Answer:
Using Piragorean Theorem:
[tex]x=\sqrt{7^2+10^2}=\sqrt{100+49}=\sqrt{149}[/tex]
Answer:
[tex]\sqrt{149[/tex]
Step-by-step explanation:
7² + 10² = 12.21²
49 + 100 = 149
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!!!
What is (n^2)(n^3)^-2?
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 store displays the sign shown. You want to buy a belt that costs &8 and a pair of jeans. You have $18. Write and solve an inequality to find the original prices you can afford
Answer: P ≤ $10
Step-by-step explanation:
You have $18
You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10
This means that we the range of prices P that you can afford is:
P ≤ $10
This means that the price of the jeans can be, at maximum, 10 dollars.
What’s 30x8+5 divided by 8% =
Answer:
302.5
Step-by-step explanation:
30 x 8
5/8
I hope this helps I'm like 90 percent sure this is right. There is no other answer I could think of so I hope Hope helpa
Can someone please please help me
solve a²b³-(ab)² if a=-2 and b=3
Answer:
The answer is 72.
Step-by-step explanation:
You have to put in the values of a and b into the expressions :
[tex] {a}^{2} {b}^{3} - {(ab)}^{2} [/tex]
[tex]let \: a \: = - 2 \\ let \: b = 3[/tex]
[tex] {( - 2)}^{2} \times {(3)}^{3} - {( - 2 \times 3)}^{2} [/tex]
[tex] = 4 \times 27 - { (- 6)}^{2} [/tex]
[tex] = 108 - 36[/tex]
[tex] = 72[/tex]
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
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:
what is the scale factor of polygon qrstu to poligon defgh
Answer:
A
Step-by-step explanation:
Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.
[tex]\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}[/tex]
Therefore, the correct answer is choice A. Hope this helps!
PLZ HELP ME W DIS ASAP!!! MARKING BRAINIEST!!!
Answer:
x = ±11
Step-by-step explanation:
x^2 = 121
Take the square root of each side
sqrt(x^2) = ±sqrt(121)
x = ±11
PLEASE HELP ANSWER WILL GET BRAINLIEST!! What is the value of x in the equation
Answer:
[tex]-3\frac{2}{3}[/tex]
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
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.
Learn more about triangles on:
https://brainly.com/question/2644832
Are you an expert? then answer this.
Answer:
a) n = 3
b) every 9 cm represents 175,000 km
Step-by-step explanation:
a) 20 min : 1 hour
Let's convert it into same units
⇒20 min : 60 min
÷ 20 ÷ 20
⇒ 1 : 3
So n = 3
b) 1 : 25,000
Which means every 1 cm on the map represents 25,000 km
And,
1 cm = 25,000 km
So,
9 cm = 25,000 × 9
9 cm = 175,000 km
So every 9 cm represents 175,000 km
Answer:
a) 3
b) 2.25 km
Step-by-step explanation:
a) 20 min : 1 hour = 1 : n
20 min : 60 min= 1 :3
n=3
b) 1: 25000 scale
1 mm : 25000 mm
9 cm = 90 mm
90 mm : 90*25000 mm
9 cm : 2250000 mm
9 cm : 2.25 km
2l of punch for 15 people how many litre of punch for 90 people
Answer:
12
Step-by-step explanation:
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
SOLVE FOR 20 pls hurry
Answer:
4(-2) + 8(4) / 7 - (-2)²
-8 + 32 / 7 - 4
24 / 3
= 8
Step-by-step explanation:
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
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
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°.
If you want to learn more about rotational symmetry:
https://brainly.com/question/15178808
#SPJ2
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!
Write 150 as a product of primes. Use index notation where appropriate.
Answer:
150=2x5x5x3, or 150=2x5^2x3
Step-by-step explanation:
150=50x3
50=5x10
10=2x5
150=2x5x5x3
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
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.
At a clothing store, 15% of the dresses are blue. Which decimal is equivalent to 15%?
Answer:
0.15
Step-by-step explanation:
15% = 0.15
__________________________________
Solution,
15%
=15/100
=0.15
So, 0.15 decimal is equivalent to 15%
Hope this helps
Good luck on your assignment
_______________________________
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!
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
simplify the expression (3+8i) - (4+2i) pls show work!
Subtract like terms:
3 -4 = -1
8i - 2i = 6i
The answer is -1+6i
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