If the runner travels 8 miles in 2 hours then the speed of the runner is 4 miles per hour.
The runner traveled 8 miles in 2 hours.
To find the runner's speed, we can use the formula:
Speed (in miles per hour) = Distance / Time
In this case, the distance is 8 miles and the time is 2 hours:
Speed = 8 miles / 2 hours
= 4 miles per hour
So, the runner's speed is 4 miles per hour which means that the runner covers a distance of 4 miles for every hour they run.
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100 POINTS!!!
The y-intercept of a function can be found by:
A. Making x = 0
B. Making y + 0
C. Making x = 2
D. Making y = 2
EXPLAIN
Answer:
making x=0
Step-by-step explanation:
it gives you the points where the point intersects the y-axis
Answer:
A: Making x = 0
Step-by-step explanation:
The y-intercept of a function is where x is zero (i.e. [tex]f(0)[/tex])
Question: Researchers in Pakistan wanted to better understand the effects of anthracycline (a chemotherapeutic drug) on the hearts of young children. More information on the details of their study can be found here: https://datadryad.org/stash/dataset/doi:10.5061/dryad.cg849
((The data set can be downloaded. After going to the website, the download is to the right)).
One variable the researchers calculated in these children was the E/A ratio. The E/A ratio is a measurement that reflects the health of the heart. The (E) velocity is greater than the late (A) velocity in a healthy heart. Particularly low or particularly high elevated E/A ratios indicate signs of heart issues.
The mean E/A ratio of the 110 patients in the study was 1.35. The standard deviation was 0.33.
1. One patient had an E/A ratio of 0.73. What is the z-score for this patient?
2. Assuming the population of E/A ratio scores is approximately normally distributed, what's the probability that a randomly selected person has a smaller E/A ratio than the patient in question 1?
3. Another patient had an E/A ratio of 1.96. What's the z-score for this patient? What's the probability that a randomly selected patient has a higher E/A ratio?
4. Which patient has a more extraordinary E/A ratio? Why? Be sure to refer to the z-scores to support your answer.
Using the normal distribution, it is found that:
1. His z-score was of Z = -1.88.
2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.
3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.
4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 1.35[/tex].The standard deviation is of [tex]\sigma = 0.33[/tex].Item 1:
Considering his ratio, we have that X = 0.73, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.73 - 1.35}{0.33}[/tex]
[tex]Z = -1.88[/tex]
His z-score was of Z = -1.88.
Item 2:
The probability is the p-value of Z = -1.88, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.
Item 3:
Score of X = 1.96, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.96 - 1.35}{0.33}[/tex]
[tex]Z = 1.85[/tex]
The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.
Item 4:
Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.
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What type of number -75 A)rational number B)irrational C) integer D) whole number E)natural number. Reply quickly
Answer:
Rational number
Step-by-step explanation:
Hope this helps
Answer:
Your answer is: A) Rational
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Step-by-step explanation:
Hope this helped : )
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
What is the slope in this equation
1+1+1+1+1+(18+18463)+496464+94643448=
Answer:
It guess it should be 95158398
Ariel pays $10.80 when he buys 3 notebooks and 4 pencils.
Marie pays $14.50 when she buys 5 notebooks and 2 pencils.
Write down simultaneous equations and use them to find the cost of a notebook and the
cost of a pencil.
Show your workings.
Troy and Ronnie wrote down how much time they spent at play rehearsal each week for 6 weeks.
Troy spent 6, 4, 8, 5, 10, and 9 hours at play rehearsal.
Ronnie spent 4, 6, 3, 7, 7, and 3 hours at play rehearsal.
How does the range of hours Troy spent compare with the range of hours Ronnie spent at play rehearsal? Answer the questions to find out
Answer: Im trying to find out the same thing oh no!
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. What is the range of hours Troy spent at play rehearsal? Explain how to find the range of a data set. (3 points)
To find the range, subtract the smallest value from the largestvalue. For Troy’s time, the range = 10 - 4 = 6 hours.
2. What is the range of hours Ronnie spent at play rehearsal? (3 points)
Ronnie’s range = 7 - 3 = 4 hours
3. Who had a greater range of hours spent at rehearsal? (4 points)Troy had a bigger range.
I hope this helps :)
ASAP ! GOD BLESS U!!!
Answer:
24 square metres
Step-by-step explanation:
Its basic math. You do 4 x 6 and you get the area.
Solve for x using cross multiplication.
2x+2/11 = x-4/6
x=
Please show your work for brainiest
Answer:
x=56/66
Step-by-step explanation:
This is question 4 of my first post can someone help me I’d really appreciate it
Answer:
wars the graph
Step-by-step explanation:
The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has
only $42 to spend. Which inequality represents this scenario if X represents the
number of games Cameron can play?
Answer:
4.5 Games
Step-by-step explanation:
42 Minus 6 (shoes)= 36
36 divided by 8 (each game) would equals 4.5
An object moves in simple harmonic motion with period 7 minutes and amplitude 17cm . At time minutes, its displacement from rest is 0m , and initially it moves in a positive direction.
Give the equation modeling the displacement as a function of time .
Answer:
Midline will be at -13 which is your vertical shift(d)
Amplitude (a) -s 13 si will move up to 0, back to midline(-13), down to -26, and then back to midline to complete the cycle. This would conform to a sine graph
There is no phase shift
The period is 6 minutes so b= 2pi/6 or pi/3
Equation therefor is y= 13sin[(pi/3)x] -13
Hope it helps!!!Brainliest pls!!!State if the two triangles are congruent. If they are, state how you know.
Why?
Because we have two right triangles with the same shared leg (the L of HL) and the hypotenuses are the same length (the H of HL). The tickmarks tell us those segments are the same.
HL only applies to right triangles because the hypotenuse is only found in right triangles. If we didn't have those 90 degree square markers, then this would be an SSA case, but that's not a valid congruence theorem.
can someone please help me
if m<4=105 what is m<5
Answer:
105. Alternate Interior Angles are Congruent. <3
Step-by-step explanation:
Alternate Interior Angles are Congruent <3 .In geometric terms, two sides of a polygon that share an endpoint make up an angle.
What is meant by Interior angles?In geometric terms, two sides of a polygon that share an endpoint make up an angle. This angle is known as an internal angle for a simple polygon if a point within it is located inside the polygon, regardless of whether the polygon is convex or not. the inner of the two angles created where two polygonal sides meet, according to Wikipedia. any one of the four angles created when a third line cuts a pair of parallel lines.
inside angles The angles created within or inside of a shape are called interior angles. The interior angles in this case are ABC, BCA, and CAB.
Given ,
m<4=105
m<5=105
Therefore alternate interior angles is congruent to<3
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The 4th and the last terms of an A.P. are 11 and 89 respectively. If there are 30 terms in the A.P., find the A.P. and its 23rd term.
[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Number \: of \:terms \: in \: A.P,n = 30[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Fourth \: term ,a_4 = 11 [/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf last\:term, a_{30} = 89 [/tex]
[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf The \: A.P. [/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf 23rd\: term, a_{23} [/tex]
[tex]\\[/tex]
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
The nth term of A.P is determined by the formula-
[tex]\green{ \underline { \boxed{ \sf{a_n = a+(n-1)d}}}}[/tex]
where
[tex]\sf a = first \:term[/tex][tex]\sf a_n = nth \: term[/tex][tex]\sf n = number \:of \:terms [/tex][tex]\sf d = common \: difference [/tex]Since ,
[tex]\sf a_4 = 11 [/tex]
[tex]\longrightarrow[/tex] [tex]\sf a+(4-1) d= 11 [/tex]
[tex]\longrightarrow[/tex] [tex]\sf a+3d= 11\_\_\_(1) [/tex]
[tex]\sf a_{30}= 89 [/tex]
[tex]\longrightarrow[/tex] [tex]\sf a+(30-1)d=89[/tex]
[tex]\longrightarrow[/tex][tex]\sf a+29d= 89\_\_\_(2)[/tex]
Subtracting equation (1) from equation(2)
[tex]\begin{gathered}\\\implies\quad \sf a+29d-(a+3d) = 89-11 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a+29d-a-3d = 78 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a-a+29d-3d = 78 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 26d = 78 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf d = \frac{78}{26} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf d = 3 \\\end{gathered} [/tex]
Putting the value of d in equation (1) -
[tex]\begin{gathered}\\\implies\quad \sf a+3(3) = 11 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a = 11-9 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a = 2 \\\end{gathered} [/tex]
First term of A.P, a = 2Second term of A.P.,[tex]\sf a_2= 2+(2-1)\times 3[/tex][tex]\quad\quad\quad\sf =2+3[/tex]
[tex]\quad\quad\quad\sf =5 [/tex]
Third term of A.P.,[tex]\sf a_3= 2+(3-1)\times 3[/tex][tex]\quad\quad\quad\sf =2+6[/tex]
[tex]\quad\quad\quad\sf =8 [/tex]
[tex]\longrightarrow[/tex]Thus , The A.P is 2,5,8,. . . . . .
Now,
[tex]\begin{gathered}\\\implies\quad \sf a_n = a+(n-1)d \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23 }= 2+(23-1)\times 3 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+22 \times 3 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+66 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 68 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Thus , 23rd term is 68.
EXPAND AND PLEASE EXPLAIN
FOR BRAINLIEST
(x-1)(x+1)
Answer:
x^2 -1
Step-by-step explanation:
-1×x + -1×1 + x×1 + x×x
= x^2 -x +x -1
= x^2 -1
[tex] {x}^{2} - 1[/tex]
Find the length of the missing side. If necessary, round to the nearest tenth.
29
841
58
21.5
Answer:
above is the solution to the question
The balanced equation below shows the products that are formed when pentane (c5h12) is combusted. c5h12 8o2 right arrow. 5co2 6h2o what is the mole ratio of oxygen to pentane? 1:6 6:8 8:1 5:8
The mole ratio of the oxygen to pentane will be 8:1
What is the mole ratio?
A mole ratio is a ratio between the amounts in moles of any two compounds involved in a chemical reaction
A chemical equation is said to be a balanced chemical equation if it has an equal number of all the constituent atoms on both sides of the reaction arrow.
The balanced chemical reaction for the combustion of pentane is as follows:
[tex]\rm C_5H_{12}+8O_2--- > 5CO_2+6H_2O[/tex]
From the above-balanced chemical equation, it is clear that 1 mol of [tex]C_5H_{12}[/tex] reacts with 8 moles [tex]O_2[/tex] to form 5 moles of [tex]CO_2[/tex]
Thus the mole ratio of the oxygen to pentane will be 8:1
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Answer:
8:1
Step-by-step explanation:
edge
What is 0.118 in expanded form
Answer:
zero and one-hundred eighteen-thousandths
Please help me solve this ! Which figure can be formed from the net?
Answer:
A
Step-by-step explanation:
It is th eonly one with a asquare base and it maches the net.
Have an amazing day!
PLEASE RATE!
Option A is correct!
How??First of all, it's base is square just like the net. The net in option D also has a square base.Now, Confusion is there that which one is correct?To understand that, look at the dimensions. The dimensions of Figure in Option A matches the net completely.. Hence, it is the correct option!!~what is 5+5
what is 6x5
Answer:
5+5 = 10
6x5=30
I hope it works for you
Answer:
10 , 30
Step-by-step explanation:
5 + 5 = 10
6 * 5 = 30
This clock shows the current time. Three hours ago, it was ___________. HURRY NOWW
A) 12:48
B) 11:48
C) 10:48
D) 9:48
Answer:
d
Step-by-step explanation:
Answer:
maybe a or b but to me it's a
a triangle has an area of 68 ft and a height of 16 ft what is the length of the base
Answer:
8.5
Step-by-step explanation:
First we need to know the formula is BxH/2 for triangles. First we would do 68x2=136. Then we would do 136/16 which would give you 8.5! Hope this helps!
A triangle having area of 68 ft and a height of 16 ft, the length of the base for a triangle is, 8.5 ft
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Given that,
a triangle has an area of 68 ft
a height of 16 ft
the length of the base = ?
Area of triangle = 1/2×base×height
68 = 1/2×base×16
base = 8.5 ft
Hence, the length of the base is 8.5 ft
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If f(x) = 7 4x and g (x) = startfraction 1 over 2 x endfraction, what is the value of (startfraction f over g endfraction) (5)? eleven-halves startfraction 27 over 10 endfraction 160 270
The value of the function [tex]\frac{f}{g} (5)[/tex] is 270.
Given functions are:
[tex]f(x) = 7+4x\\\\g(x) = \frac{1}{2x}[/tex]
What is the [tex]\frac{f}{g} (x)[/tex] ?[tex]\frac{f}{g} (x)[/tex] is the ratio of functions f(x) and g(x) i.e. [tex]\frac{f(x)}{g(x)}[/tex].
So, [tex]\frac{f}{g} (x) =\frac{7+4x}{\frac{1}{2x} }[/tex]
[tex]\frac{f}{g} (x) =2x(7+4x)[/tex]
[tex]\frac{f}{g} (5) =2*5(7+4*5)[/tex]
[tex]\frac{f}{g} (5) =270[/tex]
Therefore, the value of the function [tex]\frac{f}{g} (5)[/tex] is 270.
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Answer:
270
Step-by-step explanation:
edge2022
In one month 382 adults and 65 children stayed in a hotel. How many people stayed at the hotel altogether?
Answer:
447 people
Step-by-step explanation:
382 plus 65 is 447.
A dinner plate is in the shape of an isosceles right triangle, the leg is 13 inches. What is the perimeter of the plate, round your answer to the nearest tenth?
Answer: 18.4 inches
Step-by-step explanation:
What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Answer:
The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3). m = = = The slope is . What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Slope of a line is expressed according to the formula;
Slope m = Δy/Δx
Slope = y2-y1/x2-x1
Given the coordinates (–7, 4) and (2, –3), from the coordinates;
x1 = -7, y1 = 4, x2 = 3, y2 = -3
Substitute into the formula;
Slope = -3-4/3-(-7)
Slope = -7/3+7
Slope = -7/10
Based on Anya workings, it can be concluded that Anya used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values
By what the question asks, I assume that this refers to getting the slope in a linear equation.
The correct option is:
She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
A general linear equation is given by:
y = a*x + b
where a is the slope and b is the y-intercept.
We know that for a line that passes through points (x₁, y₁) and (x₂, y₂) then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Notice that the formula is the change in y-values with respect to the x-values,
So we can conclude that the correct option is:
"She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values."
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What is the value of 8 in 0.058