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Answer:

Option (C)

Step-by-step explanation:

By the property of an exterior angle,

Exterior angle of a triangle is equal to the sum of two opposite interior angles.

(15x + 34)° = 29° + (12x + 26)°

15x + 34 = 29 + 12x + 26

15x - 12x = 55 - 34

3x = 21

x = 7

Measure of exterior angle = (15x + 34)°

                                           = 15(7) + 34

                                           = 105 + 34

                                           = 139°

Option (C) is the answer.

Answer:

3(7+x²)x-2

3x(7+x²)-2

21x+3x³-2

Answer:

70!

Step-by-step explanation:

If you divide the shape in rectangles, you'll just add it up in the end.

5 x 3 = 15

5 x 3 = 15

10 x 4 = 40

40 + 15 + 15 = 70.

Hope this helps!

Answer

The circumference  is 37.699

Hope this answer helped you!

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Step-by-step explanation:

the circumference of the circle with diameter 12cm=2π(d/2)=2×π×12/2=12πcm

Answer:

NO POSSIBLE TRIANGLES

Step-by-step explanation:

Answer:

no possible triangles

Step-by-step explanation:

Answer:

c 64 is your answer im pretty sure

Answer: 4 pounds of flour

Step-by-step explanation:

ans.................

Answer:

180 square inches

Step-by-step explanation:

First off since the square will be easiest to do

a=a^2

a=6^2

a=36

now for the triangles

a= height of triangle * base/ 2

a= 12*6/2

a= 36

and since there is 4 of the triangles we multiply 36 by 4

=144

now we add 144 to 36 and we have the total

Answer:

There is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 4[/tex]

The alternate hypothesis is:

[tex]H_{1} < 4[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.

This means that [tex]n = 41, \mu = 3.75, \sigma = 1.2[/tex]

The test-statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.75 - 4}{\frac{1.2}{\sqrt{41}}}[/tex]

[tex]z = -1.33[/tex]

[tex]z = -1.33[/tex] has a pvalue of 0.0918, looking at the z-table.

0.0918 > 0.05, which means that the null hypothesis is accepted, and that there is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Read simply, it is m + (r - 2). It is a very clear statement, so you can depend on the answer.

Answer:

The answer is A. 3x + 3

Step-by-step explanation:

Umm yea its that

Answer: x4

Step-by-step explanation:

Answer:

a. A two way table is presented as follows;

[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]

ii) The percentage of students in the study that have myopia are approximately 24.867%

iii) The percentage of children living in Australia with myopia are approximately 3.2258%

The percentage of children living in Singapore with myopia are approximately 29.14%

b. Children in Australia spend more time reading, writing and also outdoors than children in Singapore

c. The study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children

The study does not suggests that more time spent outdoors is associated with a greater risk of myopia

d. The advantage is to reduce associated variables the generate more accurate findings or result

Step-by-step explanation:

a. A two way table is presented as follows;

[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]

ii) The percentage of students in the study that have myopia are;

(4 + 183)/(124 + 628) × 100 ≈ 24.867%

iii) The percentage of children living in Australia with myopia is given as follows;

4/124 × 100 ≈ 3.2258%

The percentage of children living in Singapore with myopia is given as follows;

183/628 × 100 ≈ 29.14%

b. The data for the time spent reading and writing is presented as follows;

                    Number of children  [tex]{}[/tex]  Mean     Standard deviation

Australia        109       [tex]{}[/tex]                      20.8        13.9

Singapore [tex]{}[/tex]    611                               17.8          8.8

The data for the time spent outdoors is presented as follows;

                    Number of children  [tex]{}[/tex]  Mean     Standard deviation

Australia        102       [tex]{}[/tex]                       13.75        1.02

Singapore [tex]{}[/tex]    586                               3.05        0.12

From the data, more children in Australia spend more time reading and writing and also outdoors than children in Singapore

c. From the data, more children spend their time reading and writing in Australia and are also less likely to develop myopia than children in Singapore

Therefore, the study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children

Similarly, the study does not suggests that more time spent outdoors is associated with a greater risk of myopia

d. The advantage of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity is to reduce the variables or influential factors that may alter the impact on the test and the results

Answer:

The answer is 8

Step-by-step explanation:

Answer:

38 remander 8

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: [tex]a^{2} +b^{2} = c^{2}[/tex]. Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

Musisz przejść do Brainly.ph, jedyny sposób, w jaki z tobą rozmawiam, to tłumacz. Brainly.com jest dla języka angielskiego

Step-by-step explanation:

Answer:

52 pounds

Step-by-step explanation:

2 x 26= 52

Answer:

Step-by-step explanation:

Vertex: ( -2, -25)

Axis of symmetry: -2

Answer:

false

Step-by-step explanation:

Answer:

false they are called addend s

Answer:

1

Step-by-step explanation:

9514 1404 393

Answer:

  A.  40° and 40°

Step-by-step explanation:

The triangle cannot have two angles measuring 100°, so the remaining two angles must be equal to each other. This eliminates choices B and D.

The sum of angles in the triangle must be 180°. This eliminates choice C.

The two other angles must both be (180° -100°)/2 = 40°.

Answer:

y = 4x - 2

Step-by-step explanation:

→ First find the gradient

[tex]\frac{x2-x1}{y2-y1} =\frac{30-2}{8-1} = 4[/tex]

→ Put into y = mx + c format

y = 4x + c

→ Substitute ( 1 , 2 ) into y = 4x + c

2 = 4 + c so c = -2

→ Rewrite into equation format

y = 4x - 2

Answer:

lateral area of cylinder =2×pi ×radius×height

lateral area of cylinder =2×3.14×1×2

lateral area of cylinder=12.56 unit²

Answer:

that looks nice

Step-by-step explanation:

the hair looks cool

Answer:

104

Step-by-step explanation:

Just separate the whole thing into two shapes. Multiply the first shape: 12 x 7 = 84

Multiply the second shape: 5 x 4 = 20