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3 years ago

Solve for x in the diagram below.

Mathematics

1 answer:

user100 [1]3 years ago

5 0

Answer:

x = 34°

Step-by-step explanation:

As you can see, in your pic there is a straight angle which is equal to 180°

Therefore, all the 3 angles combined will be equal to 180°

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In 2010, there were 411 Asiatic lions in India. In 2015, there were 523 Asiatic lions in India. Work out the percentage increase

QveST [7]

Answer:

The answer is 27.25.

Step-by-step explanation:

7 0

3 years ago

What is the spuare root of 144

SVEN [57.7K]

Answer:

The square root of 144 will be 12

6 0

3 years ago

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4. Which of the following is not a prime number? A. 19 B. 11 C. 5 D. 24

Anvisha [2.4K]

Answer:

D. 24

Step-by-step explanation:

A prime number is a number that only has 2 factors, which is 1 and itself. In other words, a prime number is only divisible by 1 and itself.

19 is a prime number, because it is only divisible by 1 and itself.

11 is also a prime number because it is only divisible by 1 and itself.

5 is also a prime number because it is only divisible by 1 and itself.

24 is not a prime number because it is divisible by 1 and itself, but it is also divisible by 2, 3, 4, 6, 8, and 12.

The answer is D.

5 0

4 years ago

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An experiment was conducted to compare the use of iPads versus regular textbooks in teaching algebra to two classes of middle sc

lakkis [162]

Answer:

Step-by-step explanation:

Hello!

The objective is to determine if there is any difference between using iPads vs textbooks in teaching algebra.

Two middle school classes were selected, to eliminate any other source of variation, the same teacher taught both classes, and the materials were provided by the same author and publisher. After a month 10 students of each class were randomly selected and tested, their test scores were recorded:

X₁: test scores of students that used iPads to study.

n₁= 10

X[bar]₁= 86.8

S₁= 8.97

X₂: test scores of students that used regular textbooks to study.

n₂= 10

X[bar]₂= 79.5

S₂= 10.8

H₀: μ₁=μ₂

H₁: μ₁≠μ₂

α:0.05

Assuming that both variables are normally distributed and the population variances are equal, the statistic to use is a Student t for two independent samples with pooled sample variance:

$t_{H_0}= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }$

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

$Sa^2= \frac{9*80.4609+9*116.64}{10+10-2} = 98.55$

Sa= 9.93

$t_{H_0}= \frac{86.8-79.5}{9.93\sqrt{\frac{1}{10} +\frac{1}{10} } } = 1.64$

p-value: 0.118364

The p-value is greater than the significance level so the decision is to not reject the null hypothesis. This means that there is no significant evidence between the scores of the two groups.

95% CI

(X[bar]-X[bar])± $t_{n_1+n_2-2;1-\alpha /2}$ * $Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }$

$t_{n_1+n_2-2;1-\alpha /2}= t_{18;1.975}= 2.101$

(86.8-79.5)±2.101*(9.93 $\sqrt{\frac{1}{10} +\frac{1}{10} }$ )

[-2.03; 16.63]

With a 95% confidence level, you'd expect that the interval [-2.03; 16.63] would contain the difference between the mean scores of the two classes.

Considering that the null hypothesis wasn't rejected and that at the same level the confidence interval includes the zero, we can affirm that the format of the teaching materials, digital or regular textbooks, has no significant effect on the scores of the students.

I hope it helps!

3 0

4 years ago

How do I solve 24(x-1) = -6(4-x)+18

podryga [215]

So the right answer is 1.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

~pragya

8 0

3 years ago

Read 2 more answers