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docker41 [41]
3 years ago
12

the scale on a blueprint for a new apartment is 1 in equals 4 feet if the length of the living room on the blueprint is 6 in, wh

at is going to be the actual length of the living room?
Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

<em>The actual length of the living room is 24 feet.</em>

Step-by-step explanation:

<u>Scaling</u>

The scaling on a blueprint for an apartment is:

1 inch = 4 feet

This means every 1 inch measured on the blueprint corresponds to 4 feet on the real length of the apartment.

We know the length of the living room in the blueprint is 6 inches, thus the real dimension of the living rooms is:

6 * 4 = 24 feet

The actual length of the living room is 24 feet.

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Use long division to find the quotient​ Q(x) and the remainder​ R(x) when​ P(x) is divided by​ d(x) and express​ P(x) in the for
lilavasa [31]

Answer:

P(x)=(x+9)(x^2-7x+52)+3

Step-by-step explanation:

We are given that

P(x)=x^3+2x^2-11x+471

d(x)=x+9

We have to find the value of Q(x) and Remainder R(x).

Quotient, Q(x)=x^2-7x+52

Remainder,R(x)=3

We know that

Dividend=Divisor\times Quotient+Remainder

P(x)=(x+9)(x^2-7x+52)+3

4 0
3 years ago
Tennis elbow is thought to be aggravated by the impact experienced when hitting the ball. The article "Forces on the Hand in the
Gnoma [55]

Answer:

Step-by-step explanation:

Hello!

The objective is to study whether there is a greater force after impacting on one- handed backhand drive in advanced tennis players than in intermediate tennis players.

Sample 1: Advanced tennis players

X₁: Force (N) on the hand just after impact on a one- handed backhand drive for an advanced tennis player.

n₁= 6

X[bar]₁= 40.29 N

S₁= 11.29

Sample 2: Intermediate players

X₂: Force (N) on the hand just after impact on a one- handed backhand drive for an intermediate tennis player.

n₂= 8

X[bar]₂= 21.40

S₂= 8.30

Assuming that both variables have a normal distribution and both population variances are equal, to compare these two populations is best to do so trough their population means using a t-test for independent samples.

If the force is greater for the advanced players than for the intermediate players, then you'd expect the population mean for the advanced players to be greater than the population mean for the intermediate players:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

α: 0.05

t= \frac{(X_[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ~~t_{n_1+n_2-2}

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{5*127.51+7*68.92}{6+8-2} }= 9.66

t_{H_0}= \frac{(40.29-21.40)-0}{9.66\sqrt{\frac{1}{6} +\frac{1}{8} } } = 3.62

Using the p-value approach, the decision rule is

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

The p-value for this test is 0.00024, it is less than the level of significance, so the decision is to reject the null hypothesis.

This means that at a 5% significance level you can conclude that the average force experienced on the hand after a one-handed backhand drive for advanced players is greater than the average force experienced on the hand after a one-handed backhand drive for intermediate players.

I hope this helps!

3 0
3 years ago
67 pts who ever answers wins. its a photo
leonid [27]

Since angles 3 and 2 are congruent, angle 2 is 112 degrees. Also, because angles 2 and 1 are vertical angles, they'll have the same measurement.

So m<1=112 degrees

4 0
3 years ago
At a local ice cream parlor, there are 6 different flavors of ice cream from which to select (strawberry, chocolate, vanilla, ro
Neko [114]

Answer:

1/30

Step-by-step explanation:

let, vanilla be the first ice cream.

hence, the probability of choosing vanila= 1/6

let, chocolate be the second ice cream.

hence, the probability of choosing chocolate=1/5

hence, the probability that the next customer's sundae will have vanilla and chocolate (in either order)= (1/6)×(1/5)

=1/30

7 0
3 years ago
The graph shown represents the equation y=3(1/3)^x
musickatia [10]
Statements #1-4 are all true. Statement 5 is false due to the fact that when x = 0, y = 3. 
3 0
3 years ago
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