Answer: 7.0
Step-by-step explanation: Tan 29 = x/8 than you multiple 8 by tan 29 and you will get 7.0
The Length of BC is 4.4.
What is Trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).
Given:
B = 8
Using Trigonometry
tan 29 = P/ B
0.554 = P / 8
P = 8 x 0.554
P = 4.432
Hence, the measure for BC is 4.432
Learn more about Trigonometry here:
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A fair 10 sided dice numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 is rolled once. What is the PERCENTAGE probability that it lands on a number that is prime? *
Answer:
40% probability that it lands on a number that is prime.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
10 sided dice
So 10 total outcomes.
Prime numbers:
Of those, 2, 3, 5 and 7 are prime, so 4 of the outcomes.
4*100/10 = 40%
40% probability that it lands on a number that is prime.
What is the answer of 1/3 x 1/4
Answer:
1/12
Step-by-step explanation:
Multiply across
Hope this helps
What is 4 x 1 1/2 x 2
Answer:
Step-by-step explanation:
4×1½×2 = 4×3 = 12
25/35 and 10/14 simplified
Answer:
(25/5)/(35/5)
=> 5/7
(10/2)/(14/2)
=> 5/7
Hence both of the numbers simplify to 5/7
Hope it helps
A. 30
B.45
C. 90
D. 60
Answer:
C. 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
The ordered pairs show amounts y (in inches) of rainfall equivalent to x inches of snow.(16, 1.5), (12, 1.3), (18, 1.8), (15, 1.5), (20, 2.1),(23, 2.4) About how many inches of rainfall are equivalent to 6 inches of snow? Round your answer to the nearest hundredth, if necessary.
Answer:
0.57 inches of rainfall is equivalent to 6 inches of snow
Step-by-step explanation:
The given data are presented here as follows;
[tex]\begin{array}{cc}x&y\\16&1.5\\12&1.3\\18&1.8\\15&1.5\\20&2.1\\23&2.4\\\end{array}[/tex]
The data points are approximately linear
From the the trend line of the plotted points of the graph, created with Microsoft Excel, with Forecasting, when there is 6 inches of snow the rainfall is 0.575 inches
By linear regression, we have;
Y = a + b·X
Where;
[tex]b = \dfrac{n \cdot \sum XY - \left (\sum X \right ) \cdot \left (\sum Y \right )}{n \cdot \sum X^{2} - \left (\sum X \right )^{2}}[/tex]
[tex]a = \dfrac{\sum Y - b \cdot \sum X}{n}[/tex]
∑x = 104
∑y = 10.6
∑(x·y) = 191.7
(∑x)·(∑y) = 1102.4
(∑x)² = 10816
n = 6
SigX^2 = 1878
Plugging in the values, gives;
[tex]b = \dfrac{6 \times191.7 - 1102.4}{6 \times 1878 - 10816} \approx 0.10575[/tex]
[tex]a = \dfrac{10.6 - 0.10575 \times 104}{6} \approx -0.06637[/tex]
Therefore;
Y = 0.10575·x - 0.06637
When x = 6 inches, we have;
Y = 0.10575 × 6 - 0.06637 = 0.56813
Y = 0.56813 inches ≈ 0.57 inches of rainfall
Therefore;
0.57 inches of rainfall is equivalent to 6 inches of snow
A car manufacturer announced that next year the price of a certain model car would increase by 3.5%. This year the price is $15,649 . The increase in the price of the car is $? The new price of the car is $?
The increase will be the original price x the increase rate.
15649 x 0.035 = $547.72
The new price would be original price + increase
15649 + 547.72 = $16,196.72
Each day after school, Chelsey runs 2.8 miles farther than Kyle.
Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.
plzz help
Part B. If Kyle runs 4 miles, how many miles does Chelsey run?
Answer:
6.8 miles
Step-by-step explanation:
First, create the equation representing Chelsey's miles compared to Kyle's:
c = k + 2.8
Next, find how many miles Chelsey runs if Kyle runs 4 miles.
Plug in 4 as k into the equation:
c = k + 2.8
c = 4 + 2.8
c = 6.8
So, Chelsey runs 6.8 miles
Answer:
Question :-Each day after school, Chelsey runs 2.8 miles farther than Kyle.
Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.
plzz help
Part B. If Kyle runs 4 miles, how many miles does Chelsey run?
Solution :-Let the miles walk by Chelesy be x
Now,
x = 4 + 2.8
x = 6.8 miles
Therefore,
x = Kyle's mile walked + 2.86.8 miles[tex] \\ [/tex]
ILL GIVE 50 POINTS AND BRAINLIEST!!!
A business assistant must leave more than $50 in the supply account. There is $175 in the account. The assistant needs to order x boxes of pens that cost $6.50 each.
What is the maximum number of boxes of pens the business assistant can buy? Please show your math work and justify your answer.
Cindy has a 4-shelf bookcase in which she wants to place baskets. Each basket takes up 1/4 of the shelf. How many baskets can Cindy place on the 4 shelves?
Answer:
16
Step-by-step explanation:
One basket takes (1/4)th of the shelf.
So, in one shell, Cindy can place 4 baskets
Total number of baskets = 4 *4 = 16
You are charged $9.2 in total for a meal. Assuming that the local sales tax is 7.7%, what was the menu price of this item?
Answer:
9.91
Step-by-step explanation:
Six out of the 12 members of the school choir boys. In the simplest form, what fraction of the choir is boys? Pls help out with this question
Please help me!!!!!!!!
Answer:
They have the same domain and range (0,∞)
Step-by-step explanation:
PLEASE HELP ME AND SHOW YOUR WORK
In a survey of a community, it was found that 55%
like summer season, 20% like winter season, 40%
don't like both seasons and 750 like both seasons. By
using Venn diagram, find the number of people who
like winter season.
Answer:
The number of people who like winter season is 1000.
Step-by-step explanation:
Event event correspond to a set in the Venn diagram, and we use it to find the percentages.
I am going to say that:
Event A: Like summer season
Event B: Like winter season.
55% like summer season
This means that [tex]P(A) = 0.55[/tex]
20% like winter season
This means that [tex]P(B) = 0.2[/tex]
40% don't like both seasons
This means that 100% - 40% = 60% like at least one, which means that [tex]P(A \cup B) = 0.6[/tex]
Proportion who like both:
This is [tex]P(A \cap B)[/tex]. The measures are related by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Using what we have
[tex]P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15[/tex]
750 like both seasons.
This is 15% of the sample. So the total number of people is t, for which:
[tex]0.15t = 750[/tex]
[tex]t = \frac{750}{0.15}[/tex]
[tex]t = 5000[/tex]
20% like winter season
Out of 5000. So
0.2*5000 = 1000
The number of people who like winter season is 1000.
Can anyone help with 11-15?
Answer:
11. 1/3
12. 2/5
13. 1/4
14. 1/5
15. 1/3
Step-by-step explanation:
Divide by GCF
A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 75,342 households in the city that the median family income is $65,000, with an average of 2.9 persons-per-household, and 88% live in a single household unit. Previously, the planner had surveyed a group of 400 randomly selected households in the city. The surveyed households had a median family income of $52,000, an average of 3.2 persons per household, and 80% lived in a single household unit. 2
(a) For city planner's survey, identify the population and the sample,
Population: (Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey,
Number Parameter Statistic
The 80% of the group of randomly selected households that live in a single household unit
The average of 2.9 personer household of all the households in the city The $65,000 median family income of all the households in the city At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 600 TV's assembled in March.
Answer:
Population = 75,342 households
Sample = 400 randomly selected households
The percentage who live in a single household unit = Parameter
The average of 2.9 person per household of all households in the city = parameter
The $65,000 median family income of all the households in the city = Parameter
Step-by-step explanation:
The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.
The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.
Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.
In this exercise we have to use the knowledge of probability to calculate the chances of choosing a TV approved by the quality control, so:
400 randomly selected households
So, based on the information given in the statement, we have:
Population = 75,342 householdsSample = 400 randomly selected householdsSome parameters for this equation are:
The percentage who live in a single household unit The average of 2.9 person per household of all households in the cityThe $65,000 median family income of all the households in the cityThe inhabitants of a place refers to all the complete essential feature, attention or subject that fits into the study. In the sequence of events above, the complete household fashionable the city of study. That is, the 75,342 households.
The sample exist the subset of the inhabitants of a place that exist a tinier set of comment on something scrutinized intend expected representative of the best inhabitants of a place. The sample in this place happen the 400 carelessly picked households.
See more about statistics at brainly.com/question/10951564
Find the area of a triangle where the base is 3 3/4 in and the height is 4 inches.
what is the LCM of 3and 6
Answer:
L.c.m of 3 and 6 is 6
Answer:
Lcm of 3&6 is:
3*2 & 6*1 (DONE LIKE THIS BECAUSE THAT LCM OF 3 & 6 IS FOUND TO BE 6 AS BOTH 3 & 6 HAS THE SMALLEST COMMON MULTIPLE AS 6)
6 & 6
There fore LCM is 6
Please help!
//Thank you!
Answer:
x=9
Step-by-step explanation:
It’s 9 trust me I know it’s 9 ok it’s 9 I’m sure it’s 9 ok the answer is 9 got it 9 byee
which of these show equivalent fractions? A. 1/4=4/8 B. 1/2=2/4 C. 3/5 = 5/10 D. 2/3 = 3/6
If sin(x) = 0.4, then what is tax (x)?
Answer:
0.43
Step-by-step explanation:
x = sin^-1(0.4)
x = 23.57
tan(23.57) = 0.436
A typist type 1800 words in 1 hour. find the number of words she can type per minute.
Answer:
1800/60=30
Step-by-step explanation:
Answer:
the first answer is correct
A square garden has a diagonal of 12m. What is the perimeter of the garden? Express in simplest radical form.
Answer:
24√2
Step-by-step explanation:
Let the side of the square be x
If the diagonal is 12m (hypotenuse), then;
x^2 + x^2 = 12^2
2x^2 = 144
x^2 = 144/2
x^2 = 72
x = √72
x = √36*2
x = 6√2
Perimeter of the square garden = 4x
Perimeter of the square garden = 4(6√2)
Perimeter of the square garden = 24√2
notacion cientifica 123000000
Answer:
puro puto✌✌✌✌
Answer:
1.23× 10 ^8
Step-by-step explanation:
mark brainliest
In the rectangle below what is X
Answer:
X = 114
Step-by-step explanation:
if one corner is 33 degrees. and the opposite corner is the same then you know that makes 66 degrees.
you take that minus 180. so 66 - 180 which leaves 114.
so X is 114
Can someone help me with this? I literally cant think today. ;-; Thanks if you answer it correctly. ಥ‿ಥ
Answer:
The slope is 300
Step-by-step explanation:
Rise over run we see two points how many times do we rise and run to get there?
(Slope= rise/run)
So you rise 300 times (Since half of 600 is 300) then you run 1 time which is 300/1 which is 300
Of all ladies over the age of 50, 72% report that they color their hair to hide their gray. What is the probability
that under 70% color their hair in a group of 85 older women?
Answer:
0.3409 = 34.09% probability that under 70% color their hair in a group of 85 older women.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the Central Limit Theorem.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
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].
72% report that they color their hair to hide their gray.
This means that [tex]\mu = p = 0.72[/tex]
What is the probability that under 70% color their hair in a group of 85 older women?
For a sample of 85, we have that [tex]s = \sqrt{\frac{0.72*0.28}{85}} = 0.0487[/tex]
This probability is the pvalue of Z when X = 0.7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.7 - 0.72}{0.0487}[/tex]
[tex]Z = -0.41[/tex]
[tex]Z = -0.41[/tex] has a pvalue of 0.3409
0.3409 = 34.09% probability that under 70% color their hair in a group of 85 older women.
The length of a rectangle is twice the width. The area is 32 yd2. Find the length and the width.
W=4 ANS. FOR THE WIDTH. L=2*4=8 ANS.
Mark as brainlist
Nabil Francisco's tips from working at the hair salon were $4.50, $2.00, $3.50, $5,$8.00, and $4.50. What was his average tip?
Answer:
$4.58
Step-by-step explanation:
Add all of your numbers up.
$27.50
Divide by 6
4.58 is the average.
i hope this helps, good luck :)