Answer:
Null hypothesis:
[tex]\mathbf{H_o: \mu = 444}[/tex]
Alternative hypothesis:
[tex]\mathbf{H_1: \mu < 444}[/tex]
Step-by-step explanation:
From the given information:
the population mean = 444
the sample mean = 443
number of samples = 40
standard deviation = 23
The null hypotheses and he alternative hypotheses can be computed as:
Null hypothesis:
[tex]\mathbf{H_o: \mu = 444}[/tex]
Alternative hypothesis:
[tex]\mathbf{H_1: \mu < 444}[/tex]
Thus, this is left-tailed since the alternative hypothesis is less than the population mean
The test statistics can be computed as follows:
[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \dfrac{443 - 444 }{\dfrac{23}{\sqrt{40}}}[/tex]
Z = - 0.275
At the level of significance of 0.02;
the critical value of [tex]Z_{\alpha/2} = Z_{0.02/2}=-2.05[/tex]
Decision rule: To reject the null hypothesis if the value of the Z score is lesser than the critical value.
Conclusion:
We fail to reject the null hypothesis and we conclude that sufficient evidence to support the claim that the machine bags were underfilled.
3 ÷ 6/7 i really need help! i will give you brainliest pls HELP
Answer:
7/2
Step-by-step explanation:
---------------------------------------------------------
3.5
---------------------------------------------------------
Help please I need the answer ASAP
Answer:
j
Step-by-step explanation:
3 step equations, I really need help on these with all the work:
1.
4x+y+5z=-9
x-4y-2z=-2
2x+3y-2z=21
2.
x-7y+3z=17
5x+2y-2z=-57
3x-10y-z=-11
Answer:
fdsfskdfdsjg,dgkdfjkgjkdfgjkfjkdghdkj
Step-by-step explanation:
I’ll mark brainliest
Answer:
i think $23.40
Step-by-step explanation:
if she used it for 20 mins then that would be 0.08*20=1.60
25-1.60=23.40
hope this helps :3
sorry if im wrong
////////////////////////////
Answer:
///////////////////
Step-by-step explanation:
Find slope : (7,17) (9,1)
Answer:
7/17 and 1/9 0r 9/1
Step-by-step explanation:
Answer: m= -8
Step-by-step explanation:
m = 1-17
9-7
m = -16/2 = -8
m=-8
Write the sentence as an inequality.
A number b divided by -14 is less than -25.
Answer:
b ÷ -14 < -25
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
times 6
If 4 adult elephants eat 320 pounds of food, how many ounces of food should the zookeeper purchase?
Answer:
Step-by-step explanation:
In a multiple linear regression analysis, statistical model utility is determined by the value of R2 and 2s, while practical model utility is determined by the Global F-test p-value.
a) true
b) false
Answer:
This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.
Step-by-step explanation:
Solution:
In a multiple linear regression analysis, the statistical model utility is determined by the value of R2 and ∂2, while the Global F test p-value determines the practical model.
This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.
The F test is a statistical test that is very flexible. F test can evaluate multiple model terms.
The F test indicates whether a linear regression model provides a better fit to data than a model that contains no independent variable.
The F test for overall significance has two hypotheses:
1- Null hypothesis:
The fit of the intercept only model and your model are equal.
2- Alternative hypothesis:
The fit of the intercept-only model is significantly reduced compared to your model.
Compare p-value for the F test,
If the p-value is less than the significance level, the sample data provide sufficient evidence that the regression model fits the data better with no independent variable.
In a watch, the minute hand crosses the hour hand for the third
time exactly after every 3 hr 18 min and 15 s of watch time. What
is the time gained or lost by this watch in one day?
A ball is thrown vertically upwards with an initial velocity of 22 m/s. When will its speed be 10
m/s?
Answer:
The ball's speed will be 10 m/s at t=1.22 seconds
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
[tex]v_f=v_o-g.t[/tex]
Where g is the acceleration of gravity [tex]g=9.8 m/s^2.[/tex]
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
[tex]\displaystyle t=\frac{v_o-v_f}{g}[/tex]
Substituting:
[tex]\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}[/tex]
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0
Answer:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
Step-by-step explanation:
We can determine the characteristic equation all we have to do is:
let y' = m, hence y" = m², y'" = m³
Therefore, the higher-order differential equation becomes:
m³ + 3m² + 3m + 1 = 0
(m + 1)(m² + 2m + 1) = 0
(m + 1)(m + 1)(m + 1) = 0
(m + 1)³ = 0
m = -1, -1, -1
Therefore the general solution is given as:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
[tex]c_1,c_2,c_3\ are\ constants.[/tex]
.60 is what percent of 180?
Answer:
1.08
Step-by-step explanation:
.60% *180=108
108/100=1.08%
Answer:
108
Step-by-step explanation:
Determine the x- and y-intercepts of the graph of x−4y=8 . HURRY!!!
the answer in point-slope form is y = 1/4x-2 so your y-intercept is -2 and from there, move up one and right four. your points would be (0, -2) and (4, -1)
hope this helped! :)
who ever answers first i will give brainily!!!!
Answer:
85
Step-by-step explanation:
Answer:
30$*3=90$ - its the answer
Step-by-step explanation:
To get the answer we can first divide 60 by 2 to see how much cost 5 burgers. Then we have to multiply that result times 3 to get the answer.
60:2=30$ ----- 5 burgers.
30$*3=90$ - its the answer
What values of B make the equation 7+4-2-B=13-9 true?
Answer:
B=5
Step-by-step explanation:
7+4-2-B=13-9
9-B=4
-B=-5
B=5
How can you represent a rate with 100 as the whole?
Please need help
Answer:
How to Calculate a Rate. "Rate" simply means the number of things per some other number, usually 100 or 1,000 or some other multiple of 10. A percentage is a rate per 100. Infant mortality rates are calculated per 1,000.
Step-by-step explanation:
Write an inequality for the following statement.
5 is less than or equal to y
Answer:
5 ≤ y
Step-by-step explanation:
Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45° angle to see a hot air balloon. Emily looks up at a 60° angle to see the same hot air balloon. Approximately how far is the hot air balloon off the ground?
a) 44.3 yd.
b) 63.4 yd.
c) 73.2 yd.
d) 89.7 yd.
Answer:
B. 63.4 yards.
Step-by-step explanation:
PLZ HELP FAST
Enter an algebraic expression to model the given context. Give your answer in simplest form. The original price p of an item less a discount of 10%. The algebraic expression is
Answer:
The algebraic expression is 0.90p
Step-by-step explanation:
The presentation of the algebraic expression is shown below:
Let us assume that the original price is p.
So,
The Orginal price is P
and the item would be less a 10% discount
So it could be written as 0.10p
Now the required expression could be written as
p - 0.10 p = 0.90p
Hence the algebraic expression is 0.90p
The same is to be considered
what is the answer. one smaller cube labeled with fish food with dimensions of one-quarters feet on each side. Larger cube labeled shipping box with dimensions of length 3 and three-fourths feet; width of 3 feet; the height of 3 and one-quarter feet. times 1/4
Pretest 5. In a group of 250 students, 40 are seniors. What percentage of the group are seniors?
Answer:
[tex]\%seniors = 16\%[/tex]
Step-by-step explanation:
Given
[tex]Students = 250[/tex]
[tex]Seniors = 40[/tex]
Required
Determine the percentage of seniors
This is calculated as thus;
[tex]\%seniors = \frac{Seniors}{Students} * 100\%[/tex]
[tex]\%seniors = \frac{40}{250} * 100\%[/tex]
[tex]\%seniors = \frac{4000\%}{250}[/tex]
[tex]\%seniors = 16\%[/tex]
The director of the library believes that 13% of the library's collection is checked out. If the director is right, what is the probability that the proportion of books checked out in a sample of 774 books would be less than 10%
Answer:
The probability that the proportion of books checked out in a sample of 774 books would be less than 10% is 0.0066
Step-by-step explanation:
We are given that The director of the library believes that 13% of the library's collection is checked out.
[tex]\mu = p = 0.13[/tex]
Total no. of books = 774
Standard deviation =[tex]\sqrt{\frac{p(1-p)}{n}}[/tex]
Standard deviation = [tex]\sqrt{\frac{0.13(1-0.13)}{774}}=0.012[/tex]
We are supposed to find the probability that the proportion of books checked out in a sample of 774 books would be less than 10%
[tex]P(\hat{p}<0.1)\\Z=\frac{x-\mu}{\sigma}\\Z=\frac{0.1-0.13}{0.012}\\Z=-2.48\\P(Z<-2.48)=0.0066[/tex]
So,[tex]P(\hat{p}<0.1)=0.0066[/tex]
Hence the probability that the proportion of books checked out in a sample of 774 books would be less than 10% is 0.0066
Х
-7
-3
1
5
9
13
-
- 12
yl -28
4
20
36
52
С C
10
>
34555555555555555555555555555555555555
Area model for 925÷25=c
The lines y = 3x + 4 and y = 3x - 17 are perpendicular
Answer: No
Step-by-step explanation: Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).
I really need help i will mark u as brainliest
Answer:
1.23
Step-by-step explanation:
103.32/(7*12)
103.32/84
1.23
Taylor buys dog food for $1.25 a pound. How much will he pay for 8.6 pounds of dog?
Answer:
Taylor will pay $10.75
Step-by-step explanation:
If 1.25 PER/for each/for one pound that means you would multiply. So the equation is 8.6 x 1.25 = 10.75
Hope that helps and have a great day!
Answer:
10.75
Step-by-step explanation: 1.25 times 8.6 is 10.75 so that is the answer.
Which fraction is not equivalent to 9/12
Answer:
the second one :)
Step-by-step explanation:
Answer:
16/24
Step-by-step explanation:
Question 9/12 is equivalent to 3/4
15/20 is equivalent to 3/4
24/32 is equivalent to 3/4
6/8 is equivalent to 3/4
But 16/24 is equivalent to 2/3, not 3/4.
How do you solve substitution to the equation y=-2x +1 4x+y=9
Answer:
Step-by-step explanation: 2x+y=1
4x+y=9
we substract equals. 2x=8 so x=4 , y=-7