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3 years ago

What is the value of a in the equation 5a-10b=45 when b=3

2 answers:

7 0

Since b = 3 the equation changes

5a - 10(3) = 45
5a - 30 = 45

(Add 30 to both sides)
5a = 75
Divide 5 to both sides
a = 15

spin [16.1K]3 years ago

6 0

If you would like to solve the equation 5 * a - 10 * b = 45, when b = 3, you can calculate this using the following steps:

b = 3
5 * a - 10 * b = 45
5 * a - 10 * 3 = 45
5 * a - 30 = 45
5 * a = 45 + 30
5 * a = 75 /5
a = 75 / 5
a = 15

Result: The value of a is 15.

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Find the measure of the missing angle using the triangle angle sum theorm.

3241004551 [841]

A triangle is always 180 degrees so if we add 127+20 we’d get 147. 180-147 is 33 degrees. the missing angle is 33

8 0

3 years ago

A researcher wants to check the claim that convicted burglars spend less than 18.7 months in jail, on average. She takes a rando

vivado [14]

Answer:

a. No, there is not enough evidence to support the claim using a level of significance of 1%.

b. Null Hypothesis, $H_0$ : $\mu \geq$ 18.7 months

c. Alternate Hypothesis, $H_A$ : $\mu$ < 18.7 months

d. P-value of hypothesis test = 0.0199 or 1.99%

e. We conclude that the convicted burglars spend more than or equal to 18.7 months in jail, on average.

Step-by-step explanation:

We are given that a researcher wants to check the claim that convicted burglars spend less than 18.7 months in jail, on average.

She takes a random sample of 67 such cases from court files and finds that the mean is 16.8 months with a standard deviation of 7.3 months.

Let $\mu$ = true mean time convicted burglars spend in jail.

SO, Null Hypothesis, $H_0$ : $\mu \geq$ 18.7 months {means that the convicted burglars spend more than or equal to 18.7 months in jail, on average}

Alternate Hypothesis, $H_A$ : $\mu$ < 18.7 months {means that the convicted burglars spend less than 18.7 months in jail, on average}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean time spent in jail = 16.8 months

s = sample standard deviation = 7.3 months

n = sample of cases = 67

So, test statistics = $\frac{16.8-18.7}{\frac{7.3}{\sqrt{67} } }$ ~ $t_6_6$

= -2.13

Hence, the value of test statistics is -2.13.

Now, P-value of the test statistics is given by;

P-value = P( $t_6_6$ < -2.13) = 0.0199 or 1.99%

If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis as it will not fall in the rejection region.

If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis as it will fall in the rejection region.

Now, here the P-value is 0.0199 or 1.99% which is clearly higher than the level of significance of 1%, so we will not reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the convicted burglars spend more than or equal to 18.7 months in jail, on average.

6 0

3 years ago

Find the measure of angle b by solving for x

Darya [45]

Answer:

Measure of angle b = 35 degrees

Step-by-step explanation:

180 degrees is the total degrees in a triangle, so you have to do 180-80-65

180-80 = 100

100-65 = 35!

3 0

3 years ago

Solve the equation. -3x +.1 + 10x = x + 4 N olu R X = 18

zheka24 [161]

Answer:

Hence after solving the given equation we get x = 13/20.

Step-by-step explanation:

Given:

-3 x + 0.1 + 10 x = x + 4

-3 x + 10 x - x = 4 - 0.1

6 x = 3.9

x = $\frac{3.9}{6}$

x = $\frac{1.3}{2}$

x = $\frac{13}{20}$

6 0

3 years ago

3/4+5/6 divided by 2/3 in simplest form show work, please! Thanks!

Nuetrik [128]

Answer:

2 $\frac{3}{8}$

Step-by-step explanation:

3/4 + 5/6 (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3 (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

= 2 $\frac{3}{8}$

Hope this helps :)

3 0

3 years ago