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3 years ago

What is the length of the hypotenuse of the right triangle if one side is 16in and one is 7in?

Mathematics

1 answer:

Ronch [10]3 years ago

7 0

Answer:

hypotenuse = 17.46

Step-by-step explanation:

The Pythagorean Theorem is a^2+b^2=c^2.

Since we are finding the hypotenuse, we must plug in 16 and 7 since they represent the lengths of both side.

16^2+7^2=c^2

256+49=c^2

305=c^2

which means we have to find the square root of c^2 AND 305, round it to the nearest hundredth, which means that;

c=17.46

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Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and a monthly fee of 19.50. she

Naddik [55]

Answer:

Chelsey can be a member of the fitness club for 10 months.

Step-by-step explanation:

Given:

Chelsey wants to join a fitness club.

The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50.

She has $250 to spend on a membership at the fitness club.

Now, to find the number of months Chelsey can be a member of the fitness club.

Let the number of months Chelsey can be a member of the fitness club be $x.$

Monthly fee = $19.50.

Membership fee = $55.

Now, to get the number of months Chelsey can be a member of the fitness club we write and solve an equation:

$55+19.50(x)=250.$

$55+19.50\times x=250\\\\55+19.50x=250$

Subtracting both sides by 55 we get:

$19.50x=195$

Dividing both sides by 19.50 we get:

$x=10.$

Therefore, Chelsey can be a member of the fitness club for 10 months.

5 0

3 years ago

A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distr

Marianna [84]

Answer:

(a) Decision rule for 0.01 significance level is that we will reject our null hypothesis if the test statistics does not lie between t = -2.651 and t = 2.651.

(b) The value of t test statistics is 1.890.

(c) We conclude that there is no difference in the mean number of times men and women order take-out dinners in a month.

(d) P-value of the test statistics is 0.0662.

Step-by-step explanation:

We are given that a recent study focused on the number of times men and women who live alone buy take-out dinner in a month.

Also, following information is given below;

Statistic : Men Women

The sample mean : 24.51 22.69

Sample standard deviation : 4.48 3.86

Sample size : 35 40

Let $\mu_1$ = mean number of times men order take-out dinners in a month.

$\mu_2$ = mean number of times women order take-out dinners in a month

(a) So, Null Hypothesis, $H_0$ : $\mu_1-\mu_2$ = 0 {means that there is no difference in the mean number of times men and women order take-out dinners in a month}

Alternate Hypothesis, $H_A$ : $\mu_1-\mu_2\neq$ 0 {means that there is difference in the mean number of times men and women order take-out dinners in a month}

The test statistics that would be used here Two-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ~ $t__n_1_-_n_2_-_2$

where, $\bar X_1$ = sample mean for men = 24.51

$\bar X_2$ = sample mean for women = 22.69

$s_1$ = sample standard deviation for men = 4.48

$s_2$ = sample standard deviation for women = 3.86

$n_1$ = sample of men = 35

$n_2$ = sample of women = 40

Also, $s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }$ = $\sqrt{\frac{(35-1)\times 4.48^{2}+(40-1)\times 3.86^{2} }{35+40-2} }$ = 4.16

So, test statistics = $\frac{(24.51-22.69)-(0)}{4.16 \sqrt{\frac{1}{35}+\frac{1}{40} } }$ ~ $t_7_3$

= 1.890

(b) The value of t test statistics is 1.890.

(c) Now, at 0.01 significance level the t table gives critical values of -2.651 and 2.651 at 73 degree of freedom for two-tailed test.

Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that there is no difference in the mean number of times men and women order take-out dinners in a month.

(d) Now, the P-value of the test statistics is given by;

P-value = P( $t_7_3$ > 1.89) = 0.0331

So, P-value for two tailed test is = 2 $\times$ 0.0331 = 0.0662

4 0

3 years ago

(Giving 70 points! Also brainly, if it isnt a good answer it gets reported!)

Sati [7]

Answer: Answers provided below in sequential order.

Step-by-step explanation: UV = 12(3)-1

(They said that x = 3)

UV = 35 (12*3-1)

70 = TV

TU = UV

8x + 11 = 12x - 1

-4x = 10

x = -10/4 or -5/2 (simplified)

TU = 8 (3) + 11

TU = 35 (24+11)

7 0

2 years ago

Read 2 more answers

The letters of the alphabet are written on cars and placed in a brown paper bag. What is the probability of drawing a vowel, rep

Oksanka [162]

Answer:

25 / 676

Step-by-step explanation:

There are 5 vowels in the alphabets, and there are 26 alphabets in total as a whole.

The probability of drawing a vowel kb first trial is going to be

5 / 26, total number of vowels and total number of alphabets as a whole.

Again, we're told to replace the picked vowel, and pick another vowel, so that will once again be

5 / 26.

To get the final answer, we multiply both answers by each other

5 / 26 * 5 / 26 = 25 / 676.

Therefore, the probability has been found to be 25 / 676

6 0

3 years ago

If two angles are supplementary and congruent, what is the measure of each angle?

matrenka [14]

Answer:

Step-by-step explanation:

supplementary angles equal 180 degrees and 90+90=180

8 0

2 years ago

Read 2 more answers