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Daniel [21]
3 years ago
9

4. What is the correct simplified form? See picture

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0

Answer:

option 3

Step-by-step explanation:

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There are 25 students in a class at the beginning of the school year and the average number of siblings for each student is thre
Zigmanuir [339]

Answer:  Yes. The new average is 3

<u>Step-by-step explanation:</u>

25 students at 3 siblings each = 75 siblings

26 students has 75 siblings + 8 siblings = 83 siblings

New average is 83 siblings ÷ 26 students = 3.19 siblings per students

5 0
3 years ago
The bearing of Y from X is 63
zimovet [89]

Answer:

  • 117°

Step-by-step explanation:

<u>As per diagram:</u>

  • ∠NXY ≅ ∠XYZ as alternate interior angles since XN and YN are parallel and XY is transversal
  • m∠XYZ = m∠XZY = 63° since ΔXYZ is isosceles

<u>Find the measure of ∠YXZ:</u>

  • m∠YXZ = 180° - 2*63° = 54°

<u>Find the bearing of Z from X:</u>

  • m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°
8 0
3 years ago
David pays $335 in advance on his account at the gym. Each time he visits the gym , $6 is deducted from the account. Write an eq
Korolek [52]

Answer:

x = 335 - (6 * v)

Step-by-step explanation:

In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.

x = 335 - (6 * v)

7 0
2 years ago
Researchers studying the acquisition of pronunciation often compare measurements made on the recorded speech of adults and child
dolphi86 [110]

Answer:

(A) The additional information that is needed to confirm about the conditions for this test have been met is ‘Population is approximately normal.

(B) The test statistic = 1.9965

(C1) P-value = 0.0556

(C2) There is no significant difference between mean VOT for children and adults.

D1) It is possible to make type II error.

(D2) There should be a difference in the VOT of adults and children.

Step-by-step explanation:

Let na be the number of adults = 20

xa mean VOT for adults = 88.17

sa standard deviatiation of VOT for adults = 24.74

Let nc be the number of children = 10

xc mean VOT for children =60.67

sc standard deviatiation of VOT for children = 39.89

(A) From the information the population variances are unknown and the two sample are assumed to be independent and the sample the sample size are smaller that is (n<30).

This indicates that the additional information that is required for the conditions of the test to be satisfied is 'distribution of the population'. the addition assumption to be made is, that the population distribution is normal.

(b) Calculating the test statistics using the formula;

t = (xa -xc)/SE - d

where SE = standard deviation , d= hypothesized difference = 0

But SE = √sa²/na +sc²/nc

           = √24.74 ²/20 + 39.89²/10

           = √189.72559

           = 13.774

Substituting into test statistics equation, we have

t = (xa -xc)/SE - d

  = (88.17 - 60.67/13.774

  = 1.9965

Therefore the test statistic is 1.9965

(c) Calculating the p-value, we have;

Degree of freedom = na + nc -2

                                 = 10+ 20 -2

                                 = 28

The p-value for t=1.9965 at 28 degrees of freedom and 0.05 level of significance is 0.0556.

The p-value 0.0556 is greater than given level of significance 0.05 hence we fail to reject the null hypothesis and conclude that there is no significant difference between mean VOT for children and adults.

(D1) From the information in part (C) the null hypothesis is not rejected.

Since the null hypothesis is not rejected, there might be a chance that not rejecting null hypothesis would be wrong. In this type of situation the error that can occur would be type II error.

(D2) The type of error describe in the context of this study is obtained by the concept of the type II error which tells that the null hypothesis is not rejected when it is actually false.

7 0
3 years ago
A pair of parallel lines is cut by a transversal. One of the angles formed measures 58°.
Trava [24]
There are three more angles with the same measure. A pair of corresponding angles and a pair of vertical angles.
6 0
3 years ago
Read 2 more answers
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