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Answer:
D. 5 < x < 9
Step-by-step explanation:
The third side cannot be any shorter than the difference of the other two sides: 7 -2 = 5. It cannot be any longer than the sum of the other two sides: 7+2 = 9. It cannot be equal to either of those values. So, we must have ...
5 < x < 9
There are 18 students in sir Sam 4th PE class. Each student will be given 2 1/2 minutes to explain how to solve his word problem with fractions. How long it will take for all 18 students to explain their answers? (Show solutions)
Answer:
44
Step-by-step explanation:
18 * 2.5 = 44
How u do this djiejejeoeowoekrkk
Use logarithms to solve the equation for t. (Round your answer to two decimal places.)
2000/(1 + 6e−0.7t) = 1000
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Answer:
2.56
Step-by-step explanation:
Multiply by (1+6e^(-.7t))/1000:
2000/1000 = 1 +6e^(-0.07t)
1 = 6e^(-0.07t) . . . . . . . . . subtract 1
e^(0.07t) = 6 . . . . . . . . . . multiply by e^(0.07t)
0.07t = ln(6) . . . . . . . . . take the natural log
t = ln(6)/0.07 . . . . . . . divide by the coefficient of t
t ≈ 2.55966 ≈ 2.56
3. A random sample of 100 people was taken. There were sixty people who favored Brand A. We are interested in determining whether or not the proportion of the population in favor of Brand A is significantly more than 55%. At a 0.05 level of significance, it can be concluded that the portion of the population in favor of Brand A is ____. a. Significantly greater than 60% b. Not significantly greater than 55% c. Not significantly greater than 60% d. Significantly greater than 55% e. None of the above
Testing the hypothesis, it is found that the correct option is:
b. Not significantly greater than 55%.
At the null hypothesis, we test if the proportion is not significantly more than 55%, that is:
[tex]H_0: p \leq 0.55[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 55%, that is:
[tex]H_1: p < 0.55[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.55, n = 100, \overline{p} = \frac{60}{100} = 0.6[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.6 - 0.55}{\sqrt{\frac{0.55(0.45)}{100}}}[/tex]
[tex]z = 1.01[/tex]
The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted by the p-value of z = 1.01.
Looking at the z-table, z = 1.01 has a p-value of 0.8438.
1 - 0.8438 = 0.1562.
The p-value of the test is 0.1562 > 0.05, which means that the proportion is not significantly greater than 55%, and option b is correct.
A similar problem is given at https://brainly.com/question/24330815
what is 240.50 x 19.54
Answer:
240.50 x 19.54= 4699.37
Help with a b and c pleaseee I’ll give brainliest !
Answer:
b. 254.34
c. 3.33
that is the answer I suppose
Please help out with this question
Step-by-step explanation:
5⁴+5³-6(5)²-5(5)-15
= 560
Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 2x − 4x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−[infinity], [infinity]). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c1, c2, c3} = $$ Correct: Your answer is correct. Determine whether f1, f2, f3 are linearly independent on the interval (−[infinity], [infinity]).
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Answer:
(c1, c2, c3) = (-2t, 4t, t) . . . . for any value of tNOT linearly independentStep-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
Find the area of a circle with a diameter of 18 inches. Use 3.14 for pi.
Answer:
254.34
Step-by-step explanation:
A=pi*r^2
A=3.14*9^2
A=3.14*81
A=254.34
What is the least common denominator for the fractions 1/3and2/9?
Answer:
LCD= 9
Step-by-step explanation:
1/3 = 3/9
2/9 = 2/9
Four balls of wool will make 8 knitted caps. How many balls of wool Malcome needs if he wants to make 6 caps?
Answer:
3 balls of wool
Step-by-step explanation:
8/4=2
6/2=3
rick haskins is payed $18 an hour as a pastry chef for a regular 35-hour week his over time rate is 1.5 times his regular hourly rate this week he worked his regular 35 hours plus 8 hours of overtime what is ricks total pay
Serina and 2 friends go out for dinner. Their bill is $92.18. How much more would
they pay if they left a tip of 20% instead of a tip of 15%?
$9.22
$4.61
$6.91
$2.76
Answer:
$4.61
Step-by-step explanation:
To calculate a tip of 20%, you would perform the following:
$92.18 * 0.20 = $18.436
Similarly, for a tip of 15%:
$92.18 * 0.15 = $13.827
The difference would just be subtracting the two tip amounts from each other!
$18.436 - $13.827 = $4.609
Then you round to the nearest cent.
$4.609 ≈ $4.61
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
it is 9 centimeters
Step-by-step explanation:
it is a 1:1 ratio
Two cars leave towns 750 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hour less than the other's. If they
meet in 5 hours, what is the rate of the slower car?
Do not do any rounding.
Answer:
57 kph
Step-by-step explanation:
5x + 5(x-12) = 750
10x = 690
x = 69
Slooow car = 57 kph
There are three sizes of pizza, three of crust, and ten toppings. If you Order one size, one type of crust, and one topping, how many pizza choices are there?
step by step explanation, please
Answer:
[tex]a=\displaystyle \frac{k}{w+v}[/tex]
Step-by-step explanation:
Hi there!
[tex]\displaystyle \frac{k}{a} =w+v[/tex]
Multiply both sides by a:
[tex]a*\displaystyle \frac{k}{a} =a(w+v)\\\\k=a(w+v)[/tex]
Divide both sides by (w+v):
[tex]\displaystyle \frac{k}{(w+v)} =\displaystyle \frac{a(w+v)}{(w+v)}\\\\\displaystyle \frac{k}{w+v} =a[/tex]
I hope this helps!
150 miles on 4 gallons of gas. How many miles for 1 gallon of gas?
Answer: answered
A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Hint: 1 mile is approximately 1.6 kilometers)
Step-by-step explanation:
Answer:37.5
Step-by-step explanation:
hi, can you help me here pls?
...
...
What is the local tax deducted for $562 biweekly with 2 1/2% tax? $14.05 $ $21.10 $28.10 $140.50
The amount of tax that will be deducted will be A. $14.05
Amount given = $562Tax percentage = 2 1/2%In order to calculate the local tax that will be deducted, we've to multiply the amount that given by the tax percent and this will be:
= $562 × 2 1/2%
= $14.05
Therefore, the amount of tax that will be deducted will be $14.05
In conclusion, the correct option is A.
Read related link on:
https://brainly.com/question/25239215
please help me with this sum
its upsidedown what are you doing
Is is possible to divide Pi aka : 3.14159
Answer:
If you WANT to divide pi, there is half a pi left.
Step-by-step explanation:
There are 2pi radians in a circle. So one quarter of the circle corresponds to half of pi (If you want to divide to get half of pi) . So it would then be: one quarter corresponds to a half.
(if that makes sense! sorry if it doesn't :\ )
Show how to use a power of 10 to write 42.66 / 2.97 as an equivalent expression with a whole number divisor
PLEASE HELP DUE TONIGHT!!
WILL MARK BRAINLIEST!!
Expressing the given equation as a power of 10 with the divisor expressed as an whole number can be written as [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
Given the expression :
42.66/2.97Expressing the numbers as a power of 10 :
Dividend = 42.66 Divisor = 2.97To convert the divisor to a whole number :
Multiply both by 100
Dividend = 42.66 × 100Divisor = 2.97 × 100 = 297Expressing dividend as a power of 10 :
Dividend = 42.66 × 100 = 42.66 × 10²Hence, the equivalent equation would be : [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
Learn more : https://brainly.com/question/18796573
a. Find the probability that when a single six-sided die is rolled, the outcome is 1.
b. Find the probability that when a coin is tossed, the result is tails.
c. Find the probability that when a six-sided die is rolled, the outcome is 13.
a. The probability of rolling a 1 on a six-sided die is
The probability that when a coin is tossed, the result is tails = 1/2
The probability that when a single six-sided die is rolled, the outcome is 1 = 1/6
The probability that when a six-sided die is rolled, the outcome is 13 = 0
What is probability?Probability is simply how likely something is to happen.
A).
The probability that when a single six-sided die is rolled, the outcome is 1.
When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}
All six digits are equally likely to occur.
P (occurring 1) = 1/6
B).
The probability that when a six-sided die is rolled, the outcome is 13.
When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}
13 does not occur in the sample space.
P (occurring 13) = 0
C).
The probability that when a coin is tossed, the result is tails.
When a coin is thrown, sample space = {H, T}
Both head and tail are equally likely to occur.
P (tail) = 1/2
Learn more about probability here
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#SPJ2
3
Abox of cereal states that there are 84 calories in a
4
-cup serving. What is the unit rate for calories
per cup? How many calories are there in 4 cups of the cereal?
Answer:
21 calories per cup
Step-by-step explanation:
4cups↔84calories
1cup ↔less
1/4x84=21calories
Picture below! Plz, answer ASAP. Brainilest will be given!
Answer:
C
Step-by-step explanation:
just use calculator
Solve for x: 34= -2
x= ????
Answer:
You haven't typed the equation correctly
x=-17
Step-by-step explanation:
what is 5/8x+4=3/8x+12
Answer:
x = 32
(The answer should be 32 if we are solving for x)
For a standard normal distribution, find:
P(z < 2.51) =
Answer:
P(z < 2.51) ≈ 0.994
Step-by-step explanation:
P(z < 2.51) = normalcdf(-1e99,2.51,0,1) = 0.9939634253 ≈ 0.994
What is the in minute taken to cover 8.1km at an average speed of 5m/s
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Answer:
27 minutes
Step-by-step explanation:
The relevant relations are ...
1 min = 60 s
1 km = 1000 m
time = distance/speed
__
time = (8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s))
= (8.1×1000)/(5×60) min = 27 min
It takes 27 minutes to cover 8.1 km at a speed of 5 m/s.