Answer:
H0: mu = 120 , Ha: : mu not equal to 120
The p-value is greater than or equal to 0.10
z= -1.636
Since the calculated value of z does not fall in the critical region H0 is not rejected.
Step-by-step explanation:
State the null and alternate hypothesis
H0: mu = 120
average braking distance for a small car traveling at 65 miles per hour equals 120 feet.
against the claim
Ha: : mu not equal to 120
average braking distance for a small car traveling at 65 miles per hour does not equal 120 feet.
The p-value equals 0.101764 which is greater than 0.01 and thus supports H0.
The p-value is greater than or equal to 0.10
The test statistic z is applied
Here
Sample Mean x~ = 114
Population mean μ =120
Sample size n= 36
Population SD =σ= 22
Z= u- μ/σ√n
Z= 114- 120/ 22/ √36
z= -1.636
This is a two tailed test and the critical region for two tailed test at alpha = 0.01 is z ∝/2= ± 2.58
Since the calculated value of z does not fall in the critical region H0 is not rejected.
Use the distributive property to find the equivalent expression. 9(2 + 3x) =
Answer:
9(2+3x)
9*2+9*3x
18+27x
Step-by-step explanation:
Please don’t judge me, can I get some help? Questions in the screenshot below
jaslyyyyyyyyyy yus beans
Answer:
7/9
Step-by-step explanation:
21 / 27 = 3 * 7 / 3 * 9
= 7/9
You can approximate e by substituting large values for n into the expression
A. (1- 1/n)^n
B. (1+n)^in
C. (1 - n) ^in
O D. (1+1/n)^2
Answer:
D. (1+1/n)n
Step-by-step explanation:
The value of the expression A, B, C, and D will be 1, ∞, ∞, and 1.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
You can approximate e by substituting large values for n into the expression.
Let the infinity be the largest number.
A. (1 – 1/n)ⁿ
Substitute n = ∞, then the value of the expression will be
[tex]\Rightarrow \left (1 - \dfrac{1}{\infty} \right)^{\infty}\\\\\Rightarrow \left (1 - 0 \right)^{\infty}\\\\\Rightarrow 1[/tex]
B. (1 + n)ⁿ
Substitute n = ∞, then the value of the expression will be
[tex]\Rightarrow \left (1 + \infty \right)^{\infty}\\\\\Rightarrow \infty^{\infty} \\\\\Rightarrow \infty[/tex]
C. (1 – n)ⁿ
Substitute n = ∞, then the value of the expression will be
[tex]\Rightarrow \left (1 - \infty \right)^{\infty}\\\\\Rightarrow \infty^{\infty} \\\\\Rightarrow \infty[/tex]
D. (1 + 1/n)²
Substitute n = ∞, then the value of the expression will be
⇒ (1 + 1/∞)²
⇒ (1 + 0)²
⇒ 1²
⇒ 1
Then the value of the expression A, B, C, and D will be 1, ∞, ∞, and 1.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Perform the indicated operation. -6 + 6
Answer:
0
Step-by-step explanation:
It is zero, since -6+6 is bassicly 6-6 which is 0
Suppose we have a set of three buyers who are trying to buy homes from three sellers. Suppose that seller A charges 3 for their house, seller B charges 2 for their house, and seller C charges 1 for their house The valuations for the three buyers are as follows ordered by house number (so house a, then house b, then house c):
Buyer 1: A: 1 B: 3 C: 2
Buyer 2: A: 5 B:5 C: 5
Buyer 3: A: 5 B: 3 C: 2
Assuming that this set of prices is market clearing, provide the utility for each player in the transaction.
Solution :
As we can see from the following question that :
[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]
[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]
[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]
Now depending on the valuation that each buyer have on these three houses, they derive utility from it :
Buyer I
Valuation for house A, [tex]$V'_A=1$[/tex]
Valuation for house B, [tex]$V'_B=3$[/tex]
Valuation for house C, [tex]$V'_C=2$[/tex]
Utility that buyer I derives from :
House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]
House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]
House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]
As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.
Buyer II
Valuation for house A, [tex]$V^2_A=5$[/tex]
Valuation for house B, [tex]$V^2_B=5$[/tex]
Valuation for house C, [tex]$V^2_C=5$[/tex]
Utility that buyer II derives from :
House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]
House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]
House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]
Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.
Buyer III
Valuation for house A, [tex]$V^2_A=5$[/tex]
Valuation for house B, [tex]$V^2_B=3$[/tex]
Valuation for house C, [tex]$V^2_C=2$[/tex]
Utility that buyer III derives from :
House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]
House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]
House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]
The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.
FIRST PERSON TO ANSWER GET MARKED BRAINLY
Find the value.
Answer: 3 x 5²= 75
Step-by-step explanation:
How I got my answer was multiplying 3 x 5= 15 then 15 x 5=75 on my paper and that should be the right answer hope it help and the answer should be 75
The graph shows the function y = 3.3 - 1. What are the coordinates of the intercepts?
Answer:
C) (0, -1) and ( [tex]\frac{1}{3}[/tex], 0)
Step-by-step explanation:
Find the surface area of the prism. The surface area is
Answer:
132m^2
Step-by-step explanation:
Area=10x5+3x4x2/2+10x3+4x10
=50+12+30+40
=132
Answer: 132 meters squared
Step-by-step explanation:
We add all the sides of the shape:
Three quadrangular sides:
3 x 10 = 30
4 x 10 = 40
5 x 10 = 50
30 + 40 + 50 = 120
Two triangular sides:
3 x 4 / 2 = 6
3 x 4 / 2 = 6
6 + 6 = 12
We add all up:
120 + 12 = 132 meters squared
Round off to two decimal places
27.305
Answer:
20 in place value of 2
hope it helped
A figure with vertical line symmetry is placed on the coordinate plane. Given that the points (–8, –4) and (–3, –4) are on the edges of the figure, which of the following points lies on the line of symmetry?
Answer:
(-11/2; -4)
Step-by-step explanation:
The point that lies on the line is symmetry is the middle point of the segment
M(x) = (-8-3)/2 = -11/2
M(y) = -4
Answer:
(-11/2; -4)
Step-by-step explanation: The point that lies on the line is symmetry is the middle point of the segment
M(x) = (-8-3)/2 = -11/2
M(y) = -4
(2)
3. Which of the following is NOT equal to 3/4
a.
a: (0)
b. 123
c. oo
Answer:
hindi ko poaintindihan paayos poRound to the nearest whole dollar: 2.89
Answer:
I believe it would be $3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Because 0.89 is greater than 0.5, we have to round up. Therefore, the answer is 3.
If this helps please mark as brainliest
Jenna made $200 during the weekend she plans to give 10% to the church and put 40% and her saving accounts how much will she give to the church and how much will she have
Answer: 100
Step-by-step explanation:
200*10% or 200 * 0.10= 20
do the same for savings account 200*40%= 80
20 +80 = 100 subtract that from 200 she has 100 left.
Select the correct answer what are the x-intercepts of these quadric function g(x)=-2(x-4)(x+1)
A principal of 3700 is invested at 8.25% interest, compounded annually. How much will the investment be worth after 11 years? Use the calculator provided and round your answer to the nearest dollar.
4/5+ 2/3 =? pls help i'm.in 5th grade
Answer:
2/15
Step-by-step explanation:
Help me out thanks !!!!!
Answer:
x = 60°
Step-by-step explanation:
First find <E by applying the angles of intersecting chords theorem.
Based on the theorem, we would have the following equation:
m<E = ½(arc CA + arc BD)
Substitute
m<E = ½(170° + 70°)
m<E = ½(240)
m<E = 120°
Let's find x:
x = 180° - m<E (supplementary angles)
x = 180° - 120° (substitution)
x = 60°
Given that a/b = 3/5 and b/c = 3/4.
Find a : b : c
Answer:
a : b : c = 9 : 15 : 20
Step-by-step explanation:
Here, b is common to both the ratios. In order to find the combined ratio of a, b and c, it is required to make the b ratio same in the given ratios.
Therefore,
[tex] \frac{a}{b} = \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} \\ \\ \frac{b}{c} = \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \\ \\ \implies \: a : b : c = 9 : 15 : 20[/tex]
Suppose you roll a 6-sided number cube twice, and each time you
rolled a 4. a) Is the rolling of the number cube twice independent or
dependent events? b) What is the probability of rolling two fours? c)
Explain the difference between independent and dependent events.
Assume that 200 babies are born to 200 couples treated with the XSORT method of gender selection that is claimed to make girls more likely. Preliminary results from a test of the XSORT method of gender selection involved 200 couples who gave birth to 115 girls and 85 boys. At significance level of 0.1, test whether the proportion of girl births after the treatment is greater than the 50% that occurs without any treatment (optional: show your work of the hypothesis testing in paper). Answer the next three questions
a. test statistic =
b. p-value =
c. What is your decision?
Answer:
a) test statistic = 2.12
b) p-value = 0.017
c) we reject the Null hypothesis
Step-by-step explanation:
Given data :
N = 200
girls (x) = 115 , Boys = 85
p = x / n = 115 / 200 = 0.575
significance level ( ∝ ) = 0.1
aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment .
A) Determine the test statistic
H0 : p = 0.5
Ha : p > 0.5
to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1
Z - test statistic = ( 0.575 - 0.5) / [tex]\sqrt{0.5*0.5 / 200}[/tex] = 2.12
b) determine the p-value
The P-value can be determined using the normal standard table
P-value = 1 - p(Z< 2.12 ) = 1 - 0.9830 = 0.017
c) Given that the p value ( 0.017 ) < significance level ( 0.1 )
we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%
y=5x-1 as a graph (slopes)
Answer:
linked the graph!
Step-by-step explanation:
Answer:
Using the slope-intercept form, the slope is −5
y=0,-1
Step-by-step explanation:
A bakery sells 5394 donuts in 2010. The bakery sells 10,874 donuts in 2015. Write a linear model that represents the number y of donuts that the bakery sells x years after 2010.
Answer:
y = 1096x + 5394
Step-by-step explanation:
Given that
The bakery sells 5394 donuts in 2010
And, the bakery sells 10,874 donuts in 2015
We need to write the linear model
So here
we assume that the x be the no of years after 2010
And, y be the no of donuts
Now
x_1 = 0, y_1 = 5394
x_2 = 5, y_2 = 10874
Now the slope is
m = (y_2 - y_1) ÷ (x_2 - x_1)
= (10874 - 5394) ÷ (5 - 0)
= 1,096
Now
y - y_1 = m(x - x_1)
y - 5394 = 1096(x - 0)
y - 5394 = 1096x - 0
y = 1096x + 5394
Suppose that you are about to purchase a car and have narrowed your choices to two models --Model A and Model B. All things are about equal, such as price, options, even the average annual maintenance costs. You find an owner survey in an auto magazine that indicates that the standard deviation of maintenance costs is smaller for Model B. Based on this information, which of the following statements is most appropriate?
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
B. Model A with the larger standard deviation is preferable. Cecause the larger value implies a smaller amount of variation in the data
C. Neither of the models are good since both standard deviations are not equal to 0. B 2
D. They are equally acceptable, because standard deviations are not useful for comparisons of data sets.
E. Cannot determine based on the information provided.
Answer:
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
Step-by-step explanation:
The standard deviation is a measure of the variability of a dataset about a mean value. Larger values of standard deviation implies that the values varies Hugely about the mean whole smaller variability measure values mean that the data only varies a little about the mean. The implication of having a large variability value is that, low and high values in the data can be very different from the mean values, hence, lowering the reliability of Mean value. The lesser varibality gives the mean more reliability as a measure of centre
2. Write an equation in siope-interceptform to represente relationship in the table
Answer:
-4/-5
Step-by-step explanation:
you have to pick 2 numbers from the y row and the x row i picked -7 and 3 and -5 and 0 so first you would do 3-(-7) and that would be -4 and then do -5-0 and that would be -5 then you would put the y/x
WHATS THE ANSWER?? answer ASAP NO FILE AT ALL
Answer:
A
Step-by-step explanation:
If you flip the picture over and look at it while it is upside-down, you can see that image A is the same shape.
7 students study Biology, Chemistry and Physics.
12 students study Biology and Chemistry.
15 students study Biology and Physics.
20 students study Chemistry and Physics.
35 students study Biology.
32 students study Physics.
Complete the Venn diagram.
Answer:
Step-by-step explanation:
Tristan spent 35% of his allowance on candy each week. If his weekly allowance is $10, How much is he spending on candy? Tristan spends on candy each week.
Answer:
he is spending 3.50 each week
Please help this is very important to my grade
Answer:
3, 6, 2.7( The is one I cannot see cuz of glare)
Step-by-step explanation:
Thirty students from the Netherlands set up a record of 1,500,000 dominoes. Of these, 1,138,101 were toppled by one push. Which is a more reasonable estimate for how many dominoes remained standing after that push: 350,000 or 400,000?