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3 years ago

What is the solution of the inequality shown below? w + 7 ≥ 2

Mathematics

2 answers:

gregori [183]3 years ago

6 0

Answer:

w $\geq$ -5

Step-by-step explanation:

Hope this helps! :D

Romashka [77]3 years ago

4 0

Answer:

W ≥ -5

Step-by-step explanation:

Subtract 7 from both sides to get W by itself. 2-7=-5

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Graph the function g(x) = 4x–7.

lukranit [14]

Answer:

two dots: (0, -7), (1, -3)

and it's the line

Step-by-step explanation:

just try x=0, g(x)=-7

and x=1, g(x)=-3

5 0

3 years ago

The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let µ denote the true average re

Zolol [24]

Answer:

a) $df=n-1=16-1=15$

The statistic calculated is given by t=3.3

Since is a one-side upper test the p value would be:

$p_v =P(t_{15}>3.3)=0.0024$

So since the p value is lower than the significance level $pv$ we reject the null hypothesis.

b) $df=n-1=8-1=7$

The statistic calculated is given by t=1.8

Since is a one-side upper test the p value would be:

$p_v =P(t_{7}>1.8)=0.057$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

c) $df=n-1=26-1=25$

The statistic calculated is given by t=-0.6

Since is a one-side upper test the p value would be:

$p_v =P(t_{25}>-0.6)=0.723$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

Step-by-step explanation:

1) Data given and notation

$\bar X$ represent the sample mean

$s$ represent the standard deviation for the sample

$n$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is higher than 20, the system of hypothesis would be:

Null hypothesis: $\mu \leq 20$

Alternative hypothesis: $\mu > 20$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

(a) n = 16, t = 3.3, a = 0.05, P-value =

First we need to calculate the degrees of freedom given by:

$df=n-1=16-1=15$

The statistic calculated is given by t=3.3

Since is a one-side upper test the p value would be:

$p_v =P(t_{15}>3.3)=0.0024$

So since the p value is lower than the significance level $pv$ we reject the null hypothesis.

(b) n = 8, t = 1.8, a = 0.01, P-value =

First we need to calculate the degrees of freedom given by:

$df=n-1=8-1=7$

The statistic calculated is given by t=1.8

Since is a one-side upper test the p value would be:

$p_v =P(t_{7}>1.8)=0.057$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

(c) n = 26,t = -0.6, P-value =

First we need to calculate the degrees of freedom given by:

$df=n-1=26-1=25$

The statistic calculated is given by t=-0.6

Since is a one-side upper test the p value would be:

$p_v =P(t_{25}>-0.6)=0.723$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

3 0

3 years ago

5 plus 2 times 10 equals

Goryan [66]

The answer is 70.
5 + 2 = 7
7 x 10 = 70

6 0

3 years ago

Read 2 more answers

Q1 - Find the circumference of following circle. Take π = 3.14

Tanzania [10]

Answer:

The circumference of the circle is C-72.22 units

Step by step explanation-

Given-

Diameter of circle (d) = 23 units
π = 3.14

Now,

<h3> $\mathfrak {circumference \: of \: circle = \pi d }$ </h3>

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 23$

$\: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ = 72.22 \: units}$

6 0

2 years ago

Read 2 more answers

Miquel created the table below to show how he uses the money he earns at work

lara [203]

Complete Question with table is attached

Answer:

Miguel will save money of $90 if he earns $120.00

Step-by-step explanation:

The figure attached clearly shows the ratio of his earnings and savings. We have to find what would be the savings amount if he earn $120.00. So, first we have to calculate the percentage of ratio of his earnings and savings. As per the data given in the figure,

If he earns $10.00, he saves $7.50, calculate %amount he saves as below,

$\frac{\$ 7.50}{\$ 10.00} \times 100=0.075 \times 100=75 \%$

Likewise, calculate for all given data. If he earns $50.00 then he saves $37.50

$\frac{\$ 37.50}{\$ 50.00} \times 100=0.75 \times 100=75 \%$

If he earns $150.00 and save $112.50,

$\frac{\$ 112.50}{\$ 150.00} \times 100=0.75 \times 100=75 \%$

So, from all above, it clearly tells that Miguel saves 75% of amount from his earnings. Now, given earnings as $120.00. By finding 75% of $120.00, we can find his savings in that amount. So,

$\frac{75}{100} \times \$ 120=0.75 \times 120=\$ 90$

6 0

3 years ago

Read 2 more answers

What is the solution of the inequality shown below? w + 7 ≥ 2​

What is the solution of the inequality shown below? w + 7 ≥ 2