Complete each diagram. Then, write the prime factorization.Complete each diagram. Then, write the prime factorization.

The scale of a room in blueprint is 3in 5ft. A wall in the same blueprint is 18in. what are the actual room measurements?

QveST [7]

Answer:

Actual length of wall = 30ft

Step-by-step explanation:

We have scale of a room as 3 inch for 5ft.

We can write scaling factor as:

Scaling factor = 3 /60 (Since 5ft = 60 inches )

Scaling factor = 1/20

Now,

a wall in the blueprint is 18inch.

So actual length of wall can be determined by dividing 18 inch by the scale factor.

i.e actual length of wall = 18 / scale factor = 18 / (1/20)

actual length of wall = 18* 20 = 360 inch = 30ft (Since 360 inch = 30ft)

Hence Actual length of wall = 30ft

5 0

3 years ago

Tropical Smoothie is halfway between Shawn’s house and Isabella’s house. Shawn’s house is located at the point (4, 6) on the coo

weeeeeb [17]

Answer: i have

Step-by-step explanation: no idea

3 0

3 years ago

A recipe calls for 18 ounces of cream cheese and 15 ounces of sugar.How many ounces of sugar are there per ounce of cream cheese

Pavlova-9 [17]

Step-by-step explanation:

MusicLeonard BernsteinLyricsStephen SondheimBookArthur LaurentsBasisRomeo and Juliet

by William ShakespeareProductions1957 Washington, D.C. (tryout)

1957 Philadelphia(tryout)

1957 Broadway

1958 West End

1959 US tour

1960 Broadway revival

1964 Broadway revival

1974 West End revival

1980 Broadway revival

1984 West End revival

1985 US tour

1995 US tour

1998 West End revival

2009 Broadway revival

2010 US tour

2020 Broadway revival

The story is set in the Upper West Sideneighborhood in New York City in the mid 1950s, a multiracial, blue-collar neighborhood. The musical explores the rivalry between the Jets and the Sharks, two teenage street gangsof different ethnic backgrounds. The members of the Sharks, from Puerto Rico, are taunted by the Jets, a white gang.[2] The young protagonist, Tony, a former member of the Jets and best friend of the gang's leader, Riff, falls in love with Maria, the sister of Bernardo, the leader of the Sharks. The dark theme, sophisticated music, extended dance scenes, and focus on social problems marked a turning point in American musical theatre. Bernstein's score for the musical includes "Jet Song", "Something's Coming", "Maria", "Tonight", "America", "Cool", "One Hand, One Heart", "I Feel Pretty", "Somewhere", "Gee, Officer Krupke" and "A Boy Like That".

The original 1957 Broadway production, conceived, directed and choreographed by Jerome Robbins and produced by Robert E. Griffith and Harold Prince, marked Sondheim's Broadway debut. It ran for 732 performances before going on tour. The production was nominated for six Tony Awards including Best Musical in 1958,[3] but the award for Best Musical went to Meredith Willson's The Music Man. Robbins won the Tony Award for his choreography and Oliver Smith won for his scenic designs. The show had an even longer-running London production, a number of revivals and international productions. A 1961 musical film adaptation, directed by Robert Wise and Robbins, starred Natalie Wood, Richard Beymer, Rita Moreno, George Chakirisand Russ Tamblyn. The film was nominated for eleven Academy Awards and won ten, including George Chakiris for Supporting Actor, Rita Moreno for Supporting Actress, and Best Picture.

4 0

3 years ago

Read 2 more answers

3. You can ride your bike 1/5 of a mile per minute. If it takes you 3 1/3 minutes to get

Allushta [10]

Answer:

2/3

.......................

6 0

3 years ago

A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances

wariber [46]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to compare two compounds, designed to reduce braking distance, used in tire manufacturing to prove if the braking distance of SUV's equipped with tires made with compound 1 is shorter than the braking distance of SUV's equipped with tires made with compound 2.

So you have 2 independent populations, SUV's equipped with tires made using compound 1 and SUV's equipped with tires made using compound 2.

Two samples of 81 braking tests are made and the braking distance was measured each time, the study variables are determined as:

X₁: Braking distance of an SUV equipped with tires made with compound one.

Its sample mean is X[bar]₁= 69 feet

And the Standard deviation S₁= 10.4 feet

X₂: Braking distance of an SUV equipped with tires made with compound two.

Its sample mean is X[bar]₂= 71 feet

And the Standard deviation S₂= 7.6 feet

We don't have any information on the distribution of the study variables, nor the sample data to test it, but since both sample sizes are large enough n₁ and n₂ ≥ 30 we can apply the central limit theorem and approximate the distribution of both variables sample means to normal.

The researcher's hypothesis, as mentioned before, is that the braking distance using compound one is less than the distance obtained using compound 2, symbolically: μ₁ < μ₂

The statistical hypotheses are:

H₀: μ₁ ≥ μ₂

H₁: μ₁ < μ₂

α: 0.05

The statistic to use to compare these two populations is a pooled Z test

$Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} } }$

Z ≈ N(0;1)

$Z_{H_0}= \frac{69-71-0}{\sqrt{\frac{108.16}{81} +\frac{57.76}{81} } }= -1.397$

The rejection region if this hypothesis test is one-tailed to the right, so you'll reject the null hypothesis to small values of the statistic. The critical value for this test is:

$Z_{\alpha } = Z_{0.05}= -1.648$

Decision rule:

If $Z_{H_0}$ > -1.648 , then you do not reject the null hypothesis.

If $Z_{H_0}$ ≤ -1.648 , then you reject the null hypothesis.

Since the statistic value is greater than the critical value, the decision is to not reject the null hypothesis.

At a 5% significance level, you can conclude that the average braking distance of SUV's equipped with tires manufactured used compound 1 is greater than the average braking distance of SUV's equipped with tires manufactured used compound 2.

I hope you have a SUPER day!

4 0

3 years ago