Answer:
Step-by-step explanation:
Guss
A rectangular prism has a length of 4 feet, a width of 8 feet and a height of 5 feet. What is the volume of the prism
1/4 x 1/6 x 1/12= What fraction did Phil eat of the pizza
Answer:
[tex] \frac{1}{288} [/tex]
Step-by-step explanation:
the 1 will always stay the same because all of them are 1's
4×6=24
24×12=288
Answer:
garage bozo
Step-by-step explanation:
fx= ab*2÷t*2, make t the subhect of the formulae
[tex]fx = ab { }^{2} \div t {?}^{2} [/tex]
Answer:
t = √ab²/fx
Step-by-step explanation:
fx= ab*2÷t*2, make t the subject of the formulae
Given the function
fx = ab²/t²
We are to make t the subject of the formula
fxt² = ab²
t² = ab²/fx
Take the square root of both sides
√t² = √ab²/fx
t = √ab²/fx
Hence the required value of t is √ab²/fx
Express 5 cm in metre and kilometre.in decimals........................
Answer:
0.05 metre
5×10^5 kilometer
1.9685
You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards. You want to create a 95% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate
Answer:
The margin of error for this estimate is of 14.79 yards per game.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.
This means that [tex]n = 20, s = 31.61[/tex]
What is the margin of error for this estimate?
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 2.093\frac{31.61}{\sqrt{20}}[/tex]
[tex]M = 14.79[/tex]
The margin of error for this estimate is of 14.79 yards per game.
(1 point) Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 16 specimens of a particular species, 7 resprout after fire. Estimate with 99% confidence the proportion of all shrubs of this species that will resprout after fire.
Answer:
The answer is "[tex]0.45 \pm 0.18204[/tex]"
Step-by-step explanation:
For the +4 sample proportion[tex]= \frac{(7+2)}{(16+4)} = \frac{9}{20} = 0.45[/tex]
Sample percentage measurements estimated stdev
[tex]= \sqrt{\frac{[(0.45)(1-0.45)]}{[(16+4)]}}\\\\ = \sqrt{\frac{[(0.45)(0.55)]}{[(20)]}}\\\\ = \sqrt{\frac{0.2475}{20}}\\\\= \sqrt{0.012375}\\\\=0.111[/tex]
Calculating the critical z for a=0.1, two-tailed = 1.64
Calculating the confidence interval:
[tex]= 0.45 \pm 0.111 \times 1.64 \\\\= 0.45 \pm 0.18204[/tex]
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 387 drivers and find that 298 claim to always buckle up. Construct a 84% confidence interval for the population proportion that claim to always buckle up.
Answer:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
They randomly survey 387 drivers and find that 298 claim to always buckle up.
This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]
84% confidence level
So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
If 8,a,b,27 are in geometric sequence, find the value of a and b.
Answer:
a = 12 and b = 18
Step-by-step explanation:
Given that,
8,a,b,27 are in geometric sequence.
For a GP, the nth term is given by :
[tex]a_n=ar^{n-1}[/tex]
Put n = 4
[tex]a_4=ar^{4-1}\\\\a_4=ar^3\\\\27=8\times r^3\\\\r^3=\dfrac{27}{8}\\\\r=\dfrac{3}{2}=1.5[/tex]
Put n = 2,
[tex]a_2=ar^{2-1}\\\\a=ar\\\\a=8\times 1.5\\\\a=12[/tex]
Put n = 3
[tex]a_3=ar^2\\\\=8\times 1.5^2\\\\b =18[/tex]
So, the values of a and b is 12 and 18 respectively.
A blue whale swims at -26.3 meters. A bald eagle flies at 17.8 meters.
Which animal matches each description?
located at great altitude
and
closer to sea level
Todd Lyle worked Monday through Friday from 8:00 A.M. to 5:00 P,M. with an hour off for lunch. He is paid $10,50 an hour. Find his earnings for the week.
Answer:
$315
Step-by-step explanation:
He earns $63 everyday, and then you just have to multiply that by 5 since he works 5 days in a week.
a serving of crackers has 1.5 grams of fat. How many grams of fat are in 3.75 servings
Answer:
5.625
Step-by-step explanation:
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
5.625 grams of fat are in 3.75 servings.
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
What is a Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Learn more about the unitary method here https://brainly.com/question/24587372
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Write the number 9.9 x 10-5 in standard form.
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5
A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5
Answer:
[tex]f(x) = 2x + 5[/tex]
[tex]g(x) = (x - 6)^2[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Which will give:
[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
Equate the expression in bracket to g(x)
[tex]g(x) = (x - 6)^2[/tex]
Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
[tex]f(x) = 2x + 5[/tex]
The capacity of a water tank is 1000 litres. If 7/10 parts of the tank is emptied, how many litres of water are left in the tank?
Answer:
300litres
Step-by-step explanation:
capacity of water tank=1000litres
7/10 parts of tank is emptied,
method 1so, to know the litres of water left in the tank has to be equal to 1000litres-emptied tank
let X to represent water left in the tank
X=1000litres-(7/10*1000litres)
X=1000litres-700litres
X=300litres
hence, litres of water left in the tank =300litres
method 2since, full tank is 10/10 and you know the emptied tank has 7/10. meaning the remaining part of water is
10/10-7/10
3/10 of the tank with water
therefore, 3/10*1000litres
300litres.
What type of symmetry’s are shown?
Answer:
18o rotational symetry
Step-by-step explanation:
Which of the following plots has exactly 2 clusters and
1 outlier
Two similar trapezoids have areas 225 and 400. If the height of the smaller trapezoid is 12, find the height of the larger trapezoid.
Answer:
Step-by-step explanation:
Please show steps on how to solve
log7 -2b-9=-6
Answer: b= - -log10(7)+3/2
Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)
so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)
Simplify -2b= -log10(7)+3
Divide both sides by -2 -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!
Determine the equation of the circle graphed below.
9514 1404 393
Answer:
(x -6)^2 +(y -6)^2 = 10
Step-by-step explanation:
To use the standard form equation for a circle, we need to know the center and the square of the radius. The center can be read from the graph as (6, 6). The square of the radius can be found using the distance formula.
d^2 = (x2-x1)^2 +(y2-y1)^2
The radius is the distance between the two points shown, so we have ...
d^2 = (7-6)^2 +(9-6)^2 = 1^2 +3^2 = 10
__
The equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
For (h, k) = (6, 6) and r^2 = 10, the equation is ...
(x -6)^2 +(y -6)^2 = 10
Is it possible to design a table
where no two legs have the same length? Assume
that the endpoints of the legs must all lie in the same
plane. Include a diagram as part of your answer.
How much would you have to deposit today to have an accumulated amount of 20,000 in 20 years if yearly interest is 4.75% compounded continuously?
Which coordinate point represents the y -intercept of the equation 3x + 2y = 18
Answer:
(-6,18)
Step-by-step explanation:
3x + 2y = 18
2y= -3x + 18
y=-3/2 x + 18
give x=0
y=-3/2 *0+18
y=18#
y=18
3x+2(18)=18
3x+36=18
3x=18-36
3x=-18
x=-18/3
x=-6
Anna bought 3 types of fruit for a fruit salad. She paid three times as much for blueberries as for pears and $2.50 less for strawberries than for blueberries.
If The total cost was $13.25 how much did Anna spend on each type of fruit
Answer:
Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.
Step-by-step explanation:
Given that Anna bought 3 types of fruit for a fruit salad, and she paid three times as much for blueberries as for pears and $ 2.50 less for strawberries than for blueberries, if the total cost was $ 13.25, to determine how much did Anna spend on each type of fruit, the following calculation must be performed:
Pears: X
Blueberries: 3X
Strawberries: 3X - 2.5
X + 3X + 3X - 2.5 = 13.25
7X = 13.25 + 2.5
X = 15.75 / 7
X = 2.25
Pears: 2.25
Blueberries: 3 x 2.25 = 6.75
Strawberries: 3 x 2.25 - 2.50 = 6.75 - 2.50 = 4.25
2.25 + 6.75 + 4.25 = 13.25
Therefore, Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.
Find the area of the circle
Pls help quick
Answer:
153.86.
Step-by-step explanation:
Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.
In a sightseeing boat near the base of the Horseshoe Falls at Niagara Falls, a
passenger estimates the angle of elevation to the top of the falls to be 30°.
If the Horseshoe Falls are 173 feet high, what is the distance from the boat
to the base of the falls?
Answer:
299.64 ft
Step-by-step explanation:
The diagrammatic representation of the problem has been attached below :
Applying trigonometry :
We use the relation :
Tanθ = opposite / Adjacent
Tan 30 = 173 / d
0.5773502 = 173 / d
0.5773502d = 173
d = 173 / 0.5773502
d = 299.64 ft
What are the solutions to the quadratic equation x2-16=0
Answer:
x = -4, 4
Step-by-step explanation:
Hi there!
[tex]x^2-16=0[/tex]
Rewrite 16:
[tex]x^2-4^2=0[/tex]
The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:
[tex](x+4)(x-4)=0[/tex]
The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:
[tex]x+4=0\\x=-4[/tex]
[tex]x-4=0\\x=4[/tex]
Therefore, the solutions are -4 and 4.
I hope this helps!
The product of nine, x and y
Answer:
(9)(x)(y) or 9(x + y)
Step-by-step explanation:
Find the value of x for the right triangle. Round your answer to the nearest hundredth.
450
19
Answer:
450 foe
Step-by-step explanation:
please help will give brainliest
Answer:
B
Step-by-step explanation:
Rewrite the following logarithmic expression as an exponential expression
Answer:
it should be the same answer....?
Step-by-step explanation: