Answer:
2x - 2
Step-by-step explanation:
There are two steps to take here. First add together the -3 + 2 in the brackets:
2(x - 3 + 2)
= 2(x - 1)
Now use the distributive property and multiply each term in the brackets by two:
2(x - 1)
= 2x - 2
And you now have it in simplest form.
Yes or No: Is this triangle a Right Triangle with side measures 21, 28, 35?
Answer:
yes
Step-by-step explanation:
Hello There!
In order for a right triangle to be a right triangle the hypotenuse ( longest side) squared must equal the sum of the two shorter sides squared
so if this is a right triangle then
[tex]21^2+28^2=35^2\\21^2=441\\28^2=784\\784+441=1225\\35^2=1225\\1225=1225[/tex]
so as you can see 21^2+28^2 does = 35^2 so the side measures given do make a right triangle
giving brainliest !!!!!
In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent (Pew Research, June 5, 2014). An independent research firm has been charged with conducting a sample survey to obtain more current information.
Required:
a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).
b. Repeat part (a) using a 99% confidence level (round up to the next whole number).
Answer:
a)
[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex], in which z is related to the confidence level.
b) A sample size of 991 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent
This means that [tex]\pi = 0.16[/tex]
a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).
This is n for which [tex]M = 0.03[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = z\sqrt{\frac{0.16*0.84}{n}}[/tex]
[tex]0.03\sqrt{n} = z\sqrt{0.16*0.84}[/tex]
[tex]\sqrt{n} = \frac{z\sqrt{0.16*0.84}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex]
[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex], in which z is related to the confidence level.
Question b:
99% confidence level,
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex]
[tex]n = (\frac{2.575\sqrt{0.16*0.84}}{0.03})^2[/tex]
[tex]n = 990.2[/tex]
Rounding up
A sample size of 991 is needed.
Which of the following best describes how to solve
2x+3 = 2x + 37
Answer: The first option.
Step-by-step explanation:
If you square you get [tex]2x+3=2x+9[/tex]
x=0
190 sweets is split into 80 sweets and 110 sweets . in simplest form ,what is the ratio of the split?
Answer:
8:11
Step-by-step explanation:
80:110
Find highest common factor which would be 8.
Divide both sides by 8.
8:11
pls help I'll mark the first person brainliest answer all
Answer:
4
a. 12
b. 8
c. 30
d. 40
Step-by-step explanation:
each exterior = 360/n
30*n=360
divide both side by 30
Answer is 12
The same apply to others to 4d
so first its 4
a. 12
b. 8
c. 30
d. 40
i will try to explain:
each exterior = 360/n
30*n=360
divide both side by 30
Answer is 12
The same apply to others to 4d
Which inequality is represented by this graph?
Answer:
number 1
Step-by-step explanation:
PLEASE HELP ! due in few minutes !
Answer:
A
Step-by-step explanation:
the x values are the same so there is no increase or decrease in slope. therefore the slope is 0
How to find the value of x
Step-by-step explanation:
To find the value of x bring the variables to the left side and bring all what remained values to the right side and then simplify them to find the answer or the result hope I helped and a have a good luck
find the surface area of thw figure below.
A. 261 cm
B. 270 cm
C. 441 cm
D. 810 cm
Step-by-step explanation:
Area = 1/2 x b x h
= 1/2 x 9 x 10
= 45 cm ^2
As it has 6 faces, we multiply the area by 6
45 x 6 = 270 cm^2
Help with this DONT know the answer DONT answer
Answer:
c 12/3.95 = 9/x is the answer.
What is the range for c=6t+8
Answer:
is this statistics? i will change my answer once u explain to me thank you.
Step-by-step explanation:
Answer:
Its infinite
Step-by-step explanation:
Which conclusion does the diagram support?
Answer:
C. AB/BC=FE/ED
Step-by-step explanation:
I will give you b if your answer is correct I only mark first answer so please help me
Answer:
b
Step-by-step explanation:
Elena's math class had 25 students yesterday. she miscounted the class total and recorded it as 20 students. What is Elena's percent error ?
PLZ I NEED HELP ANSWER QUICK PLZ
Answer:
wut the actual fu q docu FM HD so
What is 5+5+5+5+5+5+5+5+5+5+5+5+5
Answer:
65
Step-by-step explanation:
13x5 = 65
Answer:
The answer is 65 lol
Step-by-step explanation:
Hopefully this helps
One acre is equivalent to 43,560 square feet. If an acre is also equivalent to 4,840 square yards, how many square feet are equal to one square yard? Add an explanation and a step by step answer.
Help please thank you so much! (Math has never really been my strongest subject)
Answer:
Step-by-step explanation:
1 acre = 4,840 yd²
1 acre = 43,560 ft²
4,840 yd² = 43,560 ft²
1 yd² = 43,560/4,840 ft² = 9 ft²
pls helpp !!! ASAP i’ll give you the brainlest answer ONLY if the answer is correct!! BUT PLS HELP ME outt last minute
Answer:
10 is the right answer
Step-by-step explanation:
please mark me as brainliest answer
Can Somebody Help Me Please?
Answer:
28 (length' unit)²
Step-by-step explanation:
the area of all A rectangle is 4*8 =32The area of the missing portion of the rectangle is equal to the area of the triangle ½*(2)*(4)=4the area of this shape equal tothe area of all A rectangle - The area of the missing portion of the rectangle = 32 - 4 = 28 (length' unit)²
ill mark brainlist plss help
Step-by-step explanation:
Perimeter of rectangle = 2(l+b)
= 2(97+17)
= 2(114)
= 228cm
Answer:
P = 228 inches
Step-by-step explanation:
P = 2(l + w)
l = 97 inches
w = 17 inches
P = 2 (97 + 17)
P = 2 x 114
P = 228
Consider △BTW as pictured below.
Find m
Answer:
m<W: 23
Step-by-step explanation:
8x - 9 + 30x - 4 + 13x - 11 = 180
51x - 24 = 180
51x = 204
x = 4
m<W:
8x - 9
8(4) - 9
32 - 9
23
2. Raj buys a terrarium that is in the shape of a triangular prism. The dimensions of the
terrarium are shown below.
o 3 ) –
O 2 (3 (0()) + 3 (5. 10) = 174
S in
5 in
4 in
10 in
6 in
(6) (4)+ (5.10)+ 2 (6 - 10) 122
Raj knows that every triangular prism is made up of two triangular sides and three
rectangular sides. Which equation represents the total surface area, in square inches,
of the terrarium?
O
(6 + 5 + 5)(10)+2 (3 (019)
CLEAR ALL
Pamela's age is three times Jiri's age. The sum of their ages is 72. What is Jiri's age?
Answer:
24
Step-by-step explanation:
72/3=24
You have $400,000 saved for retirement. Your account earns 5% interest. How much will you be able to pull
out each month, if you want to be able to take withdrawals for 25 years?
Answer:
$4,515.14
Step-by-step explanation:
First we need to get the amount after 25 years on $400,000 at 5% interest
Using the compound interest formula
A = P(1+r)^n
A = 400,000(1+0.05)^25
A = 400,000(1.05)^25
A = 400,000(3.3864)
A = $1,354,541.98
Since 25years = (25*12)months
25 years = 300months
Amount to be able to pull out each month = $1,354,541.98/300
Amount to be able to pull out each month = $4,515.14
Hence you will be able to pull out $4,515.14 each month
HELP HELP HELP AND EXPLAIN ANSWERS PLEASE. I U PUT A LINK UR GONNA GET REPORTED
9514 1404 393
Answer:
2) (b) -7
3) (b) 14
Step-by-step explanation:
2) The sum is found by adding the numbers together. Your calculator can help if you can't do it in your head. I usually find it easier to add the positive and negative numbers separately. Of course the 0 can be ignored.
18 + 0 -4 -12 +6 -15 = (18 +6) -(4 +12 +15) = 24 -31 = -7
__
3) Apparently, we are to assume that George's percentage will apply to the next 40 pitches. Then ...
(number missed)/(number thrown) = 35%
missed = (thrown)×0.35 = 40×0.35 = 14
George is expected to miss 14 of the 40 pitches.
A motorist takes 5 hours
to travel & 300km, how
Long will it take to bravel
720 km at sume
average Speed?
Answer:
12 hours.
Step-by-step explanation:
A motorist takes 5 hours to travel 300km
This means that his velocity, in km per hour, is given by:
v = 300/5 = 60 km/h
How long will it take to travel 720 km at same average speed?
720 km, 60 an hour. So
720/60 = 12
It will take 12 hours.
Desire conducts a survey of all 800 students in her school to find their favorite berry. She graphs the results of the survey the circle graph shown. If the number of students who prefer raspberries doubles, how many students would choose raspberries as their favorite?
A) 80 students
B) 320 students
C) 40 students
D) 160 students
("My teacher gave a hint: The correct percent (double 20% is 40%) but they want to know what is 40% of the total. Set up a proportion.
x 40%
_____ = _____
800 100
Cross multiply and divide to get your answer!")
Answer:
C) 40 students
Step-by-step explanation:
The correct percent double 20% is 40% but they want to know what is 40% of the total. Set up a proportion.
x 40%
_____ = _____
800 100
Cross multiply and divide to get your answer!
I need an answer now please quick and easy
Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather, traffic conditions, and the employer's line of business. One week after its release, 6,040 copies of Slick Slack were downloaded. After 5 weeks, 13,090 copies had been downloaded. Let x represent the number of weeks since Slick Slack was released, and y represent the number of copies that had been downloaded. Use the marginal change and the fact that 1 week after its release 5840 copies of Slick Slack were downloaded to determine the y intercept in the equation y = a + bx.
a) (x,y) =____.
b) write the equation in the form y = a + bx for the number of copies downloaded x weeks after its release.
Answer:
[tex](x_1,y_1) = (1,5840)[/tex]
[tex](x_2,y_2) = (2,13090)[/tex]
[tex]y = 1812.5x + 4027.5[/tex]
[tex]y_0 = 4027.5[/tex] --- y intercept
Step-by-step explanation:
Given:
x = weeks; y = copies
The right parameters are:
After 1 week, 5840 copies were downloaded
After 5 weeks, 13090 copies were downloaded
So, the (x,y) forms are:
[tex](x_1,y_1) = (1,5840)[/tex]
[tex](x_2,y_2) = (5,13090)[/tex]
Next, we calculate the slope (m) using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{13090 - 5840}{5 - 1}[/tex]
[tex]m = \frac{7250}{4}[/tex]
[tex]m = 1812.5[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 1812.5(x - 1) + 5840[/tex]
[tex]y = 1812.5x - 1812.5 + 5840[/tex]
[tex]y = 1812.5x + 4027.5[/tex]
To calculate the y intercept, substitute 0 for x
[tex]y_0 = 1812.5*0 + 4027.5[/tex]
[tex]y_0 = 0 + 4027.5[/tex]
[tex]y_0 = 4027.5[/tex]