Ask question

Ask question

All categories

soldier1979 [14.2K]

3 years ago

8

Sylvia Snead won 500$ on the new reality show who want to do howie’s home work ? She spent 25$ on presents.for her parents she s

pent three time that amount on a purple poncho for her friend Paula And she have the rest to howie how much money did Sylvia give howie

1 answer:

GrogVix [38]3 years ago

6 0

Answer:

$400

Step-by-step explanation:

parents gift - 25

poncho - 25 x 3 =75

25+75 = 100

You might be interested in

18. Find the value of x that makes the equation true.

IgorC [24]

Step-by-step explanation:

✧ $\large{ \tt{ \: \frac{1}{2} x + 2 = \frac{3}{2} x - 6}}$

We need to get rid of the fractions. Notice that there are 4 terms in the equation. Multiply both sides of the equation by 2 to get rid of the fractions. Multiply by 2 because 2 is the denominator.

⤑ $\large{ \tt{2( \frac{1}{2} x + 2) = 2( \frac{3}{2} x - 6)}}$

⤑ $\large{ \tt{x + 4 = 3x - 12}}$

Subtract 4 from both sides in order to isolate the variable on the left.

⤑ $\large{ \tt{x + 4 - 4 = 3x - 12 - 4}}$

⤑ $\large{ \tt{x = 3x - 16}}$

Move 3x to left hand side and change it's sign

⤑ $\large {\tt{x - 3x = - 16}}$

Subtract 3x from 1x

⤑ $\large{ \tt{ - 2x = - 16}}$

Divide both sides of the equation by -2

⤑ $\large{ \tt{ \frac{ - 2x}{ - 2} = \frac{ - 16}{ - 2}}}$

⤑ $\large{ \tt{x = 8}}$

$\boxed{ \boxed{ \underline{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{x = 8}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

☞ $\underline{ \underline{ \mathfrak{Carry \:On \:Learning}}}$ !!▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

6 0

3 years ago

A poll is given, showing 30% are in favor of a new building project. If 10 people are chosen at random, what is the probability

Schach [20]

Answer:

30%

Step-by-step explanation:

3 0

3 years ago

A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has eight ident

Fudgin [204]

Answer:

a) 0.0486 = 4.86% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9996 = 99.96% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they last more than 1,000 hours, or they do not. Components operate independently, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

One subsystem has eight identical components, each with a probability of 0.1 of failing in less than 1,000 hours.

So 1 - 0.1 = 0.9 probability of working for more, which means that $p = 0.9$

a. exactly two of the four components last longer than 1000 hours.

This is P(X = 2) when $n = 4$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{4,2}.(0.9)^{2}.(0.1)^{2} = 0.0486$

0.0486 = 4.86% probability that exactly two of the four components last longer than 1000 hours.

b. the subsystem operates longer than 1000 hours.

The subsystem has 8 components, which means that $n = 8$

It will operate if at least 4 components are working correctly, so we want:

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{8,0}.(0.9)^{0}.(0.1)^{8} \approx 0$

$P(X = 1) = C_{8,1}.(0.9)^{1}.(0.1)^{7} \approx 0tex][tex]P(X = 2) = C_{8,2}.(0.9)^{2}.(0.1)^{6} \approx 0$

$P(X = 3) = C_{8,3}.(0.9)^{3}.(0.1)^{5} = 0.0004$

Then

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0 + 0 + 0.0004 = 0.0004$

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0004 = 0.9996$

0.9996 = 99.96% probability that the subsystem operates longer than 1000 hours.

5 0

3 years ago

How many non-congruent triangles can you draw with the given properties? a. Sides measuring 7 inches, 8 inches, and 16 inches b.

Leno4ka [110]

Answer:

The answers are;

a. None

b. None

c. Infinite

d. None

e. None

Step-by-step explanation:

The number of non congruent triangles that can be drawn depends on the uniqueness of the triangle

The parameters of a unique triangle are;

Knowing the Side Side Side (SSS)

Knowing the Side Angle Side (SAS)

Knowing the Angle Side Angle (ASA)

Knowing the Angle Angle Side (AAS)

However, knowing only the Side Side Angle it is possible to draw two non-congruent triangles

Therefore, considering each of the triangles gives;

a. Sides 7 inches, 8 in., and 16 in. which is of the form SSS hence the triangle is well defined and it is not possible to draw two non-congruent triangle with the provided properties

b. Similarly, the given triangle parameters are 4 in., 4 in., and 6 in. which is of the form SSS hence the triangle is well defined and it is not possible to draw two non-congruent triangle with the provided information

c. The parameters of the triangle given here are angles 30°, 60°, and 90° which is of the form Angle Angle Angle, or AAA for which the sides can be scaled to form an infinite number of non-congruent triangles

d. The parameters given are three angles measuring 120° which does not form a triangle as the sum of triangles in a triangle = 180°

Hence the number of non-congruent triangles that can be drawn in this case = 0

e. The parameters given are two angles measuring 45° and one side length of 10 in., hence the parameter is of the forms AAS or ASA hence the triangle is unique and it is not possible to draw two non-congruent triangle with the provided properties.

6 0

3 years ago

A volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model th

Anettt [7]

B and D.
I hope helps!!!

6 0

3 years ago