Answer:
C
Step-by-step explanation:
The diagonal can be represented as the hypotenuse of a right triangle with 3 and 3 as its legs. Use the pythagorean theorem to get that 3^2+3^2=c^2. Simplify to 9+9=c^2 or 18=c^2. Square root both sides to get c=√18. Simplify to get c=√9*2 or c=3√2 for the diagonal.
The length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units
The length of the diagonal of a square is calculated using the following Pythagoras theorem
[tex]d^2 = l^2 + l^2[/tex]
Where:
d represents the length of the diagonall represents the side length of the squareSo, we have:
[tex]d^2 = 3^2 + 3^2[/tex]
Evaluate the like terms
[tex]d^2 = 2(3^2)[/tex]
Take the square roots of both sides
[tex]d =3\sqrt2[/tex]
Hence, the length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units
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The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. What is the score that is 25 standard deviations below the mean?
Answer: The z-score for an ACT score of 26 is 0.17.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation , the zscore of a measure X is given by:
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 pvalue, we get the probability that the value of the measure is greater than X.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
Find the z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17.
The z-score for an ACT score of 26 is 0.17.
What is z-score?
When assessed in terms of standard deviation units, a raw score's location in relation to its distance from the mean is indicated by a z-score. If a value is above the mean, the z-score is positive; if it is below the mean, it is negative.
In a set with mean and standard deviation , the z-score of a measure X is given by: z-score=(x-μ)/σ
How do you find z-score?
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 pvalue, we get the probability that the value of the measure is greater than X.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
We need to find z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17
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Line ABC is a straight line
Which descnbes the relationship between 21 and 22?
21 and 22 are complementary angles.
21 and 22 are supplementary angles.
21 and 22 are vertical angles
21 and 22 are acute angles
Answer:
angle 1 and angle 2 are supplementary angle
Answer: the answer is b
Step-by-step explanation:trust
When 334 college students are randomly selected and surveyed, it is found that 103 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.
Answer:
(.24329, .3734)
Step-by-step explanation:
1-propzint
n=334
x=103
c level .99
help pls pls pls シ
And thanks!
Answer:
the answer the 10.25 u move both decimals over and move it up to the top and divide like normal
Eva's mother will add $5 to all other
donations that she collects for the school
fund drive.
Let a = all other donations.
Let t = total donations.
Graph t = a + 5.
Answer:
hope it helps you...
The points of the graph are (10,15)(20,25)(5,5)
Step-by-step explanation:
IF YOU AWNSER THIS QUESTION ILL GIVE YOU 1$
Write the equation of the line that is parallel to the line y=2x+1 that passes through the point (-3, -2).
Answer:
what i got was
y-1=2x-8¬y=2x-7
Find the area of the shaded region above
Answer:
given
length[l]=14
breadth =base [b]=13
height [h] for triangle=8
area of shaded region
=area of rectangle+traingle=l×b+1/2 b×h=14×13+1/2×13×8=234 square units
Area of shaded region is 234 square unit
Given:
Base of rectangle box = 13
Height of rectangle box = 14
Height of triangle = 8
Find:
Area of shaded region
Computation:
Area of shaded region = Area of rectangle + Area of triangle
Area of shaded region = [(l)(b)] + [(1/2)(b)(h)]
Area of shaded region = [(14)(13)] + [(1/2)(13)(8)]
Area of shaded region = 182 + [(13)(4)]
Area of shaded region = 182 + 52
Area of shaded region = 234 square unit
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The school is trying to paint one side of the curved dividers as show below for the computer lab. The
can of paint is able to cover an area of 25ft?. Will this be enough paint? Select the best answer.
Answer:
Yes, because the area of one side of the divider is approximately 24ft^2
Answer:
yes 24 squared
Step-by-step explanation:
Math Nation
Guys can you please help me. If you guys see this guy and tells you to download stuff and gives you link dont trust them there a hacker his name is( Alan890426 )
Answer: ill take care of him
Step-by-step explanation:
PLZ HURRY 30 PTS!!!!! PLZ
Lines AE and GH are parallel in the image below. The image will be used to prove that the sum of the measures of the
interior angles of
Which statement would be included in a proof of why m
Angles F&H are congruent
Angles A&G are congruent
Angles A&H are congruent
Angles E&C are congruent
Knowing how to recognize congruent lines, we have Angles A&H are congruent.
What does it mean to say that two line segments are congruent?Two line segments are collinear if they lie on a line. Two line segments are congruent when they have equal measures.
What is a parallel line?Parallel lines are lines in a plane that are always the same distance from each other. Parallel lines never intersect, while perpendicular lines are those that intersect at a right angle (90 degrees).
In this way, we can identify that the only lines that represent a congruent line are lines A and H.
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Which two ordered pairs represent point a and point b on the graph ?
A 2,3 and B 7,8
A 7,8 and B 8,7
A 3,2 and B 8,7
A 8,7 and B 3,2
Pls help me
Answer:
2, 3 and 7,8
Step-by-step explanation:
please someone help me with this ASAP especially with the workout!!
Help me and I’ll give you brainliest
Answer:
i think its 60
Step-by-step explanation:
Beth has $100 to invest. She can invest this into a 7% simple interest account or into an account with 5% interest compounded quarterly. The table shows the amount that would be in each account over the first five years. Which of the following statements are true about the growth shown in the table? The simple interest shows linear growth because it is adding a constant amount. The simple interest shows exponential growth because it is adding a constant amount. The compound interest shows linear growth because it is multiplying by a constant amount. The compound interest shows exponential growth because it is multiplying by a constant amount.
Answer:
The answer is a and d
Step-by-step explanation:
The simple interest shows linear growth because it is adding a constant amount.
The compound interest shows exponential growth because it is multiplying by a constant amount.
What is simple interest?"Simple interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time."
What is compound interest?"Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest."
Here the principle amount is $100.
Simple interest rate is 7%.
Compound interest is 5% compounded quarterly.
After 5 years, with simple interest, the amount will be
= $[100 + (100 × 7 × 5)/100]
= $[100 + 35]
The simple interest shows linear growth because it is adding a constant amount.
After 5 years, with compound interest, the amount will be
= $[100(1 + 0.05/4)⁴⁽⁵⁾]
= $[100(1 + 0.0125)²⁰]
= $[100(1.0125)²⁰]
Therefore, the compound interest shows exponential growth because it is multiplying by a constant amount.
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(8 x 12) - 2(60 ÷ 10) - 15
srry i cant do this ive tryed and im stuck on the 2 step
Answer:
69 (lol)
Step-by-step explanation:
PEMDAS
parentheses, exponents, multiply, divide, add, subtract (in that order)
[tex](8*12)-2(\frac{60}{10} )-15\\=96-2(\frac{60}{10} )-15\\=96-2(6)-15\\=96-12+(-15)\\=96-27\\=69[/tex]
Find the distance between the pair of points (-7, 2) and (-2, 14)
Step-by-step explanation:
Distance between points (-7, 2) and (-2, 14) is 13
Which of the following best describes ABC – DEF?
A. ABC is a dilation of DEF.
B. ABC is similar to DEF.
C. ABC is a reflection of DEF.
D. ABC is congruent to DEF
Please help I will give brainliest.
Answer:
A. ABC is a dialtion of DEF
Plz help me, ASAP look at the photo
Answer:
Input Output
0 1
2 2
-8 -3
100 51
Step-by-step explanation:
Given
The rule: input ⇒ ÷2+1 ⇒ output
Solve
0 ⇒ 0÷2+1 ⇒ 1
2 ⇒ 2÷2+1 ⇒ 2
-8 ⇒ -8÷2+1 ⇒ -3
100 ⇒ 100÷2+1 ⇒ 51
Hope this helps!! :)
Please let me know if you have any questions
What is the area of the hexagon below? 6CM
Write an equation to represent the relationship between red paint, r, and yellow paint, y, in each batch.
The equation to represent the relationship between red paint, r, and yellow paint, y, in each batch can be written as r = 3 / 2y.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given:
At r = 2, y = 3,
r = 4, y = 6,
r = 6, y = 9
Here, r is red paint and y is yellow paint.
The above condition can be written as
2r = 3y
r = 3 / 2y
Therefore, the equation to represent the relationship between red paint, r, and yellow paint, y, in each batch can be written as r = 3 / 2y.
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Fill in the boxes to make a true statement. (_-3i)-(15+_i)=7-12i
Answer:
blank space=[tex]\frac{31}{2}[/tex]+[tex]\frac{13i}{2}[/tex]
The empty boxes which make the equation true are (22 -3i) - (15 + 9i)
= 7 - 12i.
What are complex numbers?As the name suggests it is a combination of real numbers and imaginary numbers.
A complex number (a + ib) where a is the real part and b is the imaginary part.
'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.
Given, (_ -3i) - (15+_i) = 7 - 12i.
Assuming the real number to be 'a' and the imaginary number to be 'b'.
∴ (a - 3i) - (15 + bi) = 7 - 12i.
a - 3i - 15 - bi = 7 - 12i.
On comparing the real and imaginary parts we get,
a - 15 = 7.
a = 22,
- 3i - bi = - 12i.
- bi = - 9i.
b = 9.
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URGENT!! I NEED HELP ASAP NOT ROCKY
Ryan wishes to purchase a new boat and can afford monthly payments of up to $300 per month. Finance is available and the terms are that the loan lasts for 3 years, and the annual interest rate is 12%. What is the maximum price for a boat that Ryan's budget can afford? Round your answer to the nearest hundred dollars.
Answer:
$9000Step-by-step explanation:
Given
Monthly payment P = $300Time t = 3 years = 36 monthsNumber of payments n = 36Interest rate r = 12% PA = 1% per month = 0.01 timesUse loan payment formula:
P = r(PV) / (1 - (1 + r)⁻ⁿ), where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of paymentsSubstitute values and solve for PV:
300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)PV = 300*(1 - 1.01⁻³⁶ )/ 0.01 PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)
A shirt is on sale for 20% off its original price. If the shirt cost $40, how much will the shirt cost after the discount?
$8
$20
y = −2x + 1
4x + 2y = −2
Please help I’ll mark you as brainliest if correct!
Answer:
The answer is 75.
Proof:
75/45 when simplified is 5/3
Scarlet made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with AD on the scaled copy of quadrilateral.
Answer:
10 or any number >9
Step-by-step explanation:
Side AD is 9 units long so if the scale factor is greater than 1 you multiply that side by 1. This will give you a number such as 10 or 18 or any number that is greater than 9.
It cost 5.50 for parking, plus an additional $8 for each concert ticket purchased. If joe starts off with a 50 dollar bill and buys 3 concert tickets and a 10$ T-shirt, how much money will he have left? PLEASE HELP
Answer:
$10.50
Step-by-step explanation:
50-[5.50+8(3)+10] =
50-39.50=
10.50
Answer:
$6.00
first multiply eight and three then add the two things joe bougth. then the answer minus 50
Between which set of ordered pairs is the distance the least?
(-1, -5) and (-1, -9)
(4, -7) and (2, -7)
(-5, 2) and (-2, 2)
(1, 9) and (6, 9)
Answer:#1
Step-by-step explanation:
Find the area of the trapezoid. A trapezoid has a base of 8 meters, a height of 6 meters, and a top side length of 4 meters.
Answer:
36 m²Step-by-step explanation:
A = 1/2(b₁ + b₂)hA = 1/2(8 + 4)*6 = 36 m²A polling agency reported that the proportion of 12th grade students who are engaged is 0.34. Engagement is defined as students' involvement and enthusiasm with school. The superintendent of one high school district believes the engagement of her students is higher than the proportion reported. She randomly surveys 90 of the 3600 students in the district and finds that 38 reported being engaged in school.
Required:
a. What type of variable is "engaged"?
b. What is the sample proportion of students in this high school district who are engaged?
Answer:
a) "engaged" is a quantitative and continuous variable.
b) The sample proportion of students in this high school district who are engaged is 0.4222
Step-by-step explanation:
Given the data in the question;
Polling reports shows that 0.34 12th grade students are engaged
the principal surveyed 90 of the 3600 students,
number of students reported to be engaged is 38
a)
"engaged" is a quantitative and continuous variable.
b) the sample proportion of students in this high school district who are engaged.
Sample proportion of engaged = number of students reported to be engaged / total number of students surveyed
so
Sample proportion of engaged = 38 / 90
Sample proportion of engaged = 0.4222
Therefore, the sample proportion of students in this high school district who are engaged is 0.4222