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KATRIN_1 [288]
2 years ago
12

Abbie babysits on the weekends. She charges $10 for the first hour and $6 for each

Mathematics
1 answer:
Dvinal [7]2 years ago
8 0

Answer:

5 hours

Step-by-step explanation:

34-10(first hour) is 24

24/6(price per additonal hour)=4

so  theres four additional hours and the one OG hour so its 5 hours total

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What is the surface area?????
Elenna [48]

The area of a triangle is found using the formula Area = 1/2 x base x height.


Base = 8

Height = 18.


The area of 1 triangle = 1/2 x 8 x 18 = 72 square units.


There are a total of 4 sides, so total area = 72 x 4 = 288 units ^2

5 0
3 years ago
Can someone help? I don't understand the equasion
Alika [10]

Answer:

a = 1/6

Step-by-step explanation:

To solve, divide both sides by 5 1/4

a = 7/8 / (5 1/4)

a = (7/8) / (21/4)

a= 7/8 * 4/21

a= 28/168

a= 1/6

8 0
3 years ago
Trapezoid JKLM is shown on the coordinate plane below
Anna11 [10]

Answer:

b i think (im not really sure

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
From a point T on a horizontal ground, the angle of
grin007 [14]

Answer:

distance TS ≈ 19 m (nearest meter)

Step-by-step explanation:

The point T is on the horizontal ground and the angle of elevation of the top R of a tower is 63° and the height of the tower is 38 m high. The illustration forms  a right angle triangle. The height RS of the tower is the opposite side of the triangle formed. The hypotenuse side of the triangle is the point from the ground T to the top of the tower R.  The adjacent side of the triangle is the side TS.

using tangential ratio

tan 63° = opposite/adjacent

tan 63° = 38/adjacent

cross multiply

adjacent tan 63° = 38

divide both sides by tan 63°

adjacent side = 38/tan 63°

adjacent side = 38/1.96261050551

adjacent side = 19.3619670807

distance TS ≈ 19 m (nearest meter)

6 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
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