Answer:
There are 2 possible solutions
Step-by-step explanation:
Given
x² = 100 ( take the square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
Since 10 × 10 = 100 and - 10 × - 10 = 100
solutions are x = 10 , x = - 10
Find the sum of (3 – 4i) and (6 + 7i)
Answer:-(3-4i) and -(6+7i)
Step-by-step explanation: To find the complex conjugate, negate the term with i.
A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them.
Required:
Conduct a hypothesis test at the 5% level.
Answer:
We fail to reject H0
Step-by-step explanation:
Null hypothesis : H0 : Plocal ≤ Pnational
Alternative hypothesis : H1 : Plocal > Pnational
Plocal = P1 = 65/100 = 0.65
Pnational = P2 = 61/100 = 0.61
n1 = 100 ; n2 = 100
Mean, m = P1 - P2 = 0.65 - 0.61 = 0.04
The standard deviation : = sqrt(Variance)
Variance = P1(1 - P1) /n1 + P2(1 - P2) /n2
Variance = 0.65(0.35)/100 + 0.61(0.39)/100
Variance = 0.002275 + 0.002379 = 0.004654
Standard deviation (s) = √(0.004654) = 0.06822
Z = m/s = 0.04 / 0.06822 = 0.586
Using the p-value from Z score calculator :
Hence, Pvalue for a Zscore 0.586 at 5% = 0.278938
Since ;
P-value is > α ; 0.278938 > 0.05
Then we fail to reject H0
The graph of function g has x-intercepts at x = -1 and x = 3 and a y-intercept at y = -3. Select the graph that could model function g.
Answer: D
Step-by-step explanation:
f(n)=f(n-1)+3; f(1) = 7
i will be back to help you guys
Answer:
thx u xox ur so sweet
Step-by-step explanation:
Jace measured a line to be 14 inches long. If the actual length of the line is
13.1 inches, then what was the percent error of the measurement, to the
nearest tenth of a percent?
Answer:
6.87022901%
Step-by-step explanation:
He measured 14 out of 13.1 inches. There is a difference of 0.9 inches when u subtract. He miscalculated by 0.9 out of 13.1. In a calculator you divide .9 by 13.1 you get 0.0687022901. Multiply by 100 to get the percent and round it to your desired decimal place.
three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?
Answer:
i think the answer is 8
Step-by-step explanation:
Answer:(13, 3)
maybe
Hope it helps
1) Which property is used in the following ? 4 * (3 + 6) - 4* 3 - 4 x 6
A. Commutative Property
B. Associative Property
C. None of the above
D. Distributive Property
16 ) Which of the following does not show the Commutative Property ?
Pls solve this
A) 16
B) 8
C) 4
D) 2
Pier 1 Imports is running a 10% sale on furniture. If Amanda spent $378.99 on furniture before tax, what was the price of the furniture before the discount and tax?
Answer:
$421.10
Step-by-step explanation:
If the discount is 10%, that means the sale price is 90% of the original price.
Write the equation that represents that:
378.99 = 0.9x. Solve for x. Divide both sides by 0.9
378.99/0.9 = 421.10
That is the price before the discount and tax.
PLEASE ANSWER ILL MARK BRAINLIEST ONLY IF YOUR RIGHT
Answer:
C. (-1,2)
Count where the intersection is.
Go backwards one (-1) on the x-axis, and go up two on the y-axis (2).
Answer:
(-1,2)
Step-by-step explanation:
They intersect on the 1st dash on the x axis
and 2nd dash on the y axis
What is the slope of the line below?
(2, 2)
(1,-1)
A. negative
B. positive
C. Zero
D. undefined
Simplify the expression by combining like terms 18z +9z
Answer:
z(18+9)=z*27=27z
Step-by-step explanation:
Answer:
(18+9)*z=27z
Step-by-step explanation:
Daniel walked 2/5 mile in 1/4 hour. How fast did he walk, in miles per hour?
Answer:
Step-by-step explanation:
[tex]v=\frac{d}{t}\\ \\ v=\frac{\frac{2}{5}}{\frac{1}{4}}\\ \\ v=\frac{2}{5}\left(\frac{4}{1}\right)\\ \\ v=\frac{8}{5}\\ \\ v=1.6\ \frac{mi}{hr}[/tex]
V=1/3pir2h h = what ?
Answer:
(3/1)V=(3/1)(1/3pir^2h) 3V=pir^2h (1/pi)(3V)=(1/pi)(pir^2h) 3V/pi=r^2h (1/r^2)(3V/pi)=(1/r^2)(r^2h) 3V/pir^2=h . Check by plugging (h=3V/pir^2)
Step-by-step explanation:
A scale drawing for a plot of land is shown below.
In the drawing, 3 cm represents 5 m.
Assuming the backyard is rectangular, find the area of the real backyard.
Answer:
area=150cm square
Step-by-step explanation:
l=3 cm ,b=5m=50cm
area of rectangle=3×50
area=150cm square
what is the integer -5/12 x -6/35= ?
Step-by-step explanation:
[tex]( - \frac{5}{12} )( - \frac{6}{35}) \\ = ( \frac{5}{12} )( \frac{6}{35} ) \\ = ( \frac{5}{35} )( \frac{6}{12} ) \\ = ( \frac{1}{7} )( \frac{1}{2} ) \\ = \frac{1}{14} [/tex]
1. To earn some extra money, Ben mows lawns for people in his neighborhood.
He earns $18 per lawn and has saved $200 for the season.
Write an algebraic equation to represent this situation.
Use your equation to determine how much Ben will earn for 21 lawns.
2.Bubba is trying to gain weight. He eats a 400 calorie breakfast each day then eats snacks all day. Each snack is 120 calories.
Write and solve an equation for the number of snacks eaten.
Solve for if bubba consumes 3,160 calories today.
Answer:
1. 18x+200
If x=21, answer: 578$
2. (3160-400)/ 120=x
x=23
Step-by-step explanation:
I’m having trouble trying to answer this question what is 68×70 this app it helps you work it gives you answers it’s not a cheating thing I should have said that
Answer:
4760.
Step-by-step explanation:
68 x 10: 680
680 x 7: 4760
Answer:
4760
Step-by-step explanation:
6. ¿Cuál de los siguientes polígonos tiene el mayor área? A. Un rectángulo que mide 3.25 pulgadas de ancho y 6.1 pulgadas de largo.
B. Un cuadrado con lado de longitud 4.6 pulgadas.
C. Un paralelogramo con una base de 5.875 pulgadas y una altura de 3.5 pulgadas.
D. Un triángulo con una base de 7.18 pulgadas y una altura de 5.4 pulgadas.
Answer:
1.A
Step-by-step explanation:
yan po ang Tama po ang sagot..ko
3. Technology required. Gateway Arch in St. Louis, Missouri, is 630 feet tall. Priya can look
up at a 50 degree angle to see the top of the arch. How far away from the base of the
arch is she standing?
Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.
What is trigonometry?In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
Given parameters:
Height of the Gateway Arch in St. Missouri = 630 feet.
Priya have to look up at a 50° angle to see the top of the arch.
Now from definition of tanθ in trigonometry:
tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri
hence, distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷ tan50°
= 630 feet ÷ tan50°
= 528.63 feet.
Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.
Learn more about trigonometry here:
https://brainly.com/question/29002217
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Oliva buys a 5-piece living room set from a furniture store offering 0% interest for 9 months. Calculate the average monthly payment she should make to avoid paying deferred interest charges for the $4,999 set.
A.
$277.72
B.
$416.58
C.
$555.44
D.
$833.17
A growth-mindset researcher plans to take an SRS of 200 teenagers from the population of teenagers in North America to see what proportion of teenagers sampled are pursuing a goal they have set for themselves. Suppose that 75% of teenagers in North America are pursuing a goal they have set for themselves. Let p represent the proportion of a sample of 200 teenagers in North America who are pursuing a goal they have set for themselves. What are the mean and standard deviation of the sampling distribution of p?
Answer:
The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
75% of teenagers in North America are pursuing a goal they have set for themselves.
This means that [tex]p = 0.75[/tex]
Sample of 200.
This means that [tex]n = 200[/tex].
What are the mean and standard deviation of the sampling distribution of p?
By the Central Limit Theorem
Mean [tex]\mu = p = 0.75[/tex]
Standard deviation [tex]s = \sqrt{\frac{0.75*0.25}{200}} = 0.0306[/tex]
The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.
Travis's income is $7200a month, and he plans to budget 1/2 of his income for rent and 1/6 of his income for electricity.What fraction of his income does he plan to spend each month on these two items together? Express your answer in lowest terms.
Answer:
Travis plans on spending 2/3 of his income which is $4800
Step-by-step explanation:
1/2 = 3/6 and 3/6 + 1/6 = 4/6 and 4/6 = 2/3
Answer:
2/3
Step-by-step explanation:
7200 / 2 = 3600 rent
7200/ 1/6 = 1200 electricity
3600 +1200 = 4800
4800/7200 = the same as simplified 48/72
We know our 12x table = 4/6
We can simplify 4/6 as 2/3
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
$56.10
Step-by-step explanation:
Answer:
$8.50
Step-by-step explanation:
Solve the following rational equation for x.
2x-3/5 = x-2/4
Answer:
x=0.1
Step-by-step explanation:
4/5x 2 1/3
Simplify and write the steps thanks:)
Decrease £19064.67 by 9.5%
Give your answer rounded to 2 DP.
Answer:
New amount (decrease) = £17253.53
Step-by-step explanation:
Given the following data;
Amount = £19064.67
Percentage = 9.5%
To find the percentage decrease;
[tex] Percentage \; cost = \frac {9.5}{100} * 19064.67 [/tex]
[tex] Percentage \; cost = 0.095 * 19064.67 [/tex]
Percentage cost = £1811.14
New amount (decrease) = Original amount - percentage cost
Substituting into the equation, we have;
New amount (decrease) = £19064.67 - £1811.14
New amount (decrease) = £17253.53
2 points
4. In 2016, a school started its own aquarium with x fish. In 2019, there
were x^2 fish in the same aquarium. There were 144 fish in 2019. How
many fish were there in 2016? Show your work *
Answer:
171 fish
Step-by-step explanation:
512/3=170.667 (keeps going on but I just rounded it to add 1 to the total of 170) so that is why 171 is the answer.
1. Use the Pythagorean
Theorem to determine if a
triangle with side lengths 6ft.,
6ft., 8ft. is a right triangle.
Answer:
Not a right triangle
Step-by-step explanation:
[tex] {6}^{2} + {6}^{2} = 36 + 36 = 72...(1) \\ \\ {8}^{2} = 64....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ {6}^{2} + {6}^{2} \neq {8}^{2} \\ \\ [/tex]
Hence, triangle with side lengths 6ft.,
6ft., 8ft. is not a right triangle.