Answer:
38.4[litres].
Step-by-step explanation:
[tex]1. \ the \ rule \ \frac{470.7[km]}{52.3[l]} =\frac{345.6[km]}{x};[/tex]
[tex]2. \ x=\frac{345.6*52.3}{470.7}=38.4[l].[/tex]
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision
Required:
a. For a test with a level of significance of 0.10, compute the critical value; set up the appropriate hypotheses and the calculate the p-value of the test
b. Will the null hypothesis will be rejected with a level of significance of 0.10? Explain why or why not?
Using the z-distribution, we have that:
a)
The hypothesis test is:
[tex]H_0: \mu = 7.4[/tex][tex]H_1: \mu < 7.4[/tex]The p-value is of 0.0668.
The critical value is [tex]z^{\ast} = -1.28[/tex]
b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
Item a:
At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:
[tex]H_0: \mu = 7.4[/tex]
At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:
[tex]H_1: \mu < 7.4[/tex]
We have the standard deviation for the population, hence, the z-distribution is used.
The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]
[tex]z = -1.5[/tex]
Using a z-distribution calculator, the p-value is of 0.0668.
Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of [tex]z^{\ast} = -1.28[/tex].
Item b:
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918
check whether the given fraction are equivalent
a) 7 /13 ,5/11
Answer:
No
Step-by-step explanation:
Not equivalent
7/13 ≠ 5/11
x=4y,2x+y=18 solve by substitution show all work
What is the simplified form of
3+2−14−24
−4
when x ≠ 4?
A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.
Write an equation that relates C, x and y.
Answer:
Cy-Cx=10,000 this is the best answer ever
Combine the like terms to create an equivalent expression.
large 9p+3p
Answer:
12p
Step-by-step explanation:
9p+3p=12p
Crystal's yearly income is $25,000, and the cost
of her rent for the year is $7,500. What fraction
of her yearly income does she spend on rent?
A. 1/4
B. 3/10
C. 2/5
D. 2/7
find the value of x
if the two coffee shops combine their supplies, how many stirrers will they have for tousday?
Answer:
50?
Step-by-step explanation:
it's 50 20+25i don't even know if this is the correct answee
A package weighs P pounds P being a whole number. to ship this package by express costs one dollar and sixty five cents for the first five pounds and twelve cents for each additional pound. the total shipping cost is three dollars and forty five cents. how many pounds of the package weigh?
I give brainliest to first answer
What is the number of solutions to the system of
equations?
Infinitely Many
Solutions
No Solution
One Solution
Two Solutions
Answer:
infinitely many solutions
Step-by-step explanation:
The lines over lap
SOMEONE PLS GIVE ME THE ANSWER AND NO FREAKING LINKS.
Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.
Answer:
8.9443
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
(x2-x1) = (-9 - -1) = -8
(y2-y1) = (2 - -2) = 4
Square the results and sum them up:
(-8)2 + (4)2 = 64 + 16 = 80
Now Find the square root and that's your result:
Exact solution: √80 = 4√5
Approximate solution: 8.9443
PLS HELPPPPPPPPPPPPPPPPPPPPPPP
What is the hardest metal
if you get it right I'll give you brainliest
Answer:
is tungtset i tink not sure bout
Step-by-step explanation:
mark me brainlest plz
How many beads would the jeweler need to make 10 bracelets?
Answer:
50 ?
Step-by-step explanation:
You didn't give any detail about how many beads it takes to make one bracelet
someone please help this is due in 25 minutes
Because it is an isosceles triangle, the 2 sides that are given will be equal to each other.
15=4x+3
(subtract 3 on both sides)
12=4x
(divide by 4 on both sides)
x=3
Hope it helps!
Answer:
x = 3.
Step-by-step explanation:
1. 4x + 3 = 15
2. Subtract 3 from both sides.
3. Divide by 4 from both sides.
You roll a six sided die. You are given $8 if a 6 comes up, $2 if a 3, 4, 5 comes up, and
nothing otherwise. Find the expected value of the entries.
Expected Value Table for rolling a six-sided die
We want to get the expected value for the given experiment. We will see that the expected value is $2.33
For an experiment with outcomes {x₁, ..., xₙ} each one with probability {p₁, ..., pₙ} the expected value is defined as:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have 3 outcomes:
x₁ = winning $8x₂ = winning $2x₃ = winning $0.For x₁ we need to roll a 6, this is a probability of 1 out of 6, then:
p₁ = 1/6
For x₂ we need to roll a 3, 4, or 5 (3 out of 6), then:
p₂ = 3/6
For x₃ we need to roll a 1 or a 2 (2 out of 6) so the probability is:
p₃ = 2/6
Then the expected value is:
EV = $8*(1/6) + $2*(3/6) + $0*(2/6) = $2.33
If you want to learn more about expected values, you can read:
https://brainly.com/question/15858152
Logan and his sister, Tessa, are baking oatmeal raisin cookies. Logan uses 1.25-ounce scoops
of dough to form his cookies, and Tessa uses 1 12 -ounce scoops for hers.
Who is making bigger cookies?
Answer:
Logan is making bigger cookies
Step-by-step explanation:
1.25 > 1.12
Help meeeeeeeeeeeeeeee
Answer:
D.
Step-by-step explanation:
Complementary angles are two angles whose measures add to 90°.
A.
m<CFD = 150° - 100° = 50°
m<EFD = 180° - 150° = 30°
Sum = 80°
No
B.
m<AFB = 40°
m<DFE = m<EFD = 30°
Sum = 70°
No
C.
m<AFC = 100°
Sum > 100°
No
D.
m<BFC = 100° - 40° = 60°
m<DFE = 30°
Sum = 90°
Yes
Answer: D.
Express 29 and 37 as the sum of two squares.
If you can answer the correct answer first, then I will mark brainliest.
Answer:
See below
Step-by-step explanation:
[tex] {5}^{2} + {2}^{2} = 25 + 4 = 29 \\ \\ {6}^{2} + {1}^{2} = 36 + 1 = 37[/tex]
The values are 29 = 5² + 2² and 37 = 6² + 1².
What is square of number?The definition of a square number states that they are numbers that have been multiplied by themselves. In other terms, a natural number is referred to as a square number if it is multiplied by itself.
Decimal squares are fairly simple to calculate, and the process is the same for both whole numbers (integers) and decimals.
Given numbers 29 and 37
to express in form of sum of two square
let = 29 = a² + b²
the perfect square number near 29 is 25
29 = 25 + 4
29 = 5² + 2²
and 37 = a² + b²
the perfect square near 37 is 36
37 = 36 + 1
37 = 6² + 1²
Hence the numbers in sum of two squares are,
29 = 5² + 2² and 37 = 6² + 1²
Learn more about square of number;
https://brainly.com/question/28610159
#SPJ2
4) A jet travels 450 miles in 2 hours. At this rate, how far could the jet fly in
14 hours? What is the rate of speed of the jet?
3150 miles in 14 hrs
225 mph
hope this helps!
PLease help ................................................................
Answer:
if it is an a or b B is the best answer but if it a true of false. the answer is true
Step-by-step explanation:
Please answer!!!!!!!!!!!!!! 25 PTS!
Answer:
b
Step-by-step explanation:
b
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Answer:
This question is straightforward if you find different triangles in the figure itself.
Property of a triangle: All internal angles of a triangle must add up to 180°
Take a look at Triangle DBH.
Method A
Angle BHD = 180°-33°-46° (sum of angles in a triangle)
= 101°
Property of angles on a straight line: All angles on a straight line must add up to 180°
Angle x = 180°-101° (supplementary angles)
= 79°
Method B
Take a look at Triangle DBH.
Property of exterior angle (in this case, angle x): An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
Angle x = 33°+46°
= 79°
True or false 6 to the 3 power = 216
Answer:
True
Step-by-step explanation:
6^3, or 6x6x6, is equal to 216.
---
hope it helps
Answer:
true
Step-by-step explanation:
1. Which of the following is not an undefined term in
Euclidean geometry?
a. plane
b. point
c. bisector
d. line
Answer:
c. bisector
Explanation:
"There are, however, three words in geometry that are not formally defined. These words are point, line and plane, and are referred to as the 'three undefined terms of geometry'"
If point, line, and plane are all undefined terms in Euclidean geometry, then that only leaves one answer left, c. bisector.
Will mark Brainliest
In questions 6 – 9, state the solutions for the quadratic equation depicted in the graph.
A survey of students in a large introductory statistics
class asked about their birth order (1 oldest or only
child) and which college of the university they were
enrolled in to the right is a table showing the results.
Suppose a student is selected at random from this
class. Complete parts a through d below:
Answer:
You have to show the table, not enough information is given here
Step-by-step explanation:
Find three consecutive even numbers such that the difference
between the square of the third and twice the square of the first is 32
The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza? Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
Box
Area of the box
Area = s^2
s = 12 inches
Area = 12^2
Area = 144
Pizza
Area = pi r^2
Area = 3.14 * 5^2
Area = 25 * 3.14
Area = 78.5
Difference = 144 - 78.5
Difference = 65.5