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rewona [7]
3 years ago
12

On October 1, Gary’s bank balance was $130. During October, he made two

Mathematics
1 answer:
swat323 years ago
8 0

Answer:

The first withdraw could be $30 the second could be $45 and the deposit could be $40

Step-by-step explanation:

130-30=100 100-45=55 95-55=40

130-30-45+40=95

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A survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10. (a)
skad [1K]

Answer:

a) The 95% of confidence intervals for the average spending

(23.872 , 32.128)

b) The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.

The null hypothesis is accepted

A survey of 25 young professionals statistically that the population mean is less than $30

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

Step:-(i)

Given data a survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10

The sample size 'n' = 25

The mean of the sample   x⁻  = $28

The standard deviation of the sample (S) = $10.

Level of significance ∝=0.05

The degrees of freedom γ =n-1 =25-1=24

tabulated value t₀.₀₅ = 2.064

<u>Step 2:-</u>

The 95% of confidence intervals for the average spending

((x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )

(28 - 2.064 \frac{10}{\sqrt{25} } ,28 + 2.064\frac{10}{\sqrt{25} } )

( 28 - 4.128 , 28 + 4.128)

(23.872 , 32.128)

a) The 95% of confidence intervals for the average spending

(23.872 , 32.128)

b)

Null hypothesis: H₀:μ<30

Alternative Hypothesis: H₁: μ>30

level of significance ∝ = 0.05

The test statistic

t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }

t = \frac{28-30 }{\frac{10}{\sqrt{25} } }

t = |-1|

The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.

The null hypothesis is accepted

<u>Conclusion</u>:-

The null hypothesis is accepted

A survey of 25 young professionals statistically that the population mean is less than $30

8 0
3 years ago
1) Find 0.2+(-0.6).<br> » Model the expression on the number line
Temka [501]

Answer:

-0.4

Step-by-step explanation:

If using a number line, start at 0.2 and go backwards 0.6 to get to -0.4

5 0
3 years ago
I drove to my parents' house at 60 miles per hour. if i had driven 50 miles an hour instead, then i would have gotten there 40 m
Fittoniya [83]
Use distance = rate x time

Let "t" be the time it took for you to drive to your parent's house at 60mph.

So 60t would be the distance.

And "t+40" would be the time it took for you to get to your parent's house at 50 mph.  And that total distance would be 50(t+40).

Since both the distances are the same, this gives us the equation:

60t = 50(t+40)

Simplify:  60t = 50t + 2000
10t = 2000
t = 200 minutes

Driving at 60 mph for 200 minutes equates to a total distance of 200 miles.
5 0
3 years ago
A circular garden has a circumference of 85 yards. Lars is digging a straight line along a diameter of the garden at a rate of 9
maks197457 [2]

Answer:

xxx

Step-by-step explanation:

5 0
2 years ago
Given that the points ( 16 , − 5 ) and ( − 40 , 16 ) lie on a line, what is the equation of the line? Select two answer.
djyliett [7]

Answer:

The equation of line with given points is  Y  = - \frac{3}{8} X + 1

Step-by-step explanation:

Given as :

The points are ( 16 , - 5 )    And ( -40 , 16 )

The line equation in points form :

Y - y1  = m ( X - x1)

Where m is the slope of line

Now , m = \frac{y2 - y1}{x2 - x1}

Or,     m = \frac{16 +5}{-40 - 16}

Or,     m =   \frac{21}{- 56}

SO, Y + 5  = m ( X - 16)

Put the value of slope

∴    Y + 5 = \frac{21}{-56} ( X - 16)

Or, ( - 56) × ( Y + 5 ) = 21 X - ( 21 × 16 )

Or,  - 56 Y - 280 = 21 X - 336

Or,   - 280 + 336 = 21 X + 56 Y

Or,    56  = 21 X + 56 Y

∴       Y  = - \frac{21}{56} X + 1

Or,      Y  = - \frac{3}{8} X + 1

Hence The equation of line with given points is  Y  = - \frac{3}{8} X + 1  Answer

4 0
3 years ago
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