Step-by-step explanation:
ans:7*(-(3-5))..........
A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters. The population mean is 62.95 inches with a standard deviation of 5.65 inches.
What is the standard error of the sample mean? Round your answer to the nearest hundredth.
The standard error of the sample mean is approximately ______.
Answer:
The standard error of the sample mean (S.E) = 0.7835
Step-by-step explanation:
Explanation:-
Given mean of the Population = 62.95 inches
Given standard deviation of the Population = 5.65 inches
The standard error of the sample mean is determined by
[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]
[tex]S.E = \frac{5.65}{\sqrt{52} } = 0.7835[/tex]
The standard error of the sample mean is approximately (S.E) = 0.7835.
What is the standard error?It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.
Supopse that we're given that:
Population standard deviation =[tex]\sigma[/tex]
Size of sample we're working on = n
Then, the standard error can be calculated as:
[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]
where SE denotes the standard error.
A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters.
The population means is 62.95 inches with a standard deviation of 5.65 inches.
The mean of the Population = 62.95 inches
The standard deviation of the Population = 5.65 inches
The standard error of the sample mean can be determined by
[tex]= \dfrac{Standard deviation }{\sqrt{sample size}}\\\\\\= \dfrac{5.65 }{\sqrt{52}}\\= 0.7835140[/tex]
Learn more about standard error here:
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Write an equation of the line with a slope of —3 and y-intercept of 0.
simplifly the expression 2(x - 5)
Answer:
2x - 10
Step-by-step explanation:
2(x - 5)
distribute
2*x - 2*5
2x - 2*5
2x - 10
If ABD ~ HGE and AC and HF are angle
bisectors, find x. And If LJK ~ PQN, find x.
Answer:
Q1. 9.6, Q2. 33Step-by-step explanation:
Corresponding parts have same ratio:
Q1
x/24 = 14/35x = 24*2/5x = 9.6Q2
x/42.9 = 30/39x/42.9 = 10/13x = 42.9*10/13x = 33Answer:
Step-by-step explanation:
Subtract 6q from 10z
Answer:
10z-6q..............
Without a calculator, solve 2 1/3 + 6 3/5 = ?
(answer in fraction form)
Answer:8 14/15
Step-by-step explanation:
(2+6)+(1/3+3/5)
8+ (1/3+3/5) Find the common denominator
8+(5/15+9/15)
8 14/15
Maria orders a salad and a drink for lunch at a resturant. A salad costs $4.75 and a drink costs $1.65. How much tip should maria leave the server if she wants to tip her 18%?
A. $5.24
B. $7.55
C. $6.40
D. $1.15
15. A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing
nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the
birdhouse and the pole?
.a. 12
c. 18.75
b. 15
d. 13.25
Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and birdhouse
4 foot tall person makes 5 feet long shadow
5x3=15
4x3=12 so the birdhouse and pole are 12 feet
The birdhouse and the pole are 18.75 ft tall.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a person standing nearby who casts a shadow 5 feet long. The person is 4 feet tall.
Assume that for the birdhouse and the pole are [x] ft tall.
Now, for a 4 feet tall person, the shadow is 5 feet long.
Then, for one feet long person, the shadow would be (5/4) feet long.
Then, for 15 feet long -
x/15 = 5/4
x = (15 x 5)/4
x = 75/4
x = 18.75 feet tall
Therefore, the birdhouse and the pole are 18.75 ft tall.
To solve more questions on Equation modelling, visit the link below-
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Pls Help..... 50 points and brainliest if you answer correctly!
Answer:
5
Step-by-step explanation:
The left side is equal to:
x/(2.52-2.02) = x/0.5 = 2x
Let's simplify the numerator of the right side.
9*(31/20 - 1.05) = 9*(0.5) = 9/2
The denominator is 43/40 - 35/8 /7 = 43/40 - 5/8 = 43/40 - 25/40 = 18/40 = 9/20.
So 2x = (9/2)/(9/20) = 10
x = 5
Answer:
x=-2835/62 or (in decimal form) 45.726
Step-by-step explanation:
Hope this helps!
Brain-List?
Kendyl started reading a new book over the weekend. She was able to read 8 pages in the 20 minutes before dinner.at this rate how long will it take for her to read the entire book if it has 300 pages?
Answer:
750 minutes
Step-by-step explanation:
8 pages in 20 minutes
300 / 8 = 37.5
37.5 * 20 = 750
What is the formula for slope?
Will give brainliest for first correct.
Answer:
To solve the problems in this lesson, students use the slope formula, which states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".
Hope helps
PLEASE HELP ALGEBRA 2
Question is on the photo below
Answer:
The value of f(x) - g(x) is:
f(x) - g(x) = 2x² + 6x - 4
Step-by-step explanation:
Given
f(x) = 3x² + x - 3
g(x) = x² - 5x + 1
To determine
f(x) - g(x)
Using the formula
f(x) - g(x) = 3x² + x - 3 - ( x² - 5x + 1)
= 3x² + x - 3 - x² + 5x - 1
= 2x² + 6x - 4
Therefore, the value of f(x) - g(x) is:
f(x) - g(x) = 2x² + 6x - 4
The ratio of boys to students is 3 to 7. If there are 20 girls in the school, then how many boys are in the school?
A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.)
How many ounces of almonds would be in a one-pound bag of this trail mix? Explain or show your reasoning.
Answer:
there are 16 ounces in a pound.
16/7=2.28571428
2 full ounces with a bit left over.
2.29
The price of a certain new car increases by the same amount each year the first year it was $17,200 and then the 12th year it was $30,400 in which year with a car cost $36,400?
Answer:
k47n4
Step-by-step explanation:
Answer: would it be the 12th year and a half
Step-by-step explanation: because since it increases then half of the year it would be $30,400
Which expression is equivalent to the expression shown?
2
4 x4
48
166
46
PLZ ANSWER I WILL GIVE BRAINLIST
Answer:
5^8 .. you have to do it like this 5^(2×4)
Please help me find the equation fully simplified in slope-intercept form!!!!
Answer:
y = -3x +7
Step-by-step explanation:
Slope intercept form is y = mx + b, and needs two things, the slope (m) and the y-intercept (b) of a line. The slope is the rise/run and the y-intercept is where the line crosses the y-axis.
From the graph, it is easy to see the y-intercept (b). The line crosses the y-axis at 7.
Next, you need to fine the slope. All you have to do is pick a point on the line and plug it into the equation y = mx + b, since you already have the y-intercept.
Let's pick an easy point like (2, 1). x = 2 and y = 1
y = mx + b
1 = m(2) + 7
To isolate m, you can first subtract 7 on both sides.
Simplifying, you would get:
-6 = m(2)
To solve for m, you just need to divide both sides by 2.
So, m = -3.
Now, you have everything you need! m = -3 and b = 7.
The equation is y = -3x +7.
is y=4x+2 proportional?
Answer: yes
Step-by-step explanation:
PLZ HELP ME I REALLY NEED IT?!?
Answer:
he bought 17 book.
write one way to read the expression 1/4×(48+8)
Answer:
14
Step-by-step explanation:
= 1/4(56)
= 14
step by step
Urgent please help! The high temperature in Garland dropped 3 degrees each day for five days straight. Which expression could NOT be used to find the total temperature change over the five days?
Answer:
First, see what is the temperature is on the first day before it dropped now on the fifth day see how much it drop from the first day to the last day hope this helped.
Step-by-step explanation:
Answer:
bababaqiooooooo
Step-by-step explanation:
i need help on this too
1.
Ms. Abbott's 6th grade class has 18 students with brown eyes and 12 students with blue eyes. Ms. Downey's class has 15 students with brown eyes and 10 students with blue eyes. Which classroom has a higher ratio of brown eyes?
a.
Ms. Abbott's class
c.
They are the same
b.
Mrs. Downey's class
d.
Mrs. Smith's class
Answer:
They are both the same
Step-by-step explanation:
(ratio of brown eyes to blue eyes)
Ms. Abbott's class- 18:12
Ms. Downey's class- 15:10
if you simplify both of the ratio's you'll get 3:2 for both of them. Therefore both classes have the same ratio of brown eyes to blue eyes.
Write the fraction in lowest terms.
2/19
Answer:
It's already in simplest form
Step-by-step explanation:
You can't simplify 2/19 anymore than 2/19
some one plzz help this is my third time asking this question
Answer:
everyone clickin cuz its a lot of points
Step-by-step explanation:
Answer:
I don't really know it but if you use socratic I will find the answer for you
Clarissa is saving for a coat that costs $55.99. She earns $22.75 babysitting and $10.50 dog walking. How much more money does Clarissa need?
please tell me the answer
[ ]
Answer:
22.74 i think
Step-by-step explanation: Add 22.75 to 10.50 then subtract that number to 55.99
Answer:
22.74
Step-by-step explanation:
2 cents using dollar symbols
answer:
$0.02
-- let me know if you have any questions regarding this.
Hello please help me solve this :) will give braisnlt
What’s the order ???
For immigration
C A B E D
i think this is the answer
how do you write 4.41*
[tex] {10}^{1} [/tex]
a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from the southwest. What is the plane's resultant direction?
Answer:
Velocity of plane is 100 mi/hr along northeast direction
Step-by-step explanation:
From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction
since the velocity of wind and plane is exactly opposite
⇒ relative velocity of plane with respect to wind is given by
[tex]v_r_e_l = v_p - v_w[/tex] where [tex]v_p[/tex] is the velocity of plane = 150mi/hr and [tex]v_w[/tex] = velocity of wind = 50 mi/hr
Therefore, [tex]v_r_e_l = v_p - v_w[/tex] = [tex]v_r_e_l = 150 - 50 = 100 mi/hr[/tex] alond northwest direction
Therefore, velocity of plane is 100 mi/hr along northeast direction
By working with the velocity vectors, we will find that the direction of motion of the plane is 28.7 south of east.
Working with the velocity vectors:
First, we need to define our coordinate axis, I will define the x-axis as the east and the y-axis as the north.
We know that the plane travels at 150 mi/hr at 100° east of north, notice that if we measure from the positive x-axis, this is equivalent to an angle of -10°.
Then the x-component of the velocity is: 150mi/hr*cos(-10°) = 147.7 mi/hrThe y-component of the velocity is: 150mi/hr*sin(-10°) = -26 mi/hr.
So the vector is:
V = < 147.7 mi/hr, -26 mi/hr >
Now we know that the wind blowing at 50mi/hr at southwest, exactly southwest would be at an angle of 225°, so the components of the vector are:
x-component: 50mi/hr*cos(225°) = -35.4 mi/hry-component: 50mi/hr*sin(225°) = -35.4 mi/hr.So the vector is:
W = < -35.4 mi/hr, -35.4 mi/hr>
The sum of the vectors gives the total velocity of the plane in the wind, we will get:
V + W = < 147.7 mi/hr -35.4 mi/hr , -26 mi/hr -35.4 mi/hr >
V + W = <112.3 mi/hr, -61.4 mi/hr>
The direction of a vector <x, y> is given by:
θ = Atan(y/x)
Then in this case the direction of the plane is:
θ = Atan(-61.4 mi/hr/112.3 mi/hr) = -28.7°
So the direction of the plane is 28.7° south of east.
If you want to learn more about vectors, you can read:
https://brainly.com/question/17108011
What is the compound interest on investing $600 for 3 years at 7% per annum?
Answer:
About $735.03
Step-by-step explanation:
The compound interest formula is A=P(1+r/n)^nt
P is the original amount (principal)
r is the rate
n is the number of times compounded (1 for this one since it is annual)
and t is the time compounded