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Sati [7]
3 years ago
8

Find the value of z, if it is known that 5+2z is 3 more than 3z−4 Thanks

Mathematics
2 answers:
77julia77 [94]3 years ago
4 0
The answer is 6 I believe
Allushta [10]3 years ago
3 0

Answer:  The required value of z is 6.

Step-by-step explanation:  Given that 5+2z is 3 more than 3z-4.

We are to find the value of z.

According to the given information, the equation expressing the given statement mathematically can be written and solved as follows:

5+2z=(3z-4)+3\\\\\Rightarrow 5+2z=3z-1\\\\\Rightarrow 3z-2z=5+1\\\\\Rightarrow z=6.

Thus, the required value of z is 6.

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How many ways can five cards be selected from a standard deck of 52 cards?​
elena55 [62]

Step-by-step explanation:

If the order of the cards doesn't matter:

₅₂C₅ = 52! / (5! (52−5)!)

₅₂C₅ = 2,598,960

If the order of the cards does matter:

52 × 51 × 50 × 49 × 48 = 311,875,200

6 0
3 years ago
Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
marin [14]

Answer:

C. hyperbola; 9x^2-25y^2-250y-850=0

Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1

Multiply through by 225.

9(x-0)^2-25(y-5)^2=225

Expand

9x^2-25(y^2-10y+25)=225

9x^2-25y^2+250y-625=225

Rewrite in general form;

9x^2-25y^2+250y-625-225=0

9x^2-25y^2+250y-850=0

3 0
3 years ago
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let \mu = <u><em>mean power consumption for microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, H_A : \mu > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                                T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, <em><u>the test statistics</u></em>  =  \frac{257.3-250}{\frac{15}{\sqrt{20} } }

                                      =  2.176

The value of z test statistics is 2.176.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0
3 years ago
Answer this question im giving out brainliest
Andrews [41]

Answer:

73.5 yd squared

Step-by-step explanation:

The formula for finding an area of a triangle is Base x Height divided by 2, so 21 x 7 = 147 and dividing that by 2 gets you 73.5.

3 0
3 years ago
Read 2 more answers
13 in<br> 10 in.<br> 7 in<br> 3. What is the perimeter of the<br> (19)<br> trapezoid?
quester [9]
37 because you add 13+10=23 7+7=14 and 23+14=37
5 0
2 years ago
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