Answer:
4times tall
Step-by-step explanation:
Volume of the boxes = Base area × height
Volume of the first box V1 = A1h1
Given the base of the first box to be 5cm, the base area:
A1 = 5cm×5cm = 25cm²
Volume of the first box V1 = 25h1... 1
Similarly, volume of the second box
V2 = A2h2
Given the base of the second box to be 10cm, the base area:
A2= 10cm×10cm = 100cm²
Volume of the second box
V2 = 100h2... 2
If the two boxes have the same volume, then V1 = V2
25h1 = 100h2
divide both sides by 25
25h1/25 = 100h2/25
h1 = 4h2
Since the height of the smaller box is represented as h1, then the height of the smaller base is 4 times tall.
Answer:
4times tall
Step-by-step explanation:
Volume of the boxes = Base area × height
Volume of the first box V1 = A1h1
Given the base of the first box to be 5cm, the base area:
A1 = 5cm×5cm = 25cm²
Volume of the first box V1 = 25h1... 1
Similarly, volume of the second box
V2 = A2h2
Given the base of the second box to be 10cm, the base area:
A2= 10cm×10cm = 100cm²
Volume of the second box
V2 = 100h2... 2
If the two boxes have the same volume, then V1 = V2
25h1 = 100h2
divide both sides by 25
25h1/25 = 100h2/25
h1 = 4h2
Since the height of the smaller box is represented as h1, then the height of the smaller base is 4 times tall.
Give an example of a number that is a whole number, but NOT a natural number.
PLEASE HELP
Answer:
0
Step-by-step explanation:
Natural numbers or the counting numbers is all the positive, non-decimal numbers. They are 1, 2, 3... and so on. Natural numbers does not include 0.
Whole numbers are all the natural numbers with the addition of 0. In other words, whole numbers are: 0, 1, 2, 3... and so on.
Therefore, the only number that is a whole number and that's not a natural number is 0.
Answer: 0
Step-by-step explanation: The set of counting numbers, {1, 2, 3, 4, ...}
is called the set of natural numbers.
When we include 0 in the set of natural numbers,
the new set, {0, 1, 2, 3, ...} is called the set of whole numbers.
Notice that all natural numbers are
included within the set of whole numbers.
We can represent the relationship between these two
sets of numbers using the diagram shown below.
In fact, 0 is the only whole number that's not a natural number.
"Bob is dealing with discrete data and the samples are without replacement. Based on this information, what is the likely probability distribution"
Answer:
discrete probability distribution
Step-by-step explanation:
A discrete probability distribution is a term that describes a form of a probability distribution that is used in a situation where the set of possible outcomes is discrete.
While it also has a tendency to take on a countable number of values, it is a probability distribution where a sample is drawn from a larger population, this sample points possess an empirical distribution that is considered to be discrete, which resulted in information about the population distribution.
Hence, given that Bob is dealing with discrete data and the samples are drawn without replacement, the likely probability distribution is DISCRETE PROBABILITY DISTRIBUTION
the square of a number, x, is 16 less than 8 times the number. what is the number
Answer:
x=4
Step-by-step explanation:
Building an equation and solving it, it is found that the number is 4.
------------------------------
The number is unknown, so it is called x.The square of 1 is [tex]1^2 = 1[/tex], the square of 2 is [tex]2^2 = 4[/tex], thus the square of the number x is [tex]x^2[/tex].8 times the number is 8x.16 less than 8 times the number is 8x - 16.------------------------------
The equality is:
[tex]x^2 = 8x - 16[/tex]
[tex]x^2 - 8x + 16 = 0[/tex]
Applying the perfect square binomial:
[tex](x - 4)^2 = 0[/tex]
[tex]\sqrt{(x - 4)^2} = \sqrt{0}[/tex]
[tex]x - 4 = 0[/tex]
[tex]x = 4[/tex]
The number is 4.
A similar problem is given at https://brainly.com/question/20742606
If a rectangle has a perimeter of 56 inches and a width of 8 inches,what is the perimeter
Answer:
192 inches ²Step-by-step explanation:
P= (l+w)
56 = 2(l+8)
56=2l+8
56-8= 2l
48=2l
Length=24
Area = ?
A = l×w
A=24×8
Area= 192inches²
Identify the type of study used. A town obtains current employment data by polling 10,000 of its cit izens this month.
A) Cross-sectional
B) Prospective
C) Retrospective
D) None of these
Answer:
A) Cross-sectional
Step-by-step explanation:
A cross-sectional study is a type of study that involves the data i.e. taken from a population for a specific time period.
Here study shows the peoples interest in variables that are be chosen
In the given situation, since a town obtains a data of the current employment for 10,000 of its total citizens
So this represents the cross-sectional
hence, the correct option is A. Cross-sectional
There are two different maps of California. The scale on the first map is 1 cm to 20 km. The distance from Fresno to SanFrancisco is 15 cm.The scale on the second map is 1 cm to 100 km.What is the distance from Fresno to San Francisco on the second map? Explain your reasoning.
Answer:
the distance from Fresno to San Francisco on the second map is 75cm
Step-by-step explanation:
The scale on the first map is 1 cm to 20 km
The distance from Fresno to SanFrancisco is 15 cm
1cm/20km = 15cm
The scale on the second map is 1 cm to 100 km.
1cm/100km = x
X= 15cm*100km/20km *1cm/1cm
X=15cm *5
X= 75 cm
the distance from Fresno to San Francisco on the second map is 75cm
eon checked a book out of the library, but forgot to return it and owes
1.50 in fines. If a book is 1 day overdue, the fine is 10 cents, 2 days
verdue, 20 cents, 3 days overdue, 30 cents, and so on. How many days
verdue is Keon's book?
Answer:
15 days
Step-by-step explanation:
It seems that the fines are 10x cents for every x days overdue. Therefore, 10x = 150 (150 because $1.50 is 150 cents) so x = 15 days.
What is the slope of the line?
Answer:-1
Step-by-step explanation:
Do Rise-over-run which is -1/1 (y over x)
Answer:
-1
Step-by-step explanation:
Pick two points on the line
(-2,0) and ( 0,-2)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (-2-0)/(0 - -2)
( -2-0)/(0+2)
-2/2
-1
List all segments that could represent a corresponding height if the side n is the
base.
m
Answer:
g,h,m
Step-by-step explanation:
All three of these line segments are perpendicular on n (which acts as the base).
Therefore , g,h,m are corresponding heights
g 3.6 Dice rolls. If you roll a pair of fair dice, what is the probability of (a) getting a sum of 1
Answer:
0
Step-by-step explanation:
In the roll of a pair of fair dice, The sample space is as follows:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
If x,y represent the possible outcome of rolling the two die
Then the total number of possibilities for the sample space = (x,y)
= (6 × 6) = 36
Now, the probability of getting a sum of 1 does not exist in the roll of a pair of fair dice.
Therefore, Probability(1) = 0
You choose to tip a taxi driver 20%. If the tip is $2.00, how much was the original cost of the ride?
Answer:
10.00
Step-by-step explanation:
because 2.00 x 5 is 10 which is a hundred percent hope this helps!
Two ships a and b are firing cannons at each other. Ship A reaches its target 30% of the time, Ship B 60% of the time. The ships take turns firing at one another. When a ship is hit it sinks. Ship A fires first. What is Ship A's survival probability, rounded to the nearest 0.01?
a. 33%.
b. 38%.
c. 42%.
d. 50%.
Answer: c. 42%.
Step-by-step explanation:
P(ship A reaches target) : P(A) = 0.30
P(ship B reaches target) : P(B) = 0.60
P( Ship B not reaching target ) : P(B^c) = 1 - p(B) = 1 - 0.60 = 0.40
P( Ship A not reaching target ) : P(A^c) = 1 - p(B) = 1 - 0.30 = 0.70
NOW
define A for A wins
define A^c for A loss
define B for B wins
define B^c for B loss
A ⇒ P(A) = 0.30
A^c B^c A ⇒P(A^c B^c A) = 0.70 × 0.40 × 0.30
A^c B^c A^c B^c A ⇒ P(A^c B^c A^c B^c A) = ( 0.70 × 0.40)² × 0.30
↓↓↓
∴P(A survives) = sum of all probabilities
⇒ 0.30 + ( 0.70 × 0.40 × 0.30 ) + ( 0.70 ×0.40 )² × 0.30 +...........................
⇒ 0.30 [ 1 + ( 0.28) + (0.28)² +..........................]
Now sum of geometric series S∞ = a / 1-β = 1 / 1 - 0.28
∴ 0.30 × 1/1-0.28 = 0.42
now converting to percentage
0.42 × 100 = 42%
Ship A's survival probability is 42%
how can I make an equation for the numbers 84, 8, and 1
A spinner has 10 equally sized sections, 5 of which are gray and 5 of which are blue. The spinner is spun twice. What is the probability that the first spin lands on gray and the second spin lands on blue? Write your answer as a fraction in the simplest form.
Answer:
1/4Step-by-step explanation:
Probability is the likelihood or chance that an event will occur. Mathematically,
Probability = Expected outcome/Total outcome
If the spinner has 10 equally sized sections 5 of which are gray and 5 of which are blue, the total outcome will be equal to 10.
The probability that spinning lands on blue = 5/10
The probability that spinning lands on gray = 5/10
The probability that the first spin lands on gray and the second spin lands on blue is 5/10*5/10 = 25/100
25/100 = 1*25/(4*25) = 1/4
Hence, the probability that the first spin lands on gray and the second spin lands on blue in its simplest form is 1/4
what is f(3) for f(x) = 3x + 2
Answer:
11
Step-by-step explanation:
f(x) = 3x + 2
Let x = 3
f(3) = 3*3 +2
f(3) = 9+2
= 11
Answer:
f(3) = 11Step-by-step explanation:
f(x) = 3x + 2
In order to find f(3) substitute the value of x that's 3 into f (x) that's replace every x in f (x) by 3
That's
f(3) = 3(3) + 2
= 9 + 2
We have the final answer as
f(3) = 11Hope this helps you
A scientist is hoping to compare the mean levels of DDT toxin found in three species of fish in a local river. He randomly samples 50 of each species to use in the analysis. For each fish, he measures the amount of DDT toxin present. Ideally he will be able to rank the species based on the mean level of toxin found in each of the three species.
How many factors are present in this study? Choose which one
a. 50
b. 3
c. 1
d. 6
Answer:
1.
Step-by-step explanation:
We are being told that:
A scientist is hoping to compare the mean levels of DDT toxin found in three species of fish in a local river.
He randomly samples 50 of each species to use in the analysis.
i.e sample size n = 50
For each fish, he measures the amount of DDT toxin present. The amount of DDT toxin present will be use to rank the species based on the mean level of toxin.
From the information above, we will realize that the factors that are present in this study is just only one and which is the amount of DDT in a Fish because, it is the major focus in this question.
Does anyone know the answer to number 1?
Answer:
Rectangles
Step-by-step explanation:
Answer:
[tex]\Large \boxed{\mathrm{Rectangles}}[/tex]
Step-by-step explanation:
Figure A and figure B are rectangles.
Rectangles have opposite sides equal and parallel.
Rectangles have 4 right angles and 4 pairs of perpendicular sides.
Write the point slope of the equation of the line described show work.
through: (3,-2), parallel to y= -3/2x - 1
Answer:
y= -3/2x + 5/2
Step-by-step explanation:
Given:
Line y= -3/2x - 1 and point (3, -2)To find:
Equation for the line parallel to the given that passes through the given point.SolutionThe given line has a slope of -3/2
The parallel line will have the same slope
The point-slope form:
y - y1 = m(x -x1)We have m = -3/2, y1= -2, x1 = 3, plug in:
y - (-2) = -3/2(x - 3)y + 2 = -3/2(x - 3)y = -3/2x + 9/2 - 2y = -3/2x + 5/2or
y = -1.5x + 2.5
If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to
drive if he wants to take 5 hours?
O 50 mph
52.4 mph
O 60.5 mph
O 51.5 mph
Answer:
55mph
None of the option is correct
Step-by-step explanation:
Let v be the speed and t as the time taken. If speed varies inversely as the time it takes to drive, then v ∝ 1/t.
v = k/t where k is the constant of proportionality.
IF it takes Kris 5 hours when driving at 55 mph, then v = 55mph when t = 5 hours.
Substituting this values into the formula above;
55 = k/5
k = 55*5
k = 275mp/hr²
To calculate the speed it will Martin to drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t
v = 275/5
v = 55 mph
Hence, martin will also need to drive at 55mph to take 5 hours
Apolitical researcher believes that the fraction p1 of Republicans strongly in favor of the death penalty is greater than the fraction p2 of Democrats strongly in favor of the death penalty. He acquired independent random samples of 200 Republicans and 200 Democrats and found 46 Republicans and 34 Democrats strongly favoring the death penalty. Does this evidence provide statistical support for the researcher’s belief? Use α = .05.
Answer:
The evidence provided does not statistically support the researcher’s belief
Step-by-step explanation:
From the question we are told that
The sample size of each political party is [tex]n = 200[/tex]
The number of democrats that favor death penalty is [tex]k = 34[/tex]
The number of republicans that favor death penalty is [tex]u = 46[/tex]
Generally the sample proportion for Republicans is
[tex]\r p_1 = \frac{ 46}{200}[/tex]
[tex]\r p_1 = 0.23[/tex]
Generally the sample proportion for Democrats is
[tex]\r p_2 = \frac{ 34}{200}[/tex]
[tex]\r p_1 = 0.17[/tex]
The null hypothesis is [tex]H_o : \r p _1 = \r p_2[/tex]
The alternative hypothesis is [tex]H-_1 : \r p_1 > \r p_2[/tex]
Generally the pooled population proportion is evaluated as
[tex]\r p = \frac{ k + u }{n + n }[/tex]
[tex]\r p = \frac{ 34 + 46 }{200 + 200 }[/tex]
[tex]\r p = 0.2[/tex]
The test statistics is evaluated as
[tex]t = \frac{ \r p _1 - \r p_2 }{\sqrt{ \r p (1 - \r p ) [\frac{1}{n} +\frac{1}{n} ]} }[/tex]
[tex]t = 1.5[/tex]
The p-value is obtained from the z-table the value is
[tex]p-value = P(Z> 1.50 ) = 0.066807[/tex]
=> [tex]p-value = 0.066807[/tex]
Given that [tex]p-value > \alpha[/tex] then we fail to reject the null hypothesis this mean that there is no sufficient evidence to support the researcher’s belief
Add. (7s+5)+(2s+9) help please
Answer:
9s+ 14
Step-by-step explanation:
(7s+5)+(5+9)
(7s+2s) +(5+9)
(9s)+(14)
Start by moving your numbers around so your like terms are by each other.
Then combine you like term so numbers with letters with numbers and letters the plain numbers and plain numbers.
once you do that your equation is simplify as far as possible
Tickets to a play are $12.00 for adults. Children receive a discount and only have to pay $8.00. If 40 people attend the play and the play brought in $440, then __?__children attended the play.
The total number of children who attended play is 10 and this can be determined by forming the linear equation in two variables.
Given :
Tickets to a play are $12.00 for adults. Children receive a discount and only have to pay $8.00. 40 people attend the play and the play brought in $440.The following steps can be used in order to determine the total number of children attending play:
Step 1 - Let the total number of adults attending play be 'x' and the total number of children attending play be 'y'.
Step 2 - The linear equation that represents the total number of people attending the play is:
x + y = 40
x = 40 - y --- (1)
Step 3 - The linear equation that represents the price of all the tickets is:
12x + 8y = 440 --- (2)
Step 4 - Now, substitute the value of 'x' in the above expression.
12(40 - y) + 8y = 440
Step 5 - Simplify the above expression.
480 - 12y + 8y = 440
40 = 4y
y = 10
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What is the equation of a vertical line passing through (−5, −2)? a: x = −5 b: x = −7 c: y = −3 d: y = −2
The answer is
A : x=-5
i need help asap !!!!!
Answer:
D.) MC≅MC
Step-by-step explanation:
We already know that the hypotenuses are the same (because of that tiny line), so we need the legs (HL: hypotenuse-leg). As we can see in the picture, MC is a shared side of both triangles, and this is also the leg. Option D is correct.
:Done
PLEASE HELP (0.1)^5 simplified
Answer:
0.1^5=0.00001
Step-by-step explanation:
[tex]0.1^5\\0.1^5=0.00001[/tex]
On a distant planet, a ball is thrown upwards from ground level , reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form a * x ^ 2 + bx + c =0 that could be used to calculate when the ball is a height of 3m. Do not solve the equation
Answer:
(-3/4)x^2 + 6x = 3
Step-by-step explanation:
It takes 8 seconds for the ball to reach its maximum height and then return to ground level; thus, the highest point (vertex) the ball will reach is reached after 4 seconds. The graph showing this motion is a parabola that opens down. Thus, the coefficient 'a' must be negative.
Returning to a * x ^ 2 + bx + c, we write out two instances of this formula, one for x = 0 and the other for x = 8. This is because {0, 8} are the x-intercepts.
Then, for x = 0, a * x ^ 2 + bx + c becomes a * 0 ^ 2 + b*0 = 0,
and for x = 8, a * x ^ 2 + bx + c becomes a(8)^2 + b(8) + c = 0
The first equation tells us that 'c' must be 0. The second equation tells us that 64a + 8b = 0, which is equivalent to 8a = -b, or a = -b/8.
We then have the quadratic function (-b/8)x^2 + bx + 0. All we have to do now is to find the value of b. The vertex of this parabola is (4, 12), and so the quadratic becomes
(-b/8)(4)^2 + b(4) = 12. To solve this for b, multiply all terms by 8:
-b(16) + 32b = 96, or
16b = 96, or b = 6. Since a = -b/8 (see above), a = -6/8 or a = -3/4.
Then the equation of motion is
height of ball = (-3/4)x^2 + 6x
We want to know when the ball is at a height of 3 m. Thus, set this equation of motion = to 3 and solve for x (the times at which height = 3 m):
(-3/4)x^2 + 6x = 3 This is the desired quadratic equation.
which expression is equivalent to 4^6 x 4^-8
Answer:
4^-2=1/16
Step-by-step explanation:
When we are multiplying exponents and the bases are the same, we add the exponents
4^6 * 4^-8
4^(6+-8)
4^-2
1/16
Ana is purchasing new furniture and must pay a 10% sales tax. She can have the furniture delivered for an additional $25 fee that is not taxed. Which function represents the amount Ana will pay for furniture with a pretax price of x dollars?
Answer:
C) P(x)=1.10x+25
Step-by-step explanation:
The algebraic expression for the amount Ana will pay for furniture with a pretax price of x dollars = 1.1x + 25
What is algebraic expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.
Learn more about algebraic expression here
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Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H0 for the given level of significance.
Two-tailed test with test statistic z= -1.94 and = 0.07.
P-value = ?
Answer:
Reject H0 as the critical region for alpha = 0.07 is z ≤ -1.82 and z≥ 1.82
Step-by-step explanation:
For the significance level ∝ = 0.07
For a two tailed test we divide it with 2 and get 0.035
When we subtract 0.035 from 1 we get 0.965
And when we look at the z- table and corresponding to 0.965 we find the value of z to be 1.82
Now the calculated value of z= -1.94 which is less than ±1.82.
Hence reject H0 if z ≤ -1.82 and z≥ 1.82
Therefore reject H0.
While ∝ =0.07
p- value = 0.06 should be examined
the p- value is the smallest value of ∝ where we reject H0.
Hence at ∝= 0.06 critical region is z ≤ -1.88 and z≥ 1.88
At ∝= 0.05 critical region is z ≤ -1.96 and z≥ 1.96
So p- value is near 0.06
Solve the system of linear equations by graphing. y−2x = 5 6x−3y = −15