Answer:y
=
6
(
x
+
5
4
)
2
−
147
8
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
6
h
=
−
5
4
k
=
−
147
8
Find the vertex
(
h
,
k
)
.
(
−
5
4
,
−
147
8
)
Step-by-step explanation:
Write the equation of the line that passes through the points (4,-5)(4,−5) and (4,-7)(4,−7). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
well, it's a vertical line, so, Check the picture below.
binomial distribution
Answer:
Using the binomial distribution, it is found that
P(X > 3) = 0.0256
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, with p probability.
[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]
[tex]C_{n, x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n, x} = \frac{n!}{p!(n - x)!}[/tex]
Binomial distribution:In this question, we have that n = 4, p = 0.4The desired probability is:P(X > 3) = P(X = 4) since it above next whole number above 3
In which
[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]
[tex]P(X = 4) = C_{4, 4} * (0.4)^{4} (1 - 0.4)^{4 - 4}\\C_{4, 4} = \frac{4!}{4!(4 - 4)!}\\\\P(X = 4) = \frac{4!}{4!(0)!} * (0.4)^{4} (0.6)^{0}\\[/tex]
Then
P(X > 3) = P(X = 4)
P(X > 3) = 0.0256
--------------
Given, n = 4, p = 0.4
in your calculator:press 2nd - DISTR
scroll down to A: binompdf( - press enter
type in # of trials (n), P: (probability), and x value (successes)
press enter on Paste
press enter again
excel/sheets:BINOMDIST(num_successes, num_trials, prob_success, cumulative)
=BINOMDIST(4, 4, 0.4, FALSE
A similar problem is given at brainly.com/question/15557838
I have also attached notes on The Binomial Distribution below
Let me know if you have any questions !
Hope this helps :)
Find the value of x given the EXTERIOR angle measures in a convex pentagon are x, 77, 72, 64, and 80.
Answer:
x = 67°
Step-by-step explanation:
The sum of the exterior angles of a convex pentagon is 360°.
Hence, by adding the given angle measures, we can find x.
⇒ x + 77 + 72 + 64 + 80 = 360
⇒ x + 149 + 144 = 360
⇒ x + 293 = 360
⇒ x = 67°
Answer:
The value of x is 67°Step-by-step explanation:
We know that exterior angles of any polygon sum to 360°.
Use the given angle measures to find the sum
x + 77 + 72 + 64 + 80 = 360Solve it for x
x + 293 = 360x = 360 - 293x = 67I don't understand. Help please.
Answer:
the H stands for hours. the E stands for money. because it says 10h that means she gets $10 per hour. that answers the first question. I don't understand the second part though. hope you get it!
Write the quadratic equation whose roots are -1 and -4, and whose leading coefficient is 4. (Use the letter x to represent the variable.)
Answer:
4x² + 20x + 16 = 0
Step-by-step explanation:
Quadratic equation:(leading coefficient) * [x² - (sum of roots)*x + product of roots] = 0
4* [x² - ( -1 -4)x + (-1)*(-4) ] = 0
4*[ x² - (-5)x + 4] = 0
4 * [x² + 5x + 4] = 0
4*x² + 4*5x + 4*4 = 0
4x² + 20x + 16 = 0
Round each fraction to help you estimate the solution for the following equation: nine tenths minus four tenths equals 0 one half 1 one and one half
Answer:
1/2
Step-by-step explanation:
9/10 - 4/10 = (9-4) / 10 = 5/10 = 1/2
Answer:
9/10 - 4/10 = 5/10 (0.5) zero and a half.
Step-by-step explanation:
The denominators are the same so you only need to subract 4 from nine, you could even simplify it after by dividing the top of the fraction and the bottom by the same number. goodluck btw
5 km= _ m I don't understand
5000
Step-by-step explanation:Measurements can be given in multiple units. Unit conversion is important, especially when dealing with formulas because sometimes only specific units work.
Metric System
In this case, the question is asking about kilometers (km) and meters (m), both of which are in the metric system. Unit conversions are easier in the metric system because it uses prefixes that give you extra information. Each of the prefixes means a different number.
Milli - 1/1000thCenti - 1/100thDeci - 1/10thDeca - 10Kilo - 1000These are not all of the possible prefixes, but they are the most common. This means that a decameter represents 10 meters and 1 millimeter is 1/1000 of a meter.
Conversion
Using the prefixes above, we can tell that 1 kilometer is 1000 meters. So, we can multiply whatever amount of kilometers we have by 1000. This will gives the number of meters.
5 * 1000 = 5000Thus, 5 km = 5000 m.
Please show work and thank you
Answer: [tex]4\sqrt{7}[/tex]
Step-by-step explanation:
If [tex]AC=16, DC=7[/tex], then this means [tex]AD=9[/tex].
So, by the geometric mean theorem, [tex]DB=\sqrt{(9)(7)}=\sqrt{63}[/tex].
This means that by the Pythagorean theorem, [tex]BC=\sqrt{\left(\sqrt{63} \right)^{2}+7^{2}}=\boxed{4\sqrt{7}}[/tex]
A manufacturer inspects 1000 cars and finds that 988 cars have no defects. What is the experimental probability that a car chosen at random will have no defects? If there are 2500 cars in a company, predict the number of cars that are likely to have no defects.
The experimental probability is the number of cars with no defect/ total cars inspected: 988/100 = 0.988
multiply total cars by experimental probability
2500 x 0.988 = 2470
Answer:
98.8%; 2470 cars
Step-by-step explanation:
Help the pic has questions
Answer:
a) [tex]x = 9[/tex]
b) [tex]m \angle 1 = m \angle 2 = 54^\circ[/tex]
Step-by-step explanation:
Since [tex]r\ ||\ s[/tex], through the Alternate Angle Theorem, [tex]m \angle 1 = m \angle 2[/tex]. We can solve for x by setting up an equation where both angles are equal to each other:
[tex]m \angle 1 = m \angle 2\\63-x = 72-2x\\63 +x = 72\\x = 9[/tex]
Now plug in x for both of the formulas to get their angles:
[tex]m \angle 1 = (63 - x)^\circ = (63-9)^\circ = 54^\circ[/tex][tex]m \angle 2 = (72-2x)^\circ = (72-2(9))^\circ = (72-18)^\circ = 54^\circ[/tex]
what transformation of figure 1 results and figure 2?
reflection
dialation
translation
HELP ME PLEASE!!!!!!!
I will help you back!!!!
Is 0 03 less than or greater than 0.32
is 5.91 greater or less than 5.01
Is 3.73 greater or less than 3.83
A borrower has been approved for a loan of $5,000 at 8% interest. The loan will be repaid in nine months. What amount will be repaid at that time?
Answer:
Just multiply 5000 * 0.08, which equals 400.
400 + 5000 = 5400
The borrower will repay $5400 at the end of nine months.
Step-by-step explanation:
Help finish this work I keep doing but the answer is still wrong
- In the 1940s, the U.S. Department of Commerce reported a new way to test the tensile
strength, in pounds per square inch, of concrete. Several samples of concrete specimens
were used to estimate the mean tensile strength of 430 pounds per square inch with a
margin of error of 10 pounds per square inch. After the study was published, another
group proposes to run the same test on concrete specimens but with samples including
many more concrete specimens in each sample. (2 points)
Which of these statements is most likely to be true about the second study?
A. The estimated mean will be greater than 440 pounds per square inch.
B. The margin of error for the second study will likely be around 10 pounds per square inch.
C. The margin of error for the second study will likely be greater than 10 pounds per square inch.
D. The margin of error for the second study will likely be less than 10 pounds per square inch.
Using the Central Limit Theorem, it is found that the statement that is likely to be true about the second study is given by:
D. The margin of error for the second study will likely be less than 10 pounds per square inch.
What does the Central Limit Theorem states?It states that the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
That is, higher sample sizes leads to lower amounts of error, and since the second study has a higher sample size, it should have lower error, hence option D is correct.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
#SPJ1
What is the equation of the line that is perpendicular to
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+6 ~~ \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
therefore then
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]
so we're really looking for the equation of a line whose slope is 4/3 and passes through (3 , 9)
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-9=\cfrac{4}{3}x-4\implies y=\cfrac{4}{3}x+5[/tex]
4.
Let the cost function f of the unusual planet that orbit the earth is given as follows:
Vx+c² - c
f(x)=
c>0
x
I
(a)
Find the domain of f?
(b) Explain how can you define ſ so that it is continuous at x=0?
b
(a)The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex]
(b)The given function is discontinuous at x=0.
What is the domain and range of a function?
Domain is the set of values for which the given function is defined. Range is the set of all values which the given function can output.
The standard function is;
[tex]\rm f(x)= \frac{\sqrt{x+c^2-c} }{x} , c > 0[/tex]
The domain of the given function is found as;
[tex]\rm x+c^2 \geq 0 \ x\neq 0 \\\\ x\geq-c^2 \ x\neq 0[/tex]
The domain of the function is,
[tex]\rm x \geq -c^2 \ x\neq0[/tex]
To find the function is continuous or not, we have to find the continuity;
[tex]\rm f(x) = \frac{\sqrt{ x+c^2-c}}{x} ,c > 0[/tex]
At x= 0 the function is undefined. So that the function is discontinuous at x=0.
Hence, The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex] and the function is discontinuous at x=0.
To learn more about domain, refer to the link:
https://brainly.com/question/20073127
#SPJ1
During which year(s) did Henry collect more coins than Chris?
Answer:
Step-by-step explanation:
1. Henry - 800. Chris - 600. 800 + 600 = 1,400 coins · 2. henry - 600. Chris - 400. 600 - 400 = 200 coins · 3. because henry has 800 chris
B is the midpoint of AC, what in the measure of AB if AC 82cm?
Answer:
AB = 41 cm
Step-by-step explanation:
If B is the midpoint of AC, then B splits AC into 2 equal halves: AB & BC.
Therefore, AB = ½ of AC.
Given, AC = 82 cm.
So,
AB = ½ × AC
AB = 82/2
AB = 41 cm
_____
Hope it helps ⚜
7. Hunter has a choice between 2 pizzas: a circular pizza with a 10-inch diameter, and a square pizza with a 9-inch side. Which statement below is true? O The pizzas have the same area. The area of the square pizza is larger. The area of the circular pizza is 100 square inches The area of the circular pizza is larger.
Answer:
(b) The area of the square pizza is larger
Step-by-step explanation:
The areas can be computed using the appropriate formulas, then compared.
__
circular pizzaA = πr² . . . . . r = half the diameter
A = π(5 in)² = 25π in² ≈ 78.5 in²
square pizzaA = s² . . . . . s is the side length
A = (9 in)² = 81 in²
The area of the square pizza (81 in²) is larger than that of the circular pizza (78.5 in²).
Serika has hired Tom to build her a dollhouse. The dollhouse will be a scale model of her home, and the scale will be 2 inches :
3 feet.
The living room in Serika’s house is 18 feet by 12 feet and has wall-to-wall beige carpeting. How many square inches of
carpeting will Tom need for the living room in Serika’s dollhouse?
Answer:
96 square inches
Step-by-step explanation:
The scale is 2 inches : 3 feet
Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches
For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches
Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches
The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
====================================
[tex]\large \sf \underline{Problem:}[/tex]
The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
====================================
[tex]\large \sf \underline{Answer:}[/tex]
to reduce the force needed to lift the box and change the direction of the force.
====================================
[tex]\large \sf \underline{Explanation:}[/tex]
1. "A lever consists of a rigid bar that is able to pivot at one point. This point of rotation is known as the fulcrum. A force is applied at some point away from the fulcrum (typically called the effort)."
By this definition, we know that force is needed to lift an object using a lever.
2. "When the input and output forces are on opposite sides of the fulcrum, the lever changes the direction of the applied force. This occurs only with first-class levers. When both the input and output forces are on the same side of the fulcrum, the direction of the applied force does not change"
For example, on a sew saw, if a force is applied on one end, you on the other side/end would go up, meaning a change in direction.
3. Lastly, we know a lever is typically used to reduce work, in other words, the force needed to move something.
Basically, if we were to put a lever into an equation:
reduced force + change in direction = lever
(the expection) unless load and force are on the same side, there will be no change in direction.
For example, if you and your friend sit on the same side of a sew saw, the sew saw would not go up or down, meaning no change in direction.
So if not stated otherwise you can assume the load and force are on opposite sides. The purpose of a lever in that situation would be to reduce the force needed to lift the box and change the direction of the force.
*While reading my explanation, it may be helpful to look up a diagram containing a lever, with a load, fulcrum, and applied force.
====================================
[tex]╰┈➤\: \huge\color{pink}{\bold{Answer}}[/tex]
To reduce the force needed to lift the box and change the direction of the force[tex] \: \: [/tex]
[tex]╰┈➤\: \huge\color{pink}{\bold{Explanation}}[/tex]
A lever consists of a rigid bar that is able to pivot at one point This point of rotation is known as the fulcrum A force is applied at some point away from the fulcrum (typically called the effort)[tex]\color{pink}──────────────────────────────[/tex]
[tex]\mathfrak \red{ - \: Cherrrry \: Red}[/tex]
How many numbers between 1 and 100 (inclusive) are divisible by 10 and 77?
Answer:
none
Step-by-step explanation:
The only number in the range 1 to 100 that is divisible by 77 is 77. It is not divisible by 10.
No numbers in the range 1 to 100 are divisible by both 10 and 77.
PLEADE HELP??????????????
Answer:
A
Step-by-step explanation:
because for combinatioj order are no imoortant
Can you please Find x I’m trying to finish before school ends
Answer:
-7.35
Step-by-step explanation:
7/x = cos(60)
x = 7(cos(60))
x = 7/(-0.95)
x = -7.35
Question 6
What would you do to isolate the variable in the equation below using only one step?
x +4= 10
All of the following countries were impacted by Chernobyl EXCEPT...
A. Great Britain
B. Brazil
C. Norway
Answer:
B: Brazil
Step-by-step explanation:
The Chernobyl impacted Belarus, Russia, and Ukraine as well as many other European countries. And Brazil isnt a European country.
( I hoped this helped)
What is the range of this data set? {5, 12, 15, 11, 15, 7, 15, 10, 13}
8
10
12
15
Answer:
B) 10
Step-by-step explanation:
The range of a data set is found by subtracting the smallest term given in the set from the largest term given in the set. First, set the terms in order from least to greatest:
5 , 7 , 10 , 11 , 12 , 13 , 15 , 15, 15 ,
Subtract the greatest (15) with the least (5): 15 - 5 = 10
B) 10 is your answer.
~
Answer:
The answer is b) 10
Step-by-step explanation:
i took the test
Drag each expression to the correct location on the table.
Simplify each exponential expression using the properties of exponents and match it to the correct answer.
answers from left
1. 1
2. 1/2
3. 2
4. 1
Mr. Clinton chose 10 different test scores out of 50, and they are shown below. For the following set of data, find the mean test score, rounding to the nearest tenth (i.e. one decimal place)
{48, 36, 23, 19, 50, 50, 49, 47, 38, 20}
Answer:
38.0
Step-by-step explanation:
'Mean' is just the average of the 10 scores ....
add them all together and divide by 10
380 / 10 = 38