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sweet [91]
3 years ago
10

Below you will see a balanced hanger diagram. One triangle has a mass of 6 grams. What is the mass of one square?​

Mathematics
1 answer:
aniked [119]3 years ago
6 0

Answer:

10

Step-by-step explanation:

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A police officer would like to estimate the proportion of petty theft cases that have gone unsolved in a large city. He takes a
nata0808 [166]

Answer:

0.625 \pm 1.645*0.0571

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

\pi is the estimate

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}, also called the critical value.

The standard error is:

s = \sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level critical value

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.955, so z = 1.645.

Estimate:

72 petty theft cases and finds 45 of these have gone unsolved.

So \pi = \frac{45}{72} = 0.625

Standard error:

s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.625*0.375}{72}} = 0.0571

Answer:

0.625 \pm 1.645*0.0571

7 0
2 years ago
Okay this is my last one.. I think dfghmhgfd
Ainat [17]
<h2>○=> <u>Correct option</u> :</h2><h2>\color{plum}\tt\bold{(B)}</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

We know that :

\color{hotpink} \tt \: circumference \: of \: a \: circle\color{plum} = 2\pi r

So, let the diameter of this circle be x.

Which means :

=\tt2  \times \pi  \times r

=\tt 2 \times x \times \pi = 12\pi

=\tt 2x\pi = 12\pi

=\tt x =  \frac{12}{2}

= \tt \: x = 6 \: m

Thus, the radius of the circle Robert drew = 6 m

Since the circle in option B has a radius of 6 m, it is the circle Robert drew.

▪︎<em>Therefore, the correct option is (B)</em>

8 0
2 years ago
FInd an equation of the line that passes through the point (3,-5) and is parallel to 4x=1+2y
kow [346]

Answer:

y=2x-11

Step-by-step explanation:

Put it in the form y=mx+b=>y=2x-1/2. Instead of -1/2, put it as b, since you want it to go through 3,-5. y=2m+b when it goes through (3,-5) happens when -5=3*2-b. Do algebra, and get b as 11. That means the equation is y=2x-11.

8 0
3 years ago
The mean score on a set of 17 test is 72. Suppose two more students take the test and score 68 and 63. What is the new mean?
Masja [62]

Answer:

New mean=71.32

Step-by-step explanation:

The expression for the total initial score is;

T=M×S

where;

T=total initial score

M=mean score

S=number in the set

replacing;

T=unknown

M=72

S=17

replacing;

T=72×17=1,224

The total initial score=1,224

Determine the total score by;

total score=total initial score+total final score

where;

total initial score=1,224

total final score=(68+63)=131

replacing;

total score=1,224+131=1,355

Determine the new mean;

New mean=total score/new number

where;

total score=1,355

new number=(17+2)=19

replacing;

new mean=1,355/19=71.32

8 0
3 years ago
HELP ASAP PLEASE!!!!! <br> what is the factorization of the polynomial below -x^2-2x+48
Veronika [31]

I HOPE IT WILL HELP YOU. I DID HOW I KNOW .

8 0
3 years ago
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