Answer:
9
Step-by-step explanation:
-3^3 +5*(3)^2 +3*-3
-27+5*9+(-9)
-27+45-9
=9
Answer:
Step-by-step explanation:
Wherever you see an x, put in -3
y=(-3)^3 + 5(-3)^2 + 3(-3)
y = - 27 + 5 * 9 + -9
y = -27 + 45 - 9
y = 9
The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.70 meters and the sample standard deviation was 1.17 meters.
a. Construct and interpret a 95% confidence interval for m, the population mean following distance while talking on a mobile phone for the population of taxi drivers.
b. What assumption must be made to generalize this confidence interval to the population of all taxi drivers in Greece?
a. The population of taxi drivers in Greece falls between 3.3766 meters and 4.0234 meters.
b. The assumption is that the sample of 50 taxi drivers is representative of the population.
a.
To construct a 95% confidence interval for the population mean following distance while talking on a mobile phone, we can use the formula:
Confidence Interval = sample mean ± (critical value × standard error)
The standard error:
Standard Error = sample standard deviation / √(sample size)
Standard Error = 1.17 / √(50)
Standard Error = 0.165
Since the sample size is large (n > 30), we can use the Z-table to find the critical value.
For a 95% confidence level, the critical value is approximately 1.96.
Now we can construct the confidence interval:
Confidence Interval = 3.70 ± (1.96 × 0.165)
Confidence Interval = 3.70 ± 0.3234
Confidence Interval = (3.3766, 4.0234)
Interpretation: We are 95% confident that the true population means following distance while talking on a mobile phone for the population of taxi drivers in Greece falls between 3.3766 meters and 4.0234 meters.
b.
The assumption that must be made to generalize this confidence interval to the population of all taxi drivers in Greece is that the sample of 50 taxi drivers is representative of the population. It is assumed that the sample was randomly selected and that the taxi drivers included in the study are a fair and unbiased representation of all taxi drivers in Greece.
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Help pleaseee is for now
Answer: it’s none. Because: all of them don’t fit in perfectly.
How many integers satisfy each inequality?
102 < x <105
Answer:
2
Step-by-step explanation:
The 2 integers are 103 and 104
Answer:
2
Step-by-step explanation:
103, 104
This list shows the numbers of times a gym member visited their gym in a month.
8, 10, 2, 5, 1, 22, 16, 15, 20
What is the range of the number of gym visits?
12
20
21
22
Answer:
C:21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
range is the difference between the lowest and highest value. 22-1=21
which situation could be represented by -5 x 3
Answer:
-15
Step-by-step explanation:
Answer:
(-5) x 3 + -15
Step-by-step explanation:
I need help the question is what is the are of the composite figure
Answer:
Option 4
Step-by-step explanation:
Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and 'h' is the height between the bases.
Area of the composite figure = Area of two trapezoids given
= [tex]\frac{1}{2}(12+12)14+\frac{1}{2}(25+31)11[/tex]
= [tex]\frac{1}{2}(24)(14)+\frac{1}{2}(56)(11)[/tex]
= 168 + 308
= 476 square ft
Option 4 is the answer.
do you know the answer?
if you do then put the answer
2. What is the solution to the inequality
--4x > 132? Show your work
Answer:
x < -33 ( mark me as the brainliest )
Step-by-step explanation:
1) -4x > 132
2) -4x/4 > 132/-4
3) x < -33
3) Jacob has 4 granola bars. He cuts them into pieces that are 1/3 of a bar each. After he cuts the 4 bars, how many pieces does Jacob have?
Answer:
12
Step-by-step explanation:
if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.
After he cuts the 4 bars, there are 12 pieces Jacob have.
What is division?Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.
Jacob has 4 granola bars.
He cuts them into pieces that are 1/3 of a bar each.
After he cuts the 4 bars.
After he cuts the 4 bars, how many pieces Jacob has is determined in the following steps given below.
[tex]\rm = \dfrac{Total \ granola \ bars}{Cut \ pieces}\\\\= \dfrac{4}{\dfrac{1}{3}}\\\\=\dfrac{4}{0.33}\\\\= 12.12\\\\= 12 \ apporx[/tex]
Hence, After he cuts the 4 bars, there are 12 pieces does Jacob have.
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X - 7 = -1, what does 'x' equal?
Answer:
x=6
Step-by-step explanation:
x-7=-1 add -1 to other side of the equation
x-6=0 add six to the zero
x=6
Choose all the multiples of 6.
48
18
36
12
22
16
38
Answer:
48, 18, 36, 12
Step-by-step explanation:
6 evenly goes into all of them
An incomplete sentence is given. “The value of 2 x 1014 is times the value of 4 x 106" What number correctly completes the sentence?
Answer:
0.00000002
Step-by-step explanation:
Let the unknown number be x.
Translating the word problem into an algebraic expression, we have;
2 * 10¹⁴ * x = 4 * 10⁶
To find the value of x;
x = 4 * 10⁶/2 * 10¹⁴
x = 2 * 10^{-8}
Therefore, the value of 2 x 10¹⁴ is 0.00000002 times the value of 4 x 10⁶
P=6 and q=5, what is the value of 3pq
Answer:
90
Step-by-step explanation:
3pq
3×6×5=90
mark as brainliest please
Is this question correct? I know the 96 part is but i'm not sure about part A
One bar of candy A and two bars of candy B have 777 calories. Two bars of candy A and one bar of candy B contain 783 calories. Find the caloric content of each candy bar.
Answer:
A has 263 calories
B has 257 calories
Step-by-step explanation:
system of equations:
a + 2b = 777
2a + b = 783
I multiplied the first equation by -2 to eliminate the 'a' terms
-2a - 4b = -1554
+ 2a + b = 783
-3b = -771
b = 257
solve for 'a'
a + 2(257) = 777
a + 514 = 777
a = 263
I need help with this please
Make a triangle with 36 unit area and 9 unit base
I cannot necessarily "make" a triangle, but I do know that the dimensions or measurements of the triangle would be:
area = 36 units
base = 9 units
height = 8 units
Solve using substitution
x-y= 6
4x+2y=36
please help im literally crying i cant fail this
Answer:
V = 189
Step-by-step explanation:
V= lwh/3 = 9·9·7/3 = 189
There are 20 pieces of fruit in a basket and 12 of them are oranges what percentage of the pieces of fruit in the basket or orange show your work in the box and circle your answer
Answer:
I have no clue good luck tho:)
Step-by-step explanation:
None :(
Anybody can tell me How to solve |8|+|-6|?
When Ricki walk to school on the sidewalk, she walks 7/10 mile. She then takes a shortcut across the field, which is 1/4 mile long. How long is Ricki's route to and from school?
_______ mile
Carl is on the school track team. To prepare for an upcoming race, he plans to run 217 miles total over the next 31 days. Write an equation to determine how many miles, m, he needs to run per day, assuming he runs the same amount each day. How many miles does Carl need to run each day?
Answer:
He needs to run 7 miles per day. 217/31 = 7m
Step-by-step explanation:
Sam can run
2 1/2 miles in 30 minutes. At this rate, how long would it take Sam to
run 4 miles?
15) Brenda walked 12.2 miles to raise money for her local food pantry. She
collected $44.50 for each mile she walked. How much money did Brenda
raise?
Answer:
542.9
Step-by-step explanation:
Please mark brainliest
Answer:
She raised: $542.9
12.2 × 44.5 = 542.9
If g(x)=(sin6x)+3 , determine g(15)
Answer:
6 × 15 equals 90, and the sine of 90° = 1. That gives us 1 + 3. The answer then is 4.
x
What is the angle of elevation of the sun when a 50-ft
mast casts an 18ft shadow? Round to the nearest
whole number.
Tano
50
Tan 0 =
18
0=
Opposite Leg
Adjacent Leg
Submit
50ft
How do I solve this please it’s the last problem
Answer:
[tex]\theta \approx 1.23^\circ[/tex]
Step-by-step explanation:
The expression has been given as:
[tex]tan(\theta) = \frac{50}{18}[/tex]
Required: Find [tex]\theta[/tex]
Simplify the fraction
[tex]tan(\theta) = 2.7778[/tex]
Take arc tan of both sides
[tex]\theta = tan^{-1}(2.7778)[/tex]
[tex]\theta \approx 1.23^\circ[/tex]
a+5 expressed as a difference
Answer:
A-(-5)
Step-by-step explanation:
Answer:
A-(-5)
Step-by-step explanation:
The first term of a geometric sequence
is -2. The common ratio is 4. What is
the 6th tem?
F -8192
H 2048
G -2048
J 8192
Answer:
Step-by-step explanation:
a₆ = a₁r⁶⁻¹ = (-2)4⁵ = -2048
The sixth term of the given sequence is required.
The required term is option G -2048.
Geometric sequencea = First term = -2
r = Common ratio = 4
n = Required term = 6
The general formula to find a term of the sequence is given by
[tex]a_n=ar^{n-1}[/tex]
Substituting the values we get
[tex]a_6=-2\times 4^{6-1}\\\Rightarrow a_6=-2\times 4^5\\\Rightarrow a_6=-2\times 4\times 4\times 4\times4\times 4\\\Rightarrow a_6=-2048[/tex]
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The perimeter of a rectangular lawn is 24m. If
the area of the lawn is 35m2; how wide is the
lawn?
Answer:
.
Step-by-step explanation:
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