other side of the mirror.
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Is 6 inches in 10 seconds proportional to 12 inches in 60 seconds?
Answer: No
Step-by-step explanation:
to be proportional, both numbers have to increase by the same number
because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in
A university student combined a cola drink that costs $0.50 per ounce with a cherry drink that costs $1.70 per ounce. How many ounces of each were used to make a combined mixture of 10 ounces costing $1.34 per ounce? If u was the amount of cherry drink, an equation that models the problem is: 1.70(O) + 0.50(O) = 1.34([ The amount of cherry drink was ounces. The amount of cola drink was ounces.
9514 1404 393
Answer:
cherry: 7 ozcola: 3 ozStep-by-step explanation:
Let u represent the amount (ounces) of cherry drink. Then the amount of cola is (10-u). The total cost of the cherry cola drink is ...
0.50(10 -u) +1.70u = 1.34(10)
1.20u +5 = 13.40 . . . . . . simplify
1.20u = 8.40 . . . . . . . . subtract 5
u = 7 . . . . . . . . . . . . . divide by 1.20
The amount of cherry drink was 7 ounces.
The amount of cola drink was 3 ounces.
Graph AFGH with vertices F(-2,2), G(-2,-4), and H(-4,-4) and its image after the similarity transformation.
Rotation: 180° about the origin
Dilation: center (2,-2) and k = 2
Answer:
i think its 5
Step-by-step explanation:
im not sure if its 5 or not but im guessing
I'm giving ⚡️ 100 POINTS ⚡️ for a hella easy question, its provided in the picture i mark BRAINLIEST
Answer:
7620 is the answer.Step-by-step explanation:
7.62 × 10^3= 7.62 × 1000= 7620
If you like this answer then mark this answer as BRAINLIEST answer.....
Thank you ☺️☺️
Fernando can run 600 meters
in 5 minutes. At this rate,
how many minutes would it
take him to run 1,500
meters?
Answer:
12.5 minutes
Step-by-step explanation:
Given that,
Fernando can run 600 meters in 5 minutes.
We need to find how many minutes would it take him to run 1500 meters.
ATQ,
600 m = 5 min
1 m = (5/600) min
For 1500 m,
\(t=\dfrac{5}{600}\times 1500\\\\t=12.5\ min\)
So, it will take 12.5 minutes to run 1500 m.
an item is priced at $14.16. If sales tax is 6%, what does item cost including sales tax? If necessary, round to the nearest cent
Answer:
B
15.01
6 percent of 14.16 is 0.85. Add 0.85 to 14.16 and you get 15.01
Find the angle (in radians) between the vectors. (Round your answer to two decimal places.)
Answer:
\(\alpha=90°\)Step-by-step explanation:
As a first step calculate the dot product of the vectors, the dot product is defined as the product of the magnitudes of the vectors multiplied by the cosine of the angle between them:
\(a\cdot b=\lvert{a}\rvert *\lvert{b}\rvert *cos(\alpha)\)Now, make the angle the subject of the equation:
\(cos(\alpha)=\frac{a\cdot b}{\lvert{a}\rvert *\lvert{b}\rvert}\)Remember that the magnitude is the square root of the sum of the vector's components to the second power. Hence, for the angle between the vectors:
\(\begin{gathered} u=\langle6,0\rangle \\ v=\langle0,-7\rangle \end{gathered}\)\(\begin{gathered} cos(\alpha)=\frac{(6*0)+(0*-7)}{\sqrt{6^2}*\sqrt{(-7)^2}} \\ cos(\alpha)=0 \\ \alpha=\cos^{-1}(0) \\ \alpha=90° \end{gathered}\)Drawing a number divisible by 3 then drawing a 1
Answer:
Step-by-step explanation:
The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.
The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.
To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:
(1/3) x (1/10) = 1/30
So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%
Answer:
If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this
Step-by-step explanation:
the question is in the picture
Answer:
675
Step-by-step explanation:
2. The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. Find the third moment of the distribution about 10.
Please explain the answer and workings.
Step-by-step explanation:
The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?
Call the random variable x.
Now, define a new variable y = x - 5. Note that x - 10 = y - 5.
So, it is clear that (x-10)^3 = (y-5)^3
Also, note that (y-5)^3 can be expanded as follows:
Expand (y-5)³
Result ; y³-15 y²+75 y - 125
Letting E denote expectation with respect to the random variable x, we see that
E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125
Again, recalling that y = x - 5, have
E(y^3) = 140
E(y^2) = 20
E(y) = E(x) - 5 = 5 - 5 = 0
Thus,
E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285
Finally, note that
E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]
So, we get E[(x-10)^3] = -285.
Find the slope of the line graphed below.
Answer:
-2
Step-by-step explanation:
The line appears to cross through (2,3) and (4,-1)
You can subtract the x values and y values to determine the difference:
\(2 - 4= - 2 \\ 3 - ( - 1) = 4\)
These can be used as the y and x values in y over x to find the slope:
\( \frac{4}{ - 2} = - 2\)
The slope is -2
If a model car has a scale of 3in.: 5ft., what would be the length of the model be if the actual car was 15 ft. long?
set up the ratios:
3/5 = x/15
Cross multiply:
45 = 5x
Divide both sides by 5:
X = 9
The model would be 9 inches long
Answer:
120ft
Step-by-step explanation:
The function f(x) = 75x + 100 models the cost of renting an event tent, where x is the number of hours and f(x) is the total cost. What is a reasonable domain for the function?
A. x < 0
B. x > 0
C. all real numbers
D. cannot be determined
The reasonable domain for the function is (b) x > 0
What is a reasonable domain for the function?From the question, we have the following parameters that can be used in our computation:
The function f(x) = 75x + 100
Where x is the number of hours
f(x) is the total cost.
In this case, the number of hours cannot be negative or 0
This means that the values of x in the function would be x > 0
These values of x are the domain
So, the reasonable domain for the function os (b) x > 0
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of 30 students , 1/3 play sports. Of those who play sports, 2/5 play soccer. How many students play soccer?
Answer:
10 ppl play sport. 2/5= 4/10 so 4 ppl play soccer
Step-by-step explanation:
Use this image to classify each pair of lines.
Lines AB and CD are both perpendicular to the line EF, then AB |is parallel to CD. The lines CD and GH cannot be defined. The lines AB and GH cannot be defined. Lines IJ and CD are perpendicular
What are Parallel and perpendicular lines in terms of slope of lines?Two lines are said to be parallel if : m(1) = m(2).
Two lines are perpendicular to each other if : m(1) x m(2) = -1.
We have to classify the set of these lines as; Parallel, Perpendicular or Cannot Be Determined.
1. Lines AB and CD are both perpendicular to the line EF, then AB |is parallel to CD.
2. The lines CD and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect.
3. The lines AB and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect.
4. Lines IJ and CD are perpendicular; because they intersect each other at right angle.
Hence, the solutions to the table are shown above as options.
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A van got stalled in front of your house. The driver asked barangay officials to help him push the van to get moving. They used a total force of 1,200 newtons. After pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.
How much power did the volinteers use to pushe the van?
It should be noted that the power that the volunteers use to pushe the van is 200 watts.
How to calculate the power?From the information, they used a total force of 1,200 newtons and ater pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.
It should be noted that power is calculated as:
Power = Force × Displacement / Time
Force = 1200 Newton
Displacement = 150 meters
Time = 15 minutes = 15 × 60 = 900 seconds.
Therefore, the power that the volunteers use to pushe the van is:
Power = Force × Displacement / Time
=(1200 × 150) / 900
= 200 Watt.
Therefore, it should be noted that the power that the volunteers use to pushe the van is 200 watts.
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Identify the transformation that carries the figure onto itself?
A) reflect across the line y= 2 and rotate 90 clockwise about (2,4)
B) reflect across the line y = 2 and rotate 360 clockwise about (2,4)
C) reflect across the line x=2 and rotate 270 clockwise about (2,4)
D) reflect across the line x = 2 and rotate 540 clockwise about ( 2,4)
The polygon is reflected across the line y = 2 and rotate 360 clockwise about (2,4). Then the correct option is B.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself, and it maintains some spatial correlation between figures.
The polygon is given below.
The polygon is reflected across the line y = 2 and rotate 360 clockwise about (2,4).
Then the correct option is B.
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Which measurement could be a perimeter measure?
24.6 in
36 m 2
12 ft 3
8.5 ml