Answer:
The logs do not form a right-angle triangle
Step-by-step explanation:
Given
[tex]Logs: 9ft, 11ft, 21ft[/tex]
Required
Do the logs form a right-angled triangle
Applying Pythagoras theorem
[tex]a^2 = b^2 + c^2[/tex]
Where a is the length of the longest log.
So, we have:
[tex]21^2 = 9^2 + 11^2[/tex]
[tex]441 = 81 + 121[/tex]
[tex]441 \ne 202[/tex]
The above shows an inequality.
Hence, the logs do not form a right-angle triangle
One hundred tomato plants were randomly selected from a large garden, and a 90% confidence interval was computed to determine the true proportion of plants that produce useable tomatoes. The interval is 0.86 to 0.92.
What can be done to decrease the margin of error? Check all that apply.
Increase the sample size.
Increase the confidence level.
Select another sample.
Decrease the sample size.
Decrease the confidence level.
Select many samples of the same size and calculate the intervals.
ITS A & E
Answer:
its
A : Increase the sample size.
E : Decrease the confidence level.
Step-by-step explanation:
Solve the systems of equations by using the substitution method,show your work.
3x - 8y = -50
6y = x
Please.Help
Given a standardized normal distribution (with a mean of O and a standard deviation of 1), determine the following probabilities.
a. P(Z > 1.09) b. P(Z < -0.22) c. P(-1.96
d. What is the value of Z if only 8.08% of all possible Z-values are larger?
Answer:
a) P(Z > 1.09) = 0.1379
b) P(Z < -0.22) = 0.4129.
c) P(Z < -1.96) = 0.025, P(Z > -1.96) = 0.025
d) Z = 1.4
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. P(Z > 1.09)
This is 1 subtracted by the pvalue of Z = 1.09.
Z = 1.09 has a pvalue of 0.8621
1 - 0.8621 = 0.1379, so
P(Z > 1.09) = 0.1379
b. P(Z < -0.22)
This is the pvalue of Z = -0.22.
Z = -0.22 has a pvalue of 0.4129. So
P(Z < -0.22) = 0.4129.
c) P(Z < -1.96) or P(Z > -1.96)
Z = -1.96 has a pvalue of 0.025. So
1 - 0.025 = 0.975
P(Z < -1.96) = 0.025
P(Z > -1.96) = 0.025
d. What is the value of Z if only 8.08% of all possible Z-values are larger?
Z with a pvalue of 100 - 8.08 = 91.92 = 0.9192, so Z = 1.4
In some 4.0 grading systems, a student's grade point average (GPA) is calculated by assigning letter grades the following numerical values.
A = 4.00 B− = 2.67 D+ = 1.33
A− = 3.67 C+ = 2.33 D = 1.00
B+ = 3.33 C = 2.00 D− = 0.67
B = 3.00 C− = 1.67 F = 0.00
Use this grading system to find this student's GPA. Round to the nearest hundredth.
Jerry's Grades, Fall Semester
Course Course Course
grade units
English A 3
Anthropology A 3
Chemistry B− 4
French C 3
Theatre B 2
Answer:
This student's GPA is 3.04.
Step-by-step explanation:
Student's GPA:
To find the students GPA, we find the sum of the multiplication of each numerical grade(A is 4, A- is 3.67 and so on) and the credit load of the course, divided by the number of courses.
His grades are:
4 in English worth 3 credits.
4 in Antropology worth 3 credits.
2.67 in Chemistry worth 4 credits.
2 in French worth 4 credits.
3 in Theatre worth 2 credits.
GPA:
[tex]\frac{4*3+4*3+2.67*4+2*4+3*2}{3+3+4+4+2} = 3.04[/tex]
This student's GPA is 3.04.
Answer:
3.04
Step-by-step explanation:
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.
a^2 + b^2 = c^2
Let c = hypotenuse = 2x
One of the legs = x. Let a or b = x.
I will let a = x. We can then say that b = 3.
3^2 + x^2 = (2x)^2
9 + x^2 = 4x^2
9 = 4x^2 - x^2
9 = 2x^2
9/2 = x^2
sqrt{9/2} = sqrt{x^2}
3/sqrt{2} = x
Rational denominator.
[3•sqrt{2}]/2 = x = a
Side 3 is given to be 3 feet. So, b = 3.
Hypotenuse = 2x
Hypotenuse = 2([3•sqrt{2}]/2)
Hypotenuse = 3•sqrt{2}
Understand?
The three sides are 3, [3•sqrt{2}]/2 and
3•sqrt{2}.
Pls help i will mark brainliest
:D Stay cooool
Answer:
B) -40
C)22
D)-11
Step-by-step explanation:
a) 60
b) -40
c) 22
d) -11
hope it helps :D
In how many ways can 5 people arrange themselves in a row for picture taking ?
Answer:
120 times
Step-by-step explanation:
There are 5 people to fill the first place, 4 remaining to fill the second, 3 remaining to fill the third, 2 remaining to the fourth place and only 1 remaining to fill the fifth. That means there are 5 factorial (5!) ways. 5! = 5 x 4 x 3 x 2 x 1 = 120.
I am very confused
Please help
Hello
√12 = 2√3
√18 = 3√2
(2√3).(3√2)= 6√6
Good luck
5 in
1 in 3 in
1 in 1 in
3 in
5 in
1 in
3 in
What is the surface area of the solid?
O A. 15 square inches
OB. 40 square inches
O C. 23 square inches
D. 46 square inches
A boy is 26 years younger than his father. In 3 years' time his age will be 1/3 his father's age. Find the boy's present age
Answer:
10 years
Step-by-step explanation:
let age of the boy x , and let age of his dad y
x - y = 26
y + 3 = (x+3) / 3
x - 26 = (x+3) / 3
3x - 69 = x + 3
2x = 72
x = 26, y = 10
On Monday, 248 students went on a trip to the zoo. All 6 buses were filled and 8 students had to travel in cars. How many students were in each bus?
Answer:
40 students in each bus.
Step-by-step explanation:
Subtract the 8 extra students from the total to get the total number of students who rode in buses. Then divide that total by 6.
248-8=240
240/6=40
40 students in each bus.
HELP I’M SUFFERING FROM THESE MATH PROBLEMS I need to get them done as soon as possible. *cries* please look at my other questions to see the problems
Answer:
Ok so I'm going to put the answer like this
1 3
2 4
1. Already answered
2. Acute, isosceles, 75
3. Right, Scalene, 97
4. Obtuse, Scalene 116
Aight onto number 2
If AC=22 BC=19 in a figure what is the radius?
Answer:
11.09units
Step-by-step explanation:
Find the diagram attached
The radius of the circle is line projecting from the center to the circumference. Hence AB is the radius of the circle.
To get AB, we will use the pythagoras theorem as shown;
Given
AC=22
BC=19
AC² = AB²+BC²
22² = AB²+19²
AB² = 22²-19²
AB² = 484-361
AB² = 123
AB = √123
AB = 11.09
Hence the radius of the circle is 11.09units
Un grupo de estudiantes alquila un piso por el que tienen que pagar 420 € al mes. Uno de ellos hace cuentas
y observa que si fueran dos estudiantes más, cada uno tendría que pagar 24 € menos. ¿Cuántos estudiantes
han alquilado el piso? ¿Cuánto paga cada uno?
Answer:
I dont know but i just need these points
a + b - b =
what is it plzz help
Answer:
a + b - b = a
Step-by-step explanation:
3
A minor arc of circle P is
E
P
H
G
F
A. EHF
B. FGH
C. EFG
D. FEH
Answer:
Step-by-step explanation:
Solve two challenging problems that ask you to find an arc measure using the arc ... Minor arc AB is just a portion of the complete circle P.
hi I really need help with my math questions because I am on the edge of failing math class please help me out thank you!
The owner of an art supply store wants to know which arts are popular among her customers.
Select the methods that will likely create a representative sample.
1 - Group of answer choices
2 - Survey every employee who works in the store.
3 - Survey every customer whose name is picked randomly from a list of all customers.
4 - Survey every fifth person at a painting exhibition.
5 - Survey every fifth customer who purchases sketching supplies.
6 - Survey every customer who spends more than $200.
survey every employee who works in the store
Step-by-step explanation:
1 Write the series 3 + 6x +9x2 +12x + ... with 45 terms in sigma notation.
Answer:
Step-by-step explanation:
It looks like every time the coefficient increases by 3 while the exponent increases by 1.
[tex]\\45\\\sum 3(n+1)x^{n}\\n = 0[/tex]
Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0
The exponent is simply n, because at the start is it zero [tex]x^0=1[/tex], then 1, then 2, so on.
The upper limit is 45 because 45 - 0 = 45 terms
a tringle with sides of lengths 16, 30, and 35 is a right triangle
Answer: no
Step-by-step explanation:
when using the pythagorean theorm, the math doens't add up
16^2+30^2 does not equal 35^2
hope this helps!
On the first two downs, a football team lost 15 yards and then lost 19 yards. Write an expression with addition that shows the changes in yards on the first two downs.
Answer:
The expression with addition that shows the changes in yards on the first two downs is -(15 + 19) = -34
Step-by-step explanation:
At the first down, the net yardage of the football team was of 0.
After the first play:
Lost 15 yards, so the change in yards is:
0 - 15 = -15
After the second play:
Lost 19 yards, so the change in yards is:
-15 - 19 = -(15 + 19) = -34
The expression with addition that shows the changes in yards on the first two downs is -(15 + 19) = -34
Please help me with this question.
Answer:
-7
Step-by-step explanation:
hope it helps
What is the area of the triangle below?
Answer:
36
Step-by-step explanation:
1/2 × b× h
= 1/2 × 9×8
= 9×4
= 36 sq. in
Complete the set of data with value so that the mean of the data is 24
26, 35, 10, 18, 15, 37, 25, 20, 15, ?
26+35+10+18+15+37+25+20+15/9= 22.33
. Find each of the following probabilities for a normal distribution. a. p(21.80 , z , 0.20) b. p(20.40 , z , 1.40) c. p(0.25 , z , 1.25) d. p(20.90 , z , 20.60)
Correct question is;
A. p(-1.80 < z < 0.20 )
B. p(-0.4 < z < 1.4)
C. p(0.25 < z < 1.25)
D. p(-0.9 < z < -0.6)
Answer:
A) p(-1.80 < z < 0.20) = 0.54333
B) p(-0.4 < z < 1.4) = 0.57466
C) p(0.25 < z < 1.25) = 0.29564
D) p(-0.9 < z < -0.6) = 0.90981
Step-by-step explanation:
A) p(-1.80 < z < 0.20 )
This gives us;
P(z < 0.2) - P(z < -1.8)
From z-distribution tables;
P(z > 0.2) = 0.57926
And P(z < -1.8) = 0.03593
Thus;
p(-1.80 < z < 0.20) = 0.57926 - 0.03593 p(-1.80 < z < 0.20) = 0.54333
B) p(-0.4 < z < 1.4)
This gives us;
P(z < 1.4) - P(z < -0.4)
From z-distribution table, we have;
P(z > 1.4) = 0.91924
P(z < -0.4) = 0.34458
Thus;
p(-0.4 < z < 1.4) = 0.91924 - 0.34458
p(-0.4 < z < 1.4) = 0.57466
C) p(0.25 < z < 1.25)
From z-distribution table, we have;
P(z < 0.25) = 0.59871
P(z > 1.25) = 0.10565
Now, to solve this;
p(0.25 < z < 1.25) = 1 - (P(z < 0.25) + P(z > 1.25))
This gives;
p(0.25 < z < 1.25) = 1 - (0.59871 + 0.10565)
p(0.25 < z < 1.25) = 0.29564
D) p(-0.9 < z < -0.6)
From z-distribution table, we have;
P(z < -0.9) = 0.18406
P(z > -0.6) = 0.72575
Thus;
p(-0.9 < z < -0.6) = 0.18406 + 0.72575
p(-0.9 < z < -0.6) = 0.90981
What is the radius?
What is the diameter?
What it the circumference? Use 3.14 for pi.
What is the area?
Use 3.14 for pi.
Answer:
Step-by-step explanation:
radius = 3mm
diameter = 6mm
circumference = 6 x 3,14 = 18.84 mm
area = 3^2 x 3,14 = 28.26 mm^2
Write the equation in standard form for thelcircle with center (-8, -1) and radius 4
9514 1404 393
Answer:
(x +8)^2 +(y +1)^2 = 16
Step-by-step explanation:
The standard form equation for a circle with center (h, k) and radius r is ...
(x -h)^2 + (y -k)^2 = r^2
For your center and radius, the equation is ...
(x -(-8))^2 +(y -(-1))^2 = 4^2
(x +8)^2 +(y +1)^2 = 16
What is the area of the triangle?
Answer:
11 ½ * 4* 5.52 *5.5=11.....….Determine the intercepts of the line I need help quick!!!!!
Answer:
x-inter = (-40,0), y-inter= (0,15)
Step-by-step explanation:
the fitnessgram pacer test is an automated aerobic capacity test that progressively gets more difficult as it continues.
Martin spent $2.60 on his lunch. Sandwiches cost $1.25. Milkshakes cost $0.65. How much MORE does a sandwich cost than a milkshake?
Answer:
0.60 more
Step-by-step explanation:
Sandwich: 1.25
Milkshake: 0.65
We need to find the difference between the 2
1.25 - 0.65 = 0.6
A sandwich costs 60 cents MORE than a milkshake
A taxi driver provides service in two zones of a city. Fares picked up in zone A will have destinations in zone A with a probability of 0.6 or in zone B with a probability of 0.4. Fares picked up in zone B will have destinations in zone A with a probability of 0.3 or in zone B with a probability of 0.7. The driver's expected profit for a trip entirely in zone A is 6; for a trip entirely in zone B is 8, and for a trip that involves both zones is 12. Find the taxi driver's average profit per trip.
Answer:
The taxi driver's average profit per trip is 4.4.
Step-by-step explanation:
Probability of fares picked up in zone A with destinations in zone A = 0.6
Probability of fares picked up in zone A with destinations in zone B = 0.4
Probability of fares picked up in zone B with destinations in zone A = 0.3
Probability of fares picked up in zone B with destinations in zone B = 0.7
The driver's expected profit for a trip entirely in zone A = 6
The driver's expected profit for a trip entirely in zone B = 8
The driver's expected profit for a trip involving both zones is 12
The taxi driver's average profit per trip:
zone A with destinations in zone A = 0.6 * 6 = 3.6
zone A with destinations in zone B = 0.4 * 12 = 4.8
zone B with destinations in zone A = 0.3 * 12 = 3.6
zone B with destinations in zone B = 0.7 * 8 = 5.6
Total profit expected for 4 trips = 17.6
Average profit per trip = 4.4 (17.6/4)