Answer:
[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]
[tex]=(0.5091,0.6001)[/tex]
Lower limit for confidence interval=0.5091
Upper limit for confidence interval=0.6001
Step-by-step explanation:
We have given,
x=254
n=458
Estimate for sample proportion= [tex]\bar p = 0.5546[/tex]
Level of significance is =1-0.95=0.05
Z critical value(using Z table)=1.96
Confidence interval formula is
[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]
[tex]=(0.5091,0.6001)[/tex]
Lower limit for confidence interval=0.5091
Upper limit for confidence interval=0.6001
6. Mr Chua's car consumes petrol at an average rate
of 8 litres daily. Before Mr Chua begins his journey,
he tops up the petrol in his car to 100 litres. Given
that he will next top up the petrol in his car when
there are 20 litres left, form an inequality and solve
it to find the maximum number of days he can travel
before he has to top up the petrol in his car. 10
Answer: He can travel up to 9 days before he has to top up the petrol in his car.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The petrol available (100) minus the amount that his car consumes per day (8x) must be higher to 20 (liters left)
Mathematically speaking:
100- 8x > 20
Where x is the number of days.
Solving for x:
100-20>8x
80 > 8x
80/8> x
10>x
x <10
x must be less than 10 days .
He can travel up to 9 days before he has to top up the petrol in his car.
A rectangular prism has a width of 5 cm, a height of 8 cm and a depth of 2 cm. What is the volume of the
prism?
the volume of the rectangular prism is 80 cubic centimeters.
The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the width is 5 cm, the height is 8 cm, and the depth is 2 cm.
Volume = length × width × height
Substituting the given values into the formula:
Volume = 5 cm × 8 cm × 2 cm
Calculating the multiplication:
Volume = 80 cm³
Therefore, the volume of the rectangular prism is 80 cubic centimeters. This means that the prism can hold 80 units of a cubic centimeter, such as water or any other substance.
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Which of the following is true about translations? Question 2 options: A) Translation changes the lengths of the image. B) Translation creates an image congruent to the given image. C) Translation changes the shape and angles of the image. D) Translation creates an image similar to the given image.
Using translation concepts, it is found that the correct statement is given by:
B) Translation creates an image congruent to the given image.
D) Translation creates an image similar to the given image.
What is a translation?A translation is represented by a change in the image position, keeping the angles and the length's of the sides.
The translated image is congruent and similar to the original image, hence options B and D are correct.
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Answer:
D) Translation creates an image similar to the given image.
Step-by-step explanation:
I NEED HELP PLS IF U HAVE THE WORK PLS PUT IT PLSSSSSS!!!:)
Answer:
33. (2,7) graph's provided
34. g) it goes thru +2 on the y axis and it looks like it has a slope of -1, so -x
35. sorryyyy, i just honestly dont get it
At Sami's Shoe Warehouse, it takes 4 over 5 day to complete 1 over 10 of an order of sneakers. At this rate, how long will it take to complete the entire order of sneakers? (5 points)
6 days
8 days
11 and 1/4 days
12 and 1/2 days
HELP AASAP BRAINLIEST WILL BE AWARDED
Answer:
8 days
Step-by-step explanation:
if it takes 4/5 of a day to complete 1/10 of the order of sneakers, you are trying to determine how long it will take to get to 10/10.
so first we can determine what we have to multiply 1 by to get 10.
the answer is 10, so we can multiple by 10 to determine the amount of days it took:
4/5 x 10 and 1/10 x 10
therefore: 4/5 x 10 = 8
meaning, it would take 8 days to complete an entire order of sneakers.
ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87, and 106°, respectively. Find the measure of the
missing angle
A. 67
B. 74°
C. 80
D. 870
Answer:
A
Step-by-step explanation:
The angles in a quadrilateral add up to 360 degrees.
100 + 87 + 106= 293
360 - 293 = 67
The missing angle is 67°. (A)
EVERY quadrilateral has four inside angles that add up to 360°. It doesn't matter whether the quadrilateral is the size of a strep bacterium or the size of a galaxy. The inside angles always add up to 360°. It's a quadrilateral thing.
In this question, the first three angles add up to (100°+87°+106°) = 293°.
From there, it takes 67° more to get to 360°, so that's what the fourth angle has to be.
Which algebraic expression is a polynomial with a degree of 5?
What are the zeroes of f(x) = x2 − 6x + 8? (1 point) x = −4, 2 x = −4, −2 x = 4, 2 x = 4, −2
Answer:
x = 4 , 2
Step-by-step explanation:
x² - 6x + 8=0
(x -2)(x + 4)=0
x= 4,2
Therefore the zeros of f(x) are 4 and 2.
Hope this helps.
You should draw a line of best fit for a scatter plot if there is no correlation among the data points. True False
Answer:
False
Step-by-step explanation:
N/A
11. The chess club has 50 members. They want to raise $680 for a trip to a competition. The school will give $130. How much must each member pay?
Answer:
$11
Step-by-step explanation:
Total members = 50 , Raised amount = $680
If school gives $130 then all the 50 members will pay the remaining amount.
Remaining amount to be paid by the 50 members = $680 - $130 = $550
50 members = $550
1 member = $550/50
1 member = $ 11 ( Answer)
Write an algebraic rule to describe the translation B(3,2)→ 8'(-5,0).
Answer:
<-8,-2>
Step-by-step explanation:
Answer:
(x - 8, y - 2)
Step-by-step explanation:
x-coordinates:
3 and -5
How do you get from 3 to -5?
You subtract 8
This means:
x - 8
y-coordinates:
2 and 0
How do you get from 2 to 0?
You subtract 2
This means:
y - 2
Put it together:
(x - 8, y - 2)
Therefore, the algebraic rule is subtract 8, subtract 2.
How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2
Answer:
Below.
Step-by-step explanation:
Number is different to the other 2. Its value is +4 because negative 2 squared = + 4.
The other 2 have negative values and -2 = -(2) so they have the same value, -4.
If r = 6 units and h = 13 units , what is the volume of the cylinder shown above? Use 3.14 for pi
Answer:
V= 468 * 3.14 = 1.469.52
Step-by-step explanation:
Volume of a cylinder = π r^2 h
V= 3.14 *6^2 * 13
V= 1469.52 cubic unit
what is another name for the center on the angle
Answer:
Vertex I think
Step-by-step explanation:
what is the value of the expression 3 1/4 - 1 7/8 =
Wich property is represented by the equation shown below? 6 x 3 = 3 x 6 A) Multiplicative inverse property B) Multiplicative identity property C) Associative property of multiplication D) Commutative property of multiplication
Answer:
D) Communicative Property of Multiplication
Please give brainliest -3-
Please help me with the question below
Answer:
A
Step-by-step explanation:
Find the volume of the tank but dont use the height of the tank instead use the height of the water in the tank
Tank is cuboid in shape thus:
Volume=length xwidthxheight
=60in×24in×3in
=4320 cubic inches
note:height is the same as depth
What is a constant of proportionality in the equation 3y equals 2x?
Answer:
y=2/3x (y equals two-thirds x)
Step-by-step explanation:
3y=2x
(divide by 3 on both sides to get just the y value)
3/3y=2/3x
y=2/3x
What is 181.5% of 18?
Answer:
32.67
Step-by-step explanation:
18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.
The solution of expression is,
⇒ 32.67
We have to given that;
To find the value of 181.5% of 18.
Since, To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Hence, We can simplify as;
⇒ 181.5% of 18
⇒ 181.5/100 × 18
⇒ 1.815 × 18
⇒ 32.67
Thus, The solution of expression is,
⇒ 32.67
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Solve the equation: 9k - 2 - 43
Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Answer:
6.0869 mph
Step-by-step explanation:
Nina:
8 km: 45 mins
Jo:
8 km: 49 mins
Speed = distance / time
Speed= 8 / 49
1.) Predict how many times you will roll a number less than 3 if you roll a standard number cube 100 times. Round to the nearest integer, if necessary.
You will roll a number less than 3 about____
times.
2.) you flip a fair coin 28 times. About how many times would you expect heads to appear?
If a fair coin is flipped 28 times then heads should appear about______
times.
Step-by-step explanation:
i dont know one. but number to is 14. hope it helps
What is the angle of rotation from figure D to figure D’ ? Assume that the center of rotation is the origin.
A. 270° clockwise
B. 90° clockwise
C. 90° counterclockwise
D. 180° counterclockwise
Answer:
Option B.
Step-by-step explanation:
We take a point D from the figure attached,
Coordinates for the point D → (-1.5, 3.5)
And coordinates of D' → (3.5, 1.5)
Coordinates of D when rotated about the origin,
Option A. Rotated by 270° clockwise.
Rule to be followed,
D(x, y) → D'(-y, x)
D(-1.5, 3.5) → D'(-3.5, -1.5)
Therefore, Option A. is incorrect
Option B. rotation by 90° clockwise
Rule to be followed
D(x, y) → D'(y, -x)
D(-1.5, 3.5) → D'(3.5, 1.5)
Therefore, Option B. is correct.
Option C. 90° counterclockwise
Rule to be followed,
D(x, y) → D'(-y, x)
D(-1.5, 3.5) → D'(-3.5, -1.5)
This option C is incorrect.
Option D. 180° counterclockwise
Rule to be followed,
D(x, y) → D'(-x, -y)
D(-1.5, 3.5) → D'(1.5, -3.5)
Therefore, option D is incorrect.
Answer:
B. 90 clockwise
Step-by-step explanation:
Alice was flying a kite when a gust of wind caught the kite in a tree. Alice is standing 10 feet from the base of the
tree, looking up at her kite at an angle of 25°. If Alice is 5 feet tall, approximately how high is the kite off of the
ground?
A4.66
B 9.66
C 21.45
D 9.23
Answer:
B. 9.66
Step-by-step explanation:
To find how high the kite is off the ground, we will follow the steps below;
we will use trigonometric ratio to solve the problem. That is;
SOH CAH TOA
sinФ = opposite / hypotenuse
cosФ = opposite / hypotenuse
tanФ = opposite / adjacent
from the diagram below
Ф = 25°
opposite = x
adjacent = 10 feet
The best trig ratio to use is tan
we can now proceed to insert the values into the formula
tanФ = opposite / adjacent
tan 25° = [tex]\frac{x}{10}[/tex]
cross-multiply
x = 10 tan25°
x ≈4.66 feet
height of the kite off of the ground = x + height of Alice
=4.66 + 5
=9.66 feet
Therefore, the kite is 9.66 feet high off of the ground
If Tim Cook, CEO of Apple wants to make a list of the employees who are above 40, what process he will use? Option: 1.Data query 2.data sorting 3.data compiling
directions for constructing the orthocenter of a triangle?
Answer:
6IMRYUr5yt
Step-by-step explanation:
rfuiyrbfbnggrnteetS32
Given what is the domain in set notation? {x|x ∈ R, x ≥ 4} {x|x ∈ R, x ≤ 4} {x|x ∈ R, x ≥ 2} {x|x ∈ R, x ≤ 2}
Answer:
A
Step-by-step explanation:
answer on edg 2020
Be certain you have solved for both variables in the system of equations. Solve the following systems of equations algebraically. Show your work. 5x-y=-5 3x-5y=-3
Answer:
x= 1.27, y= 11.4 (to 3s.f.)
Step-by-step explanation:
5x -y= -5 -----(1)
3x -5y= -3 -----(2)
From (1):
-y= -5x -5
divide by -1 throughout:
y= 5x +5 -----(3)
Subst. (3) into (2):
3x -5(5x +5)= -3
3x -25x +25= -3 (expand)
-22x= -3 -25
-22x= -28
divide by -22 throughout:
x= 1.2727 (5 s.f.)
x= 1.27 (3 s.f.)
subst. into (3):
y= 5(1.2727) +5
y= 11.4 (3 s.f.)
Players on a softball team are randomly given a uniform with a two-digit number on the back. The numbers range from 10 to 99. What is the probability that the number on the uniform will end in 0?
Answer:
1/10 or 10%
Step-by-step explanation:
99 possible numbers starting from 10
1,2,3,4,5,6,7,8,9 does not count
99-9=90
90 numbers total
possible numbers with a 0: 9
9/90 = 1/10 = 10%
Solve for x.
x/3 ≤ −6
x≤−18
x≤−2
x≥−18
x≥−2
Answer:
-The value of [tex]x[/tex]:
[tex]x \leq -18[/tex]
Step-by-step explanation:
-Solve the inequality for [tex]x[/tex]:
[tex]\frac{x}{3} \leq -6[/tex]
-Multiply both sides by the denominator, which [tex]3[/tex]:
[tex]3 \times \frac{x}{3} \leq -6 \times 3[/tex]
[tex]x \leq -18[/tex]
So, the final answer would be [tex]x \leq -18[/tex].
Answer:
[tex]x \leqslant - 18[/tex]
First answer is correct
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \frac{x}{3} \leqslant - 6 \\ 3 \times \frac{x}{3} \leqslant - 6 \times 3 \\ = \: \: \: x \leqslant - 18[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
