Answer:
acute and isosceles
Step-by-step explanation:
Define:
Acute - All angles have a measure of less than 90 degrees
Obtuse - has an angle with a measure of more than 90 degrees
Right - has an angle with a measure of 90 degrees
Scalene - no congruent side lengths or angles
Isosceles - two congruent sides and two congruent angles
Equilateral - all congruent sides and all congruent angles
Identify:
The triangle shown has angles that measure less than 90 degrees which means that it's an acute triangle
The triangle also has two congruent sides and two congruent angles which means that it's an isosceles triangle.
So we can conclude that the triangle can be identified as an acute isosceles
Po is an oncologist with seven patients in their care. the probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82. what is the probability that four of the patients are still alive after five years?
Answer:
0.0923 = 9.23% probability that four of the patients are still alive after five years.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they are still alive after five years, or they are not. The probability of a patient being alive is independent of any other patient, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Po is an oncologist with seven patients in their care.
This means that [tex]n = 7[/tex]
The probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82.
This means that [tex]p = 0.82[/tex]
What is the probability that four of the patients are still alive after five years?
This is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{7,4}.(0.82)^{4}.(0.18)^{3} = 0.0923[/tex]
0.0923 = 9.23% probability that four of the patients are still alive after five years.
(3x^ - 6x +11) - (10x^ - 4x + 6)
Answer:
3x−6x+11−(10x−4x+6)
=5x10−10x7+3x5
x10
=5x5−10x2+3
x5
Step-by-step explanation:
i hope this helps and i hope you understand this, sorry if you dont understand
5(x+2)-4 = 13-7(x+1)
Answer:
0
Step-by-step explanation:
5x+10-4=13-7x-7
5x+6=6-7x
5x+0= -7x
0=-12x
Divide and u get x=0
lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% confidence interval
Answer:
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=8[/tex]
Mean [tex]\=x=4.1602[/tex]
Standard deviation [tex]\sigma=0.001gram[/tex]
Generally 99\% confidence from table is mathematically given by
[tex]99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}[/tex]
[tex]P(-z<x<z)=0.99[/tex]
[tex]Z_{\alpha/2}=2.576[/tex]
Generally the equation for 99\% confidence level (CI) is mathematically given by
[tex]99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}[/tex]
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
PLEASE HELPPPP ASAP PLS WILL MARK BRAINLIEST
Answer:
5X+6+3X-2 =180
8X+4. =180
8X. =180-4
8X. =176
X=22
CBD=EBF=3x-2
=66-2
=64
CBD=64
Given that ABCD is a rectangle, find the perimeter of the figure below. Round your answer to the nearest tenth. *
Options
18 ft
19.7 ft
21 ft
24.4 ft
9514 1404 393
Answer:
(b) 19.7 ft
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of the 3 straight sides and half the circumference of a 3-ft circle.
P = 6 + 3 + 6 + (1/2)(π)(3) = 15 +3/2π ≈ 19.712 . . . feet
The perimeter is about 19.7 feet.
2 +2 pls give me the answer
Answer:
4
Step-by-step explanation:
2+2=4
For "downhill" lines, if the rise is negative, the run must be
?
9514 1404 393
Answer:
positive
Step-by-step explanation:
When considering the slope of a line, we usually choose "rise" and "run" so that "run" is positive, and "rise" measures the vertical change as one moves from left to right.
If we assume that "downhill" lines refers to lines that go from upper left to lower right (downhill to the right), then the rise is negative while the run is positive.
__
Additional comment
Here, we assume a line is considered to be "downhill" if it has negative slope. In the real world, "downhill" is the direction the ball rolls under the influence of gravity. That direction might be behind you, or to your left, instead of in front of you or to the right.
Definitions are important in math. "Downhill" is not a term that is widely used to describe lines, so we have to guess the intended meaning here.
1 Joseph weighs 100 pounds and his sister weighs 100 pounds. How much do they weigh together? 15 a. 4 200 pounds 4 100 15 15 pounds b. d. 2 200 pounds 20 5 200 pounds 15 Please select the best answer from the choices provided O A OB Ос D
X/30 + X/40= 1
Solve for x
Answer:
17 1/7 I think
Step-by-step explanation:
x=17.1
Step-by-step explanation:
[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]
In exponential smoothing, the equation involves what type of value that is not part of the moving averages equation?
a. Upper limit
b. Lower limit
c. Level smoothing constant
d. Recent observed value
Answer:
d. Recent observed value
Step-by-step explanation:
Exponential smoothing is technique for smoothing time series data. In exponential smoothing more recent observed values give larger weights while the weights will decline if observed values are more distant. In moving average the observations were weighted equally.
Solve the system.
2x + y = 3 −2y = 14 − 6x
Answer:
(x , y ) = (39/22 , -2/11 )
.............
Answer:
-2,3 3,-7
Step-by-step explanation:
took test :)
VERY URGENT
The sum of two numbers is 36. The smaller number is 18 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
Larger number: 22
The smaller number: 14
HOPE THIS HELPS
Look at the angle shown below.
Estimate the measure of the angle.
Answer:
A
Step-by-step explanation:
It's only slightly bigger than 90 degrees, so 110 is the only plausible conclusion
Answer:
110
Step-by-step explanation:
Miguel went shopping for a new phone. Sales tax where he lives is 4%. What number should he multiply the price of the phone by to find the total plus tax in one step?
Answer:
miges fue y no me compro el celu
Step-by-step explanation:
mal migel
por culpa de brailyn reverg
Which graph shows Point Pin Quadrant II and Point Q as (3,-4)
Answer:
p would be up top on the negative side (left)
q would be at the bottom on the positive side (right)
Which of the following is the product of 7/8 and -4/21? a.- 1/6 b.1/12 c.- 16/21 d.- 147/32
Answer:
A. -1/6
Step-by-step explanation:
7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6The product of 7/8 and -4/21 is a.- 1/6.
What is the product?In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.
Now the given numbers are,
7/8 and -4/21
now taking 7/8 and since 8= 4*2
so, 7/8 = 7/(4*2)
Again taking -4/28 and since 28 = 7*4
so, -4/21 = -4/(7*3)
hence the product of 7/8 and -4/21 is given as,
7/8*(-4/21) = 7/(4*2) x -4/(7*3)
taking alike terms together we get,
7/8*(-4/28) = (7/7)(4/4)(-1/2*3)
⇒ 7/8*(-4/28) = -1/6
Hence the correct option is a.-1/6
Therefore,The product of 7/8 and -4/21 is a.- 1/6.
Learn more about product :
https://brainly.com/question/1549083
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Help me out thankssssss !!!!!!
Answer:
78/2=39°
Step-by-step explanation:
thx for the points
Find c,d, & e if A=127 B=90 and F= 111
Answer:
C) 143
D) 37
E) 74
Step-by-step explanation:
C) 180 - 37 = 143
D) 180 - 143 = 37
E) 180 - 37 - 69 = E
help simplify √10/18
Answer:
Letter A
Step-by-step explanation:
Hope this helps
Answer:
its A
Step-by-step explanation:
What is the equation of a circle with center (4, 4) and radius 7?
Answer:
(x-4)^2 + (y-4)^2 = 49
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where ( h,k) is the center and r is the radius
(x-4)^2 + (y-4)^2 = 7^2
(x-4)^2 + (y-4)^2 = 49
A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) in each suit. If you are dealt exactly two cards from the deck without replacement, what is the probability that you are dealt a pair (matching cards in different suits)
Answer:
P(a pair with matching cards in different suits) = 1/52
Step-by-step explanation:
We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.
Thus;
Probability of selecting one card of a particular suit = 13/52 = 1/4
If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.
Thus; probability = 3/39 = 1/13
Thus;
P(a pair with matching cards in different suits) = 1/4 × 1/13
P(a pair with matching cards in different suits) = 1/52
4. If your balance on an investment of $100 that has been invested at
a rate of 7.5% is $178.35 at the end of 8 years, does the plan have simple
interest or compound interest?
Answer:
Simple interest
Step-by-step explanation:
Because its a period of 8 years
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
The solution set to the absolute value is:
[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]
Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].
Step-by-step explanation:
From Mathematics, we know that absolute values are defined by the following characteristics:
1) For [tex]x \ge 0[/tex], [tex]|x| = x[/tex]
2) For [tex]x < 0[/tex], [tex]|x| = - x[/tex]
Then, if [tex]|x| = x[/tex], then the solution set to the absolute value is:
[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]
Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].
Find the distance between the pair of points: (2,6) and (0,−3).
Answer:
d = √85
Step-by-step explanation:
d^2 = (X2 - X1)^2 + (Y2 - Y1)^2
= (2 - 0)^2 + (6 + 3)^2
= 4 + 81
d = √85
Use the Squeeze Theorem
Answer:
See Below.
Step-by-step explanation:
We want to use the Squeeze Theorem to show that:
[tex]\displaystyle \lim_{x \to 0}\left(x^2\sin\left(\frac{2}{x}\right)\right)=0[/tex]
Recall that according to the Squeeze Theorem, if:
[tex]\displaystyle g(x)\leq f(x) \leq h(x)[/tex]
And:
[tex]\displaystyle \lim_{x\to c}g(x) =\lim_{x\to c}h(x) = L[/tex]
Then:
[tex]\displaystyle \lim_{x\to c}f(x)=L[/tex]
Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:
[tex]\displaystyle -1 \leq \sin\left(\frac{2}{x}\right) \leq 1[/tex]
We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:
[tex]\displaystyle -x^2\leq x^2\sin\left(\frac{2}{x}\right)\leq x^2[/tex]
Let g = -x², h = x², and f = x²sin(2 / x). We can see that:
[tex]\displaystyle \lim_{x \to 0}g(x) = \lim_{ x \to 0}h(x) = 0[/tex]
And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:
[tex]\displaystyle \lim_{x \to 0}f(x) = \lim_{x \to 0}x^2\sin\left(\frac{2}{x}\right)=0[/tex]
Find the value of x to the nearest degree.
16
7
Not drawn to scale
x°
Answer:
66°
Step-by-step explanation:
Given the right angled triangle :
Opposite side = 16
Adjacent side = 7
Using trigonometric relation :
Tan θ = opposite / Adjacent
Tan x = (16/7)
x = tan^-1(16/7)
x = 66.37°
x = 66°
Round 263.492 to the nearest tenth.
Answer:
260.
because 263 is below 265 so it wont change to 270.
you and your friend start biking to opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend travels 63 feet every 6 seconds. a) how far apart are you and your friend after 15 minutes? b) after 20 minutes you take a 5- minutes rest, but your friend does not. How far apart are you and your friend after 40 minutes? Explain your reasoning.
Answer:
To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.
15 mins x 60 seconds = 900 seconds.
Step-by-step explanation:
In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.
112.5 x 108 = 12150 feet
12150 feet/5280 feet is approximately 2.3 miles.
For your friend you take 900/6 = 150 groups of 6 seconds.
150 x 63 = 9540 feet
9540 feet/5280 feet = 1.79 miles
1.79 miles + 2.3 miles = 2.09 miles
You and your friend are about 2.09 miles apart after 15 minutes.
B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more
3.07 + 2.3 = 5.37 miles after 40 minutes (you).
Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes
0.6 x 5 (5 x 5 = 25 minutes)= 3 miles
1.79 + 3 miles= 4.79 miles (friend)
4.79 + 5.37 = 10.16 miles
You and your friend are about 10.16 miles apart after 40 minutes.
During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which
integer represents the total number of yards at the end of the first four plays?
оооо
9
18