1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bond [772]
3 years ago
12

From triangle PQR is P = 90°, PQ = 15.5 dm and PR = 11,7 dm. Calculate QR in dm. Round to one decimal.

Mathematics
1 answer:
Irina18 [472]3 years ago
4 0

Answer:

QR = 19.4

Step-by-step explanation:

Use Pythagoras because p = 90°

Qr is hypotenuse

; (15.5)² + (11.7)²

= 377.14

√377.14

= 19.42009

= 19.42

= 19.4

hope it helps ☺️

You might be interested in
Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c
steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for difference between population proportions is:

CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}

Compute the sample proportions as follows:

\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23

The critical value of <em>z</em> for 90% confidence interval is:

z_{0.10/2}=z_{0.05}=1.645

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}

     =(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0
3 years ago
Lorenzo reads at a rate of 45 words per minute. If he reads at a constant rate, how many words can he read in 6 minutes?
Reil [10]
Lorenzo can read 270 words in 6 minutes
4 0
3 years ago
Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the l
zavuch27 [327]

Solution :

Given data :

The mean length of the steel rod = 29 centimeter (cm)

The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)

a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).

Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)

                                    = P(z < -1.42)

                                   = 0.0778

b). Any rods which is shorter than 24.84 cm or longer than 25.16 cm that re discarded.

Therefore,

P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)

                                         = 1.052

4 0
3 years ago
How much money will you need to invest initially to have $750.00 in 10 years and 8 months if the money is compounded daily at an
choli [55]

Answer:

$574.45 is the answer for number one

7 0
3 years ago
To the nearest hundredth of a centimeter, what is the length of the hypotenuse?
AlekseyPX
Sin 45 = 62.5/h
h = 62.5 / sin 45
h = 88.3 cm
3 0
3 years ago
Other questions:
  • Jina had 7/8 of a spool of yarn.she used 3/4 of it for her project.What fraction of the spool was used for her project
    13·1 answer
  • each box has 10 bags in it. each bag has 10 blocks in it. Tiara needs 216 blocks show a way to buy 216 blocks
    9·1 answer
  • −cz+6z=tz+83 solve for z
    9·2 answers
  • What is x plus y equals 20
    6·2 answers
  • You borrow $500 to buy a computer. The simple interest rate is 15%. You pay off the loan after 4 years. How much do you pay for
    8·1 answer
  • Type the missing number.<br>Hint: Use properties of multiplication ​
    7·1 answer
  • Please help me in anything you can please try to do both of them I really need the answer
    5·1 answer
  • Encuentra los cuatro siguientes terminos de la sucesion y el numero que los relacina 7 4 7 2 7 14
    11·1 answer
  • What are the solutions to the equation<br><br>x^2+14x=-130<br><br>please do a step by step
    10·1 answer
  • Simon has 12/9 cups of muffin batter. His recipe calls for 1/3 cup of batter for each muffin. How many muffins can he make?​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!