Answer:
-0.5
Step-by-step explanation:
z-score = (x- mean)/SD
(145-155)/20 = -10/20 = -0.5
Answer:
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{155-190}{20}
z=
20
155−190
Plug in values
z=\frac{-35}{20}
z=
20
−35
Subtract
z=-1.75
z=−1.75
Divide
\text{They scored 1.75 standard deviations below the mean.}
They scored 1.75 standard deviations below the mean.
A set of bicycle prices are normally distributed with a mean of 300 dollars and a standard deviation of 50 dollars.
A sports bicycle has a price of 380 dollars.
What proportion of bicycle prices are lower than the price of the sports bicycle?
You may round your answer to four decimal places.
Answer:
0.9452
Step-by-step explanation:
Answer for Khan academy
The proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
We can start by standardizing the sports bicycle price using the formula:
z = (x - μ) / σ
where x is the sports bicycle price, μ is the mean, and σ is the standard deviation.
Substituting the values, we get:
z = (380 - 300) / 50 = 1.6
Now, we can use a standard normal distribution table or calculator to find the proportion of values below 1.6.
From the z-table, we find that this proportion is approximately 0.9452.
Therefore, the proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.
Learn more about the z-score here:
brainly.com/question/13793746
#SPJ2
help plsssssssssssssssssssss again 4
What is x^2 -11x+19=-5 as standard form?
Answer:
Standard Form; x^2 - 11x + 24 = 0
Step-by-step explanation:
Simplify rewrite such that the quadratic equation has 0 isolated on the right or left side, most commonly right side;
x^2 - 11x + 19 = - 5 ⇒ Add 5 on either side of equation,
Standard Form; x^2 - 11x + 24 = 0
please Help it’s urgent
Answer:
Angle IAJ
Step-by-step explanation:
X idea again. They are opposite to each other in the immediate area around them.
Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simultaneously at 12 noon? Hint: 60 minutes = 1 hour
Answer:
They will sound together at 2pm
Step-by-step explanation:
Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.
To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40
The lowest common multiple between both is 120
This means that the two gongs will sound together at exactly 120 minutes
Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours
Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm
Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x
Answer:
y=5/3x
Step-by-step explanation:
The equation can be used to represent y = (5/3)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.
Since the water continues to flow at the same rate.
Using represent the number of gallons, y, that flow through the faucet in x
In 3 minutes, 5 gallons of water come out of a faucet.
So the equation can be used to represent y = (5/3)x
Learn more about the equation here:
brainly.com/question/10413253
#SPJ6
Which of the following functions is not linear?
Answer:
D. y = 8x² + 8x + 4Step-by-step explanation:
The equation of a linear function is in form:
[tex]y=mx+b[/tex]
We have:
[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]
[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]
[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]
[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]
what is w in the equation -20=5w
Answer:
-4
Step-by-step explanation:
Since this has an equals sign and in both sides it can be divisible. So you take 5 and divide it on both sides to get -4
Tien has six coins in her pocket. She has at
least one quarter, one dime, one nickel, and
one penny. Use an organized list to show
how many different ways Tien might have
more than 60¢.
Answer:
10 dimes
Step-by-step explanation: 10 cents x 6 = 60 cents
Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect
at point V. Find the values of x and y. If necessary, round to the nearest tenth.
AN
x = 11.6
y = 11.6
= 11.6
y= 23.2
x = 18.3
y = 36.6
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
Applying this theorem in the diagram, we have:
[tex]TQ$ X TP=TR^2[/tex]
[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]
Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall earlier we got: x=11.6
2y=4 X 11.6
2y=46.4
Divide both sides by 2
y=46.4/2=23.2
Therefore: x=11.6, y=23.2
What is the value of x
Answer:
x=90? is there any other info?
Step-by-step explanation:
Answer:
90 degrees
Step-by-step explanation:
The angle is a right angle
A population of rabbits doubles every 60 days according to the formula P=10(2)^t/60, where P is the population of rabbis on day t. What is the value of t when the population is 320
Answer:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Step-by-step explanation:
For this case we have the following function:
[tex] P(t) = 10 (2)^{t/60}[/tex]
Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
A truck driver makes a trip that covers 2,380 km in 28 hours. What is the driver’s average speed?
Answer:
85km/h which is 52.82mph
Step-by-step explanation:
PLZ HELP WILL MARK BRAINLIEST!!!
The graph of a proportional relationship passes through (3, 24) and (1, y).
Find y
Answer:
8
Step-by-step explanation:
If it is proportional 3/3=1
And 24/3=8
Answer: go up the origin maybe that would help
Step-by-step explanation:
Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5% per year. What interest does he earn at the end of 1 year
Answer:
i think its 1260
Answer:
1,260 "One thousand two hundred and sixty"hope this helps yaa!!3(4x+5)=33 What’s the value of x
Answer:
the answer would be 20
Answer:
x=3/2 or 1.5
Step-by-step explanation:
To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.
3(4x+5)=33
First, divide both sides by 3, since 3 is being multiplied by 4x+5
3(4x+5)/3=33/3
4x+5=11
Next, subtract 5 from both sides, since it is being added to 4x
4x+5-5=11-5
4x=6
Divide both sides by 4, since 4 is being multiplied by x
4x/4=6/4
x=6/4
x=3/2 or 1.5
help meeeeeeeeeeeeeeeeee pplllzzzzzzzzz asap
Answer: 16
Step-by-step explanation:
8+6+2
Answer:
2
Step-by-step explanation:
Under 13 min - that means at least at 07:13 am, and this is the first column, which shows Two People.
Sarah and Gabriela are at a soccer camp. The length of a soccer practice is 2/3 hour. The coaches have set aside 8 hours for soccer practice. How many soccer practices can the coaches have?
Answer:
12 soccer practices
Step-by-step explanation:
1 Soccer practice = 2 / 3 hour
We have 8 hours
8 / 2/3
multiply the top and bottom by 3 to get rid of the 3
8 * 3 = 24
2/3 * 3 = 2
24 / 2 = 12
Answer:
One way to answer your problem is by using proportions, and the following method can be done:
Step-by-step explanation:
[tex]\frac{1}{\frac{2}{3}}=\frac{x}{8}[/tex]
Then that reduces to the following:
[tex]\frac{8}{\frac{2}{3}}=x=12[/tex]
So the answer would be 12 practices.
solve the equation 18y - 17 = 7 for y
Answer:
y = 1.3
Step-by-step explanation:
18y - 17 = 7
18y = 7 + 17
18y = 24
y = 24/18
y = 1.3
hope it helps!
Answer:
y=4/3
Step-by-step explanation:
To solve for y, we need to isolate it.
18y-17=7
Let's start by adding 17 to both sides.
18y=24
Next, we can divide both sides by 18.
y=24/18
Simplify.
y=4/3
WORTH 50 POINTS AND BRAINLIEST NO FAKE ANSWERS NO PLAGIARISM OR WILL REPORT ALSO WRITE 4 SENTENCES. A nickel, a dime, and a quarter are touching as shown. Tangents are drawn from point A to both sides of each coin. In a short paragraph, explain what you can conclude about the four tangent segments?
Answer and Step-by-step explanation:
These four tangents are all equal in length. By definition, you can draw two tangent lines from a point outside a circle that will touch the circle. These two tangent lines are always congruent. Looking at the two leftmost lines, they are tangents of the nickel, so we can say that they're congruent. Looking at the middle two lines, we see that they must be equal, as well, since they're tangent lines to the dime, but we notice that the second leftmost line is shared by the nickel and the dime. So, these three must all be congruent. By similar reasoning, the rightmost line is congruent to the other three. Thus, all four tangent lines have the same length.
Answer:
Tangents drawn from the same point are equal in length.
Since the middle coin share tangents with the coins on either sides, all tangents are equal in length.
A 21-foot flagpole casts a shadow. The distance along the ground from the base of the pole to the top of the shadow is 11 feet. What is the distance from the top of the pole to the tip of the shadow?
Answer:
Step-by-step explanation:
.
The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?
A. 147 pi = one-third (7) (h) squared
B. 147 pi = one-third pi (7 squared) (h)
C. 147 pi = one-third pi h
D. 147 pi = one-third pi (7) (h)
Answer:
B
Step-by-step explanation:
Volume = ⅓ pi × r² × h
147pi = ⅓ × pi × 7² × h
Step-by-step explanation:
Step 1: Find the expression that can be used to find h
[tex]V = \pi * r^2 * \frac{h}{3}[/tex]
[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]
[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]
147 pi = one-third pi (7 squared) (h)
Answer: Option B
need help fast!!!!
The graph shows the relationship between the weight of a
box and the number of books added to the box.
What function represents the weight of a box based on x,
the number of books?
Box of Books
10
9
f(x) = 0.5x + 1.5
f(x) = 0.75x + 2
f(x) = 1.5x + 0.5
f(x) = 2x + 0.75
O
Weight of box (lbs)
ch
4
w
1
9 10 x
2 3 4 5 6 7 8
Number of books
Answer:
C or option three, f(x) = 1.5x + 0.5
Step-by-step explanation:
HAVE A GREAT DAY AND STAY SAFE!
The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.
What is the Equation of straight line?The general equation of a straight line is y = mx + c
What is Slope of the line?A slope of a line is the change in y coordinate with respect to the change in x coordinate
Here,
Consider two points in the lines
(3,5) and (5,8)
Slope of the line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
= [tex]\frac{8-5}{5-3}[/tex]
=1.5
From the graph y intercept is 0.5
Hence, The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.
Learn more about Equation of straight line and Slope of the line here
https://brainly.com/question/11974283
#SPJ2
What is the values of x?
Answer:Answer is 4
15x-5+125=180°
15x=60
x=4
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..
Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and a 10% acid solution. Myra will need to mix how many gallons of the 20% solution and how many gallons of the 10% solution to have what she needs.
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4
Answer:
-2Step-by-step explanation:
hello :
f(x)=-2x and g(x)=(1/2)^x
f(-2)=-2(-2) =4
g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4
Write the equation of the circle graphed below.
Answer:
(x + 5)^2 + (y + 5)^2 = 16
Step-by-step explanation:
pls helllllllllllllp
Answer:
40
Step-by-step explanation:
24 divided by = 8
8 times 5 = 40
can i have brainliest please
Answer:
40
Step-by-step explanation:
there is a 5 to 3 ratio for ice cream cones to brownies
ice cream: brownies
5:3
x:24
three times eight is 24
five times eight is 40
In how many ways can you arrange nine CDs one after another on a shelf?
Answer:
The number of arrangements of the 9 CDs along a shelf is 362,880.
Step-by-step explanation:
MARK AS BRAINLIEST PLZ :)
Answer:
the answer to your question is 362880
Which of the following options have the same value as %25, percent of 64? Choose 2 answers:
A 25⋅64
B 25/100⋅64
C 0.25⋅64
D 64÷ 25/100
E 25÷ 64/100
Answer:
B and C
Step-by-step explanation:
25% of 64 is 16. So find the two answers that are equivalent to 16.
A: 25*64 = 1600 [tex]\neq[/tex] 16
B: [tex]\frac{25}{100}[/tex]*64 = 16
C: 0.25 * 64 = 16
D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16
E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16
Answer:
its b and c. had the same problem.
