Use trigonometry.
sin x = opposite ÷ hypotenuse
sin x = 7/9
Take the arcsin on both sides.
arcsin(sin x) = arcsin(7/9)
x = 51.057558731
Rounding to the nearest whole number means to round to the ones place.
Answer: x = 51 degrees
help please? thank you
9514 1404 393
Answer:
RS = √(b² +(c -a)²)
Step-by-step explanation:
Put the given point coordinates in the given formula:
R = (x₁, y₁) = (0, a)S = (x₂, y₂) = (b, c)RS = √((b -0)² +(c -a)²)
RS = √(b² +(c -a)²)
Twice the sum of a number and 7
Answer:
2 · (n + 7)Step-by-step explanation:
The sum of a number n and 7 → n + 7
Twice the sum of a number n and 7 → 2 · (n + 7)
Hi can someone who is great at math please help me with these math questions. I'm struggling with them!!
The value of x will be 18.67 for the given data of the triangle.
We have,
Thale's theorem:
When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.
Given that the sides of the triangle are divided into two parts,
For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.
The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-
x / ( x + 7 ) = 16 / 22
22x = 16x + 112
6x = 112
x = 112 / 6
x = 18.67
Therefore, the value of x will be 18.67.
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complete question;
Find the values of x and y. Find value of x.
22.62 mm = m
Plz help
0.0226 that's your answer i can't put the step b step but that's the answer.
A rectangular fish tank has a base that is 3 inches by 7inches how much water will it take to fill the tank to a depth of 5 inches
Answer:
105
Step-by-step explanation:
3x7x5
105
Help please I will Brainly
Answer:
6 cm² is correct answer
because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.
$1,300 at 5% for 6 years
Answer:
$1742.12
Step-by-step explanation:
I'm assuming it would be compounded annually so,
A = 1300(1 + 0.05)^6
A = 1742.12
Guided Practice
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = –2x + 3; (–3, 5)
A.
y = –2x + 11
B.
y = –2x – 1
C.
y = 2x + 2
Answer:
B.
y = –2x – 1
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line parallel to y = − 2 x + 3 .
y = − 2 x − 1
...............................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = − 2 x + 3 .
y = 1 /2 x + 13 /2
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.5. Find the P-value for a two-tailed test of hypothesis.
The probability of observing such an extreme result by chance alone is 0.0124.
To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.
Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.
Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:
P-value = 2 * 0.0062
P-value = 0.0124
This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.
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SOMEONE PLEASE PLEASE HELP!!!
"I have a 40% chance of being selected as the captain of the volleyball team and a 75% chance of being elected student body president." What is the probability that Cara will be selected as the captain of the volleyball team and will be elected student body president?
Answer:
30% chance of them both happening
Answer:
thats going to be and exact 85%!
I used the probability calculater on cal.net
The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17. The passing score was 111 or higher.
Use the z-table to answer the question.
What percent of students passed the midterm?
70% IS THE ANSWER
Answer:
70% is the correct answer
Step-by-step explanation:
Answer:
70% is correct
Kinu has 7 memory sticks that contain data from his computer. Some of the me
megabytes (MB), and the rest have a capacity of 512 MB. The total capacity of
system of equations shown can be used to calculate x, the number of 128 MB
512 MB memory sticks.
x + y = 7
128x + 512y = 2432
Solving the system of equations, it is found that x = 3, that is, there are 3 128 MB memory sticks.
--------------------
We want to solve for x, thus, in the first equation, we write y as a function of x, that is:
\(y = 7 - x\)
Replacing in the second equation:
\(128x + 512(7 - x) = 2432\)
\(128x + 3584 - 512x = 2432\)
\(384x = 1152\)
\(x = \frac{1152}{384}\)
\(x = 3\)
x = 3, that is, there are 3 128 MB memory sticks.
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Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal places.)
a. x=5
b. x <= 5
c. x>=6
Answer:
\(\mathbf{P(X=5) =0.0888}\)
P(x ≤ 5 ) = 0.9707
P ( x ≥ 6) = 0.0293
Step-by-step explanation:
The probability of a binomial mass distribution can be expressed with the formula:
\(\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}\)
\(\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}\)
where;
n = 8 and π = 0.36
For x = 5
The probability \(\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}\)
\(\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}\)
\(\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}\)
\(\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}\)
\(\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}\)
\(\mathtt{P(X=5) =0.0887645}\)
\(\mathbf{P(X=5) =0.0888}\) to 4 decimal places
b. x ≤ 5
The probability of P ( x ≤ 5)\(\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})\)
\({P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +\)\(\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )\)
P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888
P(x ≤ 5 ) = 0.9707
c. x ≥ 6
The probability of P ( x ≥ 6) = 1 - P( x ≤ 5 )
P ( x ≥ 6) = 1 - 0.9707
P ( x ≥ 6) = 0.0293
Can someone help me with my math homework?
Please and I will mark brainliest
College for Readiness and High School students
Answer:
Sure, I can try to help.
Step-by-step explanation:
Answer:
The discrimination is positive
Step-by-step explanation:
The graph shows the parabola with branches go up in positive y-direction. This gives you that a>0.
Since parabola has two x-intercepts, then the equation has two different solutions and the discriminant is greater than 0.
Jazmine has 4 and 2/3 fluid Ounces of coffee
creamer. She uses 1/6 fluid Ounce of
creamer in each cup of coffee. How
many cups of coffee can Jazmine make
with her creamer?
Josh ate 7/8 pizza and Jerry ate 1/2 pizza. how much more did Josh eat then Jerry
Step-by-step explanation:
6/5 this is the answer hopes this help
Given that the population proportion is 0.82, the Normal distribution will provide a good approximation to the true sampling distribution of the sample proportion as long as:________.
A) n> 13.
B) n> 30.
C) n> 56.
D) n > 100.
Answer:
Then solution as long as n ≥ 56
Step-by-step explanation:
The Normal distribution will provide a good approximation to evaluate proportion tests when the following conditions are met:
n*p₀ > 10
n*q₀ > 10
As p₀ = 0,82 q₀ = 0,18 n = 13 30 56 and 100
We test:
A) n = 13 n*q₀ = 13*0,18 = 2,34 2,34 < 10
B) n = 30 n*q₀ = 30*0,18 = 5,4 5,4 < 10
C) n = 56 n*q₀ = 56 * 0,18 = 10,08
n*p₀ = 56 * 0,82 = 45,92
D) n = 100 n*q₀ = 18
n*p₀ = 82
If we test 55 we find that 55*0,18 = 9,9
Then solution as long as n ≥ 56
A ball shaped like a sphere has a radius of 5.4 cm . Which is the closest to the volume of the ball in cubic centimeters?
A-659.58
B-371.02
C-366.44
D-494
Please help ASAP AND SHOW YOUR WORK PLEASE
Answer:
answer is A -659.58
Step-by-step explanation:
Is it rt?
Jim saved $1250 last year. If the company donated $175 in Jim's name, what percentage of a person's savings does a company donate?
Using the amount of Jim's money donated, we found that the percentage of a person's savings a company donate is 14%.
What is meant by percentage?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Frequently, it is indicated with the percent sign, "%". If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage, therefore, refers to parts per hundred. Per 100 is what the word per cent means. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.
Given, the money saved by Jim = $1250
Money donated by the company in Jim's name = $175
We are asked to find the percentage of a person's savings a company donate.
For this, we have to find what percentage of $1250 is $175.
Percentage = (Money donated / Total savings) * 100
= ( 175 / 1250) * 100 = 14%
Therefore the percentage of a person's savings a company donate is 14%.
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Help..I’m useing all my points TELL ME ALL THE AWNSERS TO THE LOWER PART
Answers:
Lazy Butcher: M E A T L O A F E R
Rubber Raft: P L A Y B U O Y
Corn Salesman: S T A L K B R O K E R
T = 6(3*4 - 5) - 9*4 = 6
U = 4 - 8(-2 -6*-1) = -28
Y = -3*-3 + 2(-5 * -3 + 1) = 41
R = -7(7 +6) + 12 = 79
F = 4(8 + 5 * -2) + 2* -2 = -12
S = -5 -3(4 - 9) = 10
E = 7 - 6(-8 + 2 * -6) + -6 = 121
P = 8 * -8 - 9 * -8 + 2(-3 * -8 - 4) = 48
K = -4(4 + 7 * 2) + 5 + 3 * 2 = -61
B = 5(--5 - 3) + 4 * -5 - 10 = -20
M = -1 + 9(4 * -1 - 2) - 6 * -1 = -49
A = 6 - 2 * 3 - 6(-3 * 3 + 7) = 12
O = -8(9 + 2 * 6) + 8 * 6 + 6 = -114
L = -1 - 5 + 5(-5 * 1 + 9) = 14
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Help help help help help
Answer:
49.12
Step-by-step explanation:
Area of triangle =1/2 x b x h
=24
semi circle =(pie rxr)divuded by 2
=25.12
so, 25.12 +24=49.12
can someone please help me with this
Answer:
-21
Step-by-step explanation: a negative times a positive will always be a negative
What is the surface area of a sphere with diameter 8 cm?
Answer:
As = 256\(\pi\) or 804.25cm
Step-by-step explanation:
By formula As = \(4\pi r^{2}\)
As = 256\(\pi\) or 804.25cm
Please help me asap, it's missing :/
Answer: -31
Step-by-step explanation:
f(x)=x²+x-12
f(-5)=(-5)²+(-5)-12
=25-5-12
=25-17
=8
now, g(x)= -2x-15
=(-2)×(8)-15
= -16-15
= -31
Apply the distributive property to factor out the greatest common factor. 56+32=56+32=56, plus, 32, equals
Answer:
8(7 + 4) = 88
Step-by-step explanation:
56:
1 x 56
2 x 28
4 x 14
7 x 8
32:
1 x 32
2 x 16
4 x 8
Answer:
8(7+4)
Step-by-step explanation:
When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip from the movie, Die Hard 3. Characters, John McClane and Zeus Carver, are challenged with getting exactly 4 gallons of water on a scale using only a 5-gallon and 3-gallon container. The clock is ticking, and they only have seconds to spare. Sylvia uses this video clip as?
When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.
A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.
Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.
The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."
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The area of the rectangle is
432 square units. If the width
is 24 units, what is the length?
Answer:
18 units
Step-by-step explanation:
Area = length * width (A = L * w)
So, in order to find the length when given the width and area, you have to divide the area by the width.
432 / 24 = 18
I hope this helps! Have a lovely day!! :)
nine divided by n plus two
Answer:
whats n?
Step-by-step explanation:
im guessing 9/1=9+2=11 idek bc u didnt give n