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Artemon [7]
3 years ago
9

Dylan got his math test back and saw a -12 1/2 points on the top of his math test. The grade was 100% because he earned extra cr

edit point. How much extra credit did Dylan receive on his math test?
Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0
In order to earn 100% he had to have at least 12 1/2 extra credit points.
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In a parallelogram ABCD , the bisector of angle A bisects BC at X. Prove that AD=2 AB.
erica [24]
There's no diagram, so I made my own.
But I can't prove AD = 2*AB

7 0
3 years ago
Assume that you have a sample of n 1 equals 6​, with the sample mean Upper X overbar 1 equals 50​, and a sample standard deviati
tigry1 [53]

Answer:

t=\frac{(50 -38)-(0)}{7.46\sqrt{\frac{1}{6}+\frac{1}{5}}}=2.656

df=6+5-2=9

p_v =P(t_{9}>2.656) =0.0131

Since the p value is higher than the significance level given of 0.01 we don't have enough evidence to conclude that the true mean for group 1 is significantly higher thn the true mean for the group 2.

Step-by-step explanation:

Data given

n_1 =6 represent the sample size for group 1

n_2 =5 represent the sample size for group 2

\bar X_1 =50 represent the sample mean for the group 1

\bar X_2 =38 represent the sample mean for the group 2

s_1=7 represent the sample standard deviation for group 1

s_2=8 represent the sample standard deviation for group 2

System of hypothesis

The system of hypothesis on this case are:

Null hypothesis: \mu_1 \leq \mu_2

Alternative hypothesis: \mu_1 > \mu_2

We are assuming that the population variances for each group are the same

\sigma^2_1 =\sigma^2_2 =\sigma^2

The statistic for this case is given by:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

The pooled variance is:

S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}

We can find the pooled variance:

S^2_p =\frac{(6-1)(7)^2 +(5 -1)(8)^2}{6 +5 -2}=55.67

And the pooled deviation is:

S_p=7.46

The statistic is given by:

t=\frac{(50 -38)-(0)}{7.46\sqrt{\frac{1}{6}+\frac{1}{5}}}=2.656

The degrees of freedom are given by:

df=6+5-2=9

The p value is given by:

p_v =P(t_{9}>2.656) =0.0131

Since the p value is higher than the significance level given of 0.01 we don't have enough evidence to conclude that the true mean for group 1 is significantly higher thn the true mean for the group 2.

4 0
3 years ago
Monica is buying a new dress for her
mina [271]

Answer: Sales tax would be $5.40

Step-by-step explanation: The sales value itself of the dress (that is, without tax) is $65.49.

The amount charged as sales tax in Pearland is given as 8.25% (or 0.0825).

Hence if she is shopping in Pearland, the AMOUNT OF SALES TAX she would pay can be calculated as,

Sales tax = Sales price x 0.0825

Sales tax = 65.49 x 0.0825

Sales tax = 5.402925

Approximately to two decimal places, the sales tax becomes $5.40

7 0
3 years ago
MT is a diameter of OE. Calculate the measure of ZMTH.
irga5000 [103]

Answer:

A. 17°

Step-by-step explanation:

Recall: measure of an inscribed angle = ½(intercepted arc)

Inscribed angle = m<MTH

Intercepted arc = arc MH = 34°

Therefore,

m<MTH = ½(Arc MH)

Substitute

m<MTH = ½(34)

m<MTH = 17°

8 0
3 years ago
Round the following value to the nearest cent .<br>$506.106 <br>Im confused.
matrenka [14]
I would be 506.110 cause if it is over five then round it to ten
6 0
3 years ago
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