Given:
An archer hits a target 50% of the time.
To find:
The experimental probability that the archer hits the target exactly four of the next five times.
Solution:
It is given that an archer hits a target 50% of the time. It means the probability of hitting the target is
[tex]p=\dfrac{50}{100}[/tex]
[tex]p=0.5[/tex]
The probability of not hitting the target is
[tex]q=1-p[/tex]
[tex]q=1-0.5[/tex]
[tex]q=0.5[/tex]
Binomial distribution formula:
[tex]P(x=r)=^nC_rp^rq^{n-r}[/tex]
We need to find the probability that the archer hits the target exactly four of the next five times. So, [tex]n=5,r=4,p=0.5,q=0.5[/tex].
[tex]P(x=4)=^5C_4(0.5)^4(0.5)^{5-4}[/tex]
[tex]P(x=4)=\dfrac{5!}{4!(5-4)!}(0.5)^4(0.5)^{1}[/tex]
[tex]P(x=4)=5(0.5)^{5}[/tex]
[tex]P(x=4)=0.15625[/tex]
Therefore, the experimental probability that the archer hits the target exactly four of the next five times is 0.15625.
HELPPPP
What is the name of the figure?
Im assuming a hexagon pyramid/cone???
Bc when you look at a square triangle its only called that becoause of its base??
Answer:
it's hexagon cone
someone said that so yeah
Find the volume of the triangular prism.
A triangular prism has a height of 6 meters. Its triangular bases have a base length of 4.2 meters. and a height of 2.8 meters.
The volume of the triangular prism is ___
Answer:
V = 35.28 m³Steps:
V = H × (h×bl)/2
V = 6 × (4.2×2.8)/2
V = 6 × 11.76/2
V = 6 × 5.88
V = 35.28 m³
8
p varies directly as the square root of q.
p = 8 when q = 25.
Find p when q = 100.
Answer:
16
Step-by-step explanation:
p=k√q
8=k√25
8=k5
k=8/5
p when q=100
p=8/5*√100
p=8/5*10
p=16
Find all the missing elements
Round to the nearest tenth.
Answer:
B = 48.7°
C = 61.3°
b = 12
Step-by-step explanation:
Given:
A = 70°
a = 15
c = 14
Required:
B, C, and b
Solution:
✔️Using the law of sines, let's find C:
Sin C/c = Sin A/a
Plug in the values
Sin C/14 = Sin 70/15
Cross multiply
Sin C × 15 = Sin 70 × 14
Divide both sides by 15
Sin C = (Sin 70 × 14)/15
Sin C = 0.8770
C = Sin^{-1}(0.8770)
C = 61.282566° = 61.3° (nearest tenth)
✔️Find B:
B = 180 - (70 + 61.3) (sum of triangle)
B = 48.7°
✔️Find b using the law of sines:
b/sinB = a/sinA
Plug in the values
b/sin 48.7 = 15/sin 70
Cross multiply
b*sin 70 = 15*sin 48.7
Divide both sides by sin 48.7
b = (15*sin 48.7)/sin 70
b = 11.9921789
b = 12.0 (nearest tenth)
what two number have an absolute value of 12?
Answer:
The absolute value of 12, is 12...
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
What is the difference between a leg and a hypotenuse?
Answer:
Legs - the sides that form the right angle of a right triangle.
Hypotenuse - the side opposite the right angle of a right triangle.
Step-by-step explanation:
Every triangle has 3 sides.
Certain special triangle have specific names assigned to their sides.
A right triangle has one right angle and two acute angles. The two sides that form the right angle of a right triangle are called legs. The third side of the right triangle is called hypotenuse. The hypotenuse is opposite the right angle and does not help form the right angle.
Please Help!
Factor the following trinomial
[tex]9x^2-24x+16[/tex]
Please show work
=> 9x² - 24x + 16
Split the middle term(term with x) in such a manner so that the product of those parts is equal to the product of term with x² and constant. Here, those parts are 12 & 12 as 12*12 = 9*16.
=> 9x² - 24x + 16
=> 9x² - (12 + 12)x + 16
=> 9x² - 12x - 12x + 16
=> 3x(3x - 4) - 4(3x - 4)
=> (3x - 4)(3x - 4)
Method 2
=> 9x² - 24x + 16
=> (3x)² - 2(3x*4) + 4²
=> (3x - 4)²
=> (3x - 4)(3x - 4)
Method 3
In case if you can't find the factors of the middle term.
Say f(x) = 0, find the zeroes using quadratic formula. Zeroes of this eqⁿ are [-(-24) ± √24²-4(9)(16)] / 2(9) = 4/3 & 4/3
Therefore, f(x) = (x - 4/3)(x - 4/3) = (3x - 4)(3x - 4)/9
Ignore the numeric constant.
f(x) = (3x - 4)(3x - 4)
Picture is included please help
Answer:
B cannot be factored into a perfect square
multiply
12 times 1/3?
Answer:
4
Step-by-step explanation:
12(1/3)
so it is just 12/3 which is 4
Hope that helps :)
Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still has to save to be able to buy the stereo, where a represents the amount still left to save.
a + 212 greater-than-or-equal-to 365
If Ben saves $15 a week for the next 10 weeks, will he be able to buy the stereo and why?
Answer:
Since Ben would have $362, he won't be able to buy the stereo as he needs to have an amount greater than or equal to 365.
Step-by-step explanation:
First, you need to determine the amount that Ben would have after saving $15 for the next 10 weeks:
$15*10=$150
Now, the inequality indicates that the amount left to save plus 212 should be greater than or equal to 365, so you have to add up 212 plus the amount Ben will save in the next 10 weeks to be able to determine if he would be able to buy the stereo:
150+$212=$362
Since Ben would have $362, he won't be able to buy the stereo as he needs to have an amount greater than or equal to 365.
please help, i will give brainilest.
Answer:
-36
Step-by-step explanation:
Answer:
i think x = 21
Step-by-step explanation:
The inverse of the function f(x) = { x + 10 is shown.
h(x) = 2x-0
What is the missing value?
O 1
O 5
O 10
O20
Answer:
D) 20
Step-by-step explanation:
the missing value is 20
the last option
The equation h(x) = 2x - 0 = x - 10 is satisfied by the value x = -10; the omitted integer is 10.
What is a function?A function is a mathematical formula that illustrates the relationship between the dependent and independent variables. The independent variable's value and the dependent variable's value both change in the function.
Determine x in terms of f(x) in order to determine the inverse of the function f(x) = x + 10:
f(x) = x + 10
f(x) - 10 = x
x = f(x) - 10
Since h(x) is the opposite of f(x), replace x with h(x):
h(x) = f⁻¹(x) = x - 10
Since h(x) is the opposite of f(x), replace x with h(x):
To identify the missing value, compare the expression for h(x) to the supplied function, h(x) = 2x-0. We can see that the appropriate expression for h(x) is:
h(x) = 2x - 0 = x - 10
Find the value of x that allows this equation to be solved:
2x - 0 = x - 10
Simplifying and solving for x,
x = -10
Therefore, the missing value is O 10, since x = -10 satisfies the equation h(x) = 2x - 0 = x - 10
To know more about function follow
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Plz help I’ll mark brainliest:$
(1) x = -2 y = -8
(2) x = -1 y = -4
(3) x = 0 y = 0
(4) x = 1 y = 4
(5) x = 2 y = 8
Those are the answers for what y is so now i think you have to plug it in to the right side of the chart
2000 x 0.045 x 7 =
5000 x 0.07 x 20 =
28000 x 0.09 x 1 =
7500 x 0.035 x 2 =
4000 x 0.045 x 2.5 =
Answer:
639.8
7000
2520
525
450
..........
simplify leaving your answer in the standard form
[tex] \frac{0.0225 \times 0.0256}{0.0015 \times 0.48} [/tex]
Answer:
0.8 is the standard form
What is the surface area of the rectangular prism below
7 7 14
A.496 B.490 C.980 D.248
Answer:
B
Step-by-step explanation:
Formula
SA = 2*L*W + 2*L*H + 2*H*W
Givens
L = 14
W = 7
H = 7
Solution
SA = 2*14*7 + 2*14*7 + 2*7*7
SA = 196 + 196 + 98
SA = 490
Find the volume of a right circular cone that has a height of 9.7 ft and a base with a
radius of 7.6 ft. Round your answer to the nearest tenth of a cubic foot.
Height =9.7ft
Radius=7.6 feet
Volume of a cone =pai r2 h/3 =3.14×57.76×9.7÷3 =586.4103(roundoff)=586ft
Jo records the number of text messages she receives each day she uses this information to draw this bar chart write 3 mistakes she has made
Answer:
X axis labels aren't evenly spaces
Y axis has no origin
Missing label
Step-by-step explanation:
Scale of a graph is important when displaying numerical data on a plot.
Based on the bar chart given, it could be seen that the x axis which is labeled days of the week is not adequately spaced. Data on both axis should he a recognizable.
2.)
Taking a look at the graph, it has no origin, the numbering of the vertical axis, number of text messages should start from 0
3.) Also, the x and y axis aren't labeled Hence charts should be well labeled to include x - axis and y-axis.
Answer:
X axis labels aren't evenly spaces
Missing label
there us no scale written starting at 0
Step-by-step explanation:
this will give u 3/3
how do you round 0.955 to the nearest tenth
Answer:
1.0
Step-by-step explanation:
If you have any questions feel free to ask in the comments
Answer: 1.0
Step-by-step explanation:
Given: "0.995 inches" ; round to the nearest TENTH of an inch.
(which means; round to the nearest "first decimal point" ; and to include the actual first decimal point (and that decimal point only, the "tenths place").
We are given the number: "0.955" . This is given to the nearest THOUSANDS.
We examine the "tenths place": "0.9" . So we know our choices are:
"0.9" (round down to the nearest tenths place); or, "1.0" (round up to the nearest tenths place).
→ We examine the number: "0.955" ; and look to the next value, the "hundredths place".
→ If that digit is 5 or greater (i.e. 5 to 9), we "round up" ; and the correct answer is: "1.0" . If that number is "4" or less (i.e. 0 to 4), we round down; and the correct answer is: "0.9".
________________________________________
In the case of our give value: "0.955" . The digit to the right of "9" is "5" ; so, as previously mentioned, we "round up" ; to: "1.0".
Do not forget to include the units.
______________________________________________________
The answer is: 1.0 inches.
_________________________________________________
A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture? (No links)
Answer:
she have 29 seed for the pasture
if both expressions have the same value after substituting two different values and simplifying, then they are . When p = 2, the first expression is and the second expression is 16. When p = 8, the first expression is 40 and the second expression is . The expressions are .
Answer:
If both expressions have the same value after substituting and simplifying two different values for the variable, then they are
✔ equivalent
.
!Step-by-step explanation:
hop3 it helped
A person places $4630 in an investment account earning an annual rate of 5.7%,
compounded continuously. Using the formula V = Pert, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the nearest
cent, in the account after 9 years.
Answer:
75.935
Step-by-step explanation:
If V = Pe^rt and we are given P (the principle investment) =4630 ,
a rate of 5.7 % which as a decimal = 0.057 (% divided by 100 = decimal)
we can substitute this information in and get V=4630 e^(.057t).
then it says what will it be in 9 years? so we put 9 in for "t" and get
v = 4630 e^(0.057 * 9) simplify using a calculator and we will get our answer.
Does any one know the answer to this thank you
Answer:
The First choice
Step-by-step explanation:
Solve for X triangle.
Answer:
x= 12.942
Law of sines :)
4. Evaluate the expression for the given value of each variable.
5a2 -7 -b3
when a = -2 and b = -3
please help!
NO LINKS!!!
Answer:
-18
Step-by-step explanation:
5a2-7-b3
[tex]5*a*2-7-b*3[/tex]
[tex]5\cdot \left(-2\right)\cdot \left(2\right)-7-\left(-3\right)\cdot 3[/tex]
Therefore, -18 is your answer.
Hope this helped! :)
Mhanifa please help im almost done :)
Answer:
19)
9/4 = (r - 10)/r9r = 4(r - 10)9r = 4r - 405r = -40r = -820)
(x + 6)/x = 10/710x = 7(x + 6)10x = 7x + 423x = 42x = 1421)
(n - 9)/(n + 5) = 7/47(n + 5) = 4(n - 9)7n + 35 = 4n - 363n = -71n = -71/322)
6/(b + 9) = 4/(b + 5)6(b + 5) = 4(b + 9)6b + 30 = 4b + 362b = 6b = 323)
8/3 = (v - 9)/(7v + 4)8(7v + 4) = 3(v - 9)56v + 32 = 3v - 2753v = - 59v = -59/5324)
8/(5x - 4) = 6/(x + 5)8(x + 5) = 6(5x - 4)8x + 40 = 30x - 2422x = 64x = 64/22x = 32/11What is the value of 9x^2 + 13x – 15, if x = 2
Step-by-step explanation:
Given,
[tex]9 {x}^{2} + 13x - 15[/tex]
and
[tex]x = 2[/tex]
Substitute x = 2 into expression.
[tex]9 {x}^{2} + 13x - 15 = 9( {2}^{2} ) + 13(2) - 15 \\ = 9(4) + 26 - 15 \\ = 36 + 26 - 15 \\ = 62 - 15 \\ = 47[/tex]
Answer:
9(2)×2+13(2)-15
18×2+26-15
36+11
47 is your answer ☺️☺️☺️
Given the coordinates for the function below, which of the following are coordinates for its inverse?
The inverse of the given function is represented by Data Table B.
What is a Function?A function is a law that relates a dependent and an independent variable.
The Inverse of the function is determined by interchanging the values of a and y in an f(x,y) function and then express the equation of y in terms of x.
Th table of the function is
Miles to go Miles Travelled
0 0
100 310
200 450
340 550
650 650
The inverse of this data table will be
Miles Travelled Miles to go
650 650
340 550
200 450
100 310
0 0
This is represented by Data Table B.
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(-4,9);m=-1/2
Write the equation in point slope form
how to read a q q q q q q q q q q q q q q q q q
Your read from left to right. Read intensively if you want to practice the fundamentals and learn vocabulary. Intensive reading is focused more on individual details of what you’re reading.
hope this helped <3
Answer:
This is how to read a
Pronounce it with your mouth open as in "ah" then smile with an "ee" sound. Say "Ay" and that's how you say A or "Ah"
How to read Q? Just pronounce it as "Kyuu" or when reading it say "Ck" with a sharper sound.
Hope this helped!