Answer:
The mean life is actually less than the 100 hours the company claims.
Step-by-step explanation:
In this case we need to test whether the mean life is actually less than the 100 hours the company claims.
The information provided is:
[tex]n=20\\\bar x=98.5\\s=0.777[/tex]
The hypothesis for the test can be defined as follows:
H₀: The mean life 100 hours, i.e. μ = 100.
Hₐ: The mean life is actually less than the 100 hours, i.e. μ < 100.
Assume the significance level as 5%.
As the population standard deviation is not known we will use a t-test for single mean.
Compute the test statistic value as follows:
[tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{98.5-100}{0.777}=-1.93[/tex]
Compute the p-value of the test as follows:
[tex]p-value=P(t_{n-1}<-1.93)=P(t_{19}<-1.93)=0.034[/tex]
*Use a t-table.
Thus, the p-value of the test is 0.034.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
p-value = 0.034 < α = 0.05
The null hypothesis will be rejected at 5% level of significance.
Thus, concluding that the mean life is actually less than the 100 hours the company claims.
To qualify for a police academy, applicants are given a test of physical fitness
A flower vase has a volume of 1480 cubic centimeters (cm3). Use the fact
that 1 inch is equal to 2.54 cm to convert this volume to cubic inches (in).
Round your answer to the nearest tenth. Do not type the units in the space
below.
Answer:
The volume of the flower vase is 90.3 cubic inches.
Step-by-step explanation:
Dimensionally speaking, volume [tex][V][/tex] is equivalent to the product of length [tex][L][/tex], length [tex][L][/tex] and length [tex][L][/tex]. That is:
[tex][V] =[L]\times [L]\times [L][/tex]
In this case, an inch equals 2.54 centimeters and we proceed to convert the given volume of the flower vase as follows:
[tex]V = 1480\,cm^{3}\times \frac{1\,in\times 1\,in\times 1\,in}{2.54\,cm\times 2.54\,cm\times 2.54\,cm}[/tex]
[tex]V = 90.3\,in^{3}[/tex]
The volume of the flower vase is 90.3 cubic inches.
Plz answer the question ASAP i reposted it since the last answer I got was weird
Answer:
46
Step-by-step explanation:
46 I believe. I think it's 46. Don't count the units on the corners
If f(x) = 5x, what is y(x)?
1. F^1(x)=-5x 2. F^1(x)=-1/5x 3. F-1(x)1/5x 4. F-1(x)=5x
Answer:
f^-1 (x) = x/5
Step-by-step explanation:
f(x) = 5x
Replace f(x) with y
y= 5x
Exchange x and y
x = 5y
Solve for y
Divide each side by 5
x/5 = 5y/5
x/5 = y
The inverse is x/5
A farmer decided to put a fence around his property that measures 170 feet long and 120 feet wide. What is the perimeter of his property?
Answer: 580
Step-by-step explanation:
A fence is usually a rectangle shape in these questions
Perimeter of a rectangle is P = 2l + 2w
P = 2(170) + 2(120) = 580
Leila’s class has a female student-to-male student ratio of 3:2. If Leila’s class has 18 girls, how many boys does she have?
WILL RECIEVE BRAINLIST
Athe answer is 12
Step-by-step explanation:
just divide 18 by 3 and then you get 6 and multiply 2 by 6 and you get 12 hope this helps
Is the equation y = 7.9x a linear or nonlinear function? Explain.
Answer:
Linear
Step-by-step explanation:
If its linear it fits into the y=mx+b, and this on does so its linear
Help please algebra one ten points !!!
Answer:
a
Step-by-step explanation:
Please help I will put brainliest
Answer:
=−3125x^10y^25
Step-by-step explanation:
Given a standard normal distribution, find the area under the curve that lies (a) to the left of z = −1.39; (b) to the right of z = 1.96; (c) between z = −2.16 and z = −0.65; (d) to the left of z = 1.43; (e) to the right of z = −0.89; (f) between z = −0.48 and z = 1.74.
Complete Question
Given a standard normal distribution, find the area under the curve that lies
(a) to the left of z = −1.39;
(b) to the right of z = 1.96;
(c) between z = −2.16 and z = −0.65;
(d) to the left of z = 1.43;
(e) to the right of z = −0.89;
(f) between z = −0.48 and z = 1.74.
Answer:
a
[tex]P(Z < -1.39) = 0.082264[/tex]
b
[tex]P(Z > 1.96) = 0.025[/tex]
c
[tex]P(-2.16 < Z < -0.65 ) =0.2457[/tex]
d
[tex]P(Z < 1.43) = 0.92364[/tex]
e
[tex]P(Z > -0.48) = 0.68439[/tex]
f
[tex]P(-0.48 < Z < 1.74 ) =0.6435[/tex]
Step-by-step explanation:
Considering a
From the question we are told that
The z-score is z = -1.39
Generally from the z table the area under the curve that lies to the left of z = -1.39 is
[tex]P(Z < -1.39) = 0.082264[/tex]
Considering b
From the question we are told that
The z-score is z = 1.96
Generally from the z table the area under the curve that lies to the right of z = 1.96 is
[tex]P(Z > 1.96) = 0.025[/tex]
Considering c
From the question we are told that
The z-score is z = −2.16 and z = −0.65
Generally from the z table the area under the curve that lies between z = −2.16 and z = −0.65;
[tex]P(-2.16 < Z < -0.65 ) = P(Z < -0.64 ) - P( Z < -2.16)[/tex]
From the z table the area under (Z < -0.64 ) and ( Z < -2.16) is
[tex]P(Z < -0.64 ) = 0.26109[/tex]
and
[tex]P( Z < -2.16) = 0.015386[/tex]
So
[tex]P(-2.16 < Z < -0.65 ) =0.26109- 0.015386[/tex]
=> [tex]P(-2.16 < Z < -0.65 ) =0.2457[/tex]
Considering d
From the question we are told that
The z-score is z = 1.45
Generally from the z table the area under the curve that lies to the left of z = 1.43 is
[tex]P(Z < 1.43) = 0.92364[/tex]
Considering e
From the question we are told that
The z-score is z = -0.48
Generally from the z table the area under the curve that lies to the right of z = 0.48 is
[tex]P(Z > -0.48) = 0.68439[/tex]
Considering f
From the question we are told that
The z-score is z = −0.48 and z = 1.74
Generally from the z table the area under the curve that lies between z = −2.16 and z = −0.65;
[tex]P(-0.48 < Z < 1.74 ) = P(Z < 1.74 ) - P( Z < -0.48)[/tex]
From the z table the area under (Z < 1.74 ) and ( Z < -0.48) is
[tex]P(Z < 1.74 ) = 0.95907[/tex]
and
[tex]P( Z < -0.48 ) = 0.31561[/tex]
So
[tex]P(-0.48 < Z < 1.74 ) = 0.95907 - 0.31561[/tex]
=> [tex]P(-0.48 < Z < 1.74 ) =0.6435[/tex]
The standard normal table shows the mathematical table which represent the value below a z-score in standard normal distribution. It is also known as z-table.
(a) The correct answer is 0.082264.
(b) The correct answer is 0.025
(c) The correct answer is 0.2457.
(d) The correct answer is 0.68439.
(e) The correct answer is 0.6435
Given:
(a)
The z-score is z = -1.39
Refer the z-table area under the curve that lies to the left of [tex]z=-1.39[/tex],
[tex]P(Z<-1.39)=0.082264[/tex]
(b)
.The z-score is z = 1.96
Refer the z-table area under the curve that lies to the right of [tex]z=1.96[/tex],
[tex]P(Z>1.96)=0.025[/tex]
(c)
The z-score is [tex]z = -2.16[/tex] and [tex]z=-0.65[/tex]
Refer the z-table area under the curve that lies between [tex]z = -2.16[/tex] and [tex]z=-0.65[/tex],
[tex]P(-2.16<Z<-0.65)=P(Z<-0.64)-P(Z<-2.16)[/tex]
Thus,
[tex]P(Z<-0.64)=0.26109\\P(Z<-2.16)=0.015386\\P(-2.16<Z<-0.65)=0.26109-0.015386\\P(-2.16<Z<-0.65)=0.2457[/tex]
(d)
The z-score is [tex]z =1.45[/tex]
Refer the z-table area under the curve that lies to the right [tex]z = 1.45[/tex],
[tex]P(Z<1.45)=0.92364[/tex]
(e)
The z-score is [tex]z = -0.48[/tex]
Refer the z-table area under the curve that lies to the right [tex]z = -0.48[/tex],
[tex]P(Z>-0.48)=0.68439[/tex]
(f)
The z-score is [tex]z =-0.48[/tex] and [tex]z = 1.74[/tex]
Refer the z-table area under the curve that lies between [tex]z =-0.48[/tex] and[tex]z = 1.74[/tex],
The z table the area under [tex](Z < 1.74 )[/tex] is,
[tex]P(Z<1.74)=0.95907[/tex]
The z table the area under [tex](Z < -0.48 )[/tex] is,
[tex]P(Z<-0.48)=0.31561[/tex]
Calculate the area under the curve that lies between [tex]z =-0.48[/tex] and[tex]z = 1.74[/tex],
[tex]P(-0.48<Z<1.74)=P(Z<1.74)-P(Z<-0.48)\\P(-0.48<Z<1.74)=0.95907-0.31561\\P(-0.48<Z<1.74)=0.6435[/tex]
Thus,
(a) The correct answer is 0.082264.
(b) The correct answer is 0.025
(c) The correct answer is 0.2457.
(d) The correct answer is 0.68439.
(e) The correct answer is 0.6435
Learn more about z-table here:
https://brainly.com/question/24163209
Olivia drove 883 miles from San Francisco to Seattle in 4 days she drove the same number of miles each day how many miles did Olivia drive each day
Answer:
She drove 220.75 miles each day.
Step-by-step explanation:
883÷4
Answer:
She drove 220.45 because you get that answer if you divide 883 by 4
A bag contains 8 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?
What percent of 16 is 50% of 50% of 48?
Answer:
150
Step-by-step explanation:
x %* 16 = 50% * 48
[tex]\frac{x}{100} = \frac{0.5 *48}{16} = \frac{24}{16} = \frac{6}{4} = \frac{3}{2} \\x = \frac{300}{2} = 150\\[/tex]
I guessed 50% is typed wrongly twice so I solved once with 50%
75% of 16 is equal to 50% of 50% of 48.
Percentage of 16 equivalent to 50% of 50% of 48 to be evaluate.
Percentage is the matter of composition per unit whole composition.
Let x% of 16 = 50% of 50% of 48
x/100 *16 = 1/2*1/2*48
x/100*16 = 12
x = 12/16 * 100
x = 75%
Thus, 75% of 16 is equal to 50% of 50% of 48.
Learn more about percentage here:
brainly.com/question/13450942
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What's the 10th term of y= 10x - 2. This is math 1 freshman math arithmetic sequence
Answer:17 is your answer
Answer:
17
Step-by-step explanation:
Please help me!
what is $1500; 4%; 4 years?
a) $240
b) $120
c) $150
Write a quadratic equation in standard form with intergral coefficeints that has the roots 4 and -5.
Answer:
[tex]the \: quadratic \: equation \: is \to \: \\ \boxed{{x}^{2} + \: x \: -20 = 0}.[/tex]
Step-by-step explanation:
[tex]the \: general \: sandard \: form \: is \: given \: by : \\ ax {}^{2} + bx + c = 0 \to \\ since \: the \: roots \: are : \\ 4 \: and \: - 5 \\ we \: apply \: the \: rule \to \\ {x}^{2} - ( \alpha + \beta )x \: + \alpha \beta = 0 \\ therefore \: \to \\ {x}^{2} - ( 4+ ( - 5) )x \: + 4( - 5) = 0 \\ {x}^{2} + \: x \: -20 = 0.[/tex]
♨Rage♨
13 1/3% as a fraction
Answer:
1,333/100
Step-by-step explanation:
The reason is because a fraction can be divided. A fraction is out of a hundred. 13 by itself is equal to 1300/1000 by itself.
John had a 20 ounce bottle of water. He drank 12 ounces. What percent, p, is left in the bottle?
Answer:
40%
Step-by-step explanation:
Answer:
40%Step-by-step explanation:
Original Volume = 20 ounces
Remaining Volume = 20-12
= 8 ounces
Percentage :
[tex]\frac{8}{20}\times 100\\\\=\frac{800}{20} \\\\Simplify\\\\=40\%[/tex]
f(x) = 2x3 + 3x2 – 7x + 2
g(x) = 2x – 5
Find (f + g)(x).
Answer:
(f + g)(x) = 2x³ + 3x² - 5x - 3 ⇒ B
Step-by-step explanation:
Let us solve the question
∵ f(x) = 2x³ + 3x² -7x + 2
∵ g(x) = 2x - 5
→ (f + g)(x) means add f(x) and g(x)
∴ (f + g)(x) = (2x³ + 3x² - 7x + 2) + (2x - 5)
→ Add the like terms
∵ (f + g)(x) = 2x³ + 3x² + (-7x + 2x) + (2 - 5)
∴ (f + g)(x) = 2x³ + 3x³ + (-5x) + (-3)
→ Remember that (+)(-) = (-)
∵ 2x³ + 3x³ + (-5x) + (-3) = 2x³ + 3x² - 5x - 3
∴ (f + g)(x) = 2x³ + 3x² - 5x - 3
Can someone help me with this problem
Sonya has $595 in her savings account and she has to pay $45 each month to her parents
for her cell phone. Cameron has $55 and he saves $15 each month from his job walking
dogs for his neighbor. At this rate, when will Sonya and Cameron have the same amount of
money? How much will they each have?
Answer: They'll have the same amount of money in 9 months. They'll have $190
Step-by-step explanation:
Make a chart showing each month, with how much they have. Every time you add a month, subtract 45 to Sonya's amount of add 15 to Cameron's amount. Eventually, you'll get that they will both have $190 in 9 months. Hope this helped!
Solve the following equation algebraically. Show your work.
17=−13−8x
Answer:
x=-15/4 or -3.75
Step-by-step explanation:
17=−13−8x
30=-8x
x=30/-8 --> -15/4 or -3.75
Answer:
0.5
Step-by-step explanation:
It's simple really,
What you do is first add -13 from 17 and you get 4
17+-13=4
then you divide by 8 and you get 0.5.
4(divided by)8=0.5
Hope that helps you!
(If that's not the answer then do -0.5)
Based on the density graph below, what is the probability of a value in the sample space being anywhere from 40 to 60? A. 75% B. 50% C. 25% D. 100%
Answer:
A. ap3x quiz!
Step-by-step explanation:
need help asap!!! if you could please give me the answer
Answer:
x = 20
Step-by-step explanation:
x-10 / x = 1/2
2*(x-10) = x
2x - 20 = x
x = 20
Deshawn has 850 pennies to put into 50 bags. He wants to put an equal number of pennies in each bag. He can use the expression below to find how many to put into each bag.
850/50
Which expression below could also be used to find the number of pennies in each bag?
Answer:
it can be 50x=850
x=850/50
x=17
Please help!!
Mrs. Peterson makes ceramic figurines. She recently made 25 figurines. Of those figurines, 16 are animals. What percent of the figurines are NOT animals?
Answer:
Depends on how many digits the question wants. If rounded, 38%. Or just 37%
Step-by-step explanation:
She made 25 in all.
16 of them are animal figures. The question is asking what percent is NOT animal figure, so we need to subtract 25 by 16. That gives us 9. To find the percent, we need to divide 9 by the whole, which is 24. 9/24=0.375
The answer is 37% or 37.5% (It depends on how many digits the question is asking for. Also try rounding (38%).
Answer:
B-
Step-by-step explanation:
Bacon egg and cheeseeeeeeee
Florence had already read 13 books this year before joining a book club, I and she plans to read i book every month now that she has joined. If Florence has read 23 books so far, how many months has she been with her book club?
Answer:
10 months
Step-by-step explanation:
If 4(n−3)+2n=12, what is the value of n?
Answer:
n=4
Step-by-step explanation:
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[tex]4(n - 3) + 2n = 12[/tex]
[tex]4n - 12 + 2n = 12[/tex]
[tex]6n - 12 = 12[/tex]
Add sides 12
[tex]6n - 12 + 12 = 12 + 12[/tex]
[tex]6n = 24[/tex]
Divide sides by 6
[tex] \frac{6}{6} n = \frac{24}{6} \\ [/tex]
[tex]n = 4[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A total of $72,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $9,000, how much will be invested
in each type of investment?
El profesor Ricardo consiguió para una comunidad de 48 familia un tanquero con 800 litros con agua y otro tanquero con 430 litro con agua ¿cuantos litros de agua cada familia ?¿crees que sobre agua ?
Answer:
25.625 litros de agua por familia.
No sobrará agua.
Step-by-step explanation:
En promedio el ser humano tiene que tomar al menos 3 litros de agua al día, con esto en mente y pensando que tienes 48 familias de las cuales en promedio serían 5 personas que conforman cada familia, tendrías que son en total:
48*5=240 personas
Tienes que tener almenos 3 litros de agua para cada persona:
240*3=720
Tienes en total 1230 litros de agua, sólo para cubrir lo que las personas necesitan tomar de agua son 720, falta ver si tienen que lavar, cocinar, limpiar o bañarse, entonces con los 1230 litros conseguidos, no alcanzaría ni para dos días de sólo tomar agua.
I don't have a big brain
Find the quotient.
77/-11 =