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3 years ago

5x-18+8x-10=180 solve for x

Mathematics

2 answers:

ddd [48]3 years ago

7 0

Answer:

x mean multiply xd

Step-by-step explanation:

Tcecarenko [31]3 years ago

5 0

Answer:

x=16

Step-by-step explanation:

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A sample of 16 cookies is taken to test the claim that each cookie contains at least 9 chocolate chips. The average number of ch

alexandr1967 [171]

Answer:

(a) The value of z test statistics is -2.25.

(b) At 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

(c) The p-value for this test statistic is 0.0122.

(d) We conclude that the average number of chocolate chips in all the cookies is less than 9.

Step-by-step explanation:

We are given that a sample of 16 cookies is taken to test the claim that each cookie contains at least 9 chocolate chips.

The average number of chocolate chips per cookie in the sample was 7.875. The standard deviation of the population is 2.

Let $\mu$ = the average number of chocolate chips in all the cookies.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 9 {means that the average number of chocolate chips in all the cookies is at least 9}

Alternate Hypothesis, $H_A$ : $\mu$ < 9 {means that the average number of chocolate chips in all the cookies is less than 9}

The test statistics that would be used here One-sample z test statistics 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 number of chocolate chips per cookie = 7.875

$\sigma$ = population standard deviation = 2

n = sample of cookies taken = 16

So, the test statistics = $\frac{7.875-9}{\frac{2}{\sqrt{16} } }$

= -2.25

(a) The value of z test statistics is -2.25.

(b) Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is less than the critical value of z as -2.25 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

(c) The P-value of the test statistics is given by;

P-value = P(Z < -2.25) = 1 - P(Z $\leq$ 2.25)

= 1 - 0.9878 = 0.0122

(d) Therefore, we conclude that the average number of chocolate chips in all the cookies is less than 9.

8 0

3 years ago

13+2x+y+90=180 4x+1+8x-2y=180

kvv77 [185]

Answer:

333

283

Step-by-step explanation:

1 Solve for yy in 13+2x+y+90=18013+2x+y+90=180.

y=-2x+77y=−2x+77

2 Substitute y=-2x+77y=−2x+77 into 4x+1+8x-2y=1804x+1+8x−2y=180.

16x-153=18016x−153=180

3 Solve for xx in 16x-153=18016x−153=180.

x=\frac{333}{16}x=

333

4 Substitute x=\frac{333}{16}x=

333

into y=-2x+77y=−2x+77.

y=\frac{283}{8}y=

283

5 Therefore,

\begin{aligned}&x=\frac{333}{16}\\&y=\frac{283}{8}\end{aligned}

333

283

Done

7 0

3 years ago

The m m т m m Find the value of m that ma

Leokris [45]

Answer:

m = 9

Step-by-step explanation:

Same tape length measures 63 units on top and 7 times m on bottom.

Make an equation and solve for m:

7m = 63
m = 63/7
m = 9

6 0

3 years ago

Read 2 more answers

The perimeter of a quarter circle is 7.14 feet. What is the quarter circles radius

egoroff_w [7]

if the perimeter of 1/4 of the circle is 7.14, then the full circle is 4(7.14) = 28.56.

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=28.56 \end{cases}\implies 28.56=2\pi r \\\\\\ \cfrac{28.56}{2\pi }=r\implies 4.55\approx r$

and the radius is the same on any location of the circle.

5 0

3 years ago

Lane paints a square-shaped section of a

juin [17]

Answer:

8.66 ft

Step-by-step explanation:

A square is a shape that has an equivalent length and breadth across it’s cross section.

What this means is that measuring the length across the top and bottom will yield the same length value.

Thus, mathematically, let’s call the measured height h

The square of this height gives the area

thus;

h^2 = 75

h = √75

h = 8.660254037844

This is approximately 8.7 to one decimal place

4 0

3 years ago