Answer:
17
Step-by-step explanation:
Use ratio method
98:2
850:x
so, x = (850 x 2) divided by 98 = 17.3469388
Round it to nearest whole number = 17
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish. Order the tanks by volume per fish from least to greatest.
Answer:
C, A and B
Step-by-step explanation:
Tank A holds 40 Liters and 5 fish.
Volume per fish of Tank A [tex]=40 \div 5 =$ 8 fish per liter[/tex]Tank B holds 100 Liters and 12 fish.
Volume per fish of Tank B [tex]=100 \div 12 =$ 8.33 fish per liter[/tex]Tank C holds 180 Liters and 23 fish.
Volume per fish of Tank C [tex]=180 \div 23 =$ 7.83 fish per liter[/tex]Therefore, the volume per fish from least to greatest is:
7.83, 8 and 8.33
These correspond to the tanks: C, A and B respectively.
Answer:
CAB
Step-by-step explanation:
Got it right in Khan!
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
What are the factors of 36xyz?
A. 36,x,y
B. 36x,y,z
C. x,y,z
D. 36,x,y and z
Answer:
ç
Step-by-step explanation:
write 3x^2/5 in radical form
Answer:
[tex]3\sqrt[5]{x^2}[/tex]
Step-by-step explanation:
As written, no radical is implied. The expression can be rewritten as ...
(3x^2)/5 = (3/5)x^2
_____
Perhaps you intend ...
3x^(2/5)
The denominator of the exponent becomes the index of the radical:
[tex]3x^{\frac{2}{5}}=\boxed{3\sqrt[5]{x^2}}[/tex]
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.
Pam wants to buy a DVD player. The original price is $50. What is the sale price? with a 90% off
Answer:
5 dollars
Step-by-step explanation:
If the price is 90 % off, we will pay 100 - 90 or 10 %
Take the original price times 10 %
50 * 10 %
50 * .10
5
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
2l of punch for 15 people how many litre of punch for 90 people
Answer:
12
Step-by-step explanation:
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.
Learn more about solution to the equation here:
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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
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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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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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:
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
i hate math bro please help me
Answer:
2 + an
Step-by-step explanation:
1 + 1 + na
2 + am
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.
Can someone please please help me
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:
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!
What is the value of −36/5 (10/9 −5/6 ) ?
Answer:
=-2
Step-by-step explanation:=-2
cuz i calculated it
its right
Answer:
-2
Step-by-step explanation:
First, the parentheses are calculated.
The denominators must be equal for removal.
2(10/9) - 3(5/6) = 20/18 - 15/18 = 5/18
Now we're going to multiply.
-36/5 × 5/18 = -36/18 and its equals to -2
Find the value of k such that the quadratic equation x(x-2k)+6=0 has real and equal roots
Answer:
k= [tex]\frac{x^{2}+6 }{2x}[/tex]
Step-by-step explanation:
x(x−2k)+6=0
Step 1: Add -x^2 to both sides.
−2kx+x2+6+−x2=0+−x2
−2kx+6=−x2
Step 2: Add -6 to both sides.
−2kx+6+−6=−x2+−6
−2kx=−x2−6
Step 3: Divide both sides by -2x.
−2kx /−2x = −x2−6 /−2x
k =
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.
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)
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
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
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:
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
simplify the expression (3+8i) - (4+2i) pls show work!
Subtract like terms:
3 -4 = -1
8i - 2i = 6i
The answer is -1+6i
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:
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
