If two triangles are congruent, then all three___and all three___are congruent.
Answer:
Angles and Sides (or sides and angles, doesn't matter).
Step-by-step explanation:
Congruent triangles all have the same angle measures and side lengths.
Please mark me as brainliest!!!!!!!
In a hatch chemical process, two catalysts arc being compared for their effect on the output of the process reaction. A sample of 12 batches was prepared using catalyst 1 and a sample of 10 batches was obtained using catalyst 2. The 12 batches for which catalyst 1 was used gave an average yield of 85 with a sample standard deviation of 4, and the second sample gave an average of 81 and a sample standard deviation of 5. Find a 90% confidence interval for the difference between the population means, assuming that the populations are approximately normally distributed with equal variances
Answer:
The 90% confidence interval, C.I = (0.693, 0.7307)
Step-by-step explanation:
Catalysts 1 and catalyst 2 have the following statistical data;
Catalyst 1
The number of batches in the sample, n₁ = 12
The average yield by the 12 batches of catalyst 1, [tex]\overline x_1[/tex] = 85
The sample standard deviation, s₁ = 4
Catalyst 2
The number of batches in the sample, n₂ = 10
The average yield, [tex]\overline x_2[/tex] = 81
The standard deviation, s₂ = 5
F-test = s₂²/s₁² = 5²/4² = 1.5625
The degrees of freedom, df = n₁ + n₂ - 2
∴ df = 12 + 10 - 2 = 20
The critical-t at 90% confidence level = 1.725
The F-test < The critical-t, we pool the variance
The 90% confidence interval with the assumption of equal variance is given as follows;
[tex]The \ 90\% \ confidence \ interval= \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times (s_p) \times \sqrt{\dfrac{1^{2}}{n_{1}}+\dfrac{1^{2}}{n_{2}}}[/tex]
[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
Therefore;
[tex]s_p[/tex] = √((12 - 1)×4² + (10 - 1)×5²)/(12 + 10 - 2)) ≈ 4.48
Therefore, we get;
[tex]C.I. = \left (85- 81 \right )\pm 1.725 \times 4.48 \times \sqrt{\dfrac{1}{12}+\dfrac{1}{10}}[/tex]
The 90% confidence interval, C.I = 0.693 < μ₁ - μ₂ < 7.307 = (0.693, 0.7307).
Coma and death are possible when _____.
alcohol is ingested slowly
the LD50 is kept low
the BAC nears the LD50 of ethyl alcohol
the BAC is 0.15 percent or more
[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]
Find the area of this triangle
Answer:
6km² sounds like a reasonable answer
A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire attached? Write your answer in simplest form. The wire is attached to the pole feet above the ground.
Answer:
20 ft is where it's attached
HELP FOR BRAQINLIETS
T
Answer:
A -3-[tex]\sqrt{5\\} \\[/tex]
Step-by-step explanation:
I use the quadratic formula to solve
Answer:
D. -6 + 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
The answer is D because to solve for X you use the quadratic formula which is...
-b±[tex]\sqrt{b^{2} - 4ac}[/tex]
now just plug in which would be
-6±[tex]\sqrt{6^{2} - 4(1)(4) }[/tex]
then solve and the final answer would be
-6 ± 2[tex]\sqrt{5}[/tex] but there is only one answer for this which is a positive that is how I got
-6 + 2[tex]\sqrt{5}[/tex]
Which shape contains exactly two pairs of parallel lines?
Trapezoid
Rectangle
Equilateral triangle
Acute triangle
Answer:
Rectangle is the correct answer hope it helps you have a great day keep smiling be happy stay safe ☺️
A rectangle is a special type of parallelogram. Any parallelogram has two pairs of opposite parallel sides. A rectangle is a parallelogram where all four angles are the same, and all four angles are 90 degrees.
Keep in mind that not all parallelograms are rectangles, but any rectangle is always a parallelogram.
In slight contrast, a trapezoid has exactly one pair of parallel lines, while the other pair of opposite sides are not parallel. Triangles of any kind can be ruled out because they don't have any parallel sides at all.
A truck driver is hauling furniture for a moving job. He travels an average
of 40 miles per hour. It takes a total of 17 hours to reach his destination.
How many miles is it to his destination?
Answer:
680 miles
Step-by-step explanation:
Multiply the mph by the total hours to get your answer
40 × 17 = 680
Have a great day! :)
Answer:
680 Miles
Step-by-step explanation: Miles per hour times Hours
40 times 17
Nurse Jackson examines immunization records for this past winter at the school where she works. Got flu Didn't get flu Total Vaccinated 120 380 500 Not vaccinated 160 140 300 Total 280 520 800 How many students were not vaccinated and did not get the flu? O A. 300 B. 380 O C. 160 D. 140
Answer:
140
Step-by-step explanation:
ap3x
Four lines are shown in the graph below.
Which line has the slope with the greatest value?
A
line A
B
line B
C
line C
D
line D
Answer:
D
Step-by-step explanation:
A vertical line will have the steepest slope
there are 5 green balls, 1 yellow ball,and 4 red balls in a bag. what are the probabilities?
choosing a red:
not choosing yellow:
choosing a blue:
Answer:
it is green balls=5
red balls =4
red +green
5+9
=14
The table shows a student's work when solving the equation 8x-(4x-3)=5.
Which statemen ais true?
Answer:
x = 1/2
Step-by-step explanation:
8x-(4x-3)=5
Distribute the minus sign
8x -4x +3 = 5
Combine like terms
4x+3 =5
Subtract 3 from each side
4x+3-3 = 5-3
4x = 2
4x/4 = 2/4
x = 1/2
mops and buckets are sold in a shop. 9 mops cost £72. the ratio of the cost of a mop to the cost of a bucket is 4:7. work out the cost of 6 buckets
Answer: 52 pound because if it’s 4:7 7 add 4 = 11 divide that by 72 gets you 52
which statement describes the effect on the parabola y= x^2 -1 when its is changed to y =x^2 +6?
The effect on the parabola y = x^2 - 1 when it is changed to y = x^2 + 6 is a translation of 7 units upwards.
What is the effect on the parabola?First let's do an introduction, for any function f(x), we can define a vertical translation of N units as:
g(x) =f(x) + N
Where if N > 0, the translation is upwards, and if N < 0, the translation is downwards.
In this case, we start with the parabola:
y = f(x) = x^2 - 1
Now we know that the transformed function is:
y = g(x) = x^2 + 6
Now, notice that if we apply a translation upwards of 7 units of the original function we will get:
y = f(x) = x^2 - 1 + 7 = x^2 + 6
We got the transformed function.
Then the effect on the parabola is a translation of 7 units upwards.
Learn more about translations by reading:
https://brainly.com/question/24850937
#SPJ1
Help help yes plsssssssss
A circle has a sector with area \dfrac{17}{2}\pi 2 17 πstart fraction, 17, divided by, 2, end fraction, pi and central angle of \purple{\dfrac{17}{9}\pi} 9 17 πstart color #9d38bd, start fraction, 17, divided by, 9, end fraction, pi, end color #9d38bd radians . What is the area of the circle?
Answer:
The area of the circle is equal to [tex]9\pi[/tex].
Step-by-step explanation:
Given that,
The area of sector is, [tex]\dfrac{17}{2}\pi[/tex]
The central angle is [tex]\dfrac{17}{9}\pi[/tex]
We need to find the area of circle.
We know that,
[tex]\text{Area of sector}=\dfrac{\text{central angle}}{2\pi}\times \text{Area of circle}\\\\\text{Area of circle}=\dfrac{2\pi \times \text{Area of sector}}{\text{central angle}}\\\\=\dfrac{2\pi \times \dfrac{17\pi}{2}}{\dfrac{17\pi }{9}}\\\\=9\pi[/tex]
So, the area of the circle is equal to [tex]9\pi[/tex].
Please help with 19 and 20 find domain and range
8. Chloe received $20.00 for her birthday. She
bought 3 books for $3.59 each. How much
money does Chloe have left?
Answer: $9.23
because you multiply 3.59 by 3 to get $10.77 which was spent then you subtract $10.77 from $20.
Kerry wants to give each student in her class
of a small pizza for lunch. There are 30 students in her class.
How many whole pizzas does she need to buy for her class?
O A. 15
OB. 20
OC. 30
O D. 60
Answer:
I believe the answer is (A) 15.
Step-by-step explanation:
If she buys 15 pizzas and gives each student half a pizza, then that would be 30 halves. Meaning she needs to buy 15.
What is the approximate distance from the origin to the point (−5, 6, −1)? Round to the nearest tenth.
o3.2 units
o3.5 units
o7.7 units
o7.9 units
Answer:the answer is o.7.7
Step-by-step explanation:
If a=-2 and b = 3, what is the value of -3a2b?
1.
-36
2.
36
3.
-54
4.
54
Answer:it’s -36
Step-by-step explanation:
Find the surface area of the ball shown. Use 3.14 for pie.
Radius is 17cm
The ball has a surface area of about ? Cm^2
Answer:
[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]
Step-by-step explanation:
we are given a ball
remember that,a ball is a Sphere
thus,
[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]
given that, redious is 17 cm
substitute:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]
simplify square:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]
substitute the approximate value of π:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]
simplify multiplication:
[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]
hence, the surface area of the sphere is 3629.84 cm²
(Sorry, I forgot to post the graph on the last one) The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equation for the curve of best fit, then estimate the depth of water at a temperature of 50 degrees F.
Answer:
B
Step-by-step explanation:
Mrk me BRAINLIEST PLZZZZZZZZ
will you have enough room for a dance floor that is 8 m x 8 m please explain why or why not
asap
Debbie has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 and the rest on t-shirts. Write an inequality that represents the relationship between the amount of money Debbie has and how much she can spend on t-shirts.
Answer:
22+8x less then or equal to 60
Step-by-step explanation:
Debbie has at most $60 to spend
Then it will be <=60
Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.
And
Let x be the number of t-shirts
Then the cost of x t-shirts will be 8x
Putting this in to inequality will be:
The inequality to find the maximum number of t-shirts is:
find the mean of the following numbers 14,17,28,49
Answer:
27
Step-by-step explanation:
14 + 17 + 28 + 49 = 108
108 / 4 = 27
What is the median of the stem and lear plot
Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers
Step-by-step explanation:
help I don’t know the answer
Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2
Answer:
Hello! answer: 2
Step-by-step explanation:
The mode is just the number shown the most in the set of numbers so 2 is the mode because 2 is shown the most Hope that helps!