Answer: 0.0885
Step-by-step explanation:
To find : p-value of the z-test statistic.
p-value of the z-statistic depends on the alternative hypothesis.
Here , Alternative hypothesis : µ < $21,706 , which is a left tailed hypothesis.
So we will check the area to the left side of the z-statistic.
Since z= -1.35
P(Z<z) =P(Z<-1.35)= 1- P(Z<1.35)
= 1- 0.9115
= 0.0885
Hence, the required p-value = 0.0885
Answer:
0.0885
Step-by-step explanation:
Write an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9.
Answer:
y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]
Step-by-step explanation:
y = 12x - 9
Slope of line perpendicular to given is m = - [tex]\frac{1}{12}[/tex]
P(7, 10)
y - 10 = - [tex]\frac{1}{12}[/tex] (x - 7)
y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]
An equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)
The equation of a line in point-slope form is expressed as;
y - y0 = m(x-x0)
m is the slope of the line(x0, y0) is any point on the lineGiven the equation of a line y = 12x - 9
Slope = 12Slope of the line perpendicular is -1/12Substitute m = -1/12 and ()7, 10) into the equation above to have;
y - 10 = -1/12(x-7)
Hence an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)
Learn more on equation of a line here: https://brainly.com/question/19011142
Is each graph a function or not?
Answer:
IN THIS ORDER
NO
NO
YES
YES
NO
YES
Step-by-step explanation:
Hope this helped if I got it wrong, sorry ill edit it if I did :)
The explains why a x b = b x a and a + b = b + a.
How to solve
3sin^2x-5sinx-2
A survey of U.S. adults found that 67% oppose raising the Medicare eligibility age from 65 to 67. You randomly select 80 U.S. adults S and ask them how they feel about raising the Medicare eligibility age from 65 to 67. Find the probability that the number who oppose raising the age is (a) at least 65, (b) exactly 50, and (c) more than 60, and (d) identify any unusual events. Explain.
Answer:
0.477%
6.55%
5.05%
Event in question (a)
Step-by-step explanation:
Given that:
p = 0.67 ; n = 80
Using Normal approximation :
Mean (m) = np = 80 * 0.67 = 53.6
Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057
probability that the number who oppose raising the age is
(a) at least 65
65 - 0.5 = 64.5 = x
Z = (x - m) / s
Z = (64.5 - 53.6) / 4.2057 = 2.592
P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)
(b) exactly 50
x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5
Z = (50.5 - 53.6) / 4.2057 = - 0.737
Z = (49.5 - 53.6) / 4.2057 = - 0.974
P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)
0.23056 - 0.16503 = 0.06553
(c) more than 60, and (d) identify any unusual events
x = 60 + 0.5 = 60.5
Z = (60.5 - 53.6) / 4.2057 = 1.64
P(Z > 1.64) = 0.0505
D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%
Jill would like an increase in the hourly wage she receives from the Mathematics Research Center, where she works in the mail room. Her boss gives her an equation to solve, telling her that her raise is the solution to the equation, but only if she can solve it. The equation is x 2- 6x + 9 = 0. What was the amount of her raise per hour? Answer:
Answer:
Jill will receive an increase of $3 per hour
Step-by-step explanation:
The Quadratic Equation
The quadratic equation can be represented in the standard form as:
[tex]ax^2+bx+c=0[/tex]
being a,b, and c are constants.
It can be solved by using the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Jill would like an increase in her hourly wage. The increase will come as the solution for a maths equation.
She must solve the equation:
[tex]x^2-6x+9=0[/tex]
The solution to the equation, or value of x, is the increase in her hourly wage.
Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:
[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]
[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]
The square root is 0, therefore is only one solution:
[tex]\displaystyle x=\frac{6}{2}=3[/tex]
x = 3
Thus, her raise per hour is $3.
ASE
BCDE is a trapezium with angle CDE = 90°. ABEF is a straight line.
Q2)
D
Diagram
accurately
1159
А
11030
E
F
B
Work out the size of the angle marked x.
Answer:
128 deg
Step-by-step explanation:
The sum of the measures of the angles of a polygon of n sides is
(n - 2)180
A trapezium has 4 sides, so the sum of the measures of the angles is
(4 - 2)180 = 2(180) = 360
m<CBE + m<C + m<D + m<DEB = 360
Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.
m<ABC + m<CBE = 180
115 + m<CBE = 180
m<CBE = 65
m<C = x
m<D = 90
Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.
m<DEB + m<DEF = 180
m<DEB + m<103 = 180
m<DEB = 77
m<CBE + m<C + m<D + m<DEB = 360
65 + x + 90 + 77 = 360
x + 232 = 360
x = 128
Answer: 128 deg
so we will get a lot of teiangles here.
90°+x+CED=180°
also CED+DEF=180°(half circle, 360/2)
CED+103°=180°
CED=180-103=77°
77°+90°+X/2=180°
x/2=180-167=13°
Amine passes through the points (710) and (7, 20). Which statement is true about the line?
It has a slope of zero because it in the formula -
is zero, and the numerator of a fraction cannot
It has a slope of zero because in the formula -
is zero, and the denominator of a fraction
cannot be zero
It has no slope because yn dy in the formula
is zero, and the numerator of a fraction cannot be
it has no slope because ty - to in the formula m-
is zero, and the denominator of a fraction cannot be
zero
Answer: Choice D)
No slope, the term x2-x1 is zero and we cannot have zero in the denominator.
=========================================
Explanation:
The two points both have x coordinates x = 7. Since both x coordinates are the same, they subtract to 0. Recall that something like 1/0 is undefined, so we cannot have 0 in the denominator.
The line through (7,10) and (7,20) is a vertical line. All vertical lines have undefined slopes.
Lee is making scarfs for a shelter. He purchased 11 skeins of yarns. Each skein has 660 feet of yarn. He needs 200 yards of yarn to make one scarf.
Answer:
Give me sum
Step-by-step explanation:
Answer:
Most scarves will use one to two skeins of yarn. According to the chart above, you will probably need about 300–650 yards, depending on the weight of yarn, the colors, the stitches, style, and length amongst other factors.
Step-by-step explanation:
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each
club member must collect for the club to meet the goal?
10n +30<500
10n + 30 500
30n + 10 < 500
30n + 10 > 500
OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe
Answer:
No, because a mean is the average.
Step-by-step explanation:
Consider the following example:
The set is:
19, 23, 11, 31
if you add all these up you get 84.
Then you divide by 4 and get 21. So, 21 is the mean but, when you look at the set of numbers, 21 is not there. So, the same goes for any number, a number can still be the mean even if it is not in the set.
Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it
Answer: This is a tough question
Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D
Step-by-step explanation:
Help Please, im stuck on this question.
Answer:
irrational
Step-by-step explanation:
3/4 + sqrt(2)
3/4 is rational
sqrt(2) is irrational
The sum of a rational and an irrational number is irrational
Can someone tell me if I’m correct
How many points will I get if I get 60 points every 5 mins and it goes on for 4 hours?
Answer:
well u multiply 60 and 12 which is 720 then multiply that by 4 that equals 2,880 more points
What is the equation of the line that passes through the point -4 and four and has a slope of -3
Answer:
y = -3x-8
Step-by-step explanation:
(-4 ,4)
4 = -3(-4) + b
4 = 12 + b
b = -8
y = -3x-8
PLZ ANSWER IF U KNOW THE ANSWER
Answer:
AEF
Step-by-step explanation:
NOT B
a farmer grows 128 red tomato plants and 102 yellow tomato plants each plant produces about 32 tomatoes the farmer plans to sell each tomato for$2
Answer:
14720$ he will make and there are 7360 tomatoes
Step-by-step explanation:
Find the length of AB PLEASE HELP
Answer: D) 53.74
This value is approximate.
===========================================
Work Shown:
x = length of AB
Use the sine rule to say
sin(angle) = opposite/hypotenuse
sin(B) = AC/AB
sin(61) = 47/x
x*sin(61) = 47
x = 47/sin(61)
x = 53.7376 ..... make sure your calculator is in degree mode
x = 53.74
So AB = 53.74 approximately
Jose uses the pattern in rows 1 and 8 in the multiplication table below to find ratios that are equivalent to 1:8.
A multiplication table. In the row labeled 1, the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are highlighted. In the row labeled 8, the numbers 8, 16, 24, 32, 40, 48, 56, 64, and 72 are highlighted.
If Jose extends the pattern in the highlighted rows to include a ratio that has a first term of 10, what would be the second term of the ratio?
10
20
80
90
Answer:
10Step-by-step explanation:
Answer:
Your answer would be 20 not 10
Step-by-step explanation:
trust me i took the test
If I litres of Paint cost R10,00
how many will 10 litres of paint
cost ?
Answer:
10000
hope it helps!
.....
A local hamburger shop sold combined total 500 hamburgers and cheeseburgers the number of cheeseburgers old was three times the number of hamburger sold how many hamburgers were sold?
Answer:
125 hamburgers
Step-by-step explanation:
Let x be the number of hamburgers sold and 3x the number of cheeseburgers sold.
So:
x+3x=500
4x=500
x=125
So there are 125 hamburgers sold.
HOw do I complete all my homework on time? I have a BUNCH of homework
Answer:
One helpful technique I used to stay focused is to buy a pack of m&ms or mini candies and every time I complete a problem I eat one candy or m&m. Also, try making a goal for yourself for example "my goal is to complete 100 problems in an hour"
Step-by-step explanation:
I hope this helps
message me with any more questions u have
What is the true answer?
Answer:
What is that stuff
Step-by-step explanation:
It is C i think?
Answer:
first and last one
Step-by-step explanation:
Is this a function?
Answer:
It isn't a function.
Step-by-step explanation:
Since there are two points on the same x value, in this case x=3, this means that these points can not be a function.
Find the angle θ between vectors r and s, where |r| = 16, |s| = 9, and r · s = 125. θ = 85.87° θ = 82.65° θ = 29.77° θ = 16.26°
Answer:
C - 29.77
Step-by-step explanation:
Edge 2020
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The angle θ between vectors r and s is 29.766°.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of two vectors is written as,
[tex]r \cdot s = |r|\cdot |s| \times \cos(\hat I)[/tex]
Substituting the values,
125 = 16 · 9 × Cos(θ)
0.868 = Cos(θ)
θ = 29.766°
Hence, the angle θ between vectors r and s is 29.766°.
Learn more about Multiplication:
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#SPJ2
What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60
Answer:
[tex]y = \frac{224}{15}[/tex]
Step-by-step explanation:
Given
[tex]y = 7x + 14[/tex]
[tex]2x + 4y = 60[/tex]
Required
Find y
First, substitute 7x + 14 for y in the second equation:
[tex]2x + 4y = 60[/tex] becomes
[tex]2x + 4(7x + 14) =60[/tex]
Open bracket
[tex]2x + 28x + 56 = 60[/tex]
[tex]30x = 60 - 56[/tex]
[tex]30x = 4[/tex]
Solve for x
[tex]x = \frac{4}{30}[/tex]
[tex]x = \frac{2}{15}[/tex]
[tex]y = 7x + 14[/tex] becomes
[tex]y = 7 * \frac{2}{15} + 14[/tex]
[tex]y = \frac{14}{15} + 14[/tex]
[tex]y = \frac{210+14}{15}[/tex]
[tex]y = \frac{224}{15}[/tex]
Hence:
[tex]y = \frac{224}{15}[/tex]
At Barlow school, 4/9 of the 873 students are boys. At Willow school, 2/3 of the 630 students are girls
Which school has a greater of boys and how many?
Answer:
I have attached the answer
of the following pair of variables indicate whether you would expect a positive, negative, or no correlation to exist.
Maximum daily temperature and cost to coolant house
Answer:
B
Step-by-step explanation:
Bbbbb bbbbbbbbbbb
please answer these questions
Step-by-step explanation:
you need to multiple first by second