Answer:
the answer will be - 9
Step-by-step explanation:
because 4plus 3 is 7 and minus one is 6 and then plus one is 7 and then plus the 2 and the ans will be x = -9
Given that there were 4 Heads in the first 7 tosses, find the probability that the 2nd Heads occurred at the 4th toss. Give a numerical answer.
Answer:
The probability that the 2nd Heads occurred at the 4th toss is 5.99%.
Step-by-step explanation:
Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:
7 - 4 = 3
4/7 x 3/7 x 3/7 x 4/7 = X
0.571 x 0.428 x 0.428 x 0.571 = X
0.0599 = X
Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.
Which of the following is equal to the ratio 5cm:5m:0.02km?
A. 10: 400 C. 1: 100: 400
B. 300:2000 D. 10: 500
Answer:
Its C. When you are getting ratios, we need to convert the units too...
The correct ratio which is equal to the ratio 5cm:5m:0.02km is,
⇒ 1 : 100 : 400
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
We have to given that;
The ratio is,
⇒ 5cm:5m:0.02km
Now, We can simplify the ratio as;
⇒ 5 cm : 5 m : 0.02 km
⇒ 5 cm : 5 x 100 cm : 0.02 x 100000
⇒ 5 cm : 500 cm : 2000 cm
⇒ 1 : 100 : 400
Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,
⇒ 1 : 100 : 400
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How many and what type of solutions does 7x^2−4x+3 have? 1 rational solution 2 rational solutions 2 irrational solutions 2 nonreal solutions
Answer:
2 non real solutions.
Step-by-step explanation:
We need to use discriminant,
for ax²+bx+c=0
The discriminat is b²-4ac
If the discriminant is,
→ less than 0, then 0 real solutions
→ equal to 0, then 1 real solutions
→ more than 0, then 2 real solutions
Given that,
7x²−4x+3=0
a=7, b=-4, and c=3
→ (-4)²-4(7)(3)
→ 16-84
→ -68
You can see this is less than 0, then non real solutions. [2 nonreal solutions]
Answer:
Solution given:
7x²-4x+3=0
taking common 7
7(x²+4/7*x+3/7)=0
x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0
(x+2/7)²=-17/49
x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]
x=±√(17)/7-2/7
taking positive
x=√(17)/7-2/7
x=0.39
taking positive
x=-√(17)/7-2/7
x=-0.87
2:unreal number
Express the ratio below in its simplest form. 1.5 : 1
Answer:
3 :2.
Step-by-step explanation:
1.5 : 1
Multiply both numbers by 2:
i this gives 3:2
given triangle abc is similar to triangle efg, with medians cd and gh respectively, ac=9, eg=6, cd=x+2, gh=2x-4. find the length of cd
Answer:
X= 9//
Step-by-step explanation:
abc = efg
ac + cd = eg + gh
9 + (x+2) = 6 + (2x-4)
9 - 6 = 2x-4 - (x+2)
3 = x - 6
3+6 = x
9 = x//
h(x)=6/(x-3), find h(5)
h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.
We are given the function h(x) below:
[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]
Substitute x = 5 in the equation.
[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]
Simplify in the simplest form.
[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]
Thus h(5) is 3.
Answer
h(5) = 3Hope this helps! Let me know if you have any doubts.
Need to pass please help
questions 1 and 2, please
Answer:
too blurry cant read it
Step-by-step explanation:
.........................................................
IF YOU KNKW ABOUT THIS PLEASE HELP .... What is the volume of the cone shown below?
36
10
A. 3007 units
B. 12367 units3
C. 9007 units3
D. 1200 units 3
Answer:
A. 300π units³
Step-by-step explanation:
Formula for volume of a cone = ⅓πr²h
Where,
radius (r) = ½(10) = 5 units
height (h) = 36 units
Plug in the values and find the volume in terms of π
Volume of the cone = ⅓*π*5²*36
Volume of the cone = 300π units³
The lines shown below are parallel. If the green line has a slope of -3/7, what is
the slope of the red line?
Answer:
-3/7
Step-by-step explanation:
Parallel lines have the same slope
If the green line has a slope of -3/7, the red line has a slope of -3/7
The width of the rectangle shown below is 10 inches the length is 4 feet what is the area of the rectangle in square inches
You are studying the color patterns of a species of iris that can be yellow, purple, or red. If you are performing a chi-squared test to compare the number of each you find in a field to the number you would expect to find based on the pollinators in the area, how many degrees of freedom would you have in your analysis
Answer:
Number of degrees of freedom = 2
Step-by-step explanation:
The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.
Here the total phenotype number is three i.e yellow, purple, or red
Hence, the number of degrees of freedom = total number of phenotype - 1
Number of degrees of freedom = total number of phenotype - 1
Number of degrees of freedom = 3-1
Number of degrees of freedom = 2
A researcher conducted a paired sample t-test to determine if advertisements were viewed more in the morning (before noon) or in the evening (after 5pm) for eight different universities. The results were as follows:
Morning Evening
Morning Evening
Mean 32 40.625
Variance 89.71428571 504.5536
Observations 8 8
Pearson Correlation 0.343785438
Hypothesized Mean Difference 0
df 7
t Stat -1.152587077
P(T<=t) one-tail 0.143458126
t Critical one-tail 1.894578605
P(T<=t) two-tail 0.286916252
t Critical two-tail 2.364624252
Is there a significant difference between morning and evening access to the university advertisements?
a. Yes, there was a significant difference between Morning (M= 32), and Evening (M=40.625), (t [7] = .28, p < .05).
b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).
c. Yes, there was a significant difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15 p < .05).
d. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p < .05).
Answer:
b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).
Step-by-step explanation:
The critical value for one tailed test is t ∝(7) > 1.895
A one tailed test is performed to test the claim that advertisements were viewed more in the morning (before noon) or in the evening (after 5pm)
The null and alternative hypotheses are
H0: μm = μe vs Ha μm > μe
where μm is the mean of the morning and μe is the mean of evening.
The calculated value of t = -1.152587077 which is less than the critical region hence the null hypothesis cannot be rejected .
P(T<=t) one-tail 0.143458126 > 0.05
If two tailed test is performed the critical region is t Critical two-tail 2.364624252
and the calculated t value is -1.152587077 which again does not lie in the critical region .
Hence μm = μe or μm ≤ μe
P(T<=t) two-tail 0.286916252 > 0.025
Therefore
b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).
Option b gives the best answer.
Answer:
5.
The sum of three consecutive odd numbers is equal to thirteen more than two
times the largest number. Let the first odd number be'n'.
(a)
Write the equation of the problem
Answer:
(1 mark)
(b)
Solve for'n' to find the first number
Answer:
(1 mark)
(C)
What are the values of the second and third odd numbers?
Answer:
(1 mark)
(d)
Show that the equation is true.
Answer:
Let the numbers be n, n+2, n+4
Sum equals too= 13+2(n+4), which is 2n+21
a) Equation--> n+n+2+n+4= 2n+21
b) Solution--> 3n+6= 2n+21
=> n= 15
c) Second number--> 17 (15+2)
Third number--> 19 (15+4)
d) 15+15+2+15+4=30+21
=> 51= 51
So, the equation is true.
And pls mark me brainliesttt :)))
find the number of terms in an AP given that it's first and last terms are a & 37a respectively and it's common difference is 4a
Answer:
Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture
You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight. Give your answer as a decimal, to two places
Answer:
Margin of error = 4.21 ounces
Step-by-step explanation:
According to the Question,
Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ouncesTherefore, Sample mean = 31 ounces , Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces
Thus, Margin of error = [tex]Z_{critical}[/tex] × σ / √n ([tex]Z_{critical}[/tex] at α=.010 is 1.645)Putting The Values, We get
1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21
Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces
i need y’all help asap
Will Mark Brainlest help step by step. (The ratio of two men present age is 3:4 and this will be 7:9 after 4 years what are their present age)
Answer:
24 and 32
Step-by-step explanation:
Let their present ages be x and y
Therefore, x
[tex] \frac{x}{y} = \frac{3}{4} [/tex]
we have 4x = 3y
4x - 3y = 0......................(I)
After four years,
[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]
we have, 9(x + 4) = 7(y + 4)
9x + 36 = 7y + 28
9x - 7y = -8 ........................(ii)
Solving (I) and (ii) simultaneously
4x - 3y = 0
9x - 7y = -8
multiply eqn I by 9 and equation (ii) by 4 and subtract result
36x - 27y = 0...............(iii)
36x - 28y = -32...........(iv)
subtracting (iv) from (iii) we have,
y = 32
substituting y back in equation (I)
4x - 3y = 0
4x -3(32) = 0
4x - 96 = 0
4x = 96
x = 24
Their ages are 24 and 32
M∠1 is less than m∠2 by 40 degrees. What is m∠1 and m∠2
Find the area of the figure described
Answer:
153.94
Step-by-step explanation:
A=πr2=π·72≈153.93804
hope this helps!
please mark brainiest<3
Find the largest possible rectangular area you can enclose, assuming you have 128 meters of fencing. What is the (geometric) significance of the dimensions of this largest possible enclosure?
Answer:
Step-by-step explanation:
let the length=x
width=y
P=2(x+y)=128
x+y=128/2=64
y=64-x
area A=xy=x(64-x)=64x-x²
[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]
so A or area is maximum if x=32
y=64-32=32
or it is a square of edge=32 meters.
what is the area of Ghana?
Answer:
its 238,535km²
Step-by-step explanation:
i hope it helps alot
What is the area of Ghana?
ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
PLS HELP! If f(x) = 3x2 – 2x – 11, what is the value of f(-3)?
9514 1404 393
Answer:
22
Step-by-step explanation:
Put -3 where x is and do the arithmetic.
f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11
f(-3) = 22
_____
Additional comment
Sometimes evaluation is easier if you rewrite the polynomial in Horner form:
f(x) = (3x -2)x -11
f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22
In year 13, the scientist will put tree wrap around tree 1 to protect it from the winter snow. The height of the tree wrap needs to be 45 inches.
Answer:
22 feet²
Step-by-step explanation:
We are given:
height of tree h = 45 inches
Circumference= πd × inches
But d = 22.2inches
Therefore area will be
Area = 22.2π × 45 inches²
Area = 3137 inches²
Let's convert from inches² to feet², we have:
1 foot = 12 inches.
Therefore,
1 square foot = 1foot × 1foot = 12inches×12inches
= 3137inches² / 144 inches²
= 22feet²
Note: I attached missing data which states that diameter at year 13 is 22.2inches
Answer: 22
Step-by-step explanation:
simple
please help me find the area
Answer:
165 square ft
Step-by-step explanation:
In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of the side adjacent to angle C?
6.4 inches
7.7 inches
8.4 inches
13.1 inches
Answer:
The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.
Answer:
the answer is B: 7.7 inches
Step-by-step explanation:
did the test go 100%
if sin (A+B)=1 and tan (A-B)=1/sqroot 3
are acute angles. find out the value of A and B
Answer:
A = 60° , B = 30°
Step-by-step explanation:
[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]
[tex]A = 60^\circ[/tex]
[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]
If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?
Answer:
the side length of the hot tub = 4.8ft
Step-by-step explanation:
Scale Factor = 5
Also,
B'C' = 24 feet
Since both are squares so both have all sides equal.
Square A'B'C'D' is dilated by a scale factor of 5
So,
AB = BC = CD = DA = 24/5 = 4.8 ft.
i hope this helps you
The length of the one side of the hot tub is 4.8 ft.
What is Scale Factor?
The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
Here, Richardo wants to build a square pool of the hot tub using a scale factor of 5.
If the each side of the pool is 24 ft.
The length of one side of hot tub = 24/5 = 4.8 ft.
Thus, the length of the one side of the hot tub is 4.8 ft.
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If the surface area of the box in the diagram is 204.25 square feet, what is the value of ‘x’?
the length is 10ft
the height is 6.5ft
what would x
A. 3 ft
B. 2.25 ft
C. 4.5 ft
D. 5 ft
Note: Consider x be the breadth of the box.
Given:
The surface area of the box is 204.25 square feet.
Length of the box = 10 ft
Breadth of the box = x ft
Height of the box = 6.5 ft
To find:
The value of x.
Solution:
The surface area of a cuboid is:
[tex]SA=2(lb+bh+hl)[/tex]
Where, l is length, b is breadth and h is height of the cuboid.
Putting [tex]SA=204.25, l=10,\ b=x,\ h=6.5[/tex] in the above formula, we get
[tex]204.25=2(10\times x+x\times 6.5+6.5\times 10)[/tex]
[tex]204.25=2(10x+6.5x+65)[/tex]
[tex]204.25=2(16.5x+65)[/tex]
Using distributive property, we get
[tex]204.25=2(16.5x)+2(65)[/tex]
[tex]204.25=33x+130[/tex]
[tex]204.25-130=33x[/tex]
[tex]74.25=33x[/tex]
Divide both sides by 33.
[tex]\dfrac{74.25}{33}=x[/tex]
[tex]2.25=x[/tex]
Therefore, the correct option is B.
a bag contains 15 new batteries and 10 use batteries if Heather randomly so what's two batteries from the bag without replacement what is the probability that she will select a used battery and then a new battery
Answer:
1/4
Step-by-step explanation:
Probability is the number of desirable outcomes divided by the number of total outcomes. We can tell these events depend on each other because the batteries are picked without replacement. To find the probability of two dependent events, event that depend on each other, we can find the probability of the first event and the probability of the second event happens if the first is given and multiply them. In this case, the first event is selecting a used battery and the second is picking a new battery.
The total number of outcomes the basically the total amount of batteries that can be chosen. This is 15 + 10 or 25 outcomes. 10 of these batteries are used, and that would correspond to the amount of desirable outcomes because we want to pick a used one. From this, we can say the probability of picking a used battery is 10/25 which simplifies to 2/5.
To find the probability of picking a new battery after picking a used one, we can start by stating the amounts of each battery before the second draw. Since we already picked a used battery, our new totals will be 24 batteries, which 9 are used and 15 are new. Now, we can do the same thing a before, the number of desirable outcomes over the total. We get 15/24 which simplifies to 5/8.
To find the total probability, we multiply the two getting: 2/5 * 5/8 = 1/4.
