Answer:
He needs a score of 28.7315 to qualify for the scholarship
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean score on the ACT is 21 with a standard deviation of 4.7
This means that [tex]\mu = 21, \sigma = 4.7[/tex]
What score does he need in order to qualify for the scholarship?
The top 5%, so the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 21}{4.7}[/tex]
[tex]X - 21 = 4.7*1.645[/tex]
[tex]X = 28.7315[/tex]
He needs a score of 28.7315 to qualify for the scholarship
Anne is painting her house light blue. To make the color she wants, she must add 3 cans of white paint to every 2 cans of blue paint. How many cans of white paint will she need to mix with 6 cans of blue?
Answer:
9 cans of white paint
Step-by-step explanation:
To solve this you can set up a ratio.
The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.
[tex]\frac{3}{2} = \frac{?}{6}[/tex]
We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.
What is the value for the expression (-5)(3 + 4) ?
Answer:
-35
Step-by-step explanation:
Since there are parentheses, you start with that. 3+4=7
Now, -5 x 7 =-35
Answer:
-35
hope this helps
have a good day :)
Step-by-step explanation:
3+4=7
-5 x 7=-35
I WILL GIVE YOU BRAINLIEST, PLEASE HELP! I
Answer:
Amber has a total of $1225.54 after 10 years. Jin has a total of $1225.35 after 10 years. So, Amber earns $0.19 more
Step-by-step explanation:
A: Amber
First, convert 8 percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year
P = Principal
e = 2.71828(mathematical constant)
t = time
Then solve the equation for A
A = P*e^(r*t)
A = 1,000.00(2.71828)^(0.08)(10)
A = $2,225.54
The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 8% per year compounded continuously over 10 years for Amber is $2,225.54.
J: Jin
First, convert 8 as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year
n = 365 days
Then solve the equation for A
A = P(1 + r/n)^n*t
A = 1,000.00(1 + 0.08/365)(365)(10)
A = 1,000.00(1 + 0.000219178)(3650)
A = $2,225.35
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 8% per year compounded 365 times per year over 10 years for Jin is $2,225.35.
$2,225.54-1000=A($1225.54)
$2,225.35-1000=J($1225.35)
Answer:
I think the person above explained it best. I just needed to answer a question to keep my streak going and since I know you irl, this is easy. Give that person brainliest bestie <3 they did good job
Step-by-step explanation:
6th grade math help me pleaseeee
Answer:
First one.
Step-by-step explanation:
0.3/3=0.1 ==> 0.1$ per meter
0.77/7 ==> 0.11$ per meter
The first option is cheaper, therefore better to buy if you agree with "the cheaper. the better".
This equation shows how the total number of pieces Lamar has learned depends on the number of weeks he has taken piano lessons. P = w The variable w represents the number of weeks he has taken piano lessons, and the variable p represents the total number of pieces he has learned. In all, how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?
Answer:
19 weeks
Step-by-step explanation:
Given equation:
P = w
Where,
w = the number of weeks he has taken piano lessons
p = the total number of pieces he has learned
how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?
Find w when p = 19
P = w
p = 19
Since P = w
19 = w
Therefore,
w = 19
Lamar need 19 weeks before he will be able to play a total of 19 pieces
A retailer sells a refrigerator for a list price of $1,200. The retailers cost was $850. What is the percentage of the markup?
Answer:
41%
Step-by-step explanation:
1200-850=350
350 is the markup, now we need the percentage
the orginal price was 850 so we just need to divide 350 by 850
we get 0.4117...
convert that to a percentage and we have 41% markup
Amy has a rectangular garden that is 23 feet wide. If the length of the garden is 12 feet, what is the length of its diagonal, in feet? Round to the nearest tenth
Answer:
25.9 feet
Step-by-step explanation:
If you split a rectangle into 2 pieces with a diagonal, each piece will be a right triangle
Therefore we can use the pythagorean theorem to solve this problem
The two legs of the right triangle will be 23 and 12
The formula is a^2 +b^2=c^2
c^2 is the diagonal squared ( the hypotenuse)
So:
12^2+23^2=c^2
144+529=c^2
673=c^2
To find just c we need to find the square root of 673, rounded to the nearest tenth
[tex]\sqrt{673}=25.9[/tex]
(the equation is rounded)
So the diagonal is 25.9
Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos.
Based on this data, what is a reasonable estimate of the probability that the next customer does not get an
arm tattoo?
Choose the best answer.
Choose 1 answer.
43
346
43
389
43
43
346
389
St Watch video or use a hint
Report a problem
Answer:
346/389
Step-by-step explanation:
First determine how many were not arm tattoos
389-43
346
P( not arm) = not arm /total
= 346/389
Answer:
346/389
Step-by-step explanation:
Khan
Help me emergency please
I think it's the second one since the line goes the whole way through the circle. but it's hard to tell.
do you happen to know if it's the radius it diameter?
Answer:
Step-by-step explanation:
radius=diameter/2
=11/2
=5.5 mm
circumference=2πr
=2*3.14*5.5
=34.54 mm
what are the coefficients in the expansion of (x+y)^6
Answer:
6 is the coefficient
Step-by-step explanation:
brainliest?
please help me!!!!! please
explaining your answer = brainliest
Answer:
42.39 sq.cm
Step-by-step explanation:
Ф = 135°
r = 6 cm
Area of the sector = [tex]\frac{theta}{360}*\pi *r^{2}\\[/tex]
[tex]= \frac{135}{360}* 3.14 *6 * 6\\\\= \frac{135}{10}*3.14\\\\= 27 * 1.57\\\\=42.39[/tex]
The area of sector bounded by 135 ° arc is 42.42 cm ².
Step-by-step explanation:
Given :-Radius of the circle , r = 6 cm
Angle of the circle, θ = 135 °
To Find :-Area of circle bounded by a 135 ° arc.
Solution :-We know that
[tex]\small \sf \: Area \: of \: sector \: = \frac{θ}{360} \: \times \pi \times r {}^{2} \\ [/tex]
Substitute the values of r and θ , we get
Area of sector =
[tex]\small \sf \: Area \: of \: sector \: = \frac{135 °}{360} \: \times \pi \times {6cm}^{2}\\ [/tex]
[tex]\small \sf \: Area \: of \: sector \: = \frac{135°}{360} \: \times \frac{22}{7} \times 6cm \times 6cm \\ \\ \small \: \sf Area \: of \: circle \: = \frac{135}{360} \times \frac{22}{7} \times 36cm {}^{2} \\ \sf \: \: = \frac{135}{10} \times \frac{22}{7} \\ \sf \: = 42.42cm \: {}^{2} [/tex]
Therefore, The area of sector bounded by 135 ° arc is 42.42 cm ².
Victor wanted to know the height of a tree at his friend’s house. On Saturday morning, he measured the shadow of the tree along the ground to be 24 feet long. At the same time, he measured his own shadow to be 3 feet long. Victor is 6 feet tall. Find the height of the tree
Ratio remains same
Let that be x[tex]\\ \rm\rightarrowtail \dfrac{6}{3}=\dfrac{x}{24}[/tex]
[tex]\\ \rm\rightarrowtail 2=x/24[/tex]
[tex]\\ \rm\rightarrowtail x=48[/tex]
Question 16. Use the Triangle Inequality Theorems to determine if a triangle can exist with the given side lengths. (HINT: A triangle with sides a, b and c
exists if and only if the sum of any two sides of the triangle is greater than
the third side.) *
7,16, 6
Answer:
no
Step-by-step explanation:
7 squared plus 6 squared is 85 while 16 squared is 256
Omar runs 3 miles everyday. He runs a mile in 4 minutes 30 seconds. How many miles did he run in the month of February?
Answer:
so he ran 84 miles and if you need 378.
Step-by-step explanation:
3*28=84miles
and then 84*4.5=378
help pls i will give brain list to whoever answers first
Answer:
not a answer
Step-by-step explanation:
try using demos graphing calculator
Need help with this....
Answer:
m ∠S = 43°
Step-by-step explanation:
Exterior angle = Sum of opposite interior angles
(6x)° = 77° + (2x + 3)°
6x = 77 + 2x + 3
6x - 2x = 77 + 3
4x = 80
x = 20
m ∠S = (2x + 3)° = 2(20) + 3 = 40 + 3 = 43°
Answer:
∠ S = 43°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ PQR is an exterior angle of the triangle, then
6x = 77 + 2x + 3 ( subtract 2x from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Then
∠ S = 2x + 3 = 2(20) + 3 = 40 + 3 = 43°
Can someone help me with this please :,)
Answer: 43.07
Step-by-step explanation:
Is the graph increasing, decreasing, or constant?
O A. Decreasing
ООО
B. Increasing
O C.
Constant
Can someone please help
simplify an expression
(x^2y^4z)^5/(xy)^2
A) y10z5
B) x6y7z5
C) x7y9z5
D) x8y18z5
Answer:
d
Step-by-step explanation:
On a number line, graph all the temperature that are warmer than -2 degrees Celsius
(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.
(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
On a number line, graph all the temperature that are warmer than -2°C.
(a)-2 °C temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.
The inequality to express the relationship between -2 and -5 will be -2>-5.
Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.
To learn more about the graph, refer to the link;
https://brainly.com/question/14375099
#SPJ2
If f (x) = 6x - 6, find f(-1).
Answer:
Step-by-step explanation:
1
Answer:
-12
Step-by-step explanation:
Hi Alyssa!,
For any x we multiply it by 6 and subtract 6 from it to get the F. The function tells us this. To find f(-1) it bassicly says what's f when x is -1. Well we know that. f is 6(-1)-6 whis is -12.
F is -12
JoeLouis2
Question 9 You are rushing out to get to your appointment in 30 minutes. From experience you know that most of the time you travel this distance in 30 minutes. However, half of the time there is heavy traffic. In the past, there has been heavy traffic and you have made it to your appointment within 30 minutes 34% of the time. You get out on the street and see that there is heavy traffic. What is the chance you will get to your appointment on time
Answer:
0.68
Step-by-step explanation:
According To the Question,
Let, H ⇒ "heavy traffic" & T ⇒ "get there on time".
Then, "half of the time there is heavy traffic" ⇔ P(H)=0.5.
Given, In the past, there has been heavy traffic and you have made it to your appointment within 30 minutes 34% of the time. This has to be taken to mean P(H and T) = 0.34.Now, you are given that there is heavy traffic, so We need to find P(T I H).
P(T l H) = P(H and T) / P(T)
P(T l H) = 0.34/0.5 ⇒ 0.68
While attempting to multiply the expression (3x + 7)" a student made mistakes. Explain and write the correct way.
Answer:
9x²+42x+49
Step-by-step explanation:
that is not the correct way to foil.
the correct way would be (3x+7)²= (3x+7)(3x+7)
simplifying that would give us 9x²+42x+49
his mistake was multiplying wrong because he did not foil
What is the value of √(18-6)^2+(17-1)^2
Answer:
20
Step-by-step explanation:
sqrt((18-6)^2+(17-1)^2)
Inside parentheses first
sqrt((12)^2+(16)^2)
Then square inside the parentheses
sqrt(144+256)
Sqrt(400)
Taking the square root
20
[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]
Let's try![tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \sqrt{{(12)}^{2}+ {(16)}^{2}} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \sqrt{144+ 256} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \sqrt{400} }[/tex]
[tex]\quad \quad \quad \quad\tt{ = 20}[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \huge\boxed{ \tt{ \color{green}20}}[/tex]
________
#LetsStudy
I need help. Please 30 points if you know no links, or I will report you.
Answer: for first question answer is second option and other question answer is again b
Step-by-step explanation:
Firstly you already see that the median is increasing because it is first 403 and changing to 553. We can understand it increased
SOMEBODY PLEASE HELP ME! I'M HORRIBLE AT GEOMETRY!
Answer:
Step-by-step explanation:
From graph :
IF = 59
MJ = 26
MJ/IF = 26/59
FGHI is sumilar to JKLM
So JK/FG = 26/58
So 26/59 = Jk/28
JK =( 28*26)/(59)=12.33 ~12
Let g(x) = 2x and h(x) = x^2 +4 evaluate (h*g)(-2)
Answer:
-32
Step-by-step explanation:
Firstly, what we have to do is to multiply g(x) by h(x)
We have this as;
2x(x^2 + 4)
We then proceed to substitute the value of x with -2 as follows
2(-2)(-2^2 + 4)
= -4(8) = -32
what is 12.8% of 250?
Answer:
32
put 12.8% as a decimal which is 0.128 and times it by 250
Answer:
32
Step-by-step explanation:
[tex]\frac{y}{250} :\frac{12.8}{100}[/tex]
y × 100 = 250 × 12.8
100y = 3200
100y ÷ 100 = 3200 ÷ 100
y = 32
The cost of 10 donuts and 2 cakes is the same. If the cost of 3 cakes and 5 donuts is $8, find the cost of a cake.
Answer:
$2
Step-by-step explanation:
Let the cost of a donut and a cake be $d and $c respectively.
10d= 2c
Dividing both sides by 2:
5d= c -----(1)
3c +5d= 8 -----(2)
Substitute (1) into (2):
3c +c= 8
Simplify:
4c= 8
Divide both sides by 4:
c= 8 ÷4
c= 2
∴ The cost of a cake is $2.
The product of two consecutive even integers is 36 less than 18 times their sum. Find the two integers
Answer:
34 and 36
Step-by-step explanation: 7 1 17 15
product of two consecutive even integer x(x+2) x is even
product of two consecutive even integer x(x + 2) plus 36 equal 18(x +x + 2)
x(x+2) + 36 = 18(x +x +2)
x² + 2x + 36 = 18x + 18x + 36 36's cancel, 2x - 36x = -34x
x² - 34x = 0 solve for x
x( x - 34) = 0 x = 0 and 34 only 34 is an even number!
x = 34 and 36