Answer:
12.5
Step-by-step explanation:
0.5x25=12.5. FILLER
adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°
Answer:
i. 82°
ii. 14°
iii. 28°
iv. 47°
v. 58°
Step-by-step explanation:
The trigonometric functions are given as:
Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Thus,
i. adjacent leg / hypotenuse = 0.139 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.139
= 82°
ii. opposite leg / adjacent leg = 0.249 = Tan θ
θ = [tex]Tan^{-1}[/tex] 0.249
= 14°
iii. opposite leg / hypotenuse = 0.469 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.469
= 28°
iv. adjacent leg / hypotenuse = 0.682 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.682
= 47°
v. opposite leg / hypotenuse 0.848 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.848
= 58°
For patients who have been given a diabetes test, blood-glucose readings are approximately normally distributed with mean 127 mg/dl and a standard deviation 10 mg/dl. Suppose that a sample of 4 patients will be selected and the sample mean blood-glucose level will be computed. Enter answers rounded to three decimal places.
According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between
the lower-bound of [BLANK] and the upper-bound of [BLANK]
Answer:
Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.
Step-by-step explanation:
Empirical Rule
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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].
In this question:
Mean of 127, standard deviation of 10.
For the sample mean:
By the Central Limit Theorem, mean is 127, while the standard deviation is [tex]s = \frac{10}{\sqrt{4}} = 5[/tex]
According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between?
By the Empirical Rule, within 2 standard deviations of the mean. So
127 - 2*5 = 117 mg/dl
127 + 2*5 = 137 mg/dl.
Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.
rectangle pqrs will be translated to the point Q will be located at 8,3 .
what will be the.coordinates of point R
The coordinates of point R' are given as follows:
(8,1).
What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.The coordinates of points Q and Q' are given as follows:
Q(6,3), Q'(8,3).
Hence the translation rule is given as follows:
(x,y) -> (x + 2, y).
The coordinates of point R are given as follows:
R(6,1).
Hence the coordinates of point R' are given as follows:
(6 + 2, 1) = (8,1).
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Which of the following is a sequence?
A 3, 6, 9, 18, ...
B 3, 6, 12, 18, ..
C 0.3, 0.7, 1.3, 1.5, ...
D 0.3, 0.6, 1.2, 2.4,
Answer:
The answer of this question is D
Step-by-step explanation:
Time 2
Tom has seven blue Margaret Benny has four blue how many blue mop with two they have in all
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
7+4=11
Given: ΔSTQ
ST=TQ
SD⊥TQ
m∠1=32°
find: m∠S, m∠T, m∠Q
Answer:
∠ S = 58° , ∠ T = 64° , ∠ Q = 58°
Step-by-step explanation:
the sum of the 3 angles in Δ DQS = 180° , that is
∠ Q + ∠ 1 + 90° = 180°
∠ Q + 32° + 90° = 180°
∠ Q + 122° = 180° ( subtract 122° from both sides )
∠ Q = 58°
given ST = TQ , then Δ STQ is isosceles with base angles congruent, that is
∠ S = ∠ Q = 58°
the sum of the 3 angles in Δ STQ = 180° , that is
∠ T + ∠ S + ∠ Q = 180°
∠ T + 58° + 58° = 180°
∠ T + 116° = 180° ( subtract 116° from both sides )
∠ T = 64°
The following dot plots compare the height of the members of the basketball team and the swimming team.
Determine the mean, median, mode and range for the dot plot. Show your work.
(2pts) Mean:
(2pts) Median:
(1pt) Mode:
(2pts) Range/Spread:
I'm not confident with the Mean but the rest should be correct.
Mean - 709.6 ( All numbers added up then, divided by the numbers there are)
Median - 65 ( Number in the middle)
Mode - 65 ( Most repeated number)
Range - 8 ( Greatest number - Smallest number)
In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?
Answer:
12
Step-by-step explanation:
Corbin can shoot 24 baskets In 3 minutes. Which table best
represents this relationship?
Answer:
Table CStep-by-step explanation:
This is the proportional relationship:
y = kxWe have x = 3, y = 24, then k is:
24 = 3k k = 8The table will look as:
x = 1 ⇒ y = 1*8 = 8x = 2 ⇒ y = 2*8 = 16x = 5 ⇒ y = 5*8 = 40Correct choice is C
Answer:
c
Step-by-step explanation:
F(x)=-x^2 find f(3)……………………………
Answer:
- 9
Step-by-step explanation:
[tex]F(x)=-x^2 \\ \\ plug \: x = 3 \\ \\ F(3)=-(3)^2 \\ \\F(3) = - 9[/tex]
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
I believe its c
Step-by-step explanation:
Answer:
(4, -11)
Explanation:
The coordinate's signs just change (negative becomes positive and vise versa)
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,025 and a standard deviation of $230. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 60 one-bedroom apartments and finding the mean to be at least $1,955 per month
Answer:
The probability is "0.9908". The further explanation is provided below.
Step-by-step explanation:
The given values are:
Mean,
[tex]\mu=2025[/tex]
Standard deviation,
[tex]\sigma =230[/tex]
Sample,
[tex]n=60[/tex]
According to the question,
The probability of selecting a sample of 60 one-bedroom apartments will be:
= [tex]P(\frac{\bar{x}- \mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{1955-2025}{\sqrt{\frac{230}{\sqrt{60} } } } )[/tex]
= [tex]P(Z\geq -2.36)[/tex]
= [tex]1-P(Z \leq -2.36)[/tex]
After placing the values, we get
= [tex]0.0092[/tex]
or
= [tex]09908[/tex]
Tim played soccer for 55 minutes this afternoon. He started at 3:20. What time did he finish?
functions A and B are shown in the equation and graph. select the true statement.
Kim and Courtney share a 16oz box of cereal. By the end of the week, Kim has eaten 3/8 of the box and Courtney has eaten 1/4 of the box of cereal. What fraction of the box is left?
Answer:
3/8 of the box is left.
Step-by-step explanation:
Answer:
3/8 is left over
Step-by-step explanation:
First we have to convert 1/4 to 3/8 to do this times 1/4 by two to get 2/8
Next add 3/8 and 2/8 which equals 5/8
Finally, we need to subtract 5/8 from 8/8 to get 3/8
Hope this helped!!
Xander needs to collect at least 180 cans for a food drive to earn community service credit. He has already collected 64 items. describe in words
fill in the blanks
[tex] {(x + 3)}^{2} - x - 3 = (x + 3) \times ............[/tex]
please answer my question I will mark you as brainliest and I will follow you
Answer:
Step-by-step explanation:
(x + 3)² - x - 3 = (x +3 )² - (x + 3)
= (x +3)(x + 3) - (x + 3)*1
= (x + 3) [ x + 3 - 1]
= (x + 3 (x + 2)
couch Emanuel is trying to lose weight. he starts 2017 weighing 296 pounds. If he plans to burn enough calories to lose 3 pounds per week, then how many weeks will pass before Coach Emanuel is at most 251 pounds
Will give brainlist for once in my life
Answer:
15 weeks
Step-by-step explanation:
I just answered this one not too long ago
It will take 15 weeks for Emanuel to lose at most 251 pounds.
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, Emanuel is trying to lose weight, he starts 2017 weighing 296 pounds.
If he plans to burn enough calories to lose 3 pounds per week,
We need to find that how many weeks will pass before Emanuel is at most 251 pounds,
So, let the number of weeks be x,
We will use here the concept of equations solving,
So, establishing the equations,
296 - 3x = 251
296 - 251 = 3x
45 = 3x
x = 15
Hence, it will take 15 weeks for Emanuel to lose at most 251 pounds.
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Corresponding Angles are congruent.
Which angle corresponds with <3?

Answer:
<5
Step-by-step explanation:
angle correspondant
10111011/111 binary division
Answer:
91090.1891892
Step-by-step explanation:
rounded it would be 91090
Yolanda painted 2/5 of a wall in 40 minutes. If she keeps painting at the same rate, how much longer will it take her to finish painting the wall
Answer:
60 minutes
Step-by-step explanation:
She painted 2/5 of the wall.
She still needs to paint 3/5 of the wall.
3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.
1.5 * 40 minutes = 60 minutes.
Answer: 60 minutes
Pls help me complete this
Answer: The number of times a yellow cube will be drawn is 390 times.
Step-by-step explanation: Like the last question with the blue cubes, set up a ratio.
Since it is still 240 times drawn and we need to figure out how many times a yellow cube will be drawn from 1200 times, the top number only changes.
78/240 = x/1200
Multiply 78 and 1200, which is 93,600.
Divide that by 93,600, which is 390.
HELP AHHHHHHHHHHHHHHHH
Answer:
y = 3x+4
Step-by-step explanation:
slope formula is changes of y over the changes of x
[tex] \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]
m is slope in y = mx+b.
Substitute the coordinate points in.
[tex] \large{m = \frac{7 + 2}{1 + 2} } \\ \large{m = \frac{9}{3}} \\ \large{m = 3}[/tex]
Since we know the slope, we rewrite by substituting m = 3 in the slope-intercept form.
[tex] \large{y = mx + b} \\ \large{y = 3x + b}[/tex]
Then we either substitute one of given coordinate points to find the value of b. I will substitute (1,7) in the equation.
[tex] \large{7 = 3(1)+ b} \\ \large{7 = 3 + b} \\ \large{7 - 3 = b} \\ \large{4 = b}[/tex]
Then rewrite the equation from y = 3x+b by substituting the value of b.
[tex] \large{y = 3x + b} \\ \large{y = 3x + 4}[/tex]
Name the marked angle in 2 different ways.
Answer:
Angle QOP
Angle QON
Note : O is the vertex
So it should be placed in the middle when you write .
Patel bought a model rocket kit from a catalog. The
price of the kit was $125. A $10 charge for shipping will
be added. Patel received an allowance of $20 per
week. How many weeks will it take him to purchase
the kit?
Answer:
7 weeks
Step-by-step explanation:
add 10 to 125 then divide by 20
Answer: he will need to save to 7 weeks
Step-by-step explanation:
125+10=135
he needs 135 to get the kit
y=20x
135=20x
6.75=x
he will need to save to 7 weeks
A piano teacher has 4 1/2 hours available to teach in a night. Each lesson will last 1 1/2 hours. How many lessons can the teacher schedule in a night?
Answer:
3 lessons
Step-by-step explanation:
available hours: 4 hrs 30 min
time per lesson: 1 hr 30 min
2 lessons is 3 hrs
which leaves even time for one more lesson after 2 lessons
So, she can schedule 3 lessons in 4 hrs in 30 min
mrs shalini asked her students to draw pictures of their home. 17/30 used color pencils and 11/30 used crayons for coloring. what fraction of the class used either color pencils or crayons?
Answer:
23/25 of the class used either color pencils or crayons
Step-by-step explanation:
56% used color pencils
36% used crayons
36% + 56% = 92%
turn 92% into a fraction = 92/100
simplify = 23/25
You want to put a 5 inch thick layer of topsoil for a new 26 ft by 27 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answer:
Step-by-step explanation:
he volume of the topsoil is
28 ft by 21 ft by 5/15 ft = 245 cubic feet
There are 27 cubic feet in one cubic yard.
245/27 = 9.074074074.... = 9.074
Need 9.25 = 9 and 1/4 cubic yards
5/8 - 1/4 simplest form
Answer:
3/8
Step-by-step explanation:
5/8 - 1/4
L.C.M =8
5-2=3
=3/8
Write the number 8.7 x 10^-6 in standard form.