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2 years ago

What is the value of x? Enter your answer, as a decimal, in the box. ___ cm

Mathematics

1 answer:

lora16 [44]2 years ago

6 0

Answer

50.6

Step-by-step explanation:

I'm not sure how to do it, but I took the quiz and it said this was the correct answer

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Surveys indicate that two-thirds of all voters in Ward 5 plan on choosing Spike Jones for commissioner. If there are 500 voters

olya-2409 [2.1K]

<u>Answer:</u>

333 people of ward 5 are going to be voting for Spike Jones.

<u>Solution:</u>

We have been given that two-thirds of all voters in Ward 5 plan on choosing Spike Jones for commissioner.

There are 500 voters in Ward 5.

Since 2/3 of all voters in Ward 5 are voting for Spike Jones the remaining 1/3 will not be voting for him.

To find out how many people in ward 5 are exactly voting for Spike Jones. We need to calculate how much is two thirds of 500 is.

This is done as follows:

$\begin{array}{l}{\frac{2}{3} \times 500} \\\\ {=\frac{1000}{3}} \\\\ {=333.334}\end{array}$

Since people cannot be denoted in decimal points we have to round it off to a whole number. That’s is 333.

Therefore 333 people of ward 5 are going to be voting for Spike Jones.

4 0

2 years ago

A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey

Lubov Fominskaja [6]

Answer:

$Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779$

And the deviation would be:

$Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54$

Step-by-step explanation:

For this case we have the following distribution given:

X 0 1 2 3 4 5 6

P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02

For this case we need to find first the expected value given by:

$E(X) = \sum_{i=1}^n X_i P(X_I)$

And replacing we got:

$E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61$

Now we can find the second moment given by:

$E(X^2) =\sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97$

And the variance would be given by:

$Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779$

And the deviation would be:

$Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54$

8 0

2 years ago

Adam cut a piece of string 42 inches long into 2 pieces. The ratio of the length of the 2 peices is 3:4, what is the length, to

jek_recluse [69]

Answer:

Shorter piece length is 18 inches

Step-by-step explanation:

Let's marked first piece with x and second with y

x + y = 42

Given ratio is x : y = 3 : 4

From this proportion we get

x = 3 c and y = 4 c where c is coefficient of proportionality

when we replace this in initial equation we get

3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6 c = 6

x = 3 · 6 = 18 inches and z = 4 · 6 = 24 inches

shorter piece is x = 18 inches

God with you!!!

6 0

2 years ago

In the figure shown to the right, two angle measurements are given. Determine the others.

creativ13 [48]

The figure is shown below

From the figure

Angle 150 degree and angle p forms angles on a straight

Since the sum of angles on a straight line equals 180 degrees

Hence

$150^{\circ}+p=180^{\circ}$

Solve for p in the equation

$\begin{gathered} p=180^{\circ}-150^{\circ} \\ p=30^{\circ} \end{gathered}$

Hence, p = 30

From the figure

Angle p and angle q are vertically opposite angles

Since vertically opposite angles are equal then

$p=q=30^{\circ}$

Hence, q = 30

Applying the rule of angles on a straight line

This implies

$q+w+60=180$

Substitute q = 30 into the equation

$30+w+60=180$

Solve for w

$\begin{gathered} w+90=180 \\ w=180-90 \\ w=90 \end{gathered}$

Hence, w = 90

8 0

6 months ago

It takes Christy 1.5 hours to clean the garage. It takes the kids 2 hours to clean the same garage. If they all clean together,

Alborosie

Christy c = 90 min

kids k = 120 min

total time t = ?

I would do : 90+120 = 210 then divide that by 2 which equals 105 min

6 0

2 years ago