Answer:
find and interpret the value of × so that t(×) = 114.
the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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find X and Y so that the quadrilateral is a parallelogram 5y 5x 25
x=31
y=5
Explanation
Step 1
if the green angles are equal and the blue angles are equal, then
is is a parallelogram, then
\(\begin{gathered} green\text{ angle} \\ 5y=25 \\ \\ y=\frac{25}{5} \\ \\ y=5 \end{gathered}\)Step 2
blue angles
we do not have the value for the last angle, but we know
" the sum of the internal angles of a quadrilateral = 360
replacin
2 green angles +1 blue angle+5x=360
2*5y+5x+5x=360
\(\begin{gathered} 10y+10x=360 \\ 10x=360-10y \\ x=36-y \\ \text{replace }y=5 \\ x=36-5 \\ x=31 \end{gathered}\)I hope this helps you
PLEASE HELP ME
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions with their simplified forms.
(a) √2 · √8. The simplified surd expression is 4.
(b) √80. The simplified surd expression is 4√5.
(c) √5/√20. The simplified surd expression is 1/2.
(d) √20. The simplified surd expression is 2√5.
What is the simplification of the surd expression?The given surd expression is simplified as follows;
(a) √2 · √8
we can simplify it as;
√2 · √8 = √(2 x 8) = √16 = 4
(b) √80
we can simplify it as;
√80 = √ (16 x 5) = √16 x √5 = 4√5
(c) √5/√20
we can simplify it as;
√5/√20 x √20 / √20
= (√5 x √20 ) /(20)
= √100 / 20
= 10/20
= 1/2
(d) √20
we can simplify it as;
√20 = √4 x √5 = 2√5
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Which equation is correct?
427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
427 × 3 = 400 + 20 × 3 + 7 × 3
427 × 3 = 400 × 3 + 20 × 3 + 7
427 × 3 = 4,000 × 3 + 200 × 3 + 70 × 3
Answer:
A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
Step-by-step explanation:
\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)
Therefore, the first option is correct
I know this is difficult but please. ill give 60 points
Sally is solving the linear equation 13 + 4x - 9 = 7x + 7 -3x. Her final two steps are: 4 + 4x = 4x + 7
4 = 7
Select statement that correctly interprets Sally's solution.
A. The solution is x = 0
B. The solution is the ordered pair (4, 7)
C. There is no solution since 4=7 is a false statement.
D. There are infinitely many solutions since 4 = 7 is a false statement
Answer:
C
Step-by-step explanation:
Sally's solution
4 + 4x = 4x +7
4 = 7
since 4 does not equal 7 this answer is false therefore, C is the correct answer
Answer:
The answer is C. There is no solution since 4 = 7 is a false statement.
Step-by-step explanation:
The given problem is 13 + 4x - 9 = 7x + 7 - 3x.
The simplified version of it is 4 + 4x = 4x + 7.
Taking away the 4x on either side will leave you with 4 = 7.
Therefore, the answer is C. There is no solution since 4 = 7 is a false statement.
5. Given the right triangle JKL, identify the locations of sides j, k, and I in relation to angle L
in terms of opposite, adjacent, and hypotenuse.
HELP
In relation to the angle L of the right triangle the sides are as follows:
l = opposite sidek = hypotenusej = adjacentHow to name the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.
The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.
Let's identify the sides j, k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.
Therefore,
l = opposite sidek = hypotenusej = adjacentThe hypotenuse side is the longest side of a right triangle.
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Which function is linear?
A) y = x^2 + 4
B) 2y = 4x^2
C) 2y = x + 4
D) x^2=2y
Answer:
A
Step-by-step explanation:
its a
Answer:
C) 2y = x + 4
Step-by-step explanation:
all other functions include x²
If CSC theta=29
and pi/2
express SEC theta
a ratio. Sec theta =___
I NEED HELP NOWWWW PLS
The expression for SEC θ as a ratio is 1.0006 : 1 or approximately 1 : 1.
The reciprocal identity of sine states that CSC θ = 1 / SIN θ.
SIN θ = 1 / CSC θ
SIN θ = 1 / 29
SIN θ ≈ 0.0345
Next, we can use the Pythagorean identity of trigonometric functions to find the value of cos θ, which is required to obtain the value of SEC θ using the reciprocal identity of cosine. The Pythagorean identity of trigonometric functions states that SIN² θ + COS² θ = 1.
COS² θ = 1 - SIN² θ
COS θ = √(1 - SIN² θ)
COS θ ≈ 0.9994
Now, using the reciprocal identity of cos, we can obtain the value of SEC θ. The reciprocal identity of cos states that SEC θ = 1 / COS θ.
SEC θ = 1 / COS θ
SEC θ = 1 / 0.9994
SEC θ ≈ 1.0006
SEC θ represents the ratio of the hypotenuse to the adjacent side of a right-angled triangle with an angle θ. In this case, the value of SEC θ is close to 1, indicating that the hypotenuse and adjacent sides of the triangle are approximately of the same length.
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A shipment of 60 inexpensive digital watches, including 9 that are defective,is sent to a department store.The receiving department select's 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective.What is the probability that the shipment will be rejected?
Answer: 0.627 or 62.7 %
Step-by-step explanation:
The probability that shipment will be rejected P(rejected) = 1- probability that shipment will be accepted.
P(rejected)= 1-P(accepted)
P(accepted) is equal to probability when all 10 watches are not defective.
The probability that 1st one randomly selected watches are not defective is 51/60 (51 watches are not defective and 9 are defective)
The probability that 2-nd one randomly selected watches are not defective is 50/59 ( because the total number of the watches now is 1 unit less 60-1=59, and the total number of not defective watches is 1 unit less 51-1=50 units)
The probability that 3rd one randomly selected watches are not defective is 49/58 (49 watches are not defective total number of watches is 58)
Similarly P(4th)= 48/57 P(5th)=47/56 P(6th)=46/55 P(7th)=45/54
P(8th)=44/53 P(9th)=43/52 P(10th)=42/51
So P(accepted)= P(1st)*P(2nd)*P(3rd)*P(4th)*P(5th)*P(6th)*P(7th)*P(8th)*P(9th)*P(10th)=
=51*50*49*48*47*46*45*44*43*42/(60*59*58*57*56*55*54*53*52*51)=
= approx= 0.373
So P(rejected)=1-0.373=0.627
What is the slope of a line that is parallel to the line represented by the equation x - y = 8?
Answer:
Below
Step-by-step explanation:
x - y = 8 find slope of this line , parallel slope is the same
re-arrange the given line equation to y = mx + b form (m= slope)
y = (1) x-8 has slope = 1
DJ has 16 movies, and Three-eighths of them are comedies. How many movies are comedies?
Answer:
16 * 3/8 = 6
6 movies are comedies
Answer: 6 movies are comedies.
Step-by-step explanation:
First expression three-eighths as a fraction then multiply it by the number of movies that DJ has in total.
three-eights = 3/8
3/8 * 16 = 48/8 = 6
HELP PLZZ PLZZ HELP 1ST ONE TO ANSWER GETS BRAINLIEST!!!
Answer:
b
Step-by-step explanation:
g(x)=8x²+5x+6 como se resuelve está operasion
I don't know exactly what you want to know about this operation so I will put multiple answers.
No sé exactamente qué quiere saber sobre esta operación, así que pondré varias respuestas.
x-intercept = Nothing
y-intercept = ( 0 , 6 )
Axis of symmetry = \(-\frac{5}{16}\)
Vertex \((-\frac{5}{16}, \frac{167}{32})\)
Parabola opens up and the Vertex is the minimum
HELP Find the value of x in each case. Picture down below
Answer:
11Step-by-step explanation:
Use the triangle in the middle. It has interior angles:
F = 180 - 147 = 33E = 180 - 4xxUse the sum of the three interior angles and find the value of x:
33 + 180 - 4x + x = 18033 - 3x = 03x = 33x = 11Angle F and G are Colinear pairs
<F=180-147=33°Now we know
Sum of two interior angles=Exterior angle
\(\\ \sf\longmapsto 33+x=4x\)
\(\\ \sf\longmapsto 4x-x=33\)
\(\\ \sf\longmapsto 3x=33\)
\(\\ \sf\longmapsto x=\dfrac{33}{3}\)
\(\\ \sf\longmapsto x=11\)
5. Which graph represents a function?
Answer:
bottom left, the one that looks like a v
Step-by-step explanation:
You can test if something is a function by looking to see if there is a place where an x has 2 ys. if there are 2 ys for an x it is not a function.
Answer:
bottom left
Step-by-step explanation:
Bottom right is not a function because you would get an infinite number of results. It does not exactly map one output of this function.
The top two graphs are incorrect because they have more than 1 output. You can do the Vertical Line test and see that the top two graphs do have more that one output.
In order for it to be a function it has to have one output.
Does synthetic division work for all types of polynomials
Synthetic division is a method for the division of polynomials by a linear factor, it means that it only works for the cases in which the divider is a linear expression such as x+2, x+5, x+7.
It means that the dividend can be any type of polynomial, but the divider must be a linear expression.
the sum of 26 and twice a number is -46 find the number
Answer:
-72
Step-by-step explanation:
Sum is adding so I just did substitution for this. 26+-72=-46 because a positive plus a negative equals a negative.
What is the endpoint of a line segment if the midpoint M( – 3, 4) and the other endpoint is E(7, – 2)?
Answers
(– 13, 10)
(10, – 13)
(– 1, 2)
(2, – 1)
9514 1404 393
Answer:
(-13, 10)
Step-by-step explanation:
If M is the midpoint of segment DE, then ...
D = 2M -E
D = 2(-3, 4) -(7, -2) = (2(-3)-7, 2(4)+2) = (-13, 10)
The other end point is (-13, 10).
How much bigger is the 5 in 35.76 than the 5 in 26.95
The five in 35.76 is 100 times bigger than the five in 26.95.
How to compare the place values?Here we want to compare the values of the 5's in two different numbers, which are 35.76 and 26.95.
To compare them we need to compare the place value in which each five is.
To compare them, just write the numbers but replacing all the other values by zeros:
35.76 = 05.00 = 5
26.95 = 00.05 = 0.05
Now take the quotient of these two, we will get:
5/0.05 = 100
Thus, the 5 in 35.76 is 100 times bigger than the 5 in 26.95.
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What is the inverse
Answer:
Third choice
\(\frac{\sqrt{2x}}{2} + 5, x\ge0\)
Step-by-step explanation:
Definition
An inverse function is defined as a function, which can reverse into another function.
Thus, if we have a function f(x) which evaluates to k at x = a or in other words f(a) = k, then the inverse of that function indicated by f⁻¹(x) will be such that f⁻¹(k) = a. This is the same as stating that f⁻¹(f(a)) = a
In order the find the in verse of a function f(x) the following are the steps
Set y = f(x)Switch x and y Solve for yGiven \(f(x) = 2 \left(x - 5\right)^{2}\), set it equal to y
\(y=2 \left(x - 5\right)^{2}\)
Swap the variables x and y
\(x=2 \left(y - 5\right)^{2}\) ==> \((x - 5)^2 = \frac{x}{2}\)
\(x - 5 = \pm \sqrt\frac{x}{2}}\\\\x = \pm \sqrt\frac{x}{2}} + 5\\\\\)
Solve for y. There are two possible solutions
\(y= \frac{\sqrt{2} \sqrt{x}}{2} + 5 = \frac{\sqrt{2x}}{2} + 5\)
\(y=- \frac{\sqrt{2} \sqrt{x}}{2} + 5\) = \(- \frac{\sqrt{2x}}{2} + 5\)
The only matching choice are choices 1 and 3. In order to determine if it is the first or the third, plug in 0 and see if the inverse value results in a real number
Substituting 0 for x in \(\frac{\sqrt{2x}}{2} + 5\) gives us 0 + 5 = 5 which is a valid real
So the domain of the function are all values ≥ 0
Hence choice 3, not choice 1
Evaluate each expression if a = 1/2 and b=5
8a + 2b
b - 2a
Answer:
8a + 2b is 14 and b - 2a is 4 1/2
Step-by-step explanation:
divide 8 by 2 to get 4 and multiply 2 times 5 to get 10, then add 10 + 4
If b=5 and a is 1/2 then 5 - 1/2 = 4 1/2
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
See
The picture please help test
Answer:
100.3 sqr. units
Step-by-step explanation:
Area of the composite figure = area of parallelogram + area of 2 semicircles
✔️Area of parallelogram = base * height
Base = 10
Height = 5
Area of parallelogram = 10*5 = 50 sqr. units
✔️Area of 2 semicircles = 2(½*πr²)
radius (r) = ½*8 = 4
Area of two semicircles = 2(½*π*4²)
Area of two semicircles = π*16 = 50.3 sqr.
✔️Area of composite figure = 50 + 50.3 = 100.3 sqr. units
Use substitution to find the value of the expression.
1) 4x - 4, when x = 5
2) 7 + m -2, when m = 5
3) 5+5h + 3, when h = 2
4) 3n-6, when n = 4
Answer:
1. 12
2. 10
3. 18
4. 6
Step-by-step explanation:
In Mathematics, substitution is a method used for solving algebraic equation by inputing the values of a given variable.
1) 4x - 4, when x = 5
4(4) - 4 =
16 - 4 = 12
2) 7 + m -2, when m = 5
7 + 5 - 2 =
12 - 2 = 10
3) 5+5h + 3, when h = 2
5 + 5(2) + 3 =
5 + 10 + 3 = 18
4) 3n - 6, when n = 4
3(4) - 6 =
12 - 6 = 6
plz plz pls help pls
Answer:
The second choice.
Step-by-step explanation:
Answer:
52 + 4 = 4 + 52Step-by-step explanation:
Hope that will help youtipler stock dropped $5 monday, rosary $3 Tuesday, and rose $7 Wednesday. what was the net change in price of the stock
Answer:
drooped $1
Step-by-step explanation:
first,dropped $5=(-$5)
second,rosary $3=(-$3)
third,rose $7=(+$7)
solution:
(-$5)+(-$3)+(+$7)
=-$5-$3+$7
=-$8+$7
=-$1
the net change in price of the stock was drooped $1 .
The required net change in the price of the stock is -$1.
Given that,
Tipler stock dropped $5 Monday, rosary $3 Tuesday, and rose $7 Wednesday. To determine the net change in the price of the stock
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
On Monday price dropped by $5 = -$5
On Tuesday price dropped by -$3 = -$3
On Wednesday price rose by $7 = +$7
Net = -5 -3 +7
Net = -$1
Thus, the required net change in the price of the stock is -$1.
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Ann broke up
a large array into two smaller arrays.
The two smaller arrays show 1 X 8 and
4 X 8. What was the large array that
Ann started with?
Answer:
I think. its below
Step-by-step explanation:
1 x 8 = 8
4 x 8 = 32
If Ann broke up a large array into two smaller arrays. The two smaller arrays show 1 X 8 and 4 X 8 then 40 is Anna started array.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
Given,
Ann broke up a large array into two smaller arrays.
Th first smaller array show 1 X 8
The second smaller array show 4 X 8.
First smaller array show 1 X 8
=8
Second smaller array show 4 X 8.
32
Now let us add both the arrays
32+8=40
Hence, 40 is the large array that Ann started.
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Help please QUIcklyyy!!
Step-by-step explanation:
this triangle is a Right angle triangle so we gonna use Pythagoras theorem to find the unknown side the equation for this Triangle
X^2 +Y^2=R^2
X stand for X values (adjacent) and Y(opposite) sthands for Y values why R stand for hypotenuse side
pls help me and I will mark u as brainliest plsss anyone i am beginning you plsss help
Answer:
315°
Step-by-step explanation:
What is the length of a rectangle with width 10 in. and area 97 in.²?
Answer:
9.7
Step-by-step explanation:
97/10= 9.7
formula for rectangle= length x width
area divided by width= 97/10
97/10=9.7
length=9.7
9.7x10=97
Mr. McBean is fencing a rectangular pasture for his horses. What is the area of the pasture that will be used for Mr. McBean’s horses?
Answer:
1125m2
Step-by-step explanation:
25×45=1125m2