9514 1404 393
Answer:
8) 42 in²
9) 33 cm²
10) 112 yd²
Step-by-step explanation:
8) The area is given by the formula ...
A = 1/2(b1 +b2)h
A = (1/2)(9 in +5 in)(6 in) = 42 in²
__
9) The area is half the product of the lengths of the diagonals.*
A = 1/2(d1)(d2)
A = 1/2(6 cm)(11 cm) = 33 cm²
__
10) As in the previous problem, ...
A = 1/2(14 yd)(16 yd) = 112 yd²
_____
* This formula works for any quadrilateral with perpendicular diagonals.
When Elijah left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Elijah's battery, as a percentage, can be modeled by
the equation B = 27 – 4.5t, where t is the number of hours since Elijah left his
house. What is the slope of the equation and what is its interpretation in the context
nf the problem?
Answer:
The slope is -4.5
The slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
Step-by-step explanation:
In the equation y = mx + b, m is the slope.
The coefficient in the equation B = 27 – 4.5t is -4.5. This means that -4.5 is the slope of the equation.
In the context of this problem, the slope will represent the percent that Elijah's phone battery will decrease per hour.
So, the slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
Problem Andrey works at a call center, selling insurance over the phone. While debating which greeting he should use when calling potential customers — "Howdy!" or "Hiya!" — he decided to conduct a small study. For his subsequent 500500500 calls, he chose one of the greetings randomly by flipping a coin, and used the same script for his sale otherwise. Then, he compared the percentage of calls he succeeded in selling insurance using each greeting. He noticed that he was significantly more likely to make a sale in calls that started with "Hiya!" Can we conclude that the greeting caused the difference in sales? Why? Choose 1 answer:
Answer:
Yes, because the calls were each randomly assigned a greeting.
Step-by-step explanation:
It is given that Andrew who works at the call center of an insurance company, decided to conduct a small survey on how to greet the potential customers while calling.
For this, he uses his 500 subsequent calls and he chooses to greet his customers randomly as "Howdy" or "Hiya".
Since the selection bias is ruled out, the calls were randomly assigned for the greetings. Thus the greetings caused a difference in sales.
Answer:
Yes, because the calls were each randomly assigned a greeting
Step-by-step explanation:
Random assignment to treatment groups makes this study an experiment, so we can make causal conclusions.
5.
Multiply.
(3x + 2)(x - 3)
Answer: 3x^2 - 7x - 6
Step-by-step explanation:
Answer:
3x^2-7x-6
Step-by-step explanation:
(3x+2)(x-3)
3x^2-9x+2x-6
3x^2-7x-6
Hope this helps.
Samantha is playing a game with the spinner shown below. If she spins te spinner 24 times, how many times is the spinner likely to land on 1?
A. 8 times
B. 16 times
C. 12 times
D. 4 times
Answer:
Step-by-step explanation:
plz, answer this question without putting LINKS OR FILES!!!!! plz and thank you
what ordered pair is C located on the coorndiate plane
Answer:
([tex](\frac{1}{2},\frac{1}{4} )[/tex]
Step-by-step explanation:
Answer:
We're plotting an ordered pair on the x (horizontal) axis and y (vertical) axis of the coordinate plane. Created by Sal Khan and Monterey Institute for Technology and Education.
A machine produces 3-inch nails. A sample of 10 nails is obtained and the lengths determined. After some calculation, the sample mean is 2.98 and the sample standard deviation is 0.09. Find a 90% confidence interval for the population mean length of nails produce by the machine. Please input the upper limit of the confidence interval
Answer:
The 90% confidence interval for the population mean length of nails produced by the machine.
(2.91562, 3.04438)
Step-by-step explanation:
Step:1
Given that the size of the sample 'n' = 10
Given that the mean of the sample (x⁻) = 2.98
Given that the standard deviation of the sample (s) = 0.09
Degrees of freedom = n-1 = 10 -1 = 9
t₀.₁₀ = 2.2621
Step:2
The 90% confidence interval for the population mean length of nails produced by the machine.
[tex](x^{-} - t_{9 , 0.10} \frac{S}{\sqrt{n} } , x^{-} + t_{9,0.10} \frac{S}{\sqrt{n} } )[/tex]
[tex](2.98 - 2.2621(\frac{0.09}{\sqrt{10} } , 2.98 + 2.262 \frac{0.09}{\sqrt{10} } )[/tex]
(2.98 - 0.06438 , 2.98 + 0.06438)
(2.91562 , 3.04438)
Final answer:-
The 90% confidence interval for the population mean length of nails produced by the machine.
(2.91562, 3.04438)
Does anyone know the answer
Answer:
d = 126, z = 28
Step-by-step explanation:
The angle with the variable is diagonal from the 105 degree angle. In this case, that means that they are equivalent. So, 105+21 = 126. d = 126 :)
In London today, twice the low temperature was less than three times
the low temperature minus ten. In interval form, what are the possible
temperatures?
Find the Reciprocal of the number.
17
Answer:
1/17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
17
To take the reciprocal of the number, we simply take its fraction form and flip it:
17 = 17/1
Flip
1/17
The midpoint M of CD has coordinates (5, 8). Point C has coordinates (4,8). Find the
coordinates of point D.
Write the coordinates as decimals or integers.
D=
Submit
4
A pet store sold 274 cans of cat food last weekend for a total of $216.46. What was the price per can?
Answer:
Compare them ➗That's the answer
Please help I’m stuck
Answer:
On wat
Step-by-step explanation:
Answer: 2 Don't know
Step-by-step explanation:
Is there a pattern behind prime numbers?
Answer:
There is a rule on how we find prime numbers.
Step-by-step explanation:
A clear rule determines exactly what makes a prime: it's a whole number that can't be exactly divided by anything except 1 and itself. But there's no discernible pattern in the occurrence of the primes.That's because, after the number 5, there are only four possibilities — 1, 3, 7, and 9 — for prime last digits
Ashley was given the following problem and she drew a bar diagram to help her solve the problem.
Julie is 5 years younger than her sister, Molly. The sum of their ages is 37. How old is each sister?
Identify the error that Ashley made in creating her diagram and explain to her how to fix it.
Answer:
Julie is 16 years old and Molly is 21 years old.
Step-by-step explanation:
Given that Julie is 5 years younger than her sister, Molly, and the sum of their ages is 37, to determine how old is each sister the following calculation must be performed:
(37 - 5) / 2 = X
32/2 = X
16 = X
(16 + 5) + 16 = X
21 + 16 = X
37 = X
Therefore, Julie is 16 years old and Molly is 21 years old.
i need help with 1 and 3 the slope is 3/4
Answer:
3y
Step-by-step explanation:
Answer:
y intercept is 4
the equation is y= 3/4 + 4
Slope intercept equation y=mx+b
Which of the following irrational numbers will result in a rational number when squared? Put a check mark next to all correct answers.
Answer:
The square root of 7 and the square root of 2
Step-by-step explanation:
The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns $90 for instructing 15 students on Monday afternoon. Last Friday, she earned $62 for working with 8 students. Lisa is also a skating instructor. She receives half the base amount that Mary does, but she is paid twice as much per student. Who would earn more money instructing a class of 20 students?
Answer:
lisa would earn more money
Step-by-step explanation:
let say mary base price = x
mary per student price = y
x+15y = 90
x+8y = 62
7y = 28
y =4
x = 30
mary will earn for 20 students = 30 + 20*4 = 110
lisa base money = 30/2= 15
lisa per student = 4*2=8
lisa earning for 20 students
= 15 + 20*8 = 175
lisa will earn more money
Find the P-value for a test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6). Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level. 2.041 1.5486 1.2743 2.536
Answer:
The p-value of the test is 0.0207.
Step-by-step explanation:
Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).
The null hypothesis is:
[tex]H_0: p = 0.6[/tex]
The alternate hypothesis is:
[tex]H_1: p > 0.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that [tex]\mu = 0.6, \sigma = \sqrt{0.6*0.4}[/tex]
Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.
This means that [tex]n = 100, X = \frac{70}{100} = 0.7[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.7 - 0.6}{\frac{\\sqrt{0.6*0.4}}{\sqrt{100}}}[/tex]
[tex]z = 2.04[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.
Looking at the z-table, z = 2.04 has a p-value of 0.9793
1 - 0.9793 = 0.0207
The p-value of the test is 0.0207.
Michael just accepted a job salary of $53000. Michael was told that for each year stays with the company, he will be given a salary raise of $4500. How much would Michael make as a salary after 10 years working for the company? What would be his salary after t years?
Answer:
98,000
and for the t it would be an equation-
4500y=t
y= years worked for a company
Step-by-step explanation:
it is 98000 because 4500*10 because 4500 more each year.
and the 4500y=t is 4500 times the of years he has worked there equals t, or his salary after the 4500 is added.
Fine the area of the regular figure
Answer:
139.5 mm
Step-by-step explanation:
The area of a geometric shape with all sides of equal length is:
A (1/2)nsr
n = the number of sides
s = the length of the sides
r = the length of the apothem
The apothem is the line going from the center point of the shape to the middle of one of the sides.
A = (1/2)(5)(9)(6.2)
A = (1/2)279
A = 139.5 mm
10. Giselle invests $16,250 in an account that earns 4.25% interest, compounded continuously.
How long, rounded to the nearest year, will it take for Giselle's money to grow to $40,000?
Answer: 24 years
Step-by-step explanation:
% • total = Answer
4.25% • $40,000 = Answer
.0425 • $40,000 = Answer
Answer = $1,700 per year
40,000 ÷ 1,700 = 23.5
23.5 rounded to the nearest year is 24
please helpppppp this is due in about 20 mins!!
25) Margie needs to borrow $9,000 from a local bank. The
loan has a 8.5% interest rate for 4 years. What will
Margie's monthly payment be?
A) $ 221,850.00
B) $3060.00
C) $250.0
D) $ 221.85
Answer:
B) $3060.00
Step-by-step explanation:
8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.
I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.
I'm not sure if this is correct
Find A
For Problem 12
Answer:
answer is $1920
Step-by-step explanation:
first of all u shoul find interest.so,
I=PTR/100
=$1600*5*4/100
=$32000/100
=$320
so interest is $3200.now,
Amount(A)=P+I
=$1600+$320
=$1920
so the total amount the person receives after 5 years at the rate of 4% is $1920.
Hope it helps u!!
Find the percent of change and state whether it was a percent of increase (I) or percent of decrease (D). from $289 to $762
Answer:
163.67 ( I )
Step-by-step explanation:
The perimeter of a square is 36 feet. If you increase the length by 3 feet and decrease the width
by 2 feet, what is the area of the new figure?
Answer:
84 feet
Step-by-step explanation:
If the perimeter is 36 feet, and all the sides are the same length, then all the sides are 9. if we increase the length by 3 feet and decrease the width by 2 feet then we are left with 12 * 7 = 84
Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?
0 = –3x – 5 + x2
0 = x – 3 – 5x2
0 = 3x – 5 – x2
0 = –3x + 5 – x2
Answer:
Option (a) is correct.
For given values a = 1 , b = -3 , c = -5 the quadratic equation is
Step-by-step explanation:
Given : a = 1 , b = -3 , c = -5
We have to write the quadratic equation having a = 1 , b = -3 , c = -5 and choose the correct option.
The standard form of quadratic equation is , where a, b, c are constant integers.
Given : a = 1 , b = -3 , c = -5
Then Substitute, we get,
Thus, the obtained quadratic equation is same as option (a)
Thus, For given values a = 1 , b = -3 , c = -5 the quadratic equation is
The equation for which a-value 1, ab-value -3 and ac-value -5 is 0=-3x-5+x².
What is quadratic equation?
Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.
Here, a-value = 1,
ab-value = -3
ac-value = -5
a = 1, b = -3, and c = -5
General Equation,
ax² + bx + c = 0
1x² + (-3)x + (-5) = 0
x² -3x -5 = 0
Thus, the equation for which a-value 1, ab-value -3 and ac-value -5 is 0= -3x -5 + x².
Learn more about Quadratic Equation from:
https://brainly.com/question/1863222
#SPJ2
the question is on the image
ans]=71
x-10=61
x=61+10
x=71
A rectangle has an area of 99 square in. What is the length of the long side?
Answer:
The longer length is either 99, 33 or 11 inches
Step-by-step explanation:
Given
[tex]Area = 99[/tex]
Required
The length of the longer side
Area of a rectangle is:
[tex]Area = Length * Width[/tex]
List out all possible products that give 99 [Assume the dimension are whole numbers]
[tex]Length * Width = 99 * 1 = 99[/tex]
[tex]Length * Width = 33 * 3 = 99[/tex]
[tex]Length * Width = 11 * 9 = 99[/tex]
List out the longer factors
[tex]L = \{99, 33, 11\}[/tex]
Hence, the longer length is either 99, 33 or 11 inches
Which of the following values is NOT a solution to |4x - 6| - 12 > 8?
A. 10
B. 7
C. 4
D. -5
Answer:
Option C
Step-by-step explanation:
Given :-
| 4x -6| -12>8Options :
1074-5We can check the options , as ,
[tex]:\implies[/tex] Option 1 : 10
| 4*10-6|-6>8| 40 - 6| - 6 > 8| 34 | - 6 > 834 - 6 > 8 28 > 8 ( a solution )[tex]:\implies[/tex] Option C : 4
| 4*4 -6 | -6 > 8| 16 - 6 | - 6 > 8| 10| - 6 > 810 - 6 > 84 > 8 ( not a solⁿ )Hence option C is not a solution .