A health magazine reported that 27% of adult males smoke cigarettes. To test this claim, they select 40 adult males at random and record if they smoke cigarettes. They calculate a 95% confidence interval for the proportion of adult males who smoke and find it is 0.22 to 0.28
Answer:
Point estimate = 0.25
Step-by-step explanation:
Complete question
Calculate the point estimate
Solution
Let A represents the number of adult males who smoke cigarettes
Calculation of 95% confidence interval for proportion of adult males who smoke cigarettes
[tex]p-z_\alpha \frac{p(1-p)}{n}[/tex] , [tex]p+z_\alpha \frac{p(1-p)}{n}[/tex]
[tex]p-z_\alpha \frac{p(1-p)}{n} = 0.22\\p+z_\alpha \frac{p(1-p)}{n} = 0.28[/tex]
Point estimate
Adding the above given equations we get -
2 * p = 0.50
p = 0.25
A company creates tin boxes out of sheet metal. What measure should it use to find out how much sheet metal it needs to make a box that is 6 cm by 4 cm by 18 cm? surface area volume area lateral area
Answer:
it is surface area have a good day
Step-by-step explanation:
Answer:
Surface Area!!
Step-by-step explanation:
What is the length of side s of the square shown below?
45*
8
90*
Answer is 4v2
Answer:
4 squareroot 2
Step-by-step explanation:
The answer is 4 squareroot 2
Hamdan says that when you add fractions with the same denominator, you can add the numerators and keep the same denominator. Is Hamdan correct?
Answer:
Yes, Hamdan is correct.
Step-by-step explanation:
Let the two fractions are q/r and s/r.
Here, the denominator is same for both the fractions.
So, as we add them, add the numerators and the denominators remains same.
[tex]\frac{q}{r}+\frac{s}{r}\\\\=\frac{q + s}{r}[/tex]
For example
[tex]\frac{3}{5}+\frac{4}{5}\\\\=\frac{3 + 4}{5}\\\\=\frac{7}{5}[/tex]
So, Hamdan is correct.
Question in the image
Answer:
1/6
is the probability
ok
what is accounting? what is the target audience of accounting?
Find the point below that lies on the line y - 6 = 3(x-5).
O A. (5,6)
O B. (1,-5)
O C. (6,5)
O D. (4, -3)
O E. (3,-1)
Question 6 of 10
62
A
59°
59
Triangle A
Triangle B
Given the triangles above, what is the measure, in degrees, of angler?
Jessie has three one-gallon containers. The first one has 1/5 of a gallon of juice, the second has 1/5 gallon of juice and the third has 1/5 gallons of juice. How many total gallons of juice does Jesse have?
mel paid for 3/4 of the cost of a cake and Gretchen paid the rest. If Mel paid $21, how much did Gretchen pay?
what is the volume explain why will mark branniest GIVE ME EXPLANATION
Answer:
63 yd³
Step-by-step explanation:
V = lwh
V = 7 × 3 × 9
V = 189
Since the cubes are 1/3 yd³, you now multiply the volume of this figure which is if it were a 1 yd³.
189 × [tex]\frac{1}{3}[/tex]
63 yd³
A cylinder has a height of 10 inches and a diameter of 1 1/2 inches. What is the volume of the cylinder
Answer:
The volume would be 7.5 in3
Hope this helps!
Brainliest??
Answer:
the volume is 7.85in³
Step-by-step explanation:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 1 1/2 in. and the height is 10 in. . ... Therefore, the volume of the cylinder is about 7.85 in³.
HAVE A GOOD DAY
Find the surface area of the prism.
Answer:
108 cm²
Step-by-step explanation:
the surface area is the sum of all individual shapes areas on the surface.
2 right-angled triangles
3 rectangles
area of a right-angled triangle is At = a×b/2
At = 4×3/2 = 6 cm²
we need it twice : 12 cm²
one rectangle (length×width) = 8×3 = 24 cm²
one rectangle = 8×4 = 32 in²
one rectangle = 8×5 = 40 cm²
total surface area
A = 12+24+32+40 = 108 cm²
an area is always a square unit (power of 2).
a volume is always a cubic unit (power of 3).
and a length is always a simple unit (power of 1).
1
15
3x =
2
Circle the ratio
xiy
6:1
1:6
3:2
2:3
Question isnt well formatted :
Answer:
1 : 6
Step-by-step explanation:
Given the question :
3x = 1/2y
3x = y/2
Multiply both sides by 2
3x * 2 = y/2 * 2
6x = y
This can be interpreted as :
y = 6 times the value of x
x = y/6
x : y
1 : 6
PLS PLS PLS I NEED HELP
Given * inserted picture* find
Answer:
SinA=5/1 3 CosA=12/13 tanA=5/12. SinC=12/13 CosC=5/13 and tanC=12/5
Step-by-step explanation:
Basically find the third side by Pythagorean theorem which would get you 13. So 13 is the hypotenuse. Remember these 3 formulas. Sin=Opposite/Hypotenuse Cos=Adjacent/hypotenuse and Tan=opposite/Adjacent. So for Sin a the opposite side to angle A is 5. The hypotenuse is always the same which would be 13. So Sin a is 5/13. For cos the side adjacent would be 12. So it is 12/13. *Note Hypotenuse cannot be considered the adjacent.
Answer:
sin A = 5/13, cos A = 12/13, tan A = 5/12, sin C = 12/13, cos C = 5/13, tan C = 12/5
Step-by-step explanation:
According to Pythagoras, hypotenuse = √{(12)^2+(5)^2}. So, hypotenuse = 13. (See picture if confused).
sin A = 5/13
cos A = 12/13
tan A = 5/12
sin C = 12/13
cos C = 5/13
tan C = 12/5
After selling your house and purchasing a new house you have $25,000 left you wish to invest. The first
option you have is a one year T-Bill with a par value of $25,000 which costs $23,250. Your second option
is to invest in a 12 month CD with a 6.5% interest rate. Of these two available options which would allow you to receive a higher rate of return.
Answer:
Of course CD is higher then investing in T-bill
the angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles
Answer:
60–x (smaller )
Step-by-step explanation:
Sum of all 4 angles of a quadrilateral = 360°
(5x-30) + (3x + 60) + (60-x) +(4x+ 50) = 360°
(12x - x) + ( 170 - 30) = 360°
11x + 140 = 360°
11x = 360 - 140 = 220
x = 220/11 = 20°
Each angles is :
5x - 30 = 100 - 30 = 70°
3x+ 60 = 60 + 60 = 120°
60 - x = 60 - 20 = 40°
4x + 50 = 80 + 50 = 130°
Smallest of these angles is 40°
If the half-figure below is reflected over the line of symmetry, what will the completed figure look like?
Answer:
3rd option
Step-by-step explanation:
Answer:
Its the third one because it has equal sides because the others are not.
Step-by-step explanation:
a two digit number has the following properties. If you add the digits together and multiply the result by 10, you will get 9 more than the reverse number? FInd all the possibilities
Answer:
10, 11, 12, 13, 14, 15, 16, 17, 18, 19
Step-by-step explanation:
A two-digit number can be written as:
a*10 + b
Where a and b are single-digit numbers.
a is the tens digit
b is the units digit.
the reverse number is:
b*10 + a
We know that:
"If you add the digits together and multiply the result by 10, you will get 9 more than the reverse number"
Then:
(a + b)*10 = b*10 + a + 9
We now need to solve this for a and b, where the other restriction that we have is that a and b can be any whole number of the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Then:
(a + b)*10 = b*10 + a + 9
a*10 + b*10 = b*10 + a + 9
subtracting b*10 in both sides, we get:
a*10 = a + 9
solving this for a, we get:
a*10 - a = 9
a*(10 - 1) = 9
a*9 = 9
a = 9/9
a = 1
and notice that we do not have any restriction for b. So b can be any number of the set.
for example, if b = 2
a*10 + b = 12
now let's test the property:
10*(1 + 2) = 2*10 + 1 + 9
30 = 20 + 10 = 30
now if b = 4, we have:
a*10 + b = 1*10 + 4 = 14
10*(1 + 4) = 4*10 + 1 + 9
50 = 50
So we can see that for any value of b, this will work.
So the only restriction that we have, is that a must be equal to 1.
Then the numbers are:
10, 11, 12, 13, 14, 15, 16, 17, 18, 19
The possible numbers are 10, 11, 12, 13, 14, 15, 16, 17, 18 and 19
Assume the digits of the two-digit number are x and y, where:
x represents the tensy represents the unitsSo, the original number (n) is:
[tex]n = 10 \times x + y[/tex]
When the digits are added, and multiplied by 10, we have the following equation:
[tex](x + y) \times 10 = 9 + (y \times 10 + x)[/tex]
Expand the equation
[tex]10x + 10y = 9 + (10y + x)[/tex]
Remove bracket
[tex]10x + 10y = 9 + 10y + x[/tex]
Subtract 10y from both sides
[tex]10x = 9 + x[/tex]
Subtract x from both sides
[tex]9x = 9[/tex]
Divide both sides by 9
[tex]x = 1[/tex]
Recall that the number is represented as:
[tex]n = 10 \times x + y[/tex]
So, we have:
[tex]n = 10 \times 1 + y[/tex]
[tex]n = 10 + y[/tex]
This means that, the possible numbers are from 10 to 19
Read more about two-digit numbers at:
https://brainly.com/question/23846183
∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?
Answer:
DEF = 110
Step-by-step explanation:
Supplementary angles add to 180
3x+5 +2x = 180
Combine like terms
5x +5 = 180
Subtract 5 from each side
5x = 175
Divide each side by 5
5x/5 = 175/5
x =35
DEF = 3x+5
= 3*35 +5
= 105+5
= 110
Which of thw following is a result of shifting circle with!!
Answer:
I need more information to answer this
What does l.h.m.s.l.d.k.y mean in text?
Somebody answer ASAP
Simplify please (: !
Answer:
[tex]\frac{a^2^0b^5}{c^5d^3^0}[/tex]
Step-by-step explanation:
When one raises a value to an exponent, one can multiply the current value of the exponent by the number it is raised to. This is the case because raising a value to an exponent is another way of representing that value times itself the number of times that the exponent indicates. Remember, if no exponent is written, then the exponent is (1).
One can apply this here by multiplying every exponent in this problem by (5) since the fraction is raised to the power (5).
[tex](\frac{a^4b}{cd^6})^5[/tex]
[tex]=\frac{(a^4^*^5)(b^1^*^5)}{(c^1^*^5)(d^6^*^5)}[/tex]
Simplify,
[tex]=\frac{a^2^0b^5}{c^5d^3^0}[/tex]
Which one has infinity many solutions
Answer:
The correct options are:
3x - 4y = 15
15x - 20y = 75
(fourth option, counting fom the top)
5x + 6y = 20
-10x - 12y = -40
(last option)
Step-by-step explanation:
A system of linear equations has infinitely many solutions if and only if both equations define the same line.
Then we need to see which option describes twice the same line.
From the given options, the two with infinitely many solutions are:
3x - 4y = 15
15x - 20y = 75
How we check that? remember that we can multiply (or divide) both sides of an equation by the same number, and the equation remains unchanged.
So, if we take the first equation and multiply both sides by 5, we get:
5*(3x - 4y) = 5*15
15x - 20y = 75
Which is the same as the other equation, so both equations describe the same line.
The other system is the last one:
5x + 6y = 20
-10x - 12y = -40
If we take the first equation and multiply both sides by -2, we get:
-2*(5x + 6y) = -2*20
-10x - 12y = -40
So, again, both equations describe the same line.
I am not sure how to solve this 3z-4 and 2z + 5 =
Construct an equation that has k = 9 as its solution. Use k on both sides of the equation.
Answer:
10k ÷ 10 + 1 = k + 1
Step-by-step explanation:
LHS
10k ÷ 10 + 1
10(9) ÷ 10 + 1
90 ÷ 10 + 1
10
RHS
k + 1
9 + 1
10
10k ÷ 10 + 1 = 10
Find the length of the missing side, x. The triangle is not drawn to scale.
13
X
12
Chandni compares two cylinders. Both cylinders have an identical base. The first cylinder has a height of 4 inches and a volume of 120 cubic inches. The second cylinder has a height of 7 inches. What is the volume, in cubic inches, of the second cylinder?
Answer:
33 Cubic inches
Step-by-step explanation:
The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Chandni compares two cylinders. Both cylinders have an identical base.
Now, The first cylinder has a height of 4 inches and a volume of 120 cubic inches.
And, The second cylinder has a height of 7 inches.
Let the volume, in cubic inches, of the second cylinder is, x
Hence, We can formulate;
120 / 4 = x / 7
⇒ 120 × 7 = 4x
⇒ 4x = 840
⇒ x = 210 inches³
Thus, The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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Find the area enclosed by x2=2y and y2=16x
Answer: [tex]\dfrac{32}{3}[/tex]
Step-by-step explanation:
Given
The parabolas are [tex]x^2=2y[/tex] and [tex]y^2=16x[/tex]
Find the point of intersection of two parabolas
[tex]\Rightarrow \left(\dfrac{x^2}{2}\right)^2=16x\\\\\Rightarrow x^4=64x\\\Rightarrow x(x^3-64)=0\\\Rightarrow x=0,4[/tex]
Obtain y using x
[tex](x,y)\rightarrow (0,0)\ \text{and }(4,8)[/tex]
Area enclosed between the two is
[tex]\Rightarrow I=\int\limits^4_0 ({4\sqrt{x}-\dfrac{x^2}{2}}) \, dx\\\\\Rightarrow I=\left ( 4\times \dfrac{2}{3}x^{\frac{3}{2}}-\dfrac{x^3}{2\times 3} \right) _0^4\\\\\Rightarrow I=\left ( \dfrac{8}{3}\times 8-\dfrac{4^3}{6} \right )-0\\\\\Rightarrow I=\dfrac{128-64}{6}\\\\\Rightarrow I=\dfrac{64}{6}\\\\\Rightarrow I=\dfrac{32}{3}[/tex]
Thus, the area bounded by the two parabolas is [tex]\dfrac{32}{3}[/tex] sq. units.
The sum of an arithmetic sequence can be found by the formula Sn = n(2a
+ (n - 1)d). Use the formula to find the sum of first 10 terms of the sequence
{-3.2, 7, 12, 17. 22...)
Step-by-step explanation:
Hey there!
The given series: -3,2,7,12,17,22.....
Common ratio (d) = t2-t1
= 2+3
= 5
No of terms (n) = 10
First term (a) = -3
Now;
[tex]sn = \frac{n}{2} (2a + (n - 1)d)[/tex]
Keeping all values we get;
[tex]s10 = \frac{10}{2} (2 \times - 3 + (10 - 1)5)[/tex]
Simplify it.
[tex]s10 = 5( - 6 + 45)[/tex]
or, S10 = 195.
Therefore, S10 = 195.
Hope it helps!