In triangle QRS, what is the approximate measure of angle Q?
OA. 87.7°
O B.93.2°
OC. 96.9°
OD. 45.99
The approximate measure of angle Q will be 93.2°. Then the correct option is B.
What is law of cosine?Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
In a triangle QRS, the length of QR is 21, the length of RS is 32, and the length of SQ is 23.
Then the approximate measure of angle Q will be given as,
RQ² + SQ² – 2 × SQ × RQ × cos Q = RS²
21² + 23² – 2 × 23 × 21 × cos Q = 32²
441 + 529 – 966 cos Q = 1024
970 – 966 cos Q = 1024
966 cos Q = – 54
cos Q = – 54 / 966
cos Q = – 0.0559
Q = 93.2°
The approximate measure of angle Q will be 93.2°.
Then the correct option is B.
Learn more about law of cosines here:
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find the arthmetic and the geometric means of 4 and 9
Answer:
Step-by-step explanation:
first term (a) = 4
last term (b) = 9
Arithmetic mean (AM)
= ( a + b) / 2
= ( 4 + 9 ) / 2
= 13/2
= 6.5
Geometric mean (GM)
= √a *b
=√4 * 9
=√36
= 6
hope it helps :)
A coin is flipped 150 times. The results of the experiment are shown in the following table:
Heads Tails
84 66
Which of the following statements best describes the experimental probability of getting heads?
Group of answer choices
It is equal to the theoretical probability.
It is 6% lower than the theoretical probability.
It is 6% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.
Answer:
The answer would be C. It is 6% higher than the theoretical probability.
Answer:
The correct answer is C. It is 6% higher than the theoretical probability.
Step-by-step explanation:
This is correct, I took the test.
how to write 1 896 025
in words
Answer:
one million eight hundred ninety-six thousand twenty-five
Type your answer and describe how
you found the answer
ROSS is a museum tour
guide at the Art Museum.
He charges $35 per person
for a 1 hour tour. He
typically has 54 people on
tours during the week. His
expenses for the week are
approximately
$108.63.
What is the amount of
profit that Ross will make?
Answer:
Ross's profit it 1,781.37
Step-by-step explanation:
$35 per person and 54 people= 35x54=1890
Profit= the amount of money he makes after his expenses.
1890-108.63=1781.37
A recipe for lemonade requires 10 parts of water to
every 6 parts of lemon juice. How many cups of
water should be added to 30 cups of lemon juice
to make the lemonade?
Does anyone know this ??
Answer:
50 cups water
Step-by-step explanation:
10 cups water = 6 cups lemon juice
x cups water = 30 cups lemon juice
To get from 6 to 30, we needed to do x5, so lets do that for 10 as well.
10x5 cups water = 30 cups lemon juice
50 cups water = 30 cups lemon juice
HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY
(10x - 4) ÷ 5 = 20 what is x
Answer: 10.4
Step-by-step explanation:
(10x - 4) ÷ 5 = 20
* 5 * 5
10x - 4 = 100
+ 4 + 4
10x = 104
/ 10 / 10
x = 10.4
Flip two coins 200 times how many times will coins match
Answer:
in all about 70
Step-by-step explanation:
!!!!I REALLY NEED HELP!!!!!
Which of the following statements uses communicative property of multiplication?
A.8x4=4x8
B.2x(9x5)=(2x9)x5
C.1x10=10
D.7x0=0
according to me it's both a and b cause the product is not changing even after we are changing the order of the numbers
(Need help ASAP, I’m taking a test) A researcher is 95% confident that the interval from 5.09 to 10.13 captures x = the true mean amount of
times models change clothes during a fashion shoot.
Is it plausible that the true mean number of times for all models to change clothes during a fashion shoot may
be 102
No, this is not a plausible value for the population mean, because 10 is within the 95% confidence interval
No, this is not a plausible value for the population mean, because 10 is not within the 9596 confidence
interval
Yes, this is a plausible value for the population mean, because 10 is within the 95% confidence interval
Yes, this is a plausible value for the population mean, because 10 is only a little bit above the upper
boundary of the 95% confidence interval.
Answer:
See below
Step-by-step explanation:
If a proposed value is outside the confidence interval, it is not a plausible value because the interval never catches it. So B is your best choice.
Answer:
C is correct
Step-by-step explanation:
Marc is a pharmacist and has documented the number of pills for the last 20 prescriptions he has filled. The data he recorded is in the table below. Assuming that Marc continues to fill prescriptions with number of pills that follow the same proportions, which of the following statements are true? Number of pills Prescriptions 101010 444 202020 444 303030 444 404040 555 505050 333 Total 202020 Choose all answers that apply: Choose all answers that apply: (Choice A) A In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills. (Choice B) B The most likely number of pills in the next prescription that Marc fills is 40. (Choice C) C The expected number of pills in the next prescription that Marc fills is 29.5, point, 5. (Choice D) D The expected total number of pills in the next 20 prescriptions that Marc fills is 680.
Answer:
All except the one that ends with 680, so SELECT THE FOLLOWING:
✓In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills.
✓The most likely number of pills in the next prescription that Marc fills is 40.
✓The expected number of pills in the next prescription that Marc fills is 29.5.
Step-by-step explanation:
I did it on Khan for an exam.
Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.3 unitsmL. Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 unitsmL. Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal plac
Answer:
The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 3.3 units/mL
This means that [tex]\mu = 3.3[/tex]
Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 units/mL.
This means that when [tex]X = 5.9[/tex], Z has a pvalue of 0.98. So Z when X = 5.9, has a pvalue if 0.98, that is, Z = 2.054. We use this to find [tex]\sigma[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{5.9 - 3.3}{\sigma}[/tex]
[tex]2.054\sigma = 2.6[/tex]
[tex]\sigma = \frac{2.6}{2.054}[/tex]
[tex]\sigma = 1.2658[/tex]
The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.
A(x): x²+nx+m Hallar n y m para que A(x) admita raíz -4 y el resto de dividir A(x) por (x-1) sea -20
The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.
Answer:
45
Step-by-step explanation:
1/2×9×10
since the formula says half base times height, so therefore
Area =45
Hector's income is 78,000 dollars per year (52 weeks).
How much money does he make weekly?
Answer:
1,500.00
Step-by-step explanation:
Assuming 52 weeks in a year, you would make $1,500.00 per week.
Answer:
$1500
Step-by-step explanation:
Here, the question asks what hector's income per week is.
- Keep in mind that if you are asked what something is per unit, you will most likely need to divide. Example: This problem. See below for answer and explanation.
- If a question asks what something is of a unit, you will most likely need to multiply. Example: 1/4 of a pizza with 4 slices (1 slice). To solve this, you will have to multiply 1/4 to 4. But never mind this, let's focus at this problem.
The bullet points above essentially explain what you have to do here. To find Hector's income, you have to do 78000/52. The answer to this is 1,500 ($1500).
I hope this helped :)
PLEASE HELP
will mark brainliest
Answer:
Sorry about last time I didnt answer correct hopefully you can forgive me but this one I know 100% its C hope that helps.
Does 23^-1 (mod 1000) exist? If yes solve it.
Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).
Let x be the inverse. Then x is such that
23x ≡ 1 (mod 1000)
Use the Euclidean algorithm to solve for x :
1000 = 43×23 + 11
23 = 2×11 + 1
→ 1 ≡ 23 - 2×11 (mod 1000)
→ 1 ≡ 23 - 2×(1000 - 43×23) (mod 1000)
→ 1 ≡ 23 - 2×1000 + 86×23 (mod 1000)
→ 1 ≡ 87×23 - 2×1000 ≡ 87×23 (mod 1000)
→ 23⁻¹ ≡ 87 (mod 1000)
True or False? Please help!!
What is the mean of the data set below?12, 11, 14, 14, 14, 12, 7
What is the value of x?
30
v
O 45
T
(3x) °
O 55
-40
R
O 60
w
Intro
Answer:45
Step-by-step explanation:
The value of x by the given data is 190/3 or 63.33
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The angles between the lines
Now,
To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:
30° + (3x)° + (-40)° = 180°
Simplifying, we get:
(3x)° - 10° = 180°
Adding 10° to both sides, we get:
(3x)° = 190°
Dividing both sides by 3, we get:
x = 190/3
Therefore, by algebra the answer will be 190/3 or 63.33.
More about the Algebra link is given below.
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1
1 unit
Area of the rectangle:
Area of the triangle:
Area of the figure:
O square
units
square units
square units
Find the value of x.
Answer:
x = 33
Step-by-step explanation:
Like the previous question we are going to imagine that the only angle there is angle "x"
Angle "x" is now an inscribed angle and it's intercepted arc has a measure of 66 degrees.
Now remember that an inscribed angle is equal to half of its intercepted arc.
This means that x = half of 66
[tex]\frac{66}{2} =33[/tex]
Hence, x = 33
NOOOO LINKS FILES
At a contest, each diver was scored on a 1-10 scale for each of 8 divee. This data set shows the scores earned by one of the divers
83 8 6 8 834
Which value represents the median of the data set?
A.5
B.6
C.7
D.8
Answer:
6 is the median
Step-by-step explanation:
The median is the same as the number in the middle, and the number in the middle is 6.
3. Which of the following expressions is
equivalent to 6(9 + 4)? (Lesson 7.8)
Answer:
D
Step-by-step explanation:
6(g + 4)
we distribute the 6 to the terms in the parenthesis.
(6 × g) + (6 × 4)
(6g) + (24)
6g + 24
The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes,
Required:
a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
b. State the null and alternative hypotheses for the test.
Answer:
a) The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.
b) The null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]
Step-by-step explanation:
Finding the confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.98[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{2.1}{\sqrt{53}} = 0.67[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.94 - 0.67 = 4.27 minutes
The upper end of the interval is the sample mean added to M. So it is 4.94 + 0.67 = 5.61 minutes.
a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.
b. State the null and alternative hypotheses for the test.
Testing if there is evidence to say that the mean wait time for customers is longer than 4.50 minutes, which is the alternate hypothesis.
So the null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]
20 points!! please help me with this :)
Answer:
The third graph
Step-by-step explanation:
y intecepts at (0, 4) and (0, 12)
the slopes are up 1 over 3 and up 3 over 1
Triangle RST was dilated with the origin as the center of the dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34.
The lengths of the sides of triangle RST are given.
Enter the lengths of the sides of the triangle R'S'T' below.
(Decimal values may be used.)
RS=8 units
R'S'=
units
ST=10 units
S'T'=
units
RT=12 units
R'T'=
units
NO SCAMMERS ALLOWED
ANSWER: R=6
S= 7.5
T=9
The height of a triangle is 2x and the base is x + 7. Write an expression that represents the area of the triangle.
Answer:
x^2 +7
Step-by-step explanation:
1/2×(x+7)(2x)
2x^2 + 14x/2
2(x^2+7)/2
=x^2 +7
How often should I study math per week?
I usually study every day but that's really tiring for me
I know this isn't the perfect place to put this question but I have no one else to ask sooo
Step-by-step explanation:
math is all about repetition. the more you do it and use it, the easier it gets. but burning yourself out by putting in to much time is no good either.
there is not a one sized fits all answer, do what's best for you.
Answer:
I'd say 20 minutes to 4 hours, but it really depends on what you're learning. For example, if you're having trouble with a math subject, you may want to divide it in half and practice a little each day.
Step-by-step explanation: