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3 years ago

Help please...........

Mathematics

1 answer:

svetlana [45]3 years ago

5 0

Answer:

Step-by-step explanation:

so the probably seems impossible b/c there is some "implied" knowledge. You are supposed to remember that interior angles of a triangle add up to 180 °. Which I bet you knew.. .huh

so let's put that knowledge to work to help us solve this

we can say that all of the angles add up to 180 like this:

180 = (x-4) + (11x-11) + (x+13)

see? now group all the like terms, that is, put the x'es together & the numbers

180 = 13x -2

see? I just grouped the x terms and the constant terms, now move the 2 arcoss the equal sign to the other side, by adding 2 to both sides

182 = 13x

see? now divide both sides by 3 :)

14 = x

now we know what x is so plug that into the expression for the C angle

∠C = x-4

∠C = 14-4

∠C = 10 °

there you go. :)

best of luck, just leave a message in the comments if you have more questions , I'll see it there :)

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A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports

hichkok12 [17]

Answer:

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

$t = 3.054$

The p-value is $p-value = P(Z > 3.054) = 0.0011291$

The conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 51$

The first sample mean is $\mu_1 = 36$

The second sample size is $n_2 = 41$

The second sample size is $\mu_2 = 25$

The first standard deviation is $\sigma _1 = 21.4 \ g$

The second standard deviation is $\sigma _2 = 12.8 \ g$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu_1 = \mu_ 2$

The alternative hypothesis is $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }$

=> $t = \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51} + \frac{ 12.8^2}{41} } }$

=> $t = 3.054$

The p-value is mathematically represented as

$p-value = P(Z > 3.054)$

Generally from the z table

$P(Z > 3.054) = 0.0011291$

=> $p-value = P(Z > 3.054) = 0.0011291$

From the values obtained we see that $p-value < \alpha$ so the null hypothesis is rejected

Thus the conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0

3 years ago

if the area of polygon P is 20 units² and the ratio of similarity of polygon P to polygon G is 7/3, what is the area of polygon

kipiarov [429]

Hope this helped and I’ve shown my work and the answer! :)

5 0

3 years ago

Table A, B, C, Or D???<br> I’ll give brainlest

Aleks04 [339]

Answer:

i want to say C, im sorry if its wrong but im pretty sure its the right one

Step-by-step explanation:

6 0

2 years ago

a team of 10 players is to be selected from a class of 6 girls and 7 boys. match each scenario to its probability

mars1129 [50]

Step-by-step explanation:

The selection of r objects out of n is done in

many ways.

The total number of selections 10 that we can make from 6+7=13 students is

thus, the sample space of the experiment is 286

"The probability that a randomly chosen team includes all 6 girls in the class."

total number of group of 10 which include all girls is C(7, 4), because the girls are fixed, and the remaining 4 is to be completed from the 7 boys, which can be done in C(7, 4) many ways.

P(all 6 girls chosen)=35/286=0.12

"The probability that a randomly chosen team has 3 girls and 7 boys."

with the same logic as in A, the number of groups were all 7 boys are in, is

so the probability is 20/286=0.07

"The probability that a randomly chosen team has either 4 or 6 boys."

case 1: the team has 4 boys and 6 girls

this was already calculated in part A, it is 0.12.

case 2, the team has 6 boys and 4 girls.

there C(7, 6)*C(6, 4) ,many ways of doing this, because any selection of the boys which can be done in C(7, 6) ways, can be combined with any selection of the girls.

the probability is 105/286=0.367

since case 1 and case 2 are disjoint, that is either one or the other happen, then we add the probabilities:

0.12+0.367=0.487 (approximately = 0.49)

"The probability that a randomly chosen team has 5 girls and 5 boys."

selecting 5 boys and 5 girls can be done in

many ways,

so the probability is 126/286=0.44

Did this help??

8 0

3 years ago

A sewing club used 48 feet of fabric to make 8 blankets. At this rate how many blankets can be made from 6 yards of fabric?

Scilla [17]

48f=8b
÷8 ÷8 (divided by 8)
6f=b
it takes 6 feet of fabric to make 1 blanket
6f=1b 3f=y
36f=6b
12y=6b

it takes 12 yards to make 6 blankets

7 0

3 years ago

Read 2 more answers