Answer:
z1 = -1.95
z5 = 0.05
z6.5 = 0.8
Step-by-step explanation:
The value of the z score for a mean of 4 and standard deviation is 1.
What is Z score?The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ)/σ
Where x is the raw score, μ is the mean and σ is the standard deviation.
Let us assume that μ = 4, σ = 2, hence for x = 6:
z = (6 - 4) / 2 = 1
The value of the z score for a mean of 4 and standard deviation is 1.
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A 4 pound force acting in the direction of (4,-2) moves an object just over 7 ft from point (0,4) to point (5,-1). Find the work done to move the object to the nearest foot-pound
Answer:
[tex]W=59.7408J[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]f=4N[/tex]
Force Direction [tex]\arrow (4,-2)[/tex]
Distance traveled [tex]d_t=7ft \aprrox\ 2.1336m[/tex]
Distance traveled Direction point (0,4) to point (5,-1)
Generally the equation for work done is mathematically given by
[tex]W=force*distance[/tex]
[tex]W=f*d_t\\W=4*7*2.1336[/tex]
[tex]W=59.7408J[/tex]
Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.
Add three to the quotient of one fourth and 8, then divide by 5
one fourth times the product of 8 and 3, then divide by 5
Add 3 to the product of one fourth and 8, then divide by 5
Add 3 to the sum of one fourth and 8, then divide by 5
Answer: B. One fourth times the product of 8 and 3, then divide by 5.
Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?
Answer:
Step-by-step explanation:
Please see diagram attached.
Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.
So they are 110,000 + 110,000 = 220,000km apart.
Answer:
Step-by-step explanation:
AC is 220000km according to the drawing:
Please help ASAP thanks:)!!!!!
Answer:
I think its
Step-by-step explanation:
left second one
Which of the following is a factor of 21? 0 5 7
What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK
Answer:
z=7
Step-by-step explanation:
3z+5=4z-2
5=4z-2-3z
5=z-2
5+2=z
7=z
z=7
find the arc length of the bolder arc
A) 283.5 mi
C) 733.0 mi
B) 10.2 mi
D) 73.3 mi
Answer:
d its d :)
Step-by-step explanation:
i already did that
Grade low in math help if you can :) Geometry
Lauren wants to build a model airplane using a scale where 2 inches represents 15 feet. If the airplane is 75 feet long, how long should the model be?
A.
5 inches
B.
7.5 inches
C.
10 inches
D.
15 inches
Answer:
C) 10 inches
Step-by-step explanation:
I think the simplest way to do this is as follows:
divide 75 by 15 to get how many times you need to multiply 2in by
75/15=5
since 15(5)=75 or the actual size of the airplane,
2(5)=10 which is the size of the model airplane
When the input is 5, what is the output for the square function?
Answer:25
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
If 1 serving of stir fry use 3/5 cup of rice how many cups are in 11 servings?
Answer:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
Step-by-step explanation:
If 1 serving includes 3/5 cup of rice, then multiplying both numerals here by 11 produces a similar statement for 11 servings:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is
What is the absolute value equation below:
|x|=7∣
THE ANSWER IS 7 because i did the math
In the app Kami, can the teacher see what time you edited the assginment. Like if i edit it at 3:00 pm, can they see what and how fast i typed?
Answer: I don't think so because they can only see it when you turn it in. Trust me I have kami too.
how do this math problem?
of shaded region shapes
question 2)
find the area of each shape.
All measurements are in centimetres.
and please explain me to how to do this cuz I don't understand my teacher in maths
Answer:
photo isn't clear, first of all u have to click clear picture
im confused on this problem
Answer:
y = 54, x = 62
Step-by-step explanation:
plz mark helpful, 5 str, and give brailiest, thx!
Write the function in the form f(x) = (x − k)q(x) + r for the given value of k. F(x) = x3 − x2 − 18x + 19, k = 4 f(x) = Demonstrate that f(k) = r. F(4) =
Solution :
Given :
[tex]$f(x)=x^3-x^2-18x+19$[/tex]
By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then
[tex]$f(x)=(x-k)q(x)+r$[/tex]
Here, k = 4
Therefore, divide the f(x) with (x - 4) to find the q(x) and r.
__________________
[tex]$x-4$[/tex] | [tex]$x^3-x^2-18x+19$[/tex] | [tex]$x^2+3x-6$[/tex]
[tex]$x^3-4x^2$[/tex]
------------------------------------
[tex]$3x^2-18x$[/tex]
[tex]$3x^2-12x$[/tex]
-------------------------------------
[tex]$-6x+19$[/tex]
[tex]$-6x+24$[/tex]
-------------------------------------
[tex]$-5$[/tex]
Therefore,
q(x) = [tex]$x^2+3x-6$[/tex]
r = -5
[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]
[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]
[tex]$=-5$[/tex]
Which graph represents the function f(x) = 4|x|?
Which graph represents the function f(x) = 4|x|?
It looks like a "V" going straight up from 0, and hits both 4 and -4 y while going up perfectly
The graph opens upward, and it has a vertex of (0,0)
What is vertex?The vertex of an equation is the minimum or the maximum point on the graph of the equation
The equation of the graph is given as:
[tex]f(x) = 4|x|[/tex]
The above equation represents an absolute value function
An absolute value function is represented as:
[tex]f(x) = a|x -h| + k[/tex]
So, by comparison, we have:
[tex]a = 4[/tex]
[tex]h = 0[/tex]
[tex]k = 0[/tex]
This means that the graph opens upward, and it has a vertex of (0,0)
See attachment for the graph of [tex]f(x) = 4|x|[/tex]
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please answer the math question, I will give brainlie'st to the first to answer correctly and has a very easy to understand layout for the answer. Please explain how you figured it out.
15 + 4(10 - 2 · 5) + 7 =
7
22
182
767
Answer: 52
15 + 4 (10 - 2 × 5) + 7
15 + 4×(10 - 10) + 7
15 + 0 + 7
= 22
...sorry i thought it was a decimal between 2 and 5
Answer:
22
Step-by-step explanation:
15+4(10-2×5)+7
15+4(10-10)+7
15+4×0+7
15+0+7
15+7
22
If AABC = APQR, then
AB =
Help please
Answer:
PQ should be the answer
Step-by-step explanation:
a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all?
8. A truck is carrying peach juice, pear juice,
and grape juice bottles in a ratio of 4:3:5. If
there are 76 peach juice bottles, then how many
pear juice bottles are there?
Answer:
57 pear juices
Step-by-step explanation:
because we know we have 76 peach juices and the ratio is 4, so we get 19. This means that 19=x. And then we multiply 19 by 3 and we get 57.
NEED HELP ASAP!!!!!Can someone help me!???!
Answer:
c
Step-by-step explanation:
because it makes the most sense
Answer:
I am going to say c
Step-by-step explanation:
Scuba diver dives at a rate of 20 ft./min. If the diver starts at the surface what is the depth of the diver after 4 minute
Answer:
80 ft
Step-by-step explanation:
Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.
AHH IM BEGGING OMG YOU DONT KNOW HOW IMPORTANT THIS IS I WILL GIVE BRAINLIEST AND I WILL BE FOREVER GREATEFUL PLSSSSS
Owen can type 30 and 2/3 words in 2/35 of a minute. What is his rate in words per minute?
Answer:
Owen can type 536 2/3 per minute
Step-by-step explanation:
let me know if this is wrong
Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill
was 150% of the number of people who participated in a biking class. How many people ran
a treadmill at
the gym last week?
people ran on a treadmill at the gym last week.
Show work ~ Aniya v
Answer:
180
Step-by-step explanation:
This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.
There are two ways to solve
1. [tex]\frac{150*120}{100}[/tex]
2. [tex]120+\frac{120\\}{2}[/tex]
To do the first one:
1. Multiply the values in the numerator
18000/100
2. Divide
180
To do the second one:
1. Divide the fraction
120 + 60
2. Add
180
Suppose that the path of a newly discovered comet could be modeled by using one branch of the equation x2/4 - y2/9=1, where distances are measured in astronomical units. Name the vertices of the hyperbola and then graph the hyperbola.
Answer:
the answer is A just tool the quiz lesson 5 hyperbolas Algebra 2B unit 5 these are the correct answers
1.A
2.B
3.D
4.A
5.B
6.D
7.A
hopes this helps everyone
The hyperbola has two vertices at (-2,0) and (2,0)
We have given that the equation
[tex]\frac{x^2}{4}-\frac{y^2}{9}=1[/tex]
What is the equation of the hyperbola?[tex]\frac{x^{2} }{a^2}+\frac{y^2}{b^2} =1[/tex]
Compare the above equation of the hyperbola with given equation
therefore a=2
vertices are (-a,0) and (a,0)
Therefore the vertices are (-2,0) and (2,0)
See the graph of the hyperbola in link given below.
The hyperbola has two vertices at (-2,0) and (2,0)
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find the slope and y intercept form equation from the table
Answer:
y=x+5 or y=1x+5
Step-by-step explanation:
i hope this helps :)
What is the solution to this inequality?
4(2x + 2) + 12 > 100
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the measure of angle CBD? ° What is the length of segment CD? cm Which trigonometric ratio can be used to compare BC to CD using angle CBD? What is the approximate length of BC? cm What is the approximate length of BD? cm
Answer:
Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1. For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.
2. Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.
3. The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).
4. The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.
5. The approximate length of BC can be determined as,
Tan(54°)=CD/BC
BC = CD/Tan(54°)
BC = 8.719 cm
6. The approximate length of BD can be determined using the Pythgorus theorem,
BD² = CD² + BC²
BD = 10.5835 cm
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Find the solution to the system
of equations.