in a survey of 850 students in a school 90% reported having pets at home. if the margin of error is +3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home
Answer:
86.6% ; 93.4%
Step-by-step explanation:
To obtain the population proportion from the sample, we calculate the confidence interval ;
Confidence interval = phat ± margin of error
Phat = 90% ; margin of error = +3.4%
Hence,
90% ± 3.4%
(90 - 3.4)% ; (90 + 3.4)%
86.6% ; 93.4%
What is his weekly allowance if he ended with $15?
Select an expression that can be used to find the total number of points Simone can earn
Answer:45
Step-by-step explanation:
Determine whether the statement below is true or false boxy is rectangle
x-1 = [tex]\sqrt{x} -1[/tex]
Answer:
[tex]x = 0[/tex] or [tex]x = 1[/tex].
Step-by-step explanation:
Start by adding [tex]1[/tex] to both sides of this equation:
[tex](x - 1) + 1 = (\sqrt{x} - 1) + 1[/tex].
[tex]x = \sqrt{x}[/tex].
If two numbers are equal, their square should also be equal. Therefore, since[tex]x = \sqrt{x}[/tex], it must be true that [tex]x^{2} = (\sqrt{x})^{2}[/tex]. That is: [tex]x^{2} = x[/tex].
Notice that since [tex]x[/tex] is under a square root, the result must ensure that [tex]x \ge 0[/tex].
Subtract [tex]x[/tex] from both sides of the equation:
[tex]x^{2} - x = x - x[/tex].
[tex]x^{2} - x = 0[/tex].
Factor [tex]x[/tex] out:
[tex]x\, (x - 1) = 0[/tex].
Hence, by the Factor Theorem, [tex]x = 0[/tex] and [tex]x = 1[/tex] would satisfy this rearranged equation. Because of the square root in the original equation, these two value must be non-negative ([tex]x \ge 0[/tex]) to qualify as actual roots of that equation.
In this example, both [tex]x = 0[/tex] and [tex]x = 1[/tex] qualify as roots of that equation.
x-1 = \sqrt{x} -1
Math For Solution#BrainliestBunch
Find the length of the arc with central angle of 205° and radius of 7 cm. Use 3.14 for pi(π) and round to the nearest hundredth.
12.52 cm
25.03 cm
87.61 cm
153.86 cm
The length of the arc with a central angle of 205° is 25.03 cm
Length of an arcThe formula for calculating the length of an arc is expressed as:
L = rtheta
Given the following parameters
r = 7cm
theta = 205° = 3.57792 radians
L = 7(3.57792)
L = 25.04544
Hence the length of the arc with a central angle of 205° is 25.03 cm
Learn more on length of an arc here: https://brainly.com/question/2005046
PLEASE HELP!! WILL MARK BRAINLIEST
Answer:
x = 25/2
y = 5
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal when the lines are parallel
4x+8y = 18y
We also know that 18y +90 = 180 since they form a straight line
18y +90 = 180
Subtract 90 from each side
18y+90-90=180-90
18y = 90
y =5
Now we can solve for x
4x+8y = 18y
4x+8y-8y = 18y-8y
4x = 10y
Since y = 5
4x = 10(5)
4x = 50
4x/4 = 50/4
x = 25/2
x = 50/4
find find x in the diagram with angle 56 degree
Please help me to solve this two questions
Answer:
c.8,625grams of flour
4a. X=12
Y=30
Z=60
Step-by-step explanation:
For c. , You have to convert the mixed numbers to fractions.
2¾ cups of flour= 2×4=8
8+3=11
Answer: 11/4 (11 over 4)
You multiply the 2 (whole number) by the 4 (bottom number) and then you get *8*
You then take the 8 (which was your answer) and add 3. This will give you 11
You take the 4 and use it as your denominator (bottom number) for the 11. So no need to find a denominator, because you just use the 4
For the fruit cake, she uses *1½* cups of flour more than carrot cake
Calculation:
1½ converted to an improper fraction= 1×2=2
2+1=3
Answer: 3/2 (3 over 2)
"Customer orders *3* carrot cakes and *4* fruit cakes
How many cups of flour are required to bake for the cakes ordered by the customer?"
11/4÷3= 8,25grams
3/2÷4= 0,375grams
8,25+0,375=8,625grams in total
*Feel free to correct me as I might be wrong!*
Find the distance between points M(-1,-10) and P(-12,-3). Round to the nearest tenth
Answer: Distance = √170
Step-by-step explanation:
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Find the distance between M and P, where:
M (-1, -10)P (-12, -3)[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]Distance = \sqrt{(-3+10)^2+(-12+1)^2}[/tex]
[tex]Distance = \sqrt{(7)^2+(-11)^2}[/tex]
[tex]Distance = \sqrt{49+121}[/tex]
[tex]Distance = \sqrt{170}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
(x₁ , y₁) = (-1 , -10) & (x₂,y₂)=(-12,-3)
Distance = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
[tex]= \sqrt{(-12-[-1])^{2}+(-3-[-10])^{2}}\\\\= \sqrt{(-12+1)^{2}+(-3+10)^{2}}\\\\=\sqrt{(-11)^{2}+(7)^{2}}\\\\= \sqrt{121+49}\\\\=\sqrt{170}[/tex]
= 13.03
= 13
If a circle has a RADIUS of 12 cm, what is the AREA rounded to the nearest tenth?
Step-by-step explanation:
R^2*3,14=12^2*3,14=452,16 làm tròn đến phần mười gần nhất là450
find the missing length indicated
Answer:
x = 240
Step-by-step explanation:
Apply the leg rule to find the value of x.
Leg rule is given as:
Hypotenuse/leg 1 = leg 1/part 1
Hypotenuse = 400
Leg 1 = x
Part 1 = 144
Plug in the known values into the formula
400/x = x/144
Cross multiply
x*x = 144*400
x² = 57,600
Take the square root of both sides
√x² = √57,600
x = 240
I NEEDDDD HELPPPP ITS URGENTTTT!!!!!!
Mr. Denning bought a jacket for $67.50
and a tie for $12.50. If a sales tax of 3%
was added to the price of his purchase,
what was his total bill?
67.50 + 12.50 = 80
80/100 = 0,8 x 3 = 2.4
so, the total bill was 80 + 2.4 = 82.4
hope it helps :)
Classify the following triangle. Check all that apply
Answer: (F)
Step-by-step explanation:
Describe how two column and flowchart proofs are similar?
Answer:
Proofs begin with one or more given statements, which are provided. ... In a two column proof, the statements are written in one column, and the reasons are written next to them in a second column. A flow proof uses a diagram of to show each statement leading to the conclusion
Step-by-step explanation:
1000000+200000=?
fun for me
Answer:
1,200,000
Step-by-step explanation:
hope i helped
Answer:
1.200.000
Step-by-step explanation:
[tex]thankyou[/tex]
What is the y-intercept of the line whose equation is y = –2x + 8?
Answer:
(0,8)
Step-by-step explanation:
y = –2x + 8
The y intercept is found when x =0
y = –2*0 + 8
y = 8
The y intercept is
(0,8)
PLSSS HELPPP
give me the answers and explain
please help (picture) 25 points
Answer:
1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20
2) P = 4(5x-2) = 20x-8
From an 80ft building the angle of elevation of the top of a taller building is 59 degrees and the angle of depression of the base of this building is 65 degrees determine the height of the taller building
Answer:
First we find the distance between the two buildings =
Step-by-step explanation:
[tex] \frac{80}{ \tan(65) } = 37.3 ft[/tex]
then the upper part of the taller building =
[tex]37.3 \times \tan(59) = 62 \: ft[/tex]
Now the total height of the taller building
[tex]80 + 62 = 142 \: ft[/tex]
Connie the fruiterer sells two fruit packs.
Pack 1 : 10 apples and 5 mangoes ($12)
Pack 2 : 15 apples and 4 mangoes ($14.15)
Determine the cost of 1 apple and 5 mangoes.
can a right triangle be obtuse?
If ABCD is dilated by a factor of }, the
coordinate of B' would be:
5
С
4
3
B
2
1
-5
4 3
-2
-10
1
2
3
4
5
-1
A
B' = ([?], [ ]
D
-3
Enter
Answer:
If ABCD is If ABCD is dilated by a factor of }, the
coordinate of B' would be:2
Matching the Meaning of Key Features of a Graph
Match the key aspect of a function's graph with its meaning.
Answer:
a goes to 3
b goes to 4
c goes to 1
d goes to 2
Step-by-step explanation:
just did it right on edge
Divide 360 between Kunal and Mohit in the ratio of 7:8
Answer:
K = 168 M = 192
Step-by-step explanation:
7:8 = 15
?:? = 360
Divide
360 / 15 = 24
Multiply
24 × 7 = 168
24 × 8 = 192
168:192 = 360
So, Kunal gets $168 and Mohit gets $192.
Step-by-step explanation:
Let the common ratio = x
Kunal = 7x
Mohit = 8x
Total value = 360
we know,
7x + 8x = 360
15x = 360
x = 360÷15
x = 24
so,
Kunal = 7x = 7×24=168
Mohit = 8x = 8×24=192
Sheldon is baking 2-inch cookies. He has 3 trays that are the same size. On one tray, he makes 5 rows with 4 cookies in each row. He cannot fit any more cookies on the tray. He fills the second tray completely and only part of the third tray. How many cookies could Sheldon have made?
Answer: Sheldon has made 50 cookies
Step-by-step explanation: for the first test because there are 5 rows and 4 cookies on each row you would multiply 4 times 5. That equals 20. The first tray has twenty and all trays are the same size so if the second one is completely full then it also has twenty. The third one is only half way full meaning twenty divided by two equals ten. Ten is the amount of cookies on the third tray. If you add that all together that is 20+20+10=50
The number of cookies made by Sheldon will be equal to 50.
What is an arithmetic operation?
The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
For the first test, you would multiply 4 by 5 because there are 5 rows and 4 cookies on each row. 20 is the result.
Since all trays are the same size and the first tray has twenty, if the second tray is totally filled, it will also have twenty.
Twenty divided by two equals 10 because the third one is only half full.
There are ten cookies on the third tray.
The total is,
20+20+10 = 50.
To know more about arithmetic operations:
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8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.
Answer:
Heights of 29.5 and below could be a problem.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.
This means that [tex]\mu = 32, \sigma = 1.5[/tex]
There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.
Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 32}{1.5}[/tex]
[tex]X - 32 = -1.645*1.5[/tex]
[tex]X = 29.5[/tex]
Heights of 29.5 and below could be a problem.
What do the graphs of sine and cosine have in common with the swinging you see?
The high and low points repeat in a pattern.
The cycle repeats at equal time intervals.
The swinging motion is smooth, unabrupt.
This is the same pattern in the graphs of sine and cosine. ... The correct answe is - The high and low points repear in pattern and the cycle repeats at equal time intervals. The correct answer: The high and low points repeat in pattern
ok so this... is confusing the hell outta me any help?
Answer:
y = 24
Step-by-step explanation:
The sum of the angles of a triangle is 180
A+B+C = 180
ABC = 60
We know 2x-4 = 60
2x -4+4 = 60+4
2x = 64
x = 64/2 = 32
A = 3x = 3(32) = 962x-4 = 60
B = 60
Using the first equation
96+ 60 +y = 180
156 +y =180
y = 180-156
y = 24