Answer:
-4 < x < 7
Step-by-step explanation:
Numbers from 1 to 50.
Find the probability of choosing
numbers with last digit 6.
0.1 or 10%
Step-by-step explanation:The numbers between 1 and 50 that end in 6 are as follows:
6, 16, 26, 36, 46
There are therefore 5 numbers between 1 and 50 that end in 6.
This means there are 5 out of 50, or 5/50.
5/50 is 0.1 as a decimal, or 10% in percentage form.
A = {1, 2, 6}
B = {x|x is an odd whole number less than 8}.
Find An B.
Answer:
A∩B = { 1 }
Step-by-step explanation:
Consider the sets :
A = {1, 2, 6}
B = {x ;where x is an odd whole number less than 8}
Suppose the numbers of B are natural numbers (not integers).
Then
B = {1 , 3 , 5 , 7}
We obtain :
A = {1, 2, 6} and B = {1 , 3 , 5 , 7}
The intersection of A and B or the set A∩B :
is the set of the common numbers of A and B.
Then
A∩B = { 1 }
The set A intersection B(or, A∩B) for the given set A and set B exists {1}.
What is A intersection B, (A∩B)?"The set A intersection B(or, A∩B) exists described as the set composed of all elements that belong to both A and B".
The intersection of a set A with a B exists the set of elements that exist in both sets A and B. The intersection exists represented as A∩B.
The intersection of two mathematical objects exists where they overlap. For geometric objects, the intersection exists as a point or group of points where the objects cross.
For numerical or non-numerical sets, the intersection exists every number or object the two sets contain in common.
Given: A = {1, 2, 6}
B = {x | x is an odd whole number less than 8}.
From the above information, we get
⇒ B = {1, 3, 5, 7}
If A = {1, 2, 6} and B = {1, 3, 5, 7}
then A∩B = {1, 2, 6} ∩ {1, 3, 5, 7}
A∩B = {1}
Therefore, the correct answer A∩B exists {1}.
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Find the area and the perimeter of a rectangle with side lengths of 4 1/5in. and 4 2/7 in.
the area is simply the product of its width and length, so hmmm before doing so, let's change all the mixed fractions to improper fractions and then multiply.
\(\stackrel{mixed}{4\frac{1}{5}}\implies \cfrac{4\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{21}{5}} ~\hfill \stackrel{mixed}{4\frac{2}{7}} \implies \cfrac{4\cdot 7+2}{7} \implies \stackrel{improper}{\cfrac{30}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{21}{5}\cdot \cfrac{30}{7}\implies \cfrac{21}{7}\cdot \cfrac{30}{5}\implies \cfrac{3}{1}\cdot \cfrac{6}{1}\implies \text{\LARGE 18}~in^2\)
The area of the rectangle is 18 \(inch^{2}\) and the perimeter is \(16\frac{34}{35}\) inches.
We know that, Area of a rectangle = l * b
and Perimeter of a rectangle = 2(l + b)
Where, l = length of the rectangle
b = breadth of the rectangle
According to the question, l = \(4\frac{1}{5}\) inch = \(\frac{21}{5}\) inch
b = \(4\frac{2}{7}\) inch = \(\frac{30}{7}\) inch
Area of the given rectangle = l* b
= \(\frac{21}{5}\) * \(\frac{30}{7}\)
= 18 \(inch^{2}\)
The perimeter of the given rectangle = 2(l + b)
= 2( \(\frac{21}{5}\) + \(\frac{30}{7}\))
= 2 (\(\frac{297}{35}\))
= \(\frac{594}{35}\)
= \(16\frac{34}{35}\) inch
Hence, the area of the rectangle = 18 \(inch^{2}\)
and the perimeter = \(16\frac{34}{35}\) inch
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y-9=-2(x-8) what is the slope?
Answer:
-2Step-by-step explanation:
Write in slope intercept form.
y - 9 = -2(x - 8)
y - 9 = -2x + 16
y = -2x + 16 + 9
y = -2x + 25
y = mx + b
The m is the slope, b is the y-intercept.
y = -2 x + 25
The slope is -2.
In a survey, the planning value for the population proportion is p*= 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.06? Round your answer up to the next
whole number.
The sample should be taken to provide a 95% confidence interval is 200.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
Confidence is another name for probability in statistics.
Given the planning value for the population proportion,
probability, p = 0.25
q = 1 - p = 1 - 0.25
q = 0.75
margin of error = E = 0.06
value of z at 95% confidence interval is 1.96,
the formula for a sample is,
n = (z/E)²pq
n = (1.96/0.06)²*0.25*0.75
n = 200.08
n = 200 approx
Hence sample size is 200.
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Colton and gage were building a castle together. Colton was 5 times faster at building the castle than gage. If it takes 120 blocks to build the castle, how many blocks did Colton build on the castle?
Based on how Colton built the castle in relation to Gage, and the blocks used to build, the blocks used by Colton was 100 blocks.
How to many blocks were used?Colton built 5 times as fast as Gage did. This means that for every block used by Gage, Colton used 5 blocks.
This means that in the same time, the number of blocks used by both was:
= 5 + 1
= 6 blocks
The number of blocks used by Colton was:
= Number of blocks used by Colton per time / Total blocks used per time x Total blocks to build castle
= 5 / 6 x 120
= 100 blocks
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last year lien earned $1,300 more then get husband. together they earned $58,600. how much did each of them earn?
Answer:
lien earned 29950, husband earned 28650
Step-by-step explanation:
you subtract 1300 from the total then divide by 2 and add the 1300 to liens half.
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse \overline{AC} AC . If AD=44AD=44 and BD=22,BD=22, what is the length of \overline{DC}? DC ?
The length of AD is 1 unit.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let us solve the question
In Δ ABC
∠B is a right angle
BD is perpendicular to the hypotenuse AC
(AB)² = AD × AC ⇒ rule
AB = 3 units
AC = 9 units
Let AD = x
Substitute them in the rule above
(3)² = x × 9
9 = 9x
Divide both sides by 9
x=1
Hence, the length of AD is 1 unit.
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Question
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 3 and AC = 9, what is the length of AD? (Note: the figure is not drawn to scale.)
O
Tom wants to pour 84.99 grams of salt into a container. So far, he has poured. 17.4 grams. How much more salt should Tom pour?
grams
Explanation
Check
X
G
Eple Charter
The remaining amount of salt that Tom needed to pour was 67.59 grams.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The group's total number of items decreases or becomes lower when we subtract from it.
As per the given,
The total amount that Tom needs to pour = 84.99 grams
Amount poured = 17.4 grams
Remaining = 84.99 grams - 17.4 grams = 7.59 grams
Hence "The remaining amount of salt that Tom needed to pour was 67.59 grams".
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write a congruence statement for each pair of congruent figures
Answer:
Triangles are congruent because all the corresponding sides and interior angles are congruent.
Step-by-step explanation: did it help? plz like if did
how can you simplify algebraic expressions
Answer:
Algebraic expressions are simplified by using given operators
like as arithmetic
But in algebraic expression there are terms
10 in.
13 in.
16 in.
What is the Surface area of the triangular prism
Answer:
about 704 in 2
Step-by-step explanation:
surface area-2Ab+Pb*h
=2(13*8)+49.6(10)
=704
Can anyone help me?
Given:
A right angle triangle ABC, right angled at C.
To find:
The measure of θ.
Solution:
In a right angle triangle,
\(\tan \theta=\dfrac{Opposite}{Adjacent}\)
In triangle ABC,
\(\tan \theta=\dfrac{AC}{BC}\)
\(\tan \theta=\dfrac{2.7}{5}\)
\(\tan \theta=0.54\)
It can be written as
\(\theta=\tan^{-1}0.54\)
\(\theta\approx 28.369\)
Therefore, the measure of θ is 28.369.
Solve.
34.2 = 13.4 + 9.6x
Enter your answer as a mixed number in simplest form in the box.
x =
This is a number of parts out of 100, the numerator of a fraction where the denominator is 100
Answer:
percent is that no. as we generally denotes 33 /100 as 33percent
Step-by-step explanation:
A hotel charges its guests a 4% tax. The cost before tax for one guest's stay at the hotel is $375.
How much tax, in dollars, will the guest pay for the stay?
Answer:
I dont know the other homes but this one is $390 ( I think)
Step-by-step explanation:
4% of $375 is $15 so adding $15 on you would get $390.
I really hope this is right. And I hope this helped!
The guest will pay the amount of 15 dollars tax for the stay which is determined by the evaluation of 4% of $375.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that the 4% tax is charged to hotel guests. A single guest's stay at the hotel costs $375 before taxes.
We have to determine the evaluation of 4% of $375.
⇒ 4% of $375
4% is expressed as 4/100 in fractional form
⇒ (4/100)(375)
4/100 is expressed as 0.04 in decimal form
⇒ (0.04)(375)
Apply the multiplication operation, and we get
⇒ 15
Therefore, the guest will pay the amount of 15 dollars tax for the stay.
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6. Joann needs $100 for a class trip. She has already saved $44. She sells
jean passes for $5 each. Which equation shows how many jean passes she
will need to sell?
A) 100 = 5x - 44
B) 100 = 5x + 44
C) 100 = -5x + 44
D) 100 = -5x + (-44)
Answer:
C
Step-by-step explanation:
Hope this helps :)
Brainest pls?
Answer:
answer c I took it got 100%
Rewrite This Integral As An Equivalent Iterated Integral In The Five Other Orders. (Assume Y(X) = Squareroot X And Z(Y) = 8 Y)
The given integral is:
∫ ∫ ( x) ×(8 × (√ x)) dx dy
By changing the order in which we integrate with respect to the variables x and y, we can rewrite this integral as an iterative integral of the other five orders. The other five commands are:
a. ∫ ∫ (√ x) ×(8 × (√t x)) dy dx
b. ∫ ∫ (8 × (√ x)) × (√ x) dx dy
c. ∫ ∫ (8 × (√ x)) × (√ x) dy dx
d. ∫ ∫ (√ x) × (√x) dx (8 × y)
e. ∫ ∫ (√ x) × (√ x) (8 * y) dx
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I need help ASAP !
Please fast ! What mathematical term do we use for the first part of proof ?
Answer:
A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion.The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference.
Its got to be in there.
unit 1 geaometry basics homework 3
midpoint and formulas (-4,6) and (3,-7)
Answer: (-1/2, -1/2)
Please mark me as Brainliest
PLS! Due in 30 Minutes :( Help me with this graphing question. High school level
The set of points related to an exponential function and matched with set of translated points are, respectively:
(x, y) = (- 1, 0.5) → (x', y') = (2, - 1.5)
(x, y) = (0, 1) → (x', y') = (3, - 1)
(x, y) = (2, 4) → (x', y') = (5, 2)
(x, y) = (3, 8) → (x', y') = (6, 6)
(x, y) = (1, 2) → (x', y') = (4, 0)
(x, y) = (- 2, 0.25) → (x', y') = (1, - 1.75)
How to match a set of points related to an exponential function with a set of translated points
According to statemente, we find the case of set of points related to an exponential function and a set of translated points, after a quick inspection we derive the transformation rule:
Horizontal translation: 3 units right, vertical translation: 2 units down.
Now we check the statement on each ordered pair:
(x, y) = (- 1, 0.5):
(x', y') = (- 1, 0.5) + (3, - 2) = (2, - 1.5)
(x, y) = (0, 1):
(x', y') = (0, 1) + (3, - 2) = (3, - 1)
(x, y) = (2, 4):
(x', y') = (2, 4) + (3, - 2) = (5, 2)
(x, y) = (3, 8):
(x', y') = (3, 8) + (3, - 2) = (6, 6)
(x, y) = (1, 2):
(x', y') = (1, 2) + (3, - 2) = (4, 0)
(x, y) = (- 2, 0.25):
(x', y') = (- 2, 0.25) + (3, - 2) = (1, - 1.75)
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7 students are running for student council. how many different ways can their names be listed on the ballot
Step-by-step explanation:
7! = 5040 ways
A number is multiplied by 6, and that product is added to 3. The sun is equal to the product of 3 and 11
Answer:
x = 5
Step-by-step explanation:
3 + x * 6 = 3 * 11
3 + 6x = 33
6x = 30
x = 5
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
5(u-3)-3=-3(-6u+4)-3u
Answer:
u = -3/5
Step-by-step explanation:
5(u-3) - 3 = -3(-6u + 4) - 3u
(5u - 15) - 3 = (18u - 12) - 3u
5u - 18 = 15u - 12
-18 = 10u - 12
-6 = 10u
u = -6/10
u = -3/5
Please help I give 20 points please no fake answers =/
Answer:
1 4/5
Step-by-step explanation:
expand and simplify.
(m–3)(m+2)
Answer:
m^2-m-6
Step-by-step explanation:
(m-3)(m+2)
m^2 +2m-3m-6
m^2-m-6
Answer:
m² - m - 6
Step-by-step explanation:
(m - 3)(m + 2)
each term in the second factor is multiplied by each term in the first factor, that is
m(m + 2) - 3(m + 2) ← distribute parenthesis
= m² + 2m - 3m - 6 ← collect like terms
= m² - m - 6
Which side measures will not make a triangle
With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.
a. 3, 4, 8 - will not make a triangle
3 + 4 = 7 > 8 = false
3 + 8 = 11 > 4 = true
4 + 8 = 12 > 3 = true
b. 7, 6, 12 - will make a triangle
7 + 6 = 13 > 12 = true
7 + 12 = 19 > 6 = true
6 + 12 = 18 > 7 = true
c. 5, 11, 13 - will make a triangle
5 + 11 = 16 > 13 = true
5 + 13 = 18 > 11 = true
11 + 13 = 24 > 5 = true
d. 4, 6, 12 - will not make a triangle
4 + 6 = 10 > 12 = false
4 + 12 = 16 > 6 = true
6 + 12 = 18 > 4 = true
e. 4, 6, 10 - will not make a triangle
4 + 6 = 10 > 10 = false
4 + 10 = 14 > 6 = true
6 + 10 = 16 > 4 = true
Hope this helps!
Elena collects data to investigate the relationship between the number of bananas she buys at the store, , and the total cost of the bananas, . Which value for the correlation coefficient is most likely to match a line of best fit of the form for this situation?
The correlation coefficient that is most likely to match a line of best fit of the form y = mx + b for this situation is of:
0.9.
What is a correlation coefficient?The correlation coefficient is an index that measures correlation between two variables, assuming numeric values between -1 and 1.
If the correlation coefficient is positive, the relation is positive, that is, they are direct proportional. If the correlation coefficient is negative, they are inverse proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship between the two variables is classified as strong.
In the context of this problem, the variables are listed as follows:
Number of bananas bought.Total price of the bananas.The total price increases with the number of bananas bought, and there is a strong positive relationship between these two variables, hence the coefficient should be greater than 0.6 and the correct option is:
0.9.
Missing InformationThe problem is given by the image shown at the end of the answer.
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When 1370 subjects were asked, "On how many days in the past 7 days have you felt lonely?" the mean was 1.5 and the standard deviation was 2.16. The margin of error for a 95% confidence interval for the population mean is 0.12. Construct that confidence interval, and interpret it. The confidence interval goes from nothing to nothing. (Round to two decimal places as needed.)
Answer:
Confidence Interval = (1.41, 1.59)
Step-by-step explanation:
To construct a confidence interval for the population mean, we can use the following formula:
Confidence Interval = sample mean ± (margin of error * standard error)
where the standard error is equal to the standard deviation divided by the square root of the sample size.
Given the information provided, we can calculate the standard error as:
standard error = 2.16 / sqrt(1370) = 0.058
Then, we can calculate the margin of error as 0.12.
Substituting these values into the formula, we get:
Confidence Interval = 1.5 ± (0.12 * 0.058)
Confidence Interval = (1.41, 1.59)
Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.