Answer:
X=1
BD=AC=3(6x-4)=3(6(1)-4)=6
BD=6
Square is a polygon with 4 equal sides. The value of line BD is 6 units.
What is a square?A square is a polygon with 4 sides, such that all the four sides of the polynomial are equal, also all the angles of the square are of 90°.
As it is given that the diagonals of square ABCD intersect at point E. And, we know that the diagonals of the square bisect each other. therefore, we can write,
BD = 2BE
Substituting the values, we will get,
[tex]3(6x-4) = 2 \times(2x+1)\\\\18x-12 = 4x+2\\\\18x-4x = 2+12\\\\14x = 14\\\\x = \dfrac{14}{14}\\\\x = 1[/tex]
Thus, the value of x is 1.
We know that the diagonal of a square are equal, therefore, the value of the diagonal BD can be written as,
[tex]BD = AC = 3(6x-4)[/tex]
Substitute the value of x as 1, therefore, the value of BD can be written as,
[tex]BD = 3[6(1)-4]\\\\BD = 3(6-4)\\\\BD = 3 \times 2\\\\BD = 6[/tex]
Hence, the value of line BD is 6 units.
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estimate the product by first rounding each number to the underlined place value and then multiplying 4.35×38
Okay so I rounded 4.35 to 4.4 and then multiplied 4.4 by 38 and got 167.2
A book contains 256 pages. A school has 48 copies of this book. How many total pages are there in the books?
Answer:
The answer is 12,288
Step-by-step explanation:
Hope this right.But if it's not im so sorry.
Have a nice day :v
Answer:
12,288 pages.
Explanation:
256 • 48 = 12,288
Stephen is testing the difference in means between time it takes to travel school in a bus and time it takes to travel to school in a car. Stephen hypothesizes that it takes more time to travel in a bus. He calculates a p-value of 2%. He concludes at a 1% significance level that the true mean is greater for a bus than a car.
Where did Stephen go wrong in his conclusion? Explain in detail.
Answer:
Kindly check explanation
Step-by-step explanation:
To test for Difference in mean times
Null hypothesis, H0 will be, there is no difference in mean times ; m1 = m2
Alternative hypothesis, there is difference in mean times ; m1 ≠ m2
Decision region :
When p value < α ; reject the Null
Here. ;
Pvalue = 2% = 0.02
α = 1% = 0.01
Pvalue > α
0.02 > 0.01
Since, Pvalue > α ; we do not reject the Null ;
Hence, conclusion should be, there is no difference in mean times of bus and car
Select all of the expressions that are less than 10 2 3 . A. 10 2 3 × 9 10 B. 1 × 10 2 3 C. 10 2 3 × 2 1 3 D. 1 8 × 10 2 3 E. 10 2 3 × 3 5
Answer:
E. 10 2 3 × 3 5
D. 1 8 × 10 2 3
A. 10 2 3 × 9 10
Step-by-step explanation:
10 2/3
A. 10 2 3 × 9 10
Answer = 9 3/5
B. 1 × 10 2 3
Answer = 10 2/3
C. 10 2 3 × 2 1 3
Answer = 24 8/9
D. 1 8 × 10 2 3
Answer = 1 1/3
E. 10 2 3 × 3 5
Answer = 6 2/5
The options with expressions lesser than 10 2/3 are;
E. 10 2 3 × 3 5
D. 1 8 × 10 2 3
A. 10 2 3 × 9 10
Colin invests £100 into his bank account.
He receives 4% per year compound interest.
How much will Colin have after 7 years?
Give your answer to the nearest penny where appropriate.
Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100
=131.59
Find value of x pleaseee
Answer:
Step-by-step explanation:
you can use the side angle side formula ( a form of Law of Cosines)
a^2 = b^2 + c^2 − 2bc cos(A)
where x = a , then
[tex]x^{2}[/tex] = [tex]5^{2}[/tex] +[tex]3^{2}[/tex] - 2*5*3*cos(107)
[tex]x^{2}[/tex] = 25 + 9 - 30 * (-0.292371)
[tex]x^{2}[/tex] = 25 + 9 -8.7711511
x = 5.0228 cm
2. The box plots summarize the number of students at the fall and spring dances. Which statement best describes the data represented in the box plots?
Answer:
See Explanation
Step-by-step explanation:
The question has missing parameters, as the box plot is not given.
So, I will answer the question using the attached box plot.
Basically, the box plot summarizes 5 data which are:
Minimum, Lower quartile, the Median, the Upper quartile and the Range
So, the summary is as follows:
The first dot on the box plot represents the minimum
[tex]Minimum = 2[/tex]
The first line represents the lower quartile
[tex]Q_1 = 3[/tex]
The mid-line represents the median:
[tex]Q_2 = 6[/tex]
The third line represents the upper quartile:
[tex]Q_3 = 8[/tex]
The last dot represents the maximum
[tex]Maximum = 12[/tex]
From the above data, we can also calculate the range.
[tex]Range = Maximum - Minimum[/tex]
[tex]Range = 12 - 2[/tex]
[tex]Range = 10[/tex]
The elephants at the zoo eat 3 2/3 buckets of bananas each day. The zookeeper bought 7 1/3 buckets of bananas. How many days will the bananas last? Write your answer as a fraction or as a whole or mixed number
Answer: 2 days
Step-by-step explanation:
The monkeys eat 3 ²/₃ buckets of bananas each day. Convert this to an improper fraction:
= 3²/₃ = 11/3 buckets per day
The zookeeper bought 7¹/₃ which is:
= 22/3 buckets
To find out the number of days the bananas will last, divide the buckets bought by the buckets eaten per day:
= 22/3 ÷ 11/3
= 22/3 * 3/11
= 66/33
= 2 days
If dividing fractions, multiply by the reciprocal of the second fraction.
Please helppp, its due today and I have a bunch of other stuff to do!! I would appreciate all the help
Answer:
x+8=Y
0,8
1,9
2,10
3,11
4,12
5,13
2x=Y
0,0
1,2
2,4
3,6
4,8
5,10
Step-by-step explanation:
pasar 125.85 metros a gigametros
Answer:
125.85 meter in gigameter = 1.2585 x 10⁻⁷
Step-by-step explanation:
Given:
125.85 meter
Find:
125.85 meter in gigameter
Computation:
1 Gm = 1,000,000,000 m
125.85 meter in gigameter = 125.85 x 10⁻⁹
125.85 meter in gigameter = 1.2585 x 10⁻⁷
A bank manager wants the average time that a customer waits in line to be at most 3 minutes. Customers at the bank have complained about the long wait times. To test whether the average wait time at the bank is greater than 3 minutes, 60 customers were randomly selected as they entered the bank and their wait times were recorded. The mean wait time was 4.7 minutes. A one-sample t-test resulted in a p-value of 0.00031.Which of the following is an appropriate interpretation of the pp-value?A)The probability that the population mean wait time is greater than 3 minutes is 0.00031.B)The probability that the sample mean wait time is greater than 3 minutes is 0.00031.C)If the population mean wait time is greater than 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.D)If the population mean wait time is 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes is 0.00031.E)If the population mean wait time is 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.
Answer:
An appropriate interpretation of the p-value is
E) If the population mean wait time is 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031
Step-by-step explanation:
A one-sample t-test is used for the comparison between the derived mean of the sample data and the a known mean value, given that the population standard deviation is unknown
The P value indicates the likelihood of obtaining a mean with a value difference from the hypothetical mean which is as much as or more than the difference between the observed mean and the hypothetical
Therefore, an appropriate interpretation of the p-value is if the population mean wait time is 3 minutes then the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.
The option E is correct option which is if the population mean wait time is 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.
Given-
For the experiment the total customers were selected is 60.
Mean wait time of the experiment is 4.7 minutes.
T-test result in a p-value is 0.00031.
T-test- this test tell that how significant is the differences between the groups. It means it tell us that if the difference happens by the chance.
The probability that the population mean wait time is greater than 3 minutes is 0.00031-
Now in the given options the option is E is best interpretation of this pp-test. According to option E, the population mean wait time is 3 minutes the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.
When the t test is performed it is all about the chances of the groups of the experiment results. The time which is taken by a customer in real will be more than this time and thus the probability of observing a sample mean wait time of 4.7 min or more is 0.00031 as the test data suggest.
Hence the option E is correct option which is if the population mean wait time is 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.
For more about the wait time follow the link below-
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The student council has $800 to spend on homecoming t-shirts. The number of t-shirts they can buy is a function of the price of the price of the t-shirt p, in dollars, given by n(p)= 800 over p. As p gets larger and larger, what does the end behavior of the function tell you about the situation? *
Answer:
n will get lower and lower
Step-by-step explanation:
In this equation the number of shirts is being multiplied by the price of each individual shirt and ultimately equals a total of $800. This means that the total must always be equal to $800 and cannot surpass it or be blow this value. Therefore, if the value of p gets larger and larger the less the number of shirts (n) that the students will be able to buy. This is the only way for the total cost to remain steady.
PLEASE PLEASE HELP!!
Name a pair of linear pairs (Select all that apply).
1. ∠BAD and ∠JAD
2. ∠BFD and ∠CFE
3. ∠BGH and ∠DGE
4. ∠CFB and ∠CFG
5. ∠FDA and ∠FDE
You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?
Answer: $117,000
Step-by-step explanation:
The maximum that Arianna may borrow is 2.5 times her annual income.
First step therefore, would be to calculate her annual income:
= 900 * 52 weeks
= $46,800
She may borrow 2.5 times this:
= 46,800 * 2.5
= $117,000
Enter the correct answer in the box.
Rewrite the expression
2/07
using rational exponents.
Answer:
2x ^7/4
Step-by-step explanation:
Sorry, no explanation.
The representation of the given expression 2[tex]\sqrt[4]{x^{7}}[/tex] will be 2[tex]x^{7/4}[/tex].
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given expression,
2[tex]\sqrt[4]{x^{7}}[/tex]
Open the radical sign of the above,
2[tex]\sqrt[4]{x^{7}}[/tex] = 2[tex]x^{7/4}[/tex]
Since 7 and 4 are both integers thus they will be rational exponents.
Hence "The representation of the given expression 2[tex]\sqrt[4]{x^{7}}[/tex] will be 2[tex]x^{7/4}[/tex]".
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Someone help out with this problem
Answer:
copying angle C
Step-by-step explanation:
it shows that angle c is being copied
hope it helps
Explain how you would use the Distributive Property to simplify the following expression: 4(c + 8) when c = 2
Answer:
40
Simplified equation:
8+32
Step-by-step explanation:
4(2+8)
x4
8+32
40
What is the value of x?
0 12
O 10
06
08
Answer:
8
total degree inside pentagon is (n - 2) x 180 = 540
180-62 = 118
180-66 = 114
180-77 = 103
180-59 = 121
118+114+103+121 = 456
540 - 456 = 84
84 + 12x = 180
12x = 180-84
x = 96/12
x = 8
The value of x in the given pentagon is 8.
Option D is the correct answer.
What is a Pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
For a pentagon, n = 5, so we have:
total degree = (5 - 2) × 180 degrees
total degree = 3 × 180 degrees
total degree = 540 degrees
Now,
Each angle makes a straight angle.
So,
77 + a = 180
a = 180 - 77 = 103
59 + b = 180
b = 180 - 59 = 121
c + 66 = 180
c = 180 - 66 = 114
d + 62 = 180
d = 180 - 62 = 118
Now,
a + b + c + d + e = 540
103 + 121 + 114 + 118 + e = 540
e = 540 - 456
e = 84
Now,
12x + 84 = 180
So,
12x = 180 - 84
12x = 96
x = 8
Thus,
The value of x is 8.
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HELP HELP HELP PLS
What is the common denominator between 5/7 and 2/6?
What should the renamed numerators be? (Just type the numerator, not the entire fraction).
Answer:
21 is common denominator.
15 and 7 are the corresponding numberators.
Step-by-step explanation:
You multiply the 7 and 6, then apply to the fractions, and slowly reduce until you find a good match.
Answer:
30 and 14
Step-by-step explanation:
5/7 = times by 6 to get 30/42
2/6 = times by 7 to get 14/42
2. Lena can finish 2 math homework problems in 15 minutes. At this rate, how many problems can she finish in 75 minutes? Use the rate table below to find the answer.
10.
Because the ratio is how many problems:How much time so it is 2:15
Multiply each side by 5 10:75
So that means 10 problems in 75 minuets.
HOPE THIS HELPED!!!
Answer:
10
Step-by-step explanation:
Set up the following proportion.
2 questions /15 minutes = x questions / 75 minutes.
Notice that both ratios are set up the same way -- questions / time. All proportions are set up the same way.
Mulltiply both sides by 75
2 * 75 / 15 = x
2 * 5 = x
x = 10
She would be able to solve 10 problems in 75 minutes.
Or D : X=9
Choose one answer pls
Answer:
[tex]x=\sqrt{41}[/tex]
Step-by-step explanation:
Pythagorean theorem: [tex]a^{2}+ b^{2}=c^{2}[/tex]
Answer:
Option B
Step-by-step explanation:
Pythagorean Theron is:
[tex]a^2+b^2=c^2\\\\\text{a and b - legs}\\\text{c - hypotenuse}[/tex]
We would be solving for 'c', or the hypotenuse.
[tex]4^2+5^2=c^2\\\\16+25=c^2\\\\41=c^2\\\\\boxed{\sqrt{41}, -\sqrt{41} =c}[/tex]
The correct answer should be option B.
Hope this helps.
what is 100-A + 20 -70
Answer:
A=50
Step-by-step explanation:
assuming you mean 100-A+20-70=0
you need to solve for A, which means add all your numbers together and isolate A.
-A+50=0
A=50
Answer:
The answer is 50 - a.
Step-by-step explanation:
1) Collect like terms.
[tex] - a + (100 + 20 - 70)[/tex]
2) Simplify.
[tex]50 - a[/tex]
Therefor, the answer is 50 - a.
suppose you have a straightedge and a compass. How can you draw a triangke with sides 7,9 and 12 cm?
Complete description of the algorithm used to construct a triangle if the lengths of three sides are AB = 12, AC = 9 and BC = 7 :
With the straightedge, draw line l.
Draw point A anywhere on this line.
Draw point B on line l, at the distance
from point A.
Using a compass, draw a circle with the center in point A and radius
.
Using a compass, draw a circle with the center in point
and radius
please help me
Draw point A anywhere on this line.
Draw point B on line l, at the distance 12
from point A.
Using a compass, draw a circle with the center in point A and radius
9
Using a compass, draw a circle with the center in point B
and radius 7
Factor the following quadratic expression.
2p2−19p+35
I don't get this
Answer:
(p - 7)(2p - 5)
Step-by-step explanation:
[tex]2 {p}^{2} - 19p + 35 \\ \\ = 2 {p}^{2} - 14p - 5p + 35 \\ \\ = 2p(p - 7) - 5(p - 7) \\ \\ = (p - 7)(2p - 5)[/tex]
!!!!!Which function do i use (COS TAN SIN) and how do i go about it? a walkthrough would be so so so so so so so so appreciated!!!!!!!!!!!!
Answer:
what the said
Step-by-step explanation:
If a rectangle has a length of 3.5 meters and a width of 6.5 meters, what is the perimeter?
Answer:
20 meters it asking my to write more stuff but I don't know
A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3? Enter your answer as a fraction, in simplest form, in the box.
Answer:
The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?
Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So
[tex]\frac{1}{9} + p = 1[/tex]
[tex]p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}[/tex]
The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]
The book store has 4 sections of Marvel comic books and 3 sections of DC comic books. What is the ratio of sections of Marvel comic books to DC comic books?
If mAPW = 20°, then the measure of WPZ is
Answer:
The answer to the question is 20
because angle ZPA is 90°.
So,
It's 90-20 = 70°.
Plz help
What decimal number is equivalent to 42%?
the decimal of 42% is equal to 0,42
