A student calculated that a toy cart would roll 15.6 centimeters before stopping. After conducting an experiment, she found that her calculation had a 30% error. What are two possible values for the actual distance that the toy cart rolled before stopping?
Possible values for the actual distance that the toy cart rolled before stopping with 30% error in the calculation conducted earlier is equal to 10.92centimeters.
As given in the question,
Distance covered by toy cart before stopping =15.6
Percentage of error found in calculation= 30%
30% of 15.6
= (30/100) × 15.6
= 4.68cm
Possible value for the actual distance that toy cart rolled before stopping
= Calculated distance - error distance
= 15.6 -4.68
=10.92centimeters
Therefore, possible values for the actual distance that the toy cart rolled before stopping with 30% error in the calculation conducted earlier is equal to 10.92centimeters.
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A circle has a radius of 23 centimetres.
Work out an estimate for the area of the circle.
Answer: 1.662E-7 square kilometers
Step-by-step explanation:
A circle of radius = 23 or diameter = 46 or circumference = 144.5 cm has an area of: 1.662E-7 square kilometers (km²) 0.1662 square meters (m²)
1. In △NBA, BO is a median. If NO=x+3 and OA=2x-9, what is the value of x?
2.In △MTV, TPis an angle bisector. If m∠MTP=12 and m∠MTV=3x-3, find the value of x.
Answer:
Step-by-step explanation:
1 . In the given triangle ΔNBA BO is a median.
By applying the property of median it divides the opposite side into two equal parts.
Therefore,
NO = OA ...(a)
We have,
NO = x+3 and OA = 2x-9
from (a)
NO = OA
x+3 = 2x-9
∴ 3+9 = 2x-x
∴ x = 12
∴ The Value of x is 12.
Que 2 - In ΔMTV
Given - TP is an angle bisector
m∠MTP = 12 , m∠MTV = 3x - 3.
Ans - TP is an angle bisector which means it divides the angle into two equal parts. (By angle bisector theorem)
∴ m∠MTP = m∠VTP ..... (a)
m∠MTV = m∠MTP + m∠VTP
∴m∠MTV = 2(m∠MTP)
∴3x-3 = 2(12)
∴3x-3 = 24
∴3x = 24 + 3
∴3x = 27
∴ x = 27/3
∴ x = 9
∴ The Value of x is 9.
1-5 Pairs of Angles W.S
The value of x is 26° and y is 9°.
What is linear pair angles ?A pair of neighboring angles created by the intersection of two lines is known as a linear pair of angles. When two angles share a vertex and an arm but do not overlap, they are said to be adjacent angles. Due to their formation on a straight line, the linear pair of angles are always complementary. So, the total of two angles in a pair of lines is always 180 degrees.
The value of x and y are : x= 26° and y= 9°.
As a linear pair, (5x - 17)° + (3x - 11)° = 180°.
or, 8x - 28°= 180°
8x = 180° + 28°
Therefore, the value of x is 26°.
Now,
3x - 11°= 3×26°-11° = 67°
Again,
67°+90°+(2y+5)° = 180° { being linear pair}.
157°+2y+5° = 180°
or, 2y + 162° = 180°
or, 2y = 180° - 162°
y =
Therefore, the value of y is 9°.
The value of x is 26° and y is 9°.
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Help with explaining please thank you
For given triangle, the value of x is 22.
In this question, we have been given three angles of triangle.
We need to find the value of x.
We can observe that (6x - 7)° is an exterior angle.
So, the third angle of the triangle is 180° - (6x - 7)°
We know that the sum of the all angles of the triangle is 180°
2x° + (103 - x)° + [180° - (6x - 7)°] = 180°
2x + 103 - x + 180 - 6x + 7 = 180
2x - x - 6x + 103 + 180 + 7 = 180
-5x + 290 = 180
-5x = 180 - 290
-5x = -110
x = 22
Therefore, for given triangle, the value of x is 22.
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All real number that are less than -3 or greater then or equal to 5
Answer:
If I assume that I can use x to mean "all real numbers that are less than -3 or greater than or equal to 5",
Then I can write this as follows: x<-3 and x>=5
This includes all whole numbers (or integers), all fractions (or rational numbers), and all numbers that cannot be expressed as fractions such as pi, or the square root of 29 (or irrational numbers).
order the quotients from least to greatest ( -6,0,11,-3,-1.5)
(-) these are negative sign
Answer:
-1.5,-3,-16,011
Step-by-step explanation:
that is the answer as u know it has negative sign and -3 is smaller
Answer: -6, -3, -1.5, 0, 11
Step-by-step explanation:.
please help me its in math
Answer:
take x=1
2(1)-y=9
2-y=9
-y=9-2
y= - 7
= (1,-7)
Find "x"
(ignore the writing around it lol)
PLEASE HELP ITS ANNOYING ME
The Value of X = 7.16 ( approximate value)
what is right triangle?A triangle with a right angle (i.e., a 90-degree angle), two perpendicular sides, or both is referred to as a right triangle (American English), a right-angled triangle (British), or more formally as an orthogonal triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.The hypotenuse is the side that is opposite the right angle. Legs are the sides that are close to the correct angle (or catheti, singular: cathetus).A right triangle is considered to be a Pythagorean triangle and its three sides are referred to as a Pythagorean triple if the lengths of all three of its sides are integers.To learn more about : Right-angled triangle
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Helpp explain how you got that answer
Answer:
1
Step-by-step explanation:
Flip 10/25 to become 25/10 and times it by 2/5
Hello! Can you, please, explain how to solve this kind of equation "Find m+n, if P(x) = (2m-4)x^2+(5-n)x+13 is constant polynomial".
The value of m + n from getting the values of m and n from the constant polynomial P(x) = (2m - 4)x² + (5 - n)x + 13 is; 7
What is a constant polynomial?
A constant Polynomial is defined as a polynomial is a function of the form f(x) = a
where a is a real number, whose highest degree is zero.
Thus, examples of constant Polynomials are f(x) = 5, g(x) = -11 , h(y) = 7/4
Now, we are given the polynomial expression;
P(x) = (2m - 4)x² + (5 - n)x + 13
From the definition of constant Polynomials, we can say that;
2m - 4 = 0 and 5 - n = 0
Thus;
m = 2 and n = 5
Then, m + n = 2 + 5 = 7
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Find (g∘w)(x)and (w∘g)(x)for g(x)=7x−4 and w(x)=x2−7x+3(g∘w)(x)=(w∘g)(x)=
In order to calculate the composite function (gow)(x), that is, g(w(x)), we need to use w(x) as the input (value of x) in the function g(x).
So we have:
[tex]\begin{gathered} g(x)=7x-4 \\ g(w(x))=7w(x)-4 \\ g(w(x))=7(x^2-7x+3)-4 \\ g(w(x))=7x^2-49x+21-4 \\ g(w(x))=7x^2-49x+17 \end{gathered}[/tex]Now, calculating (wog)(x), we have:
[tex]\begin{gathered} w(x)=x^2-7x+3 \\ w(g(x))=g(x)^2-7g(x)+3 \\ w(g(x))=(7x-4)^2-7\cdot(7x-4)+3 \\ w(g(x))=49x^2-56x+16-49x+28+3 \\ w(g(x))=49x^2-105x+47 \end{gathered}[/tex]20% of Señora Clara's students are going to Spain for a semester. If 60 students are going to Spain, how many students does Señora Clara have in all?
The number of students in Señora Clara is 300 students
How to calculate the number of students in Señora Clara ?20% of Señora Clara's students are going to Spain for a semester
60 students are going to spain
The number of students in Señora Clara can by first calculating the percent of 20
20/100
= 0.2
Next is to divide 0.2 by 60
60/0.2
= 300
Hence there are 300 students in Señora Clara
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find the value of $a 2 a 4 a 6 \dots a {98}$ if $a 1, a 2, a 3, \dots$ is an arithmetic progression with common difference 1, and $a 1 a 2 a 3 \dots a {98}
value of a2+a4+a6+……+a98 IS EQUAL TO 93.
Given, the common difference (d) =1
Let a1=a Given, a1+a2+……+a98=137
⇒(98/2)(2a+97)=137 [Sn=n/2[2a+(n−1)d]
⇒2a+97=137/49…eq.(1)
a2+a4+…+a98 (n=49 terms)
a2+a4+…+a98=49/2(a2+a98)
a2+a4+…+a98=49/2[(a+1)+a+97]
a2+a4+…+a98=49/2[2a+97+1]
a2+a4+…+a98=49/2[(137/49)+1] [using eq. 1]
a2+a4+…+a98=137/2+49/2
a2+a4+…+a98=186/2 =93
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Only two more questions to go
Algebraic Expression
p is less than s by 40
MATHEMATICALLY
[tex]s - p = 40[/tex]
IT SIMPLY MEANS THAT THE DIFFERENCE BETWEEN s as a large number and p as a small number is 40.
PLS HELP ASAP!!! WILL GIVE BRAINLIEST
Answer:
[tex]a_5 = \frac{17}{20}[/tex]
Step-by-step explanation:
Use the general progression formula where
[tex]d=\frac{3}{20}\\a_n=\frac{1}{4}+\frac{3n-3}{20}[/tex]
Solving this for the 5th term returns the answer
[tex]a_5=\frac{17}{20}[/tex]
His recipe makes 12 hamburger sliders, but he wants to make 78 sliders. The recipe calls for 1 ¾ pound of ground beef to make 12 hamburger sliders. Michael has 7 pounds of ground beef. Does he have enough to make 78 sliders?
Answer:
No, he can only make 48 sliders with 7 pounds of ground beef.
He would need about 12 pounds to make 78 sliders
Step-by-step explanation:
(01.02 MC)
A foreign exchange student from Denmark would like to buy gifts for her family. She finds a special deal, 7 t-shirts for $97.93, that she would like to purchas
her family. However, her family only consists of 5 people. If she wants to purchase 5 t-shirts for her family members at that special rate, what would be the cost c
these t-shirts in her currency of Krona? (Currency conversion rate is 1 U.S. Dollar = 8.6964 Krona)
O121.663 Krona
O 13.99 Krona
O608.313 Krona
O69.95 Krona
The cost c of these t-shirts in her currency of Krona is; C: 608.313 Krona
How to carry out conversion of currency?
We are told that;
A foreign exchange student wants to buy gifts for her family.
She gets a deal at;
7 shirts = $97.93
Now, she wants to buy 5 shirts for her family at that given deal. Thus;
Cost of 5 shirts in dollars = (97.93 * 5)/7 = $69.95
Now, the exchange rate of dollar to krona is given as;
1 U.S. Dollar = 8.6964 Krona
Thus; $69.95 = (69.95 * 8.6964)/1 = 608.313 Krona
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Find the number which divides 167 and 95 leaving 5 as remainder.
Answer:
18
Step-by-step explanation:167-5=162
95-5=90
18is hcf of 162 and 90 then answer is 18
What is the percentile rank of a value with a z-score of 1.33?
The percentile rank of a value with a z-score of 1.33 as given in the task content is; 9.18% (10th percentile).
What is the percentile rank of a value whose z-score is as given in the task content?It follows from the task content that the percentage rank of.the value whose z-score is; 1.33 as in the task content is to be determined.
As evident in the image attached (z-score table) , it can be inferred that a z-score of 1.33 corresponds to 40.82% on the table.
Also, since the z-score is positive, the percentage of data values which are above the z score 1.33 is 50% - 40.82%.
And ultimately, the percentile rank of a value which has a z-score of 1.33 as given in the task content is therefore; 9.18%.
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Suppose that kellogg believes that the average weight for a box of frosted flakes is 18 ounces. As part of a quality control effort, they sample 30 boxes and find that the mean of those 30 boxes is 18. 2 ounces. Historical records show that the standard deviation of the filling process is 0. 32 ounces. How likely is it for the sample mean to have been 18. 2 ounces or larger if the actual mean is 18 ounces and the standard deviation of the filling process is 0. 32 ounces?.
There is a 0.0003 chance that the sample mean was 18.2 ounces or more if the actual mean is 18 ounces.
What exactly is mean?In mathematics, the mean is the average of a set of data, which is calculated by adding all the numbers together and then dividing the result by the total number of numbers. For instance, the mean for the set of data 8, 9, 5, 6, 7 is 7, since 8 + 9 + 5 + 6 + 7 = 35, and 35/5 = 7.So, let Y be a random variable with box weights.
μ = 18 ouncesSD = 0.32 ouncesThese are the sample size and mean:
Sample size (n) = 30Sample mean (y) = 18.2N's standard deviation is then roughly followed by Y ( μ = 18, SD = 0.32).
Z score is displayed as:
[tex]z=\frac{\sqrt{n}(y-u)}{S D}[/tex]Where z has a mean of 0 and a standard deviation of 1 and is a normal standard variable.
Given that the standard deviation is given and that sample size n is 30. y roughly follows the Normal distribution.
If the sample mean was 18.2 ounces or more and the actual mean was 18 ounces, the probability that this was the case is given as:
[tex]\begin{aligned}&P[Y \geq 18.2]=P\left[\frac{\sqrt{n(y-u)}}{S D} \geq \frac{\sqrt{30}(18.2-18)}{0.32}\right. \\&=P\left[z \geq \frac{\sqrt{30}+0.2}{0.32}\right] \\&=P\left[z \geq \frac{1.0954}{0.32}\right] \\&=P[z \geq 3.4233] \\&=0.0003\end{aligned}[/tex]
Therefore, there is a 0.0003 chance that the sample mean was 18.2 ounces or more if the actual mean is 18 ounces.
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i need help on this pls
Answer:
a) No equation/Contradiction
b) One Solution/Conditional
c) Infinite Solutions/Neither
Step-by-step explanation:
a) you combine like terms: 7x+9=7x-8
then subtract 7x from both sides, since 9 isn't equal to -8 there is no solution that would make it a contradiction
b) Combine likes: 13x-7=12x+21
subtract 12 x: x-7=21
add 7: x=14
c) Combine like terms: -3x+24=-3x+24
24=24
Nora loves to play the bridge builders video game, where players gain and lose points by building safe and unsafe bridges. in level 1, nora earned 16 points because her bridge passed inspection. then, she lost 25 points because part of her bridge collapsed! what was nora's score at the end of level 1?
Answer:
-9
Step-by-step explanation:
16-25=-9
Answer: -9
Step-by-step explanation:
Could somebody help me please how did they get this answer
Brainliest to the best answer!!
pls answer asap
and read the description properly
Answer:
see below
Step-by-step explanation:
I need help with this please :D
Answer:
75deg
Step-by-step explanation:
the angle for the entire thing is 131 degrees. Since you are given angle 1 you can subtract that value from the whole to find the remaining degrees. So 131-56=75
please answer question with method
Answer:
£75 > £70 Therefore Sally is wrong.
Step-by-step explanation:
1. First we need to find the volume of the sand pit
60x40x100= 24,000[tex]cm^{3\\[/tex]
Volume= 24,000[tex]cm^{3\\[/tex]
2. We need to convert 8 liters to [tex]cm^{3\\[/tex] so, all the units are the same
1 liter= 1,000[tex]cm^{3\\[/tex]
8 liters= 8,000[tex]cm^{3\\[/tex]
3. We then do 24,000[tex]cm^{3\\[/tex] divide by 8,000[tex]cm^{3\\[/tex] to see how many bags, we need
24,000[tex]cm^{3\\[/tex]/ 8,000[tex]cm^{3\\[/tex] = 30
so, Sally needs 30 bags
4. We know one bag cost £2.50 to know how much 30 bags cost we do
£2.50 x 30 = £75
so, we know 30 bags cost £75
5. Sally statement was said that it would cost less than £70 which is false as it costs £75
6. Therefore the final answer is £75>£70 so Sally is wrong.
Factor out the coefficient of the variable term. -6y - 18
Answer:
-6(y+3)
Step-by-step explanation:
help please!! asap!! will award brainiest