Answer:
y = 4x + 21
Step-by-step explanation:
Hello!
Point-slope form is y - y1 = m(x - x1)
y1 is the y point
x1 is the x point
m is the slope
Put in what you know
y - -3 = 4(x - -6)
Subtracting a negative is the same as adding
y + 3 = 4(x + 6)
Distribute the 4
y + 3 = 4x + 24
Subtract 3 from both sides
y = 4x + 21
The answer is y = 4x + 21
Hope this helps!
14feet 23feet round each measurement to the nearest ten
PLZ HELP 55 POINTS Two quantities, x and y, are related proportionally such that 3x=2y . Which equation shows the same proportional relationship? A x/y=3/2 B x/2=y/3 C x/3=y/2 D x/2=3/y
Answer:
B
Step-by-step explanation:
3x = 2y
One way to solve this is to simply plug in values. If we say the following:
x = 2
y = 3
Then, we can start testing.
A: [tex]x/y = 3/2[/tex]
by plugging 2 and 3 in, we see that A doesn't work.
B: x/2 = y/3
This works! First we should look at the other equations.
C: x/3 = y/2
Nope.
D: x/2 = 3/y
This also works, but only with certain numbers. If we were to make x = 4, and y = 6, this wouldn't work.
You could also find out all of this using algebra. so, our anwser is B.
Assume that thermometer readings are normally distributed with a mean of 0C and a standard deviation of 1.00C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between and
Answer: 0.0546 and 0.9829
Step-by-step explanation:
solution:
= P( 1.50< Z <2.25 )
= P(Z <2.25 ) - P(Z <1.50 )
Using z table,
= 0.9878-0.9332
=0.0546
b.
= P( -2.12< Z <3.73 )
= P(Z <3.73) - P(Z <-2.12 )
Using z table,
= 0.9999-0.0170
=0.9829
Which Expression is equivalent to 4(6 + x + 3x)
4(6) + 4(x) + 4(3x)
24 - 4x + 12x
-24 + 4x + 12x
Answer:
=4(6) + 4(X) + 4(3x)
=24+4x+12x
=24+16x
Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The die is rolled three times, and the colors that appear face up on the first, second, and third rolls are recorded. (a) Find the probability of the event that exactly one of the colors that appears face up is red.
Answer:
12/27
Step-by-step explanation:
Step 1
We find all the total number of possible outcomes of rolling two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow.
Where
R = Red
B = Blue
Y = Yellow
RRR, BBB, YYY, RBY, RYB, YBR, YRB, BRY, BYR, BBY, BBR, YYB, RRY, RRB, BYB, BRB, YRY, YBY, RYR, RBR,YRR, BRR, RBB, RYY, BYY,YBB, YYR
We have 27 Total outcomes for this 6 faced die
Step 2
The event that exactly one of the colors that appears face up is red.
RBY, RYB, YBR, YRB, RBB, RYY, BBR,
BRB, BRY, YRY, BYR, YYR
Total number of Possible outcomes where EXACTLY one of the colours that appears face up is red = 12
The probability of the event that exactly one of the colors that appears face up is red = Number of possible outcomes/ Total number of outcomes
= 12/27
When conducting a residual analysis, which plot would you look at to determine if the equal variance assumption is satisfied?
a. Scatter plot of Yhat vs. QN X
b. Scatter Plot of Residuals vs QN X
c. Scatter Plot of Residuals vs Yhat
d. Stem-and-Leaf Plot of the Zresiduals
Answer:
C.Scatter Plot of Residuals vs Yhat
Step-by-step explanation:
I’m confused of how to do this
Answer:
y≤0
Step-by-step explanation:
The line is 0 for all x so y must be the one being manipulated
Because the line is solid and shaded on the negative side, y must be less than or equal to 0
The x-intercept of the line y = 4x - 16 is the point (_,0)
Answer:
the point is (4,0)
Step-by-step explanation:
The x-intercept is the point on the x-axis where y=0.
Set y=0
0=4x-16
16=4x
x=4, y=0
So the notation for the point is (4,0).
Good luck!
Answer:
(4, 0)
Step-by-step explanation:
4x - 16 = 0
4x = 16
x = 4
kabura bought a piece of cloth 3 metres long. The material shrunk by 1% after washing. What was the new length of the cloth
Answer:
2.97m
Step-by-step explanation:
1% of 3m =1/100×3=0.03
0.03m of cloth was shrunk,
So, New lenght : 3-0.03=2.97m
A researcher examines typing speed before a typing class begins, halfway through the class, and after the class is over. 4. Identify the number of levels: 5. Identify the type of design: 6. Identify the dependent variable:
Answer:
Number of levels = 2
Type of design = Repeated measure
Dependent variable = Typing Speed
Step-by-step explanation:
The number of levels in an experiment simply refers to the number of experimental conditions in which participants are subjected to. In the scenario above, the number of levels is 2. Which are ; Halfway through the class and After the class is over.
The type of designed employed is REPEATED MEASURE, this is because the participants all took part in each experimental condition.
The dependent variable is TYPING SPEED, which is the variable which is measured with respect to the independent variable. Hence the observed value depends on period that is (halfway through the class or after the class is over).
Which phrase defines part of speech a model shows rays of sunlight moving straight from the sun perpendicular to the surface of the Earth. What are these rays called?(1 point) angled rays indirect rays direct rays parallel rays
A model shows rays of sunlight that moves straight from the sun perpendicular to the surface of the earth are called angled ray.
What are angled rays?In optics, a ray is an idealized geometrical model of light, obtained by choosing a curve that is perpendicular to the wavefronts of the actual light, and that points in the direction of energy flow.
An Angled ray can be described as a ray that is been formed when two rays are joined together at their starting point.
It should be noted that the ends of the rays extend infinitely, hence A model shows rays of sunlight that moves straight from the sun perpendicular to the surface of the earth are called angled ray.
Therefore, a model shows rays of sunlight that move straight from the sun perpendicular to the surface of the earth are called angled ray
Read more on the angled ray here:
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The phrase that defines the part of speech a model shows rays of sunlight moving straight from the sun perpendicular to the surface of the Earth is the direct rays. The Option C.
What are the rays that move straight from the sun perpendicular to the Earth's surface called?Direct rays are the sunlight beams that travel straight from the sun and strike the Earth's surface at a right angle. These rays provide concentrated energy and warmth, and their intensity can vary depending on factors like the Earth's tilt and position in its orbit.
Therefore, the phrase that defines the part of speech a model shows rays of sunlight moving straight from the sun perpendicular to the surface of the Earth is the direct rays.
Read more about sunlight rays
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linear equation 7x+25=9
Answer:
x = -16/7
Step-by-step explanation:
7x+25=9
Subtract 25 from each side
7x+25-25=9-25
7x = -16
Divide each side by 7
7x/7 = -16/7
x = -16/7
Answer:
[tex]7x + 25 = 9 \\ 7x = 9 - 25 \\ 7x = - 16 \\ x = \frac{ - 16}{7} \\ x = - 2.29[/tex]
Step-by-step explanation:
I hope it helped U
stay safe stay happy
Write the expression in exponential form.
log . N = x
Answer:
N = x2
Step-by-step explanation:
Follpwing the format
Please help with this just tell me A B C or D.
Answer:
The answer is D.
[tex]3x {}^{2} - 10x - 1 = 0[/tex]
Step-by-step explanation:
[tex]x = \frac{5 + 2 \sqrt{7} }{3} [/tex]
Divide each term of 5+2√7 by 3 to get 5/3 + 2/3√7.
[tex]x = \frac{5}{3} + \frac{2}{3} \sqrt{7} [/tex]
[tex]x = \frac{2 \sqrt{7 + 5} }{3} [/tex]
or
[tex]x = 3.43[/tex]
find the mean deviation about mean for rhe following data 3,9, 5, 3, 12, 10, 18, 4, 7, 19, 21
Class 11th
Answer:
10.1(approx)
Step-by-step explanation:
3+9+5+3+12+10+18+4+7+19+21/11
=111/11=10.09/10.1(approx )
SEE IMAGE FOR SOLUTION.
HOPE IT HELPS.
HAVE A GREAT DAY
43% of a sample of 100 visitors to a national park believes that additional funds should be used to preserve endangered species. What is the margin of sampling error for a 95% confidence interval?
A. 9.7%
B. 5.4%
C. 43%
D. 19.4%
Answer:
A. 9.7%
Step-by-step explanation:
margin of error:
z * [tex]\sqrt{\frac{p(1-p)}{N} }[/tex]
n is sample size
z is the z score (for a 95% confidence interval you would use 1.96)
p is the sample proportion
to solve for 'p', remember that if a decimal value is given, use that. but if it is a whole number, then divide that number by the sample size, and substitute it into the formula.
in this case we are given 43% so 0.43.
in the formula :
1.96 * [tex]\sqrt{\frac{0.43(1-0.43)}{100} }[/tex]
if you calculate this you get around 0.09703 this is 9.7%
Margin of error is 9.7% (A)
ρ = 43% which is equal to 0.430
[tex]1 - P = 1 - 0.430 = 0.570[/tex]
The number of sample n = 100
We have to calculate Z at 95% confidence interval
∝ = [tex]1 - 95%[/tex]%
∝ = [tex]1 - 0.95[/tex]
∝ = [tex]0.05[/tex]
∝/2 = 0.025
Z(∝/2) = Z(0.025) = 1.96
Standard error = [tex]\sqrt{ ((1-P)xP / n)}[/tex]
Standard error = [tex]\sqrt{(1-0.43)x0.43 / 100)[/tex]
Standard error = [tex]\sqrt{(0.002451)}[/tex]
Standard error = 0.04950758
Standard error = 0.0495
Margin of error = Z*SE. z = 1.96 and standard error = 0.0495
Margin of error = [tex]1.96x0.0496[/tex]
Margin of error = [tex]0.097216[/tex]
Margin of error = [tex]9.7216%[/tex]%
In conclusion, the margin of sampling error for a 95% confidence interval is 9.7%.
Learn more about margin of sampling error brainly.com/question/3311743
A person standing close to the edge on top of a 96-foot building throws a ball vertically upward. The quadratic function h = − 16 t 2 + 116 t + 96 models the ball's height above the ground, h , in feet, t seconds after it was thrown. a) What is the maximum height of the ball? b) How many seconds does it take until the ball hits the ground?
Answer: a) 306.25 feet b) 8 s
Step-by-step explanation:
Actually we have to find the function' s h(t) maximum meaning.
To do that we have to find the corresponding t - let call it t max
As known t max= (t1+t2)/2 where t1 and t2 are the roots of quadratic equation' s
Lets find the roots t1 and t2
-16*t^2+116*t+96=0 divide by 4 each side of the equation
-4*t^2 +29*t+24=0
D=29^2+24*4*4=1225 =35^2
t1=(-29-35)/(-8)=8
t2=(-29+35)/(-8)=-6/8=-3/4=-0.75
t max= (8+(-0.75))= 7,25/2=3.625 s
h max= -16*t max ^2+116*t +96= -16*3.625^2+116*3.625+96=306.25 feet
b) t2=8s is the time when the ball hits the ground.
Answer:
a) 306.25 ft
b) 8 seconds
Step-by-step explanation:
a) The time at the maximum height is found from the equation for the axis of symmetry:
ax^2 +bx +c has axis of symmetry at x=-b/(2a)
For the given equation, the t-value at the vertex is ...
t = -116/(2(-16)) = 3.625 . . . seconds
At that time, the height is ...
h = (-16(3.625) +116)(3.625) +96 = (58)(3.625) +96 = 306.25
The maximum height is 306.25 feet.
__
b) The ball will hit the ground when h=0. From the vertex values in the first part, we know we can rewrite the equation in vertex form as ...
h(t) = -16(t -3.625)^2 +306.25
This will be 0 when ...
0 = -16(t -3.625)^2 +306.25
(t -3.625)^2 = 306.25/16
t = 3.625 +√19.140625 = 3.625 +4.375 = 8
The ball will hit the ground after 8 seconds.
what must be added to 2/3 of 5.25 to make it 7.00
Answer:
3.5
Step-by-step explanation:
Well you have to find first 2/3 of 5.25. This means multiplication, which is 3.5. so to find how much to add to this to get 7, we have to subtract 3.5 from 7. 7-3.5=3.5. so we must add 3.5 to get 7. Hope this helps :D
Hector's school is holding a fitness challenge. Student are encouraged to exercise at least 2 1/2 hours per week. Hector exercises about the same number of hours each week. During a 4-week period, he exercises for 11 1/2 hours. Hector wants to compare his exercise rate with the fitness challenge rate. How many hours per week does Hector exercise?
Hector outperformed the challenge rate as he exercised 2.88 hours a week.
It is best to convert the mixed fraction to decimals for easier calculation.
The students are encouraged to exercise 2¹/₂ hours per week. In decimals this is:
= 2 + ¹/₂
= 2 + 0.5
= 2.5 hours per week
In the 4 week period, Hector exercised 11¹/₂ hours which is:
= 11 + ¹/₂
= 11 + 0.5
= 11.5 hours
The number of hours he exercised per week is:
= Number of hours in total / Number of weeks
= 11.5 / 4
= 2.88 hours per week
When compared to the fitness challenge rate, we can conclude that Hector outperformed the challenge rate
Find out more at https://brainly.com/question/17951676.
Answer:
The answer is 2 7/8
It cost Evan $17.70 to send 177 text messages. How many text messages did he send if he spent $19.10
Answer:
191
Step-by-step explanation:
17.70---- 177
19.10-----191
First just take 177/17.70= 10
all you have to do is multiply by 10
so
19.10= 191
The number of text messages he can send with $19.10 is 191 messages
solve using ratio
let
x = number of text messages he can send with $19.10
cost of messages : number of messages
$17.70 : 177 = $19.10 : x
17.70 / 177 = 19.10 / x
cross product
17.70 × x = 177 × 19.10
17.70x = 3380.7
divide both sides by 17.70
x = 3380.7 / 17.70
x = 191 messages.
Therefore, number of text messages he can send with $19.10 is 191 messages
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There is a circle with a center of 0,0 on a coordinate plane. There is one point on the circle's circumference in which the x:y ratio is 3:1. What is a possible coordinate?
Answer:
(3, 1)
Step-by-step explanation:
A circle with radius √10 and centre at (0, 0) will have a point (3, 1) on its circumference.
(b) Suppose you want to study the length of time devoted to commercial breaks for two different types of television programs. Identify the types of programs you want to study (e.g., sitcoms, sports events, movies, news, children's programs, etc.). How large should the sample be for a specified margin of error
Answer:
The correct option is b.
Step-by-step explanation:
The complete question is:
Suppose you want to study the length of time devoted to commercial breaks for two different types of television programs. Identify the types of programs you want to study (e.g., sitcoms, sports events, movies, news, children's programs, etc.). How large should the sample be for a specified margin of error.
(a) It depends only on the specified margin of error.
(b) It depends on not only the specified margin of error, but also on the confidence level.
(c) It depends only on the confidence level.
Solution:
The (1 - α) % confidence interval for population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}[/tex]
The margin of error for this interval is:
[tex]MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}[/tex]
Then the sample size formula is:
[tex]n=[\frac{z_{\alpha/2}\times \sigma}{MOE}]^{2}[/tex]
The sample size is dependent upon the confidence level (1 - α) %, the standard deviation and the desired margin of error.
Thus, the correct option is b.
The size of the sample 'n' depends on not only the specified margin of error, but also on the confidence level.
Given :
Suppose you want to study the length of time devoted to commercial breaks for two different types of television programs.
The following steps can be used in order to determine the size of the sample be for a specified margin of error:
Step 1 - The formula of the confidence interval is given below:
[tex]\rm CI =\bar{x}+z_{\alpha /2}\times \dfrac{\sigma }{\sqrt{n} }[/tex]
Step 2 - Now, for this interval, the formula of margin of error is given below:
[tex]\rm MOE = z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }[/tex]
Step 3 - Solve the above expression for sample size 'n'.
[tex]\rm n = \left(\dfrac{z_{\alpha /2}\times \sigma}{MOE}\right)^2[/tex]
From the above steps, it can be concluded that the correct option is B) It depends on not only the specified margin of error, but also on the confidence level.
For more information, refer to the link given below:
https://brainly.com/question/13990500
Find the value of x.
A. 4
B. 2
C. 3
D. 6
Answer:
b
Step-by-step explanation:
2x4=8 3x2=6 2x2=4
there all diviseble by 2
therfore ur answer is b
Answer:
the answer is 4
Step-by-step explanation:
Driver's Delight is considering building a new track. They have a circular space
with a diameter of 150 feet. Compute the circumference of the circular space.
Use 3.14 for it. Round your answer to the nearest hundredth, if necessary.
Answer:
The answer is 471 feetStep-by-step explanation:
Since the the track is circular
Circumference of a circle = πd
where
d is the diameter
π = 3.14
From the question
diameter = 150 feet
Circumference = 150π
= 150(3.14)
We have the final answer as
Circumference = 471 feetHope this helps you
Answer:
471.23 ft
Step-by-step explanation:
The circumference of this space is C = πd = (150 ft)π, or approximately
471.23 ft
A doctor orders Quinidine for an adult patient weighing 110 lb at a dosage of 25 mg/kg/day q6h. How many
milligrams should the patient receive each day?
Answer:
Total amount receive each day = 1250 mg per day
Number of dosage = 1250 / 4 = 312.5 mg per meal
Step-by-step explanation:
Given:
Weight of patient = 110 lb
Dosage = 25 mg/kg/day
Find:
Total amount receive each day
Computation:
Weight of patient = 110 lb
1 lb = 0.453592
Weight of patient = 110 (0.453592)
Weight of patient = 49.89
Weight of patient = 50 kg (Approx)
Total amount receive each day = 50 kg × 25 mg/kg/day
Total amount receive each day = 1250 mg per day
Number of dosage = 1250 / 4 = 312.5 mg per meal
✨Plz help me with my Homework!✨
This is “Finding unit rate”
Plz!
Staff at a fast food restaurant make up the cleaning solution in their spray bottles from a concentrate. In each 300mL bottle they pour 50mL of concentrate and fill the bottle the rest of the way with water. What is the ratio of concentrate to water used?
Answer:
1 : 5
Step-by-step explanation:
So 50mL is for thye concentrate then the rest is water which means the water is 300mL - 50mL = 250mL of water.
Ratio of concrentrate to water = 50mL: 250mL
To write a ratio you first write down the one stated first then the other one.
50mL : 250mL CAN BE SIMPLIFIED. This is done by dividing both parts by the highest common factor which is 50.
It then becomes 1 : 5.
HOPE THIS HELPED
Please help me answer this?
9514 1404 393
Answer:
h'(3) = 26
Step-by-step explanation:
h(x) = 3f(x) +5g(x) +3 . . . . . . . given
h'(x) = 3f'(x) +5g'(x) . . . . . . . . take the derivative
h'(3) = 3f'(3) +5g'(3) . . . . . . . use x=3
h'(3) = 3(2) +5(4) = 26
Evaluate the equation
9!/6!3!
In a random sample of 64 people, 48 are classified as 'successful.' Determine the sample proportion of 'successful' people.
Answer:
The sample proportion of 'successful' people is [tex]\frac{3}{4}[/tex].
Step-by-step explanation:
The sample consist of 64 people and 48 of them are 'successful'. Hence, the proportion of 'successful' people is:
[tex]p = \frac{n}{N}[/tex]
Where:
[tex]N[/tex] - People that forms the sample, dimensionless.
[tex]n[/tex] - People classified as 'successful', dimensionless.
Given that [tex]n = 48[/tex] and [tex]N = 64[/tex], the sample proportion of 'successful' people is:
[tex]p = \frac{48}{64}[/tex]
[tex]p = \frac{3}{4}[/tex]
The sample proportion of 'successful' people is [tex]\frac{3}{4}[/tex].