Answer:
The correct test statistic for the hypothesis test is [tex]t = -1.87[/tex]
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 16[/tex]
The alternate hypotesis is:
[tex]H_{1} < 16[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
In this question:
[tex]X = 15.6, \mu = 16, s = 0.8, n = 14[/tex]
So
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{15.6 - 16}{\frac{0.8}{\sqrt{14}}}[/tex]
[tex]t = -1.87[/tex]
The correct test statistic for the hypothesis test is [tex]t = -1.87[/tex]
Hypothesis test used to check the results of the experiments gives true for the meaningful results.. The correct test statistic for the hypothesis test is -1.871.
Given information-
The mean battery life of the laptop is 16 hours claimed by the company.
The random sample for the test is 14.
Average life of the batteries found out as 15.6 hours.
The deviation for this result is 0.8 hours.
What is hypothesis test?Hypothesis test used to check the results of the experiments gives true for the meaningful results.
As the mean battery life of the laptop is 16 hours claimed by the company.The null hypothesis for the given problem is,
[tex]H_o\mu=16[/tex]
As average life of the batteries found out as 15.6 hours. Thus the alternate hypothesis for the given problem is,
[tex]H_1\mu<16[/tex]
One sample t test can be found using the below formula,
[tex]t=\dfrac{\overline x -\mu_o}{\dfrac{s}{\sqrt{n} } }[/tex]
Here, [tex]\overline x[/tex] is mean value, [tex]n[/tex] is the number of random sample and [tex]s[/tex] is the deviation.
Put the values,
[tex]t=\dfrac{15.6 -16}{\dfrac{0.8}{\sqrt{14} } }\\t=-1.871[/tex]
Thus the correct test statistic for the hypothesis test is -1.871.
Learn more about the hypothesis here;
https://brainly.com/question/2695653
Which of the following statements is FALSE? The correlation coefficient equals the proportion of data points that lie on a straight line. The correlation coefficient will be +1.0 only if all the data lie on an upward-tilting straight line. The correlation coefficient is undefined if all the data lie on a perfectly horizontal straight line. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
Answer:
The first one is False.
Step-by-step explanation:
If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.
Six minus a number divided by 3 equals 8. What is the number?
Answer:
-18
Step-by-step explanation:
let n be the number
(6-n)/3 = 8
6-n = 24
6-24 = n
-18 = n
Answer:
The number is 30
Step-by-step explanation:
Six minus a number divided by 3 equals 8
x-6/3 = 8
x-6 = 8*3
x = 24 +6
x = 30
The sum of five consecutive integers is 70. What are the numbers?
Answer: The numbers are 12, 13, 14, 15, and 16.
Step-by-step explanation:
Write an algebraic equation.
x + (x+1) + (x+2) + (x+3) + (x+4) = 70
5x + 10 = 70
subtract 10 from both sides
5x = 60
divide each side by 5
x = 12
The numbers are 12, 13, 14, 15, and 16.
Answer:
12 to 16 :) hope it helped
if I bought 6 apples and 1 pair for $2.00 HOW MUCH WAS EACH ITEMS COST?
Answer:
$6.00
Step-by-step explanation:
6 apples = 3 pairs
1 pair=$2.00
3 pair=
$6.00
Micheal buys a basket of mangoes on sale for 4 dollars before tax. The sales tax is 12%. What is the total price Micheal pays for the basket of mangoes?
Answer:
$[tex]4.48[/tex] is the total price.
Step-by-step explanation:
Mulitply the total by the percentage.
[tex]4 * .12 = .48[/tex]
Add those together.
[tex]4 + .48 = 4.48[/tex]
Total price of mangoes: $[tex]4.48[/tex]
Solve for x - y = -3
Answer:
0-3=-3
Step-by-step explanation:
Find the area of the triangle
Answer:
84mm
Step-by-step explanation:
Formula of a triangle:
A =bh/2
A=14(12)/2
A=168/2
A=84mm
A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?
Answer:
Volume is increased in a factor of 8. The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].
Step-by-step explanation:
The formula for the volume of the rectangular prism is:
[tex]V = w\cdot h \cdot l[/tex]
Where:
[tex]w[/tex] - Width
[tex]h[/tex] - Height
[tex]l[/tex] - Length
If dimensions are doubled, then volume is increased in a factor of 8:
[tex]V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)[/tex]
[tex]V_{f} = 8\cdot w \cdot h \cdot l[/tex]
[tex]V_{f} = 8 \cdot V_{o}[/tex]
The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].
How do you determine similarities in shapes?
Answer:
Step-by-step explanation:
. if every corresponding internal angles in both shapes are equal
. if all corresponding sides are equal or have same ratio.
more rules but depends on the shape also ( triangle, rectangle, hexagon,...)
g(x) = - 3x - 8
g (____) =10
The mean life of a tire is 30,000 km. The standard deviation is 2000 km. 95% of all tires will have a life between___ km and ___km.
Answer:Need more infromation
Answer:
Between 26,000 and 34,000 km.
Step-by-step explanation:
95% of a data set will be within 2 standard deviations of the mean.
Therefore, the range will be from "μ - 2σ" to "μ + 2σ".
what is the sum of 21 and 5 times a number f is 61
Answer:
Answer is below
Step-by-step explanation:
21 + 5f = 61 Turn the words into an equation
-21 - 21 Subtract 21 from both sides
5f = 40 Divide both sides by 5
f = 8
If this answer is correct, please make me Brainliest!
Answer:
[tex]f = 8[/tex]
Step-by-step explanation:
[tex]21 + 5f = 61 \\ 5f = 61 - 21 \\ 5f = 40 \\ \frac{5f}{5} = \frac{40}{5} \\ f = 8[/tex]
Hope this helpsBrainliest Appreciated.Which shows the decimal 0.16 expressed as a fraction in the simplest form?
Answer:
.16 = 16/100= 8/50= 4/25
Step-by-step explanation:
Answer:
decimal: 0.16
fraction: 4/25
percentage: 16%
Step-by-step explanation:
6 to the power of 3 +7 times 4
Answer:
892
Step-by-step explanation:
Can someone help ??
Answer:
A. is 10/12 B. is 8/28 C. is 20/45
Step-by-step explanation:
I think
The quadratic equation x^2 - 8x = -4 is rewritten in the form (x + p)^2 = q. when q is a constant. What is the value of p ?
Answer:
-4
Step-by-step explanation:
If you multiply out the square, you can see ...
(x +p)^2 = q
x^2 +2px +p^2 = q
The coefficient of the x-term is 2p, so ...
2p = -8
p = -8/2 = -4
solve for the coefficient -5=a(0-2)(0-3)(0-5)
Answer:
a = 1/6
Step-by-step explanation:
-5=a(0-2)(0-3)(0-5)
Simplify
-5=a(-2)(-3)(-5)
-5 = a(-30)
Divide each side by -30
-5/-30 = -30a/-30
1/6 =a
Answer:
1/6
Step-by-step explanation:
1. Si pide prestado $ 600 por siete años a una tasa de interés del 7%, ¿cuánto interés pagará?
Answer:
Su pago mensual sería de $9.06 (Espero que esto ayude)
Step-by-step explanation:
In a recent survey, 30 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 15 liked them mashed, 20 liked French fries, and 9 liked twice baked potatoes. Additionally, 12 students liked both mashed and fried potatoes, 5 liked French fries and twice baked potatoes, 6 liked mashed and baked, and 3 liked all three styles. How many students hate potatoes? (4 points)
Answer:
Totally 6 people hate potatoesStep-by-step explanation:
Incase the figure is not clear
here, it is
⇒ 30 = 15 + 20 + 9 - 12 - 6 - 5 + 3 + h
⇒ h = 30 - 44 - 3 + 23
⇒ h = 53 - 47
h = 6
Hence, Totally 6 people hate potatoes
Answer: 6 students hate potatoes.
Step-by-step explanation:
The Venn diagram representing the situation is shown in the attached photo.
Set M represents the set of students that like mashed potatoes.
Set F represents the set of students that like French fried potatoes.
Set T represents the set of students that like Twice-baked potatoes.
H represents the number of students that hate potatoes.
3 liked all three styles
The number of students that like mashed and twice baked potatoes only is 6 - 3 = 3
The number of students that like mashed and French fried potatoes only is 12 - 3 = 9
The number of students that like twice baked and French fried potatoes only is 5 - 3 = 2
The number of students that like mashed potatoes only is 15 - (9 + 3 + 3) = 0
The number of students that like French fried potatoes only is 20 - (9 + 3 + 2) = 6
The number of students that like twice baked potatoes only is 9 - (3 + 3 + 2) = 1
Since the total number of students is 30, it means that
0 + 6 + 1 + 3 + 9 + 2 + 3 + H = 30
24 + H = 30
H = 30 - 24
H = 6
an automobile traveled 21 miles north from the airport. it then turned directly west and traveled 28 miles. how far is the automobile from the airport??
The automobile is 35 miles away from the airport
ESSON 3 REFINE
The rectangular prism shown below has a volume of 42 cubic
meters. What is the length of the prism? Show your work
What dim
labeled
prisma
3 m
2 m
Answer:
The length of the prism = 3m
See below for explanation
Step-by-step explanation:
The question is incomplete without the diagram stated in the question.
Since the diagram is missing, I'll show you how you can determine the length of a prism.
Volume of prism = length × width × height = l×w×h
Find attached below the diagram used in solving the question.
From the diagram,
height = 7m
Width = 2m
Given that the volume of prism = 42 cubic meters = 42m³
Length of prism = ?
Inserting the values of the variables:
42 = l×2×7
42 = 14×l
l = 42/14
l = 3
The length of the prism = 3m
Look at recent question
Answer:
ok was it college math if so the I don't know
Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = 2x − 4x3, a = −1 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 − 10(x + 1) + 12(x + 1)2 − 4(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 − 10(x + 1) + 4(x + 1)2 − 12(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 + 10(x + 1) + 12(x + 1)2 + 4(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 − 12(x + 1) + 10(x + 1)2 − 4(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 + 10(x + 1) + 4(x + 1)2 + 12(x + 1)3
Answer:
f(x) = 2 - 10 (1 + x) + 12 (1 + x)^2 - 4 (1 + x)^3
Step-by-step explanation:
The general form of the series is shown in the attachment. For the purpose here, we need to evaluate f(-1), f'(-1), f''(-1) and so on.
f(x) = 2x -4x^3; f(-1) = 2(-1)(1 -2(-1)^2) = (-2)(-1) = 2
f'(x) = 2 -12x^2; f'(-1) = 2 -12(-1)^2 = -10
f''(x) = -24x; f''(-1) = -24(-1) = 24
f'''(x) = -24; f'''(-1) = -24
So, the series is ...
f(x) = 2 -10(x +1)/1! +24(x +1)^2/2! -24(x +1)^3/3!
f(x) = 2 -10(x +1) +12(x +1)^2 -4(x +1)^3 . . . . . . . matches the first choice
Factorise 2y^2 + y + 6xy + 9x - 3
Answer: (2y+3)(3x+y-1)
Step-by-step explanation:
First regroup the terms.
6xy+9x+2y^2+y-3
Second factor 3x out of 6xy+9x
3x(2y)+9x+2y^2+y-3
3x(2y)+3x(3)+2y^2+y-3
And you get
3x(2y+3)+2y^2+y-3
Third factor by grouping
Which is closest to the diference in the volume of the two cylinders? A-4cm and 18cm. B-5cm and 5cm, A. 15,795 cm3 B. 2,534 cm3 C. 806 cm3 D. 512 cm3
Answer:
Difference in the volume = 512 cm³ (Approx)
Step-by-step explanation:
Given:
Radius of cylinder A (r1) = 4 cm
Height of cylinder A (h1) = 18 cm
Radius of cylinder B (r2) = 5 cm
Height of cylinder B (h2) = 5 cm
Find:
Difference in the volume.
Computation:
Difference in the volume = Volume of cylinder A - Volume of cylinder B
[tex]Difference\ in\ the\ volume = \pi (r1)^2(h1)- \pi (r2)^2(h2)\\\\Difference\ in\ the\ volume = \pi (4)^2(18)- \pi (5)^2(5)\\\\Difference\ in\ the\ volume = \pi (16)(18)- \pi (25)(5)\\\\Difference\ in\ the\ volume =905.3-392.5\\\\Difference\ in\ the\ volume = 512.8[/tex]
Difference in the volume = 512 cm³ (Approx)
In the phrase “rise over sun” shat does “rise” indicate?
Complete the five-number summary for the data set: 5, 2, 1, 3, 3, 6, 4, 2, 7.
you type in the answer
Answer:
NOOO OYU TYPE INTHE ANSWER
Step-by-step explanation:
Write the following trigonometric ratio using an acute angle: tan 162 degrees
Answer:
-tan(18°) or tan(-18°)
Step-by-step explanation:
The angle given is in the 3rd quadrant, so the tangent is negative. The reference angle is ...
180° -162° = 18°
Tangent is an odd function, so ...
tan(-x) = -tan(x)
This means we can write the required ratio two ways:
tan(-18°)-tan(18°)Marco bought gifts for his family at the school gift shop for the holidays. Marco bought 10gifts and spent $11.50. How many of each item did he buy if friendship bracelets cost $1.50 and stickers cost $1?
Step-by-step explanation:
Marco bought 10 gifts = 11. 50
If 5 bracelets = 1.50 x 5 = 7.5
4 stickers = 4 x 1 = 4
So total cost = 7.5 + 4 = 11.5
The formula A=12(b+c)h. Write the equation in term of c?
Answer:
[tex]c = \frac{A}{12h} - b[/tex]
Step-by-step explanation:
Okay, so the goal is to isolate c on one side with all the other terms on the other side. So, let's start by dividing both sides with 12h. After we do that, we will be left with [tex]\frac{A}{12h} = b+c[/tex]. Now, we can subtract both sides by b, and we will be left with [tex]\frac{A}{12h} - b = c[/tex]. Yay! We've now isolated c and that is our final answer!
Hope this helped! :)
