What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?

12
15
17
18

Step-by-step explanation:

AOD - since it forms a triangle and the sides of the triangle are radius of circle they are equal so ADO = DAO. to find AOD: 180⁰-36⁰-36⁰=108⁰.

ODC - first we find DOC :180⁰-108⁰=72⁰.since the other 2 sides of the triangle are equal we can find ODC by : 180⁰=72⁰+2x

2x=180⁰-72⁰

2x=108⁰

x=108⁰/2

x=54⁰

the other 3 right now i dont have an idea but if i think of it later i will comment it here.

ABC -its 120⁰ because it forms Z angles with CEF

CFD -first we find ODE which we do by : 90⁰-54⁰=36⁰. Then we find CED by : 180⁰-120⁰=60⁰.Then we find DCE by: 180⁰-36⁰-60⁰=84⁰.Then we find ECF by :180⁰-54⁰-84⁰=42⁰.And now we find CFD by : 180⁰-120⁰-42⁰=18⁰.

CAB -first we find BCA by : 180⁰-54⁰-84⁰=42⁰ or you can say it is equal with ECF because they are opposites of the same point.Then to find CAB we : 180⁰-120⁰-42⁰=18⁰ or you can say it is equal to CFD because they form Z angle.

Answer:

Kindly check attached picture

Step-by-step explanation:

Given the data:

65 72 68 64 60 55 73 71 52 63 61 74

69 67 74 50 4 75 67 62 66 80 64 65

The box and whisker plot generated from the data above can be found in the picture below : The asterisked point on the plot is the value of the Outlier.

Using calculator :

Q1 = 61.25 Q2 = 65.5 ; Q3 = 71.75

IQR = Q3 - Q1 = 71.75 - 61.25 = 10.5

Lower limit: Q1 − 1.5 * (IQR)

61.25 - 1.5(10.5)

61.25 - 15.75 = 45.5 (all values below 45.5)

Upper limit: Q3 + 1.5 * (IQR)

71.75 + 1.5(10.5)

71.75 + 15.75 = 87.5 (all values above 87.5)

Hence, the box and whisker plot summary :

Sample size: 24

Median: 65.5

Minimum: 4

Maximum: 80

First quartile: 61.25

Third quartile: 71.75

Interquartile Range: 10.5

Outlier: 4

Answer:

N = -3.36

Step-by-step explanation:

5.6 x N= 2.24

-5.6          -5.6

N= -3.36

Answer:

N= 0.4

Step-by-step explanation:

5.6 x N= 2.24

Divide both sides by 5.6

5.6 and 5.6 cancel out

2.24/5.6= 0.4

Check your work

5.6 x 0.4 =2.24

0.4 is correct

Hope this helps ^-^

Answer:

58.24

Step-by-step explanation:

9.1 x 6.4 = 58.2!!

bh = a

hope I helped

Answer:

58.24 :)

A=bh=9.1·6.4=58.24

Answer:

4 lados y se llaman adjacent sides (eso es una palabra en ingles)

Step-by-step explanation:

yo lo se ,espero que esto te ayudo :)

que tengas un buen dia<3

Answer:

0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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]

18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American.

This means that [tex]p = 0.18, n = 100[/tex]

So, by the Central Limit Theorem:

[tex]\mu = 0.18, s = \sqrt{\frac{0.18*0.82}{100}} = 0.0384[/tex]

How likely is the resulting sample proportion to be between 0.066 and 0.294?

This is the pvalue of Z when X = 0.294 subtracted by the pvalue of Z when X = 0.066. So

X = 0.294

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.294 - 0.18}{0.0384}[/tex]

[tex]Z = 2.97[/tex]

[tex]Z = 2.97[/tex] has a pvalue of 0.9985

X = 0.066

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.066 - 0.18}{0.0384}[/tex]

[tex]Z = -2.97[/tex]

[tex]Z = -2.97[/tex] has a pvalue of 0.0015

0.9985 - 0.0015 = 0.997

0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294

Answer:

Mikhail = 22

Step-by-step explanation:

Mikhail = x

Gabrielle = x-9

x+x-9=35

2x=35+9

2x=44

x=22

Answer:

x^2 - 100 = (x + 10) * (x - 10)

Step-by-step explanation:

Recall that 100 is the perfect square of 10:

10^2 = 100

then we can use the formula for factorization of a difference of squares:

x^2 - 10^2 = (x + 10) * (x - 10)

Answer:

How many people on this block pay someone to mow their lawn.

Step-by-step explanation:

Answer:

Let's say that x is sam's age and y is Amy's age

x=y-4

and five years ago:

x-5=(y-5)/2

y-4-5=(y-5)/2

2y-18=y-5

y=13

x=9

then:

sam's age is 9 and Amy's age is 13

Answer:

Sam: 9, Amy: 13

Step-by-step explanation:

So five years ago, lets say Sam was 4, and Amy was 8. That would be half Amy's age. If we add on 5 to Sams age, as it says, Amy would then be 13, and Sam would be 9. This is also four years apart. Thus, the answers are Sam: 9 and Amy: 13

Answer:

47

Step-by-step explanation:

substitute the value of 5 in for c and 7 in for d;

(5) + 6(7)

5 + 42

47

Answer:

(-3, 4)

Step-by-step explanation:

Answer:

136 people

Step-by-step explanation:

$462.40 divided by 3.40 is 136

Answer:

Y axis

Step-by-step explanation:

Dont have a explanation

Answer:

Fourth option: y = 2/5x - 3

Step-by-step explanation:

it is perpendicular :)

Answer:

Your answer y=-5/2x + 6

Mark it as brainlist answer. As soon as possible.

Answer:

1. 9 minutes

Step-by-step explanation:

1. If she runs 5 miles in 45 minutes, you have 5 miles = 45 minutes. If you divide both sides of this ratio by 5, you get 1 miles = 9 minutes

2. Find out how many each person sells per week:

Emily: 4 boxes = 2 weeks

divide both sides by 2

2 boxes = 1 week

Jose: 9 boxes = 3 weeks

divide both sides by 3

3 boxes = 1 week

This means that jose sells more, because 3 boxes > 2 boxes

Answer:

C,D,F

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3/8

1/4× 2

3/8

-2/8

1/8

if that makes sense to you.

Answer:

8125t^2-11250t^2+5625 greater than or equal to > 100

Step-by-step explanation:

PLATO

Answer:

8 hours and 175 minutes.

Step-by-step explanation:

So first add all the hours together: 2 + 2 + 1 + 2 + 1 = 8 Hours.

Then add all the minutes together: 17 + 48 + 53 + 19 + 38 = 175 Minutes.

Therefore, the team's score is 8 hours and 175 minutes.

I hope this helped!

Answer: 11hours 55minutes

Answer:

Question 1: 21

Question 2: 6

Question 3: -3

Question 4: 9

Answer:

Answer A represents this

x <= -3  ;  x > 9

Step-by-step explanation:

Isolate x on each of the inequalities:

4 x + 4 <= - 8

subtract 4 from both sides

4 x <= - 12

divide both sides by 4 to isolate x completely (notice 4 is positive, so there is NO flipping of the inequality symbol)

x <= -3

This inequality is represented by shading the left section of the number line starting at x = -3 (make sure you draw a SOLID dot to mae clear that the point x = -3 is also included in your drawing.

The other inequality:

11 x - 11 > 88

add 11 to both sides

11 x > 99

divide both sides by 11 to isolate x (notice again that 11 is a positive number, so the inequality doesn't change with the division)

x > 9

This inequality is represented by shadowing the right hand side of the number line starting at x = 9. Make sure you draw an EMPTY dot on the number 9 to indicate that x = 9 is NOT included.

Answer:

1A. y=13

1B. Top and bottom angle are 124 and side angles are 56

2A. y=15

2b. Left angle = 80 Right angle = 100

Step-by-step explanation:

1 equal both equations together then solve for y. plug in y to get the angles

2 add both equations together then equal it to 180 degrees then solve for y. plug in y to get the angles

Step-by-step explanation:

For 1A

2y + 98° = 9y + 7° < being vertically opposite angles >

9y - 2y = 98° - 7°

7y = 91°

y = 13°

For 1B

9y + 7° = 9 * 13° + 7° = 124°

2y + 98° = 2 * 13° + 98° = 124°

The angles which are unknown are also vertically opposite angles so let unknown angles be x then

124° + 124 ° + x +x = 360° { being complete turn }

248° + 2x = 360°

2x = 112°

x = 56°

so all angles are 124° , 124° , 56°, 56°

For 2A

6y - 10 + 6y + 10 = 180° ( being linear pair)

12y = 180°

y= 15°

For 2B

6y - 10 = 6 * 15 - 10 = 80°

6y + 10 = 6 * 15 + 10 = 100°

Hope it will help :)

Answer:

2.72/3=0.907 (correct to three decimal places)

Step-by-step explanation:

Answer: D) Qualitative data is not collected by instruments, it is just observations

Quantitative data deals with numeric values, which is collected by instruments usually. For example, if you're weighing various rocks, then each numeric weight value is part of the quantitative data set. The color of each rock would be qualitative data as you simply look at the rocks and record the color. It will depend on what question you're trying to answer as to whether quantitative data or qualitative data is more useful. Sometimes you may need both types.

Answer:

20 people

Step-by-step explanation:

i did the test <3