Answer:
The 8% of the fruit weigh more than [tex]x=606.43 \ g[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 598 \ g[/tex]
The standard deviation is [tex]\sigma = 6 \ g[/tex]
Generally the 8% is mathematically represented as
[tex]P(X > x) = 0.08[/tex]
=> [tex]P(X > x) = P ( \frac{X - \mu}{\sigma }>\frac{x - 598}{6} )=0.08[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X > x) = P ( Z >\frac{x - 598}{6} )=0.08[/tex]
From the normal distribution table the critical value corresponding area representing 0.08 towards the right tail of the curve is
[tex]z = 1.405[/tex]
So
[tex]\frac{x- 598}{6} = 1.405[/tex]
=> [tex]x=606.43 \ g[/tex]
Which statement about the graph is true?
On a coordinate plane, a line goes through points (0, 2), (2, 3), (4, 4), (6, 5).
A. The graph shows a proportional relationship because it is a line, and the difference between each point is the same.
B. The graph shows a proportional relationship because it is a line, and each x-value is a multiple of 2.
C. The graph does not show a proportional relationship because each point written as a ratio gives a different value.
D. The graph does not show a proportional relationship because a line that increases by 1 in the y-value cannot have a constant of proportionality.
Answer:
a
Step-by-step explanation:
Answer:
C. The graph does not show a proportional relationship because each point written as a ratio gives a different value.
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
Where m is the slope and b is the y-intercept.
Not all lines represent proportional relationships. The condition for a line to be a proportional function is that b=0, i.e., the y-intercept is the origin.
The graph shown in the figure has a y-intercept of 2, thus the line is not a proportional relationship.
If the equation of the line is proportional (b=0), then:
y = mx
Or:
y/x = m
The ratio between each value of y and x must be constant.
This is not the case, because
3/2, 4/4, 6/5 result in different values and 2/0 doesn't even exist. Thus the correct answer is:
C. The graph does not show a proportional relationship because each point written as a ratio gives a different value.
see image help me as fast as possible, please
On Wednesday, a farmer picked 1 16/31 baskets of peppers. On Thursday, the farmer picked 2 10/21 baskets. On Friday, the farmer picked 1 5/19 baskets. Approximately each quantity to the nearest 1/4, how many baskets of peppers did the farmer pick?
Answer:
5.25
Step-by-step explanation:
Given that,
On Wednesday, a farmer picked 1 16/31 baskets of peppers. On Thursday, the farmer picked 2 10/21 baskets. On Friday, the farmer picked 1 5/19 baskets.
To find,
How many baskets of peppers did the farmer pick.
Solution,
It can be calculated by adding all the baskets of peppers on Wednesday, Thursday and Friday as follows :
[tex]P=1\dfrac{16}{31}+2\dfrac{10}{21}+1\dfrac{5}{19}\\\\=\dfrac{47}{31}+\dfrac{52}{21}+\dfrac{24}{19}\\\\=5.25[/tex]
So, he will pick 5.25 baskets of peppers.
Find the equation of the line through (-4,-1) and parallel to y = -1/2x +1 in slope-
intercept form.
d) y = -1/2x - 3
c) y = 1/2x + 3
b) y = 2x - 3
a) y = -1/2x + 3
Step-by-step explanation:
Let the equation of the line be y = mx + c
since the line is parallel to y = -1/2x + 1, the two lines have the same gradient.
therefore, m = -1/2
sub (-4, -1):
-1 = -1/2(-4) + c
c = -3
therefore equation of the line is y = -1/2x - 3
This question demands knowledge on coordinate geometry's slope intercept form and finding unknowns. If you would like to venture further, you can check out my Instagram page (learntionary). Thanks!
Why do plants hate math?
Answer:
be they just do hahahaha
7x-5=8(x+3) solve for x
Answer:
The value of x is -29.
Step-by-step explanation:
We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.
[tex]\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}[/tex]
Now that we have solved for x, we can plug in -29 to see if we get a true statement.
[tex]\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark[/tex]
Because we ended up with a true statement, we have determined that the value of x is -29.
Answer:
[tex]7x - 5 = 8(x + 3) \\ 7x - 5 = 8x + 24 \\ 8x - 7x = - 24 - 5 \\ \boxed{x = - 29}[/tex]
x = -29 is the right answer.Evaluate This Question
The perimeter of a rectangle is 44 inches, and its area is 112 square inches. Find the length and width of the rectangle.
Answer:
14, 8
Step-by-step explanation:
Using the formulas
A= Length * Width (lw)
P=2(l+w)
l+w)
There are 2 solutions forl
l=P
4+1
4P2﹣16A=44
4+1
4·442﹣16·112=14in
l=P
4﹣1
4P2﹣16A=44
4﹣1
4·442﹣16·112=8in
alexis made 24 cookies with 8 teaspoons of sugar and 45 cookies with 15 teaspoons of sugar. what is the constant of proportionality?
Answer:
3:1
Step-by-step explanation:
divide the cookies by the number of spoons
24 cookies per 8 spoons = 3 cookies per 1 spoon
45 cookies per 15 spoons = 3 cookies per 1 spoon
all the above results both had a proportionality of 3 cookies to 1 spoon arriving to the result 3:1g The test statistic of z=2.27 is obtained when testing the claim that p≠0.826. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.01, should we reject H0 or should we fail to reject H0?
Answer: a. Hypothesis test is two tailed as [tex]H_a[/tex] is two tailed.
b. p-value =p-value
c. We failed to reject [tex]H_0[/tex].
Step-by-step explanation:
Given : Test statistic : z = 2.27
Claim: p ≠ 0.826 i.e. Alternative hypothesis : [tex]H_a:p\neq0.826[/tex] [ alternative hypothesis takes ≠]
a. Hypothesis test is two tailed as [tex]H_a[/tex] is two tailed.
b. The two-tailed p-value for z=2.27 is 0.0232. [By p-value table]
c. Using a significance level of α=0.01,
p value > α
so we failed to reject [tex]H_0[/tex]. [When p-value > α we cannot reject null hypothesis.]
Four people recorded the miles they drove and the time they spent driving. The table below shows
their data.
Person Miles Driven Hours Driven
Alice
246
6
10
Bret 480
Charles 165
2.5
Donna 1023
18
On average, which person drove the furthest in one hour?
A Alice
B Bret
C Charles
D Donna
Answer:
C: Charles
Step-by-step explanation:
165 miles divided by 6 hours
165/2.5
66 miles in one hour
What is the area of the rectangle?
4 cm
3 cm
O4 square centimeters
O 7 square centimeters
O 12 square centimeters
O 24 square centimeters
12 square centimeters
Step-by-step explanation:
You just multiply the length x the width which is just 3 x 4
Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KM = 15.3. JKM is a right triangle because KM = 18.2. JKM is not a right triangle because KM ≠ 15.3. JKM is not a right triangle because KM ≠ 18.2.
Answer:
c
Step-by-step explanation:
,
Answer:
The Answer is C
Step-by-step explanation:
Show work. This is a BC calculus problem.
Answer:
D.
Step-by-step explanation:
Recall that the limit definition of a derivative at a point is:
[tex]\displaystyle{\frac{d}{dx}[f(a)]= f'(a) = \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}[/tex]
Hence, if we let f be ln(x + 1) and a be 1, this yields:
[tex]\displaystyle f'(1)= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}[/tex]
Hence, the limit is equivalent to the derivative of f at x = 1 or f’(1).
In conclusion, our answer is D.
Suppose a country consists of 35 states, each of which is assigned a certain number of electoral votes. How many possible coalitions (each coalition including at least one state) are there?
Answer:
nm mn
Step-by-step explanation:
Study parallelogram ABCD. Which graph of A'B'CD' shows parallelogram ABCD translated 4 units to the left?
A. graph A
B . graph B
C. graph C
D. graph D
Answer:
Step-by-step explanation:
Carolyn was asked to solve the following system of equations. Her work is shown. What is the solution to the system of linear equations?
Answer:
(11, 13)
Step-by-step explanation:
Carolyn's work is incorrect. Below is the correct solution:
Given:
[tex] 3x - 2y = 7 [/tex] ----› Equation 1
[tex] y = x + 2 [/tex] -----› Equation 2
Substitute y = (x + 2) in equation 1
[tex] 3x - 2y = 7 [/tex] ----› Equation 1
[tex] 3x - 2(x + 2) = 7 [/tex] (substitution)
[tex] 3x - 2(x) -2(+2) = 7 [/tex] (distributive property)
[Note: this is where Carolyn made a mistake]
[tex] 3x - 2x - 4 = 7 [/tex]
Collect like terms
[tex] x - 4 = 7 [/tex]
[tex] x = 7 + 4 [/tex] (addition property of equality).
[tex] x = 11 [/tex]
Substitute x = 11 in equation 2
[tex] y = x + 2 [/tex] -----› Equation 2
[tex] y = 11 + 2 [/tex] (substitution)
[tex] y = 13 [/tex]
✅The solution to the system of equations would be:
(11, 13)
Austin correctly answered 92% of the questions on a geography quiz.Liz answered 47 of the 50 questions correctly
Answer:
Liz did
Step-by-step explanation:
because if you multiply 47 to 2, then you get 94 and that's higher than 92, not sure but i hope this works
tea amore lends $750 to aaliyah with an agreement that she gets 7% interest per month starts december 2020. how much will aliyah have to pay in all after 4.5 months? GIVING BRAINLIEST!!
Answer:
$986.50
Step-by-step explanation:
$750 x 0.07 = $52.50
$52.50 x 4.5 = $236.25
$236.25 + $750 = $986.25
Answer:
$986.25
Step-by-step explanation:
(750 *0.07)*4.5 =
52.59 * 4.5 = 236.25
750 + 236.25 = 986.25
Can someone please help me? I give high points!
Answer:
lola has 12 dollars
Step-by-step explanation:
Answer:
The amount that Lola has is $12
Step-by-step explanation:
2y+7z-2z+4y+8+y+2 Combine Like Terms
Answer:
7y+5z+10
Step-by-step explanation:
7y+5z+10
Answer:
B.
Step-by-step explanation:
2y + 4y + y = 7y
7z + (-2z) = 5z
8 + 2 = 10
John mowed 11 lawns and earned $206.25. How much did he make per lawn?
how many miles can you drive in 1/2 hour
Answer:
2 miles
Step-by-step explanation:
it depends on how many hours per hour but 2 miles would be the average answer.
hope this helps. have a good day. :)
Which expression shows 0.027 written in expanded form?
A
(2 x 10) + (7 X 1)
B.
(0 + 2 + 7) X 0.001
С
(2 x 0.1) + (7 x 0.01)
D
(2 x 0,01) + (7 % 0,001)
Answer:
D. (2 x 0,01) + (7 % 0,001)
Answer:
jhghgfg
Step-by-step explanation:
In ARST, m R = 92° and mZS = 71°. Which list has the sides of ARST in order from
shortest to longest?
RS, ST, TR
RS, TR, ST
O ST; RS, TR
OTR, RS, ST
O TR, ST, RS
OST, TR, RS
Submit Answer
Answer:which grade are you
Step-by-step explanation:
If you are grade 7 to 9 I know
What number is a common factor of 54 and 66
Answer:
the common factor of 54 and 66 is 6
Step-by-step explanation:
Answer:
I think it would be 6.
Step-by-step explanation:
I googled it.
Principal Anthony greeted 34 students this morning. She greeted 32 students yesterday morning. Today she said goodbye to 88 students. How many more students did she say goodbye to than students she greeted?
Answer:
22
Step-by-step explanation:
you have to add the students She greeted together and then take it away from the students she said goodbye to
HELP PLEASE!
A local little league has a total of 80 players, of whom 20% are left-handed. How many
left-handed players are there?
Answer:
There are 16 left-handed players.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
f(x)=x2+8x+6. What is the value of f(4)?
HELP ME OUT FAST (I will make brainlist to whoever that show explaination.)
Answer:
2 3/4 Gallons
Step-by-step explanation:
4 1/2-1 3/4= 2 3/4
Convert 4 1/2 to 4 2/4 then subtract and you will get 2 3/4