Answer:
Look at the relationship.
2.7 is 30 times larger than 0.09 (2.7 / 0.09 = 30)
So the ratio is 0.09:2.7 = 1 :30
You pick a card at random from an ordinary deck of 52 cards. if the card is a diamond, you get some points; if not, you lose 2 points. what value for the diamonds would make the game fair? 12 6 24 3
The value for the diamonds which would make the game of pick a diamond from a deck of 52 cards fair is 6.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
From a card at random from an ordinary deck of 52 cards is picked.If the card is a diamond, you get some points. There are total 13 diamonds in a deck of cards.
Thus, the probability of picking a diamond from 52 cards is,
[tex]P=\dfrac{13}{52}\\P=\dfrac{1}{4}[/tex]
The probability of not picking a diamond from 52 cards is,
[tex]P'=1-\dfrac{1}{4}\\P'=\dfrac{3}{4}[/tex]
If the picked card is not a diamond, then the 2 points are lost. Let X is the score in the game. If the game is fair then the expected value for this should be 0. Thus,
[tex]0=x\times \dfrac{1}{4}+2\times\dfrac{(-3)}{4}\\x=6[/tex]
Hence, the value for the diamonds which would make the game of pick a diamond from a deck of 52 cards fair is 6.
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Answer:
6
Step-by-step explanation:
The answer above is correct.
Simplify the following expression [tex]\sqrt(75)+\sqrt(108)=a\sqrt(b)[/tex] If the expression is simplified completely, what does a equal and what does b equal
Answer:
the answer I got is:
a= 11√3b/b
b= 363/a^2
HELPPPPPPP PLEASE ITS TIMED
In calculating the monthly payment for a loan with an 8.5% interest rate compounded monthly, what value should be used for i, the interest rate per period, as it appears in the following formula? p = p v times startfraction i over 1 minus (1 i) superscript negative n endfraction a. 8.5 b. 0.71 c. 0.085 d. 0.0071
The value of i, the interest rate per period(monthly here) that should be used in the considered formula is given by: Option B: 0.71
How to find the monthly payment?If we're given that:
[tex]P_v[/tex] = present value[tex]P[/tex] = monthly payment to be paidi = interest rate per monthn = number of periods.Then, we get:
[tex]P = P_v\left(\dfrac{i}{1-(1+i)^{-n}}\right)[/tex]
For this case, we're provided that:
i = interest rate per period
And we have:
Interest rate compounding monthly = 8.5%
The interest rates are usually given for annual basis. Since i represents the rate per period, which is monthly here, thus, we will convert the rate 8.5% from annually to monthly.
Since 1 year = 12 months,
so 8.5% per year compounding monthly = (8.5/12)% per month compounding monthly
Thus, i = interest per period = interest per month = 8.5/12≈ 0.71 (in percentage)
Thus, the value of i, the interest rate per period(monthly here) that should be used in the considered formula is given by: Option B: 0.71
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Answer:
Its D :)
Step-by-step explanation:
30 meters is the same as how many feet?
Hint: 1m x 3.3 ft
Round your answer to the nearest tenth.
I need this like right now please
Answer:
32
Step-by-step explanation:
The following triangles are similar. True or False.
Answer:
It would be true
what is the area of 3ft and 12ft?
Answer:
36 ft
Step-by-step explanation:
3 × 12 = 36 ftI hope this helps!
Look at balance scale. If one
balance the scale?
is equivalent to two
what should be added to sides
1)
Side x
Side y
A) One can
B) One ball and one can
C) One ball
D) Two cans and one ball
Answer:
C-One ball
Step-by-step explanation:
Side x- 4
Side Y- 6
Ball equals 2
4+2=6
6=6
Find the approximate unknown angle o using inverse trigonometric ratios (sin-1,cos-1, or tan-1)
Answer:
[tex]\displaystyle 0,1922986515...\pi = \theta \\ 35° \approx \theta[/tex]
Step-by-step explanation:
[tex]\displaystyle sec^{-1}\:1\frac{177}{823} = \theta; 0,1922986515...\pi\:[or\:34,613757274...°] \\ \\ \boxed{0,1922986515...\pi = \theta\:[35° \approx \theta]}[/tex]
OR
[tex]\displaystyle cos^{-1}\:\frac{823}{1000} = \theta; 0,1922986515...\pi\:[or\:34,613757274...°] \\ \\ \boxed{0,1922986515...\pi = \theta\:[35° \approx \theta]}[/tex]
I am joyous to assist you at any time.
A regional transportation authority is interested in estimating the mean number of minutes working adults in the region spend commuting to work on a typical day. A random sample of working adults will be selected from each of three strata: urban, suburban, and rural. Selected individuals will be asked the number of minutes they spend commuting to work on a typical day. Why is stratification used in this situation?
A. To remove bias when estimating the proportion of working adults living in urban, suburban, and rural areas.B. To remove bias when estimating mean commuting time.C. To reduce bias when estimating mean commuting time.D. To decrease the variability in estimates of the proportion of working adults living in urban, suburban, and rural areas.E. To decrease the variability in estimates of the mean commuting time.
Answer:
To reduce bias when estimating mean commuting time
Step-by-step explanation:
Given that the selection of adults is based on the three strata found in the region; urban, suburban, and rural areas where the population and proportion of adults commuting to work is progressively decreasing, using a uniform number or sample size will not increase sample error as there are more commuters in the urban areas than in the suburban or rural areas, likewise, there are more commuters in the suburban area than in the rural areas, and as such the proportion of those sampled in the urban areas should be more than those surveyed in the suburban while those surveyed in the suburban areas should be more than those surveyed in the rural areas to reduce bias when estimating the mean as there will be more general representation.
How many solutions does the equation 4x 8 = −2 − 2 5x have? two one none infinitely many
The equation 4x+8 = -2-2+5x has only one solution x=12.
Given equation is:
4x+8 = -2-2+5x
What is an equation?An equation is an operator (denoted by =) that equates the two expressions.
On bringing variables to the left side and constants on the right side
4x-5x = -2-2-8
-x = -12
x =12
Therefore, the equation 4x+8 = -2-2+5x has only one solution x=12.
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Help Math, Need someone to help with vertical angles
DOWN BELOW
Answer:
x = 25°
Step-by-step explanation:
The angles are equal and opposite. This means that if the top angle is 150°, then the angle at the bottom must be 150° too. However, it is currently 2x° + 100°, which turns it into an equation. So far we have 100° as a known angle, so we subtract that from 150° to get the value of 2x.
2x° = 50
Now we divide 50 by 2, and that gives us 25°.
x = 25°
- Educationist
find the length of the third side. if necessary, write in simplest radical form.
Answer:
10
Step-by-step explanation:
Let x represent the third side
This is a right triangle
In right triangle the sum of square value of both legs is equal to square value of hypotenuse(the third side in this case)
Let x represent the third side
5^2 + 5[tex]\sqrt{3}[/tex]^2 = x^2
25 + 75 = x^2
100 = x^2 find the root for both sides
10 = x
the quotient of a and 5
Answer:
Step-by-step explanation:
For exact divisions such as 10 ÷ 5 = 2, we have an integer as a quotient, and for divisions such as 12 ÷ 5 = 2.4, the quotient is a decimal.
Find the slope of the line through each pair of points.
1) (19,8),(-2, 11)
Answer:
The slope of the line is [tex]-\frac{1}{7}[/tex]
Step-by-step explanation:
The rule of the slope of a line which passes through points
(x1, y1) and (x2, y2) is
[tex]m=\frac{y2-y1}{x2-x1}[/tex]∵ The line passes through points (19, 8) and (-2, 11)
∴ x1 = 19 and x2 = -2
∴ y1 = 8 and y2 = 11
→ Use the rule above to find the slope of the line
∵ [tex]m=\frac{11-8}{-2-19}=\frac{3}{-21}[/tex]
→ Simplify the fraction by divide up and down by 3
∴ [tex]m=-\frac{1}{7}[/tex]
∴ The slope of the line is [tex]-\frac{1}{7}[/tex]
How do I do this? I’m very confused
PLZZ HELP I NEED AN ANESWER QUICK PLSSS
What is the distance between the points(−7, 7) and (−7, 8)?
Answer:
1
hope this helps!! :)
Find the measure of angle m
4. The measure of angle m is 110°
- since the two angles are vertical, they are congruent.
:)
Please solve both. I’ll give brainliest
Answer:
Part a: A square and a rhombus both have sides of equal length.
Let's calculate the length of each side.
[tex]\overline{PL}: \sqrt{(0-5)^2+(3-3)^2}=\sqrt{25+0}=5\\\overline{LA}\sqrt{(5-2)^2+(3-(-1))^2}=\sqrt{3^2+4^2}=5\\\overline{AN}:\sqrt{(2-(-3))^2+(-1-(-1))^2}=\sqrt{25+0}=5\\\overline{NP}:\sqrt{(-3-0)^2+(-1-3)^2}=\sqrt{3^2+4^2}=5[/tex]
All sides measure 5. So it's at least a rhombus (think of a square as a rhombus with extra restrictions).
Part b: A square has extra restriction, more important all angles being 90° and diagonals having the same length. If you discussed about slopes it's easy to see that two sides are horizontal but the other two are NOT vertical. Which might be proof enough.
But the exercise looks about lengths on the plane, so let's measure diagonals.
[tex]\overline{PA}=\sqrt{(0-2)^2+(3-(-1))^2}= \sqrt{2^2+4^2}=\sqrt{20}\\\overline{LN}=\sqrt{(5-(-3))^2+(3-(-1))^2}= \sqrt{8^2+4^2}=\sqrt{80}[/tex]
The two diagonals have different lengths, so the figure cannot be a square.
Brett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20. His sample data has a mean of 295 and a sample size of 50. Which of the following correctly depicts the z-statistic for Brett’s data? –5. 30 –0. 11 4. 28 6. 27.
Z-score of given data comes to be -5.30.
It is given that
Population mean μ= 310
Standard deviation σ= 20
Mean of sample data X= 295
Sample size n= 50
What is z-score?A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
For a hypothesis test
Z-score = (X-μ)/(σ/√n)
Where, X = observed value
μ= mean
σ = standard deviation
n =sample size
Z-score of above data = (295-310)/(20/√50)
Z-score = -5.30
Therefore, Z-score of given data comes to be -5.30.
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Help plsssssssssssss
Answer:
A. Both factors are positve, so the will be positive.
Answer:
A: because a positive with another positive will be a positive :)
Step-by-step explanation:
Give two examples of each type of number: real, natural, integers, rational and irrational.Explain step-by-step how to simplify -5(2x – 3y + 6z – 10)
9514 1404 393
Answer:
real, natural, integers, rational: 2, 3irrational: √2, √3use the distributive propertyStep-by-step explanation:
A) Any positive integer is all of real, natural, integer, and rational. A couple of examples of positive integers are 2, and 3.
Any non-complex number is real: -98.6, +29.7π.
Natural numbers are positive integers: 89, 10103.
Integers are any positive or negative number that has no fractional part. Zero is also an integer. A couple are -3, 0.
A rational number is one that can be expressed as the ratio of two integers. Any finite decimal number and any repeating decimal number are rational numbers. A couple of these are 22/7 and -0.0037285.
An irrational number is a number that cannot be expressed as the ratio of two integers. A cube root of a number that is not a perfect cube will be irrational, for example, The same is true of other roots. √2, ∛-5 are irrational. Pi (π) is a famous irrational number, along with 'e', the base of natural logarithms.
__
B) The terms inside parentheses are unlike, so cannot be combined. The only way this expression can be simplified is by removing the parentheses using the distributive property.
-5(2x -3y +6z -10) = (-5)(2x) +(-5)(-3y) +(-5)(6z) +(-5)(-10)
= -10x +15y -30z +50
MATH HW URGENT!!!
Whoever solves one question at least will be brainliest!!!!
Answer: Equation of the line from D to C is y=2x+6?
Step-by-step explanation: Lines A to B and D to C looks parallel meaning they have the same slope but different Y intercept?
2x + 2y = 0 and y = 2x – 3
I
I need help asap
Answer:
x=1 and y=−1
Step-by-step explanation:
Use substitution in order to solve this.
If necessary, round your answer to the nearest tenth,
Check the picture below.
AngleFBC and AngleCBG are supplements, AngleDBG and AngleDBF are supplements, and AngleCBG Is-congruent-to AngleDBF.
4 lines are shown. A horizontal line with points F, B, G intersects a vertical line with points A, B, E at point B and forms a right angle. Another diagonal line with points D, B, C intersects the other 2 lines at point B between angle F B E and angle A B G. A fourth line intersects 3 lines at points A, C, G.
By the congruent supplements theorem, what can you conclude?
AngleCBG Is-congruent-to AngleDBG
AngleFBC Is-congruent-to AngleDBG
AngleCBG is supplementary to AngleDBF.
AngleFBC is supplementary to AngleDBG.
Answer:
FBC=DBG
Step-by-step explanation:
Edge 2020
Based on the congruent supplements theorem which says that two angles are that are supplements of the same angle are congruent, therefore: ∠FBC ≅ ∠DBG.
What is the Congruent Supplements Theorem?The congruent supplements theorem states that when two angles are congruent or supplements of the same angle, therefore, the two angles can be proven to be congruent angles.
Therefore, from the information given, we can conclude based on the congruent supplements theorem that: ∠FBC ≅ ∠DBG.
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giving brainlist for correct answer. :))
Answer:
Here is the steps. 67.5 cm^3
Step-by-step explanation:
4.5 * 6 = 27
27 * 2.5 = 67.5
Answer:
67.5 cm
Step-by-step explanation:
[tex]4\frac{1}{2}[/tex] × [tex]6[/tex] ×[tex]2\frac{1}{2}[/tex] = [tex]67\frac{1}{2}[/tex] or [tex]67.5[/tex]
At the end of the night, mrs johnson works with the student council to determine their profit on the fundraiser the least popular item was chips in which they sold on 21 bags. the chips cost a total of 48.10
Answer:
21+48.10=69.10
Step-by-step explanation:
21
+
48.10
=
69.10
What is 11/12 minus 1/4?
Answer:
0.6 repeating, or 0.66666666666667
Step-by-step explanation:
remember to find common denominators!
Answer:
2/3
Step-by-step explanation:
To subtract fractions we need a common denominator.
Let's make 1/4 have the same denominator as 11/12.
Multiply by 3 so we get 3/12.
Then we can subtract.
11/12-3/12=8/12
We can simplify this to 2/3
A toy store received a large shipment of toy race cars. The cars come in blue and red. Because the red cars are more popular, the toy store wanted the ratio of red cars to blue cars to be 3:2. If total number of cars received was 40, then how many of the cars were red?
Answer:
24 cars
Step-by-step explanation:
Given
[tex]Red:Blue = 3:2[/tex]
[tex]Cars = 40[/tex]
Required
Determine the number of red cars
Number of red cars is calculated using:
[tex]Red\ Cars = \frac{Red\ Ratio}{Total\ Ratio} * Cars[/tex]
[tex]Red\ Cars = \frac{3}{3 + 2} * 40[/tex]
[tex]Red\ Cars = \frac{3}{5} * 40[/tex]
[tex]Red\ Cars = \frac{3 * 40}{5}[/tex]
[tex]Red\ Cars = \frac{120}{5}[/tex]
[tex]Red\ Cars = 24[/tex]