Answer:
48 centimeters by 27 centimeters
Step-by-step explanation:
we need the ratio of 16:9
option a) 48:27 ( divide by 3 each side) --> 16:9
EFGH is an isosceles trapezoid. If EG=3y+19 and FH=11y-21, find the value of y.
Answer:
y = 5
Step-by-step explanation:
The diagonals of the isosceles EFGH are equal. Therefore:
EG = FH
EG = 3y + 19
FH = 11y - 21
Thus:
3y + 19 = 11y - 21
Collect like terms
3y - 11y = -19 - 21
-8y = -40
Divide both sides by -8
y = 5
The theoretical probability of an event occurring is 3/4. Fill in the blank with a
number to complete each statement so that it best describes the expected
chances of the event occurring in an experiment. Out of 400 trials, the desired
outcome will occur approximately
times. *
Answer:
300 times
Step-by-step explanation:
Answer:
The answer is out of every 5, the desired out come will be approximately 2 times.
Step-by-step explanation:
The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140
Please solve thank you if so
Answer:
5(3) + i = 30
15 + i = 30
Step-by-step explanation:
The mean amount purchased by a typical customer at Churchill's Grocery Store is $27.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 68 customers, answer the following questions
a. What is the likelihood the sample mean is at least $30.00?
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
c. Within what limits will 90 percent of the sample means occur?
Answer:
a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.
b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00
c) 90% of sample means will occur between $26.1 and $28.9.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]
a. What is the likelihood the sample mean is at least $30.00?
This is 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem, we have that:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30 - 27.5}{0.85}[/tex]
[tex]Z = 2.94[/tex]
[tex]Z = 2.94[/tex] has a pvalue of 0.9984
1 - 0.9984 = 0.0016
0.0016 = 0.16% probability that the sample mean is at least $30.00.
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So
From a, when X = 30, Z has a pvalue of 0.9984
When X = 26.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]
[tex]Z = -1.18[/tex]
[tex]Z = -1.18[/tex] has a pvalue of 0.1190
0.9984 - 0.1190 = 0.8794
0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.
c. Within what limits will 90 percent of the sample means occur?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645
Lower bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = -1.645*0.85[/tex]
[tex]X = 26.1[/tex]
Upper Bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = 1.645*0.85[/tex]
[tex]X = 28.9[/tex]
90% of sample means will occur between $26.1 and $28.9.
You buy cheese in 1 pound bags. The recipe for burritos requires 1.7 ounces of cheese per serving. How many servings can you make?
Find 3.5% of 950 g.
Answer:
33.25 g
Step-by-step explanation:
Answer:
33.25 g
plz refer to the picture
what is the standard form of (6x^2-8x-7)+(8x^2-76x)
Answer: 14x^2 - 84x - 7
====================================================
Explanation:
The like terms 6x^2 and 8x^2 combine to 14x^2
The like terms -8x and -76x combine to -84x
Nothing pairs with the -7, so its stays as is.
Standard form is where we list the terms in decreasing exponent order. We can think of -84x as -84x^1 and the -7 as -7x^0. So 14x^2 - 84x - 7 would be the same as 14x^2 - 84x^1 - 7x^0. The exponents count down: 2,1,0.
The final answer is a trinomial since it has three terms. It is also a quadratic because the degree (highest exponent) is 2.
Need as soon as possible
Answer: 136 square feet
=======================================================
Explanation:
The front face is a triangle with base 6 and height 4.
The area is 0.5*base*height = 0.5*6*4 = 12 square feet
The back face is also 12 square feet since the front and back faces are identical triangles.
So far we have 12+12 = 24 square feet of surface area.
--------------------
The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.
To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.
This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.
So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.
Find the zeros for 2x2−24=26. What is the positive value of x?
Answer:
i think it is 12
Step-by-step explanation:
Please help me! (12 points)
Answer:
4
Step-by-step explanation:
25÷2= 12.50
So it would be 4 because you are trying to find the price (p) for the boots (b)
Answer:
c is correct answer is yes then please
The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12 13 , and the y-coordinate is negative.
This question is incomplete, the complete question is;
The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12/13 , and the y-coordinate is negative.
Answer: P( x, y ) = ( -5/13, 12/13 )
Step-by-step explanation:
Given that;
p( x, y ) is on the unit circle,
Radius of the circle must be 1
so the equation x² + y² = r²
x = 12/13 and r = 1
(12/13)² + y² = 1²
y² = 1 - (12/13)²
y = √ [ 1 - (12/13)² ]
y = ±5/13
since the y-coordinate is negative y = -5/13
Therefore, P( x, y ) = ( -5/13, 12/13 )
7(5a − 4) = 14 − 8a + 1
Answer:
a = 1
Step-by-step explanation:
7(5a − 4) = 14 − 8a + 1
Distributive property ( multiply what is inside the parenthesis by 7)
7 * 5a - 7 * 4 = 14 - 8a + 1
35a - 28 = 14 - 8a + 1
Combine like terms
35a - 28 = 15 - 8a
Add 8a on both sides
35a + 8a - 28 = 15 - 8a + 8a
43a - 28 = 15
Add 28 on both sides
43a - 28 + 28 = 15 + 28
43a = 43
Divide by 43 on both sides to isolate the variable
43a/43 = 43/43
a = 1
Check
7(5a − 4) = 14 − 8a + 1
Just substitute the "a" with "1"
7(5 * 1 − 4) = 14 − 8 * 1 + 1
35 - 28 = 14 - 8 + 1
7 = 7 CORRECT
Hope this helped!
have a supercalifragilisticexpialidocious day!
A bouncy ball is dropped such that the height of its first bounce is 6 feet and each successive bounce is 72% of the previous bounce's height. What would be the height of the 6th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:1.2
Step-by-step explanation:
The height of the 6th bounce of the ball will be 1.2 feet.
What is geometric sequence?
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
[tex]T_{n} =ar^{n-1}[/tex]
Where,
[tex]T_{n}[/tex] is the nth term.
r is the common ratio
a is the first term
According to the given question.
During the first bounce, height of the ball from the ground, a = 6 feet
And, the each successive bounce is 72% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
= 72% of 6
= [tex]\frac{72}{100} (6)[/tex]
= 0.72 × 6
= 4.32 feet
During the third bounce, the height of ball from the ground
= 72% of 4.32
= [tex]\frac{72}{100} (4.32)[/tex]
= 3.11 feet
Like this we will obtain a geometric sequence 6, 4.32, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.72
Therefore,
The sixth term of the geometric sequence is given by
[tex]T_{6} = 6(0.72)^{6-1}[/tex]
[tex]T_{6} =6(0.72)^{5}[/tex]
[tex]T_{6} = 6 (0.193)[/tex]
[tex]T_{6} = 1.16 feet[/tex]
[tex]T_{6} = 1.2[/tex] feet
Hence, the height of the 6th bounce of the ball will be 1.2 feet.
Find out more information about geometric sequence here:
https://brainly.com/question/11266123
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Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 181618161816 students at Franklin High School.
Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?
Answer:
46701813038
Step-by-step explanation:
500 is 37% of what number
A 37
B 74
C 185
D 370
Answer:
C i guess
Step-by-step explanation:
9(x-4) -7x=32-2(x+8)
Answer:
x=13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
using distributive property:
9x-36-7x=32-2x-16
2x-36=16-2x
4x=52
x= 13
plz brainliesttt
Please help me I will give you 10 points
Answer
Multiply 8 and 4
Step-by-step explanation:
start from left to right so you wanna start by dividing and multiplying first in evaluating
xy^2-x^2y
x= -1
y= -2
Answer:
xy(x-1y)
Step-by-step explanation:
xy^2-x^2y
=solution,
taking common
xy(x-1y)
4(-3)(-2)
How do
I do this?
Answer:
4(-3)(-2) = 24
Step-by-step explanation:
first solve the numbers in parenthesis.
4(-3)(-2)
= 4(6)
the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.
now solve for 4(6).
4(6) = 24
i really need help on this problem! reply asap!!!
Mr. Marcus is splitting a huge new pack of colored pencils equally among 25 students after splitting the pencils he has 4 left if there were 429 colored pencils to begin with how many did each student receive
Answer:
hIm so sorry for that other person they did the same thing to my answer and a bunch of other people too iecked there account and reported him many times so sorry but can give you the answer :)
Its 17 if i id math correctly! sorry bout the other person have a great day
Step-by-step explanation:
A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the following probability distribution. 2 3 Result of a spin .x Probability : 0.50
(a) Find and interpret the mean of X.
(b) Find and interpret the standard deviation of x.
(c) It costs a player $5 for a single spin. The player will receive (in dollars) three times the number that appears. So the profit for one play of this game is Yeur 5. What is the mean and standard deviation of 7
Distribution table :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
Answer:
1.85 ; 1.014 ;` 0.55 ; 3.042
Step-by-step explanation:
Probability distribution :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
The mean: E(x) = Σ(X * p(x))
(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)
= 1.85
Standard deviation = sqrt(Var(x))
Var(x) = Σ(x²*p(x)) - E(x)²
Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2
= 4.45 - 3.4225
= 1.0275
Standard deviation = sqrt(1.0275)
Standard deviation = 1.0136567
Standard deviation(X) = 1.014
3.)
Cost of spin = $5
Amount, y to be received = 3 times the number that appears
y = 3x - cost of playing
y = 3x - 5
E(y) = E(3x - 5)
E(y) = E(3x) - 5
Recall :E(x) = 1.85
E(y) = 3(1.85) - 5
E(y) = 0.55
Standard deviation :Sd(y) =
Sd(3x - 5)
3(1.014)
= 3.042
Suppose you saved $300 dollars from a summer job. If school starts September 1, can you afford a cell phone data plan of $29.95 per month for the next year(until next September 1)?
Answer:
No
Step-by-step explanation:
Given that:
Amount saved = $300
Monthly data cost = $29.95
Number of monthly data that can be done from saving :
= amount saved / monthly data cost
= $300 / $29.95
= 10.016694
Hence, saving can only last for 10 months of data subscription.
Hence it can't last till September 1, if the following year, which is about 12 months
Jenna wants to rent a mountain bike by the week. Identify the independent variables that affect the total rental cost.
Answer:
2845
Step-by-step explanation:
que porcentaje de 108 es 81?
PLZ HELP!!
What quadrant is (0, 4)
A.1
B.2
C.3
D.4
E.x-axis
F.y-axis
Answer:
F.y-axis
Step-by-step explanation:
y axis is the answer because 0 is starting.
The given point
(0,4)
is on the positive segment of the y-axis.
Good afternoon guys! Can anyone help me with this?
Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question
Step-by-step explanation:
-4/7p + (-2/7p) +1/7
Answer:
-6/7p+1/7
Step-by-step explanation:
5. Following data indicates the number of vehicles arrived during past
100 days in a certain tolling station.
Vehicles
No. of days
0 - 10
3
10 - 20
14
20 - 30
53
30-40
20
40 - 50
10
Calculate average number of vehicles in a day,
Answer:
what are you supposed to do here?
Step-by-step explanation: