Thus the largest length is 15 inches
Size (l) is 14 inches.
Size (w) = 4 inches.
Height is 4 inches (h).
The distance between one bottom corner and the opposite top corner is known as d. Find s, the diagonal across the bottom of the box, first.
[tex]w^2 + l^2 = s^2[/tex]
Replace the prescribed measures.
[tex]4^2 + 14^2 = s^2[/tex]
Simplify.
[tex]16 + 196 = s^2[/tex]
[tex]21^2= s^2[/tex]
To determine d, use the expression for s.
[tex]h^2 + s^2 = d^2[/tex]
Plug in s2 = 212 and h = 4.
4^2 + 21^2 = d^2
Simplify.
16 + 21^2 = d^2
228 = d2
On both sides, take the square root.
√228 = √d2
15.1 ≈ d
Therefore, the part's maximum possible length was 15 inches.
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Use the arithmetic sequence 12,15,18,21...
what is the equation of the nth term of the sequence
Answer:
The equation of the nth term of the sequence is 3n+9.
Step-by-step explanation:
61.92x5.50 what is it??????????brguquwdw
Answer:
Step-by-step explanation:
340.56
Answer:
61.92 x 5.50 = 340.56
a car travels a distance of 60 miles at an average speed of 30 mph. how fast would the car have to travel for the same 60 mile distance home to average 60 mph over the entire trip?
It is impossible to travel for the same 60-mile distance home to average 60mph over the entire trip.
car travels a distance of 60 miles long and averages 30 miles per hour. As a result,
time = distance/speed = 60/30 = 2
the car traveled for 2 hours.
The car would have to travel for exactly 2 hours (120/60) to average 60 mph over 120 miles.
Because the car has already traveled for two hours, it is impossible for it to average 60 mph for the duration of the journey.
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9a-b-2a-10b simplify this expression
A. -7a+11b
B. 11a+9b
C. -11a-9b
D. 7a-11b
please solve with explanation Q^Q
Step-by-step explanation:
answer is D
if u like it mrk me as brainliest
Answer: d) 7a-11b
Step-by-step explanation:
First collect all like terms
9a - 2a - 10b - b
= 9a - 2a = 7a
= -10b - b = -11b
Therefore the answer is 7a - 11b (D)
Cora is playing a game that involves flipping three coins at once. Let the random variable hhh be the number of coins that land showing "heads". Here is the probability distribution for hhh:.
Cora is flipping three coins at once. The probability that the number of landed coins showing "heads" is less than 3 is 0.875
Probability is a measure how likely an event occurs. Probability of an event A is calculated as:
P(A) = number of ways A can occur / total possible outcomes
Let A and B be independent events, then the followings hold:
P (A and B) = P (A∩B) = P(A) + P(B)
P (A or B) = P (A∪B) = P(A) · P(B)
P (not A) = P(Ā) = 1 - P(A)
In the given problem, H is an event where the number of landed coins showing heads.
The probability distribution for H is:
P(H = 0) = 0.125
P(H = 1) = 0.375
P(H = 2) = 0.375
P(H = 3) = 0.125
The probability of three coins show heads less than 3 is:
P(H < 3) = 1 - P(H=3)
= 1 - 0.125 = 0.875
It can also be obtained using:
P(H<3) = P(H=0) + P(H=1) + P(H=2)
= 0.125 + 0.375 + 0.375
= 0.875
Hence, the probability of three coins show heads less than 3 is 0.875.
Complete question:
Cora is playing a game that involves flipping three coins at once. Let the random variable H be the number of coins that land showing "heads". Here is the probability distribution for H:
P(H = 0) = 0.125, P(H = 1) = 0.375, P(H = 2) = 0.375, P(H = 3) = 0.125. What is the probability H is less than 3.
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Simplify:1/6x+42+2/5x-8/3x-19
Answer:
C; -21/10X + 23
Step-by-step explanation:
Combine like terms and simplify
how many t-shirts and shorts might dalton have bought? select all that apply.
a- 6 t-shirts and 6 pairs of shorts
b- 7 t-shirts and 5 pairs of shorts.
c- 2 t-shirts and 1 pair of shorts.
d- 2 t-shirts and 0 pairs of shorts.
e- 3 t-shirts and 2 pairs of shorts.
Answer:
a.
b.
e.
I think I hope this helps
If the figures below are similar, find the ratio of the sides of Figure B to Figure A.
What is the answer to this question
Answer:141
Step-by-step explanation:
angles 4+2= 78
360-78 = 282
282/2 = 141
4,2 equal 6,8
1,3 equal 5,7
Answer:
m7= 141 degrees ; m5 = 141 degrees
Step-by-step explanation:
m3 + m4 = 180
m3 + 39 = 180
m3 = 180 - 39
m3 = 141 degrees
m3 = m5 = 141 degrees
m4 = m8 = 39 degrees
m3 = m7 = 141 degrees
the lifetime of a certain type of battery is normally dis- tributed with mean value 10 hours and standard deviation 1 hour. there are four batteries in a package. what life- time value is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages?
The total lifetime of all batteries in a package exceeds that value for only 5% of all packs will be 43.29.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
It is given that,
mean,μ=10 hr
standard deviation,σ=1hr
n=4
The lifespan of four batteries combined is,
=4μ
=4×10
=40 hr
z = (x-μ)/σ
1.645=(x-40)/2
x-40=3.29
x=43.29
Thus, the total lifetime of all batteries in a package exceeds that value for only 5% of all packs will be 43.29.
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Identity the domain and the range of each function
a) The domain of the function is {2,3,4,5,6},
The range of the function is {0,1,2,3,4}
b) The domain of the function is {-3,-1,1,3,4}
The range of the function is {1,3,-2,2,6}
Given,
Domain and Range;-
The domain of a function is the set of values that we are allowed to enter into our function. This collection represents the x values in a function like f. (x). A function's range is the set of possible values that it can accept. This collection contains the values that the function returns when we enter an x value.
Here,
a) Domain is the set of x values:
x={2,3,4,5,6}
The range is the set of y values:
y={0,1,2,3,4}
b) Domain is the set of x values:
x={-3,-1,1,3,4}
The range is the set of y values:
y={1,3,-2,2,6}
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a rectangular garden has a length that is six feet more than twice its width. it takes 120 feet of fencing to completely enclose the garden's area. write an equation that could be used to find the width of the garden. clearly define your variable.
Length (L) = 42
Width (W) = 18
and the equation which helps to find the width of the garden is
L = 6 + 2W
Now, we have to find the length and width of the garden area.
It is given that,
we know that the Length is 6 feet more than twice the width, this in other words, it means that:
L = 6 + 2W -------------------------(1)
So, let's denote W as X
The perimeter of the garden is 120 and the expression to calculate is:
P = 2W + 2L ------------------------(2)
Replacing all the values in the above expression we have the following:
120 = 2x + 2(6 + 2x) ---------------------(3)
Solving for x from the above equation (3), we have:
⇒120 = 2x + 12 + 4x
⇒120 - 12 = 6x
⇒108 = 6x
⇒x = 108/6
⇒ x = 18
So the Width is 18, therefore the Length from equation (1):
L = 6 + 2(18)
⇒L = 6 + 36
⇒L = 42
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23. Triangle ABC with vertices A(-7, 1), B(-5, 6), and C(-1, 2): k = 2
The coordinates after scaling of triangle ABC will become -
A'(- 14, 2)
B'(-10, 12)
C'(-2, 4)
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a triangle ABC with vertices A(-7, 1), B(-5, 6), and C(-1, 2) and
K = 2
After scaling, the coordinates will become -
A(x, y) ⇒ A'(Kx, Ky)
The coordinates after scaling of triangle ABC will become -
A'(- 14, 2)
B'(-10, 12)
C'(-2, 4)
Therefore, the coordinates after scaling of triangle ABC will become -
A'(- 14, 2)
B'(-10, 12)
C'(-2, 4)
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Help fast pleaseee thank u
The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy flow is 57%.
What is relative frequency?This refers to how many times a particular type of occasion takes place within the total number of observations. This type of frequency uses percentages, fractions, and proportions.
Formula for calculating Relative Frequency:
Relative Frequency = Count of event
Total number of Observation
From the question:
No of students that like Gym Juice in Elim School =5
No of students that like Energy Flow in Elim School =10
Total Number of students in Elim School =15
No of students that like Gym Juice in Cook Middle School =15
No of students that like Energy Flow in Cook Middle School =20
Total Number of students in Cook Middle School =35
Calculating The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy flow:
Relative Frequency = Count of event
Total number of Observation
Relative Frequency = 20
35
=0.57 or 57%
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Jerry's seed palace claims that 80% of its lima bean seeds will germinate. Suppose the company's claim is true. Callie buys a packet with 20 lima bean seeds from jerry's seed palace and plants them in her garden. What is the probability that exactly 14 seeds will germinate?.
The probability that exactly 14 seeds will germinate is 0.109
According to the company, 80% of lima bean seeds germinate.
Callie purchases 20 lima beans.
To determine: the likelihood that exactly 14 seeds will germinate.
We use the binomial distribution to obtain the required probability when we need to track the success and failure of multiple objects (multiple Bernoulli trials)
Let X be the random variable that tracks the number of seeds that germinate out of a total of 20 seeds. The success rate is 80%, or 0.8.
Thus X ~ B(20,0.8)
The probability of X = x is given by:
P(X=x) = 20[tex]C_{x}[/tex][tex](0.8)^{x}[/tex][tex](1-0.8)^{20-x}[/tex]
Thus
P(X=14) = 20[tex]C_{14}[/tex][tex](0.8)^{14}[/tex][tex](1-0.8)^{20-14}[/tex]
P(X=14) = 38760 × 0.04398 × 0.000064 = 0.109
The probability that exactly 14 seeds will germinate is 0.109
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a study was made on the effects of several health additives for a number of elite runners, the results of a one-way anova are presented in the following table. how many additives were in the study? source df sum of squares ms between 3 55.00 within 15 450.50 total 18 505.50
A total of 14 additives were included here in a study of the effects of various health additives on various top runners.
One-Way ANOVA Test :;Uses one-way analysis of variance (ANOVA) to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups.
Need of One way ANOVA :
When working with individuals, this situation can be encountered using two different types of study designs group. Then have each group perform a different task and measure the outcome/response to the same dependent variable. In the given problem, the term "Between" in the source table refers to processing. The term "within" refers to the error term. The inner term represents the variability that exists between runners. The total number of
additives is one more than his total number of
degrees of freedom (df). Total degrees of freedom for = N – 1. Total degrees of freedom = 18,so N= 19
Hence, total additives for given study is 19.
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Complete Question:
study was made on the effects of several health additives for a number of elite
runners. The results of a One-Way ANOVA are presented in the following table.
how many additives were in the study?
Source। Df Sum of Squares MS
Between 3 55.00
Within 15 450.00
Total 18 505.50
A. 18
B. 19
C. 7
D. 8
A rival company offers you an annual salary of $36,000. Except for the pay, everything is identical between the companies. Do you accept or reject the rival company's offer, and why?
I will have to reject the offer of the rival company since it's lesser than $40560.
How to calculate the amountFrom the information, the person works a basic week of 40 hours and the basic rate is $19.50 per hour. It should be noted that there are 52 weeks in a year. The total amount will be:
= 40 × 19.50 × 52
= $40560
The rival company offers you an annual salary is $36000.
I'll reject the rival company's offer since it's lower.
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Complete question
You work a basic week of 40 hours and your basic rate is $19.50 per hour. A rival company offers you an annual salary is $36.000. Except for the pay, everything is identical between the conpanies. Do you accept or reject the rival company's offer, and why?
An old-fashioned gardener measures the height of a plant as 6 3/8 inches. A week later the height is measured as 8 3/5 inches. How much did the plant grow during the week?
The plant grew by 2 9/40 inches during the week.
What is mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Initial height of plant = 6 3/8 inches
Final height = 8 3/5 inches
Difference in height = 8 3/5 inches - 6 3/8 inches
converting the mixed fraction to improper fraction
8 3/5 = 43/5
6 3/8 = 51/8
43/5 - 51/8
multiply 43/5 by 8/8 and 51/8 by 5/5 so that both fractions have common denominator, it becomes
344/40 - 255/40
Collect only the numerator we have,
344- 255 = 89 which is no 89/40
divided by 40, we have 2 9/40 inches
In conclusion, the plant grew by 2 9/40 inches
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~Hi ❣️ -----------The black graph is the graph of y=f(x). Choose the equation for the red graph. First correct answer gets brainliest!
Answer:
ummm im going to guess c.
Step-by-step explanation:
Select the correct answer from each dropdown menu. Consider this expression. The simplest form of the expression has in the numerator and in the denominator?
The simplest form of the expression has 4 in the numerator and (x-2) in the denominator.
What are numerator and denominator?The numerator indicates the total number of selected equal parts. Whereas, the denominator indicates the total number of equal parts.
We have the expression
3/(x-2) + (x-2) / (x²-4x+4)
Simplifying x²- 4x +4 gives (x-2)².
Therefore, we can write the expression as
3/(x-2) + (x-2)/(x-2)² = 3/(x-2) + 1/(x-2)
= 4/(x-2).
Therefore, the simplest form of the expression has 4 in the numerator and (x-2) in the denominator.
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Evaluate Expressions
Nov 12, 10:01:46 AM
Watch help video
What is the value of the expression below when y = 8?
Answer:
2y - 3
Submit Answ
Answer:
13
Step-by-step explanation:
2y - 3;
y = 8;
---> 2*8 - 3 =
16 - 3 = 13
Use the order of operations to evaluate 14+13(10 − 1).
Answer:
131
Step-by-step explanation:
14+13(10-1)
14+13(9)
14+117
131
Answer:
The solution is 131
Step-by-step explanation:
I think we must prioritize multiplication
14+13(10-1)
= 14+13(9)
= 14+117
= 131
PLS HELP
1) What is the value of x?5(4x+8)=85+5x
2) What is the value of x?x+3x+2x+3(x+1)=30
3)What is the value of x?
3/2-7/4= -9/8
In AMNO, o = 9.4 inches, n = 1.8 inches and ZN=39°. Find all possible values of 20,
to the nearest 10th of a degree
Answer:
No Possible Triangle
Step-by-step explanation:
Sine cannot be greater than 1
No Possible Triangles
Someone please help also can someone tell if the second one is right
a. g(x) is a function that is an output multiple of 3 of f(x), g(x) is {(1, 6), (3, 15), (5, 3)}.
b. g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, f(x) that is {(1, 2), (3, 5), (5, 1)}.
Now g(x) is a function that is an output multiple of 3 of f(x).
∴ g(x) is {(1, 2×3), (3, 5×3), (5, 1×3)}.
g(x) is {(1, 6), (3, 15), (5, 3)}.
g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3 so it is stretched 3 times of the f(x).
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1.
Which set of ordered pairs does not represent
a function?
B
A) (4, 1), (6, 2), (7, 5), (9, 2)
(0, 5), (1, 7), (2, 9), (3, 11)
(-2, 5), (0, 2), (9,-6), (8, 7)
D (5, 5), (6, 10), (10, 15), (5, 20)
D set of ordered pairs does not represent a function.
In the given question we have to check which set of ordered pairs does not represent a function.
The given set of ordered pair
(A) (4, 1), (6, 2), (7, 5), (9, 2)
(B) (0, 5), (1, 7), (2, 9), (3, 11)
(C) (-2, 5), (0, 2), (9,-6), (8, 7)
(D) (5, 5), (6, 10), (10, 15), (5, 20)
As we know that in the function a x value always have only one corresponding y value which means for a value of x have only a y value.
But when we see in the ordered pair D. In this pair have pair (5, 5) and (5, 20). This shows different value of y in same value of x.
So, D set of ordered pairs does not represent a function.
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if you can buy three loaves of bread for 5 dollars, how many loaves can you buy with 12 dollars?
Answer: 20 loaves
Step-by-step explanation:
3/5 = .6
12/.6 = 20
I’m not 100% sure but this is what I believe is the answer
20 Loaves
Graph y=x+4 on a graph
Answer:
Take a look at the attachment...
Hope this helps! :)
y = x + 4
I don't know what I'm suppose to do.
The equation of a line is y = mx +b
m = slope - which is equal to 1
x = x coordinate
b = y intercept (where the line hits the y axis)
y = y coordinate.
The point (2, 0) shows that when x = 2, y = 0. So we can plug that into the equation:
0 = 1(2) + b
0 = 2 + b
0 - 2 = 2 -2 +b
-2 = b
So the equation of the line is y = x - 2
I hope this helps!
September 2022 1 Thursday Twelve large bottles of water cost $9 . What is the cost per bottles of water
Answer:
75 cents
Step-by-step explanation:
If 12 bottles cost $9, in order to find the cost of one bottle we must divide the cost by the number of bottles.
[tex] \frac{9}{12} = 0.75[/tex]
therefore the cost of one bottle is 75 cents