We wish to estimate what percent of adult residents in a certain county are parents. Out of 300 adult residents sampled, 102 had kids. Based on this, construct a 95% confidence interval for the proportion p of adult residents who are parents in this county.
Answer:
The answer is "[tex]0.34 \pm 0.060[/tex]".
Step-by-step explanation:
Point estimate = Sample proportion [tex]= \frac{102}{300}= 0.34[/tex]
For [tex]95\%[/tex] confidence, [tex]z = 1.96[/tex]
Hence,
Margin of error[tex]= 1.96 \times \sqrt{0.34\times \frac{0.84}{300}}=1.96 \times 0.0308 = 0.060[/tex]
Therefore,
Confidence interval in the tri-equality form:
[tex]\to 0.34 - 0.060 < p < 0.34 + 0.060\\\\\to 0.28 < p < 0.4[/tex]
Confidence interval using point estimate and margin of error:
[tex]p = 0.34 \pm 0.060[/tex]
17. Find an equation of the straight line that is perpendicular to x - y = 5 and passes through the point (8, -1).
18. Find the equation of the line in slope-intercept form that passes through the points (12, 4) and (4, 6)
Answer:
17.y=-x+12
18.y=-1/4x+7
Step-by-step explanation:
17.a Solve for y (y=-5+x)
17. b Reciprocal (y=-1x-5)
17. c Subsitute equation into (8,-1) (-1=-13=y=x+12)
18.a Subtract y values and x values= (6-4)/(4-12)=2/-8=-1/4, this will be your slope
18. b Plug in -1/4 into either of the two ordered pairs to find y value=(12,4)=(4=-3)=y value=7.
18. c=y=-1/4x+7
what is the measure of angle A
Answer:
a = 53
Step-by-step explanation:
Start with d
The ends of d + 53 are diameter ends. That means that d + 53 is a right angle
d + 53 = 90
d = 90 - 53
d = 37
Next, find b. The end points of b are the same end points as for 53 degrees. B is the central angle of 53 which means b = 2 * 53
b = 106
c is the supplement of b
c + b = 180
b = 106
c + 106 = 180
c = 180 - 106
c = 74
The triangle containing a and c is isosceles because 2 of the 3 angles are opposite radii. The lowest angle is also a because it is opposite one of the radii.
a + a + 74 = 180
2a = 180 - 74
2a = 106
a = 106/2
a = 53
Hard to believe, but there it is.
Find the value of ‘m’ in 3m+12=15
[tex] \sf3m + 12 = 15 \\ \sf3m = 15 - 12 \\ \sf3m = 3 \\ \sf \: m = \frac{3}{3} \\ \sf \: m \: = \underline{ \bf \: 1}[/tex]
-> Just move all the numbers from the left side to the right side until only the variable is left. Then you can solve the equation & find the required value.
3 m+ 12 = 15
⇔3 m= 3
⇔m= 1
Write the ratio: 3 1/6 to 17/6
as a fraction in lowest terms.
Answer: [tex]\frac{19}{6} : \frac{17}{6}[/tex]
Step-by-step explanation:
Let us first represent the ratio.
3[tex]\frac{1}{6} : \frac{17}{6}[/tex]
Now we need to convert 3[tex]\frac{1}{6}[/tex] into a improper fraction.
[tex]\frac{19}{6} : \frac{17}{6}[/tex]
Now it is in its simplest form.
The final answer is [tex]\frac{19}{6} : \frac{17}{6}[/tex]
Someone please answer B for me 15 Points marking brainliest
Step-by-step explanation:
since you have figured out A already, what is the problem with B ? you "only" need to calculate the perimeter of the shape.
basically the same assumptions as for the area calculations :
the "inner" sides are truly parallel to the line outer sides, so that they are both 12-4=8 m long.
and I assume here in addition that the side with the tiles in front contains a door, which is usually 1 m wide. and for that length we don't need trim of the baseboards (as there are none, where there is a door).
so the needed trim is
12+12+4+8+8+(4-1) = 24+4+16+3 = 47 m
but if my assumption about the door is wrong, then you need to add an additional meter. = 48 m.
and if the side with the tiles does not need any baseboards and corresponding trim at all (for whatever reason), you need to subtract that side completely. = 44 m
find the mean of the following, 1.5 m,1.7 m,1.6 m,1.5m,1.5m.
If the hypotenuse of an isosceles right triangle has a length of 5 centimeters, what is the length of one of the legs?
Select the correct answer.
O 5
O 5V2
O 6/2
O 5V2/2
Answer: D
Step-by-step explanation:
just did it
The length of one of the legs of the isosceles right triangle is, 5 / √2 cm.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The hypotenuse of an isosceles right triangle has a length of 5 centimeters.
Now, We know that;
Two sides of an isosceles triangle are equal.
Let two equal sides of triangle = x
Hence, We get by Pythagoras theorem,
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ 5² = x² + x²
⇒ 25 = 2x²
⇒ x² = 25/2
⇒ x = √(25/2)
⇒ x = 5 / √2 cm
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
In the following diagram, ABCD is a parallelogram. Is AC the bisector of angle BAD? Show calculations and explain
Answer:
yes
Step-by-step explanation:
in parallelogram ,<A=<C
<C=<D
then <D=115=<C=115
X+115+30=180....TRIANGLE THEROME
X=35
so that,<A=65
<C=65
what is the answer?
A. 41°
B. 98°
C. 123°
D. 139°
Answer:
139
Step-by-step explanation:
Supplementary angles add to 180 degrees
BOC + 41 = 180
BOC = 180-41
BOC = 139
I don't need a language ABC
Answer:
yes
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
HURRY PLEASEEEEE!!!!!!
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.
Determine the y-intercept of the quadratic equation Y = x^2 - 4x + 8
9514 1404 393
Answer:
(0, 8)
Step-by-step explanation:
The y-value of the y-intercept is the function value when x=0. That is the constant in the equation, since x=0 will make all of the x-terms be zero.
y-intercept = 8
You are responsible for hiring a company to take care of snow removal in the winter time. Company A charges an annual winter fee of $1050 plus $150 for each snow removal job that they complete. Company B charges no annual winter fee, but $200 for each snow removal job that they complete. a) Determine an equation to represent the cost structure of each snow removal company [KNOW-4 marks] b) Solve the linear system of equations that you created in part a) [KNOW-4 marks] c) How can you decide which company would be hired based on your solution in part b) - provide a detailed explanation for full marks. [COMM-3 marks]
Answer:
1050 + (150)times the amount of jobs they do for you during that winter, for A. 0 + (200)times the amount of jokes they do for you during that winter, for B.
Step-by-step explanation:
Boom I would choose B because it would be cheaper, since we do most of the snow removal ourselves.
Parallel to the line y=-4x-1 and through the origin.
Answer:
y=-4x
Step-by-step explanation:
Parallel to the line, slope is - 4. The equation of line is y=-4x
8. If a prism is 15cm high with its base a triangle having sides 6cm, 8cm and 10cm. Find its volume. (a) 350cm (b) 30cm (c)460cm3 (d)90cm3
Answer:
360cm³
Step-by-step explanation:
Volume of a triangular prism = Base area * Height of prism
Height of prism = 15cm
Base area = 1/2 * 6 * 8
Base area = 24cm²
Volume of the prism = 15 * 24
Volume of the prism = 360cm³
Which linear inequality is represented by the graph?
Answer:
D
Step-by-step explanation:
The correct answer is D
Answer:
D
Step-by-step explanation:
y<2/3 x-1 is the answer
What is the volume of this figure?
Answer:
156.25
Step-by-step explanation:
1/2 × b ×h =12.5
12.5 ×9 =156.25 hope you ace it
volume of a cuboid whose edges are 4 cm, 5 cm and 6 cm
Answer:
120
Step-by-step explanation:
Formula for cuboid: L × W × H
Plug in:
L × W × H
4 × 5 × 6
^ ^
20 × 6
^ ^
120
Hope this helps.
Which equation should you solve to find x?
12
X х
34°
10
Answer:
B
Step-by-step explanation:
sin(theta) = perpendicular/hypotenuse
sin(34)=x/12
Find the missing length.
if 60 = c,
36 = m and
x is the missing length
c² = x . m
3600 = x . 36
x = 3600/36
x = 100
Ming wrote the table of points below.
x
y
5
10
10
20
15
30
Which explains whether or not Ming has described a proportional relationship, and why?
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
Ming has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
Ming has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
Ming has described a proportional relationship because the line does not pass through the or
Answer:
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin
Step-by-step explanation:
Given
x - y
5 - 10
10 - 20
15 - 30
Required
Determine if the data are proportional
The dataset is small; so, we can derive the relationship by observation.
By observing the x and y values, the relationship is:
y = 2x --- i.e. multiply x values by 2.
This is further proven by:
y = 2 * 5 = 10
y = 2 * 10 = 20
y = 2 * 15 = 30
y = 2 * 0 = 0 --- the origin
Hence, the dataset is proportional and it passes through the origin.
Which is the correct answer?
Answer:
a reflection in the y axis followed by a translation 1 unit down
Step-by-step explanation:
Reflection over the y-axis then a unit down
Which transformation gives the same result as a reflection over the x-axis followed b
a reflection over the y-axis?
Answer:
filtration system is not working
filtration
Arrange in descending order.
10,-5,-1, 12, 0, -13
Answer:
12, 10, 0, -1, -5, -13
Step-by-step explanation:
5[tex]\sqrt{37}[/tex] + [tex]\sqrt{98} - 3\sqrt{147}[/tex]
Hello!
[tex] \bf 5 \sqrt{37} + \sqrt{98} - 3 \sqrt{147} [/tex]
[tex] \bf 5 \sqrt{37} + 7 \sqrt{2} - 21 \sqrt{3} [/tex]
I removed the factors from under the radical.
Good luck! :)
Combine and simplify these radicals. 160 40
I AM TIMED!!!
Answer:
200
hope it help
Answer:
160
Step-by-step explanation:
got it right
What is the estimated value of 2v12 . 3V5 / V30 . V36
Answer:
the correct answer is b and I know this because I just had it
[tex]\sqrt[3]{x+1} =2x+2[/tex]
PLEASE HELP! ASAP
Sarah is five years old. When she asked her father about his age, he gave her this answer. "When you are my age, I will be 67." How old is her dad?
Her dad = 36
Sarah = 5
After 31 years sarah = 36
And her dad = 67
Answered by Gauthmath must click thanks and mark brainliest