Answer:
(6.35, 5.34)
(6.35, 0.99)
0.10253
0.3984
Step-by-step explanation:
Given that :
μ = 6.35
σ = 2.31
n = 41
What is the distribution of X?X ~ N(,)
X :
Mean of distribution = μ= 6.35
The variance = σ^2 = 2.31^2 = 5.3361 = 5.34
X ~ N = (6.35, 5.34)
What is the distribution of x¯? x¯ ~ N(,)
The mean = μ = 6.35
The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99
X ~N = (6.35, 0.99)
find the probability that this patron's lunch cost is between $6.1605 and $6.757.
P(6.1605 < x < 6.757)
Obtain the standardized scores:
Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082
P(Z < - 0.082) = 0.46732 (Z probability calculator)
(6.757 - 6.35) / 2.31 = 0.176
P(Z < 0.176) = 0.56985 (Z probability calculator)
P(Z < 0.176) -P(Z < - 0.082)
0.56985 - 0.46732 = 0.10253
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.
P(6.1605 < x < 6.757) ; n = 17
Obtain the standardized scores:
Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338
P(Z < - 0.338) = 0.36768 (Z probability calculator)
(6.757 - 6.35) / 2.31/sqrt(17) = 0.726
P(Z < 0.726) = 0.76608 (Z probability calculator)
P(Z < 0.726) -P(Z < - 0.338)
0.76608 - 0.36768 = 0.3984
Answer:
he did a good job
Step-by-step explanation:
Find the distance between the points. Round your answer to the nearest tenth. (6, -1) and (-2,-6)
Answer:
9.433981
Step-by-step explanation:
d=(−2−6)2+(−6−(−1))2−−−−−−−−−−−−−−−−−−−−−√
d=(−8)2+(−5)2−−−−−−−−−−−−√
d=64+25−−−−−−√
d=8–√9
d=9.433981
A department store buys200 shirts at a cost of $ 5400 and sells them at a selling price of $30 each. Find the percent markup
200 shirts x $30 = $6000
Total sales would be $6000
Profit = 6000 - 5400 = $600
Divide profit by cost:
600/5400 = 0.1111
Multiply by 100 for percentage:
0.111 x 100 = 11.1%
Rounding to nearest percent would be 11% markup
Answer:
is it 2.00?
Step-by-step explanation:
"find the length indicated"
Answer:
huh??
Step-by-step explanation:
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.
f(x, y) = xy; 4x2 + y2 = 8
Answer: minimum value of f = -2 and maximum value of f = 2
Step-by-step explanation:
Given that;
f(x, y) = xy; 4x² + y² = 8
S(x,y) = xy + λ(4x² + y² - 8)
dS/dλ = 4x² + y² - 8 = 0
dS/dx = y + 8λx = 0 -> y = -8λx
dS/dy = x + 2yλ = 0 -> x + 2λ(-8λx) = x(1 - 16λ²) = x(1-4λ)(1+4λ) = 0
-> x = 0 , λ = 1/4 , λ = -1/4
x = 0 -> y = 0 -> it doesn't satisfy 4x² + y² = 8
λ = 1/4 -> y = -8λx = -2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = 2 , -2
λ = -1/4 -> y = -8λx = 2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = -2 , 2
we have 4 critical points:
(-1, 2) -> f = -2
(1, 2) -> f = 2
(-1, -2) -> f = 2
(1 , -2) -> f = -2
Therefore; minimum value of f = -2 and maximum value of f = 2
Angel Sanchez has 10 books on a shelf; 5 mysteries, 4 science fiction books, and 1 biography. Determine the probability of each situation below.
a) Selecting one biography and then one mystery, with replacement
b) Selecting one biography and then one mystery, without replacement
a) The probability of selecting one biography and then one mystery, with replacement, is 17
(Type an integer or a simplified fraction)
Answer:
a) 1/10 x 5/10 = 1/20
b) 1/10 x 5/9 = 1/18
Step-by-step explanation:
a) Probability of selecting one biography and then one mystery, with replacement: 1/20
b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.
The probability of each situation can be calculated as follows:
a) Selecting one biography and then one mystery, with replacement:
With replacement means that after each selection, the book is put back on the shelf before the next selection.
The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).
The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).
The overall probability is the product of the individual probabilities:
Probability = (1/10) * (5/10) = 1/20
So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.
b) Selecting one biography and then one mystery, without replacement:
Without replacement means that after each selection, the book is not put back on the shelf before the next selection.
The probability of selecting the biography first is still 1 out of 10 books.
However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).
The overall probability is the product of the individual probabilities:
Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%
So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.
To know more about Probability, refer here:
https://brainly.com/question/27784798
#SPJ2
-10 -(-5) can someone answer dis for me please
.
Answer:
-5
Step-by-step explanation:
yw
Answer:
-5
Step-by-step explanation:
the two minus signs next to each other make it a plus sign so the equation would become
-10 + 5
which is -5
what is 22 to the power of 34?
Answer:
4.3890563e+45!!
Step-by-step explanation:
The following information is known about a loan.
Time = 7 years
Interest rate = 6%
Interest = $840.00
What was the principal on the loan?
Answer:
112.8
Step-by-step explanation:
840/7 which is 120 then you would want to multiply by 0.94 as you are adding back!
Answer:
principal of the loan is $2000
Step-by-step explanation:
use formula of simple interest i.e. S.I. = (P×R×T)/100
Here, S.I. is Simple Interest
P is Principal
R is Rate of Interest
T is Time
Simplify 8 over negative 3 divided by negative 4 over 9.
−8
−6
6
8
Answer:
The answer is 6. Hope this helped :D
Which table represents a function with a slope of 1/2 and a y-intercept of 4
Answer:D
Step-by-step explanation: trust me ima sophomore use this for help y=1/2x+4 then x value change it to the number in the x section then if the y appears just like in the box the y section it’s correct
A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 40 girls and 40 boys in a community and gave them the standard memory test. The mean score for girls was 68 and the standard deviation of mean was 5.0. The mean score for boys was 66 and the standard deviation of mean was 5.0. What is the p-value and your conclusion at alpha
Complete Question
A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 40 girls and 40 boys in a community and gave them the standard memory test. The mean score for girls was 68 and the standard deviation of mean was 5.0. The mean score for boys was 66 and the standard deviation of mean was 5.0. What is the p-value and your conclusion at alpha 0.05
Answer:
The p-value is [tex]p-value =0.073614[/tex]
The conclusion is
There is sufficient evidence to support the claim that there was no significant difference between boys and girls on a standard memory test
Step-by-step explanation:
From the question we are told that
The sample size of boys and girls is [tex]n_1= n_2 = n = 40[/tex]
The standard deviation is [tex]s_1= s_2 = s = 5[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The sample mean for boys is [tex]\= x_1 =66[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{\frac{s_1 ^2 }{n_1} + \frac{s_2 ^2 }{n_1} } }[/tex]
=> [tex]z = \frac{66 -68 }{ \sqrt{\frac{5^2 }{40} + \frac{5 ^2 }{40} } }[/tex]
=> [tex]z = -1.789[/tex]
From the z table the area under the normal curve to the left corresponding to -1,789 is
[tex]P(Z < -.1789 ) = 0.036807[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P(Z < -.1789 )[/tex]
=> [tex]p-value = 2 * 0.036807[/tex]
=> [tex]p-value =0.073614[/tex]
From the values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to support the claim that there was no significant difference between boys and girls on a standard memory test
It Snowed 1/2 inch on Saturday and 1 3/5 inches on Sunday. How much did it snow altogether, total?
Answer:
Fraction form: it snowed 2 1/10 inches in total, decimal form: in other words it snowed 2.1 inches.
Step-by-step explanation:
I really need help with -8 - 4(5m + 9)
16. Adam uses a microscope to observe insects in science class. The
microscope enlarges objects to 100 times their actual size. Find the length of
each insect as seen in the microscope.
A=
cm
(Type a whole number or a decimal.)
Answer:
A= 0.5, B=2.2, C=0.12, D=.0.9.
Step-by-step explanation:
-3(1)+(-3)(-1) =
+()]
-3(1) + (-3)(-1)=-3[0]
-3(1)+(-3)(-1) =
_
+(-3)(-1) =
+
Answer:
³⅜
Step-by-step explanation:
⁴⁵⅖
+⁷⅝×⅖i
I HOPE IT HELP TYSM
Answer:
i dunno
Step-by-step explanation:
what is the slope, m, and the y-intercept of the line that is graphed below?
Answer:
m= 1; (0, 3)
Step-by-step explanation:
jus bc
Find the x-intercept and y-intercept of the line given by the equation below. Then graph the line.
x + y = 2
X-intercept:
y-intercept:
Caitlyn is saving for vacation. She already has $38 and plans to save $18 per week until she reaches her goal of $524. Caitlyn’s total savings, s, can be determined using this equation, where w represents the number of weeks she saves.
s=18w+38
How many weeks will Caitlyn need to save to reach her goal of $524?
Answer:
27.88 can be rounded to whatever the question wants you to, coz it needs to be a whole no.---> so I would say 28 weeks, but it depends on what the question asks
Step-by-step explanation:
18w+38= should equal to $540
rephrasing this in a mathematical way would be-
18w+38=$540
18w=$540-38
18w=502
w=502/18
w=27.88
Answer:
The answer is 27. 88 but if this is like a test and not a open end question than the answer is 27 ;)
What is the value of the expression below? 52 + (8 – 6)
Answer:
54
Step-by-step explanation:
Which binomial could be rewritten as a difference of two squares?
A 2r2 – 4y2
B 9x2 + 16y2
C 3r2 – 10y2
D 4x2 - 25y2
If G(x)=5x-2, find G^-1(x).
A.-5x+2
B.(x+2)/5
C.(x/5)+2
Answer:
C.
Step-by-step explanation:
G(x) = 5x - 2
G^-1 = everything will become a fraction with one as the numerator and all negatives on the bottom become a positive constant.
G^-1(x) = (x/5) + 2
What’s the area? Please help :)
Answer:
252 sq. in.
Step-by-step explanation:
divide it into sections like this
12*15=180
3*6=18
6*9=54
then add it all together. sometimes it is more complicated, but as long as none of the divided parts overlap this will be correct for any shape, as long as you account for the whole shape.
Solve the trig identity: csc(x) - sin x
what does hypothesis mean?
Answer:
a guess or prediction on how an experiment is going to turn out.
Step-by-step explanation:
Scientists use it a lot
Answer:
Hypothesis means a reasonable guess in science.
Step-by-step explanation:
Scientists first make a hypothesis in order to predict the solution to their experiment. And when they're hypothesis is wrong, they make another hypothesis. So basically, a hypothesis is a "reasonable guess"
Hope this answers your question!
If sec theta>0 and tan theta<0, the terminal side of angle theta must lie in
Answer:
the last one
Step-by-step explanation:
super easy bro tell me if its right
help- which of the following functions will produce the graph
Answer:
B
Step-by-step explanation:
y= -24/x²+8
y-int ( 0,-3
Right Triangle Trigonometry.
Answer:
D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Paulina has a suitcase full of clothes that weighs 4
4
7pounds. Rebecca has a suitcase full of clothes that weighs
7
8of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Answer:
4 pounds
Step-by-step explanation:
Paulina has a suitcase full of clothes that weighs 4 4/7pounds. Rebecca has a suitcase full of clothes that weighs
7/8 of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Weight of Paulina's suitcase = 4 4/7 pounds = 32/7 pounds
Weight of Rebecca's suitcase = 7/8 of Paulina's suitcase
Hence, the weight of Rebecca's suitcase in pounds = 7/8 of 32/7 pounds
= 7/8 × 32/7
= 4 pounds
Therefore, Rebecca's suitcase weighs 4 pounds.
2 3/4 as an improper fraction
5. The Hudson family went out to dinner. The meal cost $57.50. If they also left a 15% tip, approximately how much did the entire dinner cost?