Answer:
x-7>0
Straight answer: x-7
Step-by-step explanation:
Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0
7. A shopkeeper can buy 36 toys for $20.52. What will be
for 120 toys?
Answer:
$68.40
Step-by-step explanation:
Let x represent the required cost.
Since the number of toys is directly proportional to the cost:
x : $20.52 = 120 : 36
i.e. x/$20.52 = 120/36
x = ([tex]\frac{120 * $20.52}[/tex])/36
x = $2462.40/36
x = $68.40
Hope this helps!!!
PLEASE HELP
What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)
x y
2 3
4 5
6 7
8 9
Initial value: 1, rate of change: 2
Initial value: 1, rate of change: 1
Initial value: 2, rate of change: 2
Initial value: 3, rate of change: 2
PLEASEEEEEEEEEEEEEEEEEEEEEE URGENT HELP I HAVE NO IDEA!LIKE ALWAYS I WILL MARK CORRECT ANSWER AS BRAINLIEST!
PLEASEEEEE CHECK MY OTHER QUESTION AS WELL AFTER THIS ONE THANK YOU I WOULD REALLY APPRECIATE IT!!!!
HORIZONTAL Options: (a) 2 units left. (b)2 units right. (c)1 unit left. (d)1 unit right.
VERTICAL TRANSLATION of OPTIONS: (a) 2 units up (b) 2 units down (c) 1 unit up (d) 1 unit down
30 POINTS EVERYONE AND BRAILIEST IF IT IS CORRECT PLS AND THANK YOU
Answer:
Vertical: 2 units down
Horizontal: 1 unit left
Step-by-step explanation:
X +/- numbers: means it will go up or down
If its parentheses then it is the opposite
assume that for a particular group of students, the events is a senior and is female are independent. If 30% of the students are seniors and 54% of the students are female, what is the probability of being a female senior?
Answer:
C
Step-by-step explanation:
If 30% of the entire population of students are seniors, then this will apply to the female population as well. This means that the probability of being a female senior is 30% * 54%=0.3*0.54=0.162=16.2%, or answer choice C. Hope this helps!
There are 130 people in a sport centre.
76 people use the gym.
60 people use the swimming pool.
32 people use the track.
23 people use the gym and the pool.
8 people use the pool and the track.
20 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Answer:
7/130Step-by-step explanation:
Using set notation to answer the question. let:
n(U) be the total people in a sport centre =130
n(G) be number of people that use the gym. = 76
n(P) be number of people that use the swimming pool. = 60
n(T) be number of people that use the track = 32
n(G∩P) be number of people that uses the gym and the pool = 23
n(P∩T) be number of people that uses the pool and the track = 8
n(G∩T) be number of people that uses the gym and the track = 320
n(G∩P∩T) be number of people that uses all three facilities = 6
Using the relationship below;
n(U)= n(GUPUT)+n(GUPUT)'
where n(GUPUT)' is the number of people that doesn't use any facility.
Before we can get that, we need to know n(GUPUT) using the formula;
n(GUPUT) = n(G) + n(P)+n(T)-n(G∩P)-n(P∩T)-n(G∩T)+n(G∩P∩T)
n(GUPUT) = 76+60+32-23-8-20+6
n(GUPUT) = 123
n(GUPUT)' = n(U)- n(GUPUT)
n(GUPUT)' = 130 - 123
n(GUPUT)' = 7
This means that 7 person doesn't use any facility.
Probability that a person selected at random doesn't use any facility = n(GUPUT)' /n(U) = 7/130
I need help on the fraction part
Answer:
3 1/7 units
Step-by-step explanation:
(im assuming that 22/7 is what it's being converted here lol) basically what you would do is turn this in to a mixed fraction. You look at how many sevens can go into 22. In this case, three "sevens" would go into 22 (7x3=21). Since we have one left over, it would go over the 7! So that final answer would be 3 1/7!
It’s the math question please help
Answer:
-22, 4, -27, 2
Step-by-step explanation:
-10 + (-12) = -10 - 12 = -22
-3 + 7 = 4
-11 - 16 = -27
-13 - (-15) = -13 + 15 = 2
Answer:
-22 4 -27 2
Step-by-step explanation:
-10 + (-12) = -22
-3 + 7 = 4
-11 - 16 = -27
-13 -(-15) = 2
Can someone please please help me
if your have 4096 cube
A) find the maximum dimensions of a cube u can make?
B) the big cube in a) is re-arrange into a cuboid which has a 4 cube height and a square base area, what is the maximum area of cuboid base
Answer:
a) [tex]\sqrt[3]{4096} = 16[/tex]
b) 4096/ 4 = 1024
Step-by-step explanation:
A box contains 5 yellow balls, 3 blue, and 1 red ball. Two balls are drawn at random. Find the probability that the two balls are yellow
Answer:
5/18
Step-by-step explanation:
5/9 times 1/2
5/18
I may be wrong sorry
simplify the expression (3+8i) - (4+2i) pls show work!
Subtract like terms:
3 -4 = -1
8i - 2i = 6i
The answer is -1+6i
The triangles are congruent by SSS and HL. Triangles R S T and V W X are shown. Triangle R S T can be rotated about point S and then shifted down and to the left to form triangle V W X. Which transformation(s) can be used to map △RST onto △VWX? reflection only translation only reflection, then translation rotation, then translation
Answer:
rotation then translation
Based on the information given regarding the triangle, the transformations that can be used to map △RST onto △VWX is D. rotation, then translation.
What is a congruent triangle?It should be noted that a congruent triangle simply means when two triangles have the same sides and the same angles.
Since Triangle RST can be rotated about point S and then shifted down and to the left to form triangle VWX, the transformations that can be used to map △RST onto △VWX is rotation, then translation.
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Answer:
x = ±11
Step-by-step explanation:
x^2 = 121
Take the square root of each side
sqrt(x^2) = ±sqrt(121)
x = ±11
Suppose A and B are independent events. If P(A) = 0.3 and P(B) = 0.45, what is
P(A n B)?
Answer:
D
Step-by-step explanation:
P(A n B) given A and B are independent events is P(A) * P(B)
The probability of intersection of event A and B is 0.135, the correct option is D.
What is Probability?Probability is the study of chance of an event to happen.
A and B are two independent events.
P(A) = 0.3
P(B) = 0.45
P(A ∩ B) = P(A) * P(B)
P(A ∩ B) = 0.3 *0.45
P(A ∩ B) = 0.135
Therefore, the probability of intersection of event A and B is 0.135, the correct option is D.
To know more about Probability
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The rectangle has rotational symmetry of order
The rectangle's rotational symmetry occurs for angles of
degrees
Answer:
2
180 and 360
Step-by-step explanation:
We conclude that the angle of rotational symmetry is 180°.
How to get the angles of rotational symmetry for a rectangle?
For any regular shape that has internal angles measuring θ, the angles of rotational symmetry of that figure are:
A = n*θ
Where n is an integer number (different than zero, because that is the trivial case).
For the case of the rectangle not all the sides measure the same thing, we have internal angles of 90° and opposite sides measure the same.
So we only have rotational symmetry for each two internal angles (2*90° = 180°).
So we conclude that the angle of rotational symmetry is 180°.
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What dose point a represent on the graph
Answer:A point can represent a piece of data or an (x,y) value.
Step-by-step explanation:
Find the midpoint of the line segment with end coordinates of: (-3,-1)and(-4,2)
Give coordinates as decimals where appropriate.
Answer:
The answer for this question is (-3.5,0.5)
Find the area of the triangle. Round your answer to the nearest tenth.
A) 101.3 m^2
B) 58.5 m^2
C) 29.3 m^2
D) 50.7 m^2
Answer:
A
Step-by-step explanation:
A computer manufacturer estimates that its cheapest screens will last less than 2.8 years. A random sample of 61 of these screens has a mean life of 2.4 years. The population is normally distributed with a population standard deviation of 0.88 years. At α=0.02, what type of test is this and can you reject the organization’s claim using the test statistic?
Answer:
The test is left - tailed
We cannot reject the organization's claim ( its cheapest screens will truly last less than 2.8 years)
Step-by-step explanation:
Sample size, n = 61
Sample mean, [tex]\bar{X} = 2.4[/tex]
Standard deviation, [tex]\sigma = 0.88[/tex]
Significance level, α=0.02
Null hypothesis, [tex]H_{o} : \mu = 2.8[/tex]
Alternative hypothesis, [tex]H_{a} : \mu < 2.8[/tex]
It is clearly seen from the alternative hypothesis, that it is a left tailed test. It is not tailed towards the two directions.
Calculate the test statistic:
[tex]Z = \frac{\bar{X} - \mu}{\sigma/\sqrt{n} } \\Z = \frac{2.4 - 2.8}{0.88/\sqrt{61} }\\Z = - 3.55[/tex]
Calculate the P-value:
P(Z < -3.35) = 0.0002
Since (p-value = 0.0002) < (α=0.02), the null hypothesis is rejected.
It can therefore be concluded that the mean of the cheapest screen is less than 2.8 years. i.e. the cheapest screen will last less than 2.8 years
Answer:
The null and alternative hypotheses:
H0: u = 2.8
H1: u < 2.8
This is a left - tailed test.
For test statistics, use the formula:
[tex] Z = \frac{x' - u}{\sigma/ \sqrt{n}} [/tex]
Where,
Mean, u = 2.8
Sample mean,x' = 2.4
Sample size, n = 61
Standard deviation [tex] \sigma [/tex] = 0.88
Significance level = 0.02
[tex] Z = \frac{2.4 - 0.02}{0.88/ \sqrt{61}} =-3.55[/tex]
Test statistics, Z = -3.55
Pvalue:
Pvalue of Z = -3.55 using standard normal table,
NORMSTID(-3.55) = 0.00019
Pvalue = 0.0002
Critical value:
Since this is a left tailed test, the critical value at 0.02 level of significance is:
[tex] Z_\alpha = Z_0_._0_2 = -2.05 [/tex]
Decision: If pvalue is less than level of significance reject null hypothesis H0.
Conclusion:
Since pvalue, 0.00019 is less than level of significance, 0.02, reject null hypothesis, H0.
We conclude that the mean life of the cheapest screen is less than 2.8 years
For every 4 girls in mr hegarty class there are 5 boys. what is the ratio of boys to girls in the class? Give answer in simplest form.
Answer: 4:5
Step-by-step explanation:
Sara's having a barbecue and she cooks burgers. She buys a 6 pack of breadrolls and a 10 pack of burger meat. How can sara get the same amount of burger to bread rolls
Answer:
Buying 5 packs of bread rolls and 3 packs of burger meat
Step-by-step explanation:
Sara needs to find the least common multiple between 6 bread rolls and 10 pieces of burger meat:
[tex]LCM:\\10\ 6\ |2\\5\ \ 3\ |3\\5\ \ 1\ |5\\1\ \ 1\ |1\\\\LCM = 2*3*5=30[/tex]
Sara will get the same amount of burger to bread rolls when she buys 30 units of each. The numbers of packs of each product that she must buy are:
[tex]B=\frac{30}{6}=5\ packs\\ M=\frac{30}{10}=3\ packs[/tex]
Sara should buy 5 packs of bread rolls and 3 packs of burger meat.
What percent of 660 is 99?
Answer:
15%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
[tex]\frac{99}{660} =\\\\\frac{3}{20} =\\\\\frac{15}{100}[/tex]
99 is 15% of 660
2l of punch for 15 people how many litre of punch for 90 people
Answer:
12
Step-by-step explanation:
In a cookie mix, we find oatmeal cookies,
raisin cookies, and butter cookies in a ratio
of 5:1:3. If a bag of the mix contains 60
butter cookies, how many cookies in total
are there?
Answer:
100 : 20 : 60 Making the total number of cookies 180
Step-by-step explanation:
Looking at the basic information given we know:
If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.
So, we have equations like this:
[tex]r = 1/3b[/tex] and [tex]o = 5/3b[/tex]
So, if we plug in 60 for butter cookies we will have something like this:
[tex]o : r : 60[/tex] or [tex](5/3b) : (1/3b) : b[/tex] where b=60
Solving:
[tex](5/3b) : (1/3b) : b[/tex]
[tex](5/3b) : (1/3b) : 60\\100 : 20 : 60[/tex]
Then add the amounts of together to get 180.
I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.
Which point is not in the solution set of the equation 3y + 2 = x2 − 5x + 17?
A) (-2,10) or
D) (5,5)
B and C where wrong.
Answer:
A (-2, 10)
Step-by-step explanation:
If you plug in the point into x and y you should get "false" on a calculator, or the answer won't make sense, meaning that it's not a part of the set
(-2,10) is not the solution set of the given equation [tex]3y+2 =x^{2} -5x+17[/tex].
What is solution to the equation?The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.
According to the given question
We have an equation
[tex]3y + 2 =x^{2} -5x+17[/tex]
The above equation can be written as
[tex]x^{2} -5x +17-3y-2=0...(i)[/tex]
For finding the point which is not the solution set of the equation, first we will substitute the given points in the above equation and check whether it making the equation true or not.
For point (-2, 10)
Substitute, x = -2 and y = 10 in the equation (i)
[tex](-2)^{2} -5(-2) + 17 - 3(10) -2\\=4+10+17-30-2\\= -1\neq 0[/tex]
Hence, (-2, 10) is not the solution of the given equation.
For point (5, 5)
Substitute, x = 5, and y = 5 in equation (i)
[tex](5)^{2} -5(5)+17-3(5)-2\\=25-25+17-15-2\\=0[/tex]
Hence, (5, 5) is the solution of the given equation.
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what is the discriminant of the equation 2x^2-4x+1=0
Answer:
8 i think
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
2x^2-4x+1=0
This is written in the form
ax^2 +bx+c =0
a=2 b = -4 c =1
The discriminant is
b^2 -4ac
(-4)^2 -4(2)(1)
16 - 8
8
The discriminant is 8
a:b= 5:8 and b:c=6:25
Find, in its simplest form, the ratio a:b:c
Answer:
a:b:c = 15:24:100.
Step-by-step explanation:
We need to make the values of b the same in both ratios so we multiply b = 6 by 4/3 to make it 8 and also multiply 25 by 4/3.
6 25 = 8 : 33.33......
So a:b:c = 5:8:33.33...
To convert to whole numbers we multiply by 3:
a:b:c = 15:24:100.
Tarek reaches into a can that contains 30 25-fils coins, 25 10-fils coins, 40
5-fils coins and 15 1-fils coins. What is the probability that the first coin
he picks is a 25-fils coin or a 1-fils coin?
Answer:
9/22
Step-by-step explanation:
They are 30 25-fils coins, 25 10-fils coins, 40 5-fils coins and 15 1-fils coins.
The total number of fils coins = 30 + 25 + 40 + 15 = 110 coins
The probability of picking n-fils coin = number of n fils coin / total number of fils coins.
Therefore:
The probability of picking 25-fils coin = number of 25 fils coin / total number of fils coins = 30/110 = 3/11
The probability of picking 10-fils coin = number of 10 fils coin / total number of fils coins = 25/110 = 5/22
The probability of picking 5-fils coin = number of 5 fils coin / total number of fils coins = 40/110 = 4/11
The probability of picking 1-fils coin = number of 1 fils coin / total number of fils coins = 15/110 = 3/22
The probability that the first coin he picks is a 25-fils coin or a 1-fils coin = The probability of picking 25-fils coin + The probability of picking 1-fils coin = 3/11 + 3/22 = 9/22
18) A TV screen has a length of 15 inches.
The diagonal of the TV is 25 inches. What
is the width of the TV?
A) 400 inches
B) 40 inches
C) 20 inches D) 29.2 inches
Answer: 20 inches
Step-by-step explanation:
From the question, a television screen has a length of 15 inches while the diagonal of the TV is 25 inches. To calculate the width, we will use the hypoteneous rule.
Hypotenuse² = length² + width²
25² = 15² + width²
width² = 25² - 15²
width² = 625 - 225
width² = 400
width = ✓400
width = 20
The width of the TV is 20 inches.
Compare taking a cube root to taking a square root
The cube root of a number is the number which when multiplied by itself three times give you the original number. ... The square root of a number is the number which when multiplied by itself twice give you the original number. As an example, the square root of 9 is 3 because 3×3 = 9
