Answer:
There is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5
Step-by-step explanation:
From the question we are told that
The population mean is less than 1.5
The sample size is n = 7
The sample data is 2, 0, 1, 5, 0, 2, and 3
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{ \sum x_i }{ n }[/tex]
=> [tex]\= x = \frac{ 2 + 0 + 1 + 5 + 0 + 2 + 3 }{ 7 }[/tex]
=> [tex]\= x = 1.857 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (2 - 1.857)^2 + (0 - 1.857)^2 +\cdots (3 - 1.857)^2}{7} }[/tex]
=> [tex]\sigma = 1.773[/tex]
The null hypothesis is [tex]H_o : \mu = 1.5[/tex]
The alternative hypothesis is [tex]H_a : \mu < 1.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{\= x - 1.857 }{ \frac{1.773 }{\sqrt{7} } }[/tex]
=>[tex]z = 0.53[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(z < 0.53 )[/tex]
From the z-table
[tex]P(z < 0.53 ) = 0.70194[/tex]
So
[tex]p-value = 0.70194[/tex]
From the values obtained we see that [tex]p-value > 0.05[/tex]
Here there is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5
True or false.The number -4/2 is the same as (-4)/2
find three consecutive integers whose sum is 1266
Answer:
(x)t(xt1)t(xt2)=1266
Step-by-step explanation:
here here we will use the algebra to find three consecutive integers whose sum is 1266 we start by assigning x to the first integer since there are consecutive it means that the second number will be x plus 1 and the third will be x plus 2 they shall all add up to 1 2 6 6 therefore you can write the equation as a following
Is the statement 21:35 = 24:40 true?give reason
Answer:
Yes. The are equivalent to each other
Step-by-step explanation:
21 : 35
The LCM of these two numbers is 7
When we divide both of them by 7, we're left with 3:5
24 : 40
The LCM of these two numbers is 8
When we divide both numbers by 8, we're left with 3:5
And, 3:5 = 3:5, so we can say 21:35 = 24:40
PS: Also, if we multiply 21 : 35 by 8 and 24 : 40 by 7, we get the same result, i.e 168 : 280 which also proves that they are equivalent.
Evaluate the expression for the given value of x. 8x + 4 for x = 8 The solution is
Answer:
68
Step-by-step explanation:
bidmas rule
8×8=64
64+68
find the equation of a line that is parallel to this line and passes through the point (-3,1)
Answer:
Two possible equations:
Point-slope form is [tex]y-1=-\frac{2}{3} (x+3)[/tex]
Slope-Intercept form is [tex]y=-\frac{2}{3}x+-1[/tex]
Step-by-step explanation:
So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope([tex]m[/tex]).
Then, we need to know the slope-intercept form of an equation. The point slope form is [tex]y-y1=m(x-x1)[/tex] where [tex]m[/tex] is the slope of the line and [tex]y1[/tex] and [tex]x1[/tex] represent the point on the graph. This is the equation we'll use for the line.
So now that we understand what we need to find, we need to find the slope of the existing line. To do this we use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex]. We can plug in the points (-2,3) and (1,1) on the graph to get [tex]m=\frac{1-3}{1+2}[/tex]. When we simplify this we get [tex]m=-\frac{2}{3}[/tex] so we know our slope is [tex]-\frac{2}{3}[/tex]. Lastly, all we need to do is plug the slope and the new point into our point slope equation to get [tex]y-1=-\frac{2}{3} (x+3)[/tex].
If you needed to go further and put this into slope-intercept form, you could solve the equation for y to get [tex]y=-\frac{2}{3}x+-1[/tex]
Identify all the numbered angles congruent to given angle . Explain
Answer:
Angles 2, 5 and 7 are congruent
Step-by-step explanation:
Two parallel lines cut by a transversal line so angles opposite each other are equal.
angles 7 and 5 are in same place as 2 and given angle
A line intersects the points
(7,6) and (11, -6).
What is the slope of the line in
simplest form?
m = [?]
Answer:
[tex]m=-3[/tex]
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute and calculate
[tex]x_1=7[/tex]
[tex]x_2=11[/tex]
[tex]Substitute[/tex] [tex]into\ m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]y_1=6[/tex]
[tex]y_2=-6[/tex]
Substitute
[tex]m=\frac{-6-6}{11-7}[/tex]
Calculate the sum or difference
[tex]m=\frac{-12}{4}[/tex]
Cross out the common factor
[tex]m=-3[/tex]
I hope this helps you
:)
Hello.
Let's use the slope formula in order to find the slope:
[tex]\bf{\displaystyle\frac{y_2-y_1}{x_2-_x_1}[/tex]
Where
y₂ = the y-coordinate of the second point (-6)
y₁=the y-coordinate of the first point (6)
x₂=the x-coordinate of the second point (11)
x₁=the x-coordinate of the first point (7)
Plug in the values:
[tex]\bf{\displaystyle\frac{-6-6}{11-7} =\frac{-12}{4} =-3[/tex]
Therefore, m (the slope) is equal to -3.
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
In the triangle above, what is sin A
Answer:
[tex]\large\boxed{\sf sin(A)=0.5}[/tex]
Step-by-step explanation:
A right angled triangle is given to us and we would like to find out the value of sin(A) .
From the triangle we can see that the measure of angle BAC is 30° . Therefore ,
[tex]\longrightarrow A = 30^o[/tex]
On using sin both sides ,
[tex]\longrightarrow sin(A) = sin30^o[/tex]
As we know that the value of sin30° = 1/2. So;
[tex]\longrightarrow sin(A)=\dfrac{1}{2} [/tex]
Simplify by converting it into decimal ,
[tex]\longrightarrow \underline{\underline{sin(A) = 0.5}} [/tex]
Hence option B is correct .
And we are done!
A hypothesis test in which rejection of the null hypothesis occurs for values of the
point estimator in either tail of the sampling distribution is called
a. The null hypothesis
b. The alternative hypothesis
c. A one-tailed test
d. A two-tailed test
is my answer correct?
[tex] \rm\frac{d}{dx} \left ( \bigg( \int_{1}^{ {x}^{2} {}{} } \frac{2t}{1 + { t}^{2} } dt\bigg) \bigg( \int_{ 1 }^{ lnx} \frac{1}{(1 + {t)}^{2} }dt \bigg)\right) \\ [/tex]
Applying the product rule gives
[tex]\displaystyle \frac{d}{dx}\int_1^{x^2}\frac{2t}{1+t^2}\,dt \times \int_1^{\ln(x)}\frac{dt}{(1+t)^2} + \int_1^{x^2}\frac{2t}{1+t^2}\,dt \times \frac{d}{dx}\int_1^{\ln(x)}\frac{dt}{(1+t)^2}[/tex]
Use the fundamental theorem of calculus to compute the remaining derivatives.
[tex]\displaystyle \frac{4x^3}{1+x^4} \int_1^{\ln(x)}\frac{dt}{(1+t)^2} + \frac{1}{x(1+\ln(x))^2}\int_1^{x^2}\frac{2t}{1+t^2}\,dt[/tex]
The remaining integrals are
[tex]\displaystyle \int_1^{\ln(x)}\frac{dt}{(1+t)^2} = -\frac1{1+t}\bigg|_1^{\ln(x)} = \frac12-\frac1{1+\ln(x)}[/tex]
[tex]\displaystyle \int_1^{x^2}\frac{2t}{1+t^2}\,dt=\int_1^{x^2}\frac{d(1+t^2)}{1+t^2}=\ln|1+t^2|\bigg|_1^{x^2}=\ln(1+x^4)-\ln(2) = \ln\left(\frac{1+x^4}2\right)[/tex]
and so the overall derivative is
[tex]\displaystyle \frac{4x^3}{1+x^4} \left(\frac12-\frac1{1+\ln(x)}\right) + \frac{1}{x(1+\ln(x))^2} \ln\left(\frac{1+x^4}2\right)[/tex]
which could be simplified further.
Question 44 of 44
Which of these is an optional deduction for money to be taken out of an
employee's paycheck?
A. Federal income tax
B. Medicare
C. Life insurance
D. Social Security
Answer : Life Insurance
Explanation : Have A Good Day
◊ YusuCr ◊
The optional deduction for money to be taken out of an employee's paycheck is life insurance.
Option C is the correct answer.
What is an employee's paycheck?An employee's paycheck is a document issued by an employer that lists the amount of money an employee has earned during a certain pay period and the amount of money that has been withheld for taxes, insurance, and other deductions.
It also includes the net amount of money that the employee is entitled to receive after all deductions have been made.
We have,
Life insurance is an optional deduction for money to be taken out of an employee's paycheck.
The other options listed (Federal income tax, Medicare, and Social Security) are typically mandatory deductions required by law.
Thus,
The optional deduction for money to be taken out of an employee's paycheck is life insurance.
Learn mroe about employee's paychecks here:
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Find the values of x and y if:
4x - 2y= -4 and y = 2/3x + 8/3
Answer: x = 3/4; y = 19/6
Step-by-step explanation:
plug in y = 2/3x + 8/3 into 4x - 2y = -4
4x - 2(2/3x + 8/3) = -4
4x - 4/3x - 18/3 = -4
12/3x - 4/3x = -12/3 + 18/3
8/3x = 6/3
8/3x = 2
x = 2(3/8)
x = 6/8 = 3/4
plug the x value into y = 2/3x + 8/3
y = 2/3(3/4) + 8/3
y = 1/2 + 8/3
y = 3/6 + 16/6
y = 19/6
If;= V-1, what is the value of ; i3?
-1
i
1
-i
Answer:
A. -1
Step-by-step explanation:
hope this helps
its i
jshsbsbbsnsnsnnsnene
correct answer gets brainliest
Answer:
Therefore If you exchange $522 for euros, then we will get
Step-by-step explanation:
mark me brainliest!!
Answer:
412.38Є
Step-by-step explanation:
The answer is simple, since 1$ = 0.79Є, multiply 0.79 by 522, or the other way around, if you want.
0.79*522
=412.38Є
Hope it helped.
Select the correct answer from the drop-down menu.
The design of a building that has a square pyramid roof as a roof is shown. The cost of material for the outside of the building and for the roof
ranges from $25 per square foot to $50 per square foot. The budget for this material is $500,000. The rectangular front of the building has a
length twice as long as its height. The slant height of the roof is the same as the height of the rectangular front of the building.
What is the maximum possible length of the rectangular front of the building to the nearest foot?
feet
The maximum possible length of the rectangular front of the building is
The maximum length of the rectangular front is the highest length of the rectangular front, and the value is 128.1 feet
How to determine the maximum possible length?Let the dimension of the rectangular front be x and y.
Such that:
y = 2x
So, the area of the rectangular front is:
A = xy
[tex]A = 2x^2[/tex]
The surface area of the pyramid roof is:
A = 4bh
Where:
b = base =25
h = height =18
So, we have:
[tex]A = 4* 25 * 18[/tex]
[tex]A = 1800[/tex]
The total surface area of the figure is:
[tex]T = 1800 +2x^2[/tex]
The range of the cost of material is: $25 per square foot to $50 per square foot.
So, the maximum cost is:
[tex]50 * (1800 +2x^2) = 500000[/tex]
Divide both sides by 50
[tex]1800 +2x^2 = 10000[/tex]
Subtract 1800 from both sides
[tex]2x^2 = 8200[/tex]
Divide both sides by 2
[tex]x^2 = 4100[/tex]
Take the square root of both sides
x = 64.03
Recall that:
y = 2x
So, we have:
y = 2 * 64.03
y = 128.06
Approximate
y = 128.1
Hence, the maximum possible length of the rectangular front of the building is 128.1 feet
Read more about maximum area at:
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Answer: 82
Step-by-step explanation:
A rectangular table top has length 1.8 m and width 1.2 m.
A force of 600 N is applied to the whole table top.
Calculate the pressure in N/m2 to the nearest integer.
The equation of pressure is given by:
[tex]p = \frac{f}{s} [/tex]
where p is the pressure.
f is the applied force.
s is the surface area to which the force is applied.
I will start off by calculating the surface area of the table top given by:
[tex]s = l \times w = 1.8 \times 1.2 = 2.16[/tex]
s=2.16 m²
We know that f=400 N, that is given.
[tex]p = \frac{400 \: n}{2.16 \: m {}^{2} } [/tex]
Plug this on your calculator (excluding the units lol)
[tex]p = 185.185 \frac{n}{m {}^{2} } [/tex]
[tex]p = 185 \frac{n}{m {}^{2} } [/tex]
Find the LCD for the following pair of fractions 1/10 and 17/45
Answer:
Step-by-step explanation:
LCD: 90
10: 10, 20, 30, 40, 50, 60, 70, 80, 90
45: 45, 90
9/90 and 34/90
3.) Susie picks strawberries on her uncle's farm. He pay's her $0.30 per container for the first 50
containers of strawberries that she picks in a day and $0.50 per container for all containers picked
over 50. On Friday Susie picked 175 containers of strawberries. How much did she earn?
Answer:
77.5
Step-by-step explanation:
For 0.30 for the first 50, just subtract 50 from 175, that leaves 125.
(An easy way to do this is think of quarters, 25+25=50 and 50+25=75 so all you have to do is subtract two 25s and you know it's 125)
Put the 125 to the side, and multiply 50 to 0.30, you get 15.
Then for 0.50 over 50 containers, multiply the remaining 125 with 0.50, you get 62.5.
Add 62.5 and 15 together, that gives you 77.5
URGENT WILL AWARD BRAINLIEST!!!!!
Simone estimates that he spends 1/4 of his paycheck on rent and 1/5 of his paycheck on food. If his paycheck is $300, how much does she have left after paying for rent and food?
Answer: 165
Step-by-step explanation:
1/4=5/20=25/100
1/5=4/20=20/100
25+20=55%=0.55
0.55 * 300= 165
A circle is represented by the equation x2 + 8x + y2 – 12y = –29.
Describe the algebraic technique(s) needed to rewrite the equation in standard form. Identify the center and radius of the circle. Show your work.
Question 2
A classroom has 15 girls and 11 boys.
(a) Find the ratio of boys to girls.
Answer:
11:15
Step-by-step explanation:
Solve for the indicated variable. Include all of your work in your answer. Submit your solution.
A=h/2(a+b); for h
Answer:
[tex]\displaystyle h= \frac{2A}{a+b}[/tex]
Step-by-step explanation:
The given formula is:
[tex]\displaystyle A=\frac{h}{2}(a+b)[/tex]
We need to solve the formula for h.
Multiply by 2:
[tex]2A=h(a+b)[/tex]
Divide by (a+b)
[tex]\displaystyle \frac{2A}{a+b}=h[/tex]
The required solution is:
[tex]\displaystyle h= \frac{2A}{a+b}[/tex]
How to multiply fractions and decimals and divide fractions
Answer:
To multiply fractions, all you have to do is multiply the numerators and denominators and simplify the result. To divide fractions, you simply have to flip the numerator and denominator of one of the fractions, multiply the result by the other fraction, and simplify.
Step-by-step explanation:
yh
Parallel Lines and Transversals Find the measure of each angle indicated. Pls help me on these at least a couple of them I really need help I'll give brainliest if it is correct
Answer:
75°, 112°, 125°, 113°, 89°, 98°, 90°, 130°
Step-by-step explanation:
The marked angle pairs are one of ...
vertical angles -- congruentlinear pair -- supplementaryconsecutive interior -- supplementaryalternate interior -- congruentcorresponding -- congruentalternate exterior -- congruent1) vertical angles (congruent): ? = 75°
2) linear pair (supplementary): ? = 180° -68° = 112°
3) consecutive interior (supplementary): ? = 180° -55° = 125°
4) alternate interior (congruent): ? = 113°
5) corresponding (congruent): ? = 89°
6) alternate exterior (congruent): ? = 98°
7) alternate interior (congruent): ? = 90°
8) alternate interior (congruent): ? = 130°
_____
Additional comment
For parallel lines in general, all of the obtuse angles are congruent, and all of the acute angles are congruent. All of the obtuse angles are supplementary to the acute angles. (In (7), all angles are right angles, so all are congruent.) These facts can help you with problems like this one.
Learning the language (names/relationships) of these angles will be helpful to you in the future.
(-2.66) multiplied by (18.44)
Answer:
I think the answer you're looking for is -49.05
(longer version: -49.0504)
Does the graph represent a function? Please help. Look at photo
Answer:
A function is defined as an operation on a number, which gives only one output for every input
while graphing a function, the x-ordinate denotes the input and the y-ordinate denotes the output of the function
Now, lets look at the graph
for the input value '4' , we notice that there are 2 possible outputs. The output can be either 2.5 or -2.5
Since there are multiple outputs for almost every input, this graph cannot denote a function since a function gives only one output
A rectangular prism has a volume of 465 cm3, a length of 6.2 cm, and a width of 5 cm. What is the height of the prism?
Question 1 options:
5 cm
10 cm
15 cm
Answer:
15 cm
Step-by-step explanation:
basically, set it up like:
465 = 6.2 ·5·x
then, just solve for x
465 = 31x
x=15
I only answered cause of the killua pfp.
love it btw.
What is the slope of the line that passes through the points (9, 5)(9,5) and (21, 1) ?(21,1)? Write your answer in simplest form.
Answer:
i know this but do not lol
Step-by-step explanation:
Answer:
did u mean to put (9,5) and (21,1) in there twice? but if so ur answer is m= -1/3
TRY USING SYMBOLAB I USE ALL THE TIME
An older person is three years older than eight times the age of a younger person. The sum of their age is 21. Find their ages.
Lets have the younger person be x.
The older person will be 8x + 3.
The sum of their ages is 21, so we can get this equation:
x + (8x+3) = 21
9x+3 = 21
Subtract 3 from both sides
9x = 21
x=3 --> The younger person is 3 years old, and now we can substitute that for the older person (8x+3):
(3 * 8) + 3 = 27
The younger person is 3 years old, and the older person is 27.