Need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

generally people cover 110 yards in 11 seconds. express the speed in feet per second. (3 feet = 1 yard)

ivolga24 [154]

1 yd = 3 feet....so 110 yds = 3(110) = 330 ft

330 feet / 11 seconds = (330/11) = 30 feet per second

3 0

3 years ago

An acute triangle had two sides measuring 8cm and 10 cm what is the best representation of the possible range of values for tge

katrin2010 [14]

The third side must be >2 and < 18

To test if a triangle is acute, right or obtuse:
1) Square all 3 sides
2) Sum the squares of the 2 shortest sides
3) Compare this sum to side 3 squared
if sum > side 3 squared it is an acute triangle
if sum = side 3 squared it is a right triangle
if sum < side 3 squared it is an obtuse triangle

The shortest side 2 can be is "less than 2" so we'll say it is 2.00000001
three sides squared =
 4.00000004 
64
100
Summing the 2 shortest sides 4.00000004 + 64 = 68.00000004
68.00000004 is less than 100 so it is an obtuse triangle no matter how long the third side is.

8 0

3 years ago

If tan θ=−4/7, and 270°<θ<360°, what is sec θ?

kondaur [170]

Answer:

1.15

Step-by-step explanation:

tan θ=−4/7, and 270°<θ<360°

θ is in 4th quadrant

sec θ = 8.06 / 7 = 1.15

5 0

3 years ago

According to an article, 47% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select

In-s [12.5K]

Answer:

a) $P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b) $P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c) $P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=9, p=0.47)$

The probability mass function for the Binomial distribution is given as:

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

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b. at least one

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

$P(X \geq 1)= 1-P(X$

$P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c. between four and six, inclusive.

For this case we want this probability:

$P(4 \leq X \leq 6)$

$P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

6 0

3 years ago

Can someone help me plz

Karo-lina-s [1.5K]

Answer:

y = 2x - 10

Step-by-step explanation:

The slope is 4 + 4 / 7 - 3 = 8 / 4 = 2

y = 2x + b

-4 = 6 + b

b = -10

Thank, 5 star, braniliest if helpful

3 0

3 years ago