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Alekssandra [29.7K]
2 years ago
10

What’s the answer to number 1?

Mathematics
1 answer:
Darya [45]2 years ago
7 0

Answer:

increase = New number - original number

inc % = (increase ÷ original number) *100%

Step-by-step explanation:

133 - 76 = 56

inc % = 57 ÷ 76 = 0.75

0.75*100% = 75%

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Round 76.625 to the nearest hundredths
lidiya [134]
Is 76.63 because:
If it is 5 or above, you give it one more point .
If it is 4 or below, you let it stay still.

4 0
3 years ago
What are the remaining angle measures if the figure is to be a parallelogram?
Kobotan [32]

Answer:

We conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

Step-by-step explanation:

Given the parallelogram ABCD

We know that a parallelogram has opposite angles that are congruent.

Here,

The angles ∠A and ∠C are opposite angles.

Thus,

  • ∠A = ∠C

The angles ∠B and ∠D are opposite angles.

Thus,

  • ∠B = ∠D

<u>Determining the measure of angles of a parallelogram:</u>

As

∠A = 79°

We know

  • ∠A = ∠C

Thus, the measure of the angle ∠C is:

m∠C = 79°

We know that the sum of the measure of two consecutive angles is 180°.

As ∠A and ∠D are consecutive angles, so

∠A + ∠D = 180°

substituting ∠A = 79° in the equation

79° + ∠D = 180°

subtracting 79° from both sides

79° + ∠D - 79° = 180° - 79°

∠D = 101°

Thus, the measure of the angle D is:

m∠D = 101°

We know that the angles ∠B and ∠D are opposite angles.

Thus,

  • ∠B = ∠D

so if m∠D = 101° then ∠B is also 101°.

Therefore, the measure of angle B is:

m∠B = 101°

Hence, we conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

7 0
2 years ago
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

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 interval 1-\alpha, we have the following confidence interval of proportions.

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

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
2 years ago
ABC is an isosceles triangle in which AC =BC.
aev [14]

Given:

ABC is an isosceles triangle in which AC =BC.

D and E are points on BC and AC such that CE=CD.

To prove:

Triangle ACD and BCE are congruent​.

Solution:

In triangle ACD and BCE,

AC=BC                  (Given)

AC\cong BC

\angle C\cong m\angle C                  (Common angle)

CD=CE                  (Given)

CD\cong CE

In triangles ACD and BCE two corresponding sides and one included angle are congruent. So, the triangles are congruent by SAS congruence postulate.

\Delta ACD\cong \Delta BCE           (SAS congruence postulate)

Hence proved.

3 0
3 years ago
Read 2 more answers
Jack's overtime wage is $3 per hour more than his regular hourly wage. He worked for 5 hours at his regular wage and 4 hours at
tamaranim1 [39]
Jack's regular wage is $6 per hour.
3 0
2 years ago
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