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Anarel [89]
2 years ago
8

The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds wi

ll it take the Math clubs car to make it around the track
Mathematics
1 answer:
zhenek [66]2 years ago
5 0

Answer: it will take 7 seconds

Step-by-step explanation: 9 x 7 = 63

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Which could a dilation result in?
Tamiku [17]
Making a shape bigger and smaller
8 0
2 years ago
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Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2 when y =
Sergeeva-Olga [200]

Answer:

y = \frac{22}{x}

Step-by-step explanation:

given that y varies inversely with x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition x = 2 when y = 11

k = yx = 11 × 2 = 22

y = \frac{22}{x} ← equation of variation

4 0
3 years ago
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An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.
Greeley [361]

Answer: 1) 0.6561    2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel.  : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}

=(1)(0.90)^4=0.6561

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

8 0
3 years ago
Which of the following trigonometric fuuctions has a range of apply all real numbers? Select all that apply.
Kryger [21]

Answer:

y=tan x and y=cotx

Step-by-step explanation:

We are given functions of all trignometric ratios and asked to find out which has range of all real numbers.  Let us discuss one by one

1. y =sinx:  False because -1≤sinx≤1 always

2. y=cosx:False because -1≤cosx≤1 always

3. y = tanx:  True because tanx can take any value

4. y=cot x: True because cots x can take any value

5. y = csc x:   False because this range does not lie between -1 and 1

6. y=sec xFalse because this range does not lie between -1 and 1

6 0
2 years ago
Help will give Brainly points
Maurinko [17]

Cos 45 = 7/x

0.707 = 7/x

x= 9.9

sin 45= 7/x

0.707= 7/x

x = 9.9

3 0
2 years ago
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